%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC395-1 : 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 : n018.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 05:19:29 PM UTC 2026
% Result : Unsatisfiable 129.55s 59.60s
% Output : CNFRefutation 129.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 62
% Syntax : Number of clauses : 348 ( 73 unt; 53 nHn; 301 RR)
% Number of literals : 1111 ( 348 equ; 753 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 438 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
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(clause169,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
cnf(clause52,axiom,
ssList(skaf43(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(clause53,axiom,
ssList(skaf42(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(clause138,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_8,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(clause104,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause101,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(clause47,axiom,
ssItem(skaf44(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause116,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(co1_10,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(co1_11,negated_conjecture,
( sk3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| tl(sk4) != X2
| app(X2,X3) != X1
| ~ ssItem(X4)
| cons(X4,nil) != X3
| hd(sk4) != X4
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(co1_7,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
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(clause102,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).
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(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause123,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
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(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
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(clause177,axiom,
( nil = X2
| X1 = X2
| nil = X1
| tl(X1) != tl(X2)
| hd(X1) != hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause177) ).
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(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause76,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
cnf(clause171,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
cnf(clause178,axiom,
( frontsegP(cons(X3,X1),cons(X4,X2))
| ~ frontsegP(X1,X2)
| X3 != X4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).
cnf(clause170,axiom,
( X1 = X3
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause170) ).
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(clause132,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause145,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).
cnf(clause83,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).
cnf(co1_9,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
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(clause139,axiom,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause139) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(clause131,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause58,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(clause158,axiom,
( memberP(X2,X3)
| memberP(X1,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).
cnf(clause144,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(clause143,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(c_0_62,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_63,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_62]) ).
cnf(c_0_64,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
clause169 ).
cnf(c_0_65,axiom,
ssList(skaf43(X1,X2)),
clause52 ).
cnf(c_0_66,axiom,
ssList(skaf42(X1,X2)),
clause53 ).
cnf(c_0_67,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause138 ).
cnf(c_0_68,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72 ).
cnf(c_0_69,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85 ).
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,
memberP(sk1,sk5),
co1_8 ).
cnf(c_0_73,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_74,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104 ).
cnf(c_0_75,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97 ).
cnf(c_0_76,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86 ).
cnf(c_0_77,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98 ).
cnf(c_0_78,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96 ).
cnf(c_0_79,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101 ).
cnf(c_0_80,axiom,
ssItem(skaf44(X1)),
clause47 ).
cnf(c_0_81,axiom,
ssList(nil),
clause8 ).
cnf(c_0_82,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116 ).
cnf(c_0_83,plain,
( ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ duplicatefreeP(app(X1,cons(X2,X3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_84,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109 ).
cnf(c_0_85,axiom,
ssItem(skaf83(X1)),
clause12 ).
cnf(c_0_86,axiom,
ssList(skaf82(X1)),
clause13 ).
cnf(c_0_87,plain,
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_88,plain,
( ssItem(X1)
| duplicatefreeP(app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_89,negated_conjecture,
ssList(sk4),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_90,negated_conjecture,
memberP(sk3,sk5),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_91,negated_conjecture,
( nil = sk3
| nil != sk4 ),
co1_10 ).
cnf(c_0_92,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99 ).
cnf(c_0_93,plain,
( cons(X1,tl(cons(X1,X2))) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_94,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_78,c_0_79]),c_0_80]),c_0_81])]) ).
cnf(c_0_95,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_96,negated_conjecture,
( sk3 = X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| tl(sk4) != X2
| app(X2,X3) != X1
| ~ ssItem(X4)
| cons(X4,nil) != X3
| hd(sk4) != X4
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
co1_11 ).
cnf(c_0_97,plain,
( nil = X1
| ~ memberP(X2,skaf83(X1))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ duplicatefreeP(app(X2,X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86])]),c_0_69]) ).
cnf(c_0_98,plain,
( nil = X1
| memberP(X1,skaf83(X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_84]),c_0_85]),c_0_86])]) ).
cnf(c_0_99,negated_conjecture,
( ssItem(X1)
| duplicatefreeP(app(sk4,X2))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_100,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71 ).
cnf(c_0_101,negated_conjecture,
( memberP(nil,sk5)
| sk4 != nil ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,negated_conjecture,
ssItem(sk5),
co1_7 ).
