%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 03:32:40 PM UTC 2026
% Result : Unsatisfiable 0.51s 0.50s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 46
% Syntax : Number of clauses : 184 ( 60 unt; 0 nHn; 146 RR)
% Number of literals : 399 ( 0 equ; 219 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 307 ( 114 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_057,axiom,
( ~ r0(X1)
| n1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_057) ).
cnf(rule_001,axiom,
( ~ n0(X2,X1)
| k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(rule_088,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
cnf(rule_179,axiom,
( ~ n1(X1,X1,X2)
| ~ k1(X2)
| q2(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_179) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(rule_082,axiom,
( ~ p1(X3,X1,X4)
| ~ m0(X3,X1,X4)
| p1(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_082) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_021,axiom,
( ~ k0(X2)
| ~ l0(X1)
| m1(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
cnf(rule_007,axiom,
( ~ r0(X1)
| ~ p0(X3,X2)
| m1(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).
cnf(rule_255,axiom,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(rule_085,axiom,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(axiom_12,axiom,
m0(a,X1,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_298,axiom,
( ~ p0(X4,X1)
| ~ q3(X2,X3)
| ~ n3(X1)
| r4(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
cnf(rule_137,axiom,
( ~ p1(X2,X3,X1)
| n2(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(rule_201,axiom,
( ~ m2(X3)
| ~ m2(X4)
| ~ p1(X2,X3,X1)
| k3(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_201) ).
cnf(rule_136,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_136) ).
cnf(axiom_11,axiom,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
cnf(rule_176,axiom,
( ~ m1(X2,X1,X2)
| p2(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(rule_236,axiom,
( ~ n2(X1)
| m3(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).
cnf(rule_155,axiom,
( ~ p2(e,X1,X2)
| ~ k1(X3)
| p2(X1,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_155) ).
cnf(rule_126,axiom,
( ~ s1(X3)
| ~ q0(X1,X2)
| s1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(rule_125,axiom,
( ~ p0(X1,X1)
| s1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(rule_286,axiom,
( ~ n3(X1)
| ~ q3(X2,X3)
| p4(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_286) ).
cnf(rule_240,axiom,
( ~ p2(X2,X3,X1)
| n3(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_314,axiom,
( ~ r4(X1)
| n5(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_314) ).
cnf(rule_295,axiom,
( ~ m3(X4,X5,X4)
| ~ q2(X4,X2,X1)
| ~ k3(X3,X3,X1)
| q4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_181,axiom,
( ~ p1(X1,X1,X1)
| q2(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(rule_267,axiom,
( ~ p2(X1,X3,X2)
| r3(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(rule_100,axiom,
( ~ n0(X2,X1)
| q1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_100) ).
cnf(rule_133,axiom,
( ~ m0(X4,X3,X1)
| ~ s1(X3)
| ~ p0(X2,X2)
| l2(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(rule_307,axiom,
( ~ n5(X5,X2)
| ~ p4(X5,X5,X2)
| ~ n4(X1,X4)
| ~ q4(X3,X4)
| n5(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_307) ).
cnf(rule_284,axiom,
( ~ m3(X1,X1,X1)
| ~ k4(X2)
| n4(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_284) ).
cnf(rule_276,axiom,
( ~ r3(X1,e,X2)
| ~ q1(a,a,X2)
| ~ q3(X1,X1)
| k4(e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_276) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(rule_258,axiom,
( ~ l2(X3,X3)
| ~ s1(X2)
| ~ r2(X1)
| q3(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_124,axiom,
( ~ q1(d,X2,d)
| ~ s0(d)
| ~ q0(X1,X2)
| r1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(rule_117,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(prove_this,negated_conjecture,
~ n5(e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_188,axiom,
( ~ l0(X1)
| ~ r1(X1)
| r2(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).
cnf(c_0_46,plain,
( ~ r0(X1)
| n1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_057]) ).
cnf(c_0_47,plain,
( ~ n0(X2,X1)
| k1(X1) ),
inference(fof_simplification,[status(thm)],[rule_001]) ).
