%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC295-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n002.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 05:19:04 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.84s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 31
% Syntax : Number of clauses : 127 ( 32 unt; 19 nHn; 120 RR)
% Number of literals : 338 ( 111 equ; 204 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 122 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_10,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(co1_9,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_8,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(co1_7,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_12,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(co1_11,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(co1_21,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
cnf(co1_17,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(clause175,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(clause161,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(clause179,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(clause151,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(clause141,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause140,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
cnf(clause133,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
cnf(clause150,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_0_31,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
co1_10 ).
cnf(c_0_32,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_33,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119 ).
cnf(c_0_34,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
ssList(sk7),
co1_9 ).
cnf(c_0_36,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118 ).
cnf(c_0_37,negated_conjecture,
( sk7 = nil
| sk3 != nil
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_38,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_39,negated_conjecture,
ssList(sk6),
co1_8 ).
cnf(c_0_40,negated_conjecture,
( app(sk6,cons(sk5,nil)) = nil
| sk3 != nil
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_34]),c_0_35])]) ).
cnf(c_0_41,negated_conjecture,
( sk7 = nil
| sk3 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_42,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_43,negated_conjecture,
ssItem(sk5),
co1_7 ).
cnf(c_0_44,axiom,
ssList(nil),
clause8 ).
cnf(c_0_45,negated_conjecture,
( app(sk6,cons(sk5,nil)) = nil
| sk3 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_39])]) ).
cnf(c_0_46,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
co1_12 ).
cnf(c_0_47,negated_conjecture,
( sk7 = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_48,negated_conjecture,
( sk6 = nil
| sk3 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_45]),c_0_39])]) ).
cnf(c_0_49,negated_conjecture,
( memberP(nil,sk8)
| memberP(sk6,sk8)
| sk3 != nil ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( sk6 = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_51,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71 ).
cnf(c_0_52,negated_conjecture,
( memberP(nil,sk8)
| sk3 != nil ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
ssItem(sk8),
co1_11 ).
cnf(c_0_54,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_55,negated_conjecture,
( cons(sk9,nil) = sk3
| nil = sk3 ),
co1_21 ).
cnf(c_0_56,negated_conjecture,
sk3 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_57,negated_conjecture,
( ssItem(sk9)
| nil = sk3 ),
co1_17 ).
cnf(c_0_58,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175 ).
cnf(c_0_59,negated_conjecture,
( app(sk6,app(cons(sk5,nil),sk7)) = sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_54]),c_0_39]),c_0_35])]) ).
cnf(c_0_60,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_61,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_62,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161 ).
cnf(c_0_63,negated_conjecture,
cons(sk9,nil) = sk3,
inference(sr,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
ssItem(sk9),
inference(sr,[status(thm)],[c_0_57,c_0_56]) ).
cnf(c_0_65,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( app(sk6,cons(sk5,sk7)) = sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_43]),c_0_35])]) ).
cnf(c_0_67,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_68,negated_conjecture,
( sk9 = X1
| ~ memberP(sk3,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_44])]),c_0_51]) ).
cnf(c_0_69,negated_conjecture,
( memberP(sk3,sk5)
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_43]),c_0_67]),c_0_35]),c_0_39])]) ).
cnf(c_0_70,negated_conjecture,
( sk5 = sk9
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_43])]) ).
cnf(c_0_71,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
clause179 ).
cnf(c_0_72,negated_conjecture,
sk5 = sk9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_73,plain,
( ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X1,X3)),cons(X1,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ duplicatefreeP(app(app(X2,cons(X1,X3)),cons(X1,X4))) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_74,negated_conjecture,
app(sk6,cons(sk9,sk7)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_72]),c_0_72]),c_0_63]),c_0_67])]) ).
cnf(c_0_75,negated_conjecture,
( app(sk3,X1) = cons(sk9,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_64])]) ).
cnf(c_0_76,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151 ).
cnf(c_0_77,negated_conjecture,
( ~ ssList(app(sk3,cons(sk9,X1)))
| ~ ssList(X1)
| ~ duplicatefreeP(app(sk3,cons(sk9,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_64]),c_0_35]),c_0_39])]) ).
cnf(c_0_78,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72 ).
cnf(c_0_79,negated_conjecture,
( ssList(cons(sk9,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_75]),c_0_67])]) ).
cnf(c_0_80,negated_conjecture,
( X1 = sk3
| app(X1,X2) != cons(sk9,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_75]),c_0_67])]) ).
cnf(c_0_81,negated_conjecture,
( ~ ssList(app(sk3,sk3))
| ~ duplicatefreeP(app(sk3,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_63]),c_0_44])]) ).
cnf(c_0_82,negated_conjecture,
( ssItem(X1)
| duplicatefreeP(cons(sk9,X2))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| cons(sk9,sk7) != sk3
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_34]),c_0_35])]) ).
cnf(c_0_84,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
clause141 ).
cnf(c_0_85,negated_conjecture,
app(app(sk6,sk3),sk7) = sk3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_72]),c_0_63]) ).
cnf(c_0_86,negated_conjecture,
( ~ ssList(cons(sk9,sk3))
| ~ duplicatefreeP(cons(sk9,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_75]),c_0_67])]) ).
