%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM498+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 02:25:20 PM UTC 2026
% Result : Theorem 6.89s 1.72s
% Output : CNFRefutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 96 ( 30 unt; 0 def)
% Number of atoms : 331 ( 151 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 371 ( 136 ~; 129 |; 92 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 74 !; 21 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( xp = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xp
| X0 = sz10 ) )
& xp != sz10
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& ? [X0] :
( sdtpldt0(xm,X0) = xp
& aNaturalNumber0(X0) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X0] :
( sdtpldt0(xn,X0) = xp
& aNaturalNumber0(X0) )
& xn != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f46,conjecture,
( ( xk = sz10
| xk = sz00 )
=> ( doDivides0(xp,xm)
| ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| doDivides0(xp,xn)
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
~ ( ( xk = sz10
| xk = sz00 )
=> ( doDivides0(xp,xm)
| ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| doDivides0(xp,xn)
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f51,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( xp = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xp
| X0 = sz10 ) )
& xp != sz10
& xp != sz00 ),
inference(rectify,[],[f41]) ).
fof(f52,plain,
( sdtlseqdt0(xm,xp)
& ? [X1] :
( xp = sdtpldt0(xm,X1)
& aNaturalNumber0(X1) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X0] :
( sdtpldt0(xn,X0) = xp
& aNaturalNumber0(X0) )
& xn != xp ),
inference(rectify,[],[f44]) ).
fof(f53,plain,
~ ( ( xk = sz10
| xk = sz00 )
=> ( doDivides0(xp,xm)
| ? [X1] :
( xm = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
| doDivides0(xp,xn)
| ? [X0] :
( xn = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ),
inference(rectify,[],[f47]) ).
fof(f56,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f56]) ).
fof(f67,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f68,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f77]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f100]) ).
fof(f120,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(ennf_transformation,[],[f51]) ).
fof(f121,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
( ( xk = sz10
| xk = sz00 )
& ~ doDivides0(xp,xm)
& ! [X1] :
( xm != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) )
& ~ doDivides0(xp,xn)
& ! [X0] :
( xn != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f125,plain,
( ( xk = sz10
| xk = sz00 )
& ~ doDivides0(xp,xm)
& ! [X1] :
( xm != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) )
& ~ doDivides0(xp,xn)
& ! [X0] :
( xn != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(flattening,[],[f124]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(rectify,[],[f134]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1))],[f135]) ).
fof(f152,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
& aNaturalNumber0(sK10)
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10)],[f121]) ).
fof(f153,plain,
( sdtlseqdt0(xm,xp)
& xp = sdtpldt0(xm,sK12)
& aNaturalNumber0(sK12)
& xm != xp
& sdtlseqdt0(xn,xp)
& xp = sdtpldt0(xn,sK11)
& aNaturalNumber0(sK11)
& xn != xp ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f52]) ).
fof(f154,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f165,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f166,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f67]) ).
fof(f168,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f68]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f222,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f223,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f224,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f242,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
inference(cnf_transformation,[],[f152]) ).
fof(f243,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f152]) ).
fof(f245,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f260,plain,
xn != xp,
inference(cnf_transformation,[],[f153]) ).
fof(f262,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f264,plain,
( sz10 = xk
| sz00 = xk ),
inference(cnf_transformation,[],[f125]) ).
fof(f266,plain,
! [X1] :
( xm != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f268,plain,
! [X0] :
( xn != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f275,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f203]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f154]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_116,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f224]) ).
tcf(c_117,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f223]) ).
tcf(c_118,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f222]) ).
tcf(c_138,plain,
! [X0: $i] :
( ( X0 = xp )
| ( X0 = sz10 )
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_140,plain,
aNaturalNumber0(sK10),
inference(cnf_transformation,[],[f243]) ).
tcf(c_141,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
inference(cnf_transformation,[],[f242]) ).
tcf(c_147,plain,
xn != xp,
inference(cnf_transformation,[],[f260]) ).
tcf(c_156,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f262]) ).
tcf(c_158,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xn ) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_160,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_162,negated_conjecture,
( ( sz10 = xk )
| ( sz00 = xk ) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_53,c_95]) ).
tcf(c_1020,plain,
sdtasdt0(xp,sK10) = sdtasdt0(xp,xk),
inference(light_normalisation,[status(thm)],[c_141,c_156]) ).
tcf(c_8881,negated_conjecture,
( ( sz10 = xk )
| ( sz00 = xk ) ),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_8883,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xm ) ),
inference(demodulation,[status(thm)],[c_160]) ).
tcf(c_8885,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xp,X0) != xn ) ),
inference(demodulation,[status(thm)],[c_158]) ).
tcf(c_10561,plain,
( ~ aNaturalNumber0(sK10)
| ( sdtasdt0(xp,xk) != xm ) ),
inference(superposition,[status(thm)],[c_1020,c_8883]) ).
tcf(c_10562,plain,
sdtasdt0(xp,xk) != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_10561,c_140]) ).
