%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC087-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 05:18:13 PM UTC 2026
% Result : Unsatisfiable 166.73s 110.45s
% Output : CNFRefutation 174.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_455)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_12,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/sandbox2/benchmark/theBenchmark.p',co1_12) ).
cnf(co1_10,negated_conjecture,
( sk3 = X1
| neq(sk2,nil)
| ~ 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(co1_11,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
cnf(clause159,axiom,
( totalorderedP(cons(X1,X2))
| nil = X2
| ~ leq(X1,hd(X2))
| ~ totalorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause148) ).
cnf(co1_9,negated_conjecture,
( neq(sk2,nil)
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
cnf(clause131,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause171) ).
cnf(clause125,axiom,
( totalorderedP(X2)
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause125) ).
cnf(clause124,axiom,
( strictorderedP(X2)
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause124) ).
cnf(clause151,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(clause150,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(clause133,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause133) ).
cnf(clause138,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(clause130,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause130) ).
cnf(clause126,axiom,
( X2 = X1
| ~ geq(X1,X2)
| ~ geq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause126) ).
cnf(clause129,axiom,
( X2 = X1
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause129) ).
cnf(clause128,axiom,
( X2 = X1
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause128) ).
cnf(clause127,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
cnf(clause144,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(clause110,axiom,
( ~ gt(X1,X2)
| ~ gt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause110) ).
cnf(clause114,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause114) ).
cnf(clause122,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause122) ).
cnf(clause121,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause121) ).
cnf(clause95,axiom,
( totalorderP(X1)
| ~ leq(skaf54(X1),skaf55(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause95) ).
cnf(clause94,axiom,
( totalorderP(X1)
| ~ leq(skaf55(X1),skaf54(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause94) ).
cnf(clause93,axiom,
( strictorderP(X1)
| ~ lt(skaf59(X1),skaf60(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause93) ).
cnf(clause92,axiom,
( strictorderP(X1)
| ~ lt(skaf60(X1),skaf59(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause92) ).
cnf(clause91,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause91) ).
cnf(clause90,axiom,
( strictorderedP(X1)
| ~ lt(skaf69(X1),skaf70(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause90) ).
cnf(clause106,axiom,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause106) ).
cnf(clause105,axiom,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause105) ).
cnf(clause103,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause103) ).
cnf(clause107,axiom,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause107) ).
cnf(clause108,axiom,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause108) ).
cnf(clause123,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(clause113,axiom,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause113) ).
cnf(clause112,axiom,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause177) ).
cnf(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause117,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause117) ).
cnf(clause111,axiom,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause111) ).
cnf(clause115,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(clause116,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(clause88,axiom,
( cyclefreeP(X1)
| leq(skaf49(X1),skaf50(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause88) ).
cnf(clause87,axiom,
( cyclefreeP(X1)
| leq(skaf50(X1),skaf49(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause87) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause104,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause70,axiom,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause70) ).
cnf(clause69,axiom,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause69) ).
cnf(clause68,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause68) ).
cnf(clause67,axiom,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause67) ).
cnf(clause66,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).
cnf(clause65,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause65) ).
cnf(clause64,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause64) ).
cnf(clause101,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(clause145,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause145) ).
cnf(clause102,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause102) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause53,axiom,
ssList(skaf42(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(clause52,axiom,
ssList(skaf43(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause49,axiom,
ssList(skaf47(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause49) ).
cnf(clause48,axiom,
ssList(skaf48(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause48) ).
cnf(clause63,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(co1_8,negated_conjecture,
( neq(sk2,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
cnf(clause84,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(clause82,axiom,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause82) ).
cnf(clause80,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(clause89,axiom,
( equalelemsP(X1)
| skaf79(X1) != skaf78(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause89) ).
cnf(clause83,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause83) ).
cnf(clause81,axiom,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause81) ).
cnf(clause79,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause79) ).
cnf(clause62,axiom,
( leq(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause62) ).
cnf(clause61,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(clause59,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause59) ).
cnf(clause57,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
cnf(clause55,axiom,
( geq(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause55) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause60,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(clause58,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(clause56,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).
cnf(clause78,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(clause76,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
cnf(clause77,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(clause47,axiom,
ssItem(skaf44(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(clause46,axiom,
ssItem(skaf49(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause46) ).
cnf(clause45,axiom,
ssItem(skaf50(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause45) ).
cnf(clause41,axiom,
ssItem(skaf54(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause41) ).
cnf(clause40,axiom,
ssItem(skaf55(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause40) ).
cnf(clause36,axiom,
ssItem(skaf59(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause36) ).
cnf(clause35,axiom,
ssItem(skaf60(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause35) ).
cnf(clause31,axiom,
ssItem(skaf64(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause31) ).
cnf(clause30,axiom,
ssItem(skaf65(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause30) ).
cnf(clause26,axiom,
ssItem(skaf69(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause26) ).
cnf(clause25,axiom,
ssItem(skaf70(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause25) ).
cnf(clause21,axiom,
ssItem(skaf74(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause21) ).
cnf(clause17,axiom,
ssItem(skaf78(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause17) ).
cnf(clause16,axiom,
ssItem(skaf79(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause16) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause44,axiom,
ssList(skaf51(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause44) ).
cnf(clause43,axiom,
ssList(skaf52(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause43) ).
cnf(clause42,axiom,
ssList(skaf53(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause42) ).
cnf(clause39,axiom,
ssList(skaf56(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause39) ).
cnf(clause38,axiom,
ssList(skaf57(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause38) ).
cnf(clause37,axiom,
ssList(skaf58(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause37) ).
cnf(clause34,axiom,
ssList(skaf61(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause34) ).
cnf(clause33,axiom,
ssList(skaf62(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause33) ).
cnf(clause32,axiom,
ssList(skaf63(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause32) ).
cnf(clause29,axiom,
ssList(skaf66(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause29) ).
cnf(clause28,axiom,
ssList(skaf67(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause28) ).
cnf(clause27,axiom,
ssList(skaf68(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause27) ).
cnf(clause24,axiom,
ssList(skaf71(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause24) ).
cnf(clause23,axiom,
ssList(skaf72(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause23) ).
cnf(clause22,axiom,
ssList(skaf73(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause22) ).
cnf(clause20,axiom,
ssList(skaf75(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause20) ).
cnf(clause19,axiom,
ssList(skaf76(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause19) ).
cnf(clause18,axiom,
ssList(skaf77(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause18) ).
cnf(clause15,axiom,
ssList(skaf80(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause15) ).
cnf(clause14,axiom,
ssList(skaf81(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause14) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(clause11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
cnf(clause10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause10) ).
cnf(clause9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause9) ).
cnf(co1_4,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
cnf(co1_3,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause7) ).
cnf(clause6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause6) ).
cnf(clause5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause5) ).
cnf(clause4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause4) ).
cnf(clause3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause3) ).
cnf(clause2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause2) ).
cnf(clause1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause1) ).
cnf(clause54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause54) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(i_0_197,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_12 ).
cnf(i_0_198,negated_conjecture,
( sk3 = X1
| neq(sk2,nil)
| ~ 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) ),
co1_10 ).
cnf(i_0_199,negated_conjecture,
neq(sk2,nil),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(i_0_200,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_201,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_202,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_203,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_204,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_205,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_206,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_207,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_208,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_209,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_210,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_211,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_212,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_213,axiom,
( equalelemsP(X1)
| app(skaf80(X1),cons(skaf78(X1),cons(skaf79(X1),skaf81(X1)))) = X1
| ~ ssList(X1) ),
clause142,
[final] ).
