%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC264-1 : 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 : n023.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 05:18:56 PM UTC 2026
% Result : Unsatisfiable 154.99s 111.25s
% Output : CNFRefutation 164.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_439)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(co1_8,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
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(co1_7,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
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_193,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_194,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_195,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_196,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_197,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_198,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_199,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_200,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_201,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_202,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_203,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_204,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_205,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_206,axiom,
( equalelemsP(X1)
| app(skaf80(X1),cons(skaf78(X1),cons(skaf79(X1),skaf81(X1)))) = X1
| ~ ssList(X1) ),
clause142,
[final] ).
cnf(i_0_207,axiom,
( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause168,
[final] ).
cnf(i_0_208,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
clause169,
[final] ).
cnf(i_0_209,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause174,
[final] ).
cnf(i_0_210,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause172,
[final] ).
cnf(i_0_211,axiom,
( X1 = X3
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause176,
[final] ).
cnf(i_0_212,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_213,axiom,
( memberP(X2,X3)
| memberP(X1,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
clause158,
[final] ).
cnf(i_0_214,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
clause173,
[final] ).
cnf(i_0_215,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175,
[final] ).
cnf(i_0_216,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161,
[final] ).
cnf(i_0_217,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149,
[final] ).
cnf(i_0_218,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157,
[final] ).
cnf(i_0_219,axiom,
( totalorderedP(cons(X1,X2))
| nil = X2
| ~ leq(X1,hd(X2))
| ~ totalorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause159,
[final] ).
cnf(i_0_220,axiom,
( strictorderedP(cons(X1,X2))
| nil = X2
| ~ lt(X1,hd(X2))
| ~ strictorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause160,
[final] ).
cnf(i_0_221,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause140,
[final] ).
cnf(i_0_222,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
clause141,
[final] ).
cnf(i_0_223,axiom,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
clause139,
[final] ).
cnf(i_0_224,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause137,
[final] ).
cnf(i_0_225,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause136,
[final] ).
cnf(i_0_226,axiom,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause134,
[final] ).
cnf(i_0_227,axiom,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause135,
[final] ).
cnf(i_0_228,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause146,
[final] ).
cnf(i_0_229,axiom,
( lt(X1,X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause155,
[final] ).
cnf(i_0_230,axiom,
( lt(X1,X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause147,
[final] ).
cnf(i_0_231,axiom,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause156,
[final] ).
cnf(i_0_232,axiom,
( frontsegP(X1,X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause154,
[final] ).
cnf(i_0_233,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause153,
[final] ).
cnf(i_0_234,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause152,
[final] ).
cnf(i_0_235,axiom,
( geq(X1,X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause148,
[final] ).
cnf(i_0_236,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131,
[final] ).
cnf(i_0_237,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132,
[final] ).
cnf(i_0_238,axiom,
( X1 = X3
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause170,
[final] ).
cnf(i_0_239,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171,
[final] ).
cnf(i_0_240,axiom,
( totalorderedP(X2)
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause125,
[final] ).
cnf(i_0_241,axiom,
( strictorderedP(X2)
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause124,
[final] ).
cnf(i_0_242,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151,
[final] ).
cnf(i_0_243,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150,
[final] ).
cnf(i_0_244,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133,
[final] ).
cnf(i_0_245,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause138,
[final] ).
cnf(i_0_246,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120,
[final] ).
cnf(i_0_247,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause130,
[final] ).
cnf(i_0_248,axiom,
( X2 = X1
| ~ geq(X1,X2)
| ~ geq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause126,
[final] ).
cnf(i_0_249,axiom,
( X2 = X1
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause129,
[final] ).
cnf(i_0_250,axiom,
( X2 = X1
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause128,
[final] ).
cnf(i_0_251,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause127,
[final] ).
cnf(i_0_252,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause144,
[final] ).
cnf(i_0_253,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause143,
[final] ).
cnf(i_0_254,axiom,
( ~ gt(X1,X2)
| ~ gt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause110,
[final] ).
cnf(i_0_255,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause114,
[final] ).
cnf(i_0_256,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause122,
[final] ).
cnf(i_0_257,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause121,
[final] ).
cnf(i_0_258,axiom,
( totalorderP(X1)
| ~ leq(skaf54(X1),skaf55(X1))
| ~ ssList(X1) ),
clause95,
[final] ).
cnf(i_0_259,axiom,
( totalorderP(X1)
| ~ leq(skaf55(X1),skaf54(X1))
| ~ ssList(X1) ),
clause94,
[final] ).
cnf(i_0_260,axiom,
( strictorderP(X1)
| ~ lt(skaf59(X1),skaf60(X1))
| ~ ssList(X1) ),
clause93,
[final] ).
cnf(i_0_261,axiom,
( strictorderP(X1)
| ~ lt(skaf60(X1),skaf59(X1))
| ~ ssList(X1) ),
clause92,
[final] ).
cnf(i_0_262,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
clause91,
[final] ).
cnf(i_0_263,axiom,
( strictorderedP(X1)
| ~ lt(skaf69(X1),skaf70(X1))
| ~ ssList(X1) ),
clause90,
[final] ).
cnf(i_0_264,axiom,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause106,
[final] ).
cnf(i_0_265,axiom,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause105,
[final] ).
cnf(i_0_266,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause103,
[final] ).
cnf(i_0_267,axiom,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause107,
[final] ).
cnf(i_0_268,axiom,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause108,
[final] ).
cnf(i_0_269,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause123,
[final] ).
cnf(i_0_270,axiom,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause113,
[final] ).
cnf(i_0_271,axiom,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause112,
[final] ).
cnf(i_0_272,axiom,
( nil = X2
| X1 = X2
| nil = X1
| tl(X1) != tl(X2)
| hd(X1) != hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause177,
[final] ).
cnf(i_0_273,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97,
[final] ).
cnf(i_0_274,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96,
[final] ).
cnf(i_0_275,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85,
[final] ).
cnf(i_0_276,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86,
[final] ).
cnf(i_0_277,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause117,
[final] ).
cnf(i_0_278,axiom,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause111,
[final] ).
cnf(i_0_279,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause115,
[final] ).
cnf(i_0_280,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116,
[final] ).
