%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWC161-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.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 05:18:32 PM UTC 2026
% Result : Unsatisfiable 139.33s 104.19s
% Output : CNFRefutation 147.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 980)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_18,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
cnf(clause185,axiom,
( ~ leq(X1,X2)
| ~ leq(X2,X1)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ cyclefreeP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause185) ).
cnf(clause183,axiom,
( lt(X2,X4)
| lt(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause183) ).
cnf(clause184,axiom,
( leq(X2,X4)
| leq(X4,X2)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause184) ).
cnf(clause181,axiom,
( lt(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ strictorderedP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause181) ).
cnf(clause182,axiom,
( leq(X2,X4)
| app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ totalorderedP(X6)
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause182) ).
cnf(clause179,axiom,
( app(app(X1,cons(X2,X3)),cons(X2,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ duplicatefreeP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
cnf(clause167,axiom,
( cyclefreeP(X1)
| app(app(skaf51(X1),cons(skaf49(X1),skaf52(X1))),cons(skaf50(X1),skaf53(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause167) ).
cnf(clause166,axiom,
( totalorderP(X1)
| app(app(skaf56(X1),cons(skaf54(X1),skaf57(X1))),cons(skaf55(X1),skaf58(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause166) ).
cnf(clause165,axiom,
( strictorderP(X1)
| app(app(skaf61(X1),cons(skaf59(X1),skaf62(X1))),cons(skaf60(X1),skaf63(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause165) ).
cnf(clause164,axiom,
( totalorderedP(X1)
| app(app(skaf66(X1),cons(skaf64(X1),skaf67(X1))),cons(skaf65(X1),skaf68(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause164) ).
cnf(clause163,axiom,
( strictorderedP(X1)
| app(app(skaf71(X1),cons(skaf69(X1),skaf72(X1))),cons(skaf70(X1),skaf73(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause163) ).
cnf(clause162,axiom,
( duplicatefreeP(X1)
| app(app(skaf75(X1),cons(skaf74(X1),skaf76(X1))),cons(skaf74(X1),skaf77(X1))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause162) ).
cnf(clause180,axiom,
( X2 = X3
| app(X1,cons(X2,cons(X3,X4))) != X5
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ equalelemsP(X5)
| ~ ssList(X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause180) ).
cnf(clause142,axiom,
( equalelemsP(X1)
| app(skaf80(X1),cons(skaf78(X1),cons(skaf79(X1),skaf81(X1)))) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause142) ).
cnf(co1_11,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(X2,cons(X1,nil)) != sk5
| ~ ssItem(X3)
| ~ ssList(X4)
| app(cons(X3,nil),X4) != sk3
| ~ lt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
cnf(co1_12,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != sk6
| ~ ssItem(X3)
| ~ ssList(X4)
| app(X4,cons(X3,nil)) != sk3
| ~ lt(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
cnf(clause168,axiom,
( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause168) ).
cnf(clause169,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
cnf(clause174,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
cnf(clause172,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause172) ).
cnf(clause176,axiom,
( X1 = X3
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).
cnf(clause178,axiom,
( frontsegP(cons(X3,X1),cons(X4,X2))
| ~ frontsegP(X1,X2)
| X3 != X4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X4)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause178) ).
cnf(clause158,axiom,
( memberP(X2,X3)
| memberP(X1,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).
cnf(clause173,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
cnf(clause175,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause175) ).
cnf(clause161,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause161) ).
cnf(clause149,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
cnf(clause157,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
cnf(clause159,axiom,
( totalorderedP(cons(X1,X2))
| nil = X2
| ~ leq(X1,hd(X2))
| ~ totalorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause159) ).
cnf(clause160,axiom,
( strictorderedP(cons(X1,X2))
| nil = X2
| ~ lt(X1,hd(X2))
| ~ strictorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause160) ).
cnf(clause140,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause140) ).
cnf(clause141,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
cnf(clause139,axiom,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause139) ).
cnf(clause137,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
cnf(clause136,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause136) ).
cnf(clause134,axiom,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause134) ).
cnf(clause135,axiom,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause135) ).
cnf(clause146,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause146) ).
cnf(clause155,axiom,
( lt(X1,X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause155) ).
cnf(clause147,axiom,
( lt(X1,X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause147) ).
cnf(clause156,axiom,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause156) ).
cnf(clause154,axiom,
( frontsegP(X1,X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause154) ).
cnf(clause153,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause153) ).
cnf(clause152,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
cnf(clause148,axiom,
( geq(X1,X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause148) ).
cnf(clause131,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
cnf(clause132,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
cnf(clause170,axiom,
( X1 = X3
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause170) ).
cnf(clause171,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).
cnf(clause125,axiom,
( totalorderedP(X2)
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause125) ).
cnf(clause124,axiom,
( strictorderedP(X2)
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause124) ).
cnf(clause151,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
cnf(clause150,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
cnf(clause133,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
cnf(clause138,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause138) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(clause130,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause130) ).
cnf(clause126,axiom,
( X2 = X1
| ~ geq(X1,X2)
| ~ geq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause126) ).
cnf(clause129,axiom,
( X2 = X1
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).
cnf(clause128,axiom,
( X2 = X1
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause128) ).
cnf(clause127,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause127) ).
cnf(clause144,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
cnf(clause143,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
cnf(clause110,axiom,
( ~ gt(X1,X2)
| ~ gt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause110) ).
cnf(clause114,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause114) ).
cnf(co1_22,negated_conjecture,
( ~ leq(sk7,sk12)
| ~ leq(sk12,sk8)
| ~ leq(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
cnf(clause122,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause122) ).
cnf(clause121,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause121) ).
cnf(clause95,axiom,
( totalorderP(X1)
| ~ leq(skaf54(X1),skaf55(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause95) ).
cnf(clause94,axiom,
( totalorderP(X1)
| ~ leq(skaf55(X1),skaf54(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause94) ).
cnf(clause93,axiom,
( strictorderP(X1)
| ~ lt(skaf59(X1),skaf60(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause93) ).
cnf(clause92,axiom,
( strictorderP(X1)
| ~ lt(skaf60(X1),skaf59(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause92) ).
cnf(clause91,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause91) ).
cnf(clause90,axiom,
( strictorderedP(X1)
| ~ lt(skaf69(X1),skaf70(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause90) ).
cnf(clause106,axiom,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause106) ).
cnf(clause105,axiom,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause105) ).
cnf(clause103,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause103) ).
cnf(clause107,axiom,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause107) ).
cnf(clause108,axiom,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause108) ).
cnf(clause123,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
cnf(clause113,axiom,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause113) ).
cnf(clause112,axiom,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause112) ).
cnf(clause177,axiom,
( nil = X2
| X1 = X2
| nil = X1
| tl(X1) != tl(X2)
| hd(X1) != hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause177) ).
cnf(clause97,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause97) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause85,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause117,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause117) ).
cnf(clause111,axiom,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause111) ).
cnf(clause115,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
cnf(clause116,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause119,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).
cnf(clause88,axiom,
( cyclefreeP(X1)
| leq(skaf49(X1),skaf50(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause88) ).
cnf(clause87,axiom,
( cyclefreeP(X1)
| leq(skaf50(X1),skaf49(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause87) ).
cnf(clause99,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause104,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause70,axiom,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause70) ).
cnf(clause69,axiom,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause69) ).
cnf(clause68,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause68) ).
cnf(clause67,axiom,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
cnf(clause66,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
cnf(clause65,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause65) ).
cnf(clause64,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause64) ).
cnf(clause101,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
cnf(clause145,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).
cnf(co1_9,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(clause102,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(clause53,axiom,
ssList(skaf42(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
cnf(clause52,axiom,
ssList(skaf43(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
cnf(clause51,axiom,
ssList(skaf45(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
cnf(clause50,axiom,
ssList(skaf46(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
cnf(clause49,axiom,
ssList(skaf47(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause49) ).
cnf(clause48,axiom,
ssList(skaf48(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause48) ).
cnf(clause63,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause63) ).
cnf(co1_21,negated_conjecture,
( memberP(sk10,sk12)
| ~ leq(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
cnf(clause84,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
cnf(clause82,axiom,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause82) ).
cnf(clause80,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(clause89,axiom,
( equalelemsP(X1)
| skaf79(X1) != skaf78(X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause89) ).
cnf(clause83,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).
cnf(clause81,axiom,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause81) ).
cnf(clause79,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause79) ).