cnf(i_0_214,axiom,
( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause168,
[final] ).
cnf(i_0_215,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
clause169,
[final] ).
cnf(i_0_216,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause174,
[final] ).
cnf(i_0_217,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause172,
[final] ).
cnf(i_0_218,axiom,
( X1 = X3
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause176,
[final] ).
cnf(i_0_219,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_197]),
[final] ).
cnf(i_0_220,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_221,negated_conjecture,
( sk3 = X1
| neq(sk2,nil)
| 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) ),
inference(cn,[status(thm)],[i_0_198]),
[final] ).
cnf(i_0_222,axiom,
( memberP(X2,X3)
| memberP(X1,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
clause158,
[final] ).
cnf(i_0_223,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
clause173,
[final] ).
cnf(i_0_224,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175,
[final] ).
cnf(i_0_225,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161,
[final] ).
cnf(i_0_226,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149,
[final] ).
cnf(i_0_227,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157,
[final] ).
cnf(i_0_228,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1)
| ~ neq(sk4,nil) ),
co1_11,
[final] ).
cnf(i_0_229,axiom,
( totalorderedP(cons(X1,X2))
| nil = X2
| ~ leq(X1,hd(X2))
| ~ totalorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause159,
[final] ).
cnf(i_0_230,axiom,
( strictorderedP(cons(X1,X2))
| nil = X2
| ~ lt(X1,hd(X2))
| ~ strictorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause160,
[final] ).
cnf(i_0_231,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause140,
[final] ).
cnf(i_0_232,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
clause141,
[final] ).
cnf(i_0_233,axiom,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
clause139,
[final] ).
cnf(i_0_234,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause137,
[final] ).
cnf(i_0_235,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause136,
[final] ).
cnf(i_0_236,axiom,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause134,
[final] ).
cnf(i_0_237,axiom,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause135,
[final] ).
cnf(i_0_238,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause146,
[final] ).
cnf(i_0_239,axiom,
( lt(X1,X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause155,
[final] ).
cnf(i_0_240,axiom,
( lt(X1,X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause147,
[final] ).
cnf(i_0_241,axiom,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause156,
[final] ).
cnf(i_0_242,axiom,
( frontsegP(X1,X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause154,
[final] ).
cnf(i_0_243,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause153,
[final] ).
cnf(i_0_244,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause152,
[final] ).
cnf(i_0_245,axiom,
( geq(X1,X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause148,
[final] ).
cnf(i_0_246,negated_conjecture,
( neq(sk2,nil)
| ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1) ),
co1_9,
[final] ).
cnf(i_0_247,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131,
[final] ).
cnf(i_0_248,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132,
[final] ).
cnf(i_0_249,axiom,
( X1 = X3
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause170,
[final] ).
cnf(i_0_250,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171,
[final] ).
cnf(i_0_251,axiom,
( totalorderedP(X2)
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause125,
[final] ).
cnf(i_0_252,axiom,
( strictorderedP(X2)
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause124,
[final] ).
cnf(i_0_253,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151,
[final] ).
cnf(i_0_254,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150,
[final] ).
cnf(i_0_255,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133,
[final] ).
cnf(i_0_256,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause138,
[final] ).
cnf(i_0_257,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120,
[final] ).
cnf(i_0_258,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause130,
[final] ).
cnf(i_0_259,axiom,
( X2 = X1
| ~ geq(X1,X2)
| ~ geq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause126,
[final] ).
cnf(i_0_260,axiom,
( X2 = X1
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause129,
[final] ).
cnf(i_0_261,axiom,
( X2 = X1
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause128,
[final] ).
cnf(i_0_262,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause127,
[final] ).
cnf(i_0_263,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause144,
[final] ).
cnf(i_0_264,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause143,
[final] ).
cnf(i_0_265,axiom,
( ~ gt(X1,X2)
| ~ gt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause110,
[final] ).
cnf(i_0_266,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause114,
[final] ).
cnf(i_0_267,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause122,
[final] ).
cnf(i_0_268,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause121,
[final] ).
cnf(i_0_269,axiom,
( totalorderP(X1)
| ~ leq(skaf54(X1),skaf55(X1))
| ~ ssList(X1) ),
clause95,
[final] ).
cnf(i_0_270,axiom,
( totalorderP(X1)
| ~ leq(skaf55(X1),skaf54(X1))
| ~ ssList(X1) ),
clause94,
[final] ).
cnf(i_0_271,axiom,
( strictorderP(X1)
| ~ lt(skaf59(X1),skaf60(X1))
| ~ ssList(X1) ),
clause93,
[final] ).
cnf(i_0_272,axiom,
( strictorderP(X1)
| ~ lt(skaf60(X1),skaf59(X1))
| ~ ssList(X1) ),
clause92,
[final] ).
cnf(i_0_273,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
clause91,
[final] ).
cnf(i_0_274,axiom,
( strictorderedP(X1)
| ~ lt(skaf69(X1),skaf70(X1))
| ~ ssList(X1) ),
clause90,
[final] ).
cnf(i_0_275,axiom,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause106,
[final] ).
cnf(i_0_276,axiom,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause105,
[final] ).
cnf(i_0_277,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause103,
[final] ).
cnf(i_0_278,axiom,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause107,
[final] ).
cnf(i_0_279,axiom,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause108,
[final] ).
cnf(i_0_280,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause123,
[final] ).
cnf(i_0_281,axiom,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause113,
[final] ).
cnf(i_0_282,axiom,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause112,
[final] ).
cnf(i_0_283,axiom,
( nil = X2
| X1 = X2
| nil = X1
| tl(X1) != tl(X2)
| hd(X1) != hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause177,
[final] ).
cnf(i_0_284,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97,
[final] ).
cnf(i_0_285,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96,
[final] ).
cnf(i_0_286,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85,
[final] ).
cnf(i_0_287,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86,
[final] ).
cnf(i_0_288,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause117,
[final] ).
cnf(i_0_289,axiom,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause111,
[final] ).
cnf(i_0_290,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause115,
[final] ).
cnf(i_0_291,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116,
[final] ).
cnf(i_0_292,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118,
[final] ).
cnf(i_0_293,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119,
[final] ).
cnf(i_0_294,axiom,
( cyclefreeP(X1)
| leq(skaf49(X1),skaf50(X1))
| ~ ssList(X1) ),
clause88,
[final] ).
cnf(i_0_295,axiom,
( cyclefreeP(X1)
| leq(skaf50(X1),skaf49(X1))
| ~ ssList(X1) ),
clause87,
[final] ).
cnf(i_0_296,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99,
[final] ).
cnf(i_0_297,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98,
[final] ).
cnf(i_0_298,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104,
[final] ).
cnf(i_0_299,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109,
[final] ).
cnf(i_0_300,axiom,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause70,
[final] ).
cnf(i_0_301,axiom,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause69,
[final] ).
cnf(i_0_302,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause68,
[final] ).
cnf(i_0_303,axiom,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause67,
[final] ).
cnf(i_0_304,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause66,
[final] ).
cnf(i_0_305,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause65,
[final] ).
cnf(i_0_306,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
clause64,
[final] ).
cnf(i_0_307,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101,
[final] ).
cnf(i_0_308,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
clause145,
[final] ).
cnf(i_0_309,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause102,
[final] ).
cnf(i_0_310,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100,
[final] ).
cnf(i_0_311,axiom,
ssList(skaf42(X1,X2)),
clause53,
[final] ).
