%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN271-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 05:36:38 PM UTC 2026
% Result : Unsatisfiable 1.45s 1.76s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 34
% Syntax : Number of clauses : 103 ( 46 unt; 0 nHn; 79 RR)
% Number of literals : 195 ( 0 equ; 96 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 143 ( 51 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_088,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_082,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_082) ).
cnf(axiom_12,axiom,
m0(a,X1,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(rule_192,axiom,
( k3(X1,X2,X1)
| ~ s1(X2)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_192) ).
cnf(rule_159,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_159) ).
cnf(rule_145,axiom,
( p2(e,X1,X2)
| ~ r0(e)
| ~ p1(X1,X2,e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_145) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(rule_124,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(rule_117,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(rule_107,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_107) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_129,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(rule_235,axiom,
( m3(X1,X1,X2)
| ~ r2(X2)
| ~ k3(X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_235) ).
cnf(rule_188,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).
cnf(rule_155,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_155) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(rule_194,axiom,
( k3(X1,X1,X2)
| ~ k2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_194) ).
cnf(rule_288,axiom,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1)
| ~ p4(X3,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_288) ).
cnf(rule_287,axiom,
( p4(X1,X2,X1)
| ~ k3(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
cnf(rule_268,axiom,
( r3(X1,X1,X2)
| ~ m2(X2)
| ~ m3(X3,b,X1)
| ~ r3(X2,X4,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_268) ).
cnf(rule_267,axiom,
( r3(X1,X2,X1)
| ~ p2(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(prove_this,negated_conjecture,
~ p4(d,X1,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_002,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_135,axiom,
( m2(X1)
| ~ s0(X1)
| ~ l1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).
cnf(c_0_34,axiom,
( p1(a,a,a)
| ~ l0(a) ),
rule_088 ).
cnf(c_0_35,axiom,
l0(a),
axiom_20 ).
cnf(c_0_36,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_37,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_38,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_39,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_40,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
rule_082 ).
cnf(c_0_41,plain,
p1(a,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_42,axiom,
m0(a,X1,a),
axiom_12 ).
cnf(c_0_43,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
s1(b),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_46,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_47,plain,
p1(a,X1,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_48,axiom,
( k3(X1,X2,X1)
| ~ s1(X2)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
rule_192 ).
cnf(c_0_49,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
rule_159 ).
cnf(c_0_51,plain,
k1(a),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,axiom,
( p2(e,X1,X2)
| ~ r0(e)
| ~ p1(X1,X2,e) ),
rule_145 ).
cnf(c_0_53,axiom,
r0(e),
axiom_13 ).
cnf(c_0_54,plain,
p1(X1,X2,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_47]),c_0_42])]) ).
cnf(c_0_55,plain,
( k3(X1,X2,X1)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_56,plain,
p2(a,a,a),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
rule_124 ).
cnf(c_0_58,axiom,
s0(d),
axiom_1 ).
cnf(c_0_59,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
rule_117 ).
cnf(c_0_60,axiom,
k0(e),
axiom_28 ).
cnf(c_0_61,plain,
( p2(e,X1,X2)
| ~ p1(X1,X2,e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_62,plain,
( p1(X1,X2,X3)
| ~ m0(X3,X1,a) ),
inference(spm,[status(thm)],[c_0_40,c_0_54]) ).
cnf(c_0_63,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
rule_107 ).
cnf(c_0_64,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_65,plain,
( k3(X1,a,X1)
| ~ n0(X1,a) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,plain,
( r1(X1)
| ~ q1(d,X2,d)
| ~ q0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_67,plain,
q1(d,d,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_58]),c_0_60])]) ).
cnf(c_0_68,plain,
( p2(e,X1,X2)
| ~ m0(e,X1,a) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
rule_129 ).
cnf(c_0_70,plain,
q1(e,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_64])]) ).
cnf(c_0_71,axiom,
( m3(X1,X1,X2)
| ~ r2(X2)
| ~ k3(X1,X2,X1) ),
rule_235 ).
cnf(c_0_72,plain,
k3(b,a,b),
inference(spm,[status(thm)],[c_0_65,c_0_46]) ).
cnf(c_0_73,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
rule_188 ).
cnf(c_0_74,plain,
r1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_37])]) ).
cnf(c_0_75,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
rule_155 ).
cnf(c_0_76,plain,
p2(e,d,X1),
inference(spm,[status(thm)],[c_0_68,c_0_64]) ).
cnf(c_0_77,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_78,axiom,
( k3(X1,X1,X2)
| ~ k2(X2,X1) ),
rule_194 ).
cnf(c_0_79,plain,
k2(X1,X1),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,plain,
( m3(b,b,a)
| ~ r2(a) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,plain,
( r2(X1)
| ~ l0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]) ).
cnf(c_0_82,plain,
( p2(d,X1,X1)
| ~ k1(X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
k1(c),
inference(spm,[status(thm)],[c_0_45,c_0_77]) ).
cnf(c_0_84,axiom,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1)
| ~ p4(X3,X3,X4) ),
rule_288 ).
cnf(c_0_85,axiom,
( p4(X1,X2,X1)
| ~ k3(X1,X1,X2) ),
rule_287 ).
cnf(c_0_86,plain,
k3(X1,X1,X1),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,axiom,
( r3(X1,X1,X2)
| ~ m2(X2)
| ~ m3(X3,b,X1)
| ~ r3(X2,X4,X4) ),
rule_268 ).
cnf(c_0_88,plain,
m3(b,b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_35])]) ).
cnf(c_0_89,axiom,
( r3(X1,X2,X1)
| ~ p2(X1,X3,X2) ),
rule_267 ).
cnf(c_0_90,plain,
p2(d,X1,X1),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_91,negated_conjecture,
~ p4(d,X1,a),
prove_this ).
cnf(c_0_92,plain,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_93,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
rule_002 ).
cnf(c_0_94,axiom,
n0(c,d),
axiom_34 ).
cnf(c_0_95,plain,
( r3(a,a,X1)
| ~ r3(X1,X2,X2)
| ~ m2(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_96,plain,
r3(d,X1,d),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,negated_conjecture,
~ r3(a,a,d),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,axiom,
( m2(X1)
| ~ s0(X1)
| ~ l1(X2,X3) ),
rule_135 ).
cnf(c_0_99,plain,
l1(d,d),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,plain,
~ m2(d),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_101,plain,
( m2(X1)
| ~ s0(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN271-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n020.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:24:50 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.45/1.76 % Version : CSE_E---1.7
% 1.45/1.76 % Problem : theBenchmark.p
% 1.45/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.76 % SZS output start CNFRefutation
% See solution above
% 1.45/1.76 % Total time : 1.372s
%------------------------------------------------------------------------------