%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN037-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 03:31:54 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.80s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 35
% Syntax : Number of clauses : 159 ( 6 unt; 44 nHn; 136 RR)
% Number of literals : 426 ( 0 equ; 219 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 67 ( 43 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_11,negated_conjecture,
( ~ p(X1)
| n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_15,negated_conjecture,
( ~ q(X1)
| ~ q(s5(X1))
| n5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_10,negated_conjecture,
( ~ n8
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_23,negated_conjecture,
( ~ n1(X1)
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_26,negated_conjecture,
( n1(X1)
| p(s1(X1))
| p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
cnf(clause_18,negated_conjecture,
( ~ q(X1)
| ~ n5(X1)
| q(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_14,negated_conjecture,
( ~ n6
| n5(s6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_17,negated_conjecture,
( ~ q(X2)
| ~ n5(X1)
| q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_13,negated_conjecture,
( ~ n5(X1)
| n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_35,negated_conjecture,
( ~ n10
| ~ n7
| n8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
cnf(clause_21,negated_conjecture,
( ~ q(X1)
| n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_25,negated_conjecture,
( ~ p(s1(X1))
| ~ p(X1)
| n1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_20,negated_conjecture,
( ~ n4
| p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_9,negated_conjecture,
( ~ q(s8)
| n8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_3,negated_conjecture,
( ~ n10
| ~ n6
| n9
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_16,negated_conjecture,
( n5(X1)
| q(X1)
| q(s5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_33,negated_conjecture,
( ~ n8
| ~ n7
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
cnf(clause_22,negated_conjecture,
( ~ n3
| q(s3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_31,negated_conjecture,
( ~ n9
| ~ n3
| n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_7,negated_conjecture,
( ~ n6
| ~ n9
| n10
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_30,negated_conjecture,
( n9
| n4
| n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_27,negated_conjecture,
( ~ p(X1)
| ~ n1(X1)
| p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
cnf(clause_28,negated_conjecture,
( ~ p(X2)
| ~ n1(X1)
| p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
cnf(clause_24,negated_conjecture,
( ~ n2
| n1(s2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_4,negated_conjecture,
( n10
| n6
| n9
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_1,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_19,negated_conjecture,
( ~ p(s4)
| n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_12,negated_conjecture,
( ~ n7
| p(s7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_2,negated_conjecture,
( ~ n9
| ~ n2
| n10
| n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_36,negated_conjecture,
( ~ n10
| ~ n8
| n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
cnf(clause_6,negated_conjecture,
( ~ n10
| ~ n2
| n6
| n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_29,negated_conjecture,
( ~ n4
| ~ n3
| n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
cnf(clause_34,negated_conjecture,
( n10
| n8
| n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
cnf(clause_32,negated_conjecture,
( ~ n9
| ~ n4
| n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
cnf(clause_5,negated_conjecture,
( ~ n6
| ~ n2
| n10
| n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(c_0_35,negated_conjecture,
( ~ p(X1)
| n7 ),
inference(fof_simplification,[status(thm)],[clause_11]) ).
cnf(c_0_36,negated_conjecture,
( ~ q(X1)
| ~ q(s5(X1))
| n5(X1) ),
inference(fof_simplification,[status(thm)],[clause_15]) ).
cnf(c_0_37,negated_conjecture,
( ~ n8
| q(X1) ),
inference(fof_simplification,[status(thm)],[clause_10]) ).
cnf(c_0_38,negated_conjecture,
( ~ n1(X1)
| n2 ),
inference(fof_simplification,[status(thm)],[clause_23]) ).
cnf(c_0_39,negated_conjecture,
( ~ p(X1)
| n7 ),
c_0_35 ).
cnf(c_0_40,negated_conjecture,
( n1(X1)
| p(s1(X1))
| p(X1) ),
clause_26 ).
cnf(c_0_41,negated_conjecture,
( ~ q(X1)
| ~ n5(X1)
| q(X2) ),
inference(fof_simplification,[status(thm)],[clause_18]) ).