cnf(i_0_281,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118,
[final] ).
cnf(i_0_282,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119,
[final] ).
cnf(i_0_283,axiom,
( cyclefreeP(X1)
| leq(skaf49(X1),skaf50(X1))
| ~ ssList(X1) ),
clause88,
[final] ).
cnf(i_0_284,axiom,
( cyclefreeP(X1)
| leq(skaf50(X1),skaf49(X1))
| ~ ssList(X1) ),
clause87,
[final] ).
cnf(i_0_285,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99,
[final] ).
cnf(i_0_286,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98,
[final] ).
cnf(i_0_287,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104,
[final] ).
cnf(i_0_288,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109,
[final] ).
cnf(i_0_289,axiom,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause70,
[final] ).
cnf(i_0_290,axiom,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause69,
[final] ).
cnf(i_0_291,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause68,
[final] ).
cnf(i_0_292,axiom,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause67,
[final] ).
cnf(i_0_293,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause66,
[final] ).
cnf(i_0_294,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause65,
[final] ).
cnf(i_0_295,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
clause64,
[final] ).
cnf(i_0_296,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101,
[final] ).
cnf(i_0_297,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
clause145,
[final] ).
cnf(i_0_298,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause102,
[final] ).
cnf(i_0_299,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100,
[final] ).
cnf(i_0_300,axiom,
ssList(skaf42(X1,X2)),
clause53,
[final] ).
cnf(i_0_301,axiom,
ssList(skaf43(X1,X2)),
clause52,
[final] ).
cnf(i_0_302,axiom,
ssList(skaf45(X1,X2)),
clause51,
[final] ).
cnf(i_0_303,axiom,
ssList(skaf46(X1,X2)),
clause50,
[final] ).
cnf(i_0_304,axiom,
ssList(skaf47(X1,X2)),
clause49,
[final] ).
cnf(i_0_305,axiom,
ssList(skaf48(X1,X2)),
clause48,
[final] ).
cnf(i_0_306,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
clause63,
[final] ).
cnf(i_0_307,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
clause84,
[final] ).
cnf(i_0_308,axiom,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
clause82,
[final] ).
cnf(i_0_309,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
clause80,
[final] ).
cnf(i_0_310,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71,
[final] ).
cnf(i_0_311,axiom,
( equalelemsP(X1)
| skaf79(X1) != skaf78(X1)
| ~ ssList(X1) ),
clause89,
[final] ).
cnf(i_0_312,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause83,
[final] ).
cnf(i_0_313,axiom,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause81,
[final] ).
cnf(i_0_314,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause79,
[final] ).
cnf(i_0_315,axiom,
( leq(X1,X1)
| ~ ssItem(X1) ),
clause62,
[final] ).
cnf(i_0_316,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
clause61,
[final] ).
cnf(i_0_317,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
clause59,
[final] ).
cnf(i_0_318,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
clause57,
[final] ).
cnf(i_0_319,axiom,
( geq(X1,X1)
| ~ ssItem(X1) ),
clause55,
[final] ).
cnf(i_0_320,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74,
[final] ).
cnf(i_0_321,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73,
[final] ).
cnf(i_0_322,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
clause60,
[final] ).
cnf(i_0_323,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
clause58,
[final] ).
cnf(i_0_324,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
clause56,
[final] ).
cnf(i_0_325,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause78,
[final] ).
cnf(i_0_326,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76,
[final] ).
cnf(i_0_327,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause77,
[final] ).
cnf(i_0_328,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75,
[final] ).
cnf(i_0_329,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72,
[final] ).
cnf(i_0_330,axiom,
ssItem(skaf44(X1)),
clause47,
[final] ).
cnf(i_0_331,axiom,
ssItem(skaf49(X1)),
clause46,
[final] ).
cnf(i_0_332,axiom,
ssItem(skaf50(X1)),
clause45,
[final] ).
cnf(i_0_333,axiom,
ssItem(skaf54(X1)),
clause41,
[final] ).
cnf(i_0_334,axiom,
ssItem(skaf55(X1)),
clause40,
[final] ).
cnf(i_0_335,axiom,
ssItem(skaf59(X1)),
clause36,
[final] ).
cnf(i_0_336,axiom,
ssItem(skaf60(X1)),
clause35,
[final] ).
cnf(i_0_337,axiom,
ssItem(skaf64(X1)),
clause31,
[final] ).
cnf(i_0_338,axiom,
ssItem(skaf65(X1)),
clause30,
[final] ).
cnf(i_0_339,axiom,
ssItem(skaf69(X1)),
clause26,
[final] ).
cnf(i_0_340,axiom,
ssItem(skaf70(X1)),
clause25,
[final] ).
cnf(i_0_341,axiom,
ssItem(skaf74(X1)),
clause21,
[final] ).
cnf(i_0_342,axiom,
ssItem(skaf78(X1)),
clause17,
[final] ).
cnf(i_0_343,axiom,
ssItem(skaf79(X1)),
clause16,
[final] ).
cnf(i_0_344,axiom,
ssItem(skaf83(X1)),
clause12,
[final] ).
cnf(i_0_345,axiom,
ssList(skaf51(X1)),
clause44,
[final] ).
cnf(i_0_346,axiom,
ssList(skaf52(X1)),
clause43,
[final] ).
cnf(i_0_347,axiom,
ssList(skaf53(X1)),
clause42,
[final] ).
cnf(i_0_348,axiom,
ssList(skaf56(X1)),
clause39,
[final] ).
cnf(i_0_349,axiom,
ssList(skaf57(X1)),
clause38,
[final] ).
cnf(i_0_350,axiom,
ssList(skaf58(X1)),
clause37,
[final] ).
cnf(i_0_351,axiom,
ssList(skaf61(X1)),
clause34,
[final] ).
cnf(i_0_352,axiom,
ssList(skaf62(X1)),
clause33,
[final] ).
cnf(i_0_353,axiom,
ssList(skaf63(X1)),
clause32,
[final] ).
cnf(i_0_354,axiom,
ssList(skaf66(X1)),
clause29,
[final] ).
cnf(i_0_355,axiom,
ssList(skaf67(X1)),
clause28,
[final] ).
cnf(i_0_356,axiom,
ssList(skaf68(X1)),
clause27,
[final] ).
