%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN524-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:25:20 PM UTC 2026
% Result : Satisfiable 0.24s 0.57s
% Output : Saturation 0.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_108ERROR: Could not build tree for root c_0_118ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_102,negated_conjecture,
( ~ ndr1_1(X3)
| ~ c3_2(X3,X4)
| ~ ndr1_0
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ c4_2(X1,X2)
| c3_0
| c1_1(X3)
| c5_2(X3,a182)
| c1_2(X3,X4)
| c2_2(X3,X4) ),
c_0_100,
[final] ).
cnf(c_0_103,negated_conjecture,
( ssSkC3
| ndr1_0 ),
clause1,
[final] ).
cnf(c_0_104,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c5_1(X2)
| ~ ssSkP0(X1)
| c3_0
| c4_2(X1,a177)
| c4_1(X2) ),
c_0_101,
[final] ).
cnf(c_0_109,negated_conjecture,
( ~ ndr1_1(X3)
| ~ ndr1_1(X1)
| ~ c4_1(X3)
| ~ c1_1(X3)
| ~ c3_2(X3,X4)
| ~ c3_2(X1,X2)
| ~ c1_2(X3,X4)
| ~ c4_2(X3,X4)
| ssSkC3
| c3_0
| c1_1(X1)
| c2_2(X1,X2)
| c5_2(X1,a182)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]),
[final] ).
cnf(c_0_110,negated_conjecture,
( ~ ssSkP0(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c5_1(X2)
| ssSkC3
| c3_0
| c4_1(X2)
| c4_2(X1,a177) ),
inference(spm,[status(thm)],[c_0_104,c_0_103]),
[final] ).
cnf(c_0_111,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c5_1(X2)
| ~ ssSkP0(X1)
| c3_0
| c3_2(X1,a177)
| c4_1(X2) ),
c_0_105,
[final] ).
cnf(c_0_113,negated_conjecture,
( ~ c2_2(X3,a182)
| ~ ndr1_1(X3)
| ~ c3_2(X3,X4)
| ~ ndr1_0
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ c4_2(X1,X2)
| c3_0
| c1_1(X3)
| c1_2(X3,X4)
| c2_2(X3,X4) ),
c_0_106,
[final] ).
cnf(c_0_115,negated_conjecture,
( c5_0
| c1_0
| ndr1_1(a183) ),
clause15,
[final] ).
cnf(c_0_118,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ ssSkP1(X1)
| c3_0
| ndr1_1(X1) ),
c_0_108,
[final] ).
cnf(c_0_121,negated_conjecture,
( ~ ndr1_1(X4)
| ~ ndr1_1(X1)
| ~ ssSkP0(X4)
| ~ c4_1(X4)
| ~ c2_1(X3)
| ~ c1_1(X4)
| ~ c5_1(X3)
| ~ c3_2(X1,X2)
| ~ c3_2(X4,a177)
| ~ c1_2(X4,a177)
| ssSkC3
| c3_0
| c4_1(X3)
| c1_1(X1)
| c2_2(X1,X2)
| c5_2(X1,a182)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]),
[final] ).
cnf(c_0_122,negated_conjecture,
( ~ ssSkP0(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c5_1(X2)
| ssSkC3
| c3_0
| c4_1(X2)
| c3_2(X1,a177) ),
inference(spm,[status(thm)],[c_0_111,c_0_103]),
[final] ).
cnf(c_0_123,negated_conjecture,
( ~ ndr1_0
| ~ c5_1(X1)
| ~ ndr1_1(X1)
| ssSkC0
| c2_2(X1,a157)
| c5_2(X1,X2)
| c1_2(X1,X2) ),
c_0_112,
[final] ).
cnf(c_0_124,negated_conjecture,
( ~ ndr1_1(X3)
| ~ ndr1_1(X1)
| ~ c4_1(X3)
| ~ c1_1(X3)
| ~ c2_2(X1,a182)
| ~ c3_2(X3,X4)
| ~ c3_2(X1,X2)
| ~ c1_2(X3,X4)
| ~ c4_2(X3,X4)
| ssSkC3
| c3_0
| c1_1(X1)
| c2_2(X1,X2)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_103]),
[final] ).
cnf(c_0_125,negated_conjecture,
( c1_0
| c5_0
| c2_2(a183,X1)
| c3_2(a183,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]),
[final] ).
cnf(c_0_128,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c5_1(X2)
| ~ ssSkP0(X1)
| c3_0
| ndr1_1(X1)
| c4_1(X2) ),
c_0_116,
[final] ).
cnf(c_0_134,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ssSkC4
| c1_1(X1)
| ndr1_1(X1) ),
c_0_117,
[final] ).