cnf(c_0_103,plain,
( tl(cons(X1,X2)) != cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(tl(cons(X1,X2)))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_104,plain,
( tl(cons(X1,nil)) = nil
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_105,negated_conjecture,
( sk3 = X1
| tl(sk4) != X2
| hd(sk4) != X4
| app(X2,X3) != X1
| cons(X4,nil) != X3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(cn,[status(thm)],[c_0_96]) ).
cnf(c_0_106,plain,
( nil = X1
| ~ ssList(X1)
| ~ duplicatefreeP(app(X1,X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
( ssItem(X1)
| duplicatefreeP(app(sk4,sk4)) ),
inference(spm,[status(thm)],[c_0_99,c_0_89]) ).
cnf(c_0_108,negated_conjecture,
sk4 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).
cnf(c_0_109,plain,
( cons(X1,nil) != nil
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_81])]) ).
cnf(c_0_110,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119 ).
cnf(c_0_111,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149 ).
cnf(c_0_112,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_105])])])]),c_0_69]) ).
cnf(c_0_113,negated_conjecture,
ssItem(X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_89])]),c_0_108]) ).
cnf(c_0_114,plain,
( cons(X1,nil) != nil
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_76]),c_0_81])]) ).
cnf(c_0_115,plain,
( nil = X1
| app(X2,app(X3,X1)) != nil
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_69]) ).
cnf(c_0_116,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]) ).
cnf(c_0_117,plain,
cons(X1,nil) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_113])]) ).
cnf(c_0_118,negated_conjecture,
( app(X1,sk3) != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_119,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_113])]) ).
cnf(c_0_120,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause102 ).
cnf(c_0_121,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133 ).
cnf(c_0_122,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118 ).
cnf(c_0_123,negated_conjecture,
( app(X1,sk3) != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_81])]) ).
cnf(c_0_124,plain,
( X1 = X2
| neq(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_113]),c_0_113])]) ).
cnf(c_0_125,plain,
( cons(hd(app(X1,X2)),app(tl(X1),X2)) = app(X1,X2)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_121]),c_0_69]),c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( app(X1,sk3) != nil
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_108]) ).
cnf(c_0_127,negated_conjecture,
( cons(hd(app(sk4,cons(hd(sk4),nil))),sk3) = app(sk4,cons(hd(sk4),nil))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_116]),c_0_89])]),c_0_108]) ).
cnf(c_0_128,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause123 ).
cnf(c_0_129,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74 ).
cnf(c_0_130,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_131,negated_conjecture,
( app(X1,sk3) != nil
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_124]),c_0_108]) ).
cnf(c_0_132,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75 ).
cnf(c_0_133,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120 ).
cnf(c_0_134,negated_conjecture,
( app(sk4,cons(hd(sk4),nil)) = cons(hd(sk4),sk3)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_89])]),c_0_108]) ).
cnf(c_0_135,plain,
( app(nil,app(X1,X2)) = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_129]),c_0_81])]) ).
cnf(c_0_136,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_113])]) ).
cnf(c_0_137,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_130,c_0_73]) ).
cnf(c_0_138,negated_conjecture,
( app(X1,sk3) != nil
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_139,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_113])]) ).
cnf(c_0_140,negated_conjecture,
( ssList(cons(hd(sk4),sk3))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_134]),c_0_89])]) ).
cnf(c_0_141,negated_conjecture,
( app(nil,sk3) = sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_135,c_0_116]) ).
cnf(c_0_142,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73 ).
cnf(c_0_143,negated_conjecture,
( tl(app(sk4,cons(hd(sk4),nil))) = sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_127]),c_0_137])]) ).
cnf(c_0_144,negated_conjecture,
( cons(X1,sk3) != nil
| ~ ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_137])]) ).
cnf(c_0_145,negated_conjecture,
( ssList(cons(hd(sk4),sk3))
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_124]),c_0_108]) ).
cnf(c_0_146,negated_conjecture,
( app(nil,sk3) = sk3
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_124]),c_0_108]) ).
cnf(c_0_147,plain,
( cons(hd(cons(X1,X2)),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_78]),c_0_76]),c_0_77]) ).
cnf(c_0_148,plain,
( app(tl(X1),nil) = tl(X1)
| nil = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_142]),c_0_81])]) ).
cnf(c_0_149,negated_conjecture,
( tl(cons(hd(sk4),sk3)) = sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_143,c_0_134]) ).
