TSTP Solution File: RNG048+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG048+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 : Mon Jun 24 14:03:12 EDT 2024
% Result : Theorem 10.11s 2.15s
% Output : CNFRefutation 10.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,conjecture,
! [X0] :
( aVector0(X0)
=> ( ! [X1] :
( aVector0(X1)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f38,negated_conjecture,
~ ! [X0] :
( aVector0(X0)
=> ( ! [X1] :
( aVector0(X1)
=> ( iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f44,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f49,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f53,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f52]) ).
fof(f66,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f77,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f78,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f82,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f83,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f84,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f88,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f90,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f92,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f94,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f96,plain,
? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
=> ( sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ( sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
& aNaturalNumber0(sK1(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| sziznziztdt0(X0) != X1 ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f101,f102]) ).
fof(f104,plain,
( ? [X0] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(X0))
| ~ aVector0(X1) )
& aVector0(X0) )
=> ( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK2))
| ~ aVector0(X1) )
& aVector0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2))
& ! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK2))
| ~ aVector0(X1) )
& aVector0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f96,f104]) ).
fof(f107,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f112,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f113,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f135,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f141,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f143,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f145,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f146,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f147,plain,
! [X0,X1] :
( aVector0(X1)
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f148,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f149,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| sziznziztdt0(X0) != X1
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f152,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f153,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f154,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f155,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f156,plain,
aVector0(sK2),
inference(cnf_transformation,[],[f105]) ).
fof(f157,plain,
! [X1] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(sK2))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f158,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)),
inference(cnf_transformation,[],[f105]) ).
fof(f159,plain,
! [X3,X0] :
( sdtlbdtrb0(X0,X3) = sdtlbdtrb0(sziznziztdt0(X0),X3)
| ~ aNaturalNumber0(X3)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f149]) ).
fof(f160,plain,
! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f148]) ).
fof(f161,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f147]) ).
cnf(c_51,plain,
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_55,plain,
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f113]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_78,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_85,plain,
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_86,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_88,plain,
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_89,plain,
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| aScalar0(sdtlbdtrb0(X1,X0)) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_92,plain,
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(sziznziztdt0(X1),X0) = sdtlbdtrb0(X1,X0)
| aDimensionOf0(X1) = sz00 ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_93,plain,
( ~ aVector0(X0)
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0)
| aDimensionOf0(X0) = sz00 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_94,plain,
( ~ aVector0(X0)
| aDimensionOf0(X0) = sz00
| aVector0(sziznziztdt0(X0)) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_95,plain,
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| aDimensionOf0(X1) = sz00 ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_96,plain,
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_97,plain,
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(X1) != sz00
| ~ aVector0(X0)
| ~ aVector0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_98,plain,
( aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1)
| sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X0,X1)
| aDimensionOf0(X1) = sz00 ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_99,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)),
inference(cnf_transformation,[],[f158]) ).
cnf(c_100,negated_conjecture,
( ~ iLess0(aDimensionOf0(X0),aDimensionOf0(sK2))
| ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_101,negated_conjecture,
aVector0(sK2),
inference(cnf_transformation,[],[f156]) ).
cnf(c_103,plain,
( ~ aScalar0(sz0z00)
| sdtlseqdt0(sz0z00,sz0z00) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_524,plain,
( szszuzczcdt0(X0) != aDimensionOf0(sK2)
| aDimensionOf0(X1) != X0
| ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
inference(resolution_lifted,[status(thm)],[c_55,c_100]) ).
cnf(c_525,plain,
( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(sK2)
| ~ aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(unflattening,[status(thm)],[c_524]) ).
cnf(c_527,plain,
( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(sK2)
| ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_525,c_88,c_525]) ).
cnf(c_912,plain,
( szszuzczcdt0(aDimensionOf0(X0_14)) != aDimensionOf0(sK2)
| ~ aVector0(X0_14)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0_14,X0_14)) ),
inference(subtyping,[status(esa)],[c_527]) ).
cnf(c_914,negated_conjecture,
aVector0(sK2),
inference(subtyping,[status(esa)],[c_101]) ).
cnf(c_915,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)),
inference(subtyping,[status(esa)],[c_99]) ).
cnf(c_916,plain,
( aDimensionOf0(X0_14) != aDimensionOf0(X1_14)
| ~ aVector0(X0_14)
| ~ aVector0(X1_14)
| sdtpldt0(sdtasasdt0(sziznziztdt0(X0_14),sziznziztdt0(X1_14)),sdtasdt0(sdtlbdtrb0(X0_14,aDimensionOf0(X0_14)),sdtlbdtrb0(X1_14,aDimensionOf0(X1_14)))) = sdtasasdt0(X0_14,X1_14)
| aDimensionOf0(X1_14) = sz00 ),
inference(subtyping,[status(esa)],[c_98]) ).