cnf(c_0_142,negated_conjecture,
( ssSkP1(X1)
| ndr1_1(X1) ),
clause10,
[final] ).
cnf(c_0_143,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_2(X1,a174)
| ssSkC4
| c1_1(X1) ),
c_0_119,
[final] ).
cnf(c_0_148,negated_conjecture,
( ~ c2_2(X1,a185)
| ssSkP1(X1) ),
c_0_120,
[final] ).
cnf(c_0_154,negated_conjecture,
( ~ ndr1_1(X5)
| ~ ndr1_1(X1)
| ~ ssSkP0(X5)
| ~ c4_1(X5)
| ~ c2_1(X4)
| ~ c2_1(X3)
| ~ c1_1(X5)
| ~ c5_1(X4)
| ~ c5_1(X3)
| ~ c3_2(X1,X2)
| ~ c1_2(X5,a177)
| ssSkC3
| c3_0
| c4_1(X4)
| c4_1(X3)
| c1_1(X1)
| c2_2(X1,X2)
| c5_2(X1,a182)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]),
[final] ).
cnf(c_0_155,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_1(X1)
| ssSkC3
| ssSkC0
| c2_2(X1,a157)
| c5_2(X1,X2)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_103]),
[final] ).
cnf(c_0_157,negated_conjecture,
( ~ c3_2(X3,a182)
| ~ ndr1_1(X3)
| ~ c3_2(X3,X4)
| ~ ndr1_0
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ c4_2(X1,X2)
| c3_0
| c1_1(X3)
| c1_2(X3,X4)
| c2_2(X3,X4) ),
c_0_126,
[final] ).
cnf(c_0_160,negated_conjecture,
( ~ c3_0
| ~ ndr1_1(a180)
| ~ c1_2(a180,X1)
| ~ c5_2(a180,X1)
| c4_2(a180,X1) ),
c_0_127,
[final] ).
cnf(c_0_161,negated_conjecture,
( ~ ssSkP0(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ssSkC3
| c3_0
| ndr1_1(X2)
| c4_1(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_103]),
[final] ).
cnf(c_0_169,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c5_1(X2)
| ~ ssSkP0(X1)
| c3_0
| c2_2(X1,a177)
| c4_1(X2) ),
c_0_129,
[final] ).
cnf(c_0_173,negated_conjecture,
( ~ c3_0
| ~ c2_0
| ~ ndr1_1(a178)
| c3_2(a178,X1)
| c4_2(a178,X1) ),
c_0_130,
[final] ).
cnf(c_0_174,negated_conjecture,
( ~ c3_0
| c2_1(a180) ),
c_0_131,
[final] ).
cnf(c_0_175,negated_conjecture,
( ~ c3_0
| c3_1(a180) ),
c_0_132,
[final] ).
cnf(c_0_179,negated_conjecture,
( ~ c4_0
| ~ ndr1_1(a175)
| ~ c3_2(a175,X1)
| ~ ssSkC4
| c4_2(a175,X1)
| c2_2(a175,X1) ),
c_0_133,
[final] ).
cnf(c_0_180,negated_conjecture,
( ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| c1_1(X1)
| ssSkC4 ),
inference(spm,[status(thm)],[c_0_134,c_0_103]),
[final] ).
cnf(c_0_181,negated_conjecture,
( ~ ndr1_0
| ~ c5_1(X1)
| ~ c3_2(X1,a157)
| ~ ndr1_1(X1)
| ssSkC0
| c5_2(X1,X2)
| c1_2(X1,X2) ),
c_0_135,
[final] ).
cnf(c_0_182,negated_conjecture,
( ~ c3_0
| ~ c2_0
| c5_2(a178,a179) ),
c_0_136,
[final] ).
cnf(c_0_183,negated_conjecture,
( ~ c3_0
| ~ c2_0
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c5_1(X1)
| ~ c4_1(X1) ),
c_0_137,
[final] ).
cnf(c_0_184,negated_conjecture,
( ~ c3_0
| ~ c2_0
| c4_1(a178) ),
c_0_138,
[final] ).
cnf(c_0_185,negated_conjecture,
( ~ c3_0
| ~ c2_0
| ndr1_1(a178) ),
c_0_139,
[final] ).
cnf(c_0_186,negated_conjecture,
( ~ c3_0
| ~ c2_0
| ~ c4_2(a178,a179) ),
c_0_140,
[final] ).
cnf(c_0_188,negated_conjecture,
( ~ c3_1(X1)
| ssSkC3
| c3_0
| ndr1_1(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]),
[final] ).