cnf(c_0_87,negated_conjecture,
( ssItem(X1)
| duplicatefreeP(cons(sk9,sk3)) ),
inference(spm,[status(thm)],[c_0_82,c_0_67]) ).
cnf(c_0_88,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| cons(sk9,sk7) != sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_38]),c_0_39])]) ).
cnf(c_0_89,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_90,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause140 ).
cnf(c_0_91,negated_conjecture,
( memberP(sk3,X1)
| ~ memberP(sk7,X1)
| ~ ssItem(X1)
| ~ ssList(app(sk6,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_35])]) ).
cnf(c_0_92,negated_conjecture,
( ssItem(X1)
| ~ ssList(cons(sk9,sk3)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133 ).
cnf(c_0_94,negated_conjecture,
( app(sk3,sk7) = sk3
| cons(sk9,sk7) != sk3
| ~ ssList(cons(sk5,nil)) ),
inference(spm,[status(thm)],[c_0_34,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
tl(sk3) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_63]),c_0_64]),c_0_44])]) ).
cnf(c_0_96,negated_conjecture,
( memberP(sk3,X1)
| ~ memberP(sk6,X1)
| ~ ssItem(X1)
| ~ ssList(cons(sk9,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_74]),c_0_39])]) ).
cnf(c_0_97,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk3,sk8)
| ~ ssList(app(sk6,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_46]),c_0_53])]) ).
cnf(c_0_98,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150 ).
cnf(c_0_99,negated_conjecture,
ssItem(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_42]),c_0_64]),c_0_67])]) ).
cnf(c_0_100,negated_conjecture,
( app(nil,sk7) = nil
| cons(sk9,sk7) != sk3
| ~ ssList(cons(sk5,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_95]),c_0_67]),c_0_35])]),c_0_56]) ).
cnf(c_0_101,negated_conjecture,
( memberP(sk3,sk8)
| ~ ssList(cons(sk9,sk7))
| ~ ssList(app(sk6,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_53])]) ).
cnf(c_0_102,negated_conjecture,
( X1 = sk7
| app(app(sk6,cons(sk5,nil)),X1) != sk3
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_34]),c_0_35])]) ).
cnf(c_0_103,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73 ).
cnf(c_0_104,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_99])]) ).
cnf(c_0_105,negated_conjecture,
( app(tl(sk6),cons(sk9,sk7)) = nil
| sk6 = nil
| ~ ssList(cons(sk9,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_74]),c_0_95]),c_0_39])]) ).
cnf(c_0_106,plain,
~ memberP(nil,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_99])]) ).
cnf(c_0_107,negated_conjecture,
( app(nil,sk7) = nil
| cons(sk9,sk7) != sk3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_72]),c_0_63]),c_0_67])]) ).
cnf(c_0_108,negated_conjecture,
( sk8 = sk9
| ~ ssList(cons(sk9,sk7))
| ~ ssList(app(sk6,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_101]),c_0_53])]) ).
cnf(c_0_109,negated_conjecture,
( sk7 = nil
| app(sk6,cons(sk5,nil)) != sk3
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_44])]) ).
cnf(c_0_110,negated_conjecture,
( sk6 = nil
| ~ ssList(cons(sk9,sk7))
| ~ ssList(tl(sk6)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_44]),c_0_35])]),c_0_106]) ).
cnf(c_0_111,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75 ).
cnf(c_0_112,negated_conjecture,
( cons(sk9,sk7) != sk3
| ~ memberP(sk7,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_107]),c_0_44]),c_0_35])]),c_0_51]) ).
cnf(c_0_113,negated_conjecture,
( sk8 = sk9
| ~ ssList(cons(sk9,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_38]),c_0_39]),c_0_67])]) ).
cnf(c_0_114,negated_conjecture,
( sk7 = nil
| app(sk6,cons(sk5,nil)) != sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_38]),c_0_39])]) ).
cnf(c_0_115,negated_conjecture,
( sk6 = nil
| ~ ssList(cons(sk9,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_39])]) ).
cnf(c_0_116,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_99])]) ).
cnf(c_0_117,negated_conjecture,
( memberP(sk6,sk8)
| cons(sk9,sk7) != sk3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_46]),c_0_53])]) ).
cnf(c_0_118,negated_conjecture,
sk8 = sk9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_42]),c_0_64]),c_0_35])]) ).
cnf(c_0_119,negated_conjecture,
( sk7 = nil
| app(sk6,sk3) != sk3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_72]),c_0_63]),c_0_72]),c_0_63]),c_0_67])]) ).
cnf(c_0_120,negated_conjecture,
sk6 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_35])]) ).
cnf(c_0_121,negated_conjecture,
( memberP(sk6,sk9)
| cons(sk9,sk7) != sk3 ),
inference(rw,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( sk7 = nil
| app(nil,sk3) != sk3 ),
inference(rw,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_124,negated_conjecture,
cons(sk9,sk7) != sk3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_120]),c_0_106]) ).
cnf(c_0_125,negated_conjecture,
sk7 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_67])]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125]),c_0_63])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC295-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n002.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 04:42:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.69/1.84 % Version : CSE_E---1.7
% 1.69/1.84 % Problem : theBenchmark.p
% 1.69/1.84 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.84 % SZS output start CNFRefutation
% See solution above
% 1.69/1.84 % Total time : 1.373s
%------------------------------------------------------------------------------