cnf(i_0_357,axiom,
ssList(skaf71(X1)),
clause24,
[final] ).
cnf(i_0_358,axiom,
ssList(skaf72(X1)),
clause23,
[final] ).
cnf(i_0_359,axiom,
ssList(skaf73(X1)),
clause22,
[final] ).
cnf(i_0_360,axiom,
ssList(skaf75(X1)),
clause20,
[final] ).
cnf(i_0_361,axiom,
ssList(skaf76(X1)),
clause19,
[final] ).
cnf(i_0_362,axiom,
ssList(skaf77(X1)),
clause18,
[final] ).
cnf(i_0_363,axiom,
ssList(skaf80(X1)),
clause15,
[final] ).
cnf(i_0_364,axiom,
ssList(skaf81(X1)),
clause14,
[final] ).
cnf(i_0_365,axiom,
ssList(skaf82(X1)),
clause13,
[final] ).
cnf(i_0_366,axiom,
~ singletonP(nil),
clause11,
[final] ).
cnf(i_0_367,negated_conjecture,
~ totalorderedP(sk1),
co1_8,
[final] ).
cnf(i_0_368,axiom,
ssItem(skac2),
clause10,
[final] ).
cnf(i_0_369,axiom,
ssItem(skac3),
clause9,
[final] ).
cnf(i_0_370,negated_conjecture,
ssList(sk4),
co1_4,
[final] ).
cnf(i_0_371,negated_conjecture,
ssList(sk3),
co1_3,
[final] ).
cnf(i_0_372,negated_conjecture,
ssList(sk2),
co1_2,
[final] ).
cnf(i_0_373,negated_conjecture,
ssList(sk1),
co1_1,
[final] ).
cnf(i_0_374,axiom,
ssList(nil),
clause8,
[final] ).
cnf(i_0_375,axiom,
cyclefreeP(nil),
clause7,
[final] ).
cnf(i_0_376,axiom,
totalorderP(nil),
clause6,
[final] ).
cnf(i_0_377,axiom,
strictorderP(nil),
clause5,
[final] ).
cnf(i_0_378,axiom,
totalorderedP(nil),
clause4,
[final] ).
cnf(i_0_379,negated_conjecture,
strictorderedP(sk3),
co1_7,
[final] ).
cnf(i_0_380,axiom,
strictorderedP(nil),
clause3,
[final] ).
cnf(i_0_381,axiom,
duplicatefreeP(nil),
clause2,
[final] ).
cnf(i_0_382,axiom,
equalelemsP(nil),
clause1,
[final] ).
cnf(i_0_383,axiom,
skac3 != skac2,
clause54,
[final] ).
cnf(i_0_384,negated_conjecture,
sk2 = sk4,
co1_5,
[final] ).
cnf(i_0_385,negated_conjecture,
sk1 = sk3,
co1_6,
[final] ).
cnf(i_0_386,axiom,
X1 = X1 ).
cnf(i_0_387,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_388,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_389,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_390,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_391,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_392,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_393,axiom,
( X1 != X2
| skaf78(X1) = skaf78(X2) ) ).
cnf(i_0_394,axiom,
( X1 != X2
| skaf79(X1) = skaf79(X2) ) ).
cnf(i_0_395,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_396,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_397,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_398,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_399,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_400,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_401,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_402,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_403,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_404,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_405,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_406,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_407,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_1390,plain,
memberP(cons(skac2,sk3),skac2),
inference(scs_inference,[],[i_0_371,i_0_368,i_0_439]) ).
cnf(i_0_1392,plain,
frontsegP(cons(skaf50(X1),skaf57(X2)),cons(skaf50(X1),skaf57(X2))),
inference(scs_inference,[],[i_0_371,i_0_876,i_0_332,i_0_368,i_0_349,i_0_439,i_0_432]) ).
cnf(i_0_1407,plain,
frontsegP(cons(skaf50(X1),skaf66(X2)),cons(skaf50(X1),skaf66(X2))),
inference(scs_inference,[],[i_0_1022,i_0_332,i_0_354,i_0_432]) ).
cnf(i_0_1415,plain,
frontsegP(cons(skaf50(X1),skaf67(X2)),cons(skaf50(X1),skaf67(X2))),
inference(scs_inference,[],[i_0_1043,i_0_332,i_0_355,i_0_432]) ).
cnf(i_0_1433,plain,
frontsegP(cons(skaf50(X1),skaf68(X2)),cons(skaf50(X1),skaf68(X2))),
inference(scs_inference,[],[i_0_1064,i_0_332,i_0_356,i_0_432]) ).
cnf(i_0_1442,plain,
frontsegP(cons(skaf50(X1),skaf72(X2)),cons(skaf50(X1),skaf72(X2))),
inference(scs_inference,[],[i_0_1106,i_0_332,i_0_358,i_0_432]) ).
cnf(i_0_1457,plain,
frontsegP(cons(skaf50(X1),skaf73(X2)),cons(skaf50(X1),skaf73(X2))),
inference(scs_inference,[],[i_0_1127,i_0_332,i_0_359,i_0_432]) ).
cnf(i_0_1463,plain,
frontsegP(cons(skaf50(X1),skaf75(X2)),cons(skaf50(X1),skaf75(X2))),
inference(scs_inference,[],[i_0_1148,i_0_332,i_0_360,i_0_432]) ).
cnf(i_0_1472,plain,
frontsegP(cons(skaf50(X1),skaf76(X2)),cons(skaf50(X1),skaf76(X2))),
inference(scs_inference,[],[i_0_1169,i_0_332,i_0_361,i_0_432]) ).
cnf(i_0_1490,plain,
frontsegP(cons(skaf50(X1),skaf77(X2)),cons(skaf50(X1),skaf77(X2))),
inference(scs_inference,[],[i_0_1190,i_0_332,i_0_362,i_0_432]) ).
cnf(i_0_1499,plain,
frontsegP(cons(skaf50(X1),skaf80(X2)),cons(skaf50(X1),skaf80(X2))),
inference(scs_inference,[],[i_0_1211,i_0_332,i_0_363,i_0_432]) ).
cnf(i_0_1517,plain,
frontsegP(cons(skaf50(X1),skaf81(X2)),cons(skaf50(X1),skaf81(X2))),
inference(scs_inference,[],[i_0_1232,i_0_332,i_0_364,i_0_432]) ).
