%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG081+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:47 PM UTC 2026
% Result : Theorem 3.85s 6.51s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 93 ( 28 unt; 5 def)
% Number of atoms : 487 ( 182 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 502 ( 108 ~; 98 |; 280 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 25 ( 25 usr; 5 con; 0-8 aty)
% Number of variables : 335 ( 0 sgn 239 !; 96 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) = sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,conjecture,
( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& X13 = sdtasdt0(X10,X12)
& aScalar0(X13) )
& X12 = sdtasdt0(X7,X5)
& aScalar0(X12) )
& X11 = sdtasdt0(X6,X9)
& aScalar0(X11) )
& X10 = sdtasdt0(X4,X8)
& aScalar0(X10) )
& X9 = sdtasdt0(X2,X3)
& aScalar0(X9) )
& X8 = sdtasdt0(X3,X3)
& aScalar0(X8) )
& X7 = sdtasdt0(X2,X2)
& aScalar0(X7) )
& X6 = sdtasasdt0(X0,X1)
& aScalar0(X6) )
& X5 = sdtasasdt0(X1,X1)
& aScalar0(X5) )
& X4 = sdtasasdt0(X0,X0)
& aScalar0(X4) )
& X3 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(X3) )
& X2 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(X2) )
& X1 = sziznziztdt0(xt)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& X0 = sziznziztdt0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& X13 = sdtasdt0(X10,X12)
& aScalar0(X13) )
& X12 = sdtasdt0(X7,X5)
& aScalar0(X12) )
& X11 = sdtasdt0(X6,X9)
& aScalar0(X11) )
& X10 = sdtasdt0(X4,X8)
& aScalar0(X10) )
& X9 = sdtasdt0(X2,X3)
& aScalar0(X9) )
& X8 = sdtasdt0(X3,X3)
& aScalar0(X8) )
& X7 = sdtasdt0(X2,X2)
& aScalar0(X7) )
& X6 = sdtasasdt0(X0,X1)
& aScalar0(X6) )
& X5 = sdtasasdt0(X1,X1)
& aScalar0(X5) )
& X4 = sdtasasdt0(X0,X0)
& aScalar0(X4) )
& X3 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(X3) )
& X2 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(X2) )
& X1 = sziznziztdt0(xt)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& X0 = sziznziztdt0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
~ ( ( aDimensionOf0(xs) != sz00
=> ? [X0] :
( ? [X2] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtasdt0(X12,X14) = X15
& aScalar0(X15) )
& sdtasdt0(X9,X7) = X14
& aScalar0(X14) )
& sdtasdt0(X8,X11) = X13
& aScalar0(X13) )
& sdtasdt0(X6,X10) = X12
& aScalar0(X12) )
& sdtasdt0(X4,X5) = X11
& aScalar0(X11) )
& sdtasdt0(X5,X5) = X10
& aScalar0(X10) )
& sdtasdt0(X4,X4) = X9
& aScalar0(X9) )
& sdtasasdt0(X0,X2) = X8
& aScalar0(X8) )
& sdtasasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X0) = X6
& aScalar0(X6) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& aScalar0(X5) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& aScalar0(X4) )
& sziznziztdt0(xt) = X2
& ! [X3] :
( aNaturalNumber0(X3)
=> sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& aVector0(X2) )
& X0 = sziznziztdt0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(rectify,[],[f42]) ).
fof(f51,plain,
( ( sz00 = aDimensionOf0(xs)
| ? [X0] :
( ? [X2] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( ? [X15] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtasdt0(X12,X14) = X15
& aScalar0(X15) )
& sdtasdt0(X9,X7) = X14
& aScalar0(X14) )
& sdtasdt0(X8,X11) = X13
& aScalar0(X13) )
& sdtasdt0(X6,X10) = X12
& aScalar0(X12) )
& sdtasdt0(X4,X5) = X11
& aScalar0(X11) )
& sdtasdt0(X5,X5) = X10
& aScalar0(X10) )
& sdtasdt0(X4,X4) = X9
& aScalar0(X9) )
& sdtasasdt0(X0,X2) = X8
& aScalar0(X8) )
& sdtasasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X0) = X6
& aScalar0(X6) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& aScalar0(X5) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& aScalar0(X4) )
& sziznziztdt0(xt) = X2
& ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& aVector0(X2) )
& X0 = sziznziztdt0(xs)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& aVector0(X0) ) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(ennf_transformation,[],[f43]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f63,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f64,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(ennf_transformation,[],[f35]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(flattening,[],[f65]) ).