cnf(c_0_48,plain,
( ~ l0(a)
| p1(a,a,a) ),
inference(fof_simplification,[status(thm)],[rule_088]) ).
cnf(c_0_49,plain,
( ~ n1(X1,X1,X2)
| ~ k1(X2)
| q2(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_179]) ).
cnf(c_0_50,plain,
( ~ r0(X1)
| n1(X1,X1,X1) ),
c_0_46 ).
cnf(c_0_51,axiom,
r0(e),
axiom_13 ).
cnf(c_0_52,plain,
( ~ n0(X2,X1)
| k1(X1) ),
c_0_47 ).
cnf(c_0_53,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_54,plain,
( ~ p1(X3,X1,X4)
| ~ m0(X3,X1,X4)
| p1(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[rule_082]) ).
cnf(c_0_55,plain,
( ~ l0(a)
| p1(a,a,a) ),
c_0_48 ).
cnf(c_0_56,axiom,
l0(a),
axiom_20 ).
cnf(c_0_57,plain,
( ~ k0(X2)
| ~ l0(X1)
| m1(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_021]) ).
cnf(c_0_58,plain,
( ~ r0(X1)
| ~ p0(X3,X2)
| m1(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_007]) ).
cnf(c_0_59,plain,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_255]) ).
cnf(c_0_60,plain,
( ~ n1(X1,X1,X2)
| ~ k1(X2)
| q2(X1,X1,X1) ),
c_0_49 ).
cnf(c_0_61,plain,
n1(e,e,e),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,plain,
k1(e),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,plain,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_085]) ).
cnf(c_0_64,plain,
( ~ p1(X3,X1,X4)
| ~ m0(X3,X1,X4)
| p1(X1,X2,X3) ),
c_0_54 ).
cnf(c_0_65,plain,
p1(a,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).
cnf(c_0_66,axiom,
m0(a,X1,a),
axiom_12 ).
cnf(c_0_67,plain,
( ~ k0(X2)
| ~ l0(X1)
| m1(X1,X2,X1) ),
c_0_57 ).
cnf(c_0_68,axiom,
k0(e),
axiom_28 ).
cnf(c_0_69,plain,
( ~ r0(X1)
| ~ p0(X3,X2)
| m1(X1,X2,X1) ),
c_0_58 ).
cnf(c_0_70,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_71,plain,
( ~ p0(X4,X1)
| ~ q3(X2,X3)
| ~ n3(X1)
| r4(X1) ),
inference(fof_simplification,[status(thm)],[rule_298]) ).
cnf(c_0_72,plain,
( ~ n0(X3,X1)
| ~ q2(X3,X1,X2)
| q3(X1,X2) ),
c_0_59 ).
cnf(c_0_73,plain,
q2(e,e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_74,plain,
( ~ p1(X2,X3,X1)
| n2(X1) ),
inference(fof_simplification,[status(thm)],[rule_137]) ).
cnf(c_0_75,plain,
( ~ p0(X2,X1)
| p1(X1,X1,X1) ),
c_0_63 ).
cnf(c_0_76,plain,
( ~ m2(X3)
| ~ m2(X4)
| ~ p1(X2,X3,X1)
| k3(X1,X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_201]) ).
cnf(c_0_77,plain,
p1(a,X1,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_78,plain,
( ~ k1(b)
| m2(b) ),
inference(fof_simplification,[status(thm)],[rule_136]) ).
cnf(c_0_79,axiom,
n0(e,b),
axiom_11 ).
cnf(c_0_80,plain,
( ~ m1(X2,X1,X2)
| p2(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_176]) ).
cnf(c_0_81,plain,
( ~ l0(X1)
| m1(X1,e,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_82,plain,
( ~ r0(X1)
| m1(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_83,plain,
( ~ p0(X4,X1)
| ~ q3(X2,X3)
| ~ n3(X1)
| r4(X1) ),
c_0_71 ).
cnf(c_0_84,plain,
q3(e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_53])]) ).
cnf(c_0_85,plain,
( ~ n2(X1)
| m3(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_236]) ).