cnf(i_0_1526,plain,
frontsegP(cons(skaf50(X1),skaf82(X2)),cons(skaf50(X1),skaf82(X2))),
inference(scs_inference,[],[i_0_1253,i_0_332,i_0_365,i_0_432]) ).
cnf(i_0_1544,plain,
frontsegP(cons(skaf50(X1),skaf42(X2,X3)),cons(skaf50(X1),skaf42(X2,X3))),
inference(scs_inference,[],[i_0_1274,i_0_332,i_0_300,i_0_432]) ).
cnf(i_0_1553,plain,
frontsegP(cons(skaf50(X1),skaf43(X2,X3)),cons(skaf50(X1),skaf43(X2,X3))),
inference(scs_inference,[],[i_0_582,i_0_332,i_0_301,i_0_432]) ).
cnf(i_0_1571,plain,
frontsegP(cons(skaf50(X1),skaf45(X2,X3)),cons(skaf50(X1),skaf45(X2,X3))),
inference(scs_inference,[],[i_0_616,i_0_332,i_0_302,i_0_432]) ).
cnf(i_0_1580,plain,
frontsegP(cons(skaf50(X1),skaf46(X2,X3)),cons(skaf50(X1),skaf46(X2,X3))),
inference(scs_inference,[],[i_0_652,i_0_332,i_0_303,i_0_432]) ).
cnf(i_0_1598,plain,
frontsegP(cons(skaf50(X1),skaf47(X2,X3)),cons(skaf50(X1),skaf47(X2,X3))),
inference(scs_inference,[],[i_0_684,i_0_332,i_0_304,i_0_432]) ).
cnf(i_0_1607,plain,
frontsegP(cons(skaf50(X1),skaf48(X2,X3)),cons(skaf50(X1),skaf48(X2,X3))),
inference(scs_inference,[],[i_0_716,i_0_332,i_0_305,i_0_432]) ).
cnf(i_0_1625,plain,
frontsegP(cons(skaf50(X1),skaf51(X2)),cons(skaf50(X1),skaf51(X2))),
inference(scs_inference,[],[i_0_748,i_0_332,i_0_345,i_0_432]) ).
cnf(i_0_1634,plain,
frontsegP(cons(skaf50(X1),skaf52(X2)),cons(skaf50(X1),skaf52(X2))),
inference(scs_inference,[],[i_0_780,i_0_332,i_0_346,i_0_432]) ).
cnf(i_0_1652,plain,
frontsegP(cons(skaf50(X1),skaf53(X2)),cons(skaf50(X1),skaf53(X2))),
inference(scs_inference,[],[i_0_812,i_0_332,i_0_347,i_0_432]) ).
cnf(i_0_1661,plain,
frontsegP(cons(skaf50(X1),skaf56(X2)),cons(skaf50(X1),skaf56(X2))),
inference(scs_inference,[],[i_0_844,i_0_332,i_0_348,i_0_432]) ).
cnf(i_0_1679,plain,
frontsegP(cons(skaf50(X1),skaf58(X2)),cons(skaf50(X1),skaf58(X2))),
inference(scs_inference,[],[i_0_908,i_0_332,i_0_350,i_0_432]) ).
cnf(i_0_1688,plain,
frontsegP(cons(skaf50(X1),skaf61(X2)),cons(skaf50(X1),skaf61(X2))),
inference(scs_inference,[],[i_0_940,i_0_332,i_0_351,i_0_432]) ).
cnf(i_0_1706,plain,
frontsegP(cons(skaf50(X1),skaf62(X2)),cons(skaf50(X1),skaf62(X2))),
inference(scs_inference,[],[i_0_972,i_0_332,i_0_352,i_0_432]) ).
cnf(i_0_1715,plain,
frontsegP(cons(skaf50(X1),skaf63(X2)),cons(skaf50(X1),skaf63(X2))),
inference(scs_inference,[],[i_0_1001,i_0_332,i_0_353,i_0_432]) ).
cnf(i_0_1733,plain,
frontsegP(cons(skaf50(X1),skaf71(X2)),cons(skaf50(X1),skaf71(X2))),
inference(scs_inference,[],[i_0_1085,i_0_332,i_0_357,i_0_432]) ).
cnf(i_0_1756,plain,
ssList(skaf81(X1)),
inference(equality_inference,[],[1742]) ).
cnf(i_0_1962,plain,
memberP(cons(skaf50(X1),sk4),skaf50(X1)),
inference(scs_inference,[],[i_0_370,i_0_332,i_0_439]) ).
cnf(i_0_1967,plain,
memberP(cons(skaf55(X1),sk4),skaf55(X1)),
inference(scs_inference,[],[i_0_370,i_0_334,i_0_439]) ).
cnf(i_0_1972,plain,
memberP(cons(skaf59(X1),sk4),skaf59(X1)),
inference(scs_inference,[],[i_0_370,i_0_335,i_0_439]) ).
cnf(i_0_1977,plain,
memberP(cons(skaf64(X1),sk4),skaf64(X1)),
inference(scs_inference,[],[i_0_370,i_0_337,i_0_439]) ).
cnf(i_0_1982,plain,
memberP(cons(skaf74(X1),sk4),skaf74(X1)),
inference(scs_inference,[],[i_0_370,i_0_341,i_0_439]) ).
cnf(i_0_1987,plain,
memberP(cons(skaf78(X1),sk4),skaf78(X1)),
inference(scs_inference,[],[i_0_370,i_0_342,i_0_439]) ).
cnf(i_0_1990,plain,
leq(skaf44(X1),skaf44(X1)),
inference(rename_variables,[],[i_0_494]) ).
cnf(i_0_1993,plain,
memberP(cons(skaf79(X1),sk4),skaf79(X1)),
inference(scs_inference,[],[i_0_370,i_0_343,i_0_439]) ).
cnf(i_0_1996,plain,
geq(skaf44(X1),skaf44(X1)),
inference(rename_variables,[],[i_0_496]) ).
cnf(i_0_1999,plain,
memberP(cons(skaf83(X1),sk4),skaf83(X1)),
inference(scs_inference,[],[i_0_370,i_0_344,i_0_439]) ).
cnf(i_0_2002,plain,
frontsegP(skaf43(X1,X2),skaf43(X1,X2)),
inference(rename_variables,[],[i_0_582]) ).