cnf(clause62,axiom,
( leq(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause62) ).
cnf(clause61,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).
cnf(clause59,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).
cnf(clause57,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause57) ).
cnf(clause55,axiom,
( geq(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause55) ).
cnf(co1_20,negated_conjecture,
( ssItem(sk12)
| ~ leq(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause73,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
cnf(clause60,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
cnf(clause58,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).
cnf(clause56,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
cnf(clause78,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
cnf(clause76,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).
cnf(clause77,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
cnf(clause75,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
cnf(clause72,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
cnf(co1_19,negated_conjecture,
leq(sk8,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
cnf(clause47,axiom,
ssItem(skaf44(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
cnf(clause46,axiom,
ssItem(skaf49(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause46) ).
cnf(clause45,axiom,
ssItem(skaf50(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause45) ).
cnf(clause41,axiom,
ssItem(skaf54(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause41) ).
cnf(clause40,axiom,
ssItem(skaf55(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause40) ).
cnf(clause36,axiom,
ssItem(skaf59(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause36) ).
cnf(clause35,axiom,
ssItem(skaf60(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause35) ).
cnf(clause31,axiom,
ssItem(skaf64(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause31) ).
cnf(clause30,axiom,
ssItem(skaf65(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause30) ).
cnf(clause26,axiom,
ssItem(skaf69(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause26) ).
cnf(clause25,axiom,
ssItem(skaf70(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause25) ).
cnf(clause21,axiom,
ssItem(skaf74(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause21) ).
cnf(clause17,axiom,
ssItem(skaf78(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause17) ).
cnf(clause16,axiom,
ssItem(skaf79(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause16) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause44,axiom,
ssList(skaf51(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause44) ).
cnf(clause43,axiom,
ssList(skaf52(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause43) ).
cnf(clause42,axiom,
ssList(skaf53(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause42) ).
cnf(clause39,axiom,
ssList(skaf56(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause39) ).
cnf(clause38,axiom,
ssList(skaf57(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause38) ).
cnf(clause37,axiom,
ssList(skaf58(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause37) ).
cnf(clause34,axiom,
ssList(skaf61(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause34) ).
cnf(clause33,axiom,
ssList(skaf62(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause33) ).
cnf(clause32,axiom,
ssList(skaf63(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause32) ).
cnf(clause29,axiom,
ssList(skaf66(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause29) ).
cnf(clause28,axiom,
ssList(skaf67(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause28) ).
cnf(clause27,axiom,
ssList(skaf68(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause27) ).
cnf(clause24,axiom,
ssList(skaf71(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause24) ).
cnf(clause23,axiom,
ssList(skaf72(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause23) ).
cnf(clause22,axiom,
ssList(skaf73(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause22) ).
cnf(clause20,axiom,
ssList(skaf75(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause20) ).
cnf(clause19,axiom,
ssList(skaf76(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause19) ).
cnf(clause18,axiom,
ssList(skaf77(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause18) ).
cnf(clause15,axiom,
ssList(skaf80(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause15) ).
cnf(clause14,axiom,
ssList(skaf81(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause14) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(clause11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause11) ).
cnf(co1_14,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
cnf(co1_13,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
cnf(clause10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause10) ).
cnf(clause9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause9) ).
cnf(co1_17,negated_conjecture,
ssList(sk11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_16,negated_conjecture,
ssList(sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_15,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_8,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(co1_7,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_4,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
cnf(co1_3,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(clause7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause7) ).
cnf(clause6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause6) ).
cnf(clause5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause5) ).
cnf(clause4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
cnf(co1_10,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
cnf(clause3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).
cnf(clause2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause2) ).
cnf(clause1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause1) ).
cnf(co1_23,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
cnf(clause54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause54) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
cnf(i_0_208,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk1,
co1_18,
[final] ).
cnf(i_0_209,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_210,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_211,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_212,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_213,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_214,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_215,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_216,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_217,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_218,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_219,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_220,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_221,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_222,axiom,
( equalelemsP(X1)
| app(skaf80(X1),cons(skaf78(X1),cons(skaf79(X1),skaf81(X1)))) = X1
| ~ ssList(X1) ),
clause142,
[final] ).
cnf(i_0_223,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(X2,cons(X1,nil)) != sk5
| ~ ssItem(X3)
| ~ ssList(X4)
| app(cons(X3,nil),X4) != sk3
| ~ lt(X1,X3) ),
co1_11,
[final] ).
cnf(i_0_224,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(cons(X1,nil),X2) != sk6
| ~ ssItem(X3)
| ~ ssList(X4)
| app(X4,cons(X3,nil)) != sk3
| ~ lt(X3,X1) ),
co1_12,
[final] ).
cnf(i_0_225,axiom,
( app(app(skaf47(X1,X2),X2),skaf48(X2,X1)) = X1
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause168,
[final] ).
cnf(i_0_226,axiom,
( app(skaf42(X1,X2),cons(X2,skaf43(X2,X1))) = X1
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
clause169,
[final] ).
cnf(i_0_227,axiom,
( frontsegP(X2,X4)
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause174,
[final] ).
cnf(i_0_228,axiom,
( segmentP(app(app(X4,X1),X3),X2)
| ~ segmentP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause172,
[final] ).
cnf(i_0_229,axiom,
( X1 = X3
| ~ frontsegP(cons(X1,X2),cons(X3,X4))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
clause176,
[final] ).
cnf(i_0_230,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_231,axiom,
( memberP(X2,X3)
| memberP(X1,X3)
| ~ memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
clause158,
[final] ).
cnf(i_0_232,axiom,
( segmentP(X4,X2)
| app(app(X1,X2),X3) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4) ),
clause173,
[final] ).
cnf(i_0_233,axiom,
( memberP(X4,X2)
| app(X1,cons(X2,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X4) ),
clause175,
[final] ).
cnf(i_0_234,axiom,
( memberP(X2,X3)
| X3 = X1
| ~ memberP(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
clause161,
[final] ).
cnf(i_0_235,axiom,
( app(app(X3,X2),X1) = app(X3,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause149,
[final] ).
cnf(i_0_236,axiom,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause157,
[final] ).
cnf(i_0_237,axiom,
( totalorderedP(cons(X1,X2))
| nil = X2
| ~ leq(X1,hd(X2))
| ~ totalorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause159,
[final] ).
cnf(i_0_238,axiom,
( strictorderedP(cons(X1,X2))
| nil = X2
| ~ lt(X1,hd(X2))
| ~ strictorderedP(X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause160,
[final] ).
cnf(i_0_239,axiom,
( memberP(app(X1,X3),X2)
| ~ memberP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause140,
[final] ).
cnf(i_0_240,axiom,
( memberP(app(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
clause141,
[final] ).
cnf(i_0_241,axiom,
( memberP(cons(X3,X1),X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2) ),
clause139,
[final] ).
cnf(i_0_242,axiom,
( frontsegP(app(X1,X3),X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause137,
[final] ).
cnf(i_0_243,axiom,
( rearsegP(app(X3,X1),X2)
| ~ rearsegP(X1,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause136,
[final] ).
cnf(i_0_244,axiom,
( lt(X1,hd(X2))
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause134,
[final] ).
cnf(i_0_245,axiom,
( leq(X1,hd(X2))
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause135,
[final] ).
cnf(i_0_246,axiom,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause146,
[final] ).
cnf(i_0_247,axiom,
( lt(X1,X3)
| ~ lt(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause155,
[final] ).
cnf(i_0_248,axiom,
( lt(X1,X3)
| ~ leq(X1,X2)
| ~ lt(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause147,
[final] ).
cnf(i_0_249,axiom,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause156,
[final] ).
cnf(i_0_250,axiom,
( frontsegP(X1,X3)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause154,
[final] ).
cnf(i_0_251,axiom,
( rearsegP(X1,X3)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause153,
[final] ).
cnf(i_0_252,axiom,
( segmentP(X1,X3)
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause152,
[final] ).
cnf(i_0_253,axiom,
( geq(X1,X3)
| ~ geq(X1,X2)
| ~ geq(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause148,
[final] ).
cnf(i_0_254,axiom,
( app(skaf46(X1,X2),X2) = X1
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause131,
[final] ).
cnf(i_0_255,axiom,
( app(X2,skaf45(X1,X2)) = X1
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause132,
[final] ).
cnf(i_0_256,axiom,
( X1 = X3
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause170,
[final] ).
