%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:47:17 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.64s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 55
% Syntax : Number of clauses : 233 ( 12 unt; 107 nHn; 233 RR)
% Number of literals : 613 ( 0 equ; 317 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 23 ( 22 usr; 23 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_19D,negated_conjecture,
( ~ c2
| ~ c1
| ~ conjline19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19D) ).
cnf(clause_11C,negated_conjecture,
( ~ a23
| ~ cI
| a22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11C) ).
cnf(clause_12A,negated_conjecture,
( ~ a
| a23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12A) ).
cnf(clause_18C,negated_conjecture,
( ~ conjline18
| s2
| s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18C) ).
cnf(clause_20,negated_conjecture,
( conjline19
| conjline18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_17A,negated_conjecture,
( ~ a22
| c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17A) ).
cnf(clause_8C,negated_conjecture,
( ~ a17
| ~ a16
| ~ s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8C) ).
cnf(clause_4C,negated_conjecture,
( ~ a13
| ~ a12
| ~ a14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4C) ).
cnf(clause_12B,negated_conjecture,
( ~ b
| a23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12B) ).
cnf(clause_7A,negated_conjecture,
( a15
| a17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7A) ).
cnf(clause_6B,negated_conjecture,
( a15
| a16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6B) ).
cnf(clause_3A,negated_conjecture,
( b
| a13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3A) ).
cnf(clause_18D,negated_conjecture,
( ~ s2
| ~ s1
| ~ conjline18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18D) ).
cnf(clause_16D,negated_conjecture,
( ~ a21
| ~ cI
| ~ s2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16D) ).
cnf(clause_5B,negated_conjecture,
( cI
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5B) ).
cnf(clause_9A,negated_conjecture,
( a15
| c1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9A) ).
cnf(clause_2A,negated_conjecture,
( a
| a12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2A) ).
cnf(clause_7C,negated_conjecture,
( ~ cI
| ~ a15
| ~ a17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7C) ).
cnf(clause_10B,negated_conjecture,
( ~ a
| b
| a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10B) ).
cnf(clause_5A,negated_conjecture,
( a14
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5A) ).
cnf(clause_8B,negated_conjecture,
( a17
| s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8B) ).
cnf(clause_3B,negated_conjecture,
( a11
| a13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3B) ).
cnf(clause_2B,negated_conjecture,
( a11
| a12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2B) ).
cnf(clause_3C,negated_conjecture,
( ~ a11
| ~ b
| ~ a13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3C) ).
cnf(clause_12C,negated_conjecture,
( ~ a23
| b
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12C) ).
cnf(clause_11B,negated_conjecture,
( ~ a22
| a23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11B) ).
cnf(clause_15B,negated_conjecture,
( ~ a26
| a25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15B) ).
cnf(clause_17C,negated_conjecture,
( ~ c2
| a26
| a22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17C) ).
cnf(clause_19C,negated_conjecture,
( ~ conjline19
| c2
| c1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19C) ).
cnf(clause_2C,negated_conjecture,
( ~ a11
| ~ a
| ~ a12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2C) ).
cnf(clause_9B,negated_conjecture,
( a11
| c1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9B) ).
cnf(clause_1A,negated_conjecture,
( a
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1A) ).
cnf(clause_16B,negated_conjecture,
( ~ cI
| a21
| s2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16B) ).
cnf(clause_5C,negated_conjecture,
( ~ cI
| ~ a14
| ~ a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5C) ).
cnf(clause_4B,negated_conjecture,
( a13
| a14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4B) ).
cnf(clause_10A,negated_conjecture,
( ~ b
| a
| a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10A) ).
cnf(clause_14A,negated_conjecture,
( ~ a25
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14A) ).
cnf(clause_4A,negated_conjecture,
( a12
| a14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4A) ).
cnf(clause_10D,negated_conjecture,
( ~ b
| ~ a
| ~ a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10D) ).
cnf(clause_1C,negated_conjecture,
( ~ b
| ~ a
| ~ a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1C) ).
cnf(clause_1B,negated_conjecture,
( b
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1B) ).