cnf(c_0_42,negated_conjecture,
( ~ n6
| n5(s6) ),
inference(fof_simplification,[status(thm)],[clause_14]) ).
cnf(c_0_43,negated_conjecture,
( ~ q(X2)
| ~ n5(X1)
| q(X1) ),
inference(fof_simplification,[status(thm)],[clause_17]) ).
cnf(c_0_44,negated_conjecture,
( ~ n5(X1)
| n6 ),
inference(fof_simplification,[status(thm)],[clause_13]) ).
cnf(c_0_45,negated_conjecture,
( ~ q(X1)
| ~ q(s5(X1))
| n5(X1) ),
c_0_36 ).
cnf(c_0_46,negated_conjecture,
( ~ n8
| q(X1) ),
c_0_37 ).
cnf(c_0_47,negated_conjecture,
( ~ n10
| ~ n7
| n8 ),
inference(fof_simplification,[status(thm)],[clause_35]) ).
cnf(c_0_48,negated_conjecture,
( ~ n1(X1)
| n2 ),
c_0_38 ).
cnf(c_0_49,negated_conjecture,
( n7
| n1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_39]) ).
cnf(c_0_50,negated_conjecture,
( ~ q(X1)
| ~ n5(X1)
| q(X2) ),
c_0_41 ).
cnf(c_0_51,negated_conjecture,
( ~ n6
| n5(s6) ),
c_0_42 ).
cnf(c_0_52,negated_conjecture,
( ~ q(X2)
| ~ n5(X1)
| q(X1) ),
c_0_43 ).
cnf(c_0_53,negated_conjecture,
( ~ q(X1)
| n3 ),
inference(fof_simplification,[status(thm)],[clause_21]) ).
cnf(c_0_54,negated_conjecture,
( ~ n5(X1)
| n6 ),
c_0_44 ).
cnf(c_0_55,negated_conjecture,
( ~ n8
| n5(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( ~ n10
| ~ n7
| n8 ),
c_0_47 ).
cnf(c_0_57,negated_conjecture,
( n2
| n7 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( ~ p(s1(X1))
| ~ p(X1)
| n1(X1) ),
inference(fof_simplification,[status(thm)],[clause_25]) ).
cnf(c_0_59,negated_conjecture,
( ~ n4
| p(X1) ),
inference(fof_simplification,[status(thm)],[clause_20]) ).
cnf(c_0_60,negated_conjecture,
( ~ q(s8)
| n8 ),
inference(fof_simplification,[status(thm)],[clause_9]) ).
cnf(c_0_61,negated_conjecture,
( ~ n6
| ~ q(s6)
| q(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
( ~ n6
| ~ q(X1)
| q(s6) ),
inference(spm,[status(thm)],[c_0_52,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
( ~ q(X1)
| n3 ),
c_0_53 ).
cnf(c_0_64,negated_conjecture,
( ~ n10
| ~ n6
| n9
| n2 ),
inference(fof_simplification,[status(thm)],[clause_3]) ).
cnf(c_0_65,negated_conjecture,
( ~ n8
| n6 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_66,negated_conjecture,
( ~ n10
| n2
| n8 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( ~ p(s1(X1))
| ~ p(X1)
| n1(X1) ),
c_0_58 ).
cnf(c_0_68,negated_conjecture,
( ~ n4
| p(X1) ),
c_0_59 ).
cnf(c_0_69,negated_conjecture,
( n5(X1)
| q(X1)
| q(s5(X1)) ),
clause_16 ).
cnf(c_0_70,negated_conjecture,
( ~ n8
| ~ n7
| n10 ),
inference(fof_simplification,[status(thm)],[clause_33]) ).
cnf(c_0_71,negated_conjecture,
( ~ q(s8)
| n8 ),
c_0_60 ).
cnf(c_0_72,negated_conjecture,
( ~ n6
| ~ q(X2)
| q(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,negated_conjecture,
( ~ n3
| q(s3) ),
inference(fof_simplification,[status(thm)],[clause_22]) ).