cnf(c_0_86,plain,
( ~ p1(X2,X3,X1)
| n2(X1) ),
c_0_74 ).
cnf(c_0_87,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_75,c_0_70]) ).
cnf(c_0_88,plain,
( ~ m2(X3)
| ~ m2(X4)
| ~ p1(X2,X3,X1)
| k3(X1,X1,X2) ),
c_0_76 ).
cnf(c_0_89,plain,
p1(X1,X2,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_77]),c_0_66])]) ).
cnf(c_0_90,plain,
( ~ k1(b)
| m2(b) ),
c_0_78 ).
cnf(c_0_91,plain,
k1(b),
inference(spm,[status(thm)],[c_0_52,c_0_79]) ).
cnf(c_0_92,plain,
( ~ p2(e,X1,X2)
| ~ k1(X3)
| p2(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[rule_155]) ).
cnf(c_0_93,plain,
( ~ m1(X2,X1,X2)
| p2(X1,X2,X1) ),
c_0_80 ).
cnf(c_0_94,plain,
m1(a,e,a),
inference(spm,[status(thm)],[c_0_81,c_0_56]) ).
cnf(c_0_95,plain,
( ~ s1(X3)
| ~ q0(X1,X2)
| s1(X1) ),
inference(fof_simplification,[status(thm)],[rule_126]) ).
cnf(c_0_96,plain,
( ~ p0(X1,X1)
| s1(X1) ),
inference(fof_simplification,[status(thm)],[rule_125]) ).
cnf(c_0_97,plain,
( ~ n3(X1)
| ~ q3(X2,X3)
| p4(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_286]) ).
cnf(c_0_98,plain,
( ~ p2(X2,X3,X1)
| n3(X1) ),
inference(fof_simplification,[status(thm)],[rule_240]) ).
cnf(c_0_99,plain,
m1(e,X1,e),
inference(spm,[status(thm)],[c_0_82,c_0_51]) ).
cnf(c_0_100,plain,
( ~ r4(X1)
| n5(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_314]) ).
cnf(c_0_101,plain,
( ~ p0(X2,X1)
| ~ n3(X1)
| r4(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_102,plain,
( ~ m3(X4,X5,X4)
| ~ q2(X4,X2,X1)
| ~ k3(X3,X3,X1)
| q4(X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_295]) ).
cnf(c_0_103,plain,
( ~ n2(X1)
| m3(X1,X1,X1) ),
c_0_85 ).
cnf(c_0_104,plain,
n2(X1),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_105,plain,
( ~ m2(X3)
| ~ m2(X2)
| k3(a,a,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_106,plain,
m2(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).
cnf(c_0_107,plain,
( ~ p2(e,X1,X2)
| ~ k1(X3)
| p2(X1,X2,X2) ),
c_0_92 ).
cnf(c_0_108,plain,
p2(e,a,e),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_109,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_110,plain,
( ~ s1(X3)
| ~ q0(X1,X2)
| s1(X1) ),
c_0_95 ).
cnf(c_0_111,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_112,plain,
( ~ p0(X1,X1)
| s1(X1) ),
c_0_96 ).
cnf(c_0_113,plain,
( ~ n3(X1)
| ~ q3(X2,X3)
| p4(X1,X1,X1) ),
c_0_97 ).
cnf(c_0_114,plain,
( ~ p2(X2,X3,X1)
| n3(X1) ),
c_0_98 ).
cnf(c_0_115,plain,
p2(X1,e,X1),
inference(spm,[status(thm)],[c_0_93,c_0_99]) ).
cnf(c_0_116,plain,
( ~ r4(X1)
| n5(X1,X1) ),
c_0_100 ).
cnf(c_0_117,plain,
( ~ n3(X1)
| r4(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_70]) ).
cnf(c_0_118,plain,
( ~ m3(X4,X5,X4)
| ~ q2(X4,X2,X1)
| ~ k3(X3,X3,X1)
| q4(X1,X2) ),
c_0_102 ).
cnf(c_0_119,plain,
m3(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).
