%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC072-1 : 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 : n019.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 05:18:09 PM UTC 2026
% Result : Unsatisfiable 201.62s 119.52s
% Output : CNFRefutation 211.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 234
% Syntax : Number of clauses : 776 ( 362 unt; 87 nHn; 486 RR)
% Number of literals : 2014 ( 399 equ;1212 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 1161 ( 201 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_10,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_10) ).
cnf(clause185,axiom,
( ~ leq(X1,X2)
| ~ leq(X2,X1)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ cyclefreeP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause185) ).
cnf(clause183,axiom,
( lt(X2,X4)
| lt(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause183) ).
cnf(clause184,axiom,
( leq(X2,X4)
| leq(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause184) ).
cnf(clause181,axiom,
( lt(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderedP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).
cnf(clause182,axiom,
( leq(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderedP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause182) ).
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(clause167,axiom,
( cyclefreeP(X1)
| app(app(skaf51(X1),cons(skaf49(X1),skaf52(X1))),cons(skaf50(X1),skaf53(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause167) ).
cnf(clause166,axiom,
( totalorderP(X1)
| app(app(skaf56(X1),cons(skaf54(X1),skaf57(X1))),cons(skaf55(X1),skaf58(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause166) ).
cnf(clause165,axiom,
( strictorderP(X1)
| app(app(skaf61(X1),cons(skaf59(X1),skaf62(X1))),cons(skaf60(X1),skaf63(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause165) ).
cnf(clause164,axiom,
( totalorderedP(X1)
| app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause164) ).
cnf(clause163,axiom,
( strictorderedP(X1)
| app(app(skaf71(X1),cons(skaf69(X1),skaf72(X1))),cons(skaf70(X1),skaf73(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause163) ).
cnf(clause162,axiom,
( duplicatefreeP(X1)
| app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause162) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause180) ).
cnf(clause142,axiom,
( equalelemsP(X1)
| app(skaf80(X1),cons(skaf78(X1),cons(skaf79(X1),skaf81(X1)))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause142) ).
cnf(clause168,axiom,
( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause168) ).
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(clause174,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
cnf(clause172,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause172) ).
cnf(clause176,axiom,
( X1 = X3
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).
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(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(clause173,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(clause175,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(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(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(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(clause159,axiom,
( totalorderedP(cons(X1,X2))
| nil = X2
| ~ leq(X1,hd(X2))
| ~ totalorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause159) ).
cnf(clause160,axiom,
( strictorderedP(cons(X1,X2))
| nil = X2
| ~ lt(X1,hd(X2))
| ~ strictorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause160) ).
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(clause141,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
cnf(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(clause137,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
cnf(clause136,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause136) ).
cnf(clause134,axiom,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause134) ).
cnf(clause135,axiom,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause135) ).
cnf(clause146,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause146) ).
cnf(clause155,axiom,
( lt(X1,X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause155) ).
cnf(clause147,axiom,
( lt(X1,X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause147) ).
cnf(clause156,axiom,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause156) ).
cnf(clause154,axiom,
( frontsegP(X1,X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause154) ).
cnf(clause153,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause153) ).
cnf(clause152,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
cnf(clause148,axiom,
( geq(X1,X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause148) ).
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(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(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(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(clause125,axiom,
( totalorderedP(X2)
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause125) ).
cnf(clause124,axiom,
( strictorderedP(X2)
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause124) ).
cnf(co1_7,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
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(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(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(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(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(clause130,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause130) ).
cnf(clause126,axiom,
( X2 = X1
| ~ geq(X1,X2)
| ~ geq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause126) ).
cnf(clause129,axiom,
( X2 = X1
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).
cnf(clause128,axiom,
( X2 = X1
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause128) ).
cnf(clause127,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause127) ).
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(clause110,axiom,
( ~ gt(X1,X2)
| ~ gt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause110) ).
cnf(clause114,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause114) ).
cnf(clause122,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause122) ).
cnf(clause121,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause121) ).
cnf(clause95,axiom,
( totalorderP(X1)
| ~ leq(skaf54(X1),skaf55(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause95) ).
cnf(clause94,axiom,
( totalorderP(X1)
| ~ leq(skaf55(X1),skaf54(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause94) ).
cnf(clause93,axiom,
( strictorderP(X1)
| ~ lt(skaf59(X1),skaf60(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause93) ).
cnf(clause92,axiom,
( strictorderP(X1)
| ~ lt(skaf60(X1),skaf59(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause92) ).
cnf(clause91,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause91) ).
cnf(clause90,axiom,
( strictorderedP(X1)
| ~ lt(skaf69(X1),skaf70(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause90) ).
cnf(clause106,axiom,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause106) ).
cnf(clause105,axiom,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause105) ).
cnf(clause103,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause103) ).
cnf(clause107,axiom,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause107) ).
cnf(clause108,axiom,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause108) ).
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(clause113,axiom,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause113) ).
cnf(clause112,axiom,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause112) ).
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(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause117,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause117) ).
cnf(clause111,axiom,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause111) ).
cnf(clause115,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(clause116,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(clause88,axiom,
( cyclefreeP(X1)
| leq(skaf49(X1),skaf50(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause88) ).
cnf(clause87,axiom,
( cyclefreeP(X1)
| leq(skaf50(X1),skaf49(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause87) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause104,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause70,axiom,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause70) ).
cnf(clause69,axiom,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause69) ).
cnf(clause68,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause68) ).
cnf(clause67,axiom,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
cnf(clause66,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
cnf(clause65,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause65) ).
cnf(clause64,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause64) ).
cnf(clause101,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
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(clause102,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause53,axiom,
ssList(skaf42(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(clause52,axiom,
ssList(skaf43(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause49,axiom,
ssList(skaf47(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause49) ).
cnf(clause48,axiom,
ssList(skaf48(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause48) ).
cnf(clause63,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(clause84,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(clause82,axiom,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause82) ).
cnf(clause80,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(clause89,axiom,
( equalelemsP(X1)
| skaf79(X1) != skaf78(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause89) ).
cnf(clause83,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).
cnf(clause81,axiom,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause81) ).
cnf(clause79,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).
cnf(clause62,axiom,
( leq(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause62) ).
cnf(clause61,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(clause59,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
cnf(clause57,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).
cnf(clause55,axiom,
( geq(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause55) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause60,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(clause58,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(clause56,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
cnf(clause78,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(clause76,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
cnf(clause77,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(clause47,axiom,
ssItem(skaf44(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(clause46,axiom,
ssItem(skaf49(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause46) ).
cnf(clause45,axiom,
ssItem(skaf50(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause45) ).
cnf(clause41,axiom,
ssItem(skaf54(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause41) ).
cnf(clause40,axiom,
ssItem(skaf55(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause40) ).
cnf(clause36,axiom,
ssItem(skaf59(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause36) ).
cnf(clause35,axiom,
ssItem(skaf60(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause35) ).
cnf(clause31,axiom,
ssItem(skaf64(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause31) ).
cnf(clause30,axiom,
ssItem(skaf65(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause30) ).
cnf(clause26,axiom,
ssItem(skaf69(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause26) ).
cnf(clause25,axiom,
ssItem(skaf70(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause25) ).
cnf(clause21,axiom,
ssItem(skaf74(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause21) ).
cnf(clause17,axiom,
ssItem(skaf78(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause17) ).
cnf(clause16,axiom,
ssItem(skaf79(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause16) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause44,axiom,
ssList(skaf51(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause44) ).
cnf(clause43,axiom,
ssList(skaf52(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause43) ).
cnf(clause42,axiom,
ssList(skaf53(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause42) ).
cnf(clause39,axiom,
ssList(skaf56(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause39) ).
cnf(clause38,axiom,
ssList(skaf57(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause38) ).
cnf(clause37,axiom,
ssList(skaf58(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause37) ).
cnf(clause34,axiom,
ssList(skaf61(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause34) ).
cnf(clause33,axiom,
ssList(skaf62(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause33) ).
cnf(clause32,axiom,
ssList(skaf63(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause32) ).
cnf(clause29,axiom,
ssList(skaf66(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause29) ).
cnf(clause28,axiom,
ssList(skaf67(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause28) ).
cnf(clause27,axiom,
ssList(skaf68(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause27) ).
cnf(clause24,axiom,
ssList(skaf71(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause24) ).
cnf(clause23,axiom,
ssList(skaf72(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause23) ).
cnf(clause22,axiom,
ssList(skaf73(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause22) ).
cnf(clause20,axiom,
ssList(skaf75(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause20) ).
cnf(clause19,axiom,
ssList(skaf76(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause19) ).
