%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC197-1 : 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 : n005.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 05:18:41 PM UTC 2026
% Result : Unsatisfiable 6.46s 4.57s
% Output : CNFRefutation 6.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 46
% Syntax : Number of clauses : 159 ( 40 unt; 35 nHn; 153 RR)
% Number of literals : 468 ( 153 equ; 282 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 158 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_13,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk9),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(co1_11,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
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_12,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_10,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause101,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(clause47,axiom,
ssItem(skaf44(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(co1_9,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_15,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_8,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
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(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
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(clause104,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause171,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause171) ).
cnf(clause76,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
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(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(clause116,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(clause173,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(clause127,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
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(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause64,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause64) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(clause180,axiom,
( X2 = X3
| app(X1,cons(X2,cons(X3,X4))) != X5
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ equalelemsP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause180) ).
cnf(co1_14,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(clause152,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause152) ).
cnf(co1_7,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(clause80,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
cnf(clause79,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause79) ).
cnf(c_0_46,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk9),cons(sk6,nil)),sk8) = sk1,
co1_13 ).
cnf(c_0_47,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_48,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118 ).
cnf(c_0_49,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk9),cons(sk6,nil)),sk8) = sk3,
inference(rw,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
ssList(sk8),
co1_11 ).
cnf(c_0_51,negated_conjecture,
( app(app(app(sk7,cons(sk5,nil)),sk9),cons(sk6,nil)) = nil
| sk3 != nil
| ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk9),cons(sk6,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_52,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
cnf(c_0_53,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119 ).
cnf(c_0_54,negated_conjecture,
( app(app(app(sk7,cons(sk5,nil)),sk9),cons(sk6,nil)) = nil
| sk3 != nil
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk9))
| ~ ssList(cons(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( cons(sk6,nil) = nil
| sk3 != nil
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk9))
| ~ ssList(cons(sk6,nil)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
ssList(sk9),
co1_12 ).
cnf(c_0_57,negated_conjecture,
( cons(sk6,nil) = nil
| sk3 != nil
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_56])]) ).
cnf(c_0_58,negated_conjecture,
ssList(sk7),
co1_10 ).
cnf(c_0_59,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_60,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101 ).
cnf(c_0_61,axiom,
ssItem(skaf44(X1)),
clause47 ).
cnf(c_0_62,axiom,
ssList(nil),
clause8 ).
cnf(c_0_63,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_64,negated_conjecture,
( cons(sk6,nil) = nil
| sk3 != nil
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_58])]) ).
cnf(c_0_65,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_66,negated_conjecture,
ssItem(sk6),
co1_9 ).
cnf(c_0_67,plain,
( tl(X1) = nil
| ~ singletonP(X1)
| ~ ssList(X1) ),
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_62])]) ).
cnf(c_0_68,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
co1_15 ).
cnf(c_0_69,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_63,c_0_47]) ).
cnf(c_0_70,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_71,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_72,negated_conjecture,
( cons(sk6,nil) = nil
| sk3 != nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_62])]) ).
cnf(c_0_73,negated_conjecture,
ssItem(sk5),
co1_8 ).
cnf(c_0_74,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_75,negated_conjecture,
( tl(sk3) = nil
| ~ neq(sk4,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_76,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100 ).
cnf(c_0_77,negated_conjecture,
ssList(sk4),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99 ).
cnf(c_0_79,negated_conjecture,
( cons(sk6,nil) = nil
| sk3 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_65]),c_0_73]),c_0_62])]) ).
cnf(c_0_80,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175 ).
cnf(c_0_81,negated_conjecture,
( app(app(app(sk7,cons(sk5,nil)),sk9),app(cons(sk6,nil),sk8)) = sk3
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk9))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_74]),c_0_50])]) ).
cnf(c_0_82,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_83,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104 ).
cnf(c_0_84,negated_conjecture,
( tl(sk3) = nil
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_62])]) ).
cnf(c_0_85,negated_conjecture,
sk3 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_66]),c_0_62])]) ).
cnf(c_0_86,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_80]) ).
cnf(c_0_87,negated_conjecture,
( app(app(app(sk7,cons(sk5,nil)),sk9),cons(sk6,sk8)) = sk3
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk9))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_66]),c_0_50])]) ).
cnf(c_0_88,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171 ).
cnf(c_0_89,negated_conjecture,
( cons(hd(sk3),nil) = sk3
| sk4 = nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_69])]),c_0_85]) ).
cnf(c_0_90,negated_conjecture,
( memberP(sk3,sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),sk9))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_66]),c_0_69]),c_0_50])]) ).