cnf(clause_9C,negated_conjecture,
( ~ a11
| ~ a15
| ~ c1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9C) ).
cnf(clause_11A,negated_conjecture,
( ~ a22
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11A) ).
cnf(clause_10C,negated_conjecture,
( ~ a21
| b
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10C) ).
cnf(clause_6C,negated_conjecture,
( ~ a15
| ~ a14
| ~ a16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6C) ).
cnf(clause_15C,negated_conjecture,
( ~ a25
| ~ a24
| a26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15C) ).
cnf(clause_8A,negated_conjecture,
( a16
| s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8A) ).
cnf(clause_17B,negated_conjecture,
( ~ a26
| c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17B) ).
cnf(clause_13A,negated_conjecture,
( cI
| a24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13A) ).
cnf(clause_14C,negated_conjecture,
( ~ b
| ~ a
| a25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14C) ).
cnf(clause_7B,negated_conjecture,
( cI
| a17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7B) ).
cnf(clause_16A,negated_conjecture,
( ~ a21
| cI
| s2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16A) ).
cnf(clause_6A,negated_conjecture,
( a14
| a16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6A) ).
cnf(clause_16C,negated_conjecture,
( ~ s2
| a21
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16C) ).
cnf(clause_14B,negated_conjecture,
( ~ a25
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14B) ).
cnf(c_0_55,negated_conjecture,
( ~ c2
| ~ c1
| ~ conjline19 ),
inference(fof_simplification,[status(thm)],[clause_19D]) ).
cnf(c_0_56,negated_conjecture,
( ~ a23
| ~ cI
| a22 ),
inference(fof_simplification,[status(thm)],[clause_11C]) ).
cnf(c_0_57,negated_conjecture,
( ~ a
| a23 ),
inference(fof_simplification,[status(thm)],[clause_12A]) ).
cnf(c_0_58,negated_conjecture,
( ~ conjline18
| s2
| s1 ),
inference(fof_simplification,[status(thm)],[clause_18C]) ).
cnf(c_0_59,negated_conjecture,
( ~ c2
| ~ c1
| ~ conjline19 ),
c_0_55 ).
cnf(c_0_60,negated_conjecture,
( conjline19
| conjline18 ),
clause_20 ).
cnf(c_0_61,negated_conjecture,
( ~ a22
| c2 ),
inference(fof_simplification,[status(thm)],[clause_17A]) ).
cnf(c_0_62,negated_conjecture,
( ~ a23
| ~ cI
| a22 ),
c_0_56 ).
cnf(c_0_63,negated_conjecture,
( ~ a
| a23 ),
c_0_57 ).
cnf(c_0_64,negated_conjecture,
( ~ a17
| ~ a16
| ~ s1 ),
inference(fof_simplification,[status(thm)],[clause_8C]) ).
cnf(c_0_65,negated_conjecture,
( ~ conjline18
| s2
| s1 ),
c_0_58 ).
cnf(c_0_66,negated_conjecture,
( ~ c1
| ~ c2
| conjline18 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( ~ a22
| c2 ),
c_0_61 ).
cnf(c_0_68,negated_conjecture,
( ~ a
| ~ cI
| a22 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( ~ a13
| ~ a12
| ~ a14 ),
inference(fof_simplification,[status(thm)],[clause_4C]) ).
cnf(c_0_70,negated_conjecture,
( ~ b
| a23 ),
inference(fof_simplification,[status(thm)],[clause_12B]) ).
cnf(c_0_71,negated_conjecture,
( ~ a17
| ~ a16
| ~ s1 ),
c_0_64 ).
cnf(c_0_72,negated_conjecture,
( a15
| a17 ),
clause_7A ).
cnf(c_0_73,negated_conjecture,
( a15
| a16 ),
clause_6B ).
cnf(c_0_74,negated_conjecture,
( ~ c1
| ~ c2
| s1
| s2 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,negated_conjecture,
( ~ a
| ~ cI
| c2 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
( ~ a13
| ~ a12
| ~ a14 ),
c_0_69 ).
cnf(c_0_77,negated_conjecture,
( b
| a13 ),
clause_3A ).
