TSTP Solution File: SWC307+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC307+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Fri May 3 03:11:56 EDT 2024
% Result : Theorem 234.74s 31.41s
% Output : CNFRefutation 234.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
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/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ~ singletonP(X2) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( ~ lt(X5,X4)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0 ) ) ) ) ) )
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ~ singletonP(X2) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( ~ lt(X5,X4)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0 ) ) ) ) ) )
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,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(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f141]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f170]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f236]) ).
fof(f238,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK8(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X5] :
( app(sK8(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1))
& ssList(sK8(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f237,f239,f238]) ).
fof(f241,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f242,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK10(X0),nil) = X0
& ssItem(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK10(X0),nil) = X0
& ssItem(sK10(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f242,f243]) ).
fof(f253,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,[],[f103]) ).
fof(f254,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,[],[f253]) ).
fof(f255,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(f256,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(f257,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])],[f254,f256,f255]) ).
fof(f316,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f322,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f323,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f322]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f325,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f324]) ).
fof(f330,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f339]) ).
fof(f343,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(X2) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,X2)
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(sK55) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,sK55)
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| singletonP(sK55) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(X3,sK55)
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ~ neq(sK56,nil)
| singletonP(sK55) )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& segmentP(sK56,sK55)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK53
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,sK57)
& sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(X5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X5,sK57)
& sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(X5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(sK58,sK57)
& sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(sK58) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(sK58,sK57)
& sK53 = app(app(app(app(X6,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
=> ( ? [X7] :
( ? [X8] :
( lt(sK58,sK57)
& sK53 = app(app(app(app(sK59,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ? [X7] :
( ? [X8] :
( lt(sK58,sK57)
& sK53 = app(app(app(app(sK59,cons(sK57,nil)),X7),cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(X7) )
=> ( ? [X8] :
( lt(sK58,sK57)
& sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),X8)
& ssList(X8) )
& ssList(sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
( ? [X8] :
( lt(sK58,sK57)
& sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),X8)
& ssList(X8) )
=> ( lt(sK58,sK57)
& sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61)
& ssList(sK61) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
( ( ~ neq(sK56,nil)
| singletonP(sK55) )
& lt(sK58,sK57)
& sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61)
& ssList(sK61)
& ssList(sK60)
& ssList(sK59)
& ssItem(sK58)
& ssItem(sK57)
& segmentP(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,sK57,sK58,sK59,sK60,sK61])],[f222,f351,f350,f349,f348,f347,f346,f345,f344,f343]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f362,plain,
! [X0] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f363,plain,
! [X0] :
( cons(sK10(X0),nil) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f374,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,[],[f257]) ).
fof(f443,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f444,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f445,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f446,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f457,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f465,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f470,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f472,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f325]) ).
fof(f475,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f494,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f495,plain,
! [X0,X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f498,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f499,plain,
! [X0] :
( nil = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f500,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f535,plain,
! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f536,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f538,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f552,plain,
ssList(sK53),
inference(cnf_transformation,[],[f352]) ).
fof(f553,plain,
ssList(sK54),
inference(cnf_transformation,[],[f352]) ).
fof(f556,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f352]) ).
fof(f557,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f352]) ).
fof(f558,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f352]) ).
fof(f559,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f352]) ).
fof(f560,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f352]) ).
fof(f561,plain,
ssList(sK59),
inference(cnf_transformation,[],[f352]) ).
fof(f562,plain,
ssList(sK60),
inference(cnf_transformation,[],[f352]) ).
fof(f563,plain,
ssList(sK61),
inference(cnf_transformation,[],[f352]) ).
fof(f564,plain,
sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61),
inference(cnf_transformation,[],[f352]) ).
fof(f565,plain,
lt(sK58,sK57),
inference(cnf_transformation,[],[f352]) ).
fof(f566,plain,
( ~ neq(sK56,nil)
| singletonP(sK55) ),
inference(cnf_transformation,[],[f352]) ).
fof(f567,plain,
sK55 = app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61),
inference(definition_unfolding,[],[f564,f557]) ).
fof(f568,plain,
ssList(sK56),
inference(definition_unfolding,[],[f553,f556]) ).