cnf(c_0_150,negated_conjecture,
cons(X1,sk3) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_119]),c_0_81])]) ).
cnf(c_0_151,negated_conjecture,
( ssList(cons(hd(sk4),sk3))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_124]),c_0_108]) ).
cnf(c_0_152,negated_conjecture,
( app(nil,sk3) = sk3
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_124]),c_0_108]) ).
cnf(c_0_153,plain,
( cons(hd(cons(X1,X2)),X2) = cons(X1,X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_113])]) ).
cnf(c_0_154,negated_conjecture,
( app(sk3,nil) = sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]),c_0_151]) ).
cnf(c_0_155,negated_conjecture,
( app(nil,sk3) = sk3
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_119]),c_0_81])]) ).
cnf(c_0_156,plain,
( cons(hd(cons(X1,nil)),X2) = app(cons(X1,nil),X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_153]),c_0_81])]) ).
cnf(c_0_157,negated_conjecture,
( app(sk3,nil) = sk3
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_124]),c_0_108]) ).
cnf(c_0_158,plain,
( ssList(app(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_111]),c_0_69]) ).
cnf(c_0_159,negated_conjecture,
app(nil,sk3) = sk3,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_160,plain,
( ssList(app(cons(X1,nil),X2))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_156]) ).
cnf(c_0_161,plain,
app(cons(X1,nil),nil) = cons(X1,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_156]),c_0_81])]) ).
cnf(c_0_162,negated_conjecture,
( app(sk3,nil) = sk3
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_124]),c_0_108]) ).
cnf(c_0_163,negated_conjecture,
( ssList(app(X1,sk3))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_137]),c_0_81])]) ).
cnf(c_0_164,plain,
( app(cons(X1,nil),app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(spm,[status(thm)],[c_0_111,c_0_139]) ).
cnf(c_0_165,plain,
ssList(cons(X1,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_81])]) ).
cnf(c_0_166,negated_conjecture,
( app(sk3,nil) = sk3
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_119]),c_0_81])]) ).
cnf(c_0_167,negated_conjecture,
( ssList(cons(X1,sk3))
| ~ ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_139]),c_0_137])]) ).
cnf(c_0_168,plain,
( cons(hd(cons(X1,nil)),nil) = cons(X1,nil)
| cons(X1,nil) = nil
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(spm,[status(thm)],[c_0_74,c_0_104]) ).
cnf(c_0_169,plain,
( app(cons(X1,nil),app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).
cnf(c_0_170,negated_conjecture,
app(sk3,nil) = sk3,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_171,negated_conjecture,
( ssList(cons(X1,sk3))
| ~ ssList(cons(hd(cons(X1,sk3)),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_153]),c_0_137])]) ).
cnf(c_0_172,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161 ).
cnf(c_0_173,plain,
( memberP(cons(X1,X2),X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_113])]) ).
cnf(c_0_174,plain,
( cons(hd(cons(X1,nil)),nil) = cons(X1,nil)
| ~ ssList(cons(X1,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_113])]),c_0_117]) ).
cnf(c_0_175,negated_conjecture,
app(cons(X1,sk3),nil) = app(cons(X1,nil),sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_137]),c_0_81])]) ).
cnf(c_0_176,negated_conjecture,
ssList(cons(X1,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_119]),c_0_81])]) ).
cnf(c_0_177,plain,
( tl(cons(X1,nil)) = nil
| ~ ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_113])]) ).
cnf(c_0_178,plain,
( X1 = X2
| memberP(X3,X2)
| ~ memberP(cons(X1,X3),X2)
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_113]),c_0_113])]) ).
cnf(c_0_179,plain,
( memberP(cons(X1,nil),hd(cons(X1,nil)))
| ~ ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_81])]) ).
cnf(c_0_180,plain,
~ memberP(nil,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_113])]) ).
cnf(c_0_181,negated_conjecture,
app(cons(X1,nil),sk3) = cons(X1,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_175]),c_0_176])]) ).
cnf(c_0_182,plain,
tl(cons(X1,nil)) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_165])]) ).
cnf(c_0_183,axiom,
( nil = X2
| X1 = X2
| nil = X1
| tl(X1) != tl(X2)
| hd(X1) != hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause177 ).
cnf(c_0_184,plain,
( hd(cons(X1,nil)) = X1
| ~ ssList(cons(X1,nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_81])]),c_0_180]) ).
cnf(c_0_185,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150 ).