cnf(c_0_78,negated_conjecture,
( ~ s2
| ~ s1
| ~ conjline18 ),
inference(fof_simplification,[status(thm)],[clause_18D]) ).
cnf(c_0_79,negated_conjecture,
( ~ b
| a23 ),
c_0_70 ).
cnf(c_0_80,negated_conjecture,
( ~ a21
| ~ cI
| ~ s2 ),
inference(fof_simplification,[status(thm)],[clause_16D]) ).
cnf(c_0_81,negated_conjecture,
( ~ s1
| a15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( ~ a
| ~ cI
| ~ c1
| s1
| s2 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( cI
| a15 ),
clause_5B ).
cnf(c_0_84,negated_conjecture,
( a15
| c1 ),
clause_9A ).
cnf(c_0_85,negated_conjecture,
( ~ a12
| ~ a14
| b ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( a
| a12 ),
clause_2A ).
cnf(c_0_87,negated_conjecture,
( ~ s2
| ~ s1
| ~ conjline18 ),
c_0_78 ).
cnf(c_0_88,negated_conjecture,
( ~ cI
| ~ a15
| ~ a17 ),
inference(fof_simplification,[status(thm)],[clause_7C]) ).
cnf(c_0_89,negated_conjecture,
( ~ b
| ~ cI
| a22 ),
inference(spm,[status(thm)],[c_0_62,c_0_79]) ).
cnf(c_0_90,negated_conjecture,
( ~ a21
| ~ cI
| ~ s2 ),
c_0_80 ).
cnf(c_0_91,negated_conjecture,
( ~ a
| a15
| s2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]) ).
cnf(c_0_92,negated_conjecture,
( ~ a
| b
| a21 ),
inference(fof_simplification,[status(thm)],[clause_10B]) ).
cnf(c_0_93,negated_conjecture,
( ~ a14
| a
| b ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( a14
| a15 ),
clause_5A ).
cnf(c_0_95,negated_conjecture,
( ~ s1
| ~ c1
| ~ s2
| ~ c2 ),
inference(spm,[status(thm)],[c_0_87,c_0_66]) ).
cnf(c_0_96,negated_conjecture,
( ~ cI
| ~ a15
| ~ a17 ),
c_0_88 ).
cnf(c_0_97,negated_conjecture,
( a17
| s1 ),
clause_8B ).
cnf(c_0_98,negated_conjecture,
( a11
| a13 ),
clause_3B ).
cnf(c_0_99,negated_conjecture,
( a11
| a12 ),
clause_2B ).
cnf(c_0_100,negated_conjecture,
( ~ b
| ~ cI
| c2 ),
inference(spm,[status(thm)],[c_0_67,c_0_89]) ).
cnf(c_0_101,negated_conjecture,
( ~ a
| ~ a21
| a15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_83]) ).
cnf(c_0_102,negated_conjecture,
( ~ a
| b
| a21 ),
c_0_92 ).
cnf(c_0_103,negated_conjecture,
( a
| b
| a15 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( ~ a
| ~ cI
| ~ s1
| ~ c1
| ~ s2 ),
inference(spm,[status(thm)],[c_0_95,c_0_75]) ).
cnf(c_0_105,negated_conjecture,
( ~ a15
| ~ cI
| s1 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
( ~ a14
| a11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_98]),c_0_99]) ).
cnf(c_0_107,negated_conjecture,
( ~ a11
| ~ b
| ~ a13 ),
inference(fof_simplification,[status(thm)],[clause_3C]) ).
cnf(c_0_108,negated_conjecture,
( ~ b
| ~ cI
| ~ c1
| s1
| s2 ),
inference(spm,[status(thm)],[c_0_74,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
( b
| a15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( ~ a23
| b
| a ),
inference(fof_simplification,[status(thm)],[clause_12C]) ).
cnf(c_0_111,negated_conjecture,
( ~ a22
| a23 ),
inference(fof_simplification,[status(thm)],[clause_11B]) ).
cnf(c_0_112,negated_conjecture,
( ~ a26
| a25 ),
inference(fof_simplification,[status(thm)],[clause_15B]) ).