cnf(clause18,axiom,
ssList(skaf77(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause18) ).
cnf(clause15,axiom,
ssList(skaf80(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause15) ).
cnf(clause14,axiom,
ssList(skaf81(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause14) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(clause11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
cnf(clause10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause10) ).
cnf(clause9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause9) ).
cnf(co1_4,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
cnf(co1_3,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause7) ).
cnf(clause6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause6) ).
cnf(clause5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause5) ).
cnf(clause4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
cnf(clause3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).
cnf(clause2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause2) ).
cnf(clause1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause1) ).
cnf(co1_9,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(co1_8,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(clause54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause54) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(i_0_195,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_10 ).
cnf(i_0_196,axiom,
( ~ leq(X1,X2)
| ~ leq(X2,X1)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ cyclefreeP(X6)
| ~ ssList(X6) ),
clause185,
[final] ).
cnf(i_0_197,axiom,
( lt(X2,X4)
| lt(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderP(X6)
| ~ ssList(X6) ),
clause183,
[final] ).
cnf(i_0_198,axiom,
( leq(X2,X4)
| leq(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderP(X6)
| ~ ssList(X6) ),
clause184,
[final] ).
cnf(i_0_199,axiom,
( lt(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderedP(X6)
| ~ ssList(X6) ),
clause181,
[final] ).
cnf(i_0_200,axiom,
( leq(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderedP(X6)
| ~ ssList(X6) ),
clause182,
[final] ).
cnf(i_0_201,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
clause179,
[final] ).
cnf(i_0_202,axiom,
( cyclefreeP(X1)
| app(app(skaf51(X1),cons(skaf49(X1),skaf52(X1))),cons(skaf50(X1),skaf53(X1))) = X1
| ~ ssList(X1) ),
clause167,
[final] ).
cnf(i_0_203,axiom,
( totalorderP(X1)
| app(app(skaf56(X1),cons(skaf54(X1),skaf57(X1))),cons(skaf55(X1),skaf58(X1))) = X1
| ~ ssList(X1) ),
clause166,
[final] ).
cnf(i_0_204,axiom,
( strictorderP(X1)
| app(app(skaf61(X1),cons(skaf59(X1),skaf62(X1))),cons(skaf60(X1),skaf63(X1))) = X1
| ~ ssList(X1) ),
clause165,
[final] ).
cnf(i_0_205,axiom,
( totalorderedP(X1)
| app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
| ~ ssList(X1) ),
clause164,
[final] ).
cnf(i_0_206,axiom,
( strictorderedP(X1)
| app(app(skaf71(X1),cons(skaf69(X1),skaf72(X1))),cons(skaf70(X1),skaf73(X1))) = X1
| ~ ssList(X1) ),
clause163,
[final] ).
cnf(i_0_207,axiom,
( duplicatefreeP(X1)
| app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
| ~ ssList(X1) ),
clause162,
[final] ).
cnf(i_0_208,axiom,
( X2 = X3
| app(X1,cons(X2,cons(X3,X4))) != X5
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ equalelemsP(X5)
| ~ ssList(X5) ),
clause180,
[final] ).
cnf(i_0_209,axiom,
( equalelemsP(X1)
| app(skaf80(X1),cons(skaf78(X1),cons(skaf79(X1),skaf81(X1)))) = X1
| ~ ssList(X1) ),
clause142,
[final] ).
cnf(i_0_210,axiom,
( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause168,
[final] ).
cnf(i_0_211,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
clause169,
[final] ).
cnf(i_0_212,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause174,
[final] ).
cnf(i_0_213,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause172,
[final] ).
cnf(i_0_214,axiom,
( X1 = X3
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause176,
[final] ).
cnf(i_0_215,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)],[i_0_195]),
[final] ).
cnf(i_0_216,axiom,
( frontsegP(cons(X3,X1),cons(X4,X2))
| ~ frontsegP(X1,X2)
| X3 != X4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
clause178,
[final] ).
cnf(i_0_217,axiom,
( memberP(X2,X3)
| memberP(X1,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
clause158,
[final] ).
cnf(i_0_218,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
clause173,
[final] ).
cnf(i_0_219,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175,
[final] ).
cnf(i_0_220,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161,
[final] ).
cnf(i_0_221,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149,
[final] ).
cnf(i_0_222,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157,
[final] ).
cnf(i_0_223,axiom,
( totalorderedP(cons(X1,X2))
| nil = X2
| ~ leq(X1,hd(X2))
| ~ totalorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause159,
[final] ).
cnf(i_0_224,axiom,
( strictorderedP(cons(X1,X2))
| nil = X2
| ~ lt(X1,hd(X2))
| ~ strictorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause160,
[final] ).
cnf(i_0_225,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause140,
[final] ).
cnf(i_0_226,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
clause141,
[final] ).
cnf(i_0_227,axiom,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
clause139,
[final] ).
cnf(i_0_228,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause137,
[final] ).
cnf(i_0_229,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause136,
[final] ).
cnf(i_0_230,axiom,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause134,
[final] ).
cnf(i_0_231,axiom,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause135,
[final] ).
cnf(i_0_232,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause146,
[final] ).
cnf(i_0_233,axiom,
( lt(X1,X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause155,
[final] ).
cnf(i_0_234,axiom,
( lt(X1,X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause147,
[final] ).
cnf(i_0_235,axiom,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause156,
[final] ).
cnf(i_0_236,axiom,
( frontsegP(X1,X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause154,
[final] ).
cnf(i_0_237,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause153,
[final] ).
cnf(i_0_238,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause152,
[final] ).
cnf(i_0_239,axiom,
( geq(X1,X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause148,
[final] ).
cnf(i_0_240,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131,
[final] ).
cnf(i_0_241,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132,
[final] ).
cnf(i_0_242,axiom,
( X1 = X3
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause170,
[final] ).
cnf(i_0_243,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171,
[final] ).
cnf(i_0_244,axiom,
( totalorderedP(X2)
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause125,
[final] ).
cnf(i_0_245,axiom,
( strictorderedP(X2)
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause124,
[final] ).
cnf(i_0_246,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
co1_7,
[final] ).
cnf(i_0_247,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151,
[final] ).
cnf(i_0_248,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150,
[final] ).
cnf(i_0_249,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133,
[final] ).
cnf(i_0_250,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause138,
[final] ).
cnf(i_0_251,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120,
[final] ).
cnf(i_0_252,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause130,
[final] ).
cnf(i_0_253,axiom,
( X2 = X1
| ~ geq(X1,X2)
| ~ geq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause126,
[final] ).
cnf(i_0_254,axiom,
( X2 = X1
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause129,
[final] ).
cnf(i_0_255,axiom,
( X2 = X1
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause128,
[final] ).
cnf(i_0_256,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause127,
[final] ).
cnf(i_0_257,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause144,
[final] ).
cnf(i_0_258,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause143,
[final] ).
cnf(i_0_259,axiom,
( ~ gt(X1,X2)
| ~ gt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause110,
[final] ).
cnf(i_0_260,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause114,
[final] ).
cnf(i_0_261,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause122,
[final] ).
cnf(i_0_262,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause121,
[final] ).
cnf(i_0_263,axiom,
( totalorderP(X1)
| ~ leq(skaf54(X1),skaf55(X1))
| ~ ssList(X1) ),
clause95,
[final] ).
cnf(i_0_264,axiom,
( totalorderP(X1)
| ~ leq(skaf55(X1),skaf54(X1))
| ~ ssList(X1) ),
clause94,
[final] ).
cnf(i_0_265,axiom,
( strictorderP(X1)
| ~ lt(skaf59(X1),skaf60(X1))
| ~ ssList(X1) ),
clause93,
[final] ).
cnf(i_0_266,axiom,
( strictorderP(X1)
| ~ lt(skaf60(X1),skaf59(X1))
| ~ ssList(X1) ),
clause92,
[final] ).
cnf(i_0_267,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
clause91,
[final] ).
cnf(i_0_268,axiom,
( strictorderedP(X1)
| ~ lt(skaf69(X1),skaf70(X1))
| ~ ssList(X1) ),
clause90,
[final] ).
cnf(i_0_269,axiom,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause106,
[final] ).
cnf(i_0_270,axiom,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause105,
[final] ).
cnf(i_0_271,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause103,
[final] ).
cnf(i_0_272,axiom,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause107,
[final] ).
cnf(i_0_273,axiom,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause108,
[final] ).
cnf(i_0_274,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause123,
[final] ).
cnf(i_0_275,axiom,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause113,
[final] ).
cnf(i_0_276,axiom,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause112,
[final] ).
cnf(i_0_277,axiom,
( nil = X2
| X1 = X2
| nil = X1
| tl(X1) != tl(X2)
| hd(X1) != hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause177,
[final] ).