cnf(c_0_74,negated_conjecture,
( ~ n9
| ~ n3
| n4 ),
inference(fof_simplification,[status(thm)],[clause_31]) ).
cnf(c_0_75,negated_conjecture,
( ~ n8
| n3 ),
inference(spm,[status(thm)],[c_0_63,c_0_46]) ).
cnf(c_0_76,negated_conjecture,
( ~ n10
| ~ n6
| n9
| n2 ),
c_0_64 ).
cnf(c_0_77,negated_conjecture,
( ~ n10
| n2
| n6 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_78,negated_conjecture,
( ~ n4
| n1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68]) ).
cnf(c_0_79,negated_conjecture,
( n5(X1)
| n3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_69]),c_0_63]) ).
cnf(c_0_80,negated_conjecture,
( ~ n8
| ~ n7
| n10 ),
c_0_70 ).
cnf(c_0_81,negated_conjecture,
( ~ n6
| ~ q(X1)
| n8 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
( ~ n3
| q(s3) ),
c_0_73 ).
cnf(c_0_83,negated_conjecture,
( ~ n9
| ~ n3
| n4 ),
c_0_74 ).
cnf(c_0_84,negated_conjecture,
( ~ n10
| n2
| n3 ),
inference(spm,[status(thm)],[c_0_75,c_0_66]) ).
cnf(c_0_85,negated_conjecture,
( ~ n10
| n2
| n9 ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( ~ n4
| n2 ),
inference(spm,[status(thm)],[c_0_48,c_0_78]) ).
cnf(c_0_87,negated_conjecture,
( n6
| n3 ),
inference(spm,[status(thm)],[c_0_54,c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( ~ n8
| n2
| n10 ),
inference(spm,[status(thm)],[c_0_80,c_0_57]) ).
cnf(c_0_89,negated_conjecture,
( ~ n6
| ~ n3
| n8 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( ~ n10
| n2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( ~ n6
| ~ n9
| n10
| n2 ),
inference(fof_simplification,[status(thm)],[clause_7]) ).
cnf(c_0_92,negated_conjecture,
( ~ n9
| n6
| n4 ),
inference(spm,[status(thm)],[c_0_83,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
( ~ n6
| ~ n3
| n2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
( n9
| n4
| n3 ),
clause_30 ).
cnf(c_0_95,negated_conjecture,
( ~ n6
| ~ n9
| n10
| n2 ),
c_0_91 ).
cnf(c_0_96,negated_conjecture,
( ~ n9
| n2
| n6 ),
inference(spm,[status(thm)],[c_0_86,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
( ~ p(X1)
| ~ n1(X1)
| p(X2) ),
inference(fof_simplification,[status(thm)],[clause_27]) ).
cnf(c_0_98,negated_conjecture,
( ~ p(X2)
| ~ n1(X1)
| p(X1) ),
inference(fof_simplification,[status(thm)],[clause_28]) ).
cnf(c_0_99,negated_conjecture,
( ~ n2
| n1(s2) ),
inference(fof_simplification,[status(thm)],[clause_24]) ).
cnf(c_0_100,negated_conjecture,
( ~ n6
| n2
| n9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_86]) ).
cnf(c_0_101,negated_conjecture,
( n10
| n6
| n9
| n2 ),
clause_4 ).
cnf(c_0_102,negated_conjecture,
( ~ n9
| n2
| n10 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( ~ n4
| n7 ),
inference(spm,[status(thm)],[c_0_39,c_0_68]) ).
cnf(c_0_104,negated_conjecture,
( ~ p(X1)
| ~ n1(X1)
| p(X2) ),
c_0_97 ).
cnf(c_0_105,negated_conjecture,
( ~ p(X2)
| ~ n1(X1)
| p(X1) ),
c_0_98 ).
cnf(c_0_106,negated_conjecture,
( ~ n2
| n1(s2) ),
c_0_99 ).
cnf(c_0_107,negated_conjecture,
n2,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_90]) ).
