TSTP Solution File: RNG048+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG048+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 13:54:54 EDT 2023
% Result : Theorem 7.24s 1.62s
% Output : CNFRefutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 148 ( 20 unt; 0 def)
% Number of atoms : 524 ( 190 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 652 ( 276 ~; 289 |; 52 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn; 124 !; 7 ?)
% 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(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
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(f67,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f68,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f67]) ).
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(f108,plain,
! [X0] :
( sz00 != 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(f136,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f68]) ).
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_50,plain,
( szszuzczcdt0(X0) != sz00
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
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_79,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f136]) ).
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_130,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00)
| sz0z00 = sz0z00 ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_872,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_873,plain,
( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(sK2)
| ~ aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(unflattening,[status(thm)],[c_872]) ).
cnf(c_875,plain,
( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(sK2)
| ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_873,c_88,c_873]) ).
cnf(c_1609,plain,
X0 = X0,
theory(equality) ).
cnf(c_1611,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1618,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_2897,plain,
( ~ aVector0(sK2)
| aNaturalNumber0(aDimensionOf0(sK2)) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_2923,plain,
( ~ aVector0(sK2)
| aDimensionOf0(sK2) = sz00
| aVector0(sziznziztdt0(sK2)) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_2924,plain,
( ~ aVector0(sK2)
| szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2)
| aDimensionOf0(sK2) = sz00 ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_2974,plain,
( aDimensionOf0(sK2) != aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(sK2)
| aDimensionOf0(sziznziztdt0(sK2)) = aDimensionOf0(sziznziztdt0(X0))
| aDimensionOf0(X0) = sz00 ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_3037,plain,
( aDimensionOf0(X0) != sz00
| aDimensionOf0(sK2) != aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(sK2)
| sdtasasdt0(sK2,X0) = sz0z00 ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_3039,plain,
( sdtasasdt0(sK2,sK2) != X0
| sz0z00 != X1
| ~ sdtlseqdt0(X1,X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)) ),
inference(instantiation,[status(thm)],[c_1618]) ).
cnf(c_3040,plain,
( sdtasasdt0(sK2,sK2) != sz0z00
| sz0z00 != sz0z00
| ~ sdtlseqdt0(sz0z00,sz0z00)
| sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)) ),
inference(instantiation,[status(thm)],[c_3039]) ).
cnf(c_3101,plain,
( aDimensionOf0(sK2) != aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(sK2)
| sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(sK2,X0)
| aDimensionOf0(X0) = sz00 ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_3411,plain,
( aDimensionOf0(sK2) != aDimensionOf0(sK2)
| ~ aVector0(sK2)
| aDimensionOf0(sziznziztdt0(sK2)) = aDimensionOf0(sziznziztdt0(sK2))
| aDimensionOf0(sK2) = sz00 ),
inference(instantiation,[status(thm)],[c_2974]) ).
cnf(c_3412,plain,
( aDimensionOf0(sK2) != aDimensionOf0(sK2)
| aDimensionOf0(sK2) != sz00
| ~ aVector0(sK2)
| sdtasasdt0(sK2,sK2) = sz0z00 ),
inference(instantiation,[status(thm)],[c_3037]) ).
cnf(c_3443,plain,
sdtasasdt0(sK2,sK2) = sdtasasdt0(sK2,sK2),
inference(instantiation,[status(thm)],[c_1609]) ).
cnf(c_3444,plain,
( sdtasasdt0(sK2,sK2) != X0
| X1 != X0
| sdtasasdt0(sK2,sK2) = X1 ),
inference(instantiation,[status(thm)],[c_1611]) ).
cnf(c_3507,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_3101]) ).
cnf(c_3559,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2)
| aDimensionOf0(sK2) = sz00 ),
inference(superposition,[status(thm)],[c_101,c_93]) ).
cnf(c_3791,plain,
aDimensionOf0(sK2) = aDimensionOf0(sK2),
inference(instantiation,[status(thm)],[c_1609]) ).
cnf(c_3857,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2),
inference(global_subsumption_just,[status(thm)],[c_3559,c_101,c_56,c_99,c_103,c_130,c_2924,c_3040,c_3412,c_3791]) ).