cnf(i_0_2005,plain,
memberP(cons(skaf49(X1),sk4),skaf49(X1)),
inference(scs_inference,[],[i_0_370,i_0_331,i_0_439]) ).
cnf(i_0_2010,plain,
memberP(cons(skaf54(X1),sk4),skaf54(X1)),
inference(scs_inference,[],[i_0_370,i_0_333,i_0_439]) ).
cnf(i_0_2015,plain,
memberP(cons(skaf60(X1),sk4),skaf60(X1)),
inference(scs_inference,[],[i_0_370,i_0_336,i_0_439]) ).
cnf(i_0_2018,plain,
leq(skaf49(X1),skaf49(X1)),
inference(rename_variables,[],[i_0_524]) ).
cnf(i_0_2021,plain,
memberP(cons(skaf65(X1),sk4),skaf65(X1)),
inference(scs_inference,[],[i_0_370,i_0_338,i_0_439]) ).
cnf(i_0_2024,plain,
geq(skaf49(X1),skaf49(X1)),
inference(rename_variables,[],[i_0_526]) ).
cnf(i_0_2027,plain,
memberP(cons(skaf69(X1),sk4),skaf69(X1)),
inference(scs_inference,[],[i_0_370,i_0_339,i_0_439]) ).
cnf(i_0_2030,plain,
frontsegP(skaf45(X1,X2),skaf45(X1,X2)),
inference(rename_variables,[],[i_0_616]) ).
cnf(i_0_2033,plain,
memberP(cons(skaf70(X1),sk4),skaf70(X1)),
inference(scs_inference,[],[i_0_370,i_0_340,i_0_439]) ).
cnf(i_0_2038,plain,
memberP(cons(skac3,sk4),skac3),
inference(scs_inference,[],[i_0_370,i_0_369,i_0_439]) ).
cnf(i_0_2043,plain,
memberP(cons(skaf44(X1),sk4),skaf44(X1)),
inference(scs_inference,[],[i_0_370,i_0_330,i_0_439]) ).
cnf(i_0_2046,plain,
leq(skaf54(X1),skaf54(X1)),
inference(rename_variables,[],[i_0_590]) ).
cnf(i_0_2050,plain,
geq(skaf54(X1),skaf54(X1)),
inference(rename_variables,[],[i_0_592]) ).
cnf(i_0_2054,plain,
frontsegP(skaf46(X1,X2),skaf46(X1,X2)),
inference(rename_variables,[],[i_0_652]) ).
cnf(i_0_2064,plain,
leq(skaf55(X1),skaf55(X1)),
inference(rename_variables,[],[i_0_622]) ).
cnf(i_0_2068,plain,
geq(skaf55(X1),skaf55(X1)),
inference(rename_variables,[],[i_0_624]) ).
cnf(i_0_2072,plain,
frontsegP(skaf47(X1,X2),skaf47(X1,X2)),
inference(rename_variables,[],[i_0_684]) ).
cnf(i_0_2076,plain,
rearsegP(skaf43(X1,X2),skaf43(X1,X2)),
inference(rename_variables,[],[i_0_584]) ).
cnf(i_0_2080,plain,
segmentP(skaf43(X1,X2),skaf43(X1,X2)),
inference(rename_variables,[],[i_0_586]) ).
cnf(i_0_2084,plain,
leq(skaf59(X1),skaf59(X1)),
inference(rename_variables,[],[i_0_648]) ).
cnf(i_0_2088,plain,
geq(skaf59(X1),skaf59(X1)),
inference(rename_variables,[],[i_0_650]) ).
cnf(i_0_2092,plain,
frontsegP(skaf48(X1,X2),skaf48(X1,X2)),
inference(rename_variables,[],[i_0_716]) ).
cnf(i_0_2096,plain,
rearsegP(skaf45(X1,X2),skaf45(X1,X2)),
inference(rename_variables,[],[i_0_618]) ).
cnf(i_0_2099,plain,
app(sk4,X1) = app(sk2,X1),
inference(scs_inference,[],[i_0_463,i_0_389]) ).
cnf(i_0_2100,plain,
app(X1,sk4) = app(X1,sk2),
inference(scs_inference,[],[i_0_463,i_0_389,i_0_390]) ).
cnf(i_0_2101,plain,
cons(sk4,X1) = cons(sk2,X1),
inference(scs_inference,[],[i_0_463,i_0_389,i_0_390,i_0_391]) ).
cnf(i_0_2102,plain,
cons(X1,sk4) = cons(X1,sk2),
inference(scs_inference,[],[i_0_463,i_0_389,i_0_390,i_0_391,i_0_392]) ).
cnf(i_0_2103,plain,
skaf78(sk4) = skaf78(sk2),
inference(scs_inference,[],[i_0_463,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393]) ).
cnf(i_0_2104,plain,
skaf79(sk4) = skaf79(sk2),
inference(scs_inference,[],[i_0_463,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394]) ).
cnf(i_0_2105,plain,
hd(sk4) = hd(sk2),
inference(scs_inference,[],[i_0_463,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395]) ).
cnf(i_0_2106,plain,
tl(sk4) = tl(sk2),
inference(scs_inference,[],[i_0_463,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396]) ).
cnf(i_0_2107,plain,
~ memberP(nil,skaf74(X1)),
inference(scs_inference,[],[i_0_463,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310]) ).
cnf(i_0_2109,plain,
frontsegP(skaf57(X1),nil),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322]) ).
cnf(i_0_2111,plain,
rearsegP(skaf57(X1),nil),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323]) ).
cnf(i_0_2113,plain,
segmentP(skaf57(X1),nil),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324]) ).
cnf(i_0_2115,plain,
cyclefreeP(cons(skaf74(X1),nil)),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289]) ).
cnf(i_0_2117,plain,
totalorderP(cons(skaf74(X1),nil)),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290]) ).
cnf(i_0_2119,plain,
strictorderP(cons(skaf74(X1),nil)),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290,i_0_291]) ).
cnf(i_0_2121,plain,
totalorderedP(cons(skaf74(X1),nil)),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290,i_0_291,i_0_292]) ).
cnf(i_0_2123,plain,
strictorderedP(cons(skaf74(X1),nil)),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290,i_0_291,i_0_292,i_0_293]) ).