fof(f569,plain,
ssList(sK55),
inference(definition_unfolding,[],[f552,f557]) ).
fof(f571,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f361]) ).
fof(f575,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,[],[f374]) ).
fof(f589,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f500]) ).
cnf(c_54,plain,
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(cnf_transformation,[],[f571]) ).
cnf(c_59,plain,
( ~ ssList(X0)
| ~ singletonP(X0)
| cons(sK10(X0),nil) = X0 ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_60,plain,
( ~ ssList(X0)
| ~ singletonP(X0)
| ssItem(sK10(X0)) ),
inference(cnf_transformation,[],[f362]) ).
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,[],[f575]) ).
cnf(c_138,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f443]) ).
cnf(c_140,plain,
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f445]) ).
cnf(c_142,plain,
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_153,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f457]) ).
cnf(c_161,plain,
( ~ lt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_166,plain,
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,X2),X1) ),
inference(cnf_transformation,[],[f470]) ).
cnf(c_170,plain,
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_171,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_190,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(X0,X2) ),
inference(cnf_transformation,[],[f494]) ).
cnf(c_191,plain,
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f495]) ).
cnf(c_194,plain,
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f498]) ).
cnf(c_195,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(cnf_transformation,[],[f589]) ).
cnf(c_196,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(cnf_transformation,[],[f499]) ).
cnf(c_230,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = nil ),
inference(cnf_transformation,[],[f536]) ).
cnf(c_231,plain,
( app(X0,X1) != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = nil ),
inference(cnf_transformation,[],[f535]) ).
cnf(c_232,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f538]) ).
cnf(c_246,negated_conjecture,
( ~ neq(sK56,nil)
| singletonP(sK55) ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_247,negated_conjecture,
lt(sK58,sK57),
inference(cnf_transformation,[],[f565]) ).
cnf(c_248,negated_conjecture,
app(app(app(app(sK59,cons(sK57,nil)),sK60),cons(sK58,nil)),sK61) = sK55,
inference(cnf_transformation,[],[f567]) ).
cnf(c_249,negated_conjecture,
ssList(sK61),
inference(cnf_transformation,[],[f563]) ).
cnf(c_250,negated_conjecture,
ssList(sK60),
inference(cnf_transformation,[],[f562]) ).
cnf(c_251,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f561]) ).
cnf(c_252,negated_conjecture,
ssItem(sK58),
inference(cnf_transformation,[],[f560]) ).
cnf(c_253,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f559]) ).
cnf(c_254,negated_conjecture,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f558]) ).
cnf(c_257,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f568]) ).
cnf(c_258,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f569]) ).
cnf(c_308,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil)
| nil = nil ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_3255,plain,
( X0 != sK56
| X1 != nil
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| singletonP(sK55) ),
inference(resolution_lifted,[status(thm)],[c_138,c_246]) ).
cnf(c_3256,plain,
( ~ ssList(nil)
| ~ ssList(sK56)
| sK56 = nil
| singletonP(sK55) ),
inference(unflattening,[status(thm)],[c_3255]) ).
cnf(c_3257,plain,
( sK56 = nil
| singletonP(sK55) ),
inference(global_subsumption_just,[status(thm)],[c_3256,c_257,c_141,c_3256]) ).
cnf(c_8975,plain,
cons(sK57,nil) = sP0_iProver_def,
definition ).
cnf(c_8976,plain,
app(sK59,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_8977,plain,
app(sP1_iProver_def,sK60) = sP2_iProver_def,
definition ).
cnf(c_8978,plain,
cons(sK58,nil) = sP3_iProver_def,
definition ).
cnf(c_8979,plain,
app(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_8980,plain,
app(sP4_iProver_def,sK61) = sP5_iProver_def,
definition ).
cnf(c_8981,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_258]) ).
cnf(c_8983,negated_conjecture,
segmentP(sK56,sK55),
inference(demodulation,[status(thm)],[c_254]) ).
cnf(c_8984,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_253]) ).
cnf(c_8985,negated_conjecture,
ssItem(sK58),
inference(demodulation,[status(thm)],[c_252]) ).