cnf(c_917,plain,
( aDimensionOf0(X0_14) != aDimensionOf0(X1_14)
| aDimensionOf0(X1_14) != sz00
| ~ aVector0(X0_14)
| ~ aVector0(X1_14)
| sdtasasdt0(X0_14,X1_14) = sz0z00 ),
inference(subtyping,[status(esa)],[c_97]) ).
cnf(c_918,plain,
( aDimensionOf0(X0_14) != aDimensionOf0(X1_14)
| ~ aVector0(X0_14)
| ~ aVector0(X1_14)
| aScalar0(sdtasasdt0(X0_14,X1_14)) ),
inference(subtyping,[status(esa)],[c_96]) ).
cnf(c_919,plain,
( aDimensionOf0(X0_14) != aDimensionOf0(X1_14)
| ~ aVector0(X0_14)
| ~ aVector0(X1_14)
| aDimensionOf0(sziznziztdt0(X0_14)) = aDimensionOf0(sziznziztdt0(X1_14))
| aDimensionOf0(X1_14) = sz00 ),
inference(subtyping,[status(esa)],[c_95]) ).
cnf(c_920,plain,
( ~ aVector0(X0_14)
| aDimensionOf0(X0_14) = sz00
| aVector0(sziznziztdt0(X0_14)) ),
inference(subtyping,[status(esa)],[c_94]) ).
cnf(c_921,plain,
( ~ aVector0(X0_14)
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0_14))) = aDimensionOf0(X0_14)
| aDimensionOf0(X0_14) = sz00 ),
inference(subtyping,[status(esa)],[c_93]) ).
cnf(c_922,plain,
( ~ aNaturalNumber0(X0_13)
| ~ aVector0(X0_14)
| sdtlbdtrb0(sziznziztdt0(X0_14),X0_13) = sdtlbdtrb0(X0_14,X0_13)
| aDimensionOf0(X0_14) = sz00 ),
inference(subtyping,[status(esa)],[c_92]) ).
cnf(c_925,plain,
( ~ aNaturalNumber0(X0_13)
| ~ aVector0(X0_14)
| aScalar0(sdtlbdtrb0(X0_14,X0_13)) ),
inference(subtyping,[status(esa)],[c_89]) ).
cnf(c_926,plain,
( ~ aVector0(X0_14)
| aNaturalNumber0(aDimensionOf0(X0_14)) ),
inference(subtyping,[status(esa)],[c_88]) ).
cnf(c_928,plain,
( ~ aScalar0(X0_15)
| sdtlseqdt0(sz0z00,sdtasdt0(X0_15,X0_15)) ),
inference(subtyping,[status(esa)],[c_86]) ).
cnf(c_929,plain,
( ~ sdtlseqdt0(sz0z00,X0_15)
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(sz0z00,sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_85]) ).
cnf(c_955,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_961,plain,
( ~ aNaturalNumber0(X0_13)
| aNaturalNumber0(szszuzczcdt0(X0_13)) ),
inference(subtyping,[status(esa)],[c_51]) ).
cnf(c_969,plain,
sdtasasdt0(sK2,sK2) = sP3_iProver_def,
definition ).
cnf(c_970,negated_conjecture,
~ sdtlseqdt0(sz0z00,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_915,c_969]) ).
cnf(c_971,negated_conjecture,
aVector0(sK2),
inference(demodulation,[status(thm)],[c_914]) ).
cnf(c_974,plain,
X0_14 = X0_14,
theory(equality) ).
cnf(c_975,plain,
X0_15 = X0_15,
theory(equality) ).
cnf(c_978,plain,
( X0_15 != X1_15
| X2_15 != X1_15
| X2_15 = X0_15 ),
theory(equality) ).
cnf(c_985,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| ~ sdtlseqdt0(X1_15,X3_15)
| sdtlseqdt0(X0_15,X2_15) ),
theory(equality) ).
cnf(c_986,plain,
( X0_14 != X1_14
| aDimensionOf0(X0_14) = aDimensionOf0(X1_14) ),
theory(equality) ).
cnf(c_994,plain,
( sK2 != sK2
| aDimensionOf0(sK2) = aDimensionOf0(sK2) ),
inference(instantiation,[status(thm)],[c_986]) ).
cnf(c_999,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_974]) ).
cnf(c_1000,plain,
sz0z00 = sz0z00,
inference(instantiation,[status(thm)],[c_975]) ).
cnf(c_1002,plain,
( aDimensionOf0(sK2) != aDimensionOf0(sK2)
| ~ aVector0(sK2)
| sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) = sdtasasdt0(sK2,sK2)
| aDimensionOf0(sK2) = sz00 ),
inference(instantiation,[status(thm)],[c_916]) ).