cnf(i_0_2125,plain,
duplicatefreeP(cons(skaf74(X1),nil)),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290,i_0_291,i_0_292,i_0_293,i_0_294]) ).
cnf(i_0_2127,plain,
equalelemsP(cons(skaf74(X1),nil)),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290,i_0_291,i_0_292,i_0_293,i_0_294,i_0_295]) ).
cnf(i_0_2129,plain,
app(nil,skaf57(X1)) = skaf57(X1),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290,i_0_291,i_0_292,i_0_293,i_0_294,i_0_295,i_0_320]) ).
cnf(i_0_2131,plain,
app(skaf57(X1),nil) = skaf57(X1),
inference(scs_inference,[],[i_0_463,i_0_349,i_0_341,i_0_389,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_310,i_0_322,i_0_323,i_0_324,i_0_289,i_0_290,i_0_291,i_0_292,i_0_293,i_0_294,i_0_295,i_0_320,i_0_321]) ).
cnf(i_0_2135,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_2137,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_2148,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_2150,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_2190,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_870]) ).
cnf(i_0_2192,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_870]) ).
cnf(i_0_2208,plain,
rearsegP(skaf46(X1,X2),skaf46(X1,X2)),
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_2211,plain,
frontsegP(skaf51(X1),skaf51(X1)),
inference(rename_variables,[],[i_0_748]) ).
cnf(i_0_2222,plain,
segmentP(skaf45(X1,X2),skaf45(X1,X2)),
inference(rename_variables,[],[i_0_620]) ).
cnf(i_0_2233,plain,
frontsegP(skaf51(X1),skaf51(X1)),
inference(rename_variables,[],[i_0_748]) ).
cnf(i_0_2236,plain,
rearsegP(skaf46(X1,X2),skaf46(X1,X2)),
inference(rename_variables,[],[i_0_654]) ).
cnf(i_0_2245,plain,
segmentP(skaf45(X1,X2),skaf45(X1,X2)),
inference(rename_variables,[],[i_0_620]) ).
cnf(i_0_2261,plain,
~ lt(skaf44(X1),skaf44(X1)),
inference(rename_variables,[],[i_0_492]) ).
cnf(i_0_2364,plain,
leq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_904]) ).
cnf(i_0_2366,plain,
leq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_904]) ).
cnf(i_0_2380,plain,
geq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_906]) ).
cnf(i_0_2382,plain,
geq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_906]) ).
cnf(i_0_2541,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_2543,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_2545,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_2547,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_2695,plain,
leq(skaf65(X1),skaf65(X1)),
inference(rename_variables,[],[i_0_744]) ).
cnf(i_0_2697,plain,
leq(skaf64(X1),skaf64(X1)),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_2699,plain,
geq(skaf64(X1),skaf64(X1)),
inference(rename_variables,[],[i_0_714]) ).
cnf(i_0_2701,plain,
geq(skaf65(X1),skaf65(X1)),
inference(rename_variables,[],[i_0_746]) ).
cnf(i_0_2929,plain,
leq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_904]) ).
cnf(i_0_2931,plain,
leq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_904]) ).
cnf(i_0_2935,plain,
geq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_906]) ).
cnf(i_0_2937,plain,
geq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_906]) ).
cnf(i_0_2945,plain,
rearsegP(skaf47(X1,X2),skaf47(X1,X2)),
inference(rename_variables,[],[i_0_686]) ).
cnf(i_0_2952,plain,
segmentP(skaf46(X1,X2),skaf46(X1,X2)),
inference(rename_variables,[],[i_0_656]) ).
cnf(i_0_3063,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_3065,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_3067,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_3069,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_3077,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_870]) ).
cnf(i_0_3079,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_870]) ).
cnf(i_0_3085,plain,
rearsegP(skaf48(X1,X2),skaf48(X1,X2)),
inference(rename_variables,[],[i_0_718]) ).
cnf(i_0_3092,plain,
segmentP(skaf47(X1,X2),skaf47(X1,X2)),
inference(rename_variables,[],[i_0_688]) ).
cnf(i_0_3104,plain,
rearsegP(skaf48(X1,X2),skaf48(X1,X2)),
inference(rename_variables,[],[i_0_718]) ).
cnf(i_0_3201,plain,
leq(skaf65(X1),skaf65(X1)),
inference(rename_variables,[],[i_0_744]) ).
cnf(i_0_3203,plain,
leq(skaf64(X1),skaf64(X1)),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_3205,plain,
geq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_906]) ).
cnf(i_0_3207,plain,
geq(skaf79(X1),skaf79(X1)),
inference(rename_variables,[],[i_0_906]) ).
cnf(i_0_3246,plain,
rearsegP(skaf51(X1),skaf51(X1)),
inference(rename_variables,[],[i_0_750]) ).
cnf(i_0_3255,plain,
segmentP(skaf48(X1,X2),skaf48(X1,X2)),
inference(rename_variables,[],[i_0_720]) ).
cnf(i_0_3320,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_3322,plain,
leq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_3324,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_3326,plain,
geq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_874]) ).
cnf(i_0_3373,plain,
rearsegP(skaf52(X1),skaf52(X1)),
inference(rename_variables,[],[i_0_782]) ).
cnf(i_0_3380,plain,
segmentP(skaf51(X1),skaf51(X1)),
inference(rename_variables,[],[i_0_752]) ).
cnf(i_0_485,plain,
ssList(sk3),
inference(equality_inference,[],[479]) ).
cnf(i_0_504,plain,
nil != sk3,
inference(scs_inference,[],[i_0_372,i_0_379,i_0_385,i_0_466,i_0_330,i_0_316,i_0_317,i_0_318,i_0_306,i_0_315,i_0_319,i_0_387,i_0_423,i_0_446,i_0_444,i_0_388]) ).
cnf(i_0_505,plain,
memberP(cons(skaf44(X1),sk2),skaf44(X1)),
inference(scs_inference,[],[i_0_372,i_0_379,i_0_385,i_0_466,i_0_330,i_0_316,i_0_317,i_0_318,i_0_306,i_0_315,i_0_319,i_0_387,i_0_423,i_0_446,i_0_444,i_0_388,i_0_439]) ).
cnf(i_0_507,plain,
neq(nil,sk3),
inference(scs_inference,[],[i_0_372,i_0_379,i_0_371,i_0_385,i_0_466,i_0_330,i_0_374,i_0_316,i_0_317,i_0_318,i_0_306,i_0_315,i_0_319,i_0_387,i_0_423,i_0_446,i_0_444,i_0_388,i_0_439,i_0_299]) ).
