TSTP Solution File: SWC077+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC077+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Thu Aug 31 20:40:48 EDT 2023
% Result : Theorem 194.60s 26.29s
% Output : CNFRefutation 194.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f594)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X0
& nil = X1 )
| ? [X5] :
( strictorderedP(X5)
& segmentP(X5,X2)
& frontsegP(X3,X5)
& neq(X2,X5)
& ssList(X5) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ frontsegP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X0
& nil = X1 )
| ? [X5] :
( strictorderedP(X5)
& segmentP(X5,X2)
& frontsegP(X3,X5)
& neq(X2,X5)
& ssList(X5) )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ frontsegP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X0
& nil = X1 )
| ? [X4] :
( strictorderedP(X4)
& segmentP(X4,X2)
& frontsegP(X3,X4)
& neq(X2,X4)
& ssList(X4) )
| ? [X5] :
( segmentP(X0,X5)
& segmentP(X1,X5)
& neq(X5,nil)
& ssList(X5) )
| ~ strictorderedP(X2)
| ~ frontsegP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f135,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f169]) ).
fof(f173,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f176,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f177,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f187]) ).
fof(f189,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f190,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f189]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f194,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f202,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(X0,X5)
| ~ segmentP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(X0,X5)
| ~ segmentP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f246]) ).
fof(f248,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f247,f248]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f254]) ).
fof(f256,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK13(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK13(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
& ssList(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
& ssList(sK14(X0,X1))
& ssList(sK13(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f255,f257,f256]) ).
fof(f317,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f331,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f336,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK51(X0)
& ssItem(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0] :
( ( hd(X0) = sK51(X0)
& ssItem(sK51(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f188,f336]) ).
fof(f338,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK52(X0)
& ssList(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0] :
( ( tl(X0) = sK52(X0)
& ssList(sK52(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f190,f338]) ).
fof(f344,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(X0,X5)
| ~ segmentP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != sK53
| nil != X1 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != sK53
| nil != X1 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(X1,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != sK53
| nil != sK54 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(sK54,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X2] :
( ? [X3] :
( ( nil != sK53
| nil != sK54 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,X2)
| ~ frontsegP(X3,X4)
| ~ neq(X2,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(sK54,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(X2)
& frontsegP(X3,X2)
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK53
| nil != sK54 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK55)
| ~ frontsegP(X3,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(sK54,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(sK55)
& frontsegP(X3,sK55)
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X3] :
( ( nil != sK53
| nil != sK54 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK55)
| ~ frontsegP(X3,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(sK54,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(sK55)
& frontsegP(X3,sK55)
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( nil != sK53
| nil != sK54 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK55)
| ~ frontsegP(sK56,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(sK54,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(sK55)
& frontsegP(sK56,sK55)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ( nil != sK53
| nil != sK54 )
& ! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK55)
| ~ frontsegP(sK56,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4) )
& ! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(sK54,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& strictorderedP(sK55)
& frontsegP(sK56,sK55)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f223,f347,f346,f345,f344]) ).
fof(f361,plain,
! [X0,X1] :
( ssList(sK11(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f362,plain,
! [X0,X1] :
( app(X1,sK11(X0,X1)) = X0
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f363,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f439,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f317]) ).
fof(f440,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f441,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f442,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f453,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f455,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f490,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f492,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f494,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f495,plain,
! [X0] :
( nil = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f496,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f510,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f521,plain,
! [X0] :
( ssItem(sK51(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f522,plain,
! [X0] :
( hd(X0) = sK51(X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f523,plain,
! [X0] :
( ssList(sK52(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f524,plain,
! [X0] :
( tl(X0) = sK52(X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f526,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f534,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f548,plain,
ssList(sK53),
inference(cnf_transformation,[],[f348]) ).
fof(f549,plain,
ssList(sK54),
inference(cnf_transformation,[],[f348]) ).
fof(f552,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f348]) ).
fof(f553,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f348]) ).
fof(f554,plain,
frontsegP(sK56,sK55),
inference(cnf_transformation,[],[f348]) ).
fof(f556,plain,
! [X5] :
( ~ segmentP(sK53,X5)
| ~ segmentP(sK54,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) ),
inference(cnf_transformation,[],[f348]) ).
fof(f557,plain,
! [X4] :
( ~ strictorderedP(X4)
| ~ segmentP(X4,sK55)
| ~ frontsegP(sK56,X4)
| ~ neq(sK55,X4)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f348]) ).
fof(f558,plain,
( nil != sK53
| nil != sK54 ),
inference(cnf_transformation,[],[f348]) ).