cnf(i_0_278,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97,
[final] ).
cnf(i_0_279,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96,
[final] ).
cnf(i_0_280,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85,
[final] ).
cnf(i_0_281,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86,
[final] ).
cnf(i_0_282,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause117,
[final] ).
cnf(i_0_283,axiom,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause111,
[final] ).
cnf(i_0_284,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause115,
[final] ).
cnf(i_0_285,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116,
[final] ).
cnf(i_0_286,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118,
[final] ).
cnf(i_0_287,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119,
[final] ).
cnf(i_0_288,axiom,
( cyclefreeP(X1)
| leq(skaf49(X1),skaf50(X1))
| ~ ssList(X1) ),
clause88,
[final] ).
cnf(i_0_289,axiom,
( cyclefreeP(X1)
| leq(skaf50(X1),skaf49(X1))
| ~ ssList(X1) ),
clause87,
[final] ).
cnf(i_0_290,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99,
[final] ).
cnf(i_0_291,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98,
[final] ).
cnf(i_0_292,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104,
[final] ).
cnf(i_0_293,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109,
[final] ).
cnf(i_0_294,axiom,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause70,
[final] ).
cnf(i_0_295,axiom,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause69,
[final] ).
cnf(i_0_296,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause68,
[final] ).
cnf(i_0_297,axiom,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause67,
[final] ).
cnf(i_0_298,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause66,
[final] ).
cnf(i_0_299,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause65,
[final] ).
cnf(i_0_300,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
clause64,
[final] ).
cnf(i_0_301,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101,
[final] ).
cnf(i_0_302,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
clause145,
[final] ).
cnf(i_0_303,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause102,
[final] ).
cnf(i_0_304,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100,
[final] ).
cnf(i_0_305,axiom,
ssList(skaf42(X1,X2)),
clause53,
[final] ).
cnf(i_0_306,axiom,
ssList(skaf43(X1,X2)),
clause52,
[final] ).
cnf(i_0_307,axiom,
ssList(skaf45(X1,X2)),
clause51,
[final] ).
cnf(i_0_308,axiom,
ssList(skaf46(X1,X2)),
clause50,
[final] ).
cnf(i_0_309,axiom,
ssList(skaf47(X1,X2)),
clause49,
[final] ).
cnf(i_0_310,axiom,
ssList(skaf48(X1,X2)),
clause48,
[final] ).
cnf(i_0_311,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
clause63,
[final] ).
cnf(i_0_312,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
clause84,
[final] ).
cnf(i_0_313,axiom,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
clause82,
[final] ).
cnf(i_0_314,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
clause80,
[final] ).
cnf(i_0_315,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71,
[final] ).
cnf(i_0_316,axiom,
( equalelemsP(X1)
| skaf79(X1) != skaf78(X1)
| ~ ssList(X1) ),
clause89,
[final] ).
cnf(i_0_317,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause83,
[final] ).
cnf(i_0_318,axiom,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause81,
[final] ).
cnf(i_0_319,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause79,
[final] ).
cnf(i_0_320,axiom,
( leq(X1,X1)
| ~ ssItem(X1) ),
clause62,
[final] ).
cnf(i_0_321,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
clause61,
[final] ).
cnf(i_0_322,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
clause59,
[final] ).
cnf(i_0_323,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
clause57,
[final] ).
cnf(i_0_324,axiom,
( geq(X1,X1)
| ~ ssItem(X1) ),
clause55,
[final] ).
cnf(i_0_325,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74,
[final] ).
cnf(i_0_326,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73,
[final] ).
cnf(i_0_327,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
clause60,
[final] ).
cnf(i_0_328,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
clause58,
[final] ).
cnf(i_0_329,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
clause56,
[final] ).
cnf(i_0_330,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause78,
[final] ).
cnf(i_0_331,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76,
[final] ).
cnf(i_0_332,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause77,
[final] ).
cnf(i_0_333,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75,
[final] ).
cnf(i_0_334,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72,
[final] ).
cnf(i_0_335,axiom,
ssItem(skaf44(X1)),
clause47,
[final] ).
cnf(i_0_336,axiom,
ssItem(skaf49(X1)),
clause46,
[final] ).
cnf(i_0_337,axiom,
ssItem(skaf50(X1)),
clause45,
[final] ).
cnf(i_0_338,axiom,
ssItem(skaf54(X1)),
clause41,
[final] ).
cnf(i_0_339,axiom,
ssItem(skaf55(X1)),
clause40,
[final] ).
cnf(i_0_340,axiom,
ssItem(skaf59(X1)),
clause36,
[final] ).
cnf(i_0_341,axiom,
ssItem(skaf60(X1)),
clause35,
[final] ).
cnf(i_0_342,axiom,
ssItem(skaf64(X1)),
clause31,
[final] ).
cnf(i_0_343,axiom,
ssItem(skaf65(X1)),
clause30,
[final] ).
cnf(i_0_344,axiom,
ssItem(skaf69(X1)),
clause26,
[final] ).
cnf(i_0_345,axiom,
ssItem(skaf70(X1)),
clause25,
[final] ).
cnf(i_0_346,axiom,
ssItem(skaf74(X1)),
clause21,
[final] ).
cnf(i_0_347,axiom,
ssItem(skaf78(X1)),
clause17,
[final] ).
cnf(i_0_348,axiom,
ssItem(skaf79(X1)),
clause16,
[final] ).
cnf(i_0_349,axiom,
ssItem(skaf83(X1)),
clause12,
[final] ).
cnf(i_0_350,axiom,
ssList(skaf51(X1)),
clause44,
[final] ).
cnf(i_0_351,axiom,
ssList(skaf52(X1)),
clause43,
[final] ).
cnf(i_0_352,axiom,
ssList(skaf53(X1)),
clause42,
[final] ).
cnf(i_0_353,axiom,
ssList(skaf56(X1)),
clause39,
[final] ).
cnf(i_0_354,axiom,
ssList(skaf57(X1)),
clause38,
[final] ).
cnf(i_0_355,axiom,
ssList(skaf58(X1)),
clause37,
[final] ).
cnf(i_0_356,axiom,
ssList(skaf61(X1)),
clause34,
[final] ).
cnf(i_0_357,axiom,
ssList(skaf62(X1)),
clause33,
[final] ).
cnf(i_0_358,axiom,
ssList(skaf63(X1)),
clause32,
[final] ).
cnf(i_0_359,axiom,
ssList(skaf66(X1)),
clause29,
[final] ).
cnf(i_0_360,axiom,
ssList(skaf67(X1)),
clause28,
[final] ).
cnf(i_0_361,axiom,
ssList(skaf68(X1)),
clause27,
[final] ).
cnf(i_0_362,axiom,
ssList(skaf71(X1)),
clause24,
[final] ).
cnf(i_0_363,axiom,
ssList(skaf72(X1)),
clause23,
[final] ).
cnf(i_0_364,axiom,
ssList(skaf73(X1)),
clause22,
[final] ).
cnf(i_0_365,axiom,
ssList(skaf75(X1)),
clause20,
[final] ).
cnf(i_0_366,axiom,
ssList(skaf76(X1)),
clause19,
[final] ).
cnf(i_0_367,axiom,
ssList(skaf77(X1)),
clause18,
[final] ).
cnf(i_0_368,axiom,
ssList(skaf80(X1)),
clause15,
[final] ).
cnf(i_0_369,axiom,
ssList(skaf81(X1)),
clause14,
[final] ).
cnf(i_0_370,axiom,
ssList(skaf82(X1)),
clause13,
[final] ).
cnf(i_0_371,axiom,
~ singletonP(nil),
clause11,
[final] ).
cnf(i_0_372,axiom,
ssItem(skac2),
clause10,
[final] ).
cnf(i_0_373,axiom,
ssItem(skac3),
clause9,
[final] ).
cnf(i_0_374,negated_conjecture,
ssList(sk4),
co1_4,
[final] ).
cnf(i_0_375,negated_conjecture,
ssList(sk3),
co1_3,
[final] ).
cnf(i_0_376,negated_conjecture,
ssList(sk2),
co1_2,
[final] ).
cnf(i_0_377,negated_conjecture,
ssList(sk1),
co1_1,
[final] ).
cnf(i_0_378,axiom,
ssList(nil),
clause8,
[final] ).
cnf(i_0_379,axiom,
cyclefreeP(nil),
clause7,
[final] ).
cnf(i_0_380,axiom,
totalorderP(nil),
clause6,
[final] ).
cnf(i_0_381,axiom,
strictorderP(nil),
clause5,
[final] ).
cnf(i_0_382,axiom,
totalorderedP(nil),
clause4,
[final] ).
cnf(i_0_383,axiom,
strictorderedP(nil),
clause3,
[final] ).