fof(f104,plain,
! [X0] :
( ~ sP4(X0)
| ? [X2] :
( ? [X4] :
( sP3(X0,X2,X4)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& aScalar0(X4) )
& sziznziztdt0(xt) = X2
& ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& aVector0(X2) ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f105,plain,
! [X0] :
( ~ sP4(X0)
| ? [X1] :
( ? [X3] :
( sP3(X0,X1,X3)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X3
& aScalar0(X3) )
& sziznziztdt0(xt) = X1
& ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) ) ),
inference(rectify,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ~ sP4(X0)
| ( sP3(X0,sK5(X0),sK6(X0))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK6(X0)
& aScalar0(sK6(X0))
& sziznziztdt0(xt) = sK5(X0)
& ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xt,X2) = sdtlbdtrb0(sK5(X0),X2) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK5(X0)))
& aVector0(sK5(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X3,sK6(X0))],[f105]) ).
fof(f107,plain,
! [X0,X2,X4] :
( ~ sP3(X0,X2,X4)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( sP2(X2,X0,X4,X5,X7,X6)
& sdtasasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X0) = X6
& aScalar0(X6) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& aScalar0(X5) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ sP3(X0,X1,X2)
| ? [X3] :
( ? [X4] :
( ? [X5] :
( sP2(X1,X0,X2,X3,X5,X4)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) ) ),
inference(rectify,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ sP3(X0,X1,X2)
| ( sP2(X1,X0,X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2))
& sdtasasdt0(X1,X1) = sK9(X0,X1,X2)
& aScalar0(sK9(X0,X1,X2))
& sdtasasdt0(X0,X0) = sK8(X0,X1,X2)
& aScalar0(sK8(X0,X1,X2))
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK7(X0,X1,X2)
& aScalar0(sK7(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2)),skolemize(X5,sK9(X0,X1,X2))],[f108]) ).
fof(f110,plain,
! [X2,X0,X4,X5,X7,X6] :
( ~ sP2(X2,X0,X4,X5,X7,X6)
| ? [X8] :
( ? [X9] :
( ? [X10] :
( sP1(X5,X4,X10,X6,X8,X9,X7)
& sdtasdt0(X5,X5) = X10
& aScalar0(X10) )
& sdtasdt0(X4,X4) = X9
& aScalar0(X9) )
& sdtasasdt0(X0,X2) = X8
& aScalar0(X8) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| ? [X6] :
( ? [X7] :
( ? [X8] :
( sP1(X3,X2,X8,X5,X6,X7,X4)
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X1,X0) = X6
& aScalar0(X6) ) ),
inference(rectify,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| ( sP1(X3,X2,sK12(X0,X1,X2,X3,X4,X5),X5,sK10(X0,X1,X2,X3,X4,X5),sK11(X0,X1,X2,X3,X4,X5),X4)
& sdtasdt0(X3,X3) = sK12(X0,X1,X2,X3,X4,X5)
& aScalar0(sK12(X0,X1,X2,X3,X4,X5))
& sdtasdt0(X2,X2) = sK11(X0,X1,X2,X3,X4,X5)
& aScalar0(sK11(X0,X1,X2,X3,X4,X5))
& sdtasasdt0(X1,X0) = sK10(X0,X1,X2,X3,X4,X5)
& aScalar0(sK10(X0,X1,X2,X3,X4,X5)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X6,sK10(X0,X1,X2,X3,X4,X5)),skolemize(X7,sK11(X0,X1,X2,X3,X4,X5)),skolemize(X8,sK12(X0,X1,X2,X3,X4,X5))],[f111]) ).
fof(f113,plain,
! [X5,X4,X10,X6,X8,X9,X7] :
( ~ sP1(X5,X4,X10,X6,X8,X9,X7)
| ? [X11] :
( ? [X12] :
( ? [X13] :
( sP0(X7,X9,X12,X6,X8,X13,X10,X11)
& sdtasdt0(X8,X11) = X13
& aScalar0(X13) )
& sdtasdt0(X6,X10) = X12
& aScalar0(X12) )
& sdtasdt0(X4,X5) = X11
& aScalar0(X11) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6)
| ? [X7] :
( ? [X8] :
( ? [X9] :
( sP0(X6,X5,X8,X3,X4,X9,X2,X7)
& sdtasdt0(X4,X7) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X2) = X8
& aScalar0(X8) )
& sdtasdt0(X1,X0) = X7
& aScalar0(X7) ) ),
inference(rectify,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6)
| ( sP0(X6,X5,sK14(X0,X1,X2,X3,X4,X5,X6),X3,X4,sK15(X0,X1,X2,X3,X4,X5,X6),X2,sK13(X0,X1,X2,X3,X4,X5,X6))
& sK15(X0,X1,X2,X3,X4,X5,X6) = sdtasdt0(X4,sK13(X0,X1,X2,X3,X4,X5,X6))
& aScalar0(sK15(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X3,X2) = sK14(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK14(X0,X1,X2,X3,X4,X5,X6))
& sdtasdt0(X1,X0) = sK13(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK13(X0,X1,X2,X3,X4,X5,X6)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X7,sK13(X0,X1,X2,X3,X4,X5,X6)),skolemize(X8,sK14(X0,X1,X2,X3,X4,X5,X6)),skolemize(X9,sK15(X0,X1,X2,X3,X4,X5,X6))],[f114]) ).