cnf(c_0_186,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = tl(cons(hd(sk4),sk3))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_134]),c_0_89])]),c_0_108]) ).
cnf(c_0_187,negated_conjecture,
tl(cons(X1,sk3)) = sk3,
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_121,c_0_181]),c_0_182]),c_0_159]),c_0_165]),c_0_137])]),c_0_117]) ).
cnf(c_0_188,plain,
( X1 = cons(X2,nil)
| nil = X1
| hd(X1) != hd(cons(X2,nil))
| tl(X1) != nil
| ~ ssList(cons(X2,nil))
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_177]),c_0_117]) ).
cnf(c_0_189,plain,
hd(cons(X1,nil)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_165])]) ).
cnf(c_0_190,negated_conjecture,
( cons(hd(sk4),nil) = X1
| app(tl(sk4),X1) != sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_116]) ).
cnf(c_0_191,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_165])]),c_0_187]) ).
cnf(c_0_192,plain,
( cons(hd(X1),nil) = X1
| nil = X1
| tl(X1) != nil
| ~ ssList(X1) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_165])]),c_0_189])]) ).
cnf(c_0_193,negated_conjecture,
( cons(hd(sk4),nil) = X1
| app(tl(sk4),X1) != sk3
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_165])]) ).
cnf(c_0_194,negated_conjecture,
( app(tl(sk4),sk4) = sk3
| tl(sk4) != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_89])]),c_0_108]) ).
cnf(c_0_195,negated_conjecture,
( cons(hd(sk4),nil) = sk4
| tl(sk4) != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_89])]) ).
cnf(c_0_196,negated_conjecture,
( cons(hd(sk4),nil) = sk4
| tl(sk4) != nil
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_124]),c_0_108]) ).
cnf(c_0_197,negated_conjecture,
( cons(hd(sk4),nil) = nil
| sk3 != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_110,c_0_112]) ).
cnf(c_0_198,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100 ).
cnf(c_0_199,negated_conjecture,
( tl(sk4) = nil
| sk3 != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_122,c_0_112]) ).
cnf(c_0_200,negated_conjecture,
( cons(hd(sk4),nil) = sk4
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_124]),c_0_108]) ).
cnf(c_0_201,negated_conjecture,
( cons(hd(sk4),nil) = nil
| sk3 != nil
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_89]),c_0_81])]),c_0_108]) ).
cnf(c_0_202,negated_conjecture,
( tl(sk4) = nil
| sk3 != nil
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_198]),c_0_89]),c_0_81])]),c_0_108]) ).
cnf(c_0_203,negated_conjecture,
( cons(hd(sk4),sk3) = app(sk4,sk3)
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_181,c_0_200]) ).
cnf(c_0_204,negated_conjecture,
( cons(hd(sk4),nil) = nil
| sk3 != nil
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_198]),c_0_81]),c_0_89])]),c_0_108]) ).
cnf(c_0_205,negated_conjecture,
( tl(sk4) = nil
| sk3 != nil
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_198]),c_0_81]),c_0_89])]),c_0_108]) ).
cnf(c_0_206,negated_conjecture,
( tl(app(sk4,sk3)) = sk3
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_203]),c_0_137])]) ).
cnf(c_0_207,negated_conjecture,
( cons(hd(sk4),nil) = nil
| sk3 != nil
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_76]),c_0_81])]) ).
cnf(c_0_208,negated_conjecture,
( tl(sk4) = nil
| sk3 != nil
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_76]),c_0_81])]) ).
cnf(c_0_209,negated_conjecture,
( app(tl(sk4),sk3) = sk3
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_206]),c_0_89]),c_0_137])]),c_0_108]) ).
cnf(c_0_210,negated_conjecture,
( sk3 != nil
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_207]),c_0_81])]) ).
cnf(c_0_211,negated_conjecture,
( tl(sk4) = nil
| sk3 != nil
| ~ ssItem(hd(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_212,negated_conjecture,
( cons(hd(sk4),nil) = sk3
| tl(sk4) != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_209]),c_0_137])]) ).
cnf(c_0_213,negated_conjecture,
( sk3 != nil
| ~ ssItem(hd(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_81])]) ).
cnf(c_0_214,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76 ).
cnf(c_0_215,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171 ).
cnf(c_0_216,axiom,
( frontsegP(cons(X3,X1),cons(X4,X2))
| ~ frontsegP(X1,X2)
| X3 != X4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
clause178 ).