cnf(c_0_113,negated_conjecture,
( ~ c2
| a26
| a22 ),
inference(fof_simplification,[status(thm)],[clause_17C]) ).
cnf(c_0_114,negated_conjecture,
( ~ conjline19
| c2
| c1 ),
inference(fof_simplification,[status(thm)],[clause_19C]) ).
cnf(c_0_115,negated_conjecture,
( ~ a11
| ~ a
| ~ a12 ),
inference(fof_simplification,[status(thm)],[clause_2C]) ).
cnf(c_0_116,negated_conjecture,
( ~ a
| ~ a15
| ~ cI
| ~ c1
| ~ s2 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_117,negated_conjecture,
( a11
| c1 ),
clause_9B ).
cnf(c_0_118,negated_conjecture,
( a
| a11 ),
clause_1A ).
cnf(c_0_119,negated_conjecture,
( a11
| a15 ),
inference(spm,[status(thm)],[c_0_106,c_0_94]) ).
cnf(c_0_120,negated_conjecture,
( ~ cI
| a21
| s2 ),
inference(fof_simplification,[status(thm)],[clause_16B]) ).
cnf(c_0_121,negated_conjecture,
( ~ cI
| ~ a14
| ~ a15 ),
inference(fof_simplification,[status(thm)],[clause_5C]) ).
cnf(c_0_122,negated_conjecture,
( ~ a11
| ~ b
| ~ a13 ),
c_0_107 ).
cnf(c_0_123,negated_conjecture,
( a13
| a14 ),
clause_4B ).
cnf(c_0_124,negated_conjecture,
( a15
| s2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_108]),c_0_109]),c_0_83]),c_0_84]) ).
cnf(c_0_125,negated_conjecture,
( ~ b
| a
| a21 ),
inference(fof_simplification,[status(thm)],[clause_10A]) ).
cnf(c_0_126,negated_conjecture,
( ~ a23
| b
| a ),
c_0_110 ).
cnf(c_0_127,negated_conjecture,
( ~ a22
| a23 ),
c_0_111 ).
cnf(c_0_128,negated_conjecture,
( ~ a26
| a25 ),
c_0_112 ).
cnf(c_0_129,negated_conjecture,
( ~ c2
| a26
| a22 ),
c_0_113 ).
cnf(c_0_130,negated_conjecture,
( ~ a25
| a ),
inference(fof_simplification,[status(thm)],[clause_14A]) ).
cnf(c_0_131,negated_conjecture,
( ~ conjline19
| c2
| c1 ),
c_0_114 ).
cnf(c_0_132,negated_conjecture,
( ~ a11
| ~ a
| ~ a12 ),
c_0_115 ).
cnf(c_0_133,negated_conjecture,
( a12
| a14 ),
clause_4A ).
cnf(c_0_134,negated_conjecture,
( ~ b
| ~ a
| ~ a21 ),
inference(fof_simplification,[status(thm)],[clause_10D]) ).
cnf(c_0_135,negated_conjecture,
( ~ cI
| ~ s2
| a11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_136,negated_conjecture,
( ~ cI
| a21
| s2 ),
c_0_120 ).
cnf(c_0_137,negated_conjecture,
( ~ cI
| ~ a14
| ~ a15 ),
c_0_121 ).
cnf(c_0_138,negated_conjecture,
( ~ a11
| ~ b
| a14 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_139,negated_conjecture,
( ~ a21
| a15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_124]),c_0_83]) ).
cnf(c_0_140,negated_conjecture,
( ~ b
| a
| a21 ),
c_0_125 ).
cnf(c_0_141,negated_conjecture,
( ~ a22
| a
| b ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_142,negated_conjecture,
( ~ c2
| a22
| a25 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_143,negated_conjecture,
( ~ a25
| a ),
c_0_130 ).
cnf(c_0_144,negated_conjecture,
( c1
| c2
| conjline18 ),
inference(spm,[status(thm)],[c_0_131,c_0_60]) ).