cnf(i_0_384,axiom,
duplicatefreeP(nil),
clause2,
[final] ).
cnf(i_0_385,axiom,
equalelemsP(nil),
clause1,
[final] ).
cnf(i_0_386,negated_conjecture,
( nil != sk2
| nil != sk1 ),
co1_9,
[final] ).
cnf(i_0_387,negated_conjecture,
( nil = sk3
| nil != sk4 ),
co1_8,
[final] ).
cnf(i_0_388,axiom,
skac3 != skac2,
clause54,
[final] ).
cnf(i_0_389,negated_conjecture,
sk2 = sk4,
co1_5,
[final] ).
cnf(i_0_390,negated_conjecture,
sk1 = sk3,
co1_6,
[final] ).
cnf(i_0_391,axiom,
X1 = X1 ).
cnf(i_0_392,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_393,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_394,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| skaf78(X1) = skaf78(X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| skaf79(X1) = skaf79(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_456,plain,
sk4 = sk2,
inference(scs_inference,[],[i_0_389,i_0_392]) ).
cnf(i_0_457,plain,
~ lt(skac2,skac2),
inference(scs_inference,[],[i_0_389,i_0_372,i_0_392,i_0_311]) ).
cnf(i_0_459,plain,
leq(skac2,skac2),
inference(scs_inference,[],[i_0_389,i_0_372,i_0_392,i_0_311,i_0_320]) ).
cnf(i_0_461,plain,
frontsegP(sk4,sk4),
inference(scs_inference,[],[i_0_374,i_0_389,i_0_372,i_0_392,i_0_311,i_0_320,i_0_321]) ).
cnf(i_0_463,plain,
rearsegP(sk4,sk4),
inference(scs_inference,[],[i_0_374,i_0_389,i_0_372,i_0_392,i_0_311,i_0_320,i_0_321,i_0_322]) ).
cnf(i_0_465,plain,
segmentP(sk4,sk4),
inference(scs_inference,[],[i_0_374,i_0_389,i_0_372,i_0_392,i_0_311,i_0_320,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_467,plain,
geq(skac2,skac2),
inference(scs_inference,[],[i_0_374,i_0_389,i_0_372,i_0_392,i_0_311,i_0_320,i_0_321,i_0_322,i_0_323,i_0_324]) ).
cnf(i_0_497,plain,
~ lt(skaf44(X1),skaf44(X1)),
inference(scs_inference,[],[i_0_335,i_0_311]) ).
cnf(i_0_499,plain,
frontsegP(sk2,sk2),
inference(scs_inference,[],[i_0_376,i_0_335,i_0_311,i_0_321]) ).
cnf(i_0_501,plain,
rearsegP(sk2,sk2),
inference(scs_inference,[],[i_0_376,i_0_335,i_0_311,i_0_321,i_0_322]) ).
cnf(i_0_503,plain,
segmentP(sk2,sk2),
inference(scs_inference,[],[i_0_376,i_0_335,i_0_311,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_505,plain,
leq(skaf44(X1),skaf44(X1)),
inference(scs_inference,[],[i_0_376,i_0_335,i_0_311,i_0_321,i_0_322,i_0_323,i_0_320]) ).
cnf(i_0_507,plain,
geq(skaf44(X1),skaf44(X1)),
inference(scs_inference,[],[i_0_376,i_0_335,i_0_311,i_0_321,i_0_322,i_0_323,i_0_320,i_0_324]) ).
cnf(i_0_509,plain,
sk3 = sk1,
inference(scs_inference,[],[i_0_376,i_0_390,i_0_335,i_0_311,i_0_321,i_0_322,i_0_323,i_0_320,i_0_324,i_0_392]) ).
cnf(i_0_530,plain,
~ lt(skaf49(X1),skaf49(X1)),
inference(scs_inference,[],[i_0_336,i_0_311]) ).
cnf(i_0_532,plain,
frontsegP(sk1,sk1),
inference(scs_inference,[],[i_0_377,i_0_336,i_0_311,i_0_321]) ).
cnf(i_0_534,plain,
rearsegP(sk1,sk1),
inference(scs_inference,[],[i_0_377,i_0_336,i_0_311,i_0_321,i_0_322]) ).
cnf(i_0_536,plain,
segmentP(sk1,sk1),
inference(scs_inference,[],[i_0_377,i_0_336,i_0_311,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_538,plain,
leq(skaf49(X1),skaf49(X1)),
inference(scs_inference,[],[i_0_377,i_0_336,i_0_311,i_0_321,i_0_322,i_0_323,i_0_320]) ).
cnf(i_0_540,plain,
geq(skaf49(X1),skaf49(X1)),
inference(scs_inference,[],[i_0_377,i_0_336,i_0_311,i_0_321,i_0_322,i_0_323,i_0_320,i_0_324]) ).
cnf(i_0_564,plain,
~ lt(skaf50(X1),skaf50(X1)),
inference(scs_inference,[],[i_0_337,i_0_311]) ).
cnf(i_0_566,plain,
frontsegP(sk3,sk3),
inference(scs_inference,[],[i_0_375,i_0_337,i_0_311,i_0_321]) ).
cnf(i_0_568,plain,
rearsegP(sk3,sk3),
inference(scs_inference,[],[i_0_375,i_0_337,i_0_311,i_0_321,i_0_322]) ).
cnf(i_0_570,plain,
segmentP(sk3,sk3),
inference(scs_inference,[],[i_0_375,i_0_337,i_0_311,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_572,plain,
leq(skaf50(X1),skaf50(X1)),
inference(scs_inference,[],[i_0_375,i_0_337,i_0_311,i_0_321,i_0_322,i_0_323,i_0_320]) ).
cnf(i_0_574,plain,
geq(skaf50(X1),skaf50(X1)),
inference(scs_inference,[],[i_0_375,i_0_337,i_0_311,i_0_321,i_0_322,i_0_323,i_0_320,i_0_324]) ).
cnf(i_0_590,plain,
~ lt(skaf54(X1),skaf54(X1)),
inference(scs_inference,[],[i_0_338,i_0_311]) ).
cnf(i_0_592,plain,
leq(skaf54(X1),skaf54(X1)),
inference(scs_inference,[],[i_0_338,i_0_311,i_0_320]) ).
cnf(i_0_594,plain,
geq(skaf54(X1),skaf54(X1)),
inference(scs_inference,[],[i_0_338,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_596,plain,
frontsegP(nil,nil),
inference(scs_inference,[],[i_0_378,i_0_338,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_598,plain,
rearsegP(nil,nil),
inference(scs_inference,[],[i_0_378,i_0_338,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_600,plain,
segmentP(nil,nil),
inference(scs_inference,[],[i_0_378,i_0_338,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_622,plain,
~ lt(skaf55(X1),skaf55(X1)),
inference(scs_inference,[],[i_0_339,i_0_311]) ).
cnf(i_0_624,plain,
leq(skaf55(X1),skaf55(X1)),
inference(scs_inference,[],[i_0_339,i_0_311,i_0_320]) ).
cnf(i_0_626,plain,
geq(skaf55(X1),skaf55(X1)),
inference(scs_inference,[],[i_0_339,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_628,plain,
frontsegP(skaf42(X1,X2),skaf42(X1,X2)),
inference(scs_inference,[],[i_0_305,i_0_339,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_630,plain,
rearsegP(skaf42(X1,X2),skaf42(X1,X2)),
inference(scs_inference,[],[i_0_305,i_0_339,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_632,plain,
segmentP(skaf42(X1,X2),skaf42(X1,X2)),
inference(scs_inference,[],[i_0_305,i_0_339,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_654,plain,
~ lt(skaf59(X1),skaf59(X1)),
inference(scs_inference,[],[i_0_340,i_0_311]) ).
cnf(i_0_656,plain,
leq(skaf59(X1),skaf59(X1)),
inference(scs_inference,[],[i_0_340,i_0_311,i_0_320]) ).
cnf(i_0_658,plain,
geq(skaf59(X1),skaf59(X1)),
inference(scs_inference,[],[i_0_340,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_660,plain,
frontsegP(skaf43(X1,X2),skaf43(X1,X2)),
inference(scs_inference,[],[i_0_306,i_0_340,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_662,plain,
rearsegP(skaf43(X1,X2),skaf43(X1,X2)),
inference(scs_inference,[],[i_0_306,i_0_340,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_664,plain,
segmentP(skaf43(X1,X2),skaf43(X1,X2)),
inference(scs_inference,[],[i_0_306,i_0_340,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_686,plain,
~ lt(skaf60(X1),skaf60(X1)),
inference(scs_inference,[],[i_0_341,i_0_311]) ).
cnf(i_0_688,plain,
leq(skaf60(X1),skaf60(X1)),
inference(scs_inference,[],[i_0_341,i_0_311,i_0_320]) ).