cnf(c_1003,plain,
( aDimensionOf0(sK2) != aDimensionOf0(sK2)
| aDimensionOf0(sK2) != sz00
| ~ aVector0(sK2)
| sdtasasdt0(sK2,sK2) = sz0z00 ),
inference(instantiation,[status(thm)],[c_917]) ).
cnf(c_1005,plain,
( aDimensionOf0(sK2) != aDimensionOf0(sK2)
| ~ aVector0(sK2)
| aDimensionOf0(sziznziztdt0(sK2)) = aDimensionOf0(sziznziztdt0(sK2))
| aDimensionOf0(sK2) = sz00 ),
inference(instantiation,[status(thm)],[c_919]) ).
cnf(c_1006,plain,
( ~ aVector0(sK2)
| aDimensionOf0(sK2) = sz00
| aVector0(sziznziztdt0(sK2)) ),
inference(instantiation,[status(thm)],[c_920]) ).
cnf(c_1007,plain,
( ~ aVector0(sK2)
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2)
| aDimensionOf0(sK2) = sz00 ),
inference(instantiation,[status(thm)],[c_921]) ).
cnf(c_1012,plain,
( ~ aVector0(sK2)
| aNaturalNumber0(aDimensionOf0(sK2)) ),
inference(instantiation,[status(thm)],[c_926]) ).
cnf(c_1937,plain,
( sz0z00 != X0_15
| sP3_iProver_def != X1_15
| ~ sdtlseqdt0(X0_15,X1_15)
| sdtlseqdt0(sz0z00,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_985]) ).
cnf(c_1938,plain,
( sz0z00 != sz0z00
| sP3_iProver_def != sz0z00
| ~ sdtlseqdt0(sz0z00,sz0z00)
| sdtlseqdt0(sz0z00,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_1937]) ).
cnf(c_1955,plain,
( X0_15 != X1_15
| sP3_iProver_def != X1_15
| sP3_iProver_def = X0_15 ),
inference(instantiation,[status(thm)],[c_978]) ).
cnf(c_1995,plain,
( X0_15 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = X0_15 ),
inference(instantiation,[status(thm)],[c_1955]) ).
cnf(c_2091,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_975]) ).
cnf(c_2103,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) != aDimensionOf0(sK2)
| ~ aVector0(sziznziztdt0(sK2))
| sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
inference(instantiation,[status(thm)],[c_912]) ).
cnf(c_2335,plain,
( sdtasasdt0(sK2,sK2) != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sdtasasdt0(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_1995]) ).
cnf(c_2427,plain,
( X0_15 != sdtasasdt0(sK2,sK2)
| sP3_iProver_def != sdtasasdt0(sK2,sK2)
| sP3_iProver_def = X0_15 ),
inference(instantiation,[status(thm)],[c_1955]) ).
cnf(c_2429,plain,
( sz0z00 != sdtasasdt0(sK2,sK2)
| sP3_iProver_def != sdtasasdt0(sK2,sK2)
| sP3_iProver_def = sz0z00 ),
inference(instantiation,[status(thm)],[c_2427]) ).
cnf(c_3559,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) != sdtasasdt0(sK2,sK2)
| sP3_iProver_def != sdtasasdt0(sK2,sK2)
| sP3_iProver_def = sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
inference(instantiation,[status(thm)],[c_2427]) ).
cnf(c_3567,plain,
( sdtasasdt0(sK2,sK2) != X0_15
| X1_15 != X0_15
| X1_15 = sdtasasdt0(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_978]) ).
cnf(c_3568,plain,
( sdtasasdt0(sK2,sK2) != sz0z00
| sz0z00 != sz0z00
| sz0z00 = sdtasasdt0(sK2,sK2) ),
inference(instantiation,[status(thm)],[c_3567]) ).
cnf(c_6012,plain,
( sz0z00 != X0_15
| sP3_iProver_def != sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ sdtlseqdt0(X0_15,sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))))
| sdtlseqdt0(sz0z00,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_1937]) ).
cnf(c_6013,plain,
( sz0z00 != sz0z00
| sP3_iProver_def != sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))))
| sdtlseqdt0(sz0z00,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_6012]) ).
cnf(c_7360,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2)
| aDimensionOf0(sK2) = sz00 ),
inference(superposition,[status(thm)],[c_971,c_921]) ).
cnf(c_7388,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2),
inference(global_subsumption_just,[status(thm)],[c_7360,c_101,c_56,c_103,c_994,c_999,c_1000,c_1003,c_1007,c_969,c_970,c_1938,c_2091,c_2335,c_2429,c_3568]) ).