cnf(c_0_145,negated_conjecture,
( ~ a11
| ~ a
| a14 ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_146,negated_conjecture,
( ~ b
| ~ a
| ~ a11 ),
inference(fof_simplification,[status(thm)],[clause_1C]) ).
cnf(c_0_147,negated_conjecture,
( ~ b
| ~ a
| ~ a21 ),
c_0_134 ).
cnf(c_0_148,negated_conjecture,
( ~ cI
| a11
| a21 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_149,negated_conjecture,
( b
| a11 ),
clause_1B ).
cnf(c_0_150,negated_conjecture,
( ~ a11
| ~ b
| ~ a15
| ~ cI ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_151,negated_conjecture,
( a
| a15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_109]) ).
cnf(c_0_152,negated_conjecture,
( ~ c2
| a
| b ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_153,negated_conjecture,
( ~ s1
| ~ s2
| c1
| c2 ),
inference(spm,[status(thm)],[c_0_87,c_0_144]) ).
cnf(c_0_154,negated_conjecture,
( ~ a11
| ~ a
| ~ a15
| ~ cI ),
inference(spm,[status(thm)],[c_0_137,c_0_145]) ).
cnf(c_0_155,negated_conjecture,
( ~ b
| ~ a
| ~ a11 ),
c_0_146 ).
cnf(c_0_156,negated_conjecture,
( ~ cI
| a11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_118]),c_0_149]) ).
cnf(c_0_157,negated_conjecture,
( ~ b
| ~ cI
| a ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_118]) ).
cnf(c_0_158,negated_conjecture,
( ~ a11
| ~ a15
| ~ c1 ),
inference(fof_simplification,[status(thm)],[clause_9C]) ).
cnf(c_0_159,negated_conjecture,
( ~ s1
| ~ s2
| a
| b
| c1 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_160,negated_conjecture,
( ~ a
| ~ cI
| b ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_109]),c_0_149]) ).
cnf(c_0_161,negated_conjecture,
( ~ b
| ~ cI ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_162,negated_conjecture,
( ~ a22
| cI ),
inference(fof_simplification,[status(thm)],[clause_11A]) ).
cnf(c_0_163,negated_conjecture,
( ~ a11
| ~ a15
| ~ c1 ),
c_0_158 ).
cnf(c_0_164,negated_conjecture,
( ~ cI
| ~ s2
| c1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_105]),c_0_151]),c_0_160]),c_0_161]) ).
cnf(c_0_165,negated_conjecture,
( ~ a22
| cI ),
c_0_162 ).
cnf(c_0_166,negated_conjecture,
( ~ a21
| b
| a ),
inference(fof_simplification,[status(thm)],[clause_10C]) ).
cnf(c_0_167,negated_conjecture,
( ~ a15
| ~ cI
| ~ s2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_156]) ).
cnf(c_0_168,negated_conjecture,
( ~ c2
| cI
| a25 ),
inference(spm,[status(thm)],[c_0_165,c_0_142]) ).
cnf(c_0_169,negated_conjecture,
( ~ a15
| ~ a14
| ~ a16 ),
inference(fof_simplification,[status(thm)],[clause_6C]) ).
cnf(c_0_170,negated_conjecture,
( ~ a25
| ~ a24
| a26 ),
inference(fof_simplification,[status(thm)],[clause_15C]) ).
cnf(c_0_171,negated_conjecture,
( ~ a21
| b
| a ),
c_0_166 ).
cnf(c_0_172,negated_conjecture,
( ~ a15
| ~ cI
| a21 ),
inference(spm,[status(thm)],[c_0_167,c_0_136]) ).
cnf(c_0_173,negated_conjecture,
( ~ c2
| a
| cI ),
inference(spm,[status(thm)],[c_0_143,c_0_168]) ).
cnf(c_0_174,negated_conjecture,
( ~ a15
| ~ a14
| ~ a16 ),
c_0_169 ).
cnf(c_0_175,negated_conjecture,
( a16
| s1 ),
clause_8A ).
cnf(c_0_176,negated_conjecture,
( ~ a26
| c2 ),
inference(fof_simplification,[status(thm)],[clause_17B]) ).