cnf(c_0_194,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_2(X1,a174)
| ssSkC3
| c1_1(X1)
| ssSkC4 ),
inference(spm,[status(thm)],[c_0_143,c_0_103]),
[final] ).
cnf(c_0_197,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ ssSkP1(X1)
| c3_0
| c4_2(X1,a186) ),
c_0_144,
[final] ).
cnf(c_0_199,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_2(X1,a174)
| ssSkC4
| c1_1(X1) ),
c_0_145,
[final] ).
cnf(c_0_200,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c5_2(X1,a174)
| ssSkC4
| c1_1(X1) ),
c_0_146,
[final] ).
cnf(c_0_201,negated_conjecture,
( ~ c3_2(X1,a185)
| ssSkP1(X1) ),
c_0_147,
[final] ).
cnf(c_0_205,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_2(X1,a186)
| ~ ssSkP1(X1)
| c3_0 ),
c_0_149,
[final] ).
cnf(c_0_209,negated_conjecture,
( ~ c4_0
| ~ ssSkC4
| c1_1(a175) ),
c_0_150,
[final] ).
cnf(c_0_210,negated_conjecture,
( ~ c4_0
| ~ ssSkC4
| c2_1(a175) ),
c_0_151,
[final] ).
cnf(c_0_222,negated_conjecture,
( ~ c5_0
| ndr1_0 ),
c_0_152,
[final] ).
cnf(c_0_229,negated_conjecture,
( ssSkC2
| ndr1_0 ),
clause2,
[final] ).
cnf(c_0_235,negated_conjecture,
( ~ ndr1_1(X3)
| ~ ndr1_1(X1)
| ~ ssSkP0(X3)
| ~ c4_1(X3)
| ~ c2_1(X5)
| ~ c2_1(X4)
| ~ c1_1(X3)
| ~ c5_1(X3)
| ~ c5_1(X5)
| ~ c5_1(X4)
| ~ c3_2(X1,X2)
| ssSkC3
| c3_0
| ssSkC0
| c4_1(X5)
| c4_1(X4)
| c1_1(X1)
| c2_2(X1,X2)
| c2_2(X3,a157)
| c5_2(X3,a177)
| c5_2(X1,a182)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]),
[final] ).
cnf(c_0_236,negated_conjecture,
( ~ ndr1_1(X2)
| ~ c4_1(X2)
| ~ c1_1(X2)
| ~ c3_2(X2,X3)
| ~ c3_2(a183,X1)
| ~ c1_2(X2,X3)
| ~ c4_2(X2,X3)
| ssSkC3
| c1_0
| c5_0
| c3_0
| c1_1(a183)
| c2_2(a183,X1)
| c3_2(a183,a182)
| c1_2(a183,X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_115]),
[final] ).
cnf(c_0_237,negated_conjecture,
( ~ ndr1_1(X3)
| ~ ndr1_1(X1)
| ~ c4_1(X3)
| ~ c1_1(X3)
| ~ c3_2(X3,X4)
| ~ c3_2(X1,X2)
| ~ c3_2(X1,a182)
| ~ c1_2(X3,X4)
| ~ c4_2(X3,X4)
| ssSkC3
| c3_0
| c1_1(X1)
| c2_2(X1,X2)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_157,c_0_103]),
[final] ).
cnf(c_0_238,negated_conjecture,
( ~ c5_0
| ~ c5_2(X2,a173)
| ~ ndr1_0
| ~ c5_1(X1)
| ~ c2_1(X1)
| ~ ndr1_1(X1)
| c4_2(X1,X3)
| c5_2(X1,X3)
| c2_2(X1,X3) ),
c_0_158,
[final] ).
cnf(c_0_239,negated_conjecture,
( ~ c5_0
| ~ c3_2(X2,a173)
| ~ ndr1_0
| ~ c5_1(X1)
| ~ c2_1(X1)
| ~ ndr1_1(X1)
| c4_2(X1,X3)
| c5_2(X1,X3)
| c2_2(X1,X3) ),
c_0_159,
[final] ).
cnf(c_0_240,negated_conjecture,
( ~ ndr1_1(a180)
| ~ ssSkP0(X3)
| ~ c2_1(X2)
| ~ c1_1(X3)
| ~ c5_1(X2)
| ~ c5_2(a180,X1)
| ~ c1_2(a180,X1)
| ssSkC3
| ndr1_1(X3)
| c4_1(X2)
| c4_2(a180,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]),
[final] ).
cnf(c_0_241,negated_conjecture,
( ~ c2_0
| ~ ndr1_1(a167)
| ~ c1_2(a167,X2)
| ~ c2_2(a167,X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c5_1(X1)
| c4_2(a167,X2)
| c1_1(X1) ),
c_0_162,
[final] ).