cnf(c_0_120,plain,
( ~ m2(X2)
| k3(a,a,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_121,plain,
( ~ p1(X1,X1,X1)
| q2(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_181]) ).
cnf(c_0_122,plain,
( ~ p2(X1,X3,X2)
| r3(X1,X2,X1) ),
inference(fof_simplification,[status(thm)],[rule_267]) ).
cnf(c_0_123,plain,
( ~ k1(X1)
| p2(a,e,e) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_124,plain,
k1(c),
inference(spm,[status(thm)],[c_0_52,c_0_109]) ).
cnf(c_0_125,plain,
( ~ n0(X2,X1)
| q1(X1,X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_100]) ).
cnf(c_0_126,plain,
( ~ m0(X4,X3,X1)
| ~ s1(X3)
| ~ p0(X2,X2)
| l2(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_133]) ).
cnf(c_0_127,plain,
( ~ s1(X2)
| s1(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_128,plain,
s1(b),
inference(spm,[status(thm)],[c_0_112,c_0_70]) ).
cnf(c_0_129,plain,
( ~ n5(X5,X2)
| ~ p4(X5,X5,X2)
| ~ n4(X1,X4)
| ~ q4(X3,X4)
| n5(X1,X2) ),
inference(fof_simplification,[status(thm)],[rule_307]) ).
cnf(c_0_130,plain,
( ~ n3(X1)
| p4(X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_84]) ).
cnf(c_0_131,plain,
n3(X1),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_132,plain,
( ~ n3(X1)
| n5(X1,X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_133,plain,
( ~ q2(X4,X2,X1)
| ~ k3(X3,X3,X1)
| q4(X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_134,plain,
k3(a,a,X1),
inference(spm,[status(thm)],[c_0_120,c_0_106]) ).
cnf(c_0_135,plain,
( ~ p1(X1,X1,X1)
| q2(X1,X1,X1) ),
c_0_121 ).
cnf(c_0_136,plain,
( ~ m3(X1,X1,X1)
| ~ k4(X2)
| n4(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_284]) ).
cnf(c_0_137,plain,
( ~ r3(X1,e,X2)
| ~ q1(a,a,X2)
| ~ q3(X1,X1)
| k4(e) ),
inference(fof_simplification,[status(thm)],[rule_276]) ).
cnf(c_0_138,plain,
( ~ p2(X1,X3,X2)
| r3(X1,X2,X1) ),
c_0_122 ).
cnf(c_0_139,plain,
p2(a,e,e),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_140,plain,
( ~ n0(X2,X1)
| q1(X1,X1,X1) ),
c_0_125 ).
cnf(c_0_141,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_142,plain,
( ~ m0(X4,X3,X1)
| ~ s1(X3)
| ~ p0(X2,X2)
| l2(X1,X1) ),
c_0_126 ).
cnf(c_0_143,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_144,plain,
( ~ n5(X5,X2)
| ~ p4(X5,X5,X2)
| ~ n4(X1,X4)
| ~ q4(X3,X4)
| n5(X1,X2) ),
c_0_129 ).
cnf(c_0_145,plain,
p4(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
cnf(c_0_146,plain,
n5(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_131])]) ).
cnf(c_0_147,plain,
( ~ q2(X3,X2,X1)
| q4(X1,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_148,plain,
q2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_87])]) ).
cnf(c_0_149,plain,
( ~ m3(X1,X1,X1)
| ~ k4(X2)
| n4(X1,X1) ),
c_0_136 ).
cnf(c_0_150,plain,
( ~ r3(X1,e,X2)
| ~ q1(a,a,X2)
| ~ q3(X1,X1)
| k4(e) ),
c_0_137 ).
cnf(c_0_151,plain,
r3(a,e,a),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_152,plain,
q1(a,a,a),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_153,plain,
( ~ l2(X3,X3)
| ~ s1(X2)
| ~ r2(X1)
| q3(X1,X1) ),
inference(fof_simplification,[status(thm)],[rule_258]) ).
cnf(c_0_154,plain,
( ~ m0(X3,X4,X1)
| ~ p0(X2,X2)
| l2(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).