cnf(c_8986,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_251]) ).
cnf(c_8987,negated_conjecture,
ssList(sK60),
inference(demodulation,[status(thm)],[c_250]) ).
cnf(c_8988,negated_conjecture,
ssList(sK61),
inference(demodulation,[status(thm)],[c_249]) ).
cnf(c_8989,negated_conjecture,
sP5_iProver_def = sK55,
inference(demodulation,[status(thm)],[c_248,c_8978,c_8975,c_8976,c_8977,c_8979,c_8980]) ).
cnf(c_8990,negated_conjecture,
lt(sK58,sK57),
inference(demodulation,[status(thm)],[c_247]) ).
cnf(c_8993,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_8998,plain,
( X0 != X1
| ~ ssList(X1)
| ssList(X0) ),
theory(equality) ).
cnf(c_8999,plain,
( X0 != X1
| ~ singletonP(X1)
| singletonP(X0) ),
theory(equality) ).
cnf(c_9002,plain,
( X0 != X1
| X2 != X3
| ~ segmentP(X1,X3)
| segmentP(X0,X2) ),
theory(equality) ).
cnf(c_11834,plain,
ssList(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_8981,c_8989]) ).
cnf(c_11836,plain,
( nil = sK56
| singletonP(sP5_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_3257,c_8989]) ).
cnf(c_12360,plain,
app(sP5_iProver_def,nil) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_11834,c_232]) ).
cnf(c_12418,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| ssList(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_8975,c_140]) ).
cnf(c_12419,plain,
( ~ ssItem(sK58)
| ~ ssList(nil)
| ssList(sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_8978,c_140]) ).
cnf(c_12422,plain,
ssList(sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_12419,c_141,c_8985]) ).
cnf(c_12423,plain,
ssList(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_12418,c_141,c_8984]) ).
cnf(c_12489,plain,
( ~ ssList(sK59)
| ~ ssList(sP0_iProver_def)
| ssList(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_8976,c_153]) ).
cnf(c_12490,plain,
( ~ ssList(sK60)
| ~ ssList(sP1_iProver_def)
| ssList(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8977,c_153]) ).
cnf(c_12491,plain,
( ~ ssList(sP2_iProver_def)
| ~ ssList(sP3_iProver_def)
| ssList(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_8979,c_153]) ).
cnf(c_12511,plain,
( ~ ssList(sP2_iProver_def)
| ssList(sP4_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12491,c_12422]) ).
cnf(c_12514,plain,
( ~ ssList(sP1_iProver_def)
| ssList(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12490,c_8987]) ).
cnf(c_12517,plain,
ssList(sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_12489,c_12423,c_8986]) ).
cnf(c_12518,plain,
ssList(sP2_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_12514,c_12517]) ).
cnf(c_12519,plain,
ssList(sP4_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_12511,c_12518]) ).
cnf(c_13398,plain,
( ~ ssList(sP5_iProver_def)
| cons(sK10(sP5_iProver_def),nil) = sP5_iProver_def
| nil = sK56 ),
inference(superposition,[status(thm)],[c_11836,c_59]) ).
cnf(c_13399,plain,
( cons(sK10(sP5_iProver_def),nil) = sP5_iProver_def
| nil = sK56 ),
inference(forward_subsumption_resolution,[status(thm)],[c_13398,c_11834]) ).
cnf(c_13408,plain,
( nil != sP0_iProver_def
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_8975,c_142]) ).
cnf(c_13411,plain,
nil != sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_13408,c_141,c_8984]) ).
cnf(c_13542,plain,
( X0 != sK55
| ~ singletonP(sK55)
| singletonP(X0) ),
inference(instantiation,[status(thm)],[c_8999]) ).
cnf(c_16530,plain,
( nil != sP2_iProver_def
| ~ ssList(sK60)
| ~ ssList(sP1_iProver_def)
| nil = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_8977,c_230]) ).
cnf(c_16531,plain,
( nil != sP4_iProver_def
| ~ ssList(sP2_iProver_def)
| ~ ssList(sP3_iProver_def)
| nil = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_8979,c_230]) ).