cnf(c_0_217,negated_conjecture,
( cons(hd(sk4),nil) = sk3
| tl(sk4) != nil
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_124]),c_0_108]) ).
cnf(c_0_218,negated_conjecture,
sk3 != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_89])]),c_0_108]) ).
cnf(c_0_219,plain,
( X1 = X2
| cons(X3,X1) != cons(X4,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_113]),c_0_113])]) ).
cnf(c_0_220,plain,
( cons(X1,X2) != nil
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_113])]) ).
cnf(c_0_221,plain,
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_216]) ).
cnf(c_0_222,negated_conjecture,
( cons(hd(sk4),nil) = sk3
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_124]),c_0_108]) ).
cnf(c_0_223,axiom,
( X1 = X3
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause170 ).
cnf(c_0_224,plain,
( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_128]),c_0_69]),c_0_122]) ).
cnf(c_0_225,plain,
( nil = X1
| ssList(app(tl(X1),X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_121]),c_0_69]),c_0_122]) ).
cnf(c_0_226,negated_conjecture,
app(tl(sk3),nil) = tl(sk3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_170]),c_0_137]),c_0_81])]),c_0_218]) ).
cnf(c_0_227,plain,
( skaf82(cons(X1,X2)) = X2
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_84]),c_0_86])])]),c_0_119]),c_0_220]) ).
cnf(c_0_228,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause140 ).
cnf(c_0_229,plain,
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_113])]) ).
cnf(c_0_230,negated_conjecture,
( tl(sk3) = nil
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_222]),c_0_81])]) ).
cnf(c_0_231,plain,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_113]),c_0_113])]) ).
cnf(c_0_232,negated_conjecture,
cons(hd(sk3),tl(sk3)) = sk3,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_170]),c_0_137]),c_0_81])]),c_0_218]) ).
cnf(c_0_233,negated_conjecture,
ssList(tl(sk3)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_137]),c_0_81])]),c_0_218]) ).
cnf(c_0_234,negated_conjecture,
( skaf82(sk4) = nil
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_200]),c_0_81])]) ).
cnf(c_0_235,negated_conjecture,
( sk3 = sk4
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_222]),c_0_89])]),c_0_108]) ).
cnf(c_0_236,plain,
( memberP(app(X1,X2),X3)
| ~ memberP(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_113])]) ).
cnf(c_0_237,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132 ).
cnf(c_0_238,axiom,
ssList(skaf45(X1,X2)),
clause51 ).
cnf(c_0_239,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
clause145 ).
cnf(c_0_240,plain,
( frontsegP(cons(X1,nil),cons(hd(cons(X1,nil)),X2))
| ~ frontsegP(nil,X2)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_174]),c_0_81])]) ).
cnf(c_0_241,negated_conjecture,
( tl(sk3) = nil
| tl(sk4) != nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_242,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause83 ).
cnf(c_0_243,negated_conjecture,
( X1 = hd(sk3)
| cons(X1,X2) != sk3
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233])]) ).
cnf(c_0_244,negated_conjecture,
( cons(skaf83(sk4),nil) = sk4
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_234]),c_0_89])]),c_0_108]) ).
cnf(c_0_245,negated_conjecture,
( sk3 = sk4
| tl(sk4) != nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_246,negated_conjecture,
~ memberP(sk2,sk5),
co1_9 ).
cnf(c_0_247,plain,
( memberP(X1,X2)
| ~ memberP(X3,X2)
| ~ frontsegP(X1,X3)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238])]) ).
cnf(c_0_248,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151 ).
cnf(c_0_249,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_239])]),c_0_81])]) ).
cnf(c_0_250,axiom,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
clause139 ).
cnf(c_0_251,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157 ).
cnf(c_0_252,plain,
( frontsegP(cons(X1,nil),cons(X1,X2))
| ~ frontsegP(nil,X2)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_165])]),c_0_189]) ).
cnf(c_0_253,negated_conjecture,
( cons(hd(sk3),nil) = sk3
| tl(sk4) != nil ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_241]),c_0_137])]),c_0_218]) ).
cnf(c_0_254,plain,
frontsegP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_242]),c_0_81])]) ).
cnf(c_0_255,negated_conjecture,
( skaf83(sk4) = hd(sk3)
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_81])]),c_0_245]) ).