cnf(i_0_312,axiom,
ssList(skaf43(X1,X2)),
clause52,
[final] ).
cnf(i_0_313,axiom,
ssList(skaf45(X1,X2)),
clause51,
[final] ).
cnf(i_0_314,axiom,
ssList(skaf46(X1,X2)),
clause50,
[final] ).
cnf(i_0_315,axiom,
ssList(skaf47(X1,X2)),
clause49,
[final] ).
cnf(i_0_316,axiom,
ssList(skaf48(X1,X2)),
clause48,
[final] ).
cnf(i_0_317,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
clause63,
[final] ).
cnf(i_0_318,negated_conjecture,
( neq(sk2,nil)
| ~ neq(sk4,nil) ),
co1_8,
[final] ).
cnf(i_0_319,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
clause84,
[final] ).
cnf(i_0_320,axiom,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
clause82,
[final] ).
cnf(i_0_321,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
clause80,
[final] ).
cnf(i_0_322,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71,
[final] ).
cnf(i_0_323,axiom,
( equalelemsP(X1)
| skaf79(X1) != skaf78(X1)
| ~ ssList(X1) ),
clause89,
[final] ).
cnf(i_0_324,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause83,
[final] ).
cnf(i_0_325,axiom,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause81,
[final] ).
cnf(i_0_326,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause79,
[final] ).
cnf(i_0_327,axiom,
( leq(X1,X1)
| ~ ssItem(X1) ),
clause62,
[final] ).
cnf(i_0_328,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
clause61,
[final] ).
cnf(i_0_329,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
clause59,
[final] ).
cnf(i_0_330,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
clause57,
[final] ).
cnf(i_0_331,axiom,
( geq(X1,X1)
| ~ ssItem(X1) ),
clause55,
[final] ).
cnf(i_0_332,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74,
[final] ).
cnf(i_0_333,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73,
[final] ).
cnf(i_0_334,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
clause60,
[final] ).
cnf(i_0_335,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
clause58,
[final] ).
cnf(i_0_336,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
clause56,
[final] ).
cnf(i_0_337,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause78,
[final] ).
cnf(i_0_338,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76,
[final] ).
cnf(i_0_339,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause77,
[final] ).
cnf(i_0_340,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75,
[final] ).
cnf(i_0_341,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72,
[final] ).
cnf(i_0_342,negated_conjecture,
neq(sk2,nil),
c_0_199,
[final] ).
cnf(i_0_343,axiom,
ssItem(skaf44(X1)),
clause47,
[final] ).
cnf(i_0_344,axiom,
ssItem(skaf49(X1)),
clause46,
[final] ).
cnf(i_0_345,axiom,
ssItem(skaf50(X1)),
clause45,
[final] ).
cnf(i_0_346,axiom,
ssItem(skaf54(X1)),
clause41,
[final] ).
cnf(i_0_347,axiom,
ssItem(skaf55(X1)),
clause40,
[final] ).
cnf(i_0_348,axiom,
ssItem(skaf59(X1)),
clause36,
[final] ).
cnf(i_0_349,axiom,
ssItem(skaf60(X1)),
clause35,
[final] ).
cnf(i_0_350,axiom,
ssItem(skaf64(X1)),
clause31,
[final] ).
cnf(i_0_351,axiom,
ssItem(skaf65(X1)),
clause30,
[final] ).
cnf(i_0_352,axiom,
ssItem(skaf69(X1)),
clause26,
[final] ).
cnf(i_0_353,axiom,
ssItem(skaf70(X1)),
clause25,
[final] ).
cnf(i_0_354,axiom,
ssItem(skaf74(X1)),
clause21,
[final] ).
cnf(i_0_355,axiom,
ssItem(skaf78(X1)),
clause17,
[final] ).
cnf(i_0_356,axiom,
ssItem(skaf79(X1)),
clause16,
[final] ).
cnf(i_0_357,axiom,
ssItem(skaf83(X1)),
clause12,
[final] ).
cnf(i_0_358,axiom,
ssList(skaf51(X1)),
clause44,
[final] ).
cnf(i_0_359,axiom,
ssList(skaf52(X1)),
clause43,
[final] ).
cnf(i_0_360,axiom,
ssList(skaf53(X1)),
clause42,
[final] ).
cnf(i_0_361,axiom,
ssList(skaf56(X1)),
clause39,
[final] ).
cnf(i_0_362,axiom,
ssList(skaf57(X1)),
clause38,
[final] ).
cnf(i_0_363,axiom,
ssList(skaf58(X1)),
clause37,
[final] ).
cnf(i_0_364,axiom,
ssList(skaf61(X1)),
clause34,
[final] ).
cnf(i_0_365,axiom,
ssList(skaf62(X1)),
clause33,
[final] ).
cnf(i_0_366,axiom,
ssList(skaf63(X1)),
clause32,
[final] ).
cnf(i_0_367,axiom,
ssList(skaf66(X1)),
clause29,
[final] ).
cnf(i_0_368,axiom,
ssList(skaf67(X1)),
clause28,
[final] ).
cnf(i_0_369,axiom,
ssList(skaf68(X1)),
clause27,
[final] ).
cnf(i_0_370,axiom,
ssList(skaf71(X1)),
clause24,
[final] ).
cnf(i_0_371,axiom,
ssList(skaf72(X1)),
clause23,
[final] ).
cnf(i_0_372,axiom,
ssList(skaf73(X1)),
clause22,
[final] ).
cnf(i_0_373,axiom,
ssList(skaf75(X1)),
clause20,
[final] ).
cnf(i_0_374,axiom,
ssList(skaf76(X1)),
clause19,
[final] ).
cnf(i_0_375,axiom,
ssList(skaf77(X1)),
clause18,
[final] ).
cnf(i_0_376,axiom,
ssList(skaf80(X1)),
clause15,
[final] ).
cnf(i_0_377,axiom,
ssList(skaf81(X1)),
clause14,
[final] ).
cnf(i_0_378,axiom,
ssList(skaf82(X1)),
clause13,
[final] ).
cnf(i_0_379,axiom,
~ singletonP(nil),
clause11,
[final] ).
cnf(i_0_380,axiom,
ssItem(skac2),
clause10,
[final] ).
cnf(i_0_381,axiom,
ssItem(skac3),
clause9,
[final] ).
cnf(i_0_382,negated_conjecture,
ssList(sk4),
co1_4,
[final] ).
cnf(i_0_383,negated_conjecture,
ssList(sk3),
co1_3,
[final] ).
cnf(i_0_384,negated_conjecture,
ssList(sk2),
co1_2,
[final] ).
cnf(i_0_385,negated_conjecture,
ssList(sk1),
co1_1,
[final] ).
cnf(i_0_386,axiom,
ssList(nil),
clause8,
[final] ).
cnf(i_0_387,axiom,
cyclefreeP(nil),
clause7,
[final] ).
cnf(i_0_388,axiom,
totalorderP(nil),
clause6,
[final] ).
cnf(i_0_389,axiom,
strictorderP(nil),
clause5,
[final] ).
cnf(i_0_390,axiom,
totalorderedP(nil),
clause4,
[final] ).
cnf(i_0_391,axiom,
strictorderedP(nil),
clause3,
[final] ).
cnf(i_0_392,axiom,
duplicatefreeP(nil),
clause2,
[final] ).
cnf(i_0_393,axiom,
equalelemsP(nil),
clause1,
[final] ).
cnf(i_0_394,axiom,
skac3 != skac2,
clause54,
[final] ).
cnf(i_0_395,negated_conjecture,
sk2 = sk4,
co1_5,
[final] ).
cnf(i_0_396,negated_conjecture,
sk1 = sk3,
co1_6,
[final] ).
