%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN156-1 : 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 : n031.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 05:36:18 PM UTC 2026
% Result : Unsatisfiable 1.43s 1.75s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 30
% Syntax : Number of clauses : 88 ( 40 unt; 0 nHn; 85 RR)
% Number of literals : 165 ( 0 equ; 81 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 83 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_090,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(rule_021,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
cnf(rule_088,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_088) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(rule_087,axiom,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_087) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
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_154,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_154) ).
cnf(rule_251,axiom,
( p3(X1,X2,X2)
| ~ m3(X2,X3,X4)
| ~ p2(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_251) ).
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(rule_274,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_274) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_240,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_281,axiom,
( n4(X1,X2)
| ~ p3(X1,X2,X2)
| ~ n4(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_281) ).
cnf(rule_284,axiom,
( n4(X1,X1)
| ~ k4(X2)
| ~ m3(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_284) ).
cnf(rule_003,axiom,
( l1(X1,X2)
| ~ p0(X3,X1)
| ~ r0(X4)
| ~ m0(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
cnf(axiom_27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
cnf(axiom_18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
cnf(prove_this,negated_conjecture,
~ n4(a,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_255,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(rule_186,axiom,
( q2(X1,X1,X2)
| ~ l1(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(c_0_30,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
rule_090 ).
cnf(c_0_31,axiom,
r0(e),
axiom_13 ).
cnf(c_0_32,axiom,
k0(e),
axiom_28 ).
cnf(c_0_33,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
rule_021 ).
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,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_37,plain,
p1(e,e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_38,plain,
( m1(X1,e,X1)
| ~ l0(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_39,axiom,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
rule_087 ).
cnf(c_0_40,axiom,
r0(b),
axiom_9 ).
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,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
rule_107 ).
cnf(c_0_43,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_44,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
rule_236 ).
cnf(c_0_45,plain,
n2(e),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
rule_176 ).
cnf(c_0_47,plain,
m1(a,e,a),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_48,plain,
p1(a,b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_49,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
rule_154 ).
cnf(c_0_50,plain,
q1(e,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_43])]) ).
cnf(c_0_51,axiom,
( p3(X1,X2,X2)
| ~ m3(X2,X3,X4)
| ~ p2(X1,X2,X4) ),
rule_251 ).
cnf(c_0_52,plain,
m3(e,e,e),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
rule_155 ).
cnf(c_0_54,plain,
p2(e,a,e),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_56,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_57,plain,
n2(a),
inference(spm,[status(thm)],[c_0_36,c_0_48]) ).
cnf(c_0_58,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
rule_274 ).
cnf(c_0_59,axiom,
n0(c,d),
axiom_34 ).
cnf(c_0_60,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
rule_240 ).
cnf(c_0_61,plain,
p2(e,e,e),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_62,axiom,
( n4(X1,X2)
| ~ p3(X1,X2,X2)
| ~ n4(X1,X1) ),
rule_281 ).
cnf(c_0_63,plain,
( p3(X1,e,e)
| ~ p2(X1,e,e) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_64,plain,
( p2(a,e,e)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_65,plain,
k1(c),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,axiom,
( n4(X1,X1)
| ~ k4(X2)
| ~ m3(X1,X1,X1) ),
rule_284 ).
cnf(c_0_67,plain,
m3(a,a,a),
inference(spm,[status(thm)],[c_0_44,c_0_57]) ).
cnf(c_0_68,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_69,plain,
n3(e),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,axiom,
( l1(X1,X2)
| ~ p0(X3,X1)
| ~ r0(X4)
| ~ m0(X2,X1,X3) ),
rule_003 ).
cnf(c_0_71,axiom,
m0(e,b,c),
axiom_27 ).
cnf(c_0_72,axiom,
p0(c,b),
axiom_18 ).
cnf(c_0_73,plain,
( n4(X1,e)
| ~ n4(X1,X1)
| ~ p2(X1,e,e) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_74,plain,
p2(a,e,e),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_75,negated_conjecture,
~ n4(a,e),
prove_this ).
cnf(c_0_76,plain,
( n4(a,a)
| ~ k4(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,plain,
( k4(c)
| ~ q3(e,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_78,axiom,
( q3(X1,X2)
| ~ q2(X3,X1,X2)
| ~ n0(X3,X1) ),
rule_255 ).
cnf(c_0_79,axiom,
( q2(X1,X1,X2)
| ~ l1(X2,X1) ),
rule_186 ).
cnf(c_0_80,plain,
( l1(b,e)
| ~ r0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_81,plain,
~ n4(a,a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_82,plain,
( n4(a,a)
| ~ q3(e,b) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( q3(X1,X2)
| ~ l1(X2,X1)
| ~ n0(X1,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,plain,
l1(b,e),
inference(spm,[status(thm)],[c_0_80,c_0_40]) ).
cnf(c_0_85,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_86,plain,
~ q3(e,b),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]),c_0_86]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN156-1 : 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
% 0.15/0.33 % Computer : n031.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % 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 08:18:24 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.43/1.75 % Version : CSE_E---1.7
% 1.43/1.75 % Problem : theBenchmark.p
% 1.43/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.75 % SZS output start CNFRefutation
% See solution above
% 1.43/1.75 % Total time : 1.374s
%------------------------------------------------------------------------------