cnf(c_0_177,negated_conjecture,
( ~ a25
| ~ a24
| a26 ),
c_0_170 ).
cnf(c_0_178,negated_conjecture,
( cI
| a24 ),
clause_13A ).
cnf(c_0_179,negated_conjecture,
~ cI,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_151]),c_0_160]),c_0_161]) ).
cnf(c_0_180,negated_conjecture,
( ~ s1
| ~ s2
| a
| cI
| c1 ),
inference(spm,[status(thm)],[c_0_173,c_0_153]) ).
cnf(c_0_181,negated_conjecture,
( ~ a14
| ~ a15
| s1 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_182,negated_conjecture,
( ~ a26
| c2 ),
c_0_176 ).
cnf(c_0_183,negated_conjecture,
( ~ a25
| cI
| a26 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_184,negated_conjecture,
( ~ b
| ~ a
| a25 ),
inference(fof_simplification,[status(thm)],[clause_14C]) ).
cnf(c_0_185,negated_conjecture,
a15,
inference(sr,[status(thm)],[c_0_83,c_0_179]) ).
cnf(c_0_186,negated_conjecture,
( ~ a14
| ~ s2
| a
| cI
| c1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_83]) ).
cnf(c_0_187,negated_conjecture,
( cI
| a17 ),
clause_7B ).
cnf(c_0_188,negated_conjecture,
( ~ a25
| cI
| c2 ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_189,negated_conjecture,
( ~ b
| ~ a
| a25 ),
c_0_184 ).
cnf(c_0_190,negated_conjecture,
( ~ a11
| ~ c1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_185])]) ).
cnf(c_0_191,negated_conjecture,
( ~ b
| ~ s2
| a
| c1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_138]),c_0_179]),c_0_118]) ).
cnf(c_0_192,negated_conjecture,
( ~ a21
| cI
| s2 ),
inference(fof_simplification,[status(thm)],[clause_16A]) ).
cnf(c_0_193,negated_conjecture,
( ~ a16
| ~ s1
| cI ),
inference(spm,[status(thm)],[c_0_71,c_0_187]) ).
cnf(c_0_194,negated_conjecture,
( a14
| a16 ),
clause_6A ).
cnf(c_0_195,negated_conjecture,
( ~ a
| ~ b
| c2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_75]) ).
cnf(c_0_196,negated_conjecture,
( ~ b
| ~ s2
| a ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_118]) ).
cnf(c_0_197,negated_conjecture,
( ~ a21
| cI
| s2 ),
c_0_192 ).
cnf(c_0_198,negated_conjecture,
( ~ s1
| a14
| cI ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_199,negated_conjecture,
( ~ a
| ~ b
| ~ c1
| s1
| s2 ),
inference(spm,[status(thm)],[c_0_74,c_0_195]) ).
cnf(c_0_200,negated_conjecture,
( ~ a21
| a ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_179]),c_0_171]) ).
cnf(c_0_201,negated_conjecture,
( ~ s2
| a21
| cI ),
inference(fof_simplification,[status(thm)],[clause_16C]) ).
cnf(c_0_202,negated_conjecture,
( ~ a
| ~ b
| ~ c1
| a14
| s2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_179]) ).
cnf(c_0_203,negated_conjecture,
( ~ b
| a ),
inference(spm,[status(thm)],[c_0_200,c_0_140]) ).
cnf(c_0_204,negated_conjecture,
( ~ s2
| a21
| cI ),
c_0_201 ).
cnf(c_0_205,negated_conjecture,
( a11
| s2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_202]),c_0_203]),c_0_149]),c_0_117]) ).
cnf(c_0_206,negated_conjecture,
( a11
| a21 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_179]) ).
cnf(c_0_207,negated_conjecture,
a11,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_206]),c_0_203]),c_0_149]) ).
cnf(c_0_208,negated_conjecture,
( ~ a25
| b ),
inference(fof_simplification,[status(thm)],[clause_14B]) ).
cnf(c_0_209,negated_conjecture,
~ b,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_207])]),c_0_203]) ).
cnf(c_0_210,negated_conjecture,
a17,
inference(sr,[status(thm)],[c_0_187,c_0_179]) ).
