%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM483+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 : n016.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 02:25:11 PM UTC 2026
% Result : Theorem 110.23s 19.91s
% Output : CNFRefutation 110.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 233 ( 36 unt; 0 def)
% Number of atoms : 980 ( 315 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1268 ( 521 ~; 608 |; 100 &)
% ( 9 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 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 : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 307 ( 0 sgn 289 !; 18 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( sz10 != sz00
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X1 = sz00
& X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
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(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,sdtpldt0(X1,X2))
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( X1 != sz00
& 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) )
=> ( X1 = X0
| X1 = sz10 ) )
& X0 != sz10
& X0 != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716) ).
fof(f39,axiom,
! [X0] :
( ( X0 != sz10
& X0 != sz00
& aNaturalNumber0(X0) )
=> ( iLess0(X0,xk)
=> ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1700) ).
fof(f40,axiom,
( xk != sz10
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1716_04) ).
fof(f41,axiom,
~ isPrime0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1725) ).
fof(f42,conjecture,
? [X0] :
( isPrime0(X0)
& doDivides0(X0,xk)
& aNaturalNumber0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ ? [X0] :
( isPrime0(X0)
& doDivides0(X0,xk)
& aNaturalNumber0(X0) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f47,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f50]) ).
fof(f54,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f59,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( X0 = sdtasdt0(sz10,X0)
& sdtasdt0(X0,sz10) = X0 ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f60,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(ennf_transformation,[],[f14]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| X1 = X2 ),
inference(flattening,[],[f63]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| ( X1 = sz00
& X0 = sz00 ) ),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f71]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f77,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f78]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f92]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f96]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f106,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f107,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( isPrime0(X0)
<=> ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) ) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f109,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ? [X1] :
( isPrime0(X1)
& doDivides0(X1,X0)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(rectify,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f112]) ).
fof(f116,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,[],[f93]) ).
fof(f117,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,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f117]) ).
fof(f121,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f122,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X1] :
( ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| X1 = X0
| X1 = sz10 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ? [X1] :
( doDivides0(X1,X0)
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( ( ~ isPrime0(X0)
| ( ! [X2] :
( ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2)
| X0 = X2
| sz10 = X2 )
& X0 != sz10
& X0 != sz00 ) )
& ( ( doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0))
& sK2(X0) != X0
& sz10 != sK2(X0) )
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f123]) ).
fof(f125,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| ( isPrime0(sK3(X0))
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f109]) ).
fof(f126,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f130,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f133,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f137,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f138,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f140,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f60]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f147,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtpldt0(X0,X1)
| sz00 = X1 ),
inference(cnf_transformation,[],[f68]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ doDivides0(X0,X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f187,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f188,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK2(X0))
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f189,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f190,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != sK2(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f191,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f38]) ).
fof(f192,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| isPrime0(sK3(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f193,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| doDivides0(sK3(X0),X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f194,plain,
! [X0] :
( sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| aNaturalNumber0(sK3(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f195,plain,
sz10 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f196,plain,
sz00 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f197,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f41]) ).
fof(f198,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f199,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f152]) ).
fof(f205,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f175]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f126]) ).
tcf(c_50,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f128]) ).
tcf(c_51,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f127]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_57,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtasdt0(sz10,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sdtpldt0(X2,X1) ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| ( X1 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_106,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK2(X0) != sz10 ) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_107,plain,
! [X0: $i] :
( isPrime0(X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sK2(X0) != X0 ) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_108,plain,
! [X0: $i] :
( isPrime0(X0)
| aNaturalNumber0(sK2(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_109,plain,
! [X0: $i] :
( isPrime0(X0)
| doDivides0(sK2(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_113,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f191]) ).
tcf(c_114,plain,
! [X0: $i] :
( aNaturalNumber0(sK3(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_115,plain,
! [X0: $i] :
( doDivides0(sK3(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_116,plain,
! [X0: $i] :
( isPrime0(sK3(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_117,plain,
sz00 != xk,
inference(cnf_transformation,[],[f196]) ).
