TSTP Solution File: NUM518+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM518+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 11:31:06 EDT 2023
% Result : Theorem 31.62s 5.24s
% Output : CNFRefutation 31.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 100 ( 31 unt; 0 def)
% Number of atoms : 373 ( 123 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 462 ( 189 ~; 191 |; 64 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn; 72 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sz00 != X1
& doDivides0(X0,X1) )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& xm != xp
& sdtlseqdt0(xn,xp)
& xn != xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn != sdtsldt0(xn,xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
fof(f55,axiom,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2645) ).
fof(f56,conjecture,
( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( doDivides0(xp,xm)
| doDivides0(xp,xn) ),
inference(negated_conjecture,[],[f56]) ).
fof(f74,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f90,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f91,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f92]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f108]) ).
fof(f116,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f117,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f116]) ).
fof(f120,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f121,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f120]) ).
fof(f127,plain,
( ~ doDivides0(xp,xm)
& ~ doDivides0(xp,xn) ),
inference(ennf_transformation,[],[f57]) ).
fof(f138,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f141,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ( ( isPrime0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f142,f143]) ).
fof(f147,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f178,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f179,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f197,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f198,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f203,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sz00 = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f205,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f215,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f217,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f224,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f232,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f234,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f240,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f241,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f53]) ).
fof(f242,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f53]) ).
fof(f244,plain,
( doDivides0(xp,xm)
| doDivides0(xp,sdtsldt0(xn,xr)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f246,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f127]) ).
fof(f255,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f198]) ).
fof(f256,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f197]) ).
fof(f258,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f205]) ).
cnf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f147]) ).
cnf(c_63,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sz00 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_81,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_99,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| X0 = sz00 ),
inference(cnf_transformation,[],[f255]) ).
cnf(c_100,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = sz00
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(cnf_transformation,[],[f256]) ).
cnf(c_104,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X1 = sz00
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_112,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(cnf_transformation,[],[f258]) ).
cnf(c_116,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f217]) ).
cnf(c_118,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f215]) ).
cnf(c_126,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f224]) ).
cnf(c_133,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f234]) ).
cnf(c_135,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f232]) ).
cnf(c_141,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f240]) ).
cnf(c_142,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f242]) ).
cnf(c_143,plain,
sdtsldt0(xn,xr) != xn,
inference(cnf_transformation,[],[f241]) ).
cnf(c_145,plain,
( doDivides0(xp,sdtsldt0(xn,xr))
| doDivides0(xp,xm) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_146,negated_conjecture,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f246]) ).
cnf(c_191,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(prop_impl_just,[status(thm)],[c_49,c_112]) ).
cnf(c_653,plain,
( sz00 != xr
| ~ aNaturalNumber0(sz00) ),
inference(resolution_lifted,[status(thm)],[c_191,c_133]) ).
cnf(c_1836,plain,
doDivides0(xp,sdtsldt0(xn,xr)),
inference(global_subsumption_just,[status(thm)],[c_145,c_146,c_145]) ).
cnf(c_2512,plain,
doDivides0(xp,sdtsldt0(xn,xr)),
inference(global_subsumption_just,[status(thm)],[c_145,c_146,c_145]) ).
cnf(c_2527,plain,
sdtasdt0(xr,sz00) = sz00,
inference(superposition,[status(thm)],[c_135,c_63]) ).
cnf(c_2546,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| sdtsldt0(xn,xr) = sz00
| sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_1836,c_104]) ).
cnf(c_2551,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sdtsldt0(xn,xr) = sz00
| sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_2546,c_116,c_2546]) ).
cnf(c_3051,plain,
( ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| sdtsldt0(xn,xr) = xn ),
inference(superposition,[status(thm)],[c_142,c_80]) ).
cnf(c_3062,plain,
( ~ sdtlseqdt0(xn,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_3051,c_118,c_143,c_3051]) ).
cnf(c_3574,plain,
( ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_126,c_81]) ).
cnf(c_3587,plain,
( ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xn,X0) ),
inference(global_subsumption_just,[status(thm)],[c_3574,c_118,c_116,c_3574]) ).
cnf(c_3965,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xp)
| sdtsldt0(xn,xr) = sz00
| sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_2512,c_104]) ).
cnf(c_3970,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sdtsldt0(xn,xr) = sz00
| sdtlseqdt0(xp,sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_3965,c_116,c_2546]) ).
cnf(c_4427,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| sdtasdt0(xr,sdtsldt0(xn,xr)) = xn
| sz00 = xr ),
inference(superposition,[status(thm)],[c_141,c_99]) ).