cnf(c_0_108,negated_conjecture,
( ~ n10
| ~ n4
| n8 ),
inference(spm,[status(thm)],[c_0_56,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( ~ p(X1)
| ~ n1(X2)
| n1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_104]),c_0_105]) ).
cnf(c_0_110,negated_conjecture,
n1(s2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_111,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(fof_simplification,[status(thm)],[clause_1]) ).
cnf(c_0_112,negated_conjecture,
( ~ n10
| ~ n4
| n6 ),
inference(spm,[status(thm)],[c_0_65,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( ~ p(s4)
| n4 ),
inference(fof_simplification,[status(thm)],[clause_19]) ).
cnf(c_0_114,negated_conjecture,
( ~ p(X1)
| n1(X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
c_0_111 ).
cnf(c_0_116,negated_conjecture,
( ~ n9
| ~ n10
| n6 ),
inference(spm,[status(thm)],[c_0_112,c_0_92]) ).
cnf(c_0_117,negated_conjecture,
( ~ p(s4)
| n4 ),
c_0_113 ).
cnf(c_0_118,negated_conjecture,
( ~ p(X2)
| p(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
( ~ n7
| p(s7) ),
inference(fof_simplification,[status(thm)],[clause_12]) ).
cnf(c_0_120,negated_conjecture,
( ~ n9
| ~ n2
| n10
| n6 ),
inference(fof_simplification,[status(thm)],[clause_2]) ).
cnf(c_0_121,negated_conjecture,
( ~ n2
| ~ n9
| ~ n10 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( ~ p(X1)
| n4 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( ~ n7
| p(s7) ),
c_0_119 ).
cnf(c_0_124,negated_conjecture,
( ~ n10
| ~ n8
| n7 ),
inference(fof_simplification,[status(thm)],[clause_36]) ).
cnf(c_0_125,negated_conjecture,
( ~ n10
| ~ n2
| n6
| n9 ),
inference(fof_simplification,[status(thm)],[clause_6]) ).
cnf(c_0_126,negated_conjecture,
( ~ n9
| ~ n2
| n10
| n6 ),
c_0_120 ).
cnf(c_0_127,negated_conjecture,
( ~ n9
| ~ n10 ),
inference(spm,[status(thm)],[c_0_121,c_0_90]) ).
cnf(c_0_128,negated_conjecture,
( ~ n7
| n4 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_129,negated_conjecture,
( ~ n10
| ~ n8
| n7 ),
c_0_124 ).
cnf(c_0_130,negated_conjecture,
( ~ n10
| ~ n2
| n6
| n9 ),
c_0_125 ).
cnf(c_0_131,negated_conjecture,
( ~ n9
| n6 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_107])]),c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( ~ n4
| ~ n3
| n9 ),
inference(fof_simplification,[status(thm)],[clause_29]) ).
cnf(c_0_133,negated_conjecture,
( ~ n10
| ~ n8
| n4 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
( ~ n10
| n6 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_107])]),c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( ~ n4
| ~ n3
| n9 ),
c_0_132 ).
cnf(c_0_136,negated_conjecture,
( ~ n10
| ~ n4
| n3 ),
inference(spm,[status(thm)],[c_0_75,c_0_108]) ).
cnf(c_0_137,negated_conjecture,
( ~ n10
| ~ n3
| n4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_89]),c_0_134]) ).
cnf(c_0_138,negated_conjecture,
( ~ n10
| ~ n4
| n9 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( ~ n10
| n4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_94]),c_0_127]) ).
cnf(c_0_140,negated_conjecture,
( n10
| n8
| n7 ),
clause_34 ).
cnf(c_0_141,negated_conjecture,
~ n10,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_127]) ).
cnf(c_0_142,negated_conjecture,
( n8
| n7 ),
inference(sr,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_143,negated_conjecture,
( ~ n8
| ~ n4
| n10 ),
inference(spm,[status(thm)],[c_0_80,c_0_103]) ).