cnf(i_0_257,axiom,
( X4 = X2
| cons(X1,X2) != cons(X3,X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X2) ),
clause171,
[final] ).
cnf(i_0_258,axiom,
( totalorderedP(X2)
| nil = X2
| ~ totalorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause125,
[final] ).
cnf(i_0_259,axiom,
( strictorderedP(X2)
| nil = X2
| ~ strictorderedP(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
clause124,
[final] ).
cnf(i_0_260,axiom,
( X1 = X3
| app(X1,X2) != app(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause151,
[final] ).
cnf(i_0_261,axiom,
( X2 = X3
| app(X1,X2) != app(X1,X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause150,
[final] ).
cnf(i_0_262,axiom,
( nil = X2
| tl(app(X2,X1)) = app(tl(X2),X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause133,
[final] ).
cnf(i_0_263,axiom,
( memberP(cons(X2,X3),X1)
| X1 != X2
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause138,
[final] ).
cnf(i_0_264,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause120,
[final] ).
cnf(i_0_265,axiom,
( X2 = X1
| ~ leq(X1,X2)
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause130,
[final] ).
cnf(i_0_266,axiom,
( X2 = X1
| ~ geq(X1,X2)
| ~ geq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause126,
[final] ).
cnf(i_0_267,axiom,
( X2 = X1
| ~ frontsegP(X1,X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause129,
[final] ).
cnf(i_0_268,axiom,
( X2 = X1
| ~ rearsegP(X1,X2)
| ~ rearsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause128,
[final] ).
cnf(i_0_269,axiom,
( X2 = X1
| ~ segmentP(X1,X2)
| ~ segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause127,
[final] ).
cnf(i_0_270,axiom,
( frontsegP(X3,X1)
| app(X1,X2) != X3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
clause144,
[final] ).
cnf(i_0_271,axiom,
( rearsegP(X3,X2)
| app(X1,X2) != X3
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
clause143,
[final] ).
cnf(i_0_272,axiom,
( ~ gt(X1,X2)
| ~ gt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause110,
[final] ).
cnf(i_0_273,axiom,
( ~ lt(X1,X2)
| ~ lt(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause114,
[final] ).
cnf(i_0_274,negated_conjecture,
( ~ leq(sk7,sk12)
| ~ leq(sk12,sk8)
| ~ leq(sk7,sk8) ),
co1_22,
[final] ).
cnf(i_0_275,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause122,
[final] ).
cnf(i_0_276,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause121,
[final] ).
cnf(i_0_277,axiom,
( totalorderP(X1)
| ~ leq(skaf54(X1),skaf55(X1))
| ~ ssList(X1) ),
clause95,
[final] ).
cnf(i_0_278,axiom,
( totalorderP(X1)
| ~ leq(skaf55(X1),skaf54(X1))
| ~ ssList(X1) ),
clause94,
[final] ).
cnf(i_0_279,axiom,
( strictorderP(X1)
| ~ lt(skaf59(X1),skaf60(X1))
| ~ ssList(X1) ),
clause93,
[final] ).
cnf(i_0_280,axiom,
( strictorderP(X1)
| ~ lt(skaf60(X1),skaf59(X1))
| ~ ssList(X1) ),
clause92,
[final] ).
cnf(i_0_281,axiom,
( totalorderedP(X1)
| ~ leq(skaf64(X1),skaf65(X1))
| ~ ssList(X1) ),
clause91,
[final] ).
cnf(i_0_282,axiom,
( strictorderedP(X1)
| ~ lt(skaf69(X1),skaf70(X1))
| ~ ssList(X1) ),
clause90,
[final] ).
cnf(i_0_283,axiom,
( gt(X2,X1)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause106,
[final] ).
cnf(i_0_284,axiom,
( lt(X2,X1)
| ~ gt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause105,
[final] ).
cnf(i_0_285,axiom,
( leq(X1,X2)
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause103,
[final] ).
cnf(i_0_286,axiom,
( leq(X2,X1)
| ~ geq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause107,
[final] ).
cnf(i_0_287,axiom,
( geq(X2,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause108,
[final] ).
cnf(i_0_288,axiom,
( nil = X2
| hd(app(X2,X1)) = hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause123,
[final] ).
cnf(i_0_289,axiom,
( totalorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause113,
[final] ).
cnf(i_0_290,axiom,
( strictorderedP(cons(X2,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
clause112,
[final] ).
cnf(i_0_291,axiom,
( nil = X2
| X1 = X2
| nil = X1
| tl(X1) != tl(X2)
| hd(X1) != hd(X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
clause177,
[final] ).
cnf(i_0_292,axiom,
( hd(cons(X1,X2)) = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause97,
[final] ).
cnf(i_0_293,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause96,
[final] ).
cnf(i_0_294,axiom,
( ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2) ),
clause85,
[final] ).
cnf(i_0_295,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause86,
[final] ).
cnf(i_0_296,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause117,
[final] ).
cnf(i_0_297,axiom,
( X1 != X2
| ~ lt(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
clause111,
[final] ).
cnf(i_0_298,axiom,
( X1 != X2
| ~ neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
clause115,
[final] ).
cnf(i_0_299,axiom,
( singletonP(X2)
| cons(X1,nil) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause116,
[final] ).
cnf(i_0_300,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause118,
[final] ).
cnf(i_0_301,axiom,
( nil = X2
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
clause119,
[final] ).
cnf(i_0_302,axiom,
( cyclefreeP(X1)
| leq(skaf49(X1),skaf50(X1))
| ~ ssList(X1) ),
clause88,
[final] ).
cnf(i_0_303,axiom,
( cyclefreeP(X1)
| leq(skaf50(X1),skaf49(X1))
| ~ ssList(X1) ),
clause87,
[final] ).
cnf(i_0_304,axiom,
( cons(X1,X2) != X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause99,
[final] ).
cnf(i_0_305,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
clause98,
[final] ).
cnf(i_0_306,axiom,
( cons(hd(X1),tl(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause104,
[final] ).
cnf(i_0_307,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
clause109,
[final] ).
cnf(i_0_308,axiom,
( cyclefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause70,
[final] ).
cnf(i_0_309,axiom,
( totalorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause69,
[final] ).
cnf(i_0_310,axiom,
( strictorderP(cons(X1,nil))
| ~ ssItem(X1) ),
clause68,
[final] ).
cnf(i_0_311,axiom,
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause67,
[final] ).
cnf(i_0_312,axiom,
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) ),
clause66,
[final] ).
cnf(i_0_313,axiom,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
clause65,
[final] ).
cnf(i_0_314,axiom,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
clause64,
[final] ).
cnf(i_0_315,axiom,
( cons(skaf44(X1),nil) = X1
| ~ singletonP(X1)
| ~ ssList(X1) ),
clause101,
[final] ).
cnf(i_0_316,axiom,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
clause145,
[final] ).
cnf(i_0_317,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4,
co1_9,
[final] ).
cnf(i_0_318,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssItem(X1)
| ~ ssItem(X2) ),
clause102,
[final] ).
cnf(i_0_319,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
clause100,
[final] ).
cnf(i_0_320,axiom,
ssList(skaf42(X1,X2)),
clause53,
[final] ).
cnf(i_0_321,axiom,
ssList(skaf43(X1,X2)),
clause52,
[final] ).
cnf(i_0_322,axiom,
ssList(skaf45(X1,X2)),
clause51,
[final] ).
cnf(i_0_323,axiom,
ssList(skaf46(X1,X2)),
clause50,
[final] ).
cnf(i_0_324,axiom,
ssList(skaf47(X1,X2)),
clause49,
[final] ).
cnf(i_0_325,axiom,
ssList(skaf48(X1,X2)),
clause48,
[final] ).
cnf(i_0_326,axiom,
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
clause63,
[final] ).
cnf(i_0_327,negated_conjecture,
( memberP(sk10,sk12)
| ~ leq(sk7,sk8) ),
co1_21,
[final] ).
cnf(i_0_328,axiom,
( nil = X1
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
clause84,
[final] ).
cnf(i_0_329,axiom,
( nil = X1
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
clause82,
[final] ).
cnf(i_0_330,axiom,
( nil = X1
| ~ segmentP(nil,X1)
| ~ ssList(X1) ),
clause80,
[final] ).
cnf(i_0_331,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
clause71,
[final] ).
cnf(i_0_332,axiom,
( equalelemsP(X1)
| skaf79(X1) != skaf78(X1)
| ~ ssList(X1) ),
clause89,
[final] ).
cnf(i_0_333,axiom,
( frontsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause83,
[final] ).