cnf(c_0_211,negated_conjecture,
( ~ a25
| b ),
c_0_208 ).
cnf(c_0_212,negated_conjecture,
( s1
| c1
| s2
| c2 ),
inference(spm,[status(thm)],[c_0_65,c_0_144]) ).
cnf(c_0_213,negated_conjecture,
~ c1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_207])]) ).
cnf(c_0_214,negated_conjecture,
a13,
inference(sr,[status(thm)],[c_0_77,c_0_209]) ).
cnf(c_0_215,negated_conjecture,
( ~ a16
| ~ s1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_210])]) ).
cnf(c_0_216,negated_conjecture,
( ~ c2
| b
| cI ),
inference(spm,[status(thm)],[c_0_211,c_0_168]) ).
cnf(c_0_217,negated_conjecture,
( s1
| s2
| c2 ),
inference(sr,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_218,negated_conjecture,
( ~ a12
| ~ a14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_214])]) ).
cnf(c_0_219,negated_conjecture,
( ~ s1
| a14 ),
inference(spm,[status(thm)],[c_0_215,c_0_194]) ).
cnf(c_0_220,negated_conjecture,
( s1
| s2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_179]),c_0_209]) ).
cnf(c_0_221,negated_conjecture,
( ~ a14
| a ),
inference(spm,[status(thm)],[c_0_218,c_0_86]) ).
cnf(c_0_222,negated_conjecture,
( a14
| s2 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_223,negated_conjecture,
( a
| s2 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_224,negated_conjecture,
( ~ s1
| ~ s2
| b
| cI
| c1 ),
inference(spm,[status(thm)],[c_0_216,c_0_153]) ).
cnf(c_0_225,negated_conjecture,
( ~ a14
| s1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_185])]) ).
cnf(c_0_226,negated_conjecture,
( ~ a
| a14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_207])]) ).
cnf(c_0_227,negated_conjecture,
a,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_223]),c_0_179]),c_0_200]) ).
cnf(c_0_228,negated_conjecture,
( ~ a14
| ~ s2
| b
| c1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_179]) ).
cnf(c_0_229,negated_conjecture,
a14,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227])]) ).
cnf(c_0_230,negated_conjecture,
a21,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_227])]),c_0_209]) ).
cnf(c_0_231,negated_conjecture,
~ s2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229])]),c_0_213]),c_0_209]) ).
cnf(c_0_232,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_230])]),c_0_179]),c_0_231]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.58 % Computer : n004.cluster.edu
% 0.12/0.58 % Model : x86_64 x86_64
% 0.12/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58 % Memory : 8046.5625MB
% 0.12/0.58 % OS : Linux 6.8.0-71-generic
% 0.12/0.58 % CPULimit : 300
% 0.12/0.58 % WCLimit : 300
% 0.12/0.58 % DateTime : Sun Sep 20 20:47:07 UTC 2026
% 0.12/0.58 % CPUTime :
% 0.12/0.58 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.61 Running first-order theorem proving
% 0.12/0.62 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
% 0.16/0.64 % Version: 3.5.1
% 0.16/0.64 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.16/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.64 % Starting sh5l with 300s (1) cores
% 0.16/0.64 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 1464701 completed with status 0
% 0.16/0.64 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.16/0.64 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.16/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.64 % No SInE strategy applied
% 0.16/0.64 % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.16/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 151s (1) cores
% 0.16/0.64 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.16/0.64 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.64 % Starting new_bool_1 with 136s (1) cores
% 0.16/0.64 % SubtermCWHack with pid 1464705 completed with status 0
% 0.16/0.64 % Result found by SubtermCWHack
% 0.16/0.64 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.16/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.16/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.64 % No SInE strategy applied
% 0.16/0.64 % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.16/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.64 % Preprocessing time : 0.001 s
% 0.16/0.64
% 0.16/0.64 % Proof found!