cnf(i_0_690,plain,
geq(skaf60(X1),skaf60(X1)),
inference(scs_inference,[],[i_0_341,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_692,plain,
frontsegP(skaf45(X1,X2),skaf45(X1,X2)),
inference(scs_inference,[],[i_0_307,i_0_341,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_694,plain,
rearsegP(skaf45(X1,X2),skaf45(X1,X2)),
inference(scs_inference,[],[i_0_307,i_0_341,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_696,plain,
segmentP(skaf45(X1,X2),skaf45(X1,X2)),
inference(scs_inference,[],[i_0_307,i_0_341,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_718,plain,
~ lt(skaf64(X1),skaf64(X1)),
inference(scs_inference,[],[i_0_342,i_0_311]) ).
cnf(i_0_720,plain,
leq(skaf64(X1),skaf64(X1)),
inference(scs_inference,[],[i_0_342,i_0_311,i_0_320]) ).
cnf(i_0_722,plain,
geq(skaf64(X1),skaf64(X1)),
inference(scs_inference,[],[i_0_342,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_724,plain,
frontsegP(skaf46(X1,X2),skaf46(X1,X2)),
inference(scs_inference,[],[i_0_308,i_0_342,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_726,plain,
rearsegP(skaf46(X1,X2),skaf46(X1,X2)),
inference(scs_inference,[],[i_0_308,i_0_342,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_728,plain,
segmentP(skaf46(X1,X2),skaf46(X1,X2)),
inference(scs_inference,[],[i_0_308,i_0_342,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_750,plain,
~ lt(skaf65(X1),skaf65(X1)),
inference(scs_inference,[],[i_0_343,i_0_311]) ).
cnf(i_0_752,plain,
leq(skaf65(X1),skaf65(X1)),
inference(scs_inference,[],[i_0_343,i_0_311,i_0_320]) ).
cnf(i_0_754,plain,
geq(skaf65(X1),skaf65(X1)),
inference(scs_inference,[],[i_0_343,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_756,plain,
frontsegP(skaf47(X1,X2),skaf47(X1,X2)),
inference(scs_inference,[],[i_0_309,i_0_343,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_758,plain,
rearsegP(skaf47(X1,X2),skaf47(X1,X2)),
inference(scs_inference,[],[i_0_309,i_0_343,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_760,plain,
segmentP(skaf47(X1,X2),skaf47(X1,X2)),
inference(scs_inference,[],[i_0_309,i_0_343,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_782,plain,
~ lt(skaf69(X1),skaf69(X1)),
inference(scs_inference,[],[i_0_344,i_0_311]) ).
cnf(i_0_784,plain,
leq(skaf69(X1),skaf69(X1)),
inference(scs_inference,[],[i_0_344,i_0_311,i_0_320]) ).
cnf(i_0_786,plain,
geq(skaf69(X1),skaf69(X1)),
inference(scs_inference,[],[i_0_344,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_788,plain,
frontsegP(skaf48(X1,X2),skaf48(X1,X2)),
inference(scs_inference,[],[i_0_310,i_0_344,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_790,plain,
rearsegP(skaf48(X1,X2),skaf48(X1,X2)),
inference(scs_inference,[],[i_0_310,i_0_344,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_792,plain,
segmentP(skaf48(X1,X2),skaf48(X1,X2)),
inference(scs_inference,[],[i_0_310,i_0_344,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_814,plain,
~ lt(skaf70(X1),skaf70(X1)),
inference(scs_inference,[],[i_0_345,i_0_311]) ).
cnf(i_0_816,plain,
leq(skaf70(X1),skaf70(X1)),
inference(scs_inference,[],[i_0_345,i_0_311,i_0_320]) ).
cnf(i_0_818,plain,
geq(skaf70(X1),skaf70(X1)),
inference(scs_inference,[],[i_0_345,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_820,plain,
frontsegP(skaf51(X1),skaf51(X1)),
inference(scs_inference,[],[i_0_345,i_0_350,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_822,plain,
rearsegP(skaf51(X1),skaf51(X1)),
inference(scs_inference,[],[i_0_345,i_0_350,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_824,plain,
segmentP(skaf51(X1),skaf51(X1)),
inference(scs_inference,[],[i_0_345,i_0_350,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_846,plain,
~ lt(skaf74(X1),skaf74(X1)),
inference(scs_inference,[],[i_0_346,i_0_311]) ).
cnf(i_0_848,plain,
leq(skaf74(X1),skaf74(X1)),
inference(scs_inference,[],[i_0_346,i_0_311,i_0_320]) ).
cnf(i_0_850,plain,
geq(skaf74(X1),skaf74(X1)),
inference(scs_inference,[],[i_0_346,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_852,plain,
frontsegP(skaf52(X1),skaf52(X1)),
inference(scs_inference,[],[i_0_346,i_0_351,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_854,plain,
rearsegP(skaf52(X1),skaf52(X1)),
inference(scs_inference,[],[i_0_346,i_0_351,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_856,plain,
segmentP(skaf52(X1),skaf52(X1)),
inference(scs_inference,[],[i_0_346,i_0_351,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_878,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(scs_inference,[],[i_0_347,i_0_311]) ).
cnf(i_0_880,plain,
leq(skaf78(X1),skaf78(X1)),
inference(scs_inference,[],[i_0_347,i_0_311,i_0_320]) ).
cnf(i_0_882,plain,
geq(skaf78(X1),skaf78(X1)),
inference(scs_inference,[],[i_0_347,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_884,plain,
frontsegP(skaf53(X1),skaf53(X1)),
inference(scs_inference,[],[i_0_347,i_0_352,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_886,plain,
rearsegP(skaf53(X1),skaf53(X1)),
inference(scs_inference,[],[i_0_347,i_0_352,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_888,plain,
segmentP(skaf53(X1),skaf53(X1)),
inference(scs_inference,[],[i_0_347,i_0_352,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_910,plain,
~ lt(skaf79(X1),skaf79(X1)),
inference(scs_inference,[],[i_0_348,i_0_311]) ).
cnf(i_0_912,plain,
leq(skaf79(X1),skaf79(X1)),
inference(scs_inference,[],[i_0_348,i_0_311,i_0_320]) ).
cnf(i_0_914,plain,
geq(skaf79(X1),skaf79(X1)),
inference(scs_inference,[],[i_0_348,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_916,plain,
frontsegP(skaf56(X1),skaf56(X1)),
inference(scs_inference,[],[i_0_348,i_0_353,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_918,plain,
rearsegP(skaf56(X1),skaf56(X1)),
inference(scs_inference,[],[i_0_348,i_0_353,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_920,plain,
segmentP(skaf56(X1),skaf56(X1)),
inference(scs_inference,[],[i_0_348,i_0_353,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_942,plain,
~ lt(skaf83(X1),skaf83(X1)),
inference(scs_inference,[],[i_0_349,i_0_311]) ).
cnf(i_0_944,plain,
leq(skaf83(X1),skaf83(X1)),
inference(scs_inference,[],[i_0_349,i_0_311,i_0_320]) ).
cnf(i_0_946,plain,
geq(skaf83(X1),skaf83(X1)),
inference(scs_inference,[],[i_0_349,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_948,plain,
frontsegP(skaf57(X1),skaf57(X1)),
inference(scs_inference,[],[i_0_349,i_0_354,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_950,plain,
rearsegP(skaf57(X1),skaf57(X1)),
inference(scs_inference,[],[i_0_349,i_0_354,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_952,plain,
segmentP(skaf57(X1),skaf57(X1)),
inference(scs_inference,[],[i_0_349,i_0_354,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_974,plain,
~ lt(skac3,skac3),
inference(scs_inference,[],[i_0_373,i_0_311]) ).
cnf(i_0_976,plain,
leq(skac3,skac3),
inference(scs_inference,[],[i_0_373,i_0_311,i_0_320]) ).
cnf(i_0_978,plain,
geq(skac3,skac3),
inference(scs_inference,[],[i_0_373,i_0_311,i_0_320,i_0_324]) ).
cnf(i_0_980,plain,
frontsegP(skaf58(X1),skaf58(X1)),
inference(scs_inference,[],[i_0_355,i_0_373,i_0_311,i_0_320,i_0_324,i_0_321]) ).
cnf(i_0_982,plain,
rearsegP(skaf58(X1),skaf58(X1)),
inference(scs_inference,[],[i_0_355,i_0_373,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322]) ).
cnf(i_0_984,plain,
segmentP(skaf58(X1),skaf58(X1)),
inference(scs_inference,[],[i_0_355,i_0_373,i_0_311,i_0_320,i_0_324,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1009,plain,
frontsegP(skaf61(X1),skaf61(X1)),
inference(scs_inference,[],[i_0_356,i_0_321]) ).
cnf(i_0_1011,plain,
rearsegP(skaf61(X1),skaf61(X1)),
inference(scs_inference,[],[i_0_356,i_0_321,i_0_322]) ).