cnf(c_0_242,negated_conjecture,
( ~ c5_0
| ~ ndr1_0
| ~ c5_1(X1)
| ~ c2_1(X1)
| ~ ndr1_1(X1)
| ndr1_1(X3)
| c4_2(X1,X2)
| c5_2(X1,X2)
| c2_2(X1,X2) ),
c_0_163,
[final] ).
cnf(c_0_243,negated_conjecture,
( ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ssSkC1
| c5_2(a163,a164)
| c1_1(X1)
| c2_1(X1) ),
c_0_164,
[final] ).
cnf(c_0_244,negated_conjecture,
( ~ c1_0
| ~ c5_2(a159,a160)
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c5_2(X1,X2)
| c3_1(X1)
| c1_1(X1)
| c2_2(X1,X2) ),
c_0_165,
[final] ).
cnf(c_0_245,negated_conjecture,
( ~ c1_0
| ~ c3_2(a159,a160)
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c5_2(X1,X2)
| c3_1(X1)
| c1_1(X1)
| c2_2(X1,X2) ),
c_0_166,
[final] ).
cnf(c_0_246,negated_conjecture,
( ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ssSkC1
| c3_1(a163)
| c1_1(X1)
| c2_1(X1) ),
c_0_167,
[final] ).
cnf(c_0_247,negated_conjecture,
( ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ssSkC1
| ndr1_1(a163)
| c1_1(X1)
| c2_1(X1) ),
c_0_168,
[final] ).
cnf(c_0_248,negated_conjecture,
( ~ ssSkP0(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c5_1(X2)
| ssSkC3
| c3_0
| c4_1(X2)
| c2_2(X1,a177) ),
inference(spm,[status(thm)],[c_0_169,c_0_103]),
[final] ).
cnf(c_0_249,negated_conjecture,
( ~ c1_2(a163,a164)
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ssSkC1
| c1_1(X1)
| c2_1(X1) ),
c_0_170,
[final] ).
cnf(c_0_250,negated_conjecture,
( ~ c3_2(a163,a164)
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ssSkC1
| c1_1(X1)
| c2_1(X1) ),
c_0_171,
[final] ).
cnf(c_0_251,negated_conjecture,
( ~ c2_1(a163)
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c4_2(X1,X2)
| ~ ssSkC1
| c1_1(X1)
| c2_1(X1) ),
c_0_172,
[final] ).
cnf(c_0_252,negated_conjecture,
( ~ c2_0
| ~ ndr1_1(a178)
| ~ ssSkP0(X3)
| ~ c2_1(X2)
| ~ c1_1(X3)
| ~ c5_1(X2)
| ssSkC3
| ndr1_1(X3)
| c4_1(X2)
| c3_2(a178,X1)
| c4_2(a178,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_161]),
[final] ).
cnf(c_0_253,negated_conjecture,
( ~ ssSkP0(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ssSkC3
| ndr1_1(X2)
| c4_1(X1)
| c2_1(a180) ),
inference(spm,[status(thm)],[c_0_174,c_0_161]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ ssSkP0(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ssSkC3
| ndr1_1(X2)
| c3_1(a180)
| c4_1(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_161]),
[final] ).
cnf(c_0_255,negated_conjecture,
( ~ c1_0
| ~ c2_1(a159)
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c5_2(X1,X2)
| c3_1(X1)
| c1_1(X1)
| c2_2(X1,X2) ),
c_0_176,
[final] ).
cnf(c_0_256,negated_conjecture,
( ~ c1_0
| ~ c3_1(a159)
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c5_2(X1,X2)
| c3_1(X1)
| c1_1(X1)
| c2_2(X1,X2) ),
c_0_177,
[final] ).
cnf(c_0_257,negated_conjecture,
( ~ c1_0
| ~ ndr1_0
| ~ ndr1_1(X1)
| ~ c5_2(X1,X2)
| ndr1_1(a159)
| c3_1(X1)
| c1_1(X1)
| c2_2(X1,X2) ),
c_0_178,
[final] ).
cnf(c_0_258,negated_conjecture,
( ~ c4_0
| ~ ndr1_1(a175)
| ~ c3_1(X2)
| ~ c3_2(a175,X1)
| ssSkC3
| ndr1_1(X2)
| c1_1(X2)
| c2_2(a175,X1)
| c4_2(a175,X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]),
[final] ).
cnf(c_0_259,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_1(X1)
| ~ c3_2(X1,a157)
| ssSkC3
| ssSkC0
| c5_2(X1,X2)
| c1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_103]),
[final] ).