cnf(c_16532,plain,
( nil != sP5_iProver_def
| ~ ssList(sK61)
| ~ ssList(sP4_iProver_def)
| nil = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_8980,c_230]) ).
cnf(c_16566,plain,
( nil != sP5_iProver_def
| nil = sP4_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_16532,c_12519,c_8988]) ).
cnf(c_16569,plain,
( nil != sP4_iProver_def
| nil = sP2_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_16531,c_12422,c_12518]) ).
cnf(c_16572,plain,
( nil != sP2_iProver_def
| nil = sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_16530,c_12517,c_8987]) ).
cnf(c_16673,plain,
( nil != sP1_iProver_def
| ~ ssList(sK59)
| ~ ssList(sP0_iProver_def)
| nil = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_8976,c_231]) ).
cnf(c_16717,plain,
nil != sP1_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_16673,c_13411,c_12423,c_8986]) ).
cnf(c_16780,plain,
nil != sP5_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_16566,c_16572,c_16569,c_16566,c_16717]) ).
cnf(c_20112,plain,
( sP5_iProver_def != sK55
| ~ singletonP(sK55)
| singletonP(sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_13542]) ).
cnf(c_24198,plain,
( ~ memberP(sP0_iProver_def,X0)
| ~ ssItem(X0)
| ~ ssItem(sK57)
| ~ ssList(nil)
| X0 = sK57
| memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_8975,c_170]) ).
cnf(c_24200,plain,
( ~ memberP(sP5_iProver_def,X0)
| ~ ssItem(sK10(sP5_iProver_def))
| ~ ssItem(X0)
| ~ ssList(nil)
| sK10(sP5_iProver_def) = X0
| nil = sK56
| memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_13399,c_170]) ).
cnf(c_24206,plain,
( ~ memberP(sP0_iProver_def,X0)
| ~ ssItem(X0)
| X0 = sK57
| memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24198,c_141,c_8984]) ).
cnf(c_24211,plain,
( ~ memberP(sP5_iProver_def,X0)
| ~ ssItem(sK10(sP5_iProver_def))
| ~ ssItem(X0)
| sK10(sP5_iProver_def) = X0
| nil = sK56
| memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24200,c_141]) ).
cnf(c_26090,plain,
( ~ ssList(app(app(sP4_iProver_def,sK61),X0))
| ~ ssList(X0)
| ~ ssList(sK61)
| ~ ssList(sP4_iProver_def)
| segmentP(app(sP5_iProver_def,X0),sK61) ),
inference(superposition,[status(thm)],[c_8980,c_67]) ).
cnf(c_26252,plain,
( ~ ssList(app(sP5_iProver_def,X0))
| ~ ssList(X0)
| ~ ssList(sK61)
| ~ ssList(sP4_iProver_def)
| segmentP(app(sP5_iProver_def,X0),sK61) ),
inference(light_normalisation,[status(thm)],[c_26090,c_8980]) ).
cnf(c_26253,plain,
( ~ ssList(app(sP5_iProver_def,X0))
| ~ ssList(X0)
| segmentP(app(sP5_iProver_def,X0),sK61) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26252,c_12519,c_8988]) ).
cnf(c_38263,plain,
( ~ ssList(app(sP5_iProver_def,nil))
| ~ ssList(nil)
| segmentP(sP5_iProver_def,sK61) ),
inference(superposition,[status(thm)],[c_12360,c_26253]) ).
cnf(c_38268,plain,
( ~ ssList(nil)
| ~ ssList(sP5_iProver_def)
| segmentP(sP5_iProver_def,sK61) ),
inference(light_normalisation,[status(thm)],[c_38263,c_12360]) ).
cnf(c_38269,plain,
segmentP(sP5_iProver_def,sK61),
inference(forward_subsumption_resolution,[status(thm)],[c_38268,c_11834,c_141]) ).
cnf(c_38451,plain,
( X0 = sK57
| ~ ssItem(X0)
| ~ memberP(sP0_iProver_def,X0) ),
inference(global_subsumption_just,[status(thm)],[c_24206,c_171,c_24206]) ).