cnf(c_3860,plain,
( aDimensionOf0(sK2) != sz00
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK2))) ),
inference(superposition,[status(thm)],[c_3857,c_50]) ).
cnf(c_3861,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(sK2)))
| aNaturalNumber0(aDimensionOf0(sK2)) ),
inference(superposition,[status(thm)],[c_3857,c_51]) ).
cnf(c_3864,plain,
( ~ aVector0(sziznziztdt0(sK2))
| sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
inference(superposition,[status(thm)],[c_3857,c_875]) ).
cnf(c_3899,plain,
aNaturalNumber0(aDimensionOf0(sK2)),
inference(global_subsumption_just,[status(thm)],[c_3861,c_101,c_2897]) ).
cnf(c_3902,plain,
( ~ aVector0(X0)
| sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(sK2)) = sdtlbdtrb0(X0,aDimensionOf0(sK2))
| aDimensionOf0(X0) = sz00 ),
inference(superposition,[status(thm)],[c_3899,c_92]) ).
cnf(c_3911,plain,
aDimensionOf0(sK2) != sz00,
inference(global_subsumption_just,[status(thm)],[c_3860,c_101,c_56,c_99,c_103,c_130,c_3040,c_3412,c_3791]) ).
cnf(c_4324,plain,
( sdtlbdtrb0(sziznziztdt0(sK2),aDimensionOf0(sK2)) = sdtlbdtrb0(sK2,aDimensionOf0(sK2))
| aDimensionOf0(sK2) = sz00 ),
inference(superposition,[status(thm)],[c_101,c_3902]) ).
cnf(c_4325,plain,
sdtlbdtrb0(sziznziztdt0(sK2),aDimensionOf0(sK2)) = sdtlbdtrb0(sK2,aDimensionOf0(sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_4324,c_3911]) ).
cnf(c_4331,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK2))
| ~ aVector0(sziznziztdt0(sK2))
| aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2))) ),
inference(superposition,[status(thm)],[c_4325,c_89]) ).
cnf(c_4332,plain,
( ~ aVector0(sziznziztdt0(sK2))
| aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4331,c_3899]) ).
cnf(c_4575,plain,
( sdtasasdt0(sK2,sK2) != sdtasasdt0(sK2,sK2)
| X0 != sdtasasdt0(sK2,sK2)
| sdtasasdt0(sK2,sK2) = X0 ),
inference(instantiation,[status(thm)],[c_3444]) ).
cnf(c_6040,plain,
( aDimensionOf0(sziznziztdt0(sK2)) != aDimensionOf0(X0)
| ~ aVector0(sziznziztdt0(sK2))
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(sziznziztdt0(sK2),X0)) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_7319,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) != sdtasasdt0(sK2,sK2)
| sdtasasdt0(sK2,sK2) != sdtasasdt0(sK2,sK2)
| sdtasasdt0(sK2,sK2) = sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
inference(instantiation,[status(thm)],[c_4575]) ).
cnf(c_9647,plain,
( sdtasasdt0(sK2,sK2) != sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| sz0z00 != X0
| ~ sdtlseqdt0(X0,sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))))
| sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)) ),
inference(instantiation,[status(thm)],[c_3039]) ).
cnf(c_9648,plain,
( sdtasasdt0(sK2,sK2) != sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| sz0z00 != sz0z00
| ~ sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))))
| sdtlseqdt0(sz0z00,sdtasasdt0(sK2,sK2)) ),
inference(instantiation,[status(thm)],[c_9647]) ).
cnf(c_10034,plain,
( aDimensionOf0(sziznziztdt0(sK2)) != aDimensionOf0(sziznziztdt0(sK2))
| ~ aVector0(sziznziztdt0(sK2))
| aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
inference(instantiation,[status(thm)],[c_6040]) ).
cnf(c_15820,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_85]) ).
cnf(c_25729,plain,
( ~ aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)))
| aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_26949,plain,
( ~ aVector0(X0)
| sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(X0,X0)
| aDimensionOf0(X0) = sz00 ),
inference(equality_resolution,[status(thm)],[c_98]) ).
cnf(c_26959,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) = sdtasasdt0(sK2,sK2)
| aDimensionOf0(sK2) = sz00 ),
inference(superposition,[status(thm)],[c_101,c_26949]) ).