cnf(c_0_260,negated_conjecture,
( ~ c2_0
| ~ ssSkP0(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ssSkC3
| ndr1_1(X2)
| c4_1(X1)
| c5_2(a178,a179) ),
inference(spm,[status(thm)],[c_0_182,c_0_161]),
[final] ).
cnf(c_0_261,negated_conjecture,
( ~ ndr1_0
| ~ c2_0
| ~ ssSkP0(X2)
| ~ c3_1(X3)
| ~ c4_1(X3)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ~ c5_1(X3)
| ssSkC3
| ndr1_1(X2)
| c4_1(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_161]),
[final] ).
cnf(c_0_262,negated_conjecture,
( ~ c2_0
| ~ ssSkP0(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ssSkC3
| ndr1_1(X2)
| c4_1(X1)
| c4_1(a178) ),
inference(spm,[status(thm)],[c_0_184,c_0_161]),
[final] ).
cnf(c_0_263,negated_conjecture,
( ~ c2_0
| ~ ssSkP0(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ssSkC3
| ndr1_1(X2)
| ndr1_1(a178)
| c4_1(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_161]),
[final] ).
cnf(c_0_264,negated_conjecture,
( ~ c2_0
| ~ ssSkP0(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c5_1(X1)
| ~ c4_2(a178,a179)
| ssSkC3
| ndr1_1(X2)
| c4_1(X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_161]),
[final] ).
cnf(c_0_265,negated_conjecture,
( ~ c2_0
| ~ ndr1_1(a167)
| ~ c1_2(a167,X2)
| ~ c3_2(a167,X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c5_1(X1)
| c1_1(X1) ),
c_0_187,
[final] ).
cnf(c_0_266,negated_conjecture,
( ~ ndr1_1(a180)
| ~ c3_1(X2)
| ~ c5_2(a180,X1)
| ~ c1_2(a180,X1)
| ssSkC3
| ndr1_1(X2)
| c4_2(a180,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_188]),
[final] ).
cnf(c_0_267,negated_conjecture,
( ~ ndr1_1(a181)
| ~ c1_2(a181,X1)
| c2_0
| c4_0
| c3_2(a181,X1)
| c5_2(a181,X1) ),
c_0_189,
[final] ).
cnf(c_0_268,negated_conjecture,
( ~ c2_0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c5_1(X1)
| c4_2(a167,a168)
| c1_1(X1) ),
c_0_190,
[final] ).
cnf(c_0_269,negated_conjecture,
( ~ c5_0
| ~ ndr1_1(a165)
| ~ c3_2(a165,X1)
| c4_2(a165,X1)
| c5_2(a165,X1) ),
c_0_191,
[final] ).
cnf(c_0_270,negated_conjecture,
( ~ ndr1_1(a158)
| ~ ssSkC0
| c1_0
| c4_2(a158,X1)
| c5_2(a158,X1)
| c1_2(a158,X1) ),
c_0_192,
[final] ).
cnf(c_0_271,negated_conjecture,
( ~ c2_0
| ~ ndr1_1(a178)
| ~ c3_1(X2)
| ssSkC3
| ndr1_1(X2)
| c3_2(a178,X1)
| c4_2(a178,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_188]),
[final] ).
cnf(c_0_272,negated_conjecture,
( ~ ndr1_1(a169)
| ssSkC2
| c5_2(a169,X1)
| c3_2(a169,X1)
| c2_2(a169,X1) ),
c_0_193,
[final] ).
cnf(c_0_273,negated_conjecture,
( ~ c3_1(a183)
| ssSkC3
| c1_0
| c5_0
| c1_1(a183)
| ssSkC4
| c3_2(a183,a174) ),
inference(spm,[status(thm)],[c_0_194,c_0_125]),
[final] ).
cnf(c_0_274,negated_conjecture,
( ~ c2_0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c5_1(X1)
| c3_2(a167,a168)
| c1_1(X1) ),
c_0_195,
[final] ).
cnf(c_0_275,negated_conjecture,
( ~ c2_0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c5_1(X1)
| c2_2(a167,a168)
| c1_1(X1) ),
c_0_196,
[final] ).
cnf(c_0_276,negated_conjecture,
( ~ ssSkP1(X1)
| ~ c3_1(X1)
| ssSkC3
| c3_0
| c4_2(X1,a186) ),
inference(spm,[status(thm)],[c_0_197,c_0_103]),
[final] ).
cnf(c_0_277,negated_conjecture,
( ~ c2_0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c5_1(X1)
| ndr1_1(a167)
| c1_1(X1) ),
c_0_198,
[final] ).