cnf(c_38452,plain,
( ~ memberP(sP0_iProver_def,X0)
| ~ ssItem(X0)
| X0 = sK57 ),
inference(renaming,[status(thm)],[c_38451]) ).
cnf(c_38893,plain,
( ~ segmentP(sK61,X0)
| ~ ssList(X0)
| ~ ssList(sK61)
| ~ ssList(sP5_iProver_def)
| segmentP(sP5_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_38269,c_190]) ).
cnf(c_38900,plain,
( ~ segmentP(sK61,X0)
| ~ ssList(X0)
| segmentP(sP5_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38893,c_11834,c_8988]) ).
cnf(c_39062,plain,
( ~ ssList(nil)
| ~ ssList(sK61)
| segmentP(sP5_iProver_def,nil) ),
inference(superposition,[status(thm)],[c_194,c_38900]) ).
cnf(c_39064,plain,
segmentP(sP5_iProver_def,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_39062,c_8988,c_141]) ).
cnf(c_39067,plain,
( ~ segmentP(nil,sP5_iProver_def)
| ~ ssList(nil)
| ~ ssList(sP5_iProver_def)
| nil = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_39064,c_191]) ).
cnf(c_39069,plain,
~ segmentP(nil,sP5_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_39067,c_16780,c_11834,c_141]) ).
cnf(c_211541,plain,
( ~ ssList(sK55)
| ssList(sP5_iProver_def) ),
inference(resolution,[status(thm)],[c_8998,c_8989]) ).
cnf(c_234795,plain,
( X0 != nil
| X0 = sK56
| singletonP(sK55) ),
inference(resolution,[status(thm)],[c_8993,c_3257]) ).
cnf(c_234796,plain,
( nil != nil
| nil = sK56
| singletonP(sK55) ),
inference(instantiation,[status(thm)],[c_234795]) ).
cnf(c_254359,plain,
( X0 != sK56
| X1 != sK55
| segmentP(X0,X1) ),
inference(resolution,[status(thm)],[c_9002,c_8983]) ).
cnf(c_255299,plain,
( X0 != sK56
| segmentP(X0,sP5_iProver_def) ),
inference(resolution,[status(thm)],[c_254359,c_8989]) ).
cnf(c_255300,plain,
( nil != sK56
| segmentP(nil,sP5_iProver_def) ),
inference(instantiation,[status(thm)],[c_255299]) ).
cnf(c_346438,plain,
( ~ ssList(sP5_iProver_def)
| ~ singletonP(sP5_iProver_def)
| ssItem(sK10(sP5_iProver_def)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_444549,plain,
ssList(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_8981,c_8989]) ).
cnf(c_445142,plain,
singletonP(sK55),
inference(global_subsumption_just,[status(thm)],[c_3257,c_141,c_195,c_308,c_39069,c_234796,c_255300]) ).
cnf(c_445144,plain,
singletonP(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_445142,c_8989]) ).
cnf(c_445145,plain,
( ~ ssList(sP5_iProver_def)
| cons(sK10(sP5_iProver_def),nil) = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_445144,c_59]) ).
cnf(c_445146,plain,
cons(sK10(sP5_iProver_def),nil) = sP5_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_445145,c_444549]) ).
cnf(c_445180,plain,
( ~ ssList(app(X0,cons(sK57,nil)))
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssList(nil)
| memberP(app(X0,sP0_iProver_def),sK57) ),
inference(superposition,[status(thm)],[c_8975,c_54]) ).
cnf(c_445188,plain,
( ~ ssList(app(X0,sP0_iProver_def))
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssList(nil)
| memberP(app(X0,sP0_iProver_def),sK57) ),
inference(light_normalisation,[status(thm)],[c_445180,c_8975]) ).
cnf(c_445189,plain,
( ~ ssList(app(X0,sP0_iProver_def))
| ~ ssList(X0)
| memberP(app(X0,sP0_iProver_def),sK57) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445188,c_141,c_8984]) ).