cnf(c_26962,plain,
sdtpldt0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2)),sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))) = sdtasasdt0(sK2,sK2),
inference(global_subsumption_just,[status(thm)],[c_26959,c_101,c_56,c_99,c_103,c_130,c_3040,c_3412,c_3507,c_3791]) ).
cnf(c_27831,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2)
| aDimensionOf0(sK2) = sz00 ),
inference(superposition,[status(thm)],[c_101,c_93]) ).
cnf(c_27847,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(sK2))) = aDimensionOf0(sK2),
inference(global_subsumption_just,[status(thm)],[c_27831,c_101,c_56,c_99,c_103,c_130,c_2924,c_3040,c_3412,c_3791]) ).
cnf(c_27855,plain,
( ~ aVector0(sziznziztdt0(sK2))
| sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
inference(superposition,[status(thm)],[c_27847,c_875]) ).
cnf(c_27890,plain,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_27855,c_101,c_56,c_99,c_103,c_130,c_2923,c_3040,c_3412,c_3791,c_3864]) ).
cnf(c_28033,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,sdtasasdt0(sK2,sK2)) ),
inference(superposition,[status(thm)],[c_26962,c_85]) ).
cnf(c_28049,plain,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(sK2),sziznziztdt0(sK2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28033,c_99,c_27890]) ).
cnf(c_28219,plain,
~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(sK2,aDimensionOf0(sK2)),sdtlbdtrb0(sK2,aDimensionOf0(sK2)))),
inference(global_subsumption_just,[status(thm)],[c_28049,c_101,c_56,c_99,c_103,c_130,c_2923,c_3040,c_3411,c_3412,c_3443,c_3507,c_3791,c_3864,c_4332,c_7319,c_9648,c_10034,c_15820,c_25729]) ).
cnf(c_28224,plain,
~ aScalar0(sdtlbdtrb0(sK2,aDimensionOf0(sK2))),
inference(superposition,[status(thm)],[c_86,c_28219]) ).
cnf(c_28228,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28224,c_4332,c_3791,c_3412,c_3040,c_2923,c_130,c_103,c_99,c_56,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 03:22:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.24/1.62 % SZS status Started for theBenchmark.p
% 7.24/1.62 % SZS status Theorem for theBenchmark.p
% 7.24/1.62
% 7.24/1.62 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.24/1.62
% 7.24/1.62 ------ iProver source info
% 7.24/1.62
% 7.24/1.62 git: date: 2023-05-31 18:12:56 +0000
% 7.24/1.62 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.24/1.62 git: non_committed_changes: false
% 7.24/1.62 git: last_make_outside_of_git: false
% 7.24/1.62
% 7.24/1.62 ------ Parsing...
% 7.24/1.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.24/1.62
% 7.24/1.62 ------ 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
% 7.24/1.62
% 7.24/1.62 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.24/1.62
% 7.24/1.62 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 7.24/1.62 ------ Proving...
% 7.24/1.62 ------ Problem Properties
% 7.24/1.62
% 7.24/1.62
% 7.24/1.62 clauses 55
% 7.24/1.62 conjectures 2
% 7.24/1.62 EPR 10
% 7.24/1.62 Horn 43
% 7.24/1.62 unary 5
% 7.24/1.62 binary 16
% 7.24/1.62 lits 184
% 7.24/1.62 lits eq 50
% 7.24/1.62 fd_pure 0
% 7.24/1.62 fd_pseudo 0
% 7.24/1.62 fd_cond 1
% 7.24/1.62 fd_pseudo_cond 5
% 7.24/1.62 AC symbols 0
% 7.24/1.62
% 7.24/1.62 ------ Schedule dynamic 5 is on
% 7.24/1.62
% 7.24/1.62 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.24/1.62
% 7.24/1.62
% 7.24/1.62 ------
% 7.24/1.62 Current options:
% 7.24/1.62 ------
% 7.24/1.62
% 7.24/1.62
% 7.24/1.62
% 7.24/1.62
% 7.24/1.62 ------ Proving...
% 7.24/1.62
% 7.24/1.62
% 7.24/1.62 % SZS status Theorem for theBenchmark.p
% 7.24/1.62
% 7.24/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.24/1.63
% 7.24/1.63
%------------------------------------------------------------------------------