cnf(i_0_509,plain,
frontsegP(cons(skaf44(X1),sk2),cons(skaf44(X1),sk2)),
inference(scs_inference,[],[i_0_372,i_0_379,i_0_371,i_0_385,i_0_466,i_0_330,i_0_374,i_0_316,i_0_317,i_0_318,i_0_306,i_0_315,i_0_319,i_0_387,i_0_423,i_0_446,i_0_444,i_0_388,i_0_439,i_0_299,i_0_432]) ).
cnf(i_0_545,plain,
ssItem(skaf49(X1)),
inference(equality_inference,[],[540]) ).
cnf(i_0_546,plain,
cyclefreeP(nil),
inference(equality_inference,[],[541]) ).
cnf(i_0_547,plain,
~ lt(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[542]) ).
cnf(i_0_548,plain,
~ lt(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[543]) ).
cnf(i_0_549,plain,
totalorderP(nil),
inference(equality_inference,[],[544]) ).
cnf(i_0_577,plain,
strictorderedP(nil),
inference(equality_inference,[],[572]) ).
cnf(i_0_578,plain,
ssList(skaf42(X1,X2)),
inference(equality_inference,[],[573]) ).
cnf(i_0_579,plain,
duplicatefreeP(nil),
inference(equality_inference,[],[574]) ).
cnf(i_0_580,plain,
equalelemsP(nil),
inference(equality_inference,[],[575]) ).
cnf(i_0_581,plain,
ssItem(skaf50(X1)),
inference(equality_inference,[],[576]) ).
cnf(i_0_609,plain,
~ lt(skaf49(X1),skaf49(X1)),
inference(equality_inference,[],[604]) ).
cnf(i_0_610,plain,
~ lt(skaf49(X1),skaf49(X1)),
inference(equality_inference,[],[605]) ).
cnf(i_0_611,plain,
ssList(skaf43(X1,X2)),
inference(equality_inference,[],[606]) ).
cnf(i_0_641,plain,
ssItem(skaf55(X1)),
inference(equality_inference,[],[636]) ).
cnf(i_0_642,plain,
~ lt(skaf50(X1),skaf50(X1)),
inference(equality_inference,[],[637]) ).
cnf(i_0_643,plain,
~ lt(skaf50(X1),skaf50(X1)),
inference(equality_inference,[],[638]) ).
cnf(i_0_644,plain,
ssList(skaf45(X1,X2)),
inference(equality_inference,[],[639]) ).
cnf(i_0_737,plain,
ssList(skaf48(X1,X2)),
inference(equality_inference,[],[732]) ).
cnf(i_0_769,plain,
~ lt(skaf60(X1),skaf60(X1)),
inference(equality_inference,[],[764]) ).
cnf(i_0_770,plain,
ssList(skaf51(X1)),
inference(equality_inference,[],[765]) ).
cnf(i_0_801,plain,
~ lt(skaf64(X1),skaf64(X1)),
inference(equality_inference,[],[796]) ).
cnf(i_0_802,plain,
~ lt(skaf64(X1),skaf64(X1)),
inference(equality_inference,[],[797]) ).
cnf(i_0_803,plain,
ssList(skaf52(X1)),
inference(equality_inference,[],[798]) ).
cnf(i_0_833,plain,
ssItem(skaf70(X1)),
inference(equality_inference,[],[828]) ).
cnf(i_0_834,plain,
~ lt(skaf65(X1),skaf65(X1)),
inference(equality_inference,[],[829]) ).
cnf(i_0_835,plain,
~ lt(skaf65(X1),skaf65(X1)),
inference(equality_inference,[],[830]) ).
cnf(i_0_836,plain,
ssList(skaf53(X1)),
inference(equality_inference,[],[831]) ).
cnf(i_0_929,plain,
ssList(skaf58(X1)),
inference(equality_inference,[],[924]) ).
cnf(i_0_961,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[956]) ).
cnf(i_0_962,plain,
ssList(skaf61(X1)),
inference(equality_inference,[],[957]) ).
cnf(i_0_982,plain,
skac2 != skac3,
inference(scs_inference,[],[i_0_475,i_0_352,i_0_369,i_0_306,i_0_315,i_0_319,i_0_316,i_0_317,i_0_318,i_0_444,i_0_446,i_0_414]) ).
cnf(i_0_983,plain,
neq(skac2,skac3),
inference(scs_inference,[],[i_0_475,i_0_352,i_0_369,i_0_368,i_0_306,i_0_315,i_0_319,i_0_316,i_0_317,i_0_318,i_0_444,i_0_446,i_0_414,i_0_298]) ).
cnf(i_0_985,plain,
memberP(cons(skac3,sk1),skac3),
inference(scs_inference,[],[i_0_373,i_0_475,i_0_352,i_0_369,i_0_368,i_0_306,i_0_315,i_0_319,i_0_316,i_0_317,i_0_318,i_0_444,i_0_446,i_0_414,i_0_298,i_0_439]) ).
cnf(i_0_987,plain,
frontsegP(cons(skac3,sk1),cons(skac3,sk1)),
inference(scs_inference,[],[i_0_373,i_0_516,i_0_475,i_0_352,i_0_369,i_0_368,i_0_306,i_0_315,i_0_319,i_0_316,i_0_317,i_0_318,i_0_444,i_0_446,i_0_414,i_0_298,i_0_439,i_0_432]) ).
cnf(i_0_1304,plain,
sk1 != nil,
inference(scs_inference,[],[i_0_471,i_0_374,i_0_316,i_0_317,i_0_318,i_0_446,i_0_414]) ).
cnf(i_0_1305,plain,
neq(sk1,nil),
inference(scs_inference,[],[i_0_373,i_0_471,i_0_374,i_0_316,i_0_317,i_0_318,i_0_446,i_0_414,i_0_299]) ).
cnf(i_0_1307,plain,
memberP(cons(skaf64(X1),sk3),skaf64(X1)),
inference(scs_inference,[],[i_0_371,i_0_373,i_0_471,i_0_337,i_0_374,i_0_316,i_0_317,i_0_318,i_0_446,i_0_414,i_0_299,i_0_439]) ).