cnf(c_445619,plain,
( ~ ssList(app(X0,cons(sK58,nil)))
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssList(nil)
| memberP(app(X0,sP3_iProver_def),sK58) ),
inference(superposition,[status(thm)],[c_8978,c_54]) ).
cnf(c_445627,plain,
( ~ ssList(app(X0,sP3_iProver_def))
| ~ ssList(X0)
| ~ ssItem(sK58)
| ~ ssList(nil)
| memberP(app(X0,sP3_iProver_def),sK58) ),
inference(light_normalisation,[status(thm)],[c_445619,c_8978]) ).
cnf(c_445628,plain,
( ~ ssList(app(X0,sP3_iProver_def))
| ~ ssList(X0)
| memberP(app(X0,sP3_iProver_def),sK58) ),
inference(forward_subsumption_resolution,[status(thm)],[c_445627,c_141,c_8985]) ).
cnf(c_446034,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| ssList(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_8975,c_140]) ).
cnf(c_446035,plain,
( ~ ssItem(sK58)
| ~ ssList(nil)
| ssList(sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_8978,c_140]) ).
cnf(c_446041,plain,
ssList(sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_446035,c_141,c_8985]) ).
cnf(c_446042,plain,
ssList(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_446034,c_141,c_8984]) ).
cnf(c_446750,plain,
( ~ ssList(sK59)
| ~ ssList(sP0_iProver_def)
| ssList(sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_8976,c_153]) ).
cnf(c_446751,plain,
( ~ ssList(sK60)
| ~ ssList(sP1_iProver_def)
| ssList(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8977,c_153]) ).
cnf(c_446752,plain,
( ~ ssList(sP2_iProver_def)
| ~ ssList(sP3_iProver_def)
| ssList(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_8979,c_153]) ).
cnf(c_446764,plain,
( ~ ssList(sP2_iProver_def)
| ssList(sP4_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_446752,c_446041]) ).
cnf(c_446767,plain,
( ~ ssList(sP1_iProver_def)
| ssList(sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_446751,c_8987]) ).
cnf(c_446770,plain,
ssList(sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_446750,c_446042,c_8986]) ).
cnf(c_446771,plain,
ssList(sP2_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_446767,c_446770]) ).
cnf(c_446772,plain,
ssList(sP4_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_446764,c_446771]) ).
cnf(c_447284,plain,
( ~ lt(sK57,sK58)
| ~ ssItem(sK58)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_8990,c_161]) ).
cnf(c_447285,plain,
~ lt(sK57,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_447284,c_8984,c_8985]) ).
cnf(c_447406,plain,
( ~ memberP(sP1_iProver_def,X0)
| ~ ssItem(X0)
| ~ ssList(sK60)
| ~ ssList(sP1_iProver_def)
| memberP(sP2_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_8977,c_166]) ).
cnf(c_447407,plain,
( ~ memberP(sP2_iProver_def,X0)
| ~ ssItem(X0)
| ~ ssList(sP2_iProver_def)
| ~ ssList(sP3_iProver_def)
| memberP(sP4_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_8979,c_166]) ).
cnf(c_447408,plain,
( ~ memberP(sP4_iProver_def,X0)
| ~ ssItem(X0)
| ~ ssList(sK61)
| ~ ssList(sP4_iProver_def)
| memberP(sP5_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_8980,c_166]) ).
cnf(c_447411,plain,
( ~ memberP(sP4_iProver_def,X0)
| ~ ssItem(X0)
| memberP(sP5_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_447408,c_446772,c_8988]) ).
cnf(c_447415,plain,
( ~ memberP(sP2_iProver_def,X0)
| ~ ssItem(X0)
| memberP(sP4_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_447407,c_446041,c_446771]) ).
cnf(c_447419,plain,
( ~ memberP(sP1_iProver_def,X0)
| ~ ssItem(X0)
| memberP(sP2_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_447406,c_446770,c_8987]) ).
cnf(c_447566,plain,
( ~ memberP(sP0_iProver_def,X0)
| ~ ssItem(X0)
| ~ ssItem(sK57)
| ~ ssList(nil)
| X0 = sK57
| memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_8975,c_170]) ).