cnf(c_0_155,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_156,plain,
( ~ n4(X1,X4)
| ~ q4(X3,X4)
| n5(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).
cnf(c_0_157,plain,
q4(X1,X1),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_158,plain,
( ~ k4(X2)
| n4(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_119])]) ).
cnf(c_0_159,plain,
( ~ q3(a,a)
| k4(e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152])]) ).
cnf(c_0_160,plain,
( ~ l2(X3,X3)
| ~ s1(X2)
| ~ r2(X1)
| q3(X1,X1) ),
c_0_153 ).
cnf(c_0_161,plain,
( ~ p0(X2,X2)
| l2(X1,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_162,plain,
( ~ q1(d,X2,d)
| ~ s0(d)
| ~ q0(X1,X2)
| r1(X1) ),
inference(fof_simplification,[status(thm)],[rule_124]) ).
cnf(c_0_163,plain,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
inference(fof_simplification,[status(thm)],[rule_117]) ).
cnf(c_0_164,plain,
( ~ n4(X1,X3)
| n5(X1,X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_165,plain,
( ~ q3(a,a)
| n4(X1,X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_166,plain,
( ~ l2(X2,X2)
| ~ r2(X1)
| q3(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_143])]) ).
cnf(c_0_167,plain,
l2(X1,X1),
inference(spm,[status(thm)],[c_0_161,c_0_70]) ).
cnf(c_0_168,plain,
( ~ q1(d,X2,d)
| ~ s0(d)
| ~ q0(X1,X2)
| r1(X1) ),
c_0_162 ).
cnf(c_0_169,axiom,
s0(d),
axiom_1 ).
cnf(c_0_170,plain,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
c_0_163 ).
cnf(c_0_171,negated_conjecture,
~ n5(e,a),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_172,plain,
( ~ q3(a,a)
| n5(X1,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_173,plain,
( ~ r2(X1)
| q3(X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_174,plain,
( ~ l0(X1)
| ~ r1(X1)
| r2(X1) ),
inference(fof_simplification,[status(thm)],[rule_188]) ).
cnf(c_0_175,plain,
( ~ q0(X1,X2)
| ~ q1(d,X2,d)
| r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169])]) ).
cnf(c_0_176,plain,
q1(d,d,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_169]),c_0_68])]) ).
cnf(c_0_177,negated_conjecture,
~ n5(e,a),
c_0_171 ).
cnf(c_0_178,plain,
( ~ r2(a)
| n5(X1,X2) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_179,plain,
( ~ l0(X1)
| ~ r1(X1)
| r2(X1) ),
c_0_174 ).
cnf(c_0_180,plain,
r1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_111]),c_0_176])]) ).
cnf(c_0_181,negated_conjecture,
~ r2(a),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_182,plain,
( ~ l0(X1)
| r2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_180])]) ).
cnf(c_0_183,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:50:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.51/0.50 % Version: 3.5.1
% 0.51/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.51/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.51/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.51/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.51/0.50 % Starting sh5l with 300s (1) cores
% 0.51/0.50 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2929100 completed with status 0
% 0.51/0.50 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.51/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.51/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.51/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.50 % No SInE strategy applied
% 0.51/0.50 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.51/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.51/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.51/0.50 % Starting new_bool_3 with 136s (1) cores
% 0.51/0.50 % Starting new_bool_1 with 136s (1) cores
% 0.51/0.50 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2929107 completed with status 0
% 0.51/0.50 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.51/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.51/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.51/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.51/0.50 % No SInE strategy applied
% 0.51/0.50 % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.51/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.51/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.51/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.51/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.51/0.50 % Preprocessing time : 0.003 s
% 0.51/0.50 % Presaturation interreduction done
% 0.51/0.50
% 0.51/0.50 % Proof found!