cnf(i_0_1013,plain,
segmentP(skaf61(X1),skaf61(X1)),
inference(scs_inference,[],[i_0_356,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1028,plain,
frontsegP(skaf62(X1),skaf62(X1)),
inference(scs_inference,[],[i_0_357,i_0_321]) ).
cnf(i_0_1030,plain,
rearsegP(skaf62(X1),skaf62(X1)),
inference(scs_inference,[],[i_0_357,i_0_321,i_0_322]) ).
cnf(i_0_1032,plain,
segmentP(skaf62(X1),skaf62(X1)),
inference(scs_inference,[],[i_0_357,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1047,plain,
frontsegP(skaf63(X1),skaf63(X1)),
inference(scs_inference,[],[i_0_358,i_0_321]) ).
cnf(i_0_1049,plain,
rearsegP(skaf63(X1),skaf63(X1)),
inference(scs_inference,[],[i_0_358,i_0_321,i_0_322]) ).
cnf(i_0_1051,plain,
segmentP(skaf63(X1),skaf63(X1)),
inference(scs_inference,[],[i_0_358,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1066,plain,
frontsegP(skaf66(X1),skaf66(X1)),
inference(scs_inference,[],[i_0_359,i_0_321]) ).
cnf(i_0_1068,plain,
rearsegP(skaf66(X1),skaf66(X1)),
inference(scs_inference,[],[i_0_359,i_0_321,i_0_322]) ).
cnf(i_0_1070,plain,
segmentP(skaf66(X1),skaf66(X1)),
inference(scs_inference,[],[i_0_359,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1085,plain,
frontsegP(skaf67(X1),skaf67(X1)),
inference(scs_inference,[],[i_0_360,i_0_321]) ).
cnf(i_0_1087,plain,
rearsegP(skaf67(X1),skaf67(X1)),
inference(scs_inference,[],[i_0_360,i_0_321,i_0_322]) ).
cnf(i_0_1089,plain,
segmentP(skaf67(X1),skaf67(X1)),
inference(scs_inference,[],[i_0_360,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1104,plain,
frontsegP(skaf68(X1),skaf68(X1)),
inference(scs_inference,[],[i_0_361,i_0_321]) ).
cnf(i_0_1106,plain,
rearsegP(skaf68(X1),skaf68(X1)),
inference(scs_inference,[],[i_0_361,i_0_321,i_0_322]) ).
cnf(i_0_1108,plain,
segmentP(skaf68(X1),skaf68(X1)),
inference(scs_inference,[],[i_0_361,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1123,plain,
frontsegP(skaf71(X1),skaf71(X1)),
inference(scs_inference,[],[i_0_362,i_0_321]) ).
cnf(i_0_1125,plain,
rearsegP(skaf71(X1),skaf71(X1)),
inference(scs_inference,[],[i_0_362,i_0_321,i_0_322]) ).
cnf(i_0_1127,plain,
segmentP(skaf71(X1),skaf71(X1)),
inference(scs_inference,[],[i_0_362,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1142,plain,
frontsegP(skaf72(X1),skaf72(X1)),
inference(scs_inference,[],[i_0_363,i_0_321]) ).
cnf(i_0_1144,plain,
rearsegP(skaf72(X1),skaf72(X1)),
inference(scs_inference,[],[i_0_363,i_0_321,i_0_322]) ).
cnf(i_0_1146,plain,
segmentP(skaf72(X1),skaf72(X1)),
inference(scs_inference,[],[i_0_363,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1161,plain,
frontsegP(skaf73(X1),skaf73(X1)),
inference(scs_inference,[],[i_0_364,i_0_321]) ).
cnf(i_0_1163,plain,
rearsegP(skaf73(X1),skaf73(X1)),
inference(scs_inference,[],[i_0_364,i_0_321,i_0_322]) ).
cnf(i_0_1165,plain,
segmentP(skaf73(X1),skaf73(X1)),
inference(scs_inference,[],[i_0_364,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1180,plain,
frontsegP(skaf75(X1),skaf75(X1)),
inference(scs_inference,[],[i_0_365,i_0_321]) ).
cnf(i_0_1182,plain,
rearsegP(skaf75(X1),skaf75(X1)),
inference(scs_inference,[],[i_0_365,i_0_321,i_0_322]) ).
cnf(i_0_1184,plain,
segmentP(skaf75(X1),skaf75(X1)),
inference(scs_inference,[],[i_0_365,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1199,plain,
frontsegP(skaf76(X1),skaf76(X1)),
inference(scs_inference,[],[i_0_366,i_0_321]) ).
cnf(i_0_1201,plain,
rearsegP(skaf76(X1),skaf76(X1)),
inference(scs_inference,[],[i_0_366,i_0_321,i_0_322]) ).
cnf(i_0_1203,plain,
segmentP(skaf76(X1),skaf76(X1)),
inference(scs_inference,[],[i_0_366,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1218,plain,
frontsegP(skaf77(X1),skaf77(X1)),
inference(scs_inference,[],[i_0_367,i_0_321]) ).
cnf(i_0_1220,plain,
rearsegP(skaf77(X1),skaf77(X1)),
inference(scs_inference,[],[i_0_367,i_0_321,i_0_322]) ).
cnf(i_0_1222,plain,
segmentP(skaf77(X1),skaf77(X1)),
inference(scs_inference,[],[i_0_367,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1237,plain,
frontsegP(skaf80(X1),skaf80(X1)),
inference(scs_inference,[],[i_0_368,i_0_321]) ).
cnf(i_0_1239,plain,
rearsegP(skaf80(X1),skaf80(X1)),
inference(scs_inference,[],[i_0_368,i_0_321,i_0_322]) ).
cnf(i_0_1241,plain,
segmentP(skaf80(X1),skaf80(X1)),
inference(scs_inference,[],[i_0_368,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1256,plain,
frontsegP(skaf81(X1),skaf81(X1)),
inference(scs_inference,[],[i_0_369,i_0_321]) ).
cnf(i_0_1258,plain,
rearsegP(skaf81(X1),skaf81(X1)),
inference(scs_inference,[],[i_0_369,i_0_321,i_0_322]) ).
cnf(i_0_1260,plain,
segmentP(skaf81(X1),skaf81(X1)),
inference(scs_inference,[],[i_0_369,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1275,plain,
frontsegP(skaf82(X1),skaf82(X1)),
inference(scs_inference,[],[i_0_370,i_0_321]) ).
cnf(i_0_1277,plain,
rearsegP(skaf82(X1),skaf82(X1)),
inference(scs_inference,[],[i_0_370,i_0_321,i_0_322]) ).
cnf(i_0_1279,plain,
segmentP(skaf82(X1),skaf82(X1)),
inference(scs_inference,[],[i_0_370,i_0_321,i_0_322,i_0_323]) ).
cnf(i_0_1538,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_1564,plain,
ssList(skaf73(X1)),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_1582,plain,
ssList(skaf75(X1)),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_1590,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_366]) ).
cnf(i_0_1608,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_367]) ).
cnf(i_0_1617,plain,
ssList(skaf80(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_1642,plain,
ssList(skaf81(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_1660,plain,
ssList(skaf82(X1)),
inference(rename_variables,[],[i_0_370]) ).
cnf(i_0_1668,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_1686,plain,
ssList(skaf43(X1,X2)),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_1694,plain,
ssList(skaf45(X1,X2)),
inference(rename_variables,[],[i_0_307]) ).
cnf(i_0_1712,plain,
ssList(skaf46(X1,X2)),
inference(rename_variables,[],[i_0_308]) ).
cnf(i_0_1720,plain,
ssList(skaf47(X1,X2)),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_1738,plain,
ssList(skaf48(X1,X2)),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_1746,plain,
ssList(skaf51(X1)),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_1754,plain,
ssList(skaf52(X1)),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_1762,plain,
ssList(skaf53(X1)),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_1770,plain,
ssList(skaf56(X1)),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_1778,plain,
ssList(skaf57(X1)),
inference(rename_variables,[],[i_0_354]) ).
cnf(i_0_1786,plain,
ssList(skaf58(X1)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_1794,plain,
ssList(skaf61(X1)),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_1802,plain,
ssList(skaf62(X1)),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_1810,plain,
ssList(skaf63(X1)),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_1818,plain,
ssList(skaf66(X1)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1826,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_1834,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_1842,plain,
ssList(skaf71(X1)),
inference(rename_variables,[],[i_0_362]) ).
cnf(i_0_1850,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_1861,plain,
ssList(skaf73(X1)),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_1870,plain,
ssList(skaf43(X1,X2)),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_1878,plain,
ssList(skaf46(X1,X2)),
inference(rename_variables,[],[i_0_308]) ).