cnf(c_447573,plain,
( ~ memberP(sP0_iProver_def,X0)
| ~ ssItem(X0)
| X0 = sK57
| memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_447566,c_141,c_8984]) ).
cnf(c_448403,plain,
( ~ memberP(sP5_iProver_def,X0)
| ~ ssItem(sK10(sP5_iProver_def))
| ~ ssItem(X0)
| ~ ssList(nil)
| sK10(sP5_iProver_def) = X0
| memberP(nil,X0) ),
inference(superposition,[status(thm)],[c_445146,c_170]) ).
cnf(c_448442,plain,
( ~ memberP(sP5_iProver_def,X0)
| ~ ssItem(sK10(sP5_iProver_def))
| ~ ssItem(X0)
| sK10(sP5_iProver_def) = X0
| memberP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_448403,c_141]) ).
cnf(c_457069,plain,
( ~ ssList(app(sK59,sP0_iProver_def))
| ~ ssList(sK59)
| memberP(sP1_iProver_def,sK57) ),
inference(superposition,[status(thm)],[c_8976,c_445189]) ).
cnf(c_457073,plain,
( ~ ssList(sK59)
| ~ ssList(sP1_iProver_def)
| memberP(sP1_iProver_def,sK57) ),
inference(light_normalisation,[status(thm)],[c_457069,c_8976]) ).
cnf(c_457074,plain,
memberP(sP1_iProver_def,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_457073,c_446770,c_8986]) ).
cnf(c_459481,plain,
( ~ ssList(app(sP2_iProver_def,sP3_iProver_def))
| ~ ssList(sP2_iProver_def)
| memberP(sP4_iProver_def,sK58) ),
inference(superposition,[status(thm)],[c_8979,c_445628]) ).
cnf(c_459485,plain,
( ~ ssList(sP2_iProver_def)
| ~ ssList(sP4_iProver_def)
| memberP(sP4_iProver_def,sK58) ),
inference(light_normalisation,[status(thm)],[c_459481,c_8979]) ).
cnf(c_459486,plain,
memberP(sP4_iProver_def,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_459485,c_446772,c_446771]) ).
cnf(c_516289,plain,
( ~ ssItem(sK58)
| memberP(sP5_iProver_def,sK58) ),
inference(superposition,[status(thm)],[c_459486,c_447411]) ).
cnf(c_516290,plain,
memberP(sP5_iProver_def,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_516289,c_8985]) ).
cnf(c_516378,plain,
( ~ ssItem(sK57)
| memberP(sP2_iProver_def,sK57) ),
inference(superposition,[status(thm)],[c_457074,c_447419]) ).
cnf(c_516379,plain,
memberP(sP2_iProver_def,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_516378,c_8984]) ).
cnf(c_516393,plain,
( ~ ssItem(sK57)
| memberP(sP4_iProver_def,sK57) ),
inference(superposition,[status(thm)],[c_516379,c_447415]) ).
cnf(c_516394,plain,
memberP(sP4_iProver_def,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_516393,c_8984]) ).
cnf(c_516419,plain,
( ~ ssItem(sK57)
| memberP(sP5_iProver_def,sK57) ),
inference(superposition,[status(thm)],[c_516394,c_447411]) ).
cnf(c_516420,plain,
memberP(sP5_iProver_def,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_516419,c_8984]) ).
cnf(c_517181,plain,
( X0 = sK57
| ~ ssItem(X0)
| ~ memberP(sP0_iProver_def,X0) ),
inference(global_subsumption_just,[status(thm)],[c_447573,c_38452]) ).
cnf(c_517182,plain,
( ~ memberP(sP0_iProver_def,X0)
| ~ ssItem(X0)
| X0 = sK57 ),
inference(renaming,[status(thm)],[c_517181]) ).
cnf(c_530190,plain,
( sK10(sP5_iProver_def) = X0
| ~ ssItem(X0)
| ~ memberP(sP5_iProver_def,X0) ),
inference(global_subsumption_just,[status(thm)],[c_448442,c_258,c_141,c_195,c_171,c_308,c_8989,c_20112,c_24211,c_39069,c_211541,c_234796,c_255300,c_346438]) ).