cnf(i_0_397,axiom,
X1 = X1 ).
cnf(i_0_398,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_399,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_400,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| skaf78(X1) = skaf78(X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| skaf79(X1) = skaf79(X2) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_432,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_433,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_434,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_435,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_1886,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_1895,plain,
ssList(skaf47(X1,X2)),
inference(rename_variables,[],[i_0_315]) ).
cnf(i_0_1903,plain,
ssList(skaf45(X1,X2)),
inference(rename_variables,[],[i_0_313]) ).
cnf(i_0_1912,plain,
ssList(skaf51(X1)),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_1923,plain,
ssList(skaf66(X1)),
inference(rename_variables,[],[i_0_367]) ).
cnf(i_0_1932,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_1941,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_1950,plain,
ssList(skaf71(X1)),
inference(rename_variables,[],[i_0_370]) ).
cnf(i_0_1959,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_1968,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_1977,plain,
ssList(skaf52(X1)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_1986,plain,
ssList(skaf53(X1)),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_1995,plain,
ssList(skaf56(X1)),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_2004,plain,
ssList(skaf57(X1)),
inference(rename_variables,[],[i_0_362]) ).
cnf(i_0_2011,plain,
ssList(skaf58(X1)),
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_2018,plain,
ssList(skaf61(X1)),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_2025,plain,
ssList(skaf62(X1)),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_2032,plain,
ssList(skaf63(X1)),
inference(rename_variables,[],[i_0_366]) ).
cnf(i_0_2039,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_2046,plain,
ssList(skaf81(X1)),
inference(rename_variables,[],[i_0_377]) ).
cnf(i_0_2053,plain,
ssList(skaf75(X1)),
inference(rename_variables,[],[i_0_373]) ).
cnf(i_0_2060,plain,
ssList(skaf80(X1)),
inference(rename_variables,[],[i_0_376]) ).
cnf(i_0_2067,plain,
ssList(skaf82(X1)),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_2073,plain,
ssList(skaf46(X1,X2)),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_2079,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_2088,plain,
ssList(skaf43(X1,X2)),
inference(rename_variables,[],[i_0_312]) ).
cnf(i_0_2094,plain,
ssList(skaf73(X1)),
inference(rename_variables,[],[i_0_372]) ).
cnf(i_0_2101,plain,
ssList(skaf48(X1,X2)),
inference(rename_variables,[],[i_0_316]) ).
cnf(i_0_2107,plain,
ssList(skaf45(X1,X2)),
inference(rename_variables,[],[i_0_313]) ).
cnf(i_0_2113,plain,
ssList(skaf51(X1)),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_2119,plain,
ssList(skaf66(X1)),
inference(rename_variables,[],[i_0_367]) ).
cnf(i_0_2125,plain,
ssList(skaf47(X1,X2)),
inference(rename_variables,[],[i_0_315]) ).
cnf(i_0_2132,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_2138,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2144,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_2150,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_2156,plain,
ssList(skaf52(X1)),
inference(rename_variables,[],[i_0_359]) ).
cnf(i_0_2163,plain,
ssList(skaf56(X1)),
inference(rename_variables,[],[i_0_361]) ).
cnf(i_0_2169,plain,
ssList(skaf58(X1)),
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_2175,plain,
ssList(skaf57(X1)),
inference(rename_variables,[],[i_0_362]) ).
cnf(i_0_2181,plain,
ssList(skaf63(X1)),
inference(rename_variables,[],[i_0_366]) ).
cnf(i_0_2188,plain,
ssList(skaf62(X1)),
inference(rename_variables,[],[i_0_365]) ).
cnf(i_0_2195,plain,
ssList(skaf71(X1)),
inference(rename_variables,[],[i_0_370]) ).
cnf(i_0_2201,plain,
ssList(skaf61(X1)),
inference(rename_variables,[],[i_0_364]) ).
cnf(i_0_2207,plain,
ssList(skaf75(X1)),
inference(rename_variables,[],[i_0_373]) ).
cnf(i_0_2214,plain,
ssList(skaf53(X1)),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_2221,plain,
ssList(skaf81(X1)),
inference(rename_variables,[],[i_0_377]) ).
cnf(i_0_2228,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_2235,plain,
ssList(skaf66(X1)),
inference(rename_variables,[],[i_0_367]) ).
cnf(i_0_2242,plain,
ssList(skaf82(X1)),
inference(rename_variables,[],[i_0_378]) ).
cnf(i_0_2249,plain,
ssList(skaf80(X1)),
inference(rename_variables,[],[i_0_376]) ).
cnf(i_0_2352,plain,
ssItem(skaf69(X1)),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_2397,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_2402,plain,
ssItem(skaf65(X1)),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_2403,plain,
ssItem(skaf65(X1)),
inference(rename_variables,[],[i_0_351]) ).
cnf(i_0_2419,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_2422,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_2425,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_2428,plain,
ssList(skaf42(X1,X2)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_2537,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_2551,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_2571,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_2582,plain,
ssList(skaf67(X1)),
inference(rename_variables,[],[i_0_368]) ).
cnf(i_0_2683,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2686,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2697,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2708,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2711,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2728,plain,
ssList(skaf68(X1)),
inference(rename_variables,[],[i_0_369]) ).
cnf(i_0_2839,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_2846,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_2851,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_2858,plain,
ssItem(skaf78(X1)),
inference(rename_variables,[],[i_0_355]) ).
cnf(i_0_2863,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_2866,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_2874,plain,
ssList(skaf76(X1)),
inference(rename_variables,[],[i_0_374]) ).
cnf(i_0_2954,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_2961,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_2970,plain,
ssItem(skaf79(X1)),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_2973,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_2976,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_2979,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_2984,plain,
ssList(skaf77(X1)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_2992,plain,
~ memberP(nil,skaf69(X1)),
inference(scs_inference,[],[i_0_352,i_0_322]) ).
cnf(i_0_3072,plain,
ssList(skaf46(X1,X2)),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_3075,plain,
ssList(skaf46(X1,X2)),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_3080,plain,
ssList(skaf46(X1,X2)),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_3087,plain,
ssItem(skaf69(X1)),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_3088,plain,
ssItem(skaf69(X1)),
inference(rename_variables,[],[i_0_352]) ).
cnf(i_0_3096,plain,
~ memberP(nil,skaf78(X1)),
inference(scs_inference,[],[i_0_355,i_0_322]) ).
cnf(i_0_3182,plain,
ssItem(skaf64(X1)),
inference(rename_variables,[],[i_0_350]) ).
cnf(i_0_3188,plain,
ssList(skaf51(X1)),
inference(rename_variables,[],[i_0_358]) ).
cnf(i_0_3204,plain,
~ memberP(nil,skaf83(X1)),
inference(scs_inference,[],[i_0_357,i_0_322]) ).
cnf(i_0_3276,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_3281,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_3286,plain,
ssList(skaf72(X1)),
inference(rename_variables,[],[i_0_371]) ).
cnf(i_0_3289,plain,
ssItem(skaf83(X1)),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_475,plain,
~ neq(skac2,skac2),
inference(scs_inference,[],[i_0_382,i_0_395,i_0_380,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455]) ).
cnf(i_0_477,plain,
~ neq(sk4,sk4),
inference(scs_inference,[],[i_0_382,i_0_395,i_0_380,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455,i_0_457]) ).
cnf(i_0_479,plain,
~ neq(sk2,sk4),
inference(scs_inference,[],[i_0_382,i_0_395,i_0_380,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455,i_0_457,i_0_418]) ).
cnf(i_0_480,plain,
~ neq(sk4,sk2),
inference(scs_inference,[],[i_0_382,i_0_395,i_0_380,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455,i_0_457,i_0_418,i_0_419]) ).