fof(f119,plain,
( ( sz00 = aDimensionOf0(xs)
| ( sP4(sK18)
& sziznziztdt0(xs) = sK18
& ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK18,X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK18))
& aVector0(sK18) ) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f103]) ).
fof(f125,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f126,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f128,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f129,plain,
! [X0] :
( ~ sP4(X0)
| sP3(X0,sK5(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| sP2(X1,X0,X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5)
| sP1(X3,X2,sK12(X0,X1,X2,X3,X4,X5),X5,sK10(X0,X1,X2,X3,X4,X5),sK11(X0,X1,X2,X3,X4,X5),X4) ),
inference(cnf_transformation,[],[f112]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6)
| sP0(X6,X5,sK14(X0,X1,X2,X3,X4,X5,X6),X3,X4,sK15(X0,X1,X2,X3,X4,X5,X6),X2,sK13(X0,X1,X2,X3,X4,X5,X6)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f165,plain,
( sz00 = aDimensionOf0(xs)
| sP4(sK18) ),
inference(cnf_transformation,[],[f119]) ).
fof(f170,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f119]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f178,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f209,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
aVector0(xs),
inference(cnf_transformation,[],[f126]) ).
tcf(c_50,plain,
aVector0(xt),
inference(cnf_transformation,[],[f125]) ).
tcf(c_52,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f128]) ).
tcf(c_59,plain,
! [X0: $i] :
( sP3(X0,sK5(X0),sK6(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X1,X0,X2,sK7(X0,X1,X2),sK9(X0,X1,X2),sK8(X0,X1,X2))
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP1(X3,X2,sK12(X0,X1,X2,X3,X4,X5),X5,sK10(X0,X1,X2,X3,X4,X5),sK11(X0,X1,X2,X3,X4,X5),X4)
| ~ sP2(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP0(X6,X5,sK14(X0,X1,X2,X3,X4,X5,X6),X3,X4,sK15(X0,X1,X2,X3,X4,X5,X6),X2,sK13(X0,X1,X2,X3,X4,X5,X6))
| ~ sP1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_89,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f170]) ).
tcf(c_94,negated_conjecture,
( sP4(sK18)
| ( aDimensionOf0(xs) = sz00 ) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_133,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f209]) ).
fof(f98,definition,
! [X7,X9,X12,X6,X8,X13,X10,X11] :
( ~ sP0(X7,X9,X12,X6,X8,X13,X10,X11)
| ? [X14] :
( ? [X15] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtasdt0(X12,X14) = X15
& aScalar0(X15) )
& sdtasdt0(X9,X7) = X14
& aScalar0(X14) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f99,definition,
! [X5,X4,X10,X6,X8,X9,X7] :
( ~ sP1(X5,X4,X10,X6,X8,X9,X7)
| ? [X11] :
( ? [X12] :
( ? [X13] :
( sP0(X7,X9,X12,X6,X8,X13,X10,X11)
& sdtasdt0(X8,X11) = X13
& aScalar0(X13) )
& sdtasdt0(X6,X10) = X12
& aScalar0(X12) )
& sdtasdt0(X4,X5) = X11
& aScalar0(X11) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f100,definition,
! [X2,X0,X4,X5,X7,X6] :
( ~ sP2(X2,X0,X4,X5,X7,X6)
| ? [X8] :
( ? [X9] :
( ? [X10] :
( sP1(X5,X4,X10,X6,X8,X9,X7)
& sdtasdt0(X5,X5) = X10
& aScalar0(X10) )
& sdtasdt0(X4,X4) = X9
& aScalar0(X9) )
& sdtasasdt0(X0,X2) = X8
& aScalar0(X8) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f101,definition,
! [X0,X2,X4] :
( ~ sP3(X0,X2,X4)
| ? [X5] :
( ? [X6] :
( ? [X7] :
( sP2(X2,X0,X4,X5,X7,X6)
& sdtasasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X0) = X6
& aScalar0(X6) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X5
& aScalar0(X5) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f102,definition,
! [X0] :
( ~ sP4(X0)
| ? [X2] :
( ? [X4] :
( sP3(X0,X2,X4)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X4
& aScalar0(X4) )
& sziznziztdt0(xt) = X2
& ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(X2))
& aVector0(X2) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f103,plain,
( ( sz00 = aDimensionOf0(xs)
| ? [X0] :
( sP4(X0)
& X0 = sziznziztdt0(xs)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(X0)) = aDimensionOf0(xs)
& aVector0(X0) ) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(definition_folding,[],[f51,f102,f101,f100,f99,f98]) ).