cnf(c_530191,plain,
( ~ memberP(sP5_iProver_def,X0)
| ~ ssItem(X0)
| sK10(sP5_iProver_def) = X0 ),
inference(renaming,[status(thm)],[c_530190]) ).
cnf(c_530201,plain,
( ~ ssItem(sK57)
| sK10(sP5_iProver_def) = sK57 ),
inference(superposition,[status(thm)],[c_516420,c_530191]) ).
cnf(c_530202,plain,
sK10(sP5_iProver_def) = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_530201,c_8984]) ).
cnf(c_530208,plain,
cons(sK57,nil) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_445146,c_530202]) ).
cnf(c_530209,plain,
sP0_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_530208,c_8975]) ).
cnf(c_530226,plain,
memberP(sP0_iProver_def,sK58),
inference(demodulation,[status(thm)],[c_516290,c_530209]) ).
cnf(c_530461,plain,
( ~ ssItem(sK58)
| sK58 = sK57 ),
inference(superposition,[status(thm)],[c_530226,c_517182]) ).
cnf(c_530464,plain,
sK58 = sK57,
inference(forward_subsumption_resolution,[status(thm)],[c_530461,c_8985]) ).
cnf(c_530540,plain,
~ lt(sK58,sK58),
inference(demodulation,[status(thm)],[c_447285,c_530464]) ).
cnf(c_530542,plain,
lt(sK58,sK58),
inference(demodulation,[status(thm)],[c_8990,c_530464]) ).
cnf(c_530732,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_530540,c_530542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC307+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:22:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 234.74/31.41 % SZS status Started for theBenchmark.p
% 234.74/31.41 % SZS status Theorem for theBenchmark.p
% 234.74/31.41
% 234.74/31.41 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 234.74/31.41
% 234.74/31.41 ------ iProver source info
% 234.74/31.41
% 234.74/31.41 git: date: 2024-05-02 19:28:25 +0000
% 234.74/31.41 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 234.74/31.41 git: non_committed_changes: false
% 234.74/31.41
% 234.74/31.41 ------ Parsing...
% 234.74/31.41 ------ Clausification by vclausify_rel & Parsing by iProver...
% 234.74/31.41
% 234.74/31.41 ------ 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
% 234.74/31.41
% 234.74/31.41 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 234.74/31.41
% 234.74/31.41 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 234.74/31.41 ------ Proving...
% 234.74/31.41 ------ Problem Properties
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 clauses 197
% 234.74/31.41 conjectures 10
% 234.74/31.41 EPR 60
% 234.74/31.41 Horn 128
% 234.74/31.41 unary 32
% 234.74/31.41 binary 41
% 234.74/31.41 lits 636
% 234.74/31.41 lits eq 86
% 234.74/31.41 fd_pure 0
% 234.74/31.41 fd_pseudo 0
% 234.74/31.41 fd_cond 21
% 234.74/31.41 fd_pseudo_cond 14
% 234.74/31.41 AC symbols 0
% 234.74/31.41
% 234.74/31.41 ------ Schedule dynamic 5 is on
% 234.74/31.41
% 234.74/31.41 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 ------
% 234.74/31.41 Current options:
% 234.74/31.41 ------
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 ------ Proving...
% 234.74/31.41 Proof_search_loop: time out after: 8721 full_loop iterations
% 234.74/31.41
% 234.74/31.41 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 ------
% 234.74/31.41 Current options:
% 234.74/31.41 ------
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 ------ Proving...
% 234.74/31.41 Proof_search_loop: time out after: 11404 full_loop iterations
% 234.74/31.41
% 234.74/31.41 ------ Option_1: Negative Selections Time Limit: 35.
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 ------
% 234.74/31.41 Current options:
% 234.74/31.41 ------
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 ------ Proving...
% 234.74/31.41
% 234.74/31.41
% 234.74/31.41 % SZS status Theorem for theBenchmark.p
% 234.74/31.41
% 234.74/31.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 234.74/31.41
% 234.74/31.42
%------------------------------------------------------------------------------