cnf(c_0_256,negated_conjecture,
~ memberP(sk4,sk5),
inference(rw,[status(thm)],[c_0_246,c_0_71]) ).
cnf(c_0_257,negated_conjecture,
( memberP(X1,sk5)
| ~ frontsegP(X1,sk3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_90]),c_0_137])]) ).
cnf(c_0_258,plain,
( X1 = nil
| app(X1,nil) != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_81])]) ).
cnf(c_0_259,plain,
( memberP(cons(X1,X2),X3)
| ~ memberP(X2,X3)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_113]),c_0_113])]) ).
cnf(c_0_260,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_113])]) ).
cnf(c_0_261,negated_conjecture,
( frontsegP(cons(hd(sk3),nil),sk3)
| tl(sk4) != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]),c_0_81])]) ).
cnf(c_0_262,negated_conjecture,
( cons(hd(sk3),nil) = sk4
| tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_244,c_0_255]) ).
cnf(c_0_263,negated_conjecture,
~ frontsegP(sk4,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_89])]) ).
cnf(c_0_264,plain,
( app(X1,X2) = nil
| app(X1,app(X2,nil)) != nil
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_111]),c_0_81])]),c_0_69]) ).
cnf(c_0_265,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131 ).
cnf(c_0_266,axiom,
ssList(skaf46(X1,X2)),
clause50 ).
cnf(c_0_267,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
clause58 ).
cnf(c_0_268,plain,
( nil = X1
| memberP(X1,X2)
| ~ memberP(skaf82(X1),X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_84]),c_0_86])]) ).
cnf(c_0_269,plain,
( skaf82(X1) = tl(X1)
| nil = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_84]),c_0_85]),c_0_86])]) ).
cnf(c_0_270,plain,
( hd(cons(X1,app(X2,X3))) = hd(cons(X1,X2))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_260]),c_0_119]),c_0_220]) ).
cnf(c_0_271,negated_conjecture,
app(nil,tl(sk3)) = tl(sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_226]),c_0_81])]),c_0_233])]) ).
cnf(c_0_272,negated_conjecture,
( cons(hd(tl(sk4)),tl(sk3)) = sk3
| tl(sk4) = nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_224,c_0_116]) ).
cnf(c_0_273,negated_conjecture,
( tl(sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).
cnf(c_0_274,plain,
( app(X1,skaf46(X2,nil)) = nil
| app(X1,X2) != nil
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_81])]),c_0_267]) ).
cnf(c_0_275,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_111]),c_0_81])]),c_0_69]) ).
cnf(c_0_276,plain,
( nil = X1
| memberP(X1,X2)
| ~ memberP(tl(X1),X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_277,plain,
( nil = X1
| memberP(X1,hd(X1))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_74]),c_0_132]),c_0_214]) ).
cnf(c_0_278,negated_conjecture,
hd(cons(X1,tl(sk3))) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_189]),c_0_233]),c_0_81])]) ).
cnf(c_0_279,negated_conjecture,
( cons(hd(tl(sk4)),tl(sk3)) = sk3
| tl(sk4) = nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_165])]) ).
cnf(c_0_280,negated_conjecture,
tl(sk4) != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_281,plain,
( app(X1,X2) != nil
| ~ memberP(X1,X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_274]),c_0_266])]),c_0_180]) ).
cnf(c_0_282,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_135]),c_0_81])]) ).
cnf(c_0_283,plain,
( tl(X1) = nil
| nil = X1
| memberP(X1,hd(tl(X1)))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_132]) ).
cnf(c_0_284,negated_conjecture,
( hd(tl(sk4)) = hd(sk3)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]) ).
cnf(c_0_285,plain,
( app(nil,X1) != nil
| ~ memberP(X1,X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_81])]) ).
cnf(c_0_286,negated_conjecture,
( memberP(sk4,hd(sk3))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_89])]),c_0_280]),c_0_108]) ).
cnf(c_0_287,negated_conjecture,
( app(nil,sk4) != nil
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_89])]) ).
cnf(c_0_288,negated_conjecture,
( app(nil,sk4) != nil
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_124]),c_0_108]) ).
cnf(c_0_289,plain,
( hd(app(X1,app(X2,X3))) = hd(app(X1,X2))
| app(X1,X2) = nil
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_111]),c_0_69]) ).
cnf(c_0_290,negated_conjecture,
( app(nil,sk4) != nil
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_124]),c_0_108]) ).