% 0.51/0.50 % SZS status Unsatisfiable
% 0.51/0.50 % SZS output start CNFRefutation
% See solution above
% 0.51/0.50 % Parsed axioms : 369
% 0.51/0.50 % Removed by relevancy pruning/SinE : 0
% 0.51/0.50 % Initial clauses : 369
% 0.51/0.50 % Removed in clause preprocessing : 7
% 0.51/0.50 % Initial clauses in saturation : 362
% 0.51/0.50 % Processed clauses : 1550
% 0.51/0.50 % ...of these trivial : 73
% 0.51/0.50 % ...subsumed : 116
% 0.51/0.50 % ...remaining for further processing : 1361
% 0.51/0.50 % Other redundant clauses eliminated : 0
% 0.51/0.50 % Clauses deleted for lack of memory : 0
% 0.51/0.50 % Backward-subsumed : 115
% 0.51/0.50 % Backward-rewritten : 368
% 0.51/0.50 % Generated clauses : 2284
% 0.51/0.50 % ...of the previous two non-redundant : 1727
% 0.51/0.50 % ...aggressively subsumed : 0
% 0.51/0.50 % Contextual simplify-reflections : 3
% 0.51/0.50 % Paramodulations : 2284
% 0.51/0.50 % Factorizations : 0
% 0.51/0.50 % NegExts : 0
% 0.51/0.50 % Equation resolutions : 0
% 0.51/0.50 % Disequality decompositions : 0
% 0.51/0.50 % Total rewrite steps : 1514
% 0.51/0.50 % ...of those cached : 1095
% 0.51/0.50 % Propositional unsat checks : 0
% 0.51/0.50 % Propositional check models : 0
% 0.51/0.50 % Propositional check unsatisfiable : 0
% 0.51/0.50 % Propositional clauses : 0
% 0.51/0.50 % Propositional clauses after purity: 0
% 0.51/0.50 % Propositional unsat core size : 0
% 0.51/0.50 % Propositional preprocessing time : 0.000
% 0.51/0.50 % Propositional encoding time : 0.000
% 0.51/0.50 % Propositional solver time : 0.000
% 0.51/0.50 % Success case prop preproc time : 0.000
% 0.51/0.50 % Success case prop encoding time : 0.000
% 0.51/0.50 % Success case prop solver time : 0.000
% 0.51/0.50 % Current number of processed clauses : 550
% 0.51/0.50 % Positive orientable unit clauses : 242
% 0.51/0.50 % Positive unorientable unit clauses: 0
% 0.51/0.50 % Negative unit clauses : 2
% 0.51/0.50 % Non-unit-clauses : 306
% 0.51/0.50 % Current number of unprocessed clauses: 393
% 0.51/0.50 % ...number of literals in the above : 1228
% 0.51/0.50 % Current number of archived formulas : 0
% 0.51/0.50 % Current number of archived clauses : 811
% 0.51/0.50 % Clause-clause subsumption calls (NU) : 64947
% 0.51/0.50 % Rec. Clause-clause subsumption calls : 48748
% 0.51/0.50 % Non-unit clause-clause subsumptions : 214
% 0.51/0.50 % Unit Clause-clause subsumption calls : 5947
% 0.51/0.50 % Rewrite failures with RHS unbound : 0
% 0.51/0.50 % BW rewrite match attempts : 810
% 0.51/0.50 % BW rewrite match successes : 246
% 0.51/0.50 % Condensation attempts : 0
% 0.51/0.50 % Condensation successes : 0
% 0.51/0.50 % Termbank termtop insertions : 38907
% 0.51/0.50 % Search garbage collected termcells : 1461
% 0.51/0.50
% 0.51/0.50 % -------------------------------------------------
% 0.51/0.50 % User time : 0.073 s
% 0.51/0.50 % System time : 0.005 s
% 0.51/0.50 % Total time : 0.078 s
% 0.51/0.50 % Maximum resident set size: 4472 pages
% 0.51/0.50
% 0.51/0.50 % -------------------------------------------------
% 0.51/0.50 % User time : 0.273 s
% 0.51/0.50 % System time : 0.031 s
% 0.51/0.50 % Total time : 0.304 s
% 0.51/0.50 % Maximum resident set size: 5120 pages
% 0.51/0.50 % E exiting
%------------------------------------------------------------------------------