cnf(i_0_1887,plain,
ssList(skaf48(X1,X2)),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_1895,plain,
ssList(skaf45(X1,X2)),
inference(rename_variables,[],[i_0_307]) ).
cnf(i_0_1904,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_366]) ).
cnf(i_0_1913,plain,
ssList(skaf47(X1,X2)),
inference(rename_variables,[],[i_0_309]) ).
cnf(i_0_1922,plain,
ssList(skaf52(X1)),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_1931,plain,
ssList(skaf51(X1)),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_1940,plain,
ssList(skaf53(X1)),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_1949,plain,
ssList(skaf56(X1)),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_1958,plain,
ssList(skaf57(X1)),
inference(rename_variables,[],[i_0_354]) ).
cnf(i_0_1967,plain,
ssList(skaf58(X1)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_1976,plain,
ssList(skaf61(X1)),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_1985,plain,
ssList(skaf62(X1)),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_1994,plain,
ssList(skaf63(X1)),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_2003,plain,
ssList(skaf66(X1)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_2012,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_2023,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_2032,plain,
ssList(skaf71(X1)),
inference(rename_variables,[],[i_0_362]) ).
cnf(i_0_2039,plain,
ssList(skaf80(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_2045,plain,
ssList(skaf81(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2052,plain,
ssList(skaf75(X1)),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_2058,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_367]) ).
cnf(i_0_2064,plain,
ssList(skaf82(X1)),
inference(rename_variables,[],[i_0_370]) ).
cnf(i_0_2070,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_2076,plain,
ssList(skaf43(X1,X2)),
inference(rename_variables,[],[i_0_306]) ).
cnf(i_0_2083,plain,
ssList(skaf46(X1,X2)),
inference(rename_variables,[],[i_0_308]) ).
cnf(i_0_2089,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_2095,plain,
ssList(skaf48(X1,X2)),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_2103,plain,
ssList(skaf45(X1,X2)),
inference(rename_variables,[],[i_0_307]) ).
cnf(i_0_2111,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_2120,plain,
ssList(skaf73(X1)),
inference(rename_variables,[],[i_0_364]) ).
cnf(c_0_513,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
i_0_201 ).
cnf(c_0_514,plain,
( ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4)))
| ~ ssItem(X2)
| ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_513]) ).
cnf(c_0_515,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
i_0_211 ).
cnf(c_0_516,axiom,
ssList(skaf43(X1,X2)),
i_0_306 ).
cnf(c_0_517,axiom,
ssList(skaf42(X1,X2)),
i_0_305 ).
cnf(c_0_518,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
i_0_334 ).
cnf(c_0_519,axiom,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_280 ).
cnf(c_0_520,negated_conjecture,
( nil != sk2
| nil != sk1 ),
i_0_386 ).
cnf(c_0_521,negated_conjecture,
sk2 = sk4,
i_0_389 ).
cnf(c_0_522,plain,
( ~ memberP(X1,X2)
| ~ duplicatefreeP(app(X1,cons(X2,X3)))
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_515]),c_0_516]),c_0_517])]) ).
cnf(c_0_523,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
i_0_293 ).
cnf(c_0_524,axiom,
ssItem(skaf83(X1)),
i_0_349 ).
cnf(c_0_525,axiom,
ssList(skaf82(X1)),
i_0_370 ).
cnf(c_0_526,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_278 ).
cnf(c_0_527,plain,
( duplicatefreeP(app(X1,X2))
| ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_528,negated_conjecture,
ssList(sk4),
i_0_374 ).
cnf(c_0_529,negated_conjecture,
ssList(sk3),
i_0_375 ).
cnf(c_0_530,negated_conjecture,
sk1 = sk3,
i_0_390 ).
cnf(c_0_531,negated_conjecture,
( sk3 = X1
| tl(sk4) != X2
| hd(sk4) != X3
| app(X2,X4) != X1
| cons(X3,nil) != X4
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
i_0_215 ).
cnf(c_0_532,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_279 ).
cnf(c_0_533,negated_conjecture,
( nil = sk3
| nil != sk4 ),
i_0_387 ).
cnf(c_0_534,negated_conjecture,
( sk4 != nil
| sk1 != nil ),
inference(rw,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_535,plain,
( nil = X1
| ~ memberP(X2,skaf83(X1))
| ~ duplicatefreeP(app(X2,X1))
| ~ ssList(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_522,c_0_523]),c_0_524]),c_0_525])]),c_0_519]) ).
cnf(c_0_536,plain,
( skaf83(X1) = hd(X1)
| nil = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_523]),c_0_524]),c_0_525])]) ).
cnf(c_0_537,negated_conjecture,
( duplicatefreeP(app(X1,sk4))
| ssItem(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_538,negated_conjecture,
ssList(sk1),
inference(rw,[status(thm)],[c_0_529,c_0_530]) ).
cnf(c_0_539,axiom,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssList(X1) ),
i_0_219 ).
cnf(c_0_540,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = sk1
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ 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)],[inference(rw,[status(thm)],[c_0_531,c_0_530])])])])]),c_0_519]) ).
cnf(c_0_541,plain,
( tl(X1) = skaf82(X1)
| nil = X1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_523]),c_0_524]),c_0_525])]) ).
cnf(c_0_542,negated_conjecture,
sk4 != nil,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_530]),c_0_534]) ).
cnf(c_0_543,plain,
( nil = X1
| ~ memberP(X2,hd(X1))
| ~ duplicatefreeP(app(X2,X1))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_544,negated_conjecture,
( duplicatefreeP(app(sk1,sk4))
| ssItem(X1) ),
inference(spm,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_545,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_539]) ).
cnf(c_0_546,negated_conjecture,
( app(skaf82(sk4),cons(hd(sk4),nil)) = sk1
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_541]),c_0_525]),c_0_528])]),c_0_542]) ).
cnf(c_0_547,axiom,
ssList(nil),
i_0_378 ).
cnf(c_0_548,negated_conjecture,
( ssItem(X1)
| ~ memberP(sk1,hd(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_544]),c_0_538]),c_0_528])]),c_0_542]) ).
cnf(c_0_549,negated_conjecture,
( memberP(sk1,hd(sk4))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_538]),c_0_547]),c_0_525])]) ).
cnf(c_0_550,negated_conjecture,
( ssItem(X1)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(spm,[status(thm)],[c_0_548,c_0_549]) ).
cnf(c_0_551,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_281 ).
cnf(c_0_552,negated_conjecture,
( ssItem(X1)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_551]),c_0_547])]) ).
cnf(c_0_553,axiom,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_304 ).
cnf(c_0_554,negated_conjecture,
( ssItem(X1)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_547]),c_0_528])]),c_0_542]) ).
cnf(c_0_555,negated_conjecture,
( ssItem(X1)
| ~ ssItem(hd(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_553]),c_0_528]),c_0_547])]),c_0_542]) ).
cnf(c_0_556,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
i_0_330 ).
cnf(c_0_557,negated_conjecture,
ssItem(X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_528])]),c_0_542]) ).
cnf(c_0_558,axiom,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
i_0_247 ).
cnf(c_0_559,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = sk1
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_557])]) ).
cnf(c_0_560,negated_conjecture,
( X1 = tl(sk4)
| app(X1,cons(hd(sk4),nil)) != sk1
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_558,c_0_559]) ).
cnf(c_0_561,negated_conjecture,
( app(skaf82(sk4),cons(hd(sk4),nil)) = sk1
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_546,c_0_557])]) ).
cnf(c_0_562,axiom,
( neq(X1,X2)
| X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_303 ).
cnf(c_0_563,axiom,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_221 ).
cnf(c_0_564,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_325 ).
cnf(c_0_565,negated_conjecture,
( tl(sk4) = skaf82(sk4)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_561]),c_0_525])]) ).
cnf(c_0_566,plain,
( X1 = X2
| neq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_562,c_0_557]),c_0_557])]) ).
cnf(c_0_567,plain,
( app(nil,app(X1,X2)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_547])]) ).
cnf(c_0_568,negated_conjecture,
( tl(sk4) = skaf82(sk4)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_542]) ).
cnf(c_0_569,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
i_0_301 ).
cnf(c_0_570,axiom,
ssItem(skaf44(X1)),
i_0_335 ).
cnf(c_0_571,axiom,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssItem(X2)
| ~ ssList(X1) ),
i_0_285 ).
cnf(c_0_572,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_302 ).
cnf(c_0_573,negated_conjecture,
( app(nil,sk1) = sk1
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_561]),c_0_525])]) ).
cnf(c_0_574,negated_conjecture,
( tl(sk4) = skaf82(sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_566]),c_0_542]) ).
cnf(c_0_575,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_551,c_0_557])]) ).
cnf(c_0_576,axiom,
( segmentP(X1,X2)
| app(app(X3,X2),X4) != X1
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_218 ).
cnf(c_0_577,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_532,c_0_569]),c_0_570]),c_0_547])]) ).