cnf(i_0_481,plain,
sk2 != nil,
inference(scs_inference,[],[i_0_342,i_0_382,i_0_384,i_0_395,i_0_380,i_0_386,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455,i_0_457,i_0_418,i_0_419,i_0_290]) ).
cnf(i_0_483,plain,
memberP(cons(skac2,sk4),skac2),
inference(scs_inference,[],[i_0_342,i_0_382,i_0_384,i_0_395,i_0_380,i_0_386,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455,i_0_457,i_0_418,i_0_419,i_0_290,i_0_450]) ).
cnf(i_0_485,plain,
neq(skac3,skac2),
inference(scs_inference,[],[i_0_342,i_0_382,i_0_384,i_0_395,i_0_380,i_0_381,i_0_386,i_0_394,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455,i_0_457,i_0_418,i_0_419,i_0_290,i_0_450,i_0_309]) ).
cnf(i_0_487,plain,
frontsegP(cons(skac2,sk4),cons(skac2,sk4)),
inference(scs_inference,[],[i_0_342,i_0_382,i_0_384,i_0_395,i_0_380,i_0_381,i_0_386,i_0_394,i_0_398,i_0_317,i_0_327,i_0_328,i_0_329,i_0_330,i_0_331,i_0_455,i_0_457,i_0_418,i_0_419,i_0_290,i_0_450,i_0_309,i_0_443]) ).
cnf(i_0_518,plain,
~ neq(skaf44(X1),skaf44(X1)),
inference(scs_inference,[],[i_0_385,i_0_396,i_0_343,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_398,i_0_455]) ).
cnf(i_0_520,plain,
~ neq(sk1,sk1),
inference(scs_inference,[],[i_0_385,i_0_396,i_0_343,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_398,i_0_455,i_0_457]) ).
cnf(i_0_552,plain,
~ neq(skaf49(X1),skaf49(X1)),
inference(scs_inference,[],[i_0_384,i_0_344,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_455]) ).
cnf(i_0_554,plain,
~ neq(sk3,sk3),
inference(scs_inference,[],[i_0_384,i_0_383,i_0_344,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_455,i_0_457]) ).
cnf(i_0_585,plain,
~ neq(skaf50(X1),skaf50(X1)),
inference(scs_inference,[],[i_0_383,i_0_345,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_455]) ).
cnf(i_0_587,plain,
~ neq(nil,nil),
inference(scs_inference,[],[i_0_383,i_0_386,i_0_345,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_455,i_0_457]) ).
cnf(i_0_589,plain,
memberP(cons(skaf50(X1),sk4),skaf50(X1)),
inference(scs_inference,[],[i_0_382,i_0_383,i_0_386,i_0_345,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_591,plain,
frontsegP(cons(skaf50(X1),sk4),cons(skaf50(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_383,i_0_386,i_0_345,i_0_467,i_0_317,i_0_328,i_0_329,i_0_330,i_0_327,i_0_331,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_617,plain,
~ neq(skaf54(X1),skaf54(X1)),
inference(scs_inference,[],[i_0_386,i_0_346,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_619,plain,
~ neq(skaf42(X1,X2),skaf42(X1,X2)),
inference(scs_inference,[],[i_0_386,i_0_311,i_0_346,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_621,plain,
memberP(cons(skaf54(X1),sk4),skaf54(X1)),
inference(scs_inference,[],[i_0_382,i_0_386,i_0_311,i_0_346,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_623,plain,
frontsegP(cons(skaf54(X1),sk4),cons(skaf54(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_386,i_0_311,i_0_346,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_649,plain,
~ neq(skaf55(X1),skaf55(X1)),
inference(scs_inference,[],[i_0_312,i_0_347,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_651,plain,
~ neq(skaf43(X1,X2),skaf43(X1,X2)),
inference(scs_inference,[],[i_0_312,i_0_347,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_653,plain,
memberP(cons(skaf55(X1),sk4),skaf55(X1)),
inference(scs_inference,[],[i_0_382,i_0_312,i_0_347,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_655,plain,
frontsegP(cons(skaf55(X1),sk4),cons(skaf55(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_312,i_0_347,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_681,plain,
~ neq(skaf59(X1),skaf59(X1)),
inference(scs_inference,[],[i_0_313,i_0_348,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_683,plain,
~ neq(skaf45(X1,X2),skaf45(X1,X2)),
inference(scs_inference,[],[i_0_313,i_0_348,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_685,plain,
memberP(cons(skaf59(X1),sk4),skaf59(X1)),
inference(scs_inference,[],[i_0_382,i_0_313,i_0_348,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_687,plain,
frontsegP(cons(skaf59(X1),sk4),cons(skaf59(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_313,i_0_348,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_713,plain,
~ neq(skaf60(X1),skaf60(X1)),
inference(scs_inference,[],[i_0_314,i_0_349,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_715,plain,
~ neq(skaf46(X1,X2),skaf46(X1,X2)),
inference(scs_inference,[],[i_0_314,i_0_349,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_717,plain,
memberP(cons(skaf60(X1),sk4),skaf60(X1)),
inference(scs_inference,[],[i_0_382,i_0_314,i_0_349,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_719,plain,
frontsegP(cons(skaf60(X1),sk4),cons(skaf60(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_314,i_0_349,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_745,plain,
~ neq(skaf64(X1),skaf64(X1)),
inference(scs_inference,[],[i_0_315,i_0_350,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_747,plain,
~ neq(skaf47(X1,X2),skaf47(X1,X2)),
inference(scs_inference,[],[i_0_315,i_0_350,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_749,plain,
memberP(cons(skaf64(X1),sk4),skaf64(X1)),
inference(scs_inference,[],[i_0_382,i_0_315,i_0_350,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_751,plain,
frontsegP(cons(skaf64(X1),sk4),cons(skaf64(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_315,i_0_350,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_777,plain,
~ neq(skaf65(X1),skaf65(X1)),
inference(scs_inference,[],[i_0_316,i_0_351,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_779,plain,
~ neq(skaf48(X1,X2),skaf48(X1,X2)),
inference(scs_inference,[],[i_0_316,i_0_351,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_781,plain,
memberP(cons(skaf65(X1),sk4),skaf65(X1)),
inference(scs_inference,[],[i_0_382,i_0_316,i_0_351,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_783,plain,
frontsegP(cons(skaf65(X1),sk4),cons(skaf65(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_316,i_0_351,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_809,plain,
~ neq(skaf69(X1),skaf69(X1)),
inference(scs_inference,[],[i_0_352,i_0_358,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_811,plain,
~ neq(skaf51(X1),skaf51(X1)),
inference(scs_inference,[],[i_0_352,i_0_358,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_813,plain,
memberP(cons(skaf69(X1),sk4),skaf69(X1)),
inference(scs_inference,[],[i_0_382,i_0_352,i_0_358,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_815,plain,
frontsegP(cons(skaf69(X1),sk4),cons(skaf69(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_352,i_0_358,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_841,plain,
~ neq(skaf70(X1),skaf70(X1)),
inference(scs_inference,[],[i_0_353,i_0_359,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_843,plain,
~ neq(skaf52(X1),skaf52(X1)),
inference(scs_inference,[],[i_0_353,i_0_359,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_845,plain,
memberP(cons(skaf70(X1),sk4),skaf70(X1)),
inference(scs_inference,[],[i_0_382,i_0_353,i_0_359,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_847,plain,
frontsegP(cons(skaf70(X1),sk4),cons(skaf70(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_353,i_0_359,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_873,plain,
~ neq(skaf74(X1),skaf74(X1)),
inference(scs_inference,[],[i_0_354,i_0_360,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_875,plain,
~ neq(skaf53(X1),skaf53(X1)),
inference(scs_inference,[],[i_0_354,i_0_360,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_877,plain,
memberP(cons(skaf74(X1),sk4),skaf74(X1)),
inference(scs_inference,[],[i_0_382,i_0_354,i_0_360,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_879,plain,
frontsegP(cons(skaf74(X1),sk4),cons(skaf74(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_354,i_0_360,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_905,plain,
~ neq(skaf78(X1),skaf78(X1)),
inference(scs_inference,[],[i_0_355,i_0_361,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_907,plain,
~ neq(skaf56(X1),skaf56(X1)),
inference(scs_inference,[],[i_0_355,i_0_361,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_909,plain,
memberP(cons(skaf78(X1),sk4),skaf78(X1)),
inference(scs_inference,[],[i_0_382,i_0_355,i_0_361,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_911,plain,
frontsegP(cons(skaf78(X1),sk4),cons(skaf78(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_355,i_0_361,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_937,plain,
~ neq(skaf79(X1),skaf79(X1)),
inference(scs_inference,[],[i_0_356,i_0_362,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_939,plain,
~ neq(skaf57(X1),skaf57(X1)),
inference(scs_inference,[],[i_0_356,i_0_362,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_941,plain,
memberP(cons(skaf79(X1),sk4),skaf79(X1)),
inference(scs_inference,[],[i_0_382,i_0_356,i_0_362,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_943,plain,
frontsegP(cons(skaf79(X1),sk4),cons(skaf79(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_356,i_0_362,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_969,plain,
~ neq(skaf83(X1),skaf83(X1)),
inference(scs_inference,[],[i_0_357,i_0_363,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_971,plain,
~ neq(skaf58(X1),skaf58(X1)),
inference(scs_inference,[],[i_0_357,i_0_363,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_973,plain,
memberP(cons(skaf83(X1),sk4),skaf83(X1)),
inference(scs_inference,[],[i_0_382,i_0_357,i_0_363,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450]) ).