fof(f559,plain,
( nil != sK55
| nil != sK56 ),
inference(definition_unfolding,[],[f558,f553,f552]) ).
fof(f560,plain,
! [X5] :
( ~ segmentP(sK55,X5)
| ~ segmentP(sK56,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) ),
inference(definition_unfolding,[],[f556,f553,f552]) ).
fof(f561,plain,
ssList(sK56),
inference(definition_unfolding,[],[f549,f552]) ).
fof(f562,plain,
ssList(sK55),
inference(definition_unfolding,[],[f548,f553]) ).
fof(f566,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f363]) ).
fof(f568,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f370]) ).
fof(f582,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f496]) ).
cnf(c_61,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_62,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,sK11(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_63,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ssList(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_67,plain,
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f568]) ).
cnf(c_138,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f439]) ).
cnf(c_140,plain,
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
inference(cnf_transformation,[],[f440]) ).
cnf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f441]) ).
cnf(c_142,plain,
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f442]) ).
cnf(c_153,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f453]) ).
cnf(c_155,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f455]) ).
cnf(c_177,plain,
( ~ frontsegP(X0,X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(cons(X2,X0),cons(X2,X1)) ),
inference(cnf_transformation,[],[f594]) ).
cnf(c_190,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(X0,X2) ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_192,plain,
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[],[f492]) ).
cnf(c_194,plain,
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f494]) ).
cnf(c_195,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(cnf_transformation,[],[f582]) ).
cnf(c_196,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(cnf_transformation,[],[f495]) ).
cnf(c_209,plain,
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f510]) ).
cnf(c_219,plain,
( ~ ssList(X0)
| hd(X0) = sK51(X0)
| X0 = nil ),
inference(cnf_transformation,[],[f522]) ).
cnf(c_220,plain,
( ~ ssList(X0)
| X0 = nil
| ssItem(sK51(X0)) ),
inference(cnf_transformation,[],[f521]) ).
cnf(c_221,plain,
( ~ ssList(X0)
| tl(X0) = sK52(X0)
| X0 = nil ),
inference(cnf_transformation,[],[f524]) ).
cnf(c_222,plain,
( ~ ssList(X0)
| X0 = nil
| ssList(sK52(X0)) ),
inference(cnf_transformation,[],[f523]) ).
cnf(c_224,plain,
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| X0 = nil ),
inference(cnf_transformation,[],[f526]) ).
cnf(c_232,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f534]) ).
cnf(c_246,negated_conjecture,
( nil != sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f559]) ).
cnf(c_247,negated_conjecture,
( ~ neq(sK55,X0)
| ~ frontsegP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(X0)
| ~ strictorderedP(X0) ),
inference(cnf_transformation,[],[f557]) ).
cnf(c_248,negated_conjecture,
( ~ neq(X0,nil)
| ~ segmentP(sK55,X0)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_250,negated_conjecture,
frontsegP(sK56,sK55),
inference(cnf_transformation,[],[f554]) ).
cnf(c_253,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f561]) ).
cnf(c_254,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f562]) ).
cnf(c_304,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil)
| nil = nil ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_377,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X0,X1),X0) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_153,c_61]) ).
cnf(c_3243,plain,
( X0 != sK55
| X1 != X2
| ~ frontsegP(sK56,X2)
| ~ segmentP(X2,sK55)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X2)
| X0 = X1 ),
inference(resolution_lifted,[status(thm)],[c_138,c_247]) ).
cnf(c_3244,plain,
( ~ frontsegP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(X0)
| ~ strictorderedP(X0)
| ~ ssList(sK55)
| sK55 = X0 ),
inference(unflattening,[status(thm)],[c_3243]) ).
cnf(c_3246,plain,
( ~ strictorderedP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sK55)
| ~ frontsegP(sK56,X0)
| sK55 = X0 ),
inference(global_subsumption_just,[status(thm)],[c_3244,c_254,c_3244]) ).
cnf(c_3247,plain,
( ~ frontsegP(sK56,X0)
| ~ segmentP(X0,sK55)
| ~ ssList(X0)
| ~ strictorderedP(X0)
| sK55 = X0 ),
inference(renaming,[status(thm)],[c_3246]) ).
cnf(c_3269,plain,
( X0 != X1
| X2 != nil
| ~ segmentP(sK55,X1)
| ~ segmentP(sK56,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2 ),
inference(resolution_lifted,[status(thm)],[c_138,c_248]) ).
