%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC187-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n026.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 05:18:39 PM UTC 2026
% Result : Unsatisfiable 1.53s 1.77s
% Output : CNFRefutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 29
% Syntax : Number of clauses : 116 ( 28 unt; 20 nHn; 109 RR)
% Number of literals : 307 ( 108 equ; 183 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 114 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_10,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(co1_9,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_8,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(co1_7,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_11,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(co1_16,negated_conjecture,
( cons(sk8,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_13,negated_conjecture,
( ssItem(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(clause175,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(clause151,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause150,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(clause133,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause133) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause141,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(c_0_29,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
co1_10 ).
cnf(c_0_30,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_31,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119 ).
cnf(c_0_32,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
ssList(sk7),
co1_9 ).
cnf(c_0_34,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118 ).
cnf(c_0_35,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_31,c_0_32]),c_0_33])]) ).
cnf(c_0_36,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_37,negated_conjecture,
ssList(sk6),
co1_8 ).
cnf(c_0_38,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_34,c_0_32]),c_0_33])]) ).
cnf(c_0_39,negated_conjecture,
( sk7 = nil
| sk3 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_40,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_41,negated_conjecture,
ssItem(sk5),
co1_7 ).
cnf(c_0_42,axiom,
ssList(nil),
clause8 ).
cnf(c_0_43,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_38,c_0_36]),c_0_37])]) ).
cnf(c_0_44,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
co1_11 ).
cnf(c_0_45,negated_conjecture,
( sk7 = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_46,negated_conjecture,
( sk6 = nil
| sk3 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_43]),c_0_37])]) ).
cnf(c_0_47,negated_conjecture,
( memberP(nil,sk5)
| memberP(sk6,sk5)
| sk3 != nil ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( sk6 = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_49,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71 ).
cnf(c_0_50,negated_conjecture,
( memberP(nil,sk5)
| sk3 != nil ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_52,negated_conjecture,
( cons(sk8,nil) = sk3
| nil = sk3 ),
co1_16 ).
cnf(c_0_53,negated_conjecture,
sk3 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_41])]) ).
cnf(c_0_54,negated_conjecture,
( ssItem(sk8)
| nil = sk3 ),
co1_13 ).
cnf(c_0_55,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175 ).
cnf(c_0_56,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_32,c_0_51]),c_0_37]),c_0_33])]) ).
cnf(c_0_57,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_58,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_59,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161 ).
cnf(c_0_60,negated_conjecture,
cons(sk8,nil) = sk3,
inference(sr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
ssItem(sk8),
inference(sr,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_62,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_55]) ).
cnf(c_0_63,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_56,c_0_57]),c_0_41]),c_0_33])]) ).
cnf(c_0_64,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_58,c_0_30]) ).
cnf(c_0_65,negated_conjecture,
( sk8 = 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_59,c_0_60]),c_0_61]),c_0_42])]),c_0_49]) ).
cnf(c_0_66,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_62,c_0_63]),c_0_41]),c_0_64]),c_0_33]),c_0_37])]) ).
cnf(c_0_67,negated_conjecture,
( sk5 = sk8
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_41])]) ).
cnf(c_0_68,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_69,negated_conjecture,
sk5 = sk8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_70,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_68]) ).
cnf(c_0_71,negated_conjecture,
app(sk6,cons(sk8,sk7)) = sk3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_69]),c_0_69]),c_0_60]),c_0_64])]) ).
cnf(c_0_72,negated_conjecture,
( app(sk3,X1) = cons(sk8,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_60]),c_0_61])]) ).
cnf(c_0_73,negated_conjecture,
( ~ ssList(app(sk3,cons(sk8,X1)))
| ~ ssList(X1)
| ~ duplicatefreeP(app(sk3,cons(sk8,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_61]),c_0_33]),c_0_37])]) ).
cnf(c_0_74,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72 ).
cnf(c_0_75,negated_conjecture,
( ssList(cons(sk8,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_72]),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,sk3))
| ~ duplicatefreeP(app(sk3,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_60]),c_0_42])]) ).
cnf(c_0_78,negated_conjecture,
( ssItem(X1)
| duplicatefreeP(cons(sk8,X2))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,negated_conjecture,
( X1 = sk3
| app(X1,X2) != cons(sk8,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_72]),c_0_64])]) ).