cnf(c_0_144,negated_conjecture,
( ~ n9
| ~ n4
| n3 ),
inference(fof_simplification,[status(thm)],[clause_32]) ).
cnf(c_0_145,negated_conjecture,
( n8
| n4 ),
inference(spm,[status(thm)],[c_0_128,c_0_142]) ).
cnf(c_0_146,negated_conjecture,
( ~ n6
| ~ n4
| ~ n3
| n10 ),
inference(spm,[status(thm)],[c_0_143,c_0_89]) ).
cnf(c_0_147,negated_conjecture,
( ~ n9
| ~ n4
| n3 ),
c_0_144 ).
cnf(c_0_148,negated_conjecture,
( n4
| n3 ),
inference(spm,[status(thm)],[c_0_75,c_0_145]) ).
cnf(c_0_149,negated_conjecture,
( ~ n6
| ~ n2
| n10
| n9 ),
inference(fof_simplification,[status(thm)],[clause_5]) ).
cnf(c_0_150,negated_conjecture,
( ~ n9
| ~ n6
| ~ n4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_127]) ).
cnf(c_0_151,negated_conjecture,
( ~ n9
| n4 ),
inference(spm,[status(thm)],[c_0_83,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
( ~ n6
| ~ n2
| n10
| n9 ),
c_0_149 ).
cnf(c_0_153,negated_conjecture,
( ~ n4
| n9
| n6 ),
inference(spm,[status(thm)],[c_0_135,c_0_87]) ).
cnf(c_0_154,negated_conjecture,
( n6
| n4 ),
inference(spm,[status(thm)],[c_0_65,c_0_145]) ).
cnf(c_0_155,negated_conjecture,
~ n9,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_131]) ).
cnf(c_0_156,negated_conjecture,
( ~ n6
| n9
| n10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_107])]) ).
cnf(c_0_157,negated_conjecture,
n6,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_158,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]),c_0_141]),c_0_155]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN037-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.73 % Computer : n020.cluster.edu
% 0.11/0.73 % Model : x86_64 x86_64
% 0.11/0.73 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.73 % Memory : 8046.5625MB
% 0.11/0.73 % OS : Linux 6.8.0-71-generic
% 0.11/0.73 % CPULimit : 300
% 0.11/0.73 % WCLimit : 300
% 0.11/0.73 % DateTime : Mon Sep 21 10:40:48 UTC 2026
% 0.11/0.73 % CPUTime :
% 0.11/0.73 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.77 Running first-order theorem proving
% 0.11/0.77 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.11/0.80 % Version: 3.5.1
% 0.11/0.80 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.11/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.11/0.80 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.80 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.80 % Starting sh5l with 300s (1) cores
% 0.11/0.80 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 2711252 completed with status 0
% 0.11/0.80 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.11/0.80 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.11/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.11/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.80 % No SInE strategy applied
% 0.11/0.80 % Search class: FGHNF-FFSS11-SFFFFFNN
% 0.11/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.80 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 151s (1) cores
% 0.11/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.80 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.80 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.80 % new_bool_1 with pid 2711260 completed with status 0
% 0.11/0.80 % Result found by new_bool_1
% 0.11/0.80 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.11/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.11/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.80 % No SInE strategy applied
% 0.11/0.80 % Search class: FGHNF-FFSS11-SFFFFFNN
% 0.11/0.80 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.80 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 151s (1) cores
% 0.11/0.80 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.80 % Starting new_bool_3 with 136s (1) cores
% 0.11/0.80 % Starting new_bool_1 with 136s (1) cores
% 0.11/0.80 % Preprocessing time : 0.001 s
% 0.11/0.80 % Presaturation interreduction done
% 0.11/0.80
% 0.11/0.80 % Proof found!