cnf(i_0_334,axiom,
( rearsegP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause81,
[final] ).
cnf(i_0_335,axiom,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
clause79,
[final] ).
cnf(i_0_336,axiom,
( leq(X1,X1)
| ~ ssItem(X1) ),
clause62,
[final] ).
cnf(i_0_337,axiom,
( frontsegP(X1,X1)
| ~ ssList(X1) ),
clause61,
[final] ).
cnf(i_0_338,axiom,
( rearsegP(X1,X1)
| ~ ssList(X1) ),
clause59,
[final] ).
cnf(i_0_339,axiom,
( segmentP(X1,X1)
| ~ ssList(X1) ),
clause57,
[final] ).
cnf(i_0_340,axiom,
( geq(X1,X1)
| ~ ssItem(X1) ),
clause55,
[final] ).
cnf(i_0_341,negated_conjecture,
( ssItem(sk12)
| ~ leq(sk7,sk8) ),
co1_20,
[final] ).
cnf(i_0_342,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
clause74,
[final] ).
cnf(i_0_343,axiom,
( app(X1,nil) = X1
| ~ ssList(X1) ),
clause73,
[final] ).
cnf(i_0_344,axiom,
( frontsegP(X1,nil)
| ~ ssList(X1) ),
clause60,
[final] ).
cnf(i_0_345,axiom,
( rearsegP(X1,nil)
| ~ ssList(X1) ),
clause58,
[final] ).
cnf(i_0_346,axiom,
( segmentP(X1,nil)
| ~ ssList(X1) ),
clause56,
[final] ).
cnf(i_0_347,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause78,
[final] ).
cnf(i_0_348,axiom,
( ssItem(hd(X1))
| nil = X1
| ~ ssList(X1) ),
clause76,
[final] ).
cnf(i_0_349,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause77,
[final] ).
cnf(i_0_350,axiom,
( ssList(tl(X1))
| nil = X1
| ~ ssList(X1) ),
clause75,
[final] ).
cnf(i_0_351,axiom,
( duplicatefreeP(X1)
| ssItem(X2)
| ~ ssList(X1) ),
clause72,
[final] ).
cnf(i_0_352,negated_conjecture,
leq(sk8,sk7),
co1_19,
[final] ).
cnf(i_0_353,axiom,
ssItem(skaf44(X1)),
clause47,
[final] ).
cnf(i_0_354,axiom,
ssItem(skaf49(X1)),
clause46,
[final] ).
cnf(i_0_355,axiom,
ssItem(skaf50(X1)),
clause45,
[final] ).
cnf(i_0_356,axiom,
ssItem(skaf54(X1)),
clause41,
[final] ).
cnf(i_0_357,axiom,
ssItem(skaf55(X1)),
clause40,
[final] ).
cnf(i_0_358,axiom,
ssItem(skaf59(X1)),
clause36,
[final] ).
cnf(i_0_359,axiom,
ssItem(skaf60(X1)),
clause35,
[final] ).
cnf(i_0_360,axiom,
ssItem(skaf64(X1)),
clause31,
[final] ).
cnf(i_0_361,axiom,
ssItem(skaf65(X1)),
clause30,
[final] ).
cnf(i_0_362,axiom,
ssItem(skaf69(X1)),
clause26,
[final] ).
cnf(i_0_363,axiom,
ssItem(skaf70(X1)),
clause25,
[final] ).
cnf(i_0_364,axiom,
ssItem(skaf74(X1)),
clause21,
[final] ).
cnf(i_0_365,axiom,
ssItem(skaf78(X1)),
clause17,
[final] ).
cnf(i_0_366,axiom,
ssItem(skaf79(X1)),
clause16,
[final] ).
cnf(i_0_367,axiom,
ssItem(skaf83(X1)),
clause12,
[final] ).
cnf(i_0_368,axiom,
ssList(skaf51(X1)),
clause44,
[final] ).
cnf(i_0_369,axiom,
ssList(skaf52(X1)),
clause43,
[final] ).
cnf(i_0_370,axiom,
ssList(skaf53(X1)),
clause42,
[final] ).
cnf(i_0_371,axiom,
ssList(skaf56(X1)),
clause39,
[final] ).
cnf(i_0_372,axiom,
ssList(skaf57(X1)),
clause38,
[final] ).
cnf(i_0_373,axiom,
ssList(skaf58(X1)),
clause37,
[final] ).
cnf(i_0_374,axiom,
ssList(skaf61(X1)),
clause34,
[final] ).
cnf(i_0_375,axiom,
ssList(skaf62(X1)),
clause33,
[final] ).
cnf(i_0_376,axiom,
ssList(skaf63(X1)),
clause32,
[final] ).
cnf(i_0_377,axiom,
ssList(skaf66(X1)),
clause29,
[final] ).
cnf(i_0_378,axiom,
ssList(skaf67(X1)),
clause28,
[final] ).
cnf(i_0_379,axiom,
ssList(skaf68(X1)),
clause27,
[final] ).
cnf(i_0_380,axiom,
ssList(skaf71(X1)),
clause24,
[final] ).
cnf(i_0_381,axiom,
ssList(skaf72(X1)),
clause23,
[final] ).
cnf(i_0_382,axiom,
ssList(skaf73(X1)),
clause22,
[final] ).
cnf(i_0_383,axiom,
ssList(skaf75(X1)),
clause20,
[final] ).
cnf(i_0_384,axiom,
ssList(skaf76(X1)),
clause19,
[final] ).
cnf(i_0_385,axiom,
ssList(skaf77(X1)),
clause18,
[final] ).
cnf(i_0_386,axiom,
ssList(skaf80(X1)),
clause15,
[final] ).
cnf(i_0_387,axiom,
ssList(skaf81(X1)),
clause14,
[final] ).
cnf(i_0_388,axiom,
ssList(skaf82(X1)),
clause13,
[final] ).
cnf(i_0_389,axiom,
~ singletonP(nil),
clause11,
[final] ).
cnf(i_0_390,negated_conjecture,
ssItem(sk8),
co1_14,
[final] ).
cnf(i_0_391,negated_conjecture,
ssItem(sk7),
co1_13,
[final] ).
cnf(i_0_392,axiom,
ssItem(skac2),
clause10,
[final] ).
cnf(i_0_393,axiom,
ssItem(skac3),
clause9,
[final] ).
cnf(i_0_394,negated_conjecture,
ssList(sk11),
co1_17,
[final] ).
cnf(i_0_395,negated_conjecture,
ssList(sk10),
co1_16,
[final] ).
cnf(i_0_396,negated_conjecture,
ssList(sk9),
co1_15,
[final] ).
cnf(i_0_397,negated_conjecture,
ssList(sk6),
co1_8,
[final] ).
cnf(i_0_398,negated_conjecture,
ssList(sk5),
co1_7,
[final] ).
cnf(i_0_399,negated_conjecture,
ssList(sk4),
co1_4,
[final] ).
cnf(i_0_400,negated_conjecture,
ssList(sk3),
co1_3,
[final] ).
cnf(i_0_401,negated_conjecture,
ssList(sk2),
co1_2,
[final] ).
cnf(i_0_402,negated_conjecture,
ssList(sk1),
co1_1,
[final] ).
cnf(i_0_403,axiom,
ssList(nil),
clause8,
[final] ).
cnf(i_0_404,axiom,
cyclefreeP(nil),
clause7,
[final] ).
cnf(i_0_405,axiom,
totalorderP(nil),
clause6,
[final] ).
cnf(i_0_406,axiom,
strictorderP(nil),
clause5,
[final] ).
cnf(i_0_407,axiom,
totalorderedP(nil),
clause4,
[final] ).
cnf(i_0_408,negated_conjecture,
strictorderedP(sk3),
co1_10,
[final] ).
cnf(i_0_409,axiom,
strictorderedP(nil),
clause3,
[final] ).
cnf(i_0_410,axiom,
duplicatefreeP(nil),
clause2,
[final] ).
cnf(i_0_411,axiom,
equalelemsP(nil),
clause1,
[final] ).
cnf(i_0_412,negated_conjecture,
( nil = sk4
| nil != sk3 ),
co1_23,
[final] ).
cnf(i_0_413,axiom,
skac3 != skac2,
clause54,
[final] ).
cnf(i_0_414,negated_conjecture,
sk2 = sk4,
co1_5,
[final] ).
cnf(i_0_415,negated_conjecture,
sk1 = sk3,
co1_6,
[final] ).
cnf(i_0_416,axiom,
X1 = X1 ).
