%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN129-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:36:13 PM UTC 2026
% Result : Unsatisfiable 1.48s 1.76s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 36
% Syntax : Number of clauses : 113 ( 53 unt; 0 nHn; 92 RR)
% Number of literals : 212 ( 0 equ; 101 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 149 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_021,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(axiom_24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_176,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(rule_007,axiom,
( m1(X1,X2,X1)
| ~ p0(X3,X2)
| ~ r0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_007) ).
cnf(rule_155,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(rule_107,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_107) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_192,axiom,
( k3(X1,X2,X1)
| ~ s1(X2)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_192) ).
cnf(rule_029,axiom,
( m1(X1,X2,X1)
| ~ p0(X1,X2)
| ~ s0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_029) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(rule_127,axiom,
( k2(X1,X2)
| ~ m1(X3,X2,X1)
| ~ k1(X4)
| ~ k2(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
cnf(rule_129,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(rule_005,axiom,
( m1(X1,X2,X1)
| ~ m0(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_005) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(axiom_3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
cnf(axiom_11,axiom,
n0(e,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_090,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).
cnf(rule_202,axiom,
( k3(X1,X1,X2)
| ~ q0(X3,X2)
| ~ k2(X1,X4)
| ~ k3(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_202) ).
cnf(rule_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(rule_234,axiom,
( m3(X1,e,e)
| ~ n2(e)
| ~ p2(X1,e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_234) ).
cnf(rule_154,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).
cnf(rule_085,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_295,axiom,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1)
| ~ m3(X4,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).
cnf(rule_181,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(axiom_21,axiom,
q0(b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_21) ).
cnf(rule_302,axiom,
( l5(X1)
| ~ q4(X2,X2)
| ~ k1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_302) ).
cnf(prove_this,negated_conjecture,
~ l5(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_36,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
rule_021 ).
cnf(c_0_37,axiom,
k0(e),
axiom_28 ).
cnf(c_0_38,plain,
( m1(X1,e,X1)
| ~ l0(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,axiom,
l0(c),
axiom_24 ).
cnf(c_0_40,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_41,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_42,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_43,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_44,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
rule_176 ).
cnf(c_0_45,plain,
m1(c,e,c),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,axiom,
( m1(X1,X2,X1)
| ~ p0(X3,X2)
| ~ r0(X1) ),
rule_007 ).
cnf(c_0_47,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
s1(b),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
rule_155 ).
cnf(c_0_50,plain,
p2(e,c,e),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_52,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_53,plain,
( m1(X1,X2,X1)
| ~ r0(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
cnf(c_0_54,axiom,
r0(e),
axiom_13 ).
cnf(c_0_55,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
rule_107 ).
cnf(c_0_56,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_57,axiom,
( k3(X1,X2,X1)
| ~ s1(X2)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
rule_192 ).
cnf(c_0_58,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,plain,
( p2(c,e,e)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,plain,
k1(c),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,axiom,
( m1(X1,X2,X1)
| ~ p0(X1,X2)
| ~ s0(X1) ),
rule_029 ).
cnf(c_0_62,axiom,
s0(b),
axiom_5 ).
cnf(c_0_63,axiom,
( k2(X1,X2)
| ~ m1(X3,X2,X1)
| ~ k1(X4)
| ~ k2(X4,X2) ),
rule_127 ).
cnf(c_0_64,plain,
m1(e,X1,e),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
rule_129 ).
cnf(c_0_66,plain,
q1(e,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56]),c_0_56])]) ).
cnf(c_0_67,plain,
( k3(X1,X2,X1)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_68,plain,
p2(c,e,e),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,axiom,
( m1(X1,X2,X1)
| ~ m0(X2,X2,X1) ),
rule_005 ).
cnf(c_0_70,plain,
m1(b,X1,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_43]),c_0_62])]) ).
cnf(c_0_71,plain,
( k2(e,X1)
| ~ k2(X2,X1)
| ~ k1(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,plain,
k2(X1,X1),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_74,plain,
( k3(X1,e,X1)
| ~ n0(X1,e) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_75,axiom,
n0(d,e),
axiom_3 ).
cnf(c_0_76,plain,
m1(X1,d,X1),
inference(spm,[status(thm)],[c_0_69,c_0_56]) ).
cnf(c_0_77,plain,
( k2(b,X1)
| ~ k2(X2,X1)
| ~ k1(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_70]) ).
cnf(c_0_78,plain,
( k2(e,X1)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,plain,
k1(e),
inference(spm,[status(thm)],[c_0_51,c_0_73]) ).
cnf(c_0_80,axiom,
n0(e,b),
axiom_11 ).
cnf(c_0_81,axiom,
n0(c,d),
axiom_34 ).
cnf(c_0_82,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
rule_090 ).
cnf(c_0_83,axiom,
( k3(X1,X1,X2)
| ~ q0(X3,X2)
| ~ k2(X1,X4)
| ~ k3(X2,X5,X4) ),
rule_202 ).
cnf(c_0_84,plain,
k3(d,e,d),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,plain,
( k2(X1,d)
| ~ k2(X2,d)
| ~ k1(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_76]) ).
cnf(c_0_86,plain,
( k2(b,X1)
| ~ k1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_87,plain,
k1(b),
inference(spm,[status(thm)],[c_0_51,c_0_80]) ).
cnf(c_0_88,plain,
k1(d),
inference(spm,[status(thm)],[c_0_51,c_0_81]) ).
cnf(c_0_89,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_90,plain,
p1(e,e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_54]),c_0_37])]) ).
cnf(c_0_91,plain,
( k3(X1,X1,d)
| ~ k2(X1,d) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_41])]) ).
cnf(c_0_92,plain,
k2(X1,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88])]) ).
cnf(c_0_93,axiom,
( m3(X1,e,e)
| ~ n2(e)
| ~ p2(X1,e,e) ),
rule_234 ).
cnf(c_0_94,plain,
n2(e),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
rule_154 ).
cnf(c_0_96,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
rule_085 ).
cnf(c_0_97,plain,
k3(X1,X1,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_98,axiom,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1)
| ~ m3(X4,X5,X4) ),
rule_295 ).
cnf(c_0_99,plain,
( m3(X1,e,e)
| ~ p2(X1,e,e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_100,plain,
p2(e,e,e),
inference(spm,[status(thm)],[c_0_95,c_0_66]) ).
cnf(c_0_101,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
rule_181 ).
cnf(c_0_102,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_96,c_0_43]) ).
cnf(c_0_103,plain,
( k3(X1,X1,X2)
| ~ q0(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_97]),c_0_92])]) ).
cnf(c_0_104,axiom,
q0(b,e),
axiom_21 ).
cnf(c_0_105,plain,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(e,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).
cnf(c_0_106,plain,
q2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]) ).
cnf(c_0_107,plain,
k3(X1,X1,e),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,axiom,
( l5(X1)
| ~ q4(X2,X2)
| ~ k1(X1) ),
rule_302 ).
cnf(c_0_109,plain,
q4(e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).
cnf(c_0_110,negated_conjecture,
~ l5(e),
prove_this ).
cnf(c_0_111,plain,
( l5(X1)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN129-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n021.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 08:16:10 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.48/1.76 % Version : CSE_E---1.7
% 1.48/1.76 % Problem : theBenchmark.p
% 1.48/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.48/1.76 % SZS output start CNFRefutation
% See solution above
% 1.48/1.76 % Total time : 1.375s
%------------------------------------------------------------------------------