tcf(c_10609,plain,
( doDivides0(xn,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_156,c_232]) ).
tcf(c_10610,plain,
doDivides0(xn,sdtasdt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_10609,c_117,c_116]) ).
tcf(c_10653,plain,
sdtasdt0(xp,sz10) = xp,
inference(superposition,[status(thm)],[c_118,c_60]) ).
tcf(c_10670,plain,
( doDivides0(xn,sdtasdt0(xp,sz10))
| ( sz00 = xk ) ),
inference(superposition,[status(thm)],[c_8881,c_10610]) ).
tcf(c_10671,plain,
( doDivides0(xn,xp)
| ( sz00 = xk ) ),
inference(light_normalisation,[status(thm)],[c_10670,c_10653]) ).
tcf(c_10694,plain,
sdtasdt0(sz10,xm) = xm,
inference(superposition,[status(thm)],[c_117,c_61]) ).
tcf(c_10712,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_118,c_62]) ).
tcf(c_11564,plain,
( ~ aNaturalNumber0(sz00)
| ( sz00 != xn ) ),
inference(superposition,[status(thm)],[c_10712,c_8885]) ).
tcf(c_11565,plain,
( ~ aNaturalNumber0(sz00)
| ( sz00 != xm ) ),
inference(superposition,[status(thm)],[c_10712,c_8883]) ).
tcf(c_11566,plain,
sz00 != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_11565,c_49]) ).
tcf(c_11567,plain,
sz00 != xn,
inference(forward_subsumption_resolution,[status(thm)],[c_11564,c_49]) ).
tcf(c_11828,plain,
( ( xn = xp )
| ( sz10 = xn )
| ( sz00 = xk )
| ~ aNaturalNumber0(xn) ),
inference(superposition,[status(thm)],[c_10671,c_138]) ).
tcf(c_11830,plain,
( ( sz10 = xn )
| ( sz00 = xk ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11828,c_147,c_116]) ).
tcf(c_14380,plain,
( ( sz00 = xm )
| ( sz00 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ( sdtasdt0(xp,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_156,c_72]) ).
tcf(c_14422,plain,
sdtasdt0(xp,xk) != sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_14380,c_11566,c_11567,c_117,c_116]) ).
tcf(c_14548,plain,
( ( sz10 = xn )
| ( sdtasdt0(xp,sz00) != sz00 ) ),
inference(superposition,[status(thm)],[c_11830,c_14422]) ).
tcf(c_14551,plain,
sz10 = xn,
inference(ground_joinability,[status(thm)],[c_14548,c_10712]) ).
tcf(c_14582,plain,
sdtasdt0(sz10,xm) = sdtasdt0(xp,xk),
inference(demodulation,[status(thm)],[c_156,c_14551]) ).
tcf(c_14593,plain,
sdtasdt0(xp,xk) = xm,
inference(light_normalisation,[status(thm)],[c_14582,c_10694]) ).
tcf(c_14594,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14593,c_10562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM498+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 04:19:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 6.89/1.72 % SZS status Started for theBenchmark.p
% 6.89/1.72 % SZS status Theorem for theBenchmark.p
% 6.89/1.72
% 6.89/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.89/1.72
% 6.89/1.72 % ------ iProver source info
% 6.89/1.72
% 6.89/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 6.89/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.89/1.72 % git: non_committed_changes: false
% 6.89/1.72
% 6.89/1.72 % ------ Parsing...
% 6.89/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.89/1.72
% 6.89/1.72 % ------ Preprocessing... sup_sim: 3 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 6.89/1.72
% 6.89/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.89/1.72
% 6.89/1.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.89/1.72 % ------ Proving...
% 6.89/1.72 % ------ Problem Properties
% 6.89/1.72
% 6.89/1.72 %
% 6.89/1.72 % clauses 109
% 6.89/1.72 % conjectures 5
% 6.89/1.72 % EPR 36
% 6.89/1.72 % Horn 70
% 6.89/1.72 % unary 29
% 6.89/1.72 % binary 16
% 6.89/1.72 % lits 376
% 6.89/1.72 % lits eq 112
% 6.89/1.72 % fd_pure 0
% 6.89/1.72 % fd_pseudo 0
% 6.89/1.72 % fd_cond 22
% 6.89/1.72 % fd_pseudo_cond 11
% 6.89/1.72 % AC symbols 0
% 6.89/1.72
% 6.89/1.72 % ------ Schedule dynamic 5 is on
% 6.89/1.72
% 6.89/1.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.89/1.72
% 6.89/1.72
% 6.89/1.72 % ------
% 6.89/1.72 % Current options:
% 6.89/1.72 % ------
% 6.89/1.72
% 6.89/1.72
% 6.89/1.72 %
% 6.89/1.72
% 6.89/1.72 % ------ Proving...
% 6.89/1.72 %
% 6.89/1.72
% 6.89/1.72 % SZS status Theorem for theBenchmark.p
% 6.89/1.72
% 6.89/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.89/1.73
% 6.89/1.73
%------------------------------------------------------------------------------