% 0.16/0.64 % SZS status Unsatisfiable
% 0.16/0.64 % SZS output start CNFRefutation
% See solution above
% 0.16/0.64 % Parsed axioms : 61
% 0.16/0.64 % Removed by relevancy pruning/SinE : 0
% 0.16/0.64 % Initial clauses : 61
% 0.16/0.64 % Removed in clause preprocessing : 0
% 0.16/0.64 % Initial clauses in saturation : 61
% 0.16/0.64 % Processed clauses : 206
% 0.16/0.64 % ...of these trivial : 2
% 0.16/0.64 % ...subsumed : 24
% 0.16/0.64 % ...remaining for further processing : 179
% 0.16/0.64 % Other redundant clauses eliminated : 0
% 0.16/0.64 % Clauses deleted for lack of memory : 0
% 0.16/0.64 % Backward-subsumed : 81
% 0.16/0.64 % Backward-rewritten : 48
% 0.16/0.64 % Generated clauses : 340
% 0.16/0.64 % ...of the previous two non-redundant : 180
% 0.16/0.64 % ...aggressively subsumed : 0
% 0.16/0.64 % Contextual simplify-reflections : 39
% 0.16/0.64 % Paramodulations : 321
% 0.16/0.64 % Factorizations : 0
% 0.16/0.64 % NegExts : 0
% 0.16/0.64 % Equation resolutions : 0
% 0.16/0.64 % Disequality decompositions : 0
% 0.16/0.64 % Total rewrite steps : 50
% 0.16/0.64 % ...of those cached : 40
% 0.16/0.64 % Propositional unsat checks : 0
% 0.16/0.64 % Propositional check models : 0
% 0.16/0.64 % Propositional check unsatisfiable : 0
% 0.16/0.64 % Propositional clauses : 0
% 0.16/0.64 % Propositional clauses after purity: 0
% 0.16/0.64 % Propositional unsat core size : 0
% 0.16/0.64 % Propositional preprocessing time : 0.000
% 0.16/0.64 % Propositional encoding time : 0.000
% 0.16/0.64 % Propositional solver time : 0.000
% 0.16/0.64 % Success case prop preproc time : 0.000
% 0.16/0.64 % Success case prop encoding time : 0.000
% 0.16/0.64 % Success case prop solver time : 0.000
% 0.16/0.64 % Current number of processed clauses : 31
% 0.16/0.64 % Positive orientable unit clauses : 10
% 0.16/0.64 % Positive unorientable unit clauses: 0
% 0.16/0.64 % Negative unit clauses : 6
% 0.16/0.64 % Non-unit-clauses : 15
% 0.16/0.64 % Current number of unprocessed clauses: 13
% 0.16/0.64 % ...number of literals in the above : 33
% 0.16/0.64 % Current number of archived formulas : 0
% 0.16/0.64 % Current number of archived clauses : 148
% 0.16/0.64 % Clause-clause subsumption calls (NU) : 5188
% 0.16/0.64 % Rec. Clause-clause subsumption calls : 1835
% 0.16/0.64 % Non-unit clause-clause subsumptions : 93
% 0.16/0.64 % Unit Clause-clause subsumption calls : 343
% 0.16/0.64 % Rewrite failures with RHS unbound : 0
% 0.16/0.64 % BW rewrite match attempts : 10
% 0.16/0.64 % BW rewrite match successes : 10
% 0.16/0.64 % Condensation attempts : 0
% 0.16/0.64 % Condensation successes : 0
% 0.16/0.64 % Termbank termtop insertions : 3566
% 0.16/0.64 % Search garbage collected termcells : 79
% 0.16/0.64
% 0.16/0.64 % -------------------------------------------------
% 0.16/0.64 % User time : 0.009 s
% 0.16/0.64 % System time : 0.002 s
% 0.16/0.64 % Total time : 0.011 s
% 0.16/0.64 % Maximum resident set size: 3400 pages
% 0.16/0.64
% 0.16/0.64 % -------------------------------------------------
% 0.16/0.64 % User time : 0.031 s
% 0.16/0.64 % System time : 0.008 s
% 0.16/0.64 % Total time : 0.039 s
% 0.16/0.64 % Maximum resident set size: 4608 pages
% 0.16/0.64 % E exiting
%------------------------------------------------------------------------------