cnf(c_0_91,negated_conjecture,
( sk4 = nil
| nil = X1
| cons(X2,X1) != sk3
| ~ ssItem(hd(sk3))
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_62])]) ).
cnf(c_0_92,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76 ).
cnf(c_0_93,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161 ).
cnf(c_0_94,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71 ).
cnf(c_0_95,negated_conjecture,
( memberP(sk3,sk6)
| ~ ssList(app(sk7,app(cons(sk5,nil),sk9)))
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_74]),c_0_58]),c_0_56])]) ).
cnf(c_0_96,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_74]),c_0_52]) ).
cnf(c_0_97,negated_conjecture,
( sk4 = nil
| nil = X1
| cons(X2,X1) != sk3
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_69])]),c_0_85]) ).
cnf(c_0_98,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109 ).
cnf(c_0_99,axiom,
ssItem(skaf83(X1)),
clause12 ).
cnf(c_0_100,axiom,
ssList(skaf82(X1)),
clause13 ).
cnf(c_0_101,plain,
( skaf44(X1) = X2
| ~ memberP(X1,X2)
| ~ singletonP(X1)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_60]),c_0_61]),c_0_62])]),c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( memberP(sk3,sk6)
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_56]),c_0_58])]) ).
cnf(c_0_103,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116 ).
cnf(c_0_104,negated_conjecture,
( skaf82(sk3) = nil
| sk4 = nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100])])]),c_0_69])]),c_0_85]) ).
cnf(c_0_105,negated_conjecture,
( skaf44(sk3) = sk6
| ~ singletonP(sk3)
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_66]),c_0_69])]) ).
cnf(c_0_106,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_107,negated_conjecture,
( cons(skaf83(sk3),nil) = sk3
| sk4 = nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_104]),c_0_69])]),c_0_85]) ).
cnf(c_0_108,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
clause173 ).
cnf(c_0_109,negated_conjecture,
( cons(sk6,nil) = sk3
| ~ singletonP(sk3)
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_105]),c_0_69])]) ).
cnf(c_0_110,negated_conjecture,
( sk4 = nil
| singletonP(sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_99]),c_0_69])]) ).
cnf(c_0_111,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_108]) ).
cnf(c_0_112,negated_conjecture,
( app(app(app(sk7,cons(sk5,nil)),app(sk9,cons(sk6,nil))),sk8) = sk3
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_74]),c_0_56])]) ).
cnf(c_0_113,negated_conjecture,
( cons(sk6,nil) = sk3
| sk4 = nil
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause127 ).
cnf(c_0_115,negated_conjecture,
( segmentP(sk3,app(sk9,cons(sk6,nil)))
| ~ ssList(app(sk9,cons(sk6,nil)))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_69]),c_0_50])]) ).
cnf(c_0_116,negated_conjecture,
( cons(sk6,nil) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_65]),c_0_66]),c_0_62])]) ).
cnf(c_0_117,negated_conjecture,
( app(sk9,cons(sk6,nil)) = sk3
| ~ segmentP(app(sk9,cons(sk6,nil)),sk3)
| ~ ssList(app(sk9,cons(sk6,nil)))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_69])]) ).
cnf(c_0_118,negated_conjecture,
( cons(sk6,nil) = sk3
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_65]),c_0_73]),c_0_62])]) ).
cnf(c_0_119,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73 ).
cnf(c_0_120,negated_conjecture,
( app(sk9,sk3) = sk3
| sk4 = nil
| ~ segmentP(app(sk9,sk3),sk3)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(app(sk9,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_69])]) ).
cnf(c_0_121,plain,
( segmentP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_119]),c_0_62])]),c_0_52]) ).
cnf(c_0_122,negated_conjecture,
( app(sk9,sk3) = sk3
| sk4 = nil
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(app(sk9,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_69]),c_0_56])]) ).
cnf(c_0_123,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151 ).
cnf(c_0_124,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_125,negated_conjecture,
( app(sk9,sk3) = sk3
| sk4 = nil
| ~ ssList(app(sk9,sk3))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_52]),c_0_58])]) ).
cnf(c_0_126,negated_conjecture,
( app(app(app(sk7,app(cons(sk5,nil),sk9)),cons(sk6,nil)),sk8) = sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_74]),c_0_58]),c_0_56])]) ).
cnf(c_0_127,plain,
( X1 = nil
| app(X1,X2) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_62])]) ).
cnf(c_0_128,negated_conjecture,
( app(sk9,sk3) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_52]),c_0_56]),c_0_69])]) ).