cnf(c_6502,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| sdtasdt0(xr,sdtsldt0(xn,xr)) = xn
| sz00 = xr ),
inference(superposition,[status(thm)],[c_141,c_99]) ).
cnf(c_6505,plain,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(global_subsumption_just,[status(thm)],[c_6502,c_135,c_118,c_49,c_653,c_4427]) ).
cnf(c_32525,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sdtsldt0(xn,xr) = sz00
| sdtlseqdt0(xn,sdtsldt0(xn,xr)) ),
inference(superposition,[status(thm)],[c_2551,c_3587]) ).
cnf(c_32532,plain,
( sdtsldt0(xn,xr) = sz00
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_32525,c_3062,c_32525]) ).
cnf(c_32533,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sdtsldt0(xn,xr) = sz00 ),
inference(renaming,[status(thm)],[c_32532]) ).
cnf(c_35253,plain,
( sdtsldt0(xn,xr) = sz00
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(global_subsumption_just,[status(thm)],[c_3970,c_32533]) ).
cnf(c_35254,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| sdtsldt0(xn,xr) = sz00 ),
inference(renaming,[status(thm)],[c_35253]) ).
cnf(c_35257,plain,
( ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| sdtsldt0(xn,xr) = sz00
| sz00 = xr ),
inference(superposition,[status(thm)],[c_100,c_35254]) ).
cnf(c_35258,plain,
sdtsldt0(xn,xr) = sz00,
inference(global_subsumption_just,[status(thm)],[c_35257,c_135,c_118,c_49,c_141,c_653,c_35257]) ).
cnf(c_35299,plain,
sdtasdt0(xr,sz00) = xn,
inference(demodulation,[status(thm)],[c_6505,c_35258]) ).
cnf(c_35348,plain,
sz00 = xn,
inference(light_normalisation,[status(thm)],[c_35299,c_2527]) ).
cnf(c_35358,plain,
sdtsldt0(xn,xr) = xn,
inference(demodulation,[status(thm)],[c_35258,c_35348]) ).
cnf(c_35359,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_35358,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM518+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.15/0.33 % Computer : n029.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Fri Aug 25 12:24:24 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 31.62/5.24 % SZS status Started for theBenchmark.p
% 31.62/5.24 % SZS status Theorem for theBenchmark.p
% 31.62/5.24
% 31.62/5.24 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 31.62/5.24
% 31.62/5.24 ------ iProver source info
% 31.62/5.24
% 31.62/5.24 git: date: 2023-05-31 18:12:56 +0000
% 31.62/5.24 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 31.62/5.24 git: non_committed_changes: false
% 31.62/5.24 git: last_make_outside_of_git: false
% 31.62/5.24
% 31.62/5.24 ------ Parsing...
% 31.62/5.24 ------ Clausification by vclausify_rel & Parsing by iProver...
% 31.62/5.24
% 31.62/5.24 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 1 0s sf_e pe_s pe_e
% 31.62/5.24
% 31.62/5.24 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 0 0s scvd_e snvd_s sp: 0 0s snvd_e
% 31.62/5.24
% 31.62/5.24 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 31.62/5.24 ------ Proving...
% 31.62/5.24 ------ Problem Properties
% 31.62/5.24
% 31.62/5.24
% 31.62/5.24 clauses 96
% 31.62/5.24 conjectures 2
% 31.62/5.24 EPR 36
% 31.62/5.24 Horn 67
% 31.62/5.24 unary 30
% 31.62/5.24 binary 11
% 31.62/5.24 lits 323
% 31.62/5.25 lits eq 88
% 31.62/5.25 fd_pure 0
% 31.62/5.25 fd_pseudo 0
% 31.62/5.25 fd_cond 15
% 31.62/5.25 fd_pseudo_cond 15
% 31.62/5.25 AC symbols 0
% 31.62/5.25
% 31.62/5.25 ------ Input Options Time Limit: Unbounded
% 31.62/5.25
% 31.62/5.25
% 31.62/5.25 ------
% 31.62/5.25 Current options:
% 31.62/5.25 ------
% 31.62/5.25
% 31.62/5.25
% 31.62/5.25
% 31.62/5.25
% 31.62/5.25 ------ Proving...
% 31.62/5.25
% 31.62/5.25
% 31.62/5.25 % SZS status Theorem for theBenchmark.p
% 31.62/5.25
% 31.62/5.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.62/5.25
% 31.62/5.25
%------------------------------------------------------------------------------