%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG049+1 : 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 : n005.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 02:38:19 PM UTC 2026
% Result : Theorem 1.15s 6.36s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 25 unt; 1 def)
% Number of atoms : 240 ( 70 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 273 ( 114 ~; 112 |; 33 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 78 !; 3 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
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/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f37,axiom,
aVector0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).
fof(f39,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542_01) ).
fof(f40,axiom,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1568) ).
fof(f41,axiom,
( sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
& sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1590) ).
fof(f42,conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f49,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(flattening,[],[f43]) ).
fof(f50,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f58]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(flattening,[],[f83]) ).
fof(f88,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f92,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(flattening,[],[f91]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f96,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(flattening,[],[f95]) ).
fof(f104,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f105,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f106]) ).
fof(f110,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f144,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f147,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f148,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f150,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aVector0(X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f155,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f158,plain,
aVector0(xs),
inference(cnf_transformation,[],[f37]) ).
fof(f160,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f39]) ).
fof(f161,plain,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(cnf_transformation,[],[f40]) ).
fof(f162,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(cnf_transformation,[],[f41]) ).
fof(f163,plain,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
inference(cnf_transformation,[],[f41]) ).
fof(f164,plain,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(sziznziztdt0(X0)) ),
inference(equality_resolution,[],[f151]) ).
fof(f166,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f150]) ).
tcf(c_50,plain,
! [X0: $i] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_88,plain,
! [X0: $i] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtlbdtrb0(X1,X0))
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_92,plain,
! [X0: $i] :
( aVector0(sziznziztdt0(X0))
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_93,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_99,plain,
aVector0(xs),
inference(cnf_transformation,[],[f158]) ).
tcf(c_101,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[],[f160]) ).
tcf(c_102,plain,
sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs),
inference(cnf_transformation,[],[f161]) ).
tcf(c_103,plain,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
inference(cnf_transformation,[],[f163]) ).
tcf(c_104,plain,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
inference(cnf_transformation,[],[f162]) ).
tcf(c_105,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(cnf_transformation,[],[f164]) ).
tcf(c_1631,definition,
iPr_def_13 = sdtasasdt0(xs,xs),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1632,negated_conjecture,
~ sdtlseqdt0(sz0z00,iPr_def_13),
inference(demodulation,[status(thm)],[c_105,c_1631]) ).
tcf(c_2626,plain,
sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_102,c_1631]) ).
tcf(c_3116,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xs) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_3118,plain,
( aVector0(sziznziztdt0(xs))
| ( aDimensionOf0(xs) = sz00 )
| ~ aVector0(xs) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_3126,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_99,c_93]) ).
tcf(c_3127,plain,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3126,c_101]) ).
tcf(c_3139,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(superposition,[status(thm)],[c_3127,c_50]) ).
tcf(c_3144,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(global_subsumption_just,[status(thm)],[c_3139,c_99,c_3116]) ).
tcf(c_3420,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_96]) ).
tcf(c_3475,plain,
( sdtlseqdt0(sz0z00,iPr_def_13)
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(superposition,[status(thm)],[c_2626,c_84]) ).
tcf(c_3486,plain,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3475,c_1632,c_103,c_104]) ).
tcf(c_3708,plain,
( ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs)))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
inference(superposition,[status(thm)],[c_58,c_3486]) ).
tcf(c_3715,plain,
( ~ aVector0(sziznziztdt0(xs))
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))) ),
inference(superposition,[status(thm)],[c_3420,c_3708]) ).
tcf(c_3718,plain,
~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))),
inference(global_subsumption_just,[status(thm)],[c_3715,c_99,c_101,c_3118,c_3715]) ).
tcf(c_3720,plain,
( ~ aVector0(xs)
| ~ aNaturalNumber0(aDimensionOf0(xs)) ),
inference(superposition,[status(thm)],[c_89,c_3718]) ).
tcf(c_3721,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3720,c_99,c_3144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG049+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n005.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Thu Sep 24 07:57:38 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.45 Running first-order theorem proving
% 0.16/5.45 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
% 0.16/5.46
% 0.16/5.46 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.46
% 0.16/5.46 % Detected problem language: tptp
% 0.16/5.48 % Proving...
% 1.15/6.36 % SZS status Started for theBenchmark.p
% 1.15/6.36 % SZS status Theorem for theBenchmark.p
% 1.15/6.36
% 1.15/6.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/6.36
% 1.15/6.36 % ------ iProver source info
% 1.15/6.36
% 1.15/6.36 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/6.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/6.36 % git: non_committed_changes: false
% 1.15/6.36
% 1.15/6.36 % ------ Parsing...
% 1.15/6.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.15/6.36
% 1.15/6.36 % ------ 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 %
% 1.15/6.36
% 1.15/6.36 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.15/6.36
% 1.15/6.36 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 1.15/6.36 % ------ Proving...
% 1.15/6.36 % ------ Problem Properties
% 1.15/6.36
% 1.15/6.36 %
% 1.15/6.36 % clauses 60
% 1.15/6.36 % conjectures 1
% 1.15/6.36 % EPR 11
% 1.15/6.36 % Horn 48
% 1.15/6.36 % unary 10
% 1.15/6.36 % binary 16
% 1.15/6.36 % lits 189
% 1.15/6.36 % lits eq 53
% 1.15/6.36 % fd_pure 0
% 1.15/6.36 % fd_pseudo 0
% 1.15/6.36 % fd_cond 1
% 1.15/6.36 % fd_pseudo_cond 5
% 1.15/6.36 % AC symbols 0
% 1.15/6.36
% 1.15/6.36 % ------ Schedule dynamic 5 is on
% 1.15/6.36
% 1.15/6.36 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.15/6.36
% 1.15/6.36
% 1.15/6.36 % ------
% 1.15/6.36 % Current options:
% 1.15/6.36 % ------
% 1.15/6.36
% 1.15/6.36
% 1.15/6.36 %
% 1.15/6.36
% 1.15/6.36 % ------ Proving...
% 1.15/6.36 %
% 1.15/6.36
% 1.15/6.36 % SZS status Theorem for theBenchmark.p
% 1.15/6.36
% 1.15/6.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/6.36
% 1.15/6.36
%------------------------------------------------------------------------------