cnf(i_0_417,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_418,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_419,axiom,
( X1 != X2
| app(X1,X3) = app(X2,X3) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| app(X3,X1) = app(X3,X2) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| cons(X1,X3) = cons(X2,X3) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| cons(X3,X1) = cons(X3,X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| skaf78(X1) = skaf78(X2) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| skaf79(X1) = skaf79(X2) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| hd(X1) = hd(X2) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| tl(X1) = tl(X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ duplicatefreeP(X1)
| duplicatefreeP(X2) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ equalelemsP(X1)
| equalelemsP(X2) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| ~ segmentP(X1,X3)
| segmentP(X2,X3) ) ).
cnf(i_0_432,axiom,
( X1 != X2
| ~ segmentP(X3,X1)
| segmentP(X3,X2) ) ).
cnf(i_0_433,axiom,
( X1 != X2
| ~ memberP(X1,X3)
| memberP(X2,X3) ) ).
cnf(i_0_434,axiom,
( X1 != X2
| ~ memberP(X3,X1)
| memberP(X3,X2) ) ).
cnf(i_0_435,axiom,
( X1 != X2
| ~ frontsegP(X1,X3)
| frontsegP(X2,X3) ) ).
cnf(i_0_436,axiom,
( X1 != X2
| ~ frontsegP(X3,X1)
| frontsegP(X3,X2) ) ).
cnf(i_0_437,axiom,
( X1 != X2
| ~ rearsegP(X1,X3)
| rearsegP(X2,X3) ) ).
cnf(i_0_438,axiom,
( X1 != X2
| ~ rearsegP(X3,X1)
| rearsegP(X3,X2) ) ).
cnf(i_0_439,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_440,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_441,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_442,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_443,axiom,
( X1 != X2
| ~ neq(X1,X3)
| neq(X2,X3) ) ).
cnf(i_0_444,axiom,
( X1 != X2
| ~ neq(X3,X1)
| neq(X3,X2) ) ).
cnf(i_0_445,axiom,
( X1 != X2
| ~ singletonP(X1)
| singletonP(X2) ) ).
cnf(i_0_446,axiom,
( X1 != X2
| ~ ssList(X1)
| ssList(X2) ) ).
cnf(i_0_447,axiom,
( X1 != X2
| ~ ssItem(X1)
| ssItem(X2) ) ).
cnf(i_0_448,axiom,
( X1 != X2
| ~ cyclefreeP(X1)
| cyclefreeP(X2) ) ).
cnf(i_0_449,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_450,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_451,axiom,
( X1 != X2
| ~ strictorderP(X1)
| strictorderP(X2) ) ).
cnf(i_0_452,axiom,
( X1 != X2
| ~ totalorderP(X1)
| totalorderP(X2) ) ).
cnf(i_0_453,axiom,
( X1 != X2
| ~ strictorderedP(X1)
| strictorderedP(X2) ) ).
cnf(i_0_454,axiom,
( X1 != X2
| ~ totalorderedP(X1)
| totalorderedP(X2) ) ).
cnf(i_0_985,plain,
~ lt(skaf74(X1),skaf74(X1)),
inference(equality_inference,[],[980]) ).
cnf(i_0_986,plain,
~ lt(skaf74(X1),skaf74(X1)),
inference(equality_inference,[],[981]) ).
cnf(i_0_987,plain,
ssList(skaf48(X1,X2)),
inference(equality_inference,[],[982]) ).
cnf(i_0_1017,plain,
ssItem(skaf79(X1)),
inference(equality_inference,[],[1012]) ).
cnf(i_0_1018,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1013]) ).
cnf(i_0_1019,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1014]) ).
cnf(i_0_1020,plain,
ssList(skaf51(X1)),
inference(equality_inference,[],[1015]) ).
cnf(i_0_1102,plain,
skac2 != skac3,
inference(scs_inference,[],[i_0_503,i_0_371,i_0_393,i_0_326,i_0_336,i_0_340,i_0_337,i_0_338,i_0_339,i_0_474,i_0_476,i_0_444]) ).
cnf(i_0_1103,plain,
neq(skac2,skac3),
inference(scs_inference,[],[i_0_503,i_0_371,i_0_393,i_0_392,i_0_326,i_0_336,i_0_340,i_0_337,i_0_338,i_0_339,i_0_474,i_0_476,i_0_444,i_0_318]) ).
cnf(i_0_1105,plain,
memberP(cons(skac3,sk2),skac3),
inference(scs_inference,[],[i_0_401,i_0_503,i_0_371,i_0_393,i_0_392,i_0_326,i_0_336,i_0_340,i_0_337,i_0_338,i_0_339,i_0_474,i_0_476,i_0_444,i_0_318,i_0_469]) ).
cnf(i_0_1107,plain,
frontsegP(cons(sk7,skaf56(X1)),cons(sk7,skaf56(X1))),
inference(scs_inference,[],[i_0_401,i_0_391,i_0_503,i_0_371,i_0_393,i_0_392,i_0_326,i_0_336,i_0_340,i_0_337,i_0_338,i_0_339,i_0_474,i_0_476,i_0_444,i_0_318,i_0_469,i_0_462]) ).
cnf(i_0_1557,plain,
ssList(nil),
inference(equality_inference,[],[1539]) ).
cnf(i_0_1575,plain,
~ lt(skac3,skac3),
inference(equality_inference,[],[1571]) ).
cnf(i_0_1597,plain,
ssList(skaf58(X1)),
inference(equality_inference,[],[1579]) ).
cnf(i_0_1611,plain,
ssItem(skaf44(X1)),
inference(equality_inference,[],[1603]) ).
cnf(i_0_1612,plain,
~ lt(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[1604]) ).
cnf(i_0_1613,plain,
leq(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[1606]) ).
cnf(i_0_1614,plain,
geq(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[1608]) ).
cnf(i_0_1636,plain,
ssList(skaf62(X1)),
inference(equality_inference,[],[1618]) ).
cnf(i_0_1655,plain,
~ lt(skac3,skac3),
inference(equality_inference,[],[1651]) ).
cnf(i_0_1677,plain,
ssList(skaf63(X1)),
inference(equality_inference,[],[1659]) ).
cnf(i_0_1687,plain,
~ lt(skaf70(X1),skaf70(X1)),
inference(equality_inference,[],[1681]) ).
cnf(i_0_1688,plain,
~ lt(skaf69(X1),skaf69(X1)),
inference(equality_inference,[],[1682]) ).
cnf(i_0_1689,plain,
ssItem(skaf49(X1)),
inference(equality_inference,[],[1683]) ).
cnf(i_0_1690,plain,
ssList(skaf66(X1)),
inference(equality_inference,[],[1684]) ).
cnf(i_0_1704,plain,
ssItem(skaf78(X1)),
inference(equality_inference,[],[1696]) ).
cnf(i_0_1705,plain,
~ lt(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1697]) ).
cnf(i_0_1706,plain,
leq(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1699]) ).
cnf(i_0_1707,plain,
geq(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1701]) ).
cnf(i_0_1729,plain,
ssList(skaf68(X1)),
inference(equality_inference,[],[1711]) ).
cnf(i_0_1759,plain,
ssList(skaf72(X1)),
inference(equality_inference,[],[1741]) ).
cnf(i_0_1790,plain,
ssList(skaf75(X1)),
inference(equality_inference,[],[1772]) ).
cnf(i_0_1820,plain,
ssList(skaf77(X1)),
inference(equality_inference,[],[1802]) ).
cnf(i_0_1851,plain,
ssList(skaf42(X1,X2)),
inference(equality_inference,[],[1833]) ).
cnf(i_0_1881,plain,
ssList(skaf53(X1)),
inference(equality_inference,[],[1863]) ).
cnf(i_0_1911,plain,
ssList(skaf57(X1)),
inference(equality_inference,[],[1893]) ).
cnf(i_0_1942,plain,
ssList(skaf61(X1)),
inference(equality_inference,[],[1924]) ).
cnf(i_0_1973,plain,
ssList(skaf71(X1)),
inference(equality_inference,[],[1955]) ).
cnf(i_0_2003,plain,
ssList(skaf73(X1)),
inference(equality_inference,[],[1985]) ).
cnf(i_0_2033,plain,
ssList(skaf76(X1)),
inference(equality_inference,[],[2015]) ).
cnf(i_0_2141,plain,
ssList(skaf67(X1)),
inference(equality_inference,[],[2123]) ).
cnf(i_0_2423,plain,
~ neq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_970]) ).
cnf(i_0_2425,plain,
~ neq(skaf78(X1),skaf78(X1)),
inference(rename_variables,[],[i_0_970]) ).