fof(f116,plain,
! [X7,X9,X12,X6,X8,X13,X10,X11] :
( ~ sP0(X7,X9,X12,X6,X8,X13,X10,X11)
| ? [X14] :
( ? [X15] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X8,X11),sdtpldt0(X8,X11)),sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X7,X10)))
& sdtlseqdt0(sdtpldt0(X13,X13),sdtpldt0(X12,X14))
& sdtlseqdt0(sdtasdt0(X8,X8),sdtasdt0(X6,X7))
& sdtasdt0(X12,X14) = X15
& aScalar0(X15) )
& sdtasdt0(X9,X7) = X14
& aScalar0(X14) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7)
| ? [X8] :
( ? [X9] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X4,X7)),sdtasdt0(sdtpldt0(X3,X1),sdtpldt0(X0,X6)))
& sdtlseqdt0(sdtpldt0(X5,X5),sdtpldt0(X2,X8))
& sdtlseqdt0(sdtasdt0(X4,X4),sdtasdt0(X3,X0))
& sdtasdt0(X2,X8) = X9
& aScalar0(X9) )
& sdtasdt0(X1,X0) = X8
& aScalar0(X8) ) ),
inference(rectify,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7)
| ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X4,X7)),sdtasdt0(sdtpldt0(X3,X1),sdtpldt0(X0,X6)))
& sdtlseqdt0(sdtpldt0(X5,X5),sdtpldt0(X2,sK16(X0,X1,X2,X3,X4,X5,X6,X7)))
& sdtlseqdt0(sdtasdt0(X4,X4),sdtasdt0(X3,X0))
& sK17(X0,X1,X2,X3,X4,X5,X6,X7) = sdtasdt0(X2,sK16(X0,X1,X2,X3,X4,X5,X6,X7))
& aScalar0(sK17(X0,X1,X2,X3,X4,X5,X6,X7))
& sdtasdt0(X1,X0) = sK16(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK16(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X8,sK16(X0,X1,X2,X3,X4,X5,X6,X7)),skolemize(X9,sK17(X0,X1,X2,X3,X4,X5,X6,X7))],[f117]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(cnf_transformation,[],[f118]) ).
fof(f161,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7)
| sK17(X0,X1,X2,X3,X4,X5,X6,X7) = sdtasdt0(X2,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( sdtasdt0(X2,sK16(X0,X1,X2,X3,X4,X5,X6,X7)) = sK17(X0,X1,X2,X3,X4,X5,X6,X7) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7),
inference(global_subsumption_just,[status(thm)],[c_84,c_89,c_88]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ~ sP1(X0,X1,X2,X3,X4,X5,X6),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_221]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ~ sP2(X0,X1,X2,X3,X4,X5),
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_235]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i,X2: $i] : ~ sP3(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_239]) ).
tcf(c_247,plain,
! [X0: $i] : ~ sP4(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_243]) ).
tcf(c_251,plain,
aDimensionOf0(xs) = sz00,
inference(backward_subsumption_resolution,[status(thm)],[c_94,c_247]) ).
tcf(c_574,plain,
aDimensionOf0(xt) = sz00,
inference(light_normalisation,[status(thm)],[c_52,c_251]) ).
tcf(c_2494,plain,
! [X0: $i] :
( ( sdtasasdt0(xs,X0) = sz0z00 )
| ~ aVector0(xs)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_251,c_103]) ).
tcf(c_2495,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(superposition,[status(thm)],[c_574,c_103]) ).
tcf(c_2502,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2495,c_50]) ).
tcf(c_2506,plain,
! [X0: $i] :
( ( sdtasasdt0(xs,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2494,c_49]) ).