cnf(c_3270,plain,
( ~ segmentP(sK55,X0)
| ~ segmentP(sK56,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| X0 = nil ),
inference(unflattening,[status(thm)],[c_3269]) ).
cnf(c_3272,plain,
( ~ ssList(X0)
| ~ segmentP(sK56,X0)
| ~ segmentP(sK55,X0)
| X0 = nil ),
inference(global_subsumption_just,[status(thm)],[c_3270,c_141,c_3270]) ).
cnf(c_3273,plain,
( ~ segmentP(sK55,X0)
| ~ segmentP(sK56,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(renaming,[status(thm)],[c_3272]) ).
cnf(c_8925,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_12108,plain,
app(nil,sK55) = sK55,
inference(superposition,[status(thm)],[c_254,c_155]) ).
cnf(c_12190,plain,
app(sK55,nil) = sK55,
inference(superposition,[status(thm)],[c_254,c_232]) ).
cnf(c_13199,plain,
( ~ ssList(sK55)
| segmentP(sK55,sK55) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_13473,plain,
( nil != X0
| sK55 != X0
| nil = sK55 ),
inference(instantiation,[status(thm)],[c_8925]) ).
cnf(c_13474,plain,
( nil != nil
| sK55 != nil
| nil = sK55 ),
inference(instantiation,[status(thm)],[c_13473]) ).
cnf(c_14198,plain,
( hd(sK56) = sK51(sK56)
| nil = sK56 ),
inference(superposition,[status(thm)],[c_253,c_219]) ).
cnf(c_14351,plain,
( tl(sK56) = sK52(sK56)
| nil = sK56 ),
inference(superposition,[status(thm)],[c_253,c_221]) ).
cnf(c_14502,plain,
( ~ segmentP(sK55,sK55)
| ~ segmentP(sK56,sK55)
| ~ ssList(sK55)
| sK55 = nil ),
inference(instantiation,[status(thm)],[c_3273]) ).
cnf(c_14541,plain,
( ~ ssList(sK56)
| nil = sK56
| ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_14198,c_220]) ).
cnf(c_14542,plain,
( nil = sK56
| ssItem(hd(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14541,c_253]) ).
cnf(c_14585,plain,
( ~ ssList(sK56)
| nil = sK56
| ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_14351,c_222]) ).
cnf(c_14586,plain,
( nil = sK56
| ssList(tl(sK56)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14585,c_253]) ).
cnf(c_14605,plain,
( app(nil,tl(sK56)) = tl(sK56)
| nil = sK56 ),
inference(superposition,[status(thm)],[c_14586,c_155]) ).
cnf(c_15341,plain,
( ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ssList(app(app(X0,X1),X2)) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_15385,plain,
( ~ ssList(tl(sK56))
| ~ ssList(nil)
| nil = sK56
| frontsegP(tl(sK56),nil) ),
inference(superposition,[status(thm)],[c_14605,c_377]) ).
cnf(c_15386,plain,
( ~ ssList(tl(sK56))
| nil = sK56
| frontsegP(tl(sK56),nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15385,c_141]) ).
cnf(c_18176,plain,
( ~ ssList(sK55)
| ~ ssList(sK56)
| app(sK55,sK11(sK56,sK55)) = sK56 ),
inference(superposition,[status(thm)],[c_250,c_62]) ).
cnf(c_18188,plain,
app(sK55,sK11(sK56,sK55)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_18176,c_253,c_254]) ).
cnf(c_26905,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_153,c_67,c_15341]) ).
cnf(c_26918,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK55)
| segmentP(app(sK55,X0),sK55) ),
inference(superposition,[status(thm)],[c_12108,c_26905]) ).
cnf(c_26956,plain,
( ~ ssList(X0)
| segmentP(app(sK55,X0),sK55) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26918,c_254,c_141]) ).
cnf(c_27788,plain,
( ~ ssList(nil)
| segmentP(sK55,sK55) ),
inference(superposition,[status(thm)],[c_12190,c_26956]) ).
cnf(c_27789,plain,
( ~ ssList(sK11(sK56,sK55))
| segmentP(sK56,sK55) ),
inference(superposition,[status(thm)],[c_18188,c_26956]) ).
cnf(c_27795,plain,
segmentP(sK55,sK55),
inference(forward_subsumption_resolution,[status(thm)],[c_27788,c_141]) ).
cnf(c_28951,plain,
( ~ frontsegP(sK56,sK55)
| ~ ssList(sK55)
| ~ ssList(sK56)
| segmentP(sK56,sK55) ),
inference(superposition,[status(thm)],[c_63,c_27789]) ).