cnf(i_0_1309,plain,
frontsegP(cons(skaf55(X1),sk1),cons(skaf55(X1),sk1)),
inference(scs_inference,[],[i_0_371,i_0_373,i_0_471,i_0_516,i_0_334,i_0_337,i_0_374,i_0_316,i_0_317,i_0_318,i_0_446,i_0_414,i_0_299,i_0_439,i_0_432]) ).
cnf(i_0_1343,plain,
~ lt(skac3,skac3),
inference(equality_inference,[],[1339]) ).
cnf(i_0_1363,plain,
~ lt(skaf60(X1),skaf60(X1)),
inference(equality_inference,[],[1357]) ).
cnf(i_0_1364,plain,
~ lt(skaf59(X1),skaf59(X1)),
inference(equality_inference,[],[1358]) ).
cnf(i_0_1365,plain,
ssList(nil),
inference(equality_inference,[],[1359]) ).
cnf(i_0_1377,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1371]) ).
cnf(i_0_1378,plain,
~ lt(skaf74(X1),skaf74(X1)),
inference(equality_inference,[],[1372]) ).
cnf(i_0_1379,plain,
ssList(skaf47(X1,X2)),
inference(equality_inference,[],[1373]) ).
cnf(i_0_1389,plain,
~ lt(skac2,skac2),
inference(equality_inference,[],[1385]) ).
cnf(i_0_1401,plain,
~ lt(skaf83(X1),skaf83(X1)),
inference(equality_inference,[],[1395]) ).
cnf(i_0_1402,plain,
ssList(skaf57(X1)),
inference(equality_inference,[],[1396]) ).
cnf(c_0_1329,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_198 ).
cnf(c_0_1330,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_1329]) ).
cnf(c_0_1331,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
i_0_208 ).
cnf(c_0_1332,axiom,
ssList(skaf43(X1,X2)),
i_0_301 ).
cnf(c_0_1333,axiom,
ssList(skaf42(X1,X2)),
i_0_300 ).
cnf(c_0_1334,axiom,
( memberP(cons(X1,X2),X3)
| X3 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
i_0_245 ).
cnf(c_0_1335,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
i_0_329 ).
cnf(c_0_1336,axiom,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_275 ).
cnf(c_0_1337,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_1330,c_0_1331]),c_0_1332]),c_0_1333])]) ).
cnf(c_0_1338,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
i_0_288 ).
cnf(c_0_1339,axiom,
ssItem(skaf83(X1)),
i_0_344 ).
cnf(c_0_1340,axiom,
ssList(skaf82(X1)),
i_0_365 ).
cnf(c_0_1341,plain,
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_1334]) ).
cnf(c_0_1342,plain,
( duplicatefreeP(app(X1,X2))
| ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_1335,c_0_1336]) ).
cnf(c_0_1343,negated_conjecture,
ssList(sk1),
i_0_373 ).
cnf(c_0_1344,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_1337,c_0_1338]),c_0_1339]),c_0_1340])]),c_0_1336]) ).
cnf(c_0_1345,plain,
( nil = X1
| memberP(X1,skaf83(X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1341,c_0_1338]),c_0_1339]),c_0_1340])]) ).
cnf(c_0_1346,negated_conjecture,
( duplicatefreeP(app(X1,sk1))
| ssItem(X2)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_1342,c_0_1343]) ).
cnf(c_0_1347,axiom,
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ strictorderedP(X6)
| ~ ssList(X6) ),
i_0_196 ).
cnf(c_0_1348,plain,
( nil = X1
| ~ duplicatefreeP(app(X1,X1))
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_1344,c_0_1345]) ).
cnf(c_0_1349,negated_conjecture,
( duplicatefreeP(app(sk1,sk1))
| ssItem(X1) ),
inference(spm,[status(thm)],[c_0_1346,c_0_1343]) ).
cnf(c_0_1350,plain,
sk1 != nil,
i_0_1304 ).
cnf(c_0_1351,plain,
( lt(X1,X2)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(er,[status(thm)],[c_0_1347]) ).
cnf(c_0_1352,negated_conjecture,
ssItem(X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1348,c_0_1349]),c_0_1343])]),c_0_1350]) ).
cnf(c_0_1353,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
i_0_262 ).
cnf(c_0_1354,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_266 ).
cnf(c_0_1355,axiom,
ssItem(skaf65(X1)),
i_0_338 ).
cnf(c_0_1356,axiom,
ssItem(skaf64(X1)),
i_0_337 ).
cnf(c_0_1357,plain,
( lt(X1,X2)
| ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1351,c_0_1352]),c_0_1352])]) ).
cnf(c_0_1358,axiom,
( totalorderedP(X1)
| app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
| ~ ssList(X1) ),
i_0_202 ).
cnf(c_0_1359,axiom,
ssList(skaf68(X1)),
i_0_356 ).
cnf(c_0_1360,axiom,
ssList(skaf67(X1)),
i_0_355 ).
cnf(c_0_1361,axiom,
ssList(skaf66(X1)),
i_0_354 ).
cnf(c_0_1362,plain,
( totalorderedP(X1)
| ~ lt(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1354]),c_0_1355]),c_0_1356])]) ).
cnf(c_0_1363,negated_conjecture,
strictorderedP(sk3),
i_0_379 ).
cnf(c_0_1364,negated_conjecture,
sk1 = sk3,
i_0_385 ).
cnf(c_0_1365,negated_conjecture,
~ totalorderedP(sk1),
i_0_367 ).
cnf(c_0_1366,plain,
( totalorderedP(X1)
| ~ strictorderedP(X1)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1357,c_0_1358]),c_0_1359]),c_0_1360]),c_0_1361])]),c_0_1362]) ).
cnf(c_0_1367,negated_conjecture,
strictorderedP(sk1),
inference(rw,[status(thm)],[c_0_1363,c_0_1364]) ).
cnf(c_0_1368,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_1366]),c_0_1367]),c_0_1343])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC264-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n023.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:41:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 154.99/111.25 % Version : CSE_E---1.7
% 154.99/111.25 % Problem : theBenchmark.p
% 154.99/111.25 % SZS status Unsatisfiable for theBenchmark.p
% 154.99/111.25 % SZS output start CNFRefutation
% See solution above
% 164.49/120.79 % Total time : 110.863s
%------------------------------------------------------------------------------