cnf(c_0_278,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_2(X1,a174)
| ssSkC3
| c1_1(X1)
| ssSkC4 ),
inference(spm,[status(thm)],[c_0_199,c_0_103]),
[final] ).
cnf(c_0_279,negated_conjecture,
( ~ c3_1(X1)
| ~ c5_2(X1,a174)
| ssSkC3
| c1_1(X1)
| ssSkC4 ),
inference(spm,[status(thm)],[c_0_200,c_0_103]),
[final] ).
cnf(c_0_280,negated_conjecture,
( ~ ndr1_0
| ~ c2_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c4_1(X2)
| ~ c5_1(X2)
| ssSkC3
| ndr1_1(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_188]),
[final] ).
cnf(c_0_281,negated_conjecture,
( c1_0
| c5_0
| ssSkP1(a183) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]),
[final] ).
cnf(c_0_282,negated_conjecture,
( ~ c2_0
| ~ c3_1(X1)
| ~ c4_2(a178,a179)
| ssSkC3
| ndr1_1(X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_188]),
[final] ).
cnf(c_0_283,negated_conjecture,
( ~ c2_0
| ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| c5_2(a178,a179) ),
inference(spm,[status(thm)],[c_0_182,c_0_188]),
[final] ).
cnf(c_0_284,negated_conjecture,
( ~ c2_0
| ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| c4_1(a178) ),
inference(spm,[status(thm)],[c_0_184,c_0_188]),
[final] ).
cnf(c_0_285,negated_conjecture,
( ~ c2_0
| ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| ndr1_1(a178) ),
inference(spm,[status(thm)],[c_0_185,c_0_188]),
[final] ).
cnf(c_0_286,negated_conjecture,
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(X1)
| c5_0
| c1_2(X1,a187) ),
c_0_203,
[final] ).
cnf(c_0_287,negated_conjecture,
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(X1)
| c5_0
| c2_2(X1,a187) ),
c_0_204,
[final] ).
cnf(c_0_288,negated_conjecture,
( ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| c2_1(a180) ),
inference(spm,[status(thm)],[c_0_174,c_0_188]),
[final] ).
cnf(c_0_289,negated_conjecture,
( ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| c3_1(a180) ),
inference(spm,[status(thm)],[c_0_175,c_0_188]),
[final] ).
cnf(c_0_290,negated_conjecture,
( ~ ssSkP1(X1)
| ~ c3_1(X1)
| ~ c1_2(X1,a186)
| ssSkC3
| c3_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_103]),
[final] ).
cnf(c_0_291,negated_conjecture,
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c5_2(X1,a187)
| c5_0 ),
c_0_206,
[final] ).
cnf(c_0_292,negated_conjecture,
( ~ c4_2(X1,a176)
| ssSkP0(X1) ),
c_0_207,
[final] ).
cnf(c_0_293,negated_conjecture,
( ~ c1_0
| ~ ndr1_0
| ~ c2_1(X1)
| c5_0
| ndr1_1(X1) ),
c_0_208,
[final] ).
cnf(c_0_294,negated_conjecture,
( ~ c4_0
| ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| c1_1(X1)
| c1_1(a175) ),
inference(spm,[status(thm)],[c_0_209,c_0_180]),
[final] ).
cnf(c_0_295,negated_conjecture,
( ~ c4_0
| ~ c3_1(X1)
| ssSkC3
| ndr1_1(X1)
| c2_1(a175)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_180]),
[final] ).
cnf(c_0_296,negated_conjecture,
( ~ c5_2(a183,a184)
| c5_0
| c1_0 ),
c_0_211,
[final] ).
cnf(c_0_297,negated_conjecture,
( ~ ssSkC3
| ~ ssSkC2
| c3_2(a171,a172) ),
c_0_212,
[final] ).
cnf(c_0_298,negated_conjecture,
( c5_0
| c1_0
| c1_2(a183,a184) ),
clause34,
[final] ).
cnf(c_0_299,negated_conjecture,
( ssSkP0(X1)
| c2_2(X1,a176) ),
clause27,
[final] ).
cnf(c_0_300,negated_conjecture,
( ~ c5_0
| c1_2(a165,a166) ),
c_0_213,
[final] ).
cnf(c_0_301,negated_conjecture,
( ~ c5_0
| c3_2(a165,a166) ),
c_0_214,
[final] ).
cnf(c_0_302,negated_conjecture,
( ssSkC1
| c1_2(a161,a162) ),
clause32,
[final] ).
cnf(c_0_303,negated_conjecture,
( ssSkC1
| c5_2(a161,a162) ),
clause31,
[final] ).