% 0.11/0.80 % SZS status Unsatisfiable
% 0.11/0.80 % SZS output start CNFRefutation
% See solution above
% 0.15/0.80 % Parsed axioms : 36
% 0.15/0.80 % Removed by relevancy pruning/SinE : 0
% 0.15/0.80 % Initial clauses : 36
% 0.15/0.80 % Removed in clause preprocessing : 0
% 0.15/0.80 % Initial clauses in saturation : 36
% 0.15/0.80 % Processed clauses : 177
% 0.15/0.80 % ...of these trivial : 0
% 0.15/0.80 % ...subsumed : 38
% 0.15/0.80 % ...remaining for further processing : 139
% 0.15/0.80 % Other redundant clauses eliminated : 0
% 0.15/0.80 % Clauses deleted for lack of memory : 0
% 0.15/0.80 % Backward-subsumed : 39
% 0.15/0.80 % Backward-rewritten : 28
% 0.15/0.80 % Generated clauses : 230
% 0.15/0.80 % ...of the previous two non-redundant : 157
% 0.15/0.80 % ...aggressively subsumed : 0
% 0.15/0.80 % Contextual simplify-reflections : 20
% 0.15/0.80 % Paramodulations : 229
% 0.15/0.80 % Factorizations : 0
% 0.15/0.80 % NegExts : 0
% 0.15/0.80 % Equation resolutions : 0
% 0.15/0.80 % Disequality decompositions : 0
% 0.15/0.80 % Total rewrite steps : 15
% 0.15/0.80 % ...of those cached : 13
% 0.15/0.80 % Propositional unsat checks : 0
% 0.15/0.80 % Propositional check models : 0
% 0.15/0.80 % Propositional check unsatisfiable : 0
% 0.15/0.80 % Propositional clauses : 0
% 0.15/0.80 % Propositional clauses after purity: 0
% 0.15/0.80 % Propositional unsat core size : 0
% 0.15/0.80 % Propositional preprocessing time : 0.000
% 0.15/0.80 % Propositional encoding time : 0.000
% 0.15/0.80 % Propositional solver time : 0.000
% 0.15/0.80 % Success case prop preproc time : 0.000
% 0.15/0.80 % Success case prop encoding time : 0.000
% 0.15/0.80 % Success case prop solver time : 0.000
% 0.15/0.80 % Current number of processed clauses : 35
% 0.15/0.80 % Positive orientable unit clauses : 3
% 0.15/0.80 % Positive unorientable unit clauses: 0
% 0.15/0.80 % Negative unit clauses : 2
% 0.15/0.80 % Non-unit-clauses : 30
% 0.15/0.80 % Current number of unprocessed clauses: 43
% 0.15/0.80 % ...number of literals in the above : 144
% 0.15/0.80 % Current number of archived formulas : 0
% 0.15/0.80 % Current number of archived clauses : 104
% 0.15/0.80 % Clause-clause subsumption calls (NU) : 2099
% 0.15/0.80 % Rec. Clause-clause subsumption calls : 1616
% 0.15/0.80 % Non-unit clause-clause subsumptions : 83
% 0.15/0.80 % Unit Clause-clause subsumption calls : 20
% 0.15/0.80 % Rewrite failures with RHS unbound : 0
% 0.15/0.80 % BW rewrite match attempts : 2
% 0.15/0.80 % BW rewrite match successes : 2
% 0.15/0.80 % Condensation attempts : 0
% 0.15/0.80 % Condensation successes : 0
% 0.15/0.80 % Termbank termtop insertions : 2811
% 0.15/0.80 % Search garbage collected termcells : 71
% 0.15/0.80
% 0.15/0.80 % -------------------------------------------------
% 0.15/0.80 % User time : 0.004 s
% 0.15/0.80 % System time : 0.003 s
% 0.15/0.80 % Total time : 0.007 s
% 0.15/0.80 % Maximum resident set size: 3652 pages
% 0.15/0.80
% 0.15/0.80 % -------------------------------------------------
% 0.15/0.80 % User time : 0.028 s
% 0.15/0.80 % System time : 0.012 s
% 0.15/0.80 % Total time : 0.040 s
% 0.15/0.80 % Maximum resident set size: 4864 pages
% 0.15/0.80 % E exiting
%------------------------------------------------------------------------------