cnf(c_0_578,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_571]) ).
cnf(c_0_579,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_222 ).
cnf(c_0_580,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_572])]),c_0_547])]) ).
cnf(c_0_581,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_291 ).
cnf(c_0_582,negated_conjecture,
( app(nil,sk1) = sk1
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_566]),c_0_542]) ).
cnf(c_0_583,negated_conjecture,
( tl(sk4) = skaf82(sk4)
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_575]),c_0_547])]) ).
cnf(c_0_584,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
i_0_332 ).
cnf(c_0_585,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
i_0_246 ).
cnf(c_0_586,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_576]) ).
cnf(c_0_587,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_326 ).
cnf(c_0_588,plain,
( tl(cons(X1,nil)) = nil
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(spm,[status(thm)],[c_0_577,c_0_578]) ).
cnf(c_0_589,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_579,c_0_557])]) ).
cnf(c_0_590,plain,
( X1 = nil
| app(X1,nil) != nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_580]),c_0_547])]) ).
cnf(c_0_591,plain,
( cons(X1,X2) != nil
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_581,c_0_557])]) ).
cnf(c_0_592,axiom,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_274 ).
cnf(c_0_593,negated_conjecture,
( app(nil,sk1) = sk1
| ~ ssList(cons(hd(sk4),nil)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_566]),c_0_542]) ).
cnf(c_0_594,axiom,
( X1 = X2
| cons(X1,X3) != cons(X2,X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X3) ),
i_0_242 ).
cnf(c_0_595,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
i_0_292 ).
cnf(c_0_596,negated_conjecture,
tl(sk4) = skaf82(sk4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_584]),c_0_528])]),c_0_542]) ).
cnf(c_0_597,negated_conjecture,
( ~ neq(X1,nil)
| ~ segmentP(sk4,X1)
| ~ segmentP(sk1,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_585,c_0_521]) ).
cnf(c_0_598,plain,
( segmentP(app(X1,X2),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_587]),c_0_547])]),c_0_519]) ).
cnf(c_0_599,axiom,
( nil = X1
| X2 = X1
| nil = X2
| tl(X2) != tl(X1)
| hd(X2) != hd(X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_277 ).
cnf(c_0_600,plain,
( tl(cons(X1,nil)) = nil
| ~ ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_588,c_0_557])]) ).
cnf(c_0_601,plain,
( ssList(cons(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_589]),c_0_575]) ).
cnf(c_0_602,plain,
( cons(X1,app(X2,nil)) != nil
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_589]),c_0_547])]),c_0_575]),c_0_591]) ).
cnf(c_0_603,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_592,c_0_589]),c_0_575]),c_0_591]) ).
cnf(c_0_604,negated_conjecture,
app(nil,sk1) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_575]),c_0_547])]) ).
cnf(c_0_605,axiom,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_249 ).
cnf(c_0_606,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_594,c_0_557]),c_0_557])]) ).
cnf(c_0_607,negated_conjecture,
cons(hd(sk4),skaf82(sk4)) = sk4,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_528])]),c_0_542]) ).
cnf(c_0_608,negated_conjecture,
( X1 = nil
| ~ segmentP(sk4,X1)
| ~ segmentP(sk1,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_553]),c_0_547])]) ).
cnf(c_0_609,negated_conjecture,
( segmentP(sk1,cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_561]),c_0_525])]) ).
cnf(c_0_610,plain,
( cons(X1,nil) = nil
| X2 = cons(X1,nil)
| nil = X2
| hd(X2) != hd(cons(X1,nil))
| tl(X2) != nil
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_599,c_0_600]) ).
cnf(c_0_611,plain,
ssList(cons(X1,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_580]),c_0_547])]) ).
cnf(c_0_612,plain,
cons(X1,nil) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_564]),c_0_547])]) ).
cnf(c_0_613,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_526,c_0_557])]) ).
cnf(c_0_614,negated_conjecture,
hd(cons(X1,sk1)) = hd(cons(X1,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_604]),c_0_538]),c_0_547])]) ).
cnf(c_0_615,plain,
( segmentP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_564]),c_0_547])]),c_0_519]) ).
cnf(c_0_616,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_605,c_0_587]),c_0_547])]) ).
cnf(c_0_617,negated_conjecture,
( X1 = hd(sk4)
| cons(X1,X2) != sk4
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_607]),c_0_525])]) ).
cnf(c_0_618,axiom,
( rearsegP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_258 ).
cnf(c_0_619,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_251 ).
cnf(c_0_620,negated_conjecture,
( cons(hd(sk4),nil) = nil
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(spm,[status(thm)],[c_0_608,c_0_609]) ).
cnf(c_0_621,plain,
( X1 = cons(X2,nil)
| nil = X1
| hd(X1) != hd(cons(X2,nil))
| tl(X1) != nil
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_610,c_0_611])]),c_0_612]) ).
cnf(c_0_622,negated_conjecture,
hd(cons(X1,nil)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_614]),c_0_538])]) ).
cnf(c_0_623,negated_conjecture,
( segmentP(sk1,tl(sk4))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_615,c_0_559]) ).
cnf(c_0_624,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_240 ).
cnf(c_0_625,axiom,
ssList(skaf46(X1,X2)),
i_0_308 ).
cnf(c_0_626,plain,
( cons(skaf83(X1),app(skaf82(X1),X2)) = app(X1,X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_523]),c_0_525])]) ).
cnf(c_0_627,negated_conjecture,
app(skaf82(sk4),nil) = skaf82(sk4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_596]),c_0_528])]),c_0_542]) ).
cnf(c_0_628,negated_conjecture,
skaf83(sk4) = hd(sk4),
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(spm,[status(thm)],[c_0_617,c_0_523]),c_0_525])])]),c_0_528])]),c_0_542]) ).
cnf(c_0_629,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_618]),c_0_519]) ).
cnf(c_0_630,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_619,c_0_557])]) ).
cnf(c_0_631,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,cons(hd(sk4),nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_620,c_0_611])]),c_0_612]) ).
cnf(c_0_632,plain,
( cons(hd(X1),nil) = X1
| nil = X1
| tl(X1) != nil
| ~ ssList(X1) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_621,c_0_622])]) ).
cnf(c_0_633,plain,
segmentP(sk4,sk4),
i_0_465 ).
cnf(c_0_634,negated_conjecture,
( tl(sk4) = nil
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_608,c_0_623]) ).
cnf(c_0_635,plain,
( segmentP(app(X1,X2),X3)
| ~ rearsegP(X1,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_624]),c_0_625])]),c_0_519]) ).
cnf(c_0_636,negated_conjecture,
app(sk4,nil) = sk4,
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_626,c_0_627]),c_0_628]),c_0_607]),c_0_547]),c_0_528])]),c_0_542]) ).
cnf(c_0_637,plain,
( rearsegP(cons(X1,X2),X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_630]),c_0_611])]) ).
cnf(c_0_638,negated_conjecture,
( skaf82(sk4) != nil
| ~ neq(sk4,nil)
| ~ neq(nil,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_631,c_0_632]),c_0_633]),c_0_596]),c_0_528])]),c_0_542]) ).
cnf(c_0_639,negated_conjecture,
( skaf82(sk4) = nil
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,skaf82(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_634,c_0_596]),c_0_596]),c_0_596]),c_0_525])]) ).
cnf(c_0_640,negated_conjecture,
( segmentP(sk4,X1)
| ~ rearsegP(sk4,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_636]),c_0_547]),c_0_528])]) ).
cnf(c_0_641,negated_conjecture,
rearsegP(sk4,skaf82(sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_607]),c_0_525])]) ).
cnf(c_0_642,negated_conjecture,
( skaf82(sk4) != nil
| ~ neq(nil,sk4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_566]),c_0_542]) ).
cnf(c_0_643,negated_conjecture,
( skaf82(sk4) = nil
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,skaf82(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_639,c_0_611])]) ).
cnf(c_0_644,negated_conjecture,
segmentP(sk4,skaf82(sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_641]),c_0_525])]) ).
cnf(c_0_645,negated_conjecture,
skaf82(sk4) != nil,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_566]),c_0_542]) ).
cnf(c_0_646,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_643,c_0_644])]),c_0_645]) ).
cnf(c_0_647,negated_conjecture,
~ neq(nil,sk4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_566]),c_0_542]) ).
cnf(c_0_648,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_566]),c_0_542]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC072-1 : 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
% 0.16/0.33 % Computer : n019.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:22:44 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 201.62/119.52 % Version : CSE_E---1.7
% 201.62/119.52 % Problem : theBenchmark.p
% 201.62/119.52 % SZS status Unsatisfiable for theBenchmark.p
% 201.62/119.52 % SZS output start CNFRefutation
% See solution above
% 211.92/129.82 % Total time : 118.048s
%------------------------------------------------------------------------------