cnf(i_0_975,plain,
frontsegP(cons(skaf83(X1),sk4),cons(skaf83(X1),sk4)),
inference(scs_inference,[],[i_0_382,i_0_357,i_0_363,i_0_467,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457,i_0_450,i_0_443]) ).
cnf(i_0_1001,plain,
~ neq(skac3,skac3),
inference(scs_inference,[],[i_0_364,i_0_381,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455]) ).
cnf(i_0_1003,plain,
~ neq(skaf61(X1),skaf61(X1)),
inference(scs_inference,[],[i_0_364,i_0_381,i_0_317,i_0_327,i_0_331,i_0_328,i_0_329,i_0_330,i_0_455,i_0_457]) ).
cnf(i_0_1030,plain,
~ neq(skaf62(X1),skaf62(X1)),
inference(scs_inference,[],[i_0_365,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1032,plain,
frontsegP(cons(skaf49(X1),sk2),cons(skaf49(X1),sk2)),
inference(scs_inference,[],[i_0_384,i_0_542,i_0_365,i_0_344,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1049,plain,
~ neq(skaf63(X1),skaf63(X1)),
inference(scs_inference,[],[i_0_366,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1051,plain,
frontsegP(cons(skaf64(X1),sk1),cons(skaf64(X1),sk1)),
inference(scs_inference,[],[i_0_385,i_0_350,i_0_507,i_0_366,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1068,plain,
~ neq(skaf66(X1),skaf66(X1)),
inference(scs_inference,[],[i_0_367,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1070,plain,
frontsegP(cons(skaf79(X1),sk2),cons(skaf79(X1),sk2)),
inference(scs_inference,[],[i_0_384,i_0_356,i_0_367,i_0_542,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1087,plain,
~ neq(skaf67(X1),skaf67(X1)),
inference(scs_inference,[],[i_0_368,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1089,plain,
frontsegP(cons(skaf44(X1),sk1),cons(skaf44(X1),sk1)),
inference(scs_inference,[],[i_0_385,i_0_343,i_0_368,i_0_507,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1106,plain,
~ neq(skaf68(X1),skaf68(X1)),
inference(scs_inference,[],[i_0_369,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1108,plain,
frontsegP(cons(skaf49(X1),sk1),cons(skaf49(X1),sk1)),
inference(scs_inference,[],[i_0_385,i_0_344,i_0_369,i_0_507,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1125,plain,
~ neq(skaf71(X1),skaf71(X1)),
inference(scs_inference,[],[i_0_370,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1127,plain,
frontsegP(cons(skaf50(X1),sk2),cons(skaf50(X1),sk2)),
inference(scs_inference,[],[i_0_384,i_0_345,i_0_370,i_0_542,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1144,plain,
~ neq(skaf72(X1),skaf72(X1)),
inference(scs_inference,[],[i_0_371,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1146,plain,
frontsegP(cons(skaf54(X1),sk2),cons(skaf54(X1),sk2)),
inference(scs_inference,[],[i_0_384,i_0_346,i_0_371,i_0_542,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1163,plain,
~ neq(skaf73(X1),skaf73(X1)),
inference(scs_inference,[],[i_0_372,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(i_0_1165,plain,
frontsegP(cons(skaf55(X1),sk1),cons(skaf55(X1),sk1)),
inference(scs_inference,[],[i_0_385,i_0_347,i_0_372,i_0_507,i_0_328,i_0_329,i_0_330,i_0_457,i_0_443]) ).
cnf(i_0_1182,plain,
~ neq(skaf75(X1),skaf75(X1)),
inference(scs_inference,[],[i_0_373,i_0_328,i_0_329,i_0_330,i_0_457]) ).
cnf(c_0_1030,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_205 ).
cnf(c_0_1031,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
i_0_341 ).
cnf(c_0_1032,axiom,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_286 ).
cnf(c_0_1033,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_1030]) ).
cnf(c_0_1034,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
i_0_215 ).
cnf(c_0_1035,axiom,
ssList(skaf43(X1,X2)),
i_0_312 ).
cnf(c_0_1036,axiom,
ssList(skaf42(X1,X2)),
i_0_311 ).
cnf(c_0_1037,plain,
( duplicatefreeP(app(X1,X2))
| ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_1031,c_0_1032]) ).
cnf(c_0_1038,negated_conjecture,
ssList(sk4),
i_0_382 ).
cnf(c_0_1039,negated_conjecture,
ssList(sk3),
i_0_383 ).
cnf(c_0_1040,negated_conjecture,
sk1 = sk3,
i_0_396 ).
cnf(c_0_1041,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_1033,c_0_1034]),c_0_1035]),c_0_1036])]) ).
cnf(c_0_1042,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
i_0_299 ).
cnf(c_0_1043,axiom,
ssItem(skaf83(X1)),
i_0_357 ).
cnf(c_0_1044,axiom,
ssList(skaf82(X1)),
i_0_378 ).
cnf(c_0_1045,negated_conjecture,
( duplicatefreeP(app(X1,sk4))
| ssItem(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_1037,c_0_1038]) ).
cnf(c_0_1046,negated_conjecture,
ssList(sk1),
inference(rw,[status(thm)],[c_0_1039,c_0_1040]) ).
cnf(c_0_1047,plain,
sk2 != nil,
i_0_481 ).
cnf(c_0_1048,negated_conjecture,
sk2 = sk4,
i_0_395 ).
cnf(c_0_1049,negated_conjecture,
neq(sk2,nil),
i_0_342 ).
cnf(c_0_1050,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_1041,c_0_1042]),c_0_1043]),c_0_1044])]),c_0_1032]) ).
cnf(c_0_1051,negated_conjecture,
( duplicatefreeP(app(sk1,sk4))
| ssItem(X1) ),
inference(spm,[status(thm)],[c_0_1045,c_0_1046]) ).