cnf(c_7391,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK2)))
| aNaturalNumber0(aDimensionOf0(sK2)) ),
inference(superposition,[status(thm)],[c_7388,c_961]) ).
cnf(c_7393,plain,
aNaturalNumber0(aDimensionOf0(sK2)),
inference(global_subsumption_just,[status(thm)],[c_7391,c_101,c_1012]) ).
cnf(c_7668,plain,
( ~ aNaturalNumber0(X0_13)
| sdtlbdtrb0(sziznziztdt0(sK2),X0_13) = sdtlbdtrb0(sK2,X0_13)
| aDimensionOf0(sK2) = sz00 ),
inference(superposition,[status(thm)],[c_971,c_922]) ).
cnf(c_9286,plain,
( sdtlbdtrb0(sziznziztdt0(sK2),X0_13) = sdtlbdtrb0(sK2,X0_13)
| ~ aNaturalNumber0(X0_13) ),
inference(global_subsumption_just,[status(thm)],[c_7668,c_101,c_56,c_103,c_994,c_999,c_1000,c_1003,c_969,c_970,c_1938,c_2091,c_2335,c_2429,c_3568,c_7668]) ).
cnf(c_9287,plain,
( ~ aNaturalNumber0(X0_13)
| sdtlbdtrb0(sziznziztdt0(sK2),X0_13) = sdtlbdtrb0(sK2,X0_13) ),
inference(renaming,[status(thm)],[c_9286]) ).
cnf(c_9293,plain,
sdtlbdtrb0(sziznziztdt0(sK2),aDimensionOf0(sK2)) = sdtlbdtrb0(sK2,aDimensionOf0(sK2)),
inference(superposition,[status(thm)],[c_7393,c_9287]) ).
cnf(c_9581,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK2))
| ~ aVector0(sziznziztdt0(sK2))
| aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2))) ),
inference(superposition,[status(thm)],[c_9293,c_925]) ).
cnf(c_25088,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)))
| sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))) ),
inference(instantiation,[status(thm)],[c_929]) ).
cnf(c_31453,plain,
( aDimensionOf0(sziznziztdt0(sK2)) != aDimensionOf0(sziznziztdt0(sK2))
| ~ aVector0(sziznziztdt0(sK2))
| aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
inference(instantiation,[status(thm)],[c_918]) ).
cnf(c_36680,plain,
( ~ aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)))
| aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
inference(instantiation,[status(thm)],[c_955]) ).
cnf(c_50040,plain,
( ~ aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)))
| sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
inference(instantiation,[status(thm)],[c_928]) ).
cnf(c_50041,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50040,c_36680,c_31453,c_25088,c_9581,c_6013,c_3568,c_3559,c_2429,c_2335,c_2103,c_2091,c_1938,c_970,c_969,c_1012,c_1007,c_1006,c_1005,c_1003,c_1002,c_1000,c_999,c_994,c_103,c_56,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG048+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 14:50:09 EDT 2024
% 0.12/0.33 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.11/2.15 % SZS status Started for theBenchmark.p
% 10.11/2.15 % SZS status Theorem for theBenchmark.p
% 10.11/2.15
% 10.11/2.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.11/2.15
% 10.11/2.15 ------ iProver source info
% 10.11/2.15
% 10.11/2.15 git: date: 2024-06-12 09:56:46 +0000
% 10.11/2.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.11/2.15 git: non_committed_changes: false
% 10.11/2.15
% 10.11/2.15 ------ Parsing...
% 10.11/2.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.11/2.15
% 10.11/2.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 10.11/2.15
% 10.11/2.15 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.11/2.15
% 10.11/2.15 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 10.11/2.15 ------ Proving...
% 10.11/2.15 ------ Problem Properties
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 clauses 56
% 10.11/2.15 conjectures 2
% 10.11/2.15 EPR 11
% 10.11/2.15 Horn 44
% 10.11/2.15 unary 6
% 10.11/2.15 binary 16
% 10.11/2.15 lits 185
% 10.11/2.15 lits eq 51
% 10.11/2.15 fd_pure 0
% 10.11/2.15 fd_pseudo 0
% 10.11/2.15 fd_cond 1
% 10.11/2.15 fd_pseudo_cond 5
% 10.11/2.15 AC symbols 0
% 10.11/2.15
% 10.11/2.15 ------ Input Options Time Limit: Unbounded
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 ------
% 10.11/2.15 Current options:
% 10.11/2.15 ------
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 ------ Proving...
% 10.11/2.15
% 10.11/2.15
% 10.11/2.15 % SZS status Theorem for theBenchmark.p
% 10.11/2.15
% 10.11/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.11/2.15
% 10.11/2.15
%------------------------------------------------------------------------------