cnf(i_0_2581,plain,
memberP(cons(skaf78(X1),sk2),skaf78(X1)),
inference(rename_variables,[],[i_0_974]) ).
cnf(i_0_2717,plain,
memberP(cons(skaf79(X1),sk1),skaf79(X1)),
inference(rename_variables,[],[i_0_1006]) ).
cnf(i_0_2838,plain,
memberP(cons(skaf79(X1),sk2),skaf79(X1)),
inference(rename_variables,[],[i_0_1402]) ).
cnf(i_0_2966,plain,
memberP(cons(skaf78(X1),sk1),skaf78(X1)),
inference(rename_variables,[],[i_0_1255]) ).
cnf(i_0_3097,plain,
memberP(cons(skaf79(X1),sk1),skaf79(X1)),
inference(rename_variables,[],[i_0_1006]) ).
cnf(i_0_3201,plain,
memberP(cons(skaf78(X1),sk2),skaf78(X1)),
inference(rename_variables,[],[i_0_974]) ).
cnf(i_0_3256,plain,
memberP(cons(skaf44(X1),sk1),skaf44(X1)),
inference(rename_variables,[],[i_0_1129]) ).
cnf(i_0_3362,plain,
memberP(cons(skaf79(X1),sk2),skaf79(X1)),
inference(rename_variables,[],[i_0_1402]) ).
cnf(i_0_584,plain,
equalelemsP(nil),
inference(equality_inference,[],[579]) ).
cnf(i_0_585,plain,
ssItem(sk7),
inference(equality_inference,[],[580]) ).
cnf(i_0_586,plain,
cyclefreeP(nil),
inference(equality_inference,[],[581]) ).
cnf(i_0_587,plain,
~ lt(sk7,sk7),
inference(equality_inference,[],[582]) ).
cnf(i_0_588,plain,
~ lt(sk7,sk7),
inference(equality_inference,[],[583]) ).
cnf(i_0_619,plain,
ssList(sk10),
inference(equality_inference,[],[614]) ).
cnf(i_0_620,plain,
ssItem(sk8),
inference(equality_inference,[],[615]) ).
cnf(i_0_621,plain,
~ lt(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[616]) ).
cnf(i_0_622,plain,
~ lt(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[617]) ).
cnf(i_0_623,plain,
strictorderedP(nil),
inference(equality_inference,[],[618]) ).
cnf(i_0_656,plain,
ssList(sk9),
inference(equality_inference,[],[650]) ).
cnf(i_0_657,plain,
ssItem(skaf50(X1)),
inference(equality_inference,[],[651]) ).
cnf(i_0_658,plain,
~ lt(skaf49(X1),skaf49(X1)),
inference(equality_inference,[],[652]) ).
cnf(i_0_659,plain,
~ lt(skaf49(X1),skaf49(X1)),
inference(equality_inference,[],[653]) ).
cnf(i_0_677,plain,
~ neq(app(app(sk5,sk3),sk6),app(app(sk5,sk3),sk6)),
inference(scs_inference,[],[i_0_395,i_0_568,i_0_607,i_0_356,i_0_337,i_0_338,i_0_339,i_0_326,i_0_336,i_0_340,i_0_417,i_0_474,i_0_476,i_0_443]) ).
cnf(i_0_678,plain,
~ neq(sk3,sk1),
inference(scs_inference,[],[i_0_415,i_0_395,i_0_568,i_0_607,i_0_602,i_0_356,i_0_337,i_0_338,i_0_339,i_0_326,i_0_336,i_0_340,i_0_417,i_0_474,i_0_476,i_0_443,i_0_444]) ).
cnf(i_0_679,plain,
memberP(cons(skaf54(X1),sk1),skaf54(X1)),
inference(scs_inference,[],[i_0_402,i_0_415,i_0_395,i_0_568,i_0_607,i_0_602,i_0_356,i_0_337,i_0_338,i_0_339,i_0_326,i_0_336,i_0_340,i_0_417,i_0_474,i_0_476,i_0_443,i_0_444,i_0_469]) ).
cnf(i_0_681,plain,
frontsegP(cons(sk7,sk3),cons(sk7,sk3)),
inference(scs_inference,[],[i_0_402,i_0_400,i_0_415,i_0_391,i_0_395,i_0_568,i_0_607,i_0_602,i_0_624,i_0_356,i_0_337,i_0_338,i_0_339,i_0_326,i_0_336,i_0_340,i_0_417,i_0_474,i_0_476,i_0_443,i_0_444,i_0_469,i_0_462]) ).
cnf(i_0_714,plain,
ssList(app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11)),
inference(scs_inference,[],[i_0_400,i_0_396,i_0_398,i_0_636,i_0_357,i_0_326,i_0_337,i_0_338,i_0_339,i_0_336,i_0_340,i_0_474,i_0_476,i_0_446]) ).
cnf(i_0_797,plain,
~ neq(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[792]) ).
cnf(i_0_825,plain,
ssList(sk11),
inference(equality_inference,[],[820]) ).
cnf(i_0_826,plain,
ssItem(skaf64(X1)),
inference(equality_inference,[],[821]) ).
cnf(i_0_827,plain,
~ lt(skaf60(X1),skaf60(X1)),
inference(equality_inference,[],[822]) ).
cnf(i_0_828,plain,
~ lt(skaf60(X1),skaf60(X1)),
inference(equality_inference,[],[823]) ).
cnf(i_0_829,plain,
~ neq(skaf49(X1),skaf49(X1)),
inference(equality_inference,[],[824]) ).
cnf(i_0_889,plain,
ssList(skaf45(X1,X2)),
inference(equality_inference,[],[884]) ).
cnf(i_0_955,plain,
~ neq(skaf59(X1),skaf59(X1)),
inference(equality_inference,[],[950]) ).
cnf(i_0_956,plain,
~ neq(skaf59(X1),skaf59(X1)),
inference(equality_inference,[],[951]) ).
cnf(i_0_957,plain,
ssItem(skaf74(X1)),
inference(equality_inference,[],[952]) ).
cnf(i_0_988,plain,
~ neq(skaf60(X1),skaf60(X1)),
inference(equality_inference,[],[983]) ).
cnf(i_0_989,plain,
~ neq(skaf60(X1),skaf60(X1)),
inference(equality_inference,[],[984]) ).
cnf(i_0_1040,plain,
frontsegP(cons(sk7,app(app(sk5,sk3),sk6)),cons(sk7,app(app(sk5,sk3),sk6))),
inference(scs_inference,[],[i_0_401,i_0_391,i_0_747,i_0_802,i_0_367,i_0_369,i_0_326,i_0_336,i_0_340,i_0_337,i_0_338,i_0_339,i_0_474,i_0_476,i_0_469,i_0_462]) ).
cnf(i_0_1081,plain,
~ neq(skaf65(X1),skaf65(X1)),
inference(equality_inference,[],[1076]) ).
cnf(i_0_1082,plain,
~ neq(skaf65(X1),skaf65(X1)),
inference(equality_inference,[],[1077]) ).
cnf(i_0_1083,plain,
ssItem(skac2),
inference(equality_inference,[],[1078]) ).
cnf(i_0_1084,plain,
~ lt(skaf83(X1),skaf83(X1)),
inference(equality_inference,[],[1079]) ).
cnf(i_0_1085,plain,
~ lt(skaf83(X1),skaf83(X1)),
inference(equality_inference,[],[1080]) ).
cnf(i_0_1116,plain,
ssList(skaf56(X1)),
inference(equality_inference,[],[1111]) ).
cnf(i_0_1117,plain,
~ neq(skaf43(X1,X2),skaf43(X1,X2)),
inference(equality_inference,[],[1112]) ).
cnf(i_0_1118,plain,
ssItem(skac3),
inference(equality_inference,[],[1113]) ).
cnf(i_0_1119,plain,
~ lt(skac2,skac2),
inference(equality_inference,[],[1114]) ).
cnf(i_0_1120,plain,
~ lt(skac2,skac2),
inference(equality_inference,[],[1115]) ).
cnf(i_0_1173,plain,
frontsegP(cons(sk8,app(app(sk5,sk3),sk6)),cons(sk8,app(app(sk5,sk3),sk6))),
inference(scs_inference,[],[i_0_402,i_0_390,i_0_747,i_0_354,i_0_374,i_0_802,i_0_337,i_0_338,i_0_339,i_0_476,i_0_469,i_0_462]) ).
cnf(i_0_1567,plain,
~ neq(skaf45(X1,X2),skaf45(X1,X2)),
inference(equality_inference,[],[1563]) ).
cnf(i_0_1645,plain,
~ neq(skaf74(X1),skaf74(X1)),
inference(equality_inference,[],[1640]) ).