tcf(c_2588,plain,
( ( sdtasasdt0(xs,xs) = sz0z00 )
| ~ aVector0(xs) ),
inference(superposition,[status(thm)],[c_251,c_2506]) ).
tcf(c_2589,plain,
( ( sdtasasdt0(xs,xt) = sz0z00 )
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_574,c_2506]) ).
tcf(c_2590,plain,
sdtasasdt0(xs,xt) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_2589,c_50]) ).
tcf(c_2591,plain,
sdtasasdt0(xs,xs) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_2588,c_49]) ).
tcf(c_2593,plain,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(demodulation,[status(thm)],[c_89,c_2590]) ).
tcf(c_2603,plain,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sdtasasdt0(xt,xt))),
inference(light_normalisation,[status(thm)],[c_2593,c_2591]) ).
tcf(c_2604,plain,
( sdtlseqdt0(sdtasdt0(sz0z00,sdtasasdt0(xt,xt)),sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(sdtasdt0(sz0z00,sdtasasdt0(xt,xt))) ),
inference(superposition,[status(thm)],[c_98,c_2603]) ).
tcf(c_2772,plain,
( ( sdtasasdt0(xt,xt) = sz0z00 )
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_574,c_2502]) ).
tcf(c_2773,plain,
sdtasasdt0(xt,xt) = sz0z00,
inference(forward_subsumption_resolution,[status(thm)],[c_2772,c_50]) ).
tcf(c_2775,plain,
( sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(sdtasdt0(sz0z00,sz0z00)) ),
inference(demodulation,[status(thm)],[c_2604,c_2773]) ).
tcf(c_2776,plain,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sz0z00,sz0z00)),
inference(demodulation,[status(thm)],[c_2603,c_2773]) ).
tcf(c_2782,plain,
~ aScalar0(sdtasdt0(sz0z00,sz0z00)),
inference(forward_subsumption_resolution,[status(thm)],[c_2775,c_2776]) ).
tcf(c_2787,plain,
~ aScalar0(sz0z00),
inference(superposition,[status(thm)],[c_102,c_2782]) ).
tcf(c_2788,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2787,c_133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG081+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.59 % Computer : n003.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Thu Sep 24 08:10:11 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.11/5.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.63 Running first-order theorem proving
% 0.15/5.63 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.64
% 0.15/5.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.64
% 0.15/5.64 % Detected problem language: tptp
% 0.15/5.65 % Proving...
% 3.85/6.51 % SZS status Started for theBenchmark.p
% 3.85/6.51 % SZS status Theorem for theBenchmark.p
% 3.85/6.51
% 3.85/6.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.85/6.51
% 3.85/6.51 % ------ iProver source info
% 3.85/6.51
% 3.85/6.51 % git: date: 2026-07-19 20:42:38 +0200
% 3.85/6.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.85/6.51 % git: non_committed_changes: false
% 3.85/6.51
% 3.85/6.51 % ------ Parsing...
% 3.85/6.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.85/6.51
% 3.85/6.51 % ------ Preprocessing... sup_sim: 2 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.85/6.51
% 3.85/6.51 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.85/6.51
% 3.85/6.51 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 3.85/6.51 % ------ Proving...
% 3.85/6.51 % ------ Problem Properties
% 3.85/6.51
% 3.85/6.51 %
% 3.85/6.51 % clauses 47
% 3.85/6.51 % conjectures 1
% 3.85/6.51 % EPR 11
% 3.85/6.51 % Horn 35
% 3.85/6.51 % unary 7
% 3.85/6.51 % binary 9
% 3.85/6.51 % lits 165
% 3.85/6.51 % lits eq 42
% 3.85/6.51 % fd_pure 0
% 3.85/6.51 % fd_pseudo 0
% 3.85/6.51 % fd_cond 1
% 3.85/6.51 % fd_pseudo_cond 5
% 3.85/6.51 % AC symbols 0
% 3.85/6.51
% 3.85/6.51 % ------ Schedule dynamic 5 is on
% 3.85/6.51
% 3.85/6.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/6.51
% 3.85/6.51
% 3.85/6.51 % ------
% 3.85/6.51 % Current options:
% 3.85/6.51 % ------
% 3.85/6.51
% 3.85/6.51
% 3.85/6.51 %
% 3.85/6.51
% 3.85/6.51 % ------ Proving...
% 3.85/6.51 %
% 3.85/6.51
% 3.85/6.51 % SZS status Theorem for theBenchmark.p
% 3.85/6.51
% 3.85/6.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/6.51
% 3.85/6.51
%------------------------------------------------------------------------------