%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN269-1 : 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 : n013.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 05:36:37 PM UTC 2026
% Result : Unsatisfiable 1.47s 1.75s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 36
% Syntax : Number of clauses : 108 ( 44 unt; 0 nHn; 87 RR)
% Number of literals : 206 ( 0 equ; 101 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 148 ( 45 sgn)
% Comments :
%------------------------------------------------------------------------------
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_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(rule_159,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_159) ).
cnf(rule_100,axiom,
( q1(X1,X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_100) ).
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_165,axiom,
( p2(X1,X1,X1)
| ~ q1(X2,X3,X2)
| ~ p2(X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_165) ).
cnf(rule_085,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_124,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(rule_117,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(rule_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
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_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_236,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
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_129,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(rule_235,axiom,
( m3(X1,X1,X2)
| ~ r2(X2)
| ~ k3(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_235) ).
cnf(rule_188,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
cnf(rule_268,axiom,
( r3(X1,X1,X2)
| ~ m2(X2)
| ~ m3(X3,b,X1)
| ~ r3(X2,X4,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_268) ).
cnf(rule_267,axiom,
( r3(X1,X2,X1)
| ~ p2(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(rule_002,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(rule_194,axiom,
( k3(X1,X1,X2)
| ~ k2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_194) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_135,axiom,
( m2(X1)
| ~ s0(X1)
| ~ l1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_135) ).
cnf(axiom_15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
cnf(rule_288,axiom,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1)
| ~ p4(X3,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).
cnf(rule_287,axiom,
( p4(X1,X2,X1)
| ~ k3(X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
cnf(rule_136,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
cnf(prove_this,negated_conjecture,
~ p4(b,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
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,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_41,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_42,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
s1(b),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,axiom,
( p2(X1,X1,X1)
| ~ k1(X1) ),
rule_159 ).
cnf(c_0_45,plain,
k1(a),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,axiom,
( q1(X1,X1,X1)
| ~ n0(X2,X1) ),
rule_100 ).
cnf(c_0_47,axiom,
( k3(X1,X2,X1)
| ~ s1(X2)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
rule_192 ).
cnf(c_0_48,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,axiom,
( p2(X1,X1,X1)
| ~ q1(X2,X3,X2)
| ~ p2(X2,X2,X3) ),
rule_165 ).
cnf(c_0_50,plain,
p2(a,a,a),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
q1(a,a,a),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_52,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
rule_085 ).
cnf(c_0_53,plain,
( k3(X1,X2,X1)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_54,plain,
p2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_55,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
rule_124 ).
cnf(c_0_56,axiom,
s0(d),
axiom_1 ).
cnf(c_0_57,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
rule_117 ).
cnf(c_0_58,axiom,
k0(e),
axiom_28 ).
cnf(c_0_59,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_60,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_52,c_0_39]) ).
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,
( 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,X2,X1)
| ~ n0(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_66,plain,
( r1(X1)
| ~ q1(d,X2,d)
| ~ q0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).
cnf(c_0_67,plain,
q1(d,d,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_56]),c_0_58])]) ).
cnf(c_0_68,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
rule_236 ).
cnf(c_0_69,plain,
n2(X1),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_70,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
rule_176 ).
cnf(c_0_71,plain,
m1(b,X1,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_39]),c_0_62])]) ).
cnf(c_0_72,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
rule_129 ).
cnf(c_0_73,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_74,axiom,
( m3(X1,X1,X2)
| ~ r2(X2)
| ~ k3(X1,X2,X1) ),
rule_235 ).
cnf(c_0_75,plain,
k3(b,a,b),
inference(spm,[status(thm)],[c_0_65,c_0_41]) ).
cnf(c_0_76,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
rule_188 ).
cnf(c_0_77,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_78,axiom,
( r3(X1,X1,X2)
| ~ m2(X2)
| ~ m3(X3,b,X1)
| ~ r3(X2,X4,X4) ),
rule_268 ).
cnf(c_0_79,plain,
m3(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_80,axiom,
( r3(X1,X2,X1)
| ~ p2(X1,X3,X2) ),
rule_267 ).
cnf(c_0_81,plain,
p2(X1,b,X1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
rule_002 ).
cnf(c_0_83,axiom,
( k3(X1,X1,X2)
| ~ k2(X2,X1) ),
rule_194 ).
cnf(c_0_84,plain,
k2(X1,X1),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_85,plain,
( m3(b,b,a)
| ~ r2(a) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_86,plain,
( r2(X1)
| ~ l0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).
cnf(c_0_87,axiom,
l0(a),
axiom_20 ).
cnf(c_0_88,plain,
( r3(b,b,X1)
| ~ r3(X1,X2,X2)
| ~ m2(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_89,plain,
r3(X1,X1,X1),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,axiom,
( m2(X1)
| ~ s0(X1)
| ~ l1(X2,X3) ),
rule_135 ).
cnf(c_0_91,plain,
l1(a,a),
inference(spm,[status(thm)],[c_0_82,c_0_41]) ).
cnf(c_0_92,axiom,
n0(a,b),
axiom_15 ).
cnf(c_0_93,axiom,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1)
| ~ p4(X3,X3,X4) ),
rule_288 ).
cnf(c_0_94,axiom,
( p4(X1,X2,X1)
| ~ k3(X1,X1,X2) ),
rule_287 ).
cnf(c_0_95,plain,
k3(X1,X1,X1),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_96,plain,
m3(b,b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
cnf(c_0_97,plain,
( r3(b,b,X1)
| ~ m2(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_98,plain,
( m2(X1)
| ~ s0(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_99,axiom,
( m2(b)
| ~ k1(b) ),
rule_136 ).
cnf(c_0_100,plain,
k1(b),
inference(spm,[status(thm)],[c_0_40,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
~ p4(b,a,a),
prove_this ).
cnf(c_0_102,plain,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
cnf(c_0_103,plain,
( r3(a,a,X1)
| ~ r3(X1,X2,X2)
| ~ m2(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_96]) ).
cnf(c_0_104,plain,
( r3(b,b,X1)
| ~ s0(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,plain,
m2(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_106,negated_conjecture,
~ r3(a,a,b),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_62])]),c_0_106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN269-1 : 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
% 0.15/0.32 % Computer : n013.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:24:26 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.47/1.75 % Version : CSE_E---1.7
% 1.47/1.75 % Problem : theBenchmark.p
% 1.47/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.47/1.75 % SZS output start CNFRefutation
% See solution above
% 1.47/1.75 % Total time : 1.371s
%------------------------------------------------------------------------------