cnf(c_0_291,plain,
( hd(app(X1,X2)) = hd(app(nil,X1))
| app(nil,X1) = nil
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_129]),c_0_81])]),c_0_69]) ).
cnf(c_0_292,negated_conjecture,
( app(sk4,cons(hd(sk4),nil)) = cons(hd(sk4),sk3)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_165])]) ).
cnf(c_0_293,negated_conjecture,
hd(cons(X1,sk3)) = X1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_181]),c_0_189]),c_0_165]),c_0_137])]),c_0_117]) ).
cnf(c_0_294,negated_conjecture,
app(nil,sk4) != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_295,negated_conjecture,
( hd(app(nil,sk4)) = hd(sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]),c_0_165]),c_0_89])]),c_0_294]) ).
cnf(c_0_296,axiom,
( memberP(X2,X3)
| memberP(X1,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
clause158 ).
cnf(c_0_297,negated_conjecture,
( hd(app(nil,sk4)) = hd(sk4)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_124]),c_0_108]) ).
cnf(c_0_298,plain,
( memberP(X1,X2)
| memberP(X3,X2)
| ~ memberP(app(X1,X3),X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_113])]) ).
cnf(c_0_299,plain,
( ssList(app(X1,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_249]),c_0_81])]) ).
cnf(c_0_300,negated_conjecture,
( hd(app(nil,sk4)) = hd(sk4)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_124]),c_0_108]) ).
cnf(c_0_301,plain,
( memberP(app(X1,nil),X2)
| memberP(X3,X2)
| ~ memberP(app(X3,X1),X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_275]),c_0_299]) ).
cnf(c_0_302,negated_conjecture,
( memberP(app(nil,sk4),hd(sk4))
| ~ ssList(app(nil,sk4))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_300]),c_0_294]) ).
cnf(c_0_303,negated_conjecture,
( memberP(app(sk4,nil),hd(sk4))
| ~ ssList(app(nil,sk4))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_81]),c_0_89])]),c_0_180]) ).
cnf(c_0_304,negated_conjecture,
( app(nil,app(sk4,nil)) != nil
| ~ ssList(app(sk4,nil))
| ~ ssList(app(nil,sk4))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_285,c_0_303]) ).
cnf(c_0_305,negated_conjecture,
( app(nil,app(sk4,nil)) != nil
| ~ ssList(app(sk4,nil))
| ~ ssList(app(nil,sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_306,negated_conjecture,
( app(sk4,nil) != nil
| ~ ssList(app(sk4,nil))
| ~ ssList(app(nil,sk4)) ),
inference(spm,[status(thm)],[c_0_305,c_0_129]) ).
cnf(c_0_307,negated_conjecture,
( app(sk4,nil) != nil
| ~ ssList(app(nil,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_69]),c_0_89]),c_0_81])]) ).
cnf(c_0_308,plain,
( hd(app(X1,X2)) = hd(app(X1,nil))
| app(X1,nil) = nil
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_129]),c_0_81])]) ).
cnf(c_0_309,negated_conjecture,
app(sk4,nil) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_129]),c_0_89])]) ).
cnf(c_0_310,negated_conjecture,
( hd(app(sk4,nil)) = hd(sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_292]),c_0_293]),c_0_165]),c_0_89])]),c_0_309]) ).
cnf(c_0_311,negated_conjecture,
( hd(app(sk4,nil)) = hd(sk4)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_124]),c_0_108]) ).
cnf(c_0_312,plain,
( cons(hd(app(X1,nil)),tl(X1)) = app(X1,nil)
| nil = X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_142]),c_0_81])]),c_0_132]) ).
cnf(c_0_313,negated_conjecture,
( hd(app(sk4,nil)) = hd(sk4)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_124]),c_0_108]) ).
cnf(c_0_314,negated_conjecture,
( cons(hd(sk4),tl(sk4)) = app(sk4,nil)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_89])]),c_0_108]) ).
cnf(c_0_315,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause144 ).
cnf(c_0_316,negated_conjecture,
( app(sk4,nil) = sk4
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_314]),c_0_89])]),c_0_108]) ).
cnf(c_0_317,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause143 ).
cnf(c_0_318,plain,
( app(tl(X1),skaf45(X2,X1)) = tl(X2)
| nil = X1
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_237]),c_0_238])]) ).
cnf(c_0_319,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_315]),c_0_69]) ).