cnf(i_0_1691,plain,
~ neq(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1685]) ).
cnf(i_0_1692,plain,
~ neq(skaf78(X1),skaf78(X1)),
inference(equality_inference,[],[1686]) ).
cnf(i_0_1737,plain,
~ neq(skaf48(X1,X2),skaf48(X1,X2)),
inference(equality_inference,[],[1733]) ).
cnf(i_0_1768,plain,
~ neq(skaf79(X1),skaf79(X1)),
inference(equality_inference,[],[1763]) ).
cnf(i_0_1798,plain,
~ neq(skaf51(X1),skaf51(X1)),
inference(equality_inference,[],[1794]) ).
cnf(i_0_1829,plain,
~ neq(skaf83(X1),skaf83(X1)),
inference(equality_inference,[],[1824]) ).
cnf(i_0_1859,plain,
~ neq(skaf52(X1),skaf52(X1)),
inference(equality_inference,[],[1855]) ).
cnf(i_0_1889,plain,
~ neq(skaf53(X1),skaf53(X1)),
inference(equality_inference,[],[1885]) ).
cnf(i_0_1920,plain,
~ neq(sk8,sk8),
inference(equality_inference,[],[1915]) ).
cnf(i_0_1951,plain,
~ neq(sk7,sk7),
inference(equality_inference,[],[1946]) ).
cnf(i_0_1981,plain,
~ neq(skaf56(X1),skaf56(X1)),
inference(equality_inference,[],[1977]) ).
cnf(i_0_2011,plain,
~ neq(skaf57(X1),skaf57(X1)),
inference(equality_inference,[],[2007]) ).
cnf(i_0_2041,plain,
~ neq(skaf58(X1),skaf58(X1)),
inference(equality_inference,[],[2037]) ).
cnf(i_0_2068,plain,
~ neq(skaf61(X1),skaf61(X1)),
inference(equality_inference,[],[2064]) ).
cnf(i_0_2119,plain,
~ neq(sk11,sk11),
inference(equality_inference,[],[2115]) ).
cnf(i_0_2151,plain,
~ neq(sk5,sk5),
inference(equality_inference,[],[2147]) ).
cnf(i_0_2156,plain,
~ neq(sk6,sk6),
inference(equality_inference,[],[2152]) ).
cnf(i_0_2161,plain,
~ neq(skaf62(X1),skaf62(X1)),
inference(equality_inference,[],[2157]) ).
cnf(i_0_2166,plain,
~ neq(skaf63(X1),skaf63(X1)),
inference(equality_inference,[],[2162]) ).
cnf(i_0_2171,plain,
~ neq(skaf66(X1),skaf66(X1)),
inference(equality_inference,[],[2167]) ).
cnf(i_0_2176,plain,
~ neq(nil,nil),
inference(equality_inference,[],[2172]) ).
cnf(i_0_2181,plain,
~ neq(skaf67(X1),skaf67(X1)),
inference(equality_inference,[],[2177]) ).
cnf(i_0_2186,plain,
~ neq(skaf68(X1),skaf68(X1)),
inference(equality_inference,[],[2182]) ).
cnf(i_0_2191,plain,
~ neq(skaf71(X1),skaf71(X1)),
inference(equality_inference,[],[2187]) ).
cnf(i_0_2196,plain,
~ neq(skaf72(X1),skaf72(X1)),
inference(equality_inference,[],[2192]) ).
cnf(i_0_2201,plain,
~ neq(skaf73(X1),skaf73(X1)),
inference(equality_inference,[],[2197]) ).
cnf(i_0_2206,plain,
~ neq(skaf75(X1),skaf75(X1)),
inference(equality_inference,[],[2202]) ).
cnf(i_0_2211,plain,
~ neq(skaf76(X1),skaf76(X1)),
inference(equality_inference,[],[2207]) ).
cnf(i_0_2216,plain,
~ neq(skaf77(X1),skaf77(X1)),
inference(equality_inference,[],[2212]) ).
cnf(i_0_2221,plain,
~ neq(skaf80(X1),skaf80(X1)),
inference(equality_inference,[],[2217]) ).
cnf(i_0_2226,plain,
~ neq(skaf81(X1),skaf81(X1)),
inference(equality_inference,[],[2222]) ).
cnf(i_0_2231,plain,
~ neq(skaf82(X1),skaf82(X1)),
inference(equality_inference,[],[2227]) ).
cnf(i_0_2236,plain,
~ neq(sk11,sk11),
inference(equality_inference,[],[2232]) ).
cnf(i_0_2237,plain,
~ neq(sk8,sk8),
inference(equality_inference,[],[2233]) ).
cnf(i_0_2248,plain,
~ neq(sk5,sk5),
inference(equality_inference,[],[2244]) ).
cnf(i_0_2254,plain,
~ neq(sk6,sk6),
inference(equality_inference,[],[2250]) ).
cnf(i_0_2255,plain,
~ neq(skaf44(X1),skaf44(X1)),
inference(equality_inference,[],[2251]) ).
cnf(i_0_2266,plain,
~ neq(nil,nil),
inference(equality_inference,[],[2262]) ).
cnf(i_0_2272,plain,
~ neq(skaf43(X1,X2),skaf43(X1,X2)),
inference(equality_inference,[],[2268]) ).
cnf(i_0_2278,plain,
~ neq(skaf49(X1),skaf49(X1)),
inference(equality_inference,[],[2273]) ).
cnf(i_0_2284,plain,
~ neq(skaf69(X1),skaf69(X1)),
inference(equality_inference,[],[2279]) ).
cnf(i_0_2295,plain,
~ neq(skaf45(X1,X2),skaf45(X1,X2)),
inference(equality_inference,[],[2291]) ).
cnf(i_0_2302,plain,
~ neq(skaf70(X1),skaf70(X1)),
inference(equality_inference,[],[2297]) ).
cnf(i_0_2307,plain,
~ neq(skaf46(X1,X2),skaf46(X1,X2)),
inference(equality_inference,[],[2303]) ).
cnf(i_0_2312,plain,
~ neq(skaf47(X1,X2),skaf47(X1,X2)),
inference(equality_inference,[],[2308]) ).
cnf(i_0_2317,plain,
~ neq(skaf74(X1),skaf74(X1)),
inference(equality_inference,[],[2313]) ).
cnf(i_0_2318,plain,
~ neq(skaf48(X1,X2),skaf48(X1,X2)),
inference(equality_inference,[],[2314]) ).
cnf(i_0_2323,plain,
~ neq(skaf79(X1),skaf79(X1)),
inference(equality_inference,[],[2319]) ).
cnf(i_0_2324,plain,
~ neq(skaf83(X1),skaf83(X1)),
inference(equality_inference,[],[2320]) ).
cnf(i_0_2329,plain,
~ neq(skaf53(X1),skaf53(X1)),
inference(equality_inference,[],[2325]) ).
cnf(i_0_2330,plain,
~ neq(skaf51(X1),skaf51(X1)),
inference(equality_inference,[],[2326]) ).
cnf(i_0_2335,plain,
~ neq(skaf52(X1),skaf52(X1)),
inference(equality_inference,[],[2331]) ).
cnf(i_0_2336,plain,
~ neq(skaf57(X1),skaf57(X1)),
inference(equality_inference,[],[2332]) ).
cnf(i_0_2341,plain,
~ neq(skaf61(X1),skaf61(X1)),
inference(equality_inference,[],[2337]) ).
cnf(i_0_2342,plain,
~ neq(skaf56(X1),skaf56(X1)),
inference(equality_inference,[],[2338]) ).
cnf(i_0_2347,plain,
~ neq(skaf58(X1),skaf58(X1)),
inference(equality_inference,[],[2343]) ).
cnf(i_0_2348,plain,
~ neq(skaf62(X1),skaf62(X1)),
inference(equality_inference,[],[2344]) ).
cnf(i_0_2353,plain,
~ neq(skaf66(X1),skaf66(X1)),
inference(equality_inference,[],[2349]) ).
cnf(i_0_2354,plain,
~ neq(skaf63(X1),skaf63(X1)),
inference(equality_inference,[],[2350]) ).
cnf(i_0_2359,plain,
~ neq(skaf68(X1),skaf68(X1)),
inference(equality_inference,[],[2355]) ).
cnf(i_0_2360,plain,
~ neq(skaf67(X1),skaf67(X1)),
inference(equality_inference,[],[2356]) ).
cnf(i_0_694,plain,
ssList(sk6),
inference(equality_inference,[],[685]) ).