cnf(c_0_1052,plain,
sk4 != nil,
inference(rw,[status(thm)],[c_0_1047,c_0_1048]) ).
cnf(c_0_1053,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_284 ).
cnf(c_0_1054,axiom,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssList(X1) ),
i_0_224 ).
cnf(c_0_1055,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_219 ).
cnf(c_0_1056,negated_conjecture,
neq(sk4,nil),
inference(rw,[status(thm)],[c_0_1049,c_0_1048]) ).
cnf(c_0_1057,negated_conjecture,
( ssItem(X1)
| ~ memberP(sk1,skaf83(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1050,c_0_1051]),c_0_1046]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1058,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_1053,c_0_1042]),c_0_1043]),c_0_1044])]) ).
cnf(c_0_1059,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_1054]) ).
cnf(c_0_1060,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = sk1
| ~ 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1055,c_0_1040]),c_0_1056])])])])])]),c_0_1032]) ).
cnf(c_0_1061,axiom,
ssList(nil),
i_0_386 ).
cnf(c_0_1062,negated_conjecture,
( ssItem(X1)
| ~ memberP(sk1,hd(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1057,c_0_1058]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1063,negated_conjecture,
( memberP(sk1,hd(sk4))
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1059,c_0_1060]),c_0_1046]),c_0_1061])]) ).
cnf(c_0_1064,negated_conjecture,
( ssItem(X1)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_1062,c_0_1063]) ).
cnf(c_0_1065,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_287 ).
cnf(c_0_1066,negated_conjecture,
( ssItem(X1)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_1065]),c_0_1061])]) ).
cnf(c_0_1067,axiom,
( neq(X1,X2)
| X1 = X2
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_310 ).
cnf(c_0_1068,negated_conjecture,
( ssItem(X1)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1066,c_0_1067]),c_0_1038]),c_0_1061])]),c_0_1052]) ).
cnf(c_0_1069,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
i_0_337 ).
cnf(c_0_1070,negated_conjecture,
( ssItem(X1)
| ~ ssList(tl(sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1068,c_0_1069]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1071,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
i_0_339 ).
cnf(c_0_1072,axiom,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_226 ).
cnf(c_0_1073,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_332 ).
cnf(c_0_1074,negated_conjecture,
ssItem(X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_1071]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1075,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_227 ).
cnf(c_0_1076,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_257 ).
cnf(c_0_1077,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_1072,c_0_1073]),c_0_1061])]) ).
cnf(c_0_1078,negated_conjecture,
( app(tl(sk4),cons(hd(sk4),nil)) = sk1
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1060,c_0_1074])]) ).
cnf(c_0_1079,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_285 ).
cnf(c_0_1080,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
i_0_307 ).
cnf(c_0_1081,axiom,
ssItem(skaf44(X1)),
i_0_343 ).
cnf(c_0_1082,axiom,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssItem(X2)
| ~ ssList(X1) ),
i_0_291 ).
cnf(c_0_1083,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_296 ).
cnf(c_0_1084,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_1075,c_0_1074])]) ).
cnf(c_0_1085,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1076,c_0_1074])]) ).
cnf(c_0_1086,negated_conjecture,
( app(nil,sk1) = sk1
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_1077,c_0_1078]) ).
cnf(c_0_1087,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_1079,c_0_1080]),c_0_1081]),c_0_1061])]) ).
cnf(c_0_1088,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_1082]) ).
cnf(c_0_1089,plain,
( cons(X1,X2) != X2
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1083,c_0_1074])]) ).
cnf(c_0_1090,plain,
( cons(X1,app(nil,X2)) = cons(X1,X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1084,c_0_1085]),c_0_1061])]) ).
cnf(c_0_1091,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_297 ).
cnf(c_0_1092,negated_conjecture,
( app(nil,sk1) = sk1
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1086,c_0_1071]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1093,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1065,c_0_1074])]) ).
cnf(c_0_1094,axiom,
( neq(X1,X2)
| X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_309 ).
cnf(c_0_1095,axiom,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_255 ).
cnf(c_0_1096,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_292 ).
cnf(c_0_1097,plain,
( tl(cons(X1,nil)) = nil
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(spm,[status(thm)],[c_0_1087,c_0_1088]) ).
cnf(c_0_1098,plain,
( cons(X1,X2) != app(nil,X2)
| ~ ssList(app(nil,X2))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_1089,c_0_1090]) ).
cnf(c_0_1099,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_333 ).
cnf(c_0_1100,axiom,
( nil = X1
| hd(app(X1,X2)) = hd(X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_280 ).
cnf(c_0_1101,plain,
( cons(X1,X2) != nil
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1091,c_0_1074])]) ).
cnf(c_0_1102,negated_conjecture,
( app(nil,sk1) = sk1
| ~ neq(nil,sk4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1092,c_0_1093]),c_0_1061])]) ).
cnf(c_0_1103,plain,
( X1 = X2
| neq(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1094,c_0_1074]),c_0_1074])]) ).
cnf(c_0_1104,plain,
( nil = X1
| ssList(app(tl(X1),X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1095]),c_0_1032]),c_0_1096]) ).
cnf(c_0_1105,plain,
( tl(cons(X1,nil)) = nil
| ~ ssList(cons(X1,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1097,c_0_1074])]) ).
cnf(c_0_1106,plain,
cons(X1,nil) != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1098,c_0_1099]),c_0_1061])]) ).
cnf(c_0_1107,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_1100,c_0_1084]),c_0_1093]),c_0_1101]) ).
cnf(c_0_1108,negated_conjecture,
app(nil,sk1) = sk1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1102,c_0_1103]),c_0_1052]) ).
cnf(c_0_1109,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_308 ).
cnf(c_0_1110,axiom,
( frontsegP(X1,X2)
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
i_0_216 ).
cnf(c_0_1111,plain,
( ssList(app(nil,X1))
| ~ ssList(cons(X2,nil))
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1104,c_0_1105]),c_0_1106]) ).
cnf(c_0_1112,plain,
frontsegP(cons(skaf83(X1),sk4),cons(skaf83(X1),sk4)),
i_0_975 ).
cnf(c_0_1113,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1053,c_0_1074])]) ).
cnf(c_0_1114,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_1107,c_0_1108]),c_0_1046]),c_0_1061])]) ).
cnf(c_0_1115,plain,
( ssList(cons(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1032,c_0_1084]),c_0_1093]) ).
cnf(c_0_1116,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1109])]),c_0_1061])]) ).
cnf(c_0_1117,plain,
( frontsegP(X1,X2)
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1110,c_0_1074]),c_0_1074])]) ).
cnf(c_0_1118,plain,
( ssList(app(nil,X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1111,c_0_1093]),c_0_1061])]) ).
cnf(c_0_1119,plain,
( nil = X1
| frontsegP(cons(hd(X1),sk4),cons(hd(X1),sk4))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_1112,c_0_1058]) ).
cnf(c_0_1120,negated_conjecture,
hd(cons(X1,nil)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1113,c_0_1114]),c_0_1046])]) ).
cnf(c_0_1121,plain,
ssList(cons(X1,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1115,c_0_1116]),c_0_1061])]) ).
cnf(c_0_1122,axiom,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_263 ).
cnf(c_0_1123,plain,
( frontsegP(X1,app(nil,X2))
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1117,c_0_1090]),c_0_1118]) ).
cnf(c_0_1124,plain,
frontsegP(cons(X1,sk4),cons(X1,sk4)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1119,c_0_1120]),c_0_1121])]),c_0_1106]) ).