cnf(c_0_320,negated_conjecture,
app(sk4,nil) = sk4,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_132]),c_0_89])]),c_0_108]) ).
cnf(c_0_321,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_317]),c_0_69]) ).
cnf(c_0_322,plain,
( nil = X1
| ssList(tl(X2))
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_318]),c_0_238])]),c_0_132]) ).
cnf(c_0_323,negated_conjecture,
frontsegP(sk4,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_81]),c_0_89])]) ).
cnf(c_0_324,plain,
( skaf46(app(X1,X2),X2) = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_265]),c_0_266])])]),c_0_69]),c_0_321]) ).
cnf(c_0_325,negated_conjecture,
( cons(hd(sk4),tl(sk4)) = sk4
| ~ ssList(tl(sk4)) ),
inference(rw,[status(thm)],[c_0_314,c_0_320]) ).
cnf(c_0_326,negated_conjecture,
ssList(tl(sk4)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_89])]),c_0_108]) ).
cnf(c_0_327,plain,
( rearsegP(cons(X1,X2),X2)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_321,c_0_139]) ).
cnf(c_0_328,negated_conjecture,
( app(tl(sk4),app(cons(hd(sk4),nil),X1)) = app(sk3,X1)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_116]) ).
cnf(c_0_329,plain,
( skaf46(cons(X1,X2),X2) = cons(X1,nil)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_139]),c_0_165])]) ).
cnf(c_0_330,negated_conjecture,
cons(hd(sk4),tl(sk4)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_326])]) ).
cnf(c_0_331,plain,
( rearsegP(cons(X1,X2),X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_165])]) ).
cnf(c_0_332,plain,
( frontsegP(app(X1,app(X2,X3)),app(X1,X2))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_111]),c_0_69]) ).
cnf(c_0_333,negated_conjecture,
( app(tl(sk4),app(cons(hd(sk4),nil),X1)) = app(sk3,X1)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_165])]) ).
cnf(c_0_334,negated_conjecture,
skaf46(sk4,tl(sk4)) = cons(hd(sk4),nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_326])]) ).
cnf(c_0_335,negated_conjecture,
rearsegP(sk4,tl(sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_330]),c_0_326])]) ).
cnf(c_0_336,negated_conjecture,
( frontsegP(app(sk3,app(nil,X1)),sk3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_170]),c_0_137]),c_0_81])]) ).
cnf(c_0_337,negated_conjecture,
( app(tl(sk4),app(cons(hd(sk4),nil),X1)) = app(sk3,X1)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_326])]) ).
cnf(c_0_338,negated_conjecture,
app(cons(hd(sk4),nil),tl(sk4)) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_334]),c_0_335]),c_0_326]),c_0_89])]) ).
cnf(c_0_339,negated_conjecture,
( frontsegP(app(sk3,app(X1,nil)),sk3)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_336,c_0_282]) ).
cnf(c_0_340,negated_conjecture,
app(tl(sk4),nil) = tl(sk4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_320]),c_0_89]),c_0_81])]),c_0_108]) ).
cnf(c_0_341,negated_conjecture,
( memberP(X1,sk5)
| memberP(X2,sk5)
| ~ frontsegP(app(X2,X1),sk3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_257]),c_0_69]) ).
cnf(c_0_342,negated_conjecture,
( app(tl(sk4),sk4) = app(sk3,tl(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_326])]) ).
cnf(c_0_343,negated_conjecture,
frontsegP(app(sk3,tl(sk4)),sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_326])]) ).
cnf(c_0_344,negated_conjecture,
( memberP(tl(sk4),sk5)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_343]),c_0_89]),c_0_326])]),c_0_256]) ).
cnf(c_0_345,negated_conjecture,
( ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_344]),c_0_89])]),c_0_108]),c_0_256]) ).
cnf(c_0_346,negated_conjecture,
~ neq(nil,sk4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_124]),c_0_108]) ).
cnf(c_0_347,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_124]),c_0_108]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC395-1 : 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
% 0.15/0.32 % Computer : n018.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
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 04:48:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 129.55/59.60 % Version : CSE_E---1.7
% 129.55/59.60 % Problem : theBenchmark.p
% 129.55/59.60 % SZS status Unsatisfiable for theBenchmark.p
% 129.55/59.60 % SZS output start CNFRefutation
% See solution above
% 129.85/60.02 % Total time : 45.732s
%------------------------------------------------------------------------------