cnf(i_0_695,plain,
ssItem(skaf54(X1)),
inference(equality_inference,[],[686]) ).
cnf(i_0_696,plain,
~ lt(skaf50(X1),skaf50(X1)),
inference(equality_inference,[],[687]) ).
cnf(i_0_697,plain,
~ lt(skaf50(X1),skaf50(X1)),
inference(equality_inference,[],[688]) ).
cnf(i_0_715,plain,
~ neq(sk4,app(app(sk5,sk3),sk6)),
inference(scs_inference,[],[i_0_400,i_0_396,i_0_398,i_0_636,i_0_601,i_0_677,i_0_357,i_0_326,i_0_337,i_0_338,i_0_339,i_0_336,i_0_340,i_0_474,i_0_476,i_0_446,i_0_443]) ).
cnf(i_0_716,plain,
~ neq(sk1,sk3),
inference(scs_inference,[],[i_0_400,i_0_396,i_0_398,i_0_636,i_0_601,i_0_677,i_0_642,i_0_357,i_0_326,i_0_337,i_0_338,i_0_339,i_0_336,i_0_340,i_0_474,i_0_476,i_0_446,i_0_443,i_0_444]) ).
cnf(i_0_717,plain,
memberP(cons(skaf55(X1),sk2),skaf55(X1)),
inference(scs_inference,[],[i_0_401,i_0_400,i_0_396,i_0_398,i_0_636,i_0_601,i_0_677,i_0_642,i_0_357,i_0_326,i_0_337,i_0_338,i_0_339,i_0_336,i_0_340,i_0_474,i_0_476,i_0_446,i_0_443,i_0_444,i_0_469]) ).
cnf(i_0_719,plain,
frontsegP(cons(sk7,sk9),cons(sk7,sk9)),
inference(scs_inference,[],[i_0_401,i_0_400,i_0_391,i_0_396,i_0_398,i_0_636,i_0_601,i_0_677,i_0_642,i_0_357,i_0_326,i_0_337,i_0_338,i_0_339,i_0_336,i_0_340,i_0_474,i_0_476,i_0_446,i_0_443,i_0_444,i_0_469,i_0_462]) ).
cnf(i_0_861,plain,
~ neq(skaf50(X1),skaf50(X1)),
inference(equality_inference,[],[856]) ).
cnf(i_0_890,plain,
~ neq(skaf54(X1),skaf54(X1)),
inference(equality_inference,[],[885]) ).
cnf(i_0_891,plain,
ssItem(skaf69(X1)),
inference(equality_inference,[],[886]) ).
cnf(i_0_892,plain,
~ lt(skaf65(X1),skaf65(X1)),
inference(equality_inference,[],[887]) ).
cnf(i_0_893,plain,
~ lt(skaf65(X1),skaf65(X1)),
inference(equality_inference,[],[888]) ).
cnf(i_0_1021,plain,
~ neq(skaf64(X1),skaf64(X1)),
inference(equality_inference,[],[1016]) ).
cnf(c_0_607,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk1,
i_0_208 ).
cnf(c_0_608,negated_conjecture,
sk1 = sk3,
i_0_415 ).
cnf(c_0_609,negated_conjecture,
app(app(app(app(sk9,cons(sk7,nil)),sk10),cons(sk8,nil)),sk11) = sk3,
inference(rw,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_610,axiom,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_235 ).
cnf(c_0_611,negated_conjecture,
ssList(sk10),
i_0_395 ).
cnf(c_0_612,negated_conjecture,
ssList(sk9),
i_0_396 ).
cnf(c_0_613,negated_conjecture,
( app(app(app(sk9,app(cons(sk7,nil),sk10)),cons(sk8,nil)),sk11) = sk3
| ~ ssList(cons(sk7,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_610]),c_0_611]),c_0_612])]) ).
cnf(c_0_614,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_264 ).
cnf(c_0_615,negated_conjecture,
ssItem(sk7),
i_0_391 ).
cnf(c_0_616,negated_conjecture,
( app(app(app(sk9,cons(sk7,sk10)),cons(sk8,nil)),sk11) = sk3
| ~ ssList(cons(sk7,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_614]),c_0_615]),c_0_611])]) ).
cnf(c_0_617,negated_conjecture,
ssList(sk11),
i_0_394 ).
cnf(c_0_618,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_212 ).
cnf(c_0_619,negated_conjecture,
( app(app(sk9,cons(sk7,sk10)),app(cons(sk8,nil),sk11)) = sk3
| ~ ssList(app(sk9,cons(sk7,sk10)))
| ~ ssList(cons(sk8,nil))
| ~ ssList(cons(sk7,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_616]),c_0_617])]) ).
cnf(c_0_620,negated_conjecture,
ssItem(sk8),
i_0_390 ).
cnf(c_0_621,negated_conjecture,
ssList(sk1),
i_0_402 ).
cnf(c_0_622,axiom,
( lt(X1,X2)
| X1 = X2
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_275 ).
cnf(c_0_623,negated_conjecture,
leq(sk8,sk7),
i_0_352 ).
cnf(c_0_624,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_618]) ).
cnf(c_0_625,negated_conjecture,
( app(app(sk9,cons(sk7,sk10)),cons(sk8,sk11)) = sk3
| ~ ssList(app(sk9,cons(sk7,sk10)))
| ~ ssList(cons(sk8,nil))
| ~ ssList(cons(sk7,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_614]),c_0_620]),c_0_617])]) ).
cnf(c_0_626,negated_conjecture,
strictorderedP(sk3),
i_0_408 ).
cnf(c_0_627,negated_conjecture,
ssList(sk3),
inference(rw,[status(thm)],[c_0_621,c_0_608]) ).
cnf(c_0_628,axiom,
( lt(X1,X2)
| ~ lt(X1,X3)
| ~ lt(X3,X2)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
i_0_247 ).
cnf(c_0_629,negated_conjecture,
( sk8 = sk7
| lt(sk8,sk7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_615]),c_0_620])]) ).
cnf(c_0_630,negated_conjecture,
( lt(sk7,sk8)
| ~ ssList(app(sk9,cons(sk7,sk10)))
| ~ ssList(cons(sk8,nil))
| ~ ssList(cons(sk7,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_624,c_0_625]),c_0_626]),c_0_620]),c_0_615]),c_0_627]),c_0_617]),c_0_611]),c_0_612])]) ).
cnf(c_0_631,axiom,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_294 ).
cnf(c_0_632,negated_conjecture,
( sk8 = sk7
| lt(X1,sk7)
| ~ lt(X1,sk8)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_629]),c_0_620]),c_0_615])]) ).
cnf(c_0_633,negated_conjecture,
( lt(sk7,sk8)
| ~ ssList(cons(sk8,nil))
| ~ ssList(cons(sk7,nil))
| ~ ssList(cons(sk7,sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_631]),c_0_612])]) ).
cnf(c_0_634,plain,
~ lt(sk7,sk7),
i_0_587 ).
cnf(c_0_635,negated_conjecture,
( sk8 = sk7
| ~ ssList(cons(sk8,nil))
| ~ ssList(cons(sk7,nil))
| ~ ssList(cons(sk7,sk10)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_633]),c_0_615])]),c_0_634]) ).
cnf(c_0_636,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
i_0_295 ).
cnf(c_0_637,axiom,
ssList(nil),
i_0_403 ).
cnf(c_0_638,negated_conjecture,
( sk8 = sk7
| ~ ssList(cons(sk7,nil))
| ~ ssList(cons(sk7,sk10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_636]),c_0_620]),c_0_637])]) ).
cnf(c_0_639,negated_conjecture,
( sk8 = sk7
| ~ ssList(cons(sk7,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_636]),c_0_615]),c_0_611])]) ).
cnf(c_0_640,negated_conjecture,
sk8 = sk7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_636]),c_0_615]),c_0_637])]) ).
cnf(c_0_641,negated_conjecture,
( ~ ssList(cons(sk7,nil))
| ~ ssList(cons(sk7,sk10)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_633,c_0_640]),c_0_640])]),c_0_634]) ).
cnf(c_0_642,negated_conjecture,
~ ssList(cons(sk7,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_636]),c_0_615]),c_0_611])]) ).
cnf(c_0_643,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_636]),c_0_615]),c_0_637])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC161-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n029.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:30:59 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 139.33/104.19 % Version : CSE_E---1.7
% 139.33/104.19 % Problem : theBenchmark.p
% 139.33/104.19 % SZS status Unsatisfiable for theBenchmark.p
% 139.33/104.19 % SZS output start CNFRefutation
% See solution above
% 147.70/112.54 % Total time : 103.670s
%------------------------------------------------------------------------------