cnf(c_0_304,negated_conjecture,
( ~ ssSkC3
| ~ ssSkC2
| ndr1_1(a171) ),
c_0_215,
[final] ).
cnf(c_0_305,negated_conjecture,
( ssSkP0(X1)
| ndr1_1(X1) ),
clause11,
[final] ).
cnf(c_0_306,negated_conjecture,
( ~ c4_1(a181)
| c2_0
| c4_0 ),
c_0_216,
[final] ).
cnf(c_0_307,negated_conjecture,
( ssSkC1
| c3_2(a161,a162) ),
clause30,
[final] ).
cnf(c_0_308,negated_conjecture,
( ~ ssSkC0
| c1_0
| c5_1(a158) ),
c_0_217,
[final] ).
cnf(c_0_309,negated_conjecture,
( ~ ssSkC0
| c1_0
| c3_1(a158) ),
c_0_218,
[final] ).
cnf(c_0_310,negated_conjecture,
( c2_0
| c4_0
| c1_1(a181) ),
clause17,
[final] ).
cnf(c_0_311,negated_conjecture,
( c5_0
| c1_0
| c2_1(a183) ),
clause16,
[final] ).
cnf(c_0_312,negated_conjecture,
( ~ c5_0
| c1_1(a165) ),
c_0_219,
[final] ).
cnf(c_0_313,negated_conjecture,
( ~ c5_0
| ndr1_1(a165) ),
c_0_220,
[final] ).
cnf(c_0_314,negated_conjecture,
( ssSkC1
| c4_1(a161) ),
clause14,
[final] ).
cnf(c_0_315,negated_conjecture,
( ssSkC1
| ndr1_1(a161) ),
clause13,
[final] ).
cnf(c_0_316,negated_conjecture,
( ssSkC2
| c3_1(a169) ),
clause12,
[final] ).
cnf(c_0_317,negated_conjecture,
( ~ c4_0
| c2_0
| c3_0 ),
c_0_221,
[final] ).
cnf(c_0_318,negated_conjecture,
( c2_0
| c4_0
| ndr1_0 ),
clause5,
[final] ).
cnf(c_0_319,negated_conjecture,
( ndr1_0
| c1_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]),
[final] ).
cnf(c_0_320,negated_conjecture,
( ~ c3_1(a161)
| ssSkC1 ),
c_0_224,
[final] ).
cnf(c_0_321,negated_conjecture,
( ~ c1_1(a170)
| ssSkC3 ),
c_0_225,
[final] ).
cnf(c_0_322,negated_conjecture,
( ~ c3_1(a170)
| ssSkC3 ),
c_0_226,
[final] ).
cnf(c_0_323,negated_conjecture,
( ~ c4_0
| ~ ssSkC4
| ndr1_0 ),
c_0_227,
[final] ).
cnf(c_0_324,negated_conjecture,
( ~ ssSkC3
| ndr1_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]),
[final] ).
cnf(c_0_325,negated_conjecture,
( ~ c3_0
| ndr1_0 ),
c_0_230,
[final] ).
cnf(c_0_326,negated_conjecture,
( ssSkC1
| ndr1_0 ),
clause3,
[final] ).
cnf(c_0_327,negated_conjecture,
( ~ ndr1_1(a171)
| ~ c5_2(a171,X1)
| ~ c4_2(a171,X1)
| ~ ssSkC3
| ~ ssSkC2 ),
c_0_231,
[final] ).
cnf(c_0_328,negated_conjecture,
( ~ c1_2(a171,a172)
| ~ ssSkC3
| ~ ssSkC2 ),
c_0_232,
[final] ).
cnf(c_0_329,negated_conjecture,
( ~ c5_0
| ~ c5_2(a165,a166) ),
c_0_233,
[final] ).
cnf(c_0_330,negated_conjecture,
( ~ c4_1(a171)
| ~ ssSkC3
| ~ ssSkC2 ),
c_0_234,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN524-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n020.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 11:06:17 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.57 % Version: 3.5.1
% 0.24/0.57 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.24/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.24/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.57 % Starting sh5l with 300s (1) cores
% 0.24/0.57 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2769033 completed with status 1
% 0.24/0.57 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.24/0.57 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.24/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.24/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.57 % No SInE strategy applied
% 0.24/0.57 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.24/0.57 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.57 % Starting SubtermCWHack with 151s (1) cores
% 0.24/0.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 0.24/0.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 0.24/0.57 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 0.24/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 0.24/0.57 % H----_042_B03_F1_AE_Q4_SP_S2S with pid 2769042 completed with status 1
% 0.24/0.57 % Result found by H----_042_B03_F1_AE_Q4_SP_S2S
% 0.24/0.57 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.24/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.24/0.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.57 % No SInE strategy applied
% 0.24/0.57 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.24/0.57 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.57 % Starting SubtermCWHack with 151s (1) cores
% 0.24/0.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 0.24/0.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 0.24/0.57 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 0.24/0.57 % Preprocessing time : 0.004 s
% 0.24/0.57
% 0.24/0.57 % No proof found!