cnf(c_28952,plain,
segmentP(sK56,sK55),
inference(forward_subsumption_resolution,[status(thm)],[c_28951,c_253,c_254,c_250]) ).
cnf(c_28954,plain,
( ~ segmentP(sK55,X0)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ ssList(sK56)
| segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_28952,c_190]) ).
cnf(c_28957,plain,
( ~ segmentP(sK55,sK55)
| ~ ssList(sK55)
| nil = sK55 ),
inference(superposition,[status(thm)],[c_28952,c_3273]) ).
cnf(c_28958,plain,
nil = sK55,
inference(forward_subsumption_resolution,[status(thm)],[c_28957,c_254,c_27795]) ).
cnf(c_28965,plain,
( ~ segmentP(sK55,X0)
| ~ ssList(X0)
| segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28954,c_253,c_254]) ).
cnf(c_29032,plain,
( ~ frontsegP(sK56,X0)
| ~ segmentP(X0,nil)
| ~ ssList(X0)
| ~ strictorderedP(X0)
| X0 = nil ),
inference(demodulation,[status(thm)],[c_3247,c_28958]) ).
cnf(c_31664,plain,
( hd(sK55) = sK51(sK55)
| nil = sK55 ),
inference(superposition,[status(thm)],[c_254,c_219]) ).
cnf(c_34141,plain,
nil = sK55,
inference(global_subsumption_just,[status(thm)],[c_31664,c_254,c_141,c_195,c_304,c_13199,c_13474,c_14502,c_28952]) ).
cnf(c_34155,plain,
( nil != nil
| nil != sK56 ),
inference(demodulation,[status(thm)],[c_246,c_34141]) ).
cnf(c_34161,plain,
nil != sK56,
inference(equality_resolution_simp,[status(thm)],[c_34155]) ).
cnf(c_41276,plain,
( cons(X0,nil) != nil
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_43626,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(X0)
| ssList(cons(hd(sK56),X0)) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_43627,plain,
( ~ ssItem(hd(sK56))
| ~ ssList(nil)
| ssList(cons(hd(sK56),nil)) ),
inference(instantiation,[status(thm)],[c_43626]) ).
cnf(c_63971,plain,
( cons(hd(sK56),nil) != nil
| ~ ssItem(hd(sK56))
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_41276]) ).
cnf(c_98683,plain,
( ~ segmentP(sK55,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(global_subsumption_just,[status(thm)],[c_3273,c_141,c_3270,c_28965]) ).
cnf(c_98835,plain,
( ~ ssList(sK55)
| nil = sK55 ),
inference(superposition,[status(thm)],[c_192,c_98683]) ).
cnf(c_98836,plain,
nil = sK55,
inference(forward_subsumption_resolution,[status(thm)],[c_98835,c_254]) ).
cnf(c_98837,plain,
( ~ frontsegP(sK56,X0)
| ~ segmentP(X0,nil)
| ~ ssList(X0)
| ~ strictorderedP(X0)
| X0 = nil ),
inference(demodulation,[status(thm)],[c_3247,c_98836]) ).
cnf(c_98847,plain,
( ~ frontsegP(sK56,X0)
| ~ ssList(X0)
| ~ strictorderedP(X0)
| X0 = nil ),
inference(global_subsumption_just,[status(thm)],[c_98837,c_194,c_29032]) ).
cnf(c_102461,plain,
( hd(sK56) = sK51(sK56)
| nil = sK56 ),
inference(superposition,[status(thm)],[c_253,c_219]) ).
cnf(c_102462,plain,
hd(sK56) = sK51(sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_102461,c_34161]) ).
cnf(c_102586,plain,
( tl(sK56) = sK52(sK56)
| nil = sK56 ),
inference(superposition,[status(thm)],[c_253,c_221]) ).
cnf(c_102587,plain,
tl(sK56) = sK52(sK56),
inference(forward_subsumption_resolution,[status(thm)],[c_102586,c_34161]) ).
cnf(c_102859,plain,
( ~ ssList(sK56)
| nil = sK56
| ssItem(hd(sK56)) ),
inference(superposition,[status(thm)],[c_102462,c_220]) ).
cnf(c_102860,plain,
ssItem(hd(sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_102859,c_34161,c_253]) ).
cnf(c_102867,plain,
( ~ ssList(sK56)
| nil = sK56
| ssList(tl(sK56)) ),
inference(superposition,[status(thm)],[c_102587,c_222]) ).
cnf(c_102868,plain,
ssList(tl(sK56)),
inference(forward_subsumption_resolution,[status(thm)],[c_102867,c_34161,c_253]) ).