cnf(c_0_129,negated_conjecture,
( app(app(app(sk7,cons(sk5,sk9)),cons(sk6,nil)),sk8) = sk3
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_82]),c_0_73]),c_0_56])]) ).
cnf(c_0_130,negated_conjecture,
( sk4 = nil
| sk9 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_69]),c_0_56])]) ).
cnf(c_0_131,negated_conjecture,
( app(app(app(sk7,cons(sk5,sk9)),sk3),sk8) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(spm,[status(thm)],[c_0_129,c_0_118]) ).
cnf(c_0_132,negated_conjecture,
( sk9 = nil
| sk4 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_65]),c_0_73]),c_0_62])]) ).
cnf(c_0_133,negated_conjecture,
( app(app(app(sk7,cons(sk5,nil)),sk3),sk8) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_134,negated_conjecture,
( app(app(sk7,app(cons(sk5,nil),sk3)),sk8) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_74]),c_0_58]),c_0_69])]) ).
cnf(c_0_135,negated_conjecture,
( app(app(sk7,cons(sk5,sk3)),sk8) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_82]),c_0_73]),c_0_69])]) ).
cnf(c_0_136,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
clause64 ).
cnf(c_0_137,negated_conjecture,
( app(sk7,app(cons(sk5,sk3),sk8)) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,sk3))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_135]),c_0_58]),c_0_50])]) ).
cnf(c_0_138,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_139,plain,
( equalelemsP(X1)
| ~ singletonP(X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_60]),c_0_61])]) ).
cnf(c_0_140,axiom,
( X2 = X3
| app(X1,cons(X2,cons(X3,X4))) != X5
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ equalelemsP(X5)
| ~ ssList(X5) ),
clause180 ).
cnf(c_0_141,negated_conjecture,
( app(sk7,cons(sk5,app(sk3,sk8))) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,sk3))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_73]),c_0_50]),c_0_69])]) ).
cnf(c_0_142,negated_conjecture,
( app(sk3,X1) = cons(sk6,X1)
| sk4 = nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_118]),c_0_66])]) ).
cnf(c_0_143,negated_conjecture,
( equalelemsP(sk3)
| ~ neq(sk4,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_68]),c_0_69])]) ).
cnf(c_0_144,plain,
( X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X3,cons(X1,cons(X2,X4))))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ equalelemsP(app(X3,cons(X1,cons(X2,X4)))) ),
inference(er,[status(thm)],[c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( app(sk7,cons(sk5,cons(sk6,sk8))) = sk3
| sk4 = nil
| ~ ssList(cons(sk5,sk3))
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_50])]) ).
cnf(c_0_146,negated_conjecture,
sk5 != sk6,
co1_14 ).
cnf(c_0_147,negated_conjecture,
( sk4 = nil
| equalelemsP(sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_76]),c_0_77]),c_0_62])]) ).
cnf(c_0_148,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause152 ).
cnf(c_0_149,negated_conjecture,
segmentP(sk4,sk3),
co1_7 ).
cnf(c_0_150,negated_conjecture,
( sk4 = nil
| ~ ssList(cons(sk5,sk3))
| ~ ssList(cons(sk5,nil)) ),
inference(csr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_66]),c_0_73]),c_0_69]),c_0_50]),c_0_58])]),c_0_146]),c_0_147]) ).
cnf(c_0_151,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
clause80 ).
cnf(c_0_152,negated_conjecture,
( segmentP(X1,sk3)
| ~ segmentP(X1,sk4)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_69]),c_0_77])]) ).
cnf(c_0_153,negated_conjecture,
( sk4 = nil
| ~ ssList(cons(sk5,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_65]),c_0_73]),c_0_69])]) ).
cnf(c_0_154,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause79 ).
cnf(c_0_155,negated_conjecture,
~ segmentP(nil,sk4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_69]),c_0_62])]),c_0_85]) ).
cnf(c_0_156,negated_conjecture,
sk4 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_65]),c_0_73]),c_0_62])]) ).
cnf(c_0_157,plain,
segmentP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_154]),c_0_62])]) ).
cnf(c_0_158,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156]),c_0_157])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC197-1 : 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
% 0.15/0.33 % Computer : n005.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 04:32:45 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 6.46/4.57 % Version : CSE_E---1.7
% 6.46/4.57 % Problem : theBenchmark.p
% 6.46/4.57 % SZS status Unsatisfiable for theBenchmark.p
% 6.46/4.57 % SZS output start CNFRefutation
% See solution above
% 6.46/4.59 % Total time : 3.371s
%------------------------------------------------------------------------------