% 0.24/0.57 % SZS status Satisfiable
% 0.24/0.57 % SZS output start Saturation
% See solution above
% 0.24/0.57 % Parsed axioms : 101
% 0.24/0.57 % Removed by relevancy pruning/SinE : 0
% 0.24/0.57 % Initial clauses : 101
% 0.24/0.57 % Removed in clause preprocessing : 0
% 0.24/0.57 % Initial clauses in saturation : 101
% 0.24/0.57 % Processed clauses : 181
% 0.24/0.57 % ...of these trivial : 1
% 0.24/0.57 % ...subsumed : 29
% 0.24/0.57 % ...remaining for further processing : 151
% 0.24/0.57 % Other redundant clauses eliminated : 0
% 0.24/0.57 % Clauses deleted for lack of memory : 0
% 0.24/0.57 % Backward-subsumed : 8
% 0.24/0.57 % Backward-rewritten : 0
% 0.24/0.57 % Generated clauses : 115
% 0.24/0.57 % ...of the previous two non-redundant : 89
% 0.24/0.57 % ...aggressively subsumed : 0
% 0.24/0.57 % Contextual simplify-reflections : 0
% 0.24/0.57 % Paramodulations : 115
% 0.24/0.57 % Factorizations : 0
% 0.24/0.57 % NegExts : 0
% 0.24/0.57 % Equation resolutions : 0
% 0.24/0.57 % Disequality decompositions : 0
% 0.24/0.57 % Total rewrite steps : 0
% 0.24/0.57 % ...of those cached : 0
% 0.24/0.57 % Propositional unsat checks : 0
% 0.24/0.57 % Propositional check models : 0
% 0.24/0.57 % Propositional check unsatisfiable : 0
% 0.24/0.57 % Propositional clauses : 0
% 0.24/0.57 % Propositional clauses after purity: 0
% 0.24/0.57 % Propositional unsat core size : 0
% 0.24/0.57 % Propositional preprocessing time : 0.000
% 0.24/0.57 % Propositional encoding time : 0.000
% 0.24/0.57 % Propositional solver time : 0.000
% 0.24/0.57 % Success case prop preproc time : 0.000
% 0.24/0.57 % Success case prop encoding time : 0.000
% 0.24/0.57 % Success case prop solver time : 0.000
% 0.24/0.57 % Current number of processed clauses : 143
% 0.24/0.57 % Positive orientable unit clauses : 0
% 0.24/0.57 % Positive unorientable unit clauses: 0
% 0.24/0.57 % Negative unit clauses : 0
% 0.24/0.57 % Non-unit-clauses : 143
% 0.24/0.57 % Current number of unprocessed clauses: 0
% 0.24/0.57 % ...number of literals in the above : 0
% 0.24/0.57 % Current number of archived formulas : 0
% 0.24/0.57 % Current number of archived clauses : 8
% 0.24/0.57 % Clause-clause subsumption calls (NU) : 3288
% 0.24/0.57 % Rec. Clause-clause subsumption calls : 293
% 0.24/0.57 % Non-unit clause-clause subsumptions : 37
% 0.24/0.57 % Unit Clause-clause subsumption calls : 0
% 0.24/0.57 % Rewrite failures with RHS unbound : 0
% 0.24/0.57 % BW rewrite match attempts : 0
% 0.24/0.57 % BW rewrite match successes : 0
% 0.24/0.57 % Condensation attempts : 0
% 0.24/0.57 % Condensation successes : 0
% 0.24/0.57 % Termbank termtop insertions : 9188
% 0.24/0.57 % Search garbage collected termcells : 360
% 0.24/0.57
% 0.24/0.57 % -------------------------------------------------
% 0.24/0.57 % User time : 0.030 s
% 0.24/0.57 % System time : 0.005 s
% 0.24/0.57 % Total time : 0.035 s
% 0.24/0.57 % Maximum resident set size: 3428 pages
% 0.24/0.57
% 0.24/0.57 % -------------------------------------------------
% 0.24/0.57 % User time : 0.138 s
% 0.24/0.57 % System time : 0.023 s
% 0.24/0.57 % Total time : 0.161 s
% 0.24/0.57 % Maximum resident set size: 4608 pages
% 0.24/0.57 % E exiting
%------------------------------------------------------------------------------