cnf(c_104527,plain,
( cons(hd(sK56),tl(sK56)) = sK56
| nil = sK56 ),
inference(superposition,[status(thm)],[c_253,c_224]) ).
cnf(c_104530,plain,
cons(hd(sK56),tl(sK56)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_104527,c_34161]) ).
cnf(c_107529,plain,
( ~ frontsegP(tl(sK56),X0)
| ~ ssItem(hd(sK56))
| ~ ssList(tl(sK56))
| ~ ssList(X0)
| frontsegP(sK56,cons(hd(sK56),X0)) ),
inference(superposition,[status(thm)],[c_104530,c_177]) ).
cnf(c_107550,plain,
( ~ frontsegP(tl(sK56),X0)
| ~ ssList(X0)
| frontsegP(sK56,cons(hd(sK56),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107529,c_102868,c_102860]) ).
cnf(c_287360,plain,
( ~ ssList(cons(hd(sK56),X0))
| ~ strictorderedP(cons(hd(sK56),X0))
| ~ frontsegP(tl(sK56),X0)
| ~ ssList(X0)
| cons(hd(sK56),X0) = nil ),
inference(superposition,[status(thm)],[c_107550,c_98847]) ).
cnf(c_287384,plain,
( ~ ssList(cons(hd(sK56),nil))
| ~ strictorderedP(cons(hd(sK56),nil))
| ~ frontsegP(tl(sK56),nil)
| ~ ssList(nil)
| cons(hd(sK56),nil) = nil ),
inference(instantiation,[status(thm)],[c_287360]) ).
cnf(c_710197,plain,
( ~ ssItem(hd(sK56))
| strictorderedP(cons(hd(sK56),nil)) ),
inference(instantiation,[status(thm)],[c_209]) ).
cnf(c_710200,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_710197,c_287384,c_63971,c_43627,c_28952,c_15386,c_14586,c_14542,c_14502,c_13474,c_13199,c_304,c_246,c_195,c_141,c_254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC077+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 16:55:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 194.60/26.29 % SZS status Started for theBenchmark.p
% 194.60/26.29 % SZS status Theorem for theBenchmark.p
% 194.60/26.29
% 194.60/26.29 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 194.60/26.29
% 194.60/26.29 ------ iProver source info
% 194.60/26.29
% 194.60/26.29 git: date: 2023-05-31 18:12:56 +0000
% 194.60/26.29 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 194.60/26.29 git: non_committed_changes: false
% 194.60/26.29 git: last_make_outside_of_git: false
% 194.60/26.29
% 194.60/26.29 ------ Parsing...
% 194.60/26.29 ------ Clausification by vclausify_rel & Parsing by iProver...
% 194.60/26.29
% 194.60/26.29 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 194.60/26.29
% 194.60/26.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 194.60/26.29
% 194.60/26.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 194.60/26.29 ------ Proving...
% 194.60/26.29 ------ Problem Properties
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 clauses 187
% 194.60/26.29 conjectures 5
% 194.60/26.29 EPR 56
% 194.60/26.29 Horn 119
% 194.60/26.29 unary 20
% 194.60/26.29 binary 41
% 194.60/26.29 lits 633
% 194.60/26.29 lits eq 82
% 194.60/26.29 fd_pure 0
% 194.60/26.29 fd_pseudo 0
% 194.60/26.29 fd_cond 23
% 194.60/26.29 fd_pseudo_cond 14
% 194.60/26.29 AC symbols 0
% 194.60/26.29
% 194.60/26.29 ------ Schedule dynamic 5 is on
% 194.60/26.29
% 194.60/26.29 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 ------
% 194.60/26.29 Current options:
% 194.60/26.29 ------
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 ------ Proving...
% 194.60/26.29 Proof_search_loop: time out after: 11553 full_loop iterations
% 194.60/26.29
% 194.60/26.29 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 ------
% 194.60/26.29 Current options:
% 194.60/26.29 ------
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 ------ Proving...
% 194.60/26.29 Proof_search_loop: time out after: 14251 full_loop iterations
% 194.60/26.29
% 194.60/26.29 ------ Option_1: Negative Selections Time Limit: 35.
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 ------
% 194.60/26.29 Current options:
% 194.60/26.29 ------
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 ------ Proving...
% 194.60/26.29
% 194.60/26.29
% 194.60/26.29 % SZS status Theorem for theBenchmark.p
% 194.60/26.29
% 194.60/26.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 194.60/26.29
% 194.60/26.29
%------------------------------------------------------------------------------