cnf(c_0_80,negated_conjecture,
( ~ ssList(cons(sk8,sk3))
| ~ duplicatefreeP(cons(sk8,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_72]),c_0_64])]) ).
cnf(c_0_81,negated_conjecture,
( ssItem(X1)
| duplicatefreeP(cons(sk8,sk3)) ),
inference(spm,[status(thm)],[c_0_78,c_0_64]) ).
cnf(c_0_82,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_83,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| cons(sk8,sk7) != sk3
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_32]),c_0_33])]) ).
cnf(c_0_84,negated_conjecture,
( ssItem(X1)
| ~ ssList(cons(sk8,sk3)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( tl(sk3) = nil
| sk3 = nil ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_52]),c_0_42])]),c_0_54]) ).
cnf(c_0_86,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| cons(sk8,sk7) != sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_36]),c_0_37])]) ).
cnf(c_0_87,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150 ).
cnf(c_0_88,negated_conjecture,
ssItem(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_40]),c_0_61]),c_0_64])]) ).
cnf(c_0_89,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133 ).
cnf(c_0_90,negated_conjecture,
tl(sk3) = nil,
inference(sr,[status(thm)],[c_0_85,c_0_53]) ).
cnf(c_0_91,negated_conjecture,
( app(sk3,sk7) = sk3
| cons(sk8,sk7) != sk3
| ~ ssList(cons(sk5,nil)) ),
inference(spm,[status(thm)],[c_0_32,c_0_86]) ).
cnf(c_0_92,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_87,c_0_32]),c_0_33])]) ).
cnf(c_0_93,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73 ).
cnf(c_0_94,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_62,c_0_88])]) ).
cnf(c_0_95,negated_conjecture,
( app(tl(sk6),cons(sk8,sk7)) = nil
| sk6 = nil
| ~ ssList(cons(sk8,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_71]),c_0_90]),c_0_37])]) ).
cnf(c_0_96,plain,
~ memberP(nil,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_88])]) ).
cnf(c_0_97,negated_conjecture,
( app(nil,sk7) = nil
| cons(sk8,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_89,c_0_91]),c_0_90]),c_0_90]),c_0_64]),c_0_33])]),c_0_53]) ).
cnf(c_0_98,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_92,c_0_93]),c_0_42])]) ).
cnf(c_0_99,negated_conjecture,
( sk6 = nil
| ~ ssList(cons(sk8,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_94,c_0_95]),c_0_42]),c_0_33])]),c_0_96]) ).
cnf(c_0_100,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75 ).
cnf(c_0_101,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
clause141 ).
cnf(c_0_102,negated_conjecture,
( app(nil,sk7) = nil
| cons(sk8,sk7) != sk3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_69]),c_0_60]),c_0_64])]) ).
cnf(c_0_103,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_98,c_0_36]),c_0_37])]) ).
cnf(c_0_104,negated_conjecture,
( sk6 = nil
| ~ ssList(cons(sk8,sk7)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_37])]) ).
cnf(c_0_105,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_88])]) ).
cnf(c_0_106,negated_conjecture,
( cons(sk8,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_101,c_0_102]),c_0_42]),c_0_33])]),c_0_49]) ).
cnf(c_0_107,negated_conjecture,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_69]),c_0_69]) ).
cnf(c_0_108,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_103,c_0_69]),c_0_60]),c_0_69]),c_0_60]),c_0_64])]) ).
cnf(c_0_109,negated_conjecture,
sk6 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_33])]) ).
cnf(c_0_110,negated_conjecture,
( memberP(sk6,sk8)
| cons(sk8,sk7) != sk3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_61])]) ).
cnf(c_0_111,negated_conjecture,
( sk7 = nil
| app(nil,sk3) != sk3 ),
inference(rw,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_113,negated_conjecture,
cons(sk8,sk7) != sk3,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_109]),c_0_96]) ).
cnf(c_0_114,negated_conjecture,
sk7 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_64])]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC187-1 : TPTP v9.2.1. Released v2.4.0.
% 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
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:32:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.53/1.77 % Version : CSE_E---1.7
% 1.53/1.77 % Problem : theBenchmark.p
% 1.53/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 1.53/1.77 % SZS output start CNFRefutation
% See solution above
% 1.53/1.77 % Total time : 1.370s
%------------------------------------------------------------------------------