cnf(c_0_1125,plain,
( frontsegP(app(nil,X1),X2)
| ~ frontsegP(cons(X3,X1),cons(X4,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1117,c_0_1090]),c_0_1118]) ).
cnf(c_0_1126,axiom,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
i_0_254 ).
cnf(c_0_1127,axiom,
( app(X1,skaf45(X2,X1)) = X2
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_248 ).
cnf(c_0_1128,axiom,
ssList(skaf45(X1,X2)),
i_0_313 ).
cnf(c_0_1129,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_1122]),c_0_1032]) ).
cnf(c_0_1130,plain,
( app(X1,app(X2,nil)) = app(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1099,c_0_1072]),c_0_1061])]),c_0_1032]) ).
cnf(c_0_1131,axiom,
( X1 = X2
| ~ frontsegP(X2,X1)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_260 ).
cnf(c_0_1132,plain,
frontsegP(sk4,app(nil,sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1124]),c_0_1038])]) ).
cnf(c_0_1133,plain,
frontsegP(app(nil,sk4),sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1125,c_0_1124]),c_0_1038])]) ).
cnf(c_0_1134,axiom,
( segmentP(X1,X2)
| app(app(X3,X2),X4) != X1
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_223 ).
cnf(c_0_1135,plain,
( skaf45(app(X1,X2),X1) = X2
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1126,c_0_1127]),c_0_1128])])]),c_0_1032]),c_0_1129]) ).
cnf(c_0_1136,plain,
( app(X1,nil) = app(nil,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1130,c_0_1077]),c_0_1061])]) ).
cnf(c_0_1137,plain,
( app(nil,sk4) = sk4
| ~ ssList(app(nil,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1131,c_0_1132]),c_0_1133]),c_0_1038])]) ).
cnf(c_0_1138,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_1134]) ).
cnf(c_0_1139,plain,
( skaf45(app(nil,X1),X1) = nil
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_1136]),c_0_1061])]) ).
cnf(c_0_1140,plain,
app(nil,sk4) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1137,c_0_1032]),c_0_1038]),c_0_1061])]) ).
cnf(c_0_1141,plain,
frontsegP(cons(skac2,sk4),cons(skac2,sk4)),
i_0_487 ).
cnf(c_0_1142,axiom,
ssItem(skac2),
i_0_380 ).
cnf(c_0_1143,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(sk2,X1)
| ~ segmentP(sk1,X1)
| ~ neq(sk4,nil) ),
i_0_228 ).
cnf(c_0_1144,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_1138,c_0_1073]),c_0_1061])]),c_0_1032]) ).
cnf(c_0_1145,axiom,
( rearsegP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_264 ).
cnf(c_0_1146,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
i_0_298 ).
cnf(c_0_1147,plain,
skaf45(sk4,sk4) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_1140]),c_0_1038])]) ).
cnf(c_0_1148,plain,
frontsegP(sk4,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1110,c_0_1141]),c_0_1142]),c_0_1038])]) ).
cnf(c_0_1149,plain,
( app(tl(X1),skaf45(X2,X1)) = tl(X2)
| nil = X1
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_1127]),c_0_1128])]) ).
cnf(c_0_1150,negated_conjecture,
( ~ neq(X1,nil)
| ~ segmentP(sk4,X1)
| ~ segmentP(sk1,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1143,c_0_1048]),c_0_1056])]) ).
cnf(c_0_1151,negated_conjecture,
( segmentP(sk1,tl(sk4))
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_1144,c_0_1078]) ).
cnf(c_0_1152,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_247 ).
cnf(c_0_1153,axiom,
ssList(skaf46(X1,X2)),
i_0_314 ).
cnf(c_0_1154,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_1145]),c_0_1032]) ).
cnf(c_0_1155,plain,
( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
| nil = X1
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_1100]),c_0_1032]),c_0_1096]) ).
cnf(c_0_1156,plain,
app(sk4,nil) = sk4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1127,c_0_1147]),c_0_1148]),c_0_1038])]) ).
cnf(c_0_1157,plain,
app(tl(sk4),nil) = tl(sk4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1149,c_0_1147]),c_0_1148]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1158,negated_conjecture,
( ~ neq(tl(sk4),nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_1150,c_0_1151]) ).
cnf(c_0_1159,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_1138,c_0_1152]),c_0_1153])]),c_0_1032]) ).
cnf(c_0_1160,plain,
( rearsegP(cons(X1,X2),X2)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1154,c_0_1085]),c_0_1121])]) ).
cnf(c_0_1161,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1155,c_0_1156]),c_0_1061]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1162,plain,
ssList(tl(sk4)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1104,c_0_1157]),c_0_1061]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1163,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_1138,c_0_1099]),c_0_1061])]),c_0_1032]) ).
cnf(c_0_1164,negated_conjecture,
( ~ neq(tl(sk4),nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,tl(sk4))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1158,c_0_1121])]) ).
cnf(c_0_1165,plain,
( 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_1159,c_0_1156]),c_0_1061]),c_0_1038])]) ).
cnf(c_0_1166,plain,
rearsegP(sk4,tl(sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1160,c_0_1161]),c_0_1162])]) ).
cnf(c_0_1167,negated_conjecture,
( segmentP(sk1,cons(hd(sk4),nil))
| ~ neq(nil,sk4)
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_1163,c_0_1078]) ).
cnf(c_0_1168,negated_conjecture,
( ~ neq(tl(sk4),nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1164,c_0_1162])]) ).
cnf(c_0_1169,plain,
segmentP(sk4,tl(sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1165,c_0_1166]),c_0_1162])]) ).
cnf(c_0_1170,negated_conjecture,
( ~ neq(cons(hd(sk4),nil),nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(spm,[status(thm)],[c_0_1150,c_0_1167]) ).
cnf(c_0_1171,negated_conjecture,
( ~ neq(tl(sk4),nil)
| ~ neq(nil,sk4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1168,c_0_1169])]) ).
cnf(c_0_1172,negated_conjecture,
( ~ neq(cons(hd(sk4),nil),nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,cons(hd(sk4),nil))
| ~ ssList(tl(sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1170,c_0_1121])]) ).
cnf(c_0_1173,negated_conjecture,
( tl(sk4) = nil
| ~ neq(nil,sk4) ),
inference(spm,[status(thm)],[c_0_1171,c_0_1103]) ).
cnf(c_0_1174,plain,
( segmentP(X1,X2)
| ~ frontsegP(X1,app(X3,X2))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1138,c_0_1127]),c_0_1128])]),c_0_1032]) ).
cnf(c_0_1175,negated_conjecture,
( ~ neq(cons(hd(sk4),nil),nil)
| ~ neq(nil,sk4)
| ~ segmentP(sk4,cons(hd(sk4),nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1172,c_0_1162])]) ).
cnf(c_0_1176,negated_conjecture,
( cons(hd(sk4),nil) = sk4
| ~ neq(nil,sk4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_1173]),c_0_1038])]),c_0_1052]) ).
cnf(c_0_1177,plain,
segmentP(sk4,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1174,c_0_1132]),c_0_1038]),c_0_1061])]) ).
cnf(c_0_1178,negated_conjecture,
~ neq(nil,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1175,c_0_1176]),c_0_1056]),c_0_1177])]) ).
cnf(c_0_1179,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1178,c_0_1103]),c_0_1052]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC087-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.31 % Computer : n020.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Tue May 5 04:25:04 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 166.73/110.45 % Version : CSE_E---1.7
% 166.73/110.45 % Problem : theBenchmark.p
% 166.73/110.45 % SZS status Unsatisfiable for theBenchmark.p
% 166.73/110.45 % SZS output start CNFRefutation
% See solution above
% 174.35/118.10 % Total time : 109.376s
%------------------------------------------------------------------------------