tcf(c_118,plain,
sz10 != xk,
inference(cnf_transformation,[],[f195]) ).
tcf(c_119,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f197]) ).
tcf(c_120,negated_conjecture,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_125,plain,
( ( sdtpldt0(sz00,sz00) = sz00 )
| ~ aNaturalNumber0(sz00) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_140,plain,
( ( sz00 = sz00 )
| ~ aNaturalNumber0(sz00)
| ( sdtpldt0(sz00,sz00) != sz00 ) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_168,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_171,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_52,c_73]) ).
tcf(c_1220,plain,
! [X0: $i,X1: $i,X2: $i] :
( isPrime0(sK3(X1))
| ( X1 = sz10 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ( X2 != xk )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_116]) ).
tcf(c_1221,plain,
! [X0: $i] :
( isPrime0(sK3(X0))
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(unflattening,[status(thm)],[c_1220]) ).
tcf(c_1223,plain,
! [X0: $i] :
( isPrime0(sK3(X0))
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1221,c_113,c_1221]) ).
tcf(c_1224,plain,
! [X0: $i] :
( isPrime0(sK3(X0))
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(renaming,[status(thm)],[c_1223]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(sK3(X1),X1)
| ( X1 = sz10 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ( X2 != xk )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_115]) ).
tcf(c_1245,plain,
! [X0: $i] :
( doDivides0(sK3(X0),X0)
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(unflattening,[status(thm)],[c_1244]) ).
tcf(c_1247,plain,
! [X0: $i] :
( doDivides0(sK3(X0),X0)
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1245,c_113,c_1245]) ).
tcf(c_1248,plain,
! [X0: $i] :
( doDivides0(sK3(X0),X0)
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(renaming,[status(thm)],[c_1247]) ).
tcf(c_1268,plain,
! [X0: $i,X1: $i,X2: $i] :
( aNaturalNumber0(sK3(X1))
| ( X1 = sz10 )
| ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X2)
| ( X2 != xk )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_114]) ).
tcf(c_1269,plain,
! [X0: $i] :
( aNaturalNumber0(sK3(X0))
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(unflattening,[status(thm)],[c_1268]) ).
tcf(c_1271,plain,
! [X0: $i] :
( aNaturalNumber0(sK3(X0))
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ sdtlseqdt0(X0,xk)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1269,c_113,c_1269]) ).
tcf(c_1272,plain,
! [X0: $i] :
( aNaturalNumber0(sK3(X0))
| ( X0 = xk )
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(renaming,[status(thm)],[c_1271]) ).
tcf(c_1530,plain,
! [X0: $i] :
( doDivides0(sK2(X0),X0)
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( X0 != xk ) ),
inference(resolution_lifted,[status(thm)],[c_109,c_119]) ).
tcf(c_1531,plain,
( doDivides0(sK2(xk),xk)
| ( xk = sz10 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk) ),
inference(unflattening,[status(thm)],[c_1530]) ).
tcf(c_1532,plain,
( doDivides0(sK2(xk),xk)
| ( xk = sz10 )
| ( xk = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_1531,c_113,c_1531]) ).
tcf(c_1543,plain,
! [X0: $i] :
( aNaturalNumber0(sK2(X0))
| ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( X0 != xk ) ),
inference(resolution_lifted,[status(thm)],[c_108,c_119]) ).
tcf(c_1544,plain,
( aNaturalNumber0(sK2(xk))
| ( xk = sz10 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk) ),
inference(unflattening,[status(thm)],[c_1543]) ).
tcf(c_1545,plain,
( aNaturalNumber0(sK2(xk))
| ( xk = sz10 )
| ( xk = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_1544,c_113,c_1544]) ).
tcf(c_1556,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( X0 != xk )
| ( sK2(X0) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_119]) ).
tcf(c_1557,plain,
( ( xk = sz10 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ( sK2(xk) != xk ) ),
inference(unflattening,[status(thm)],[c_1556]) ).
tcf(c_1558,plain,
( ( xk = sz10 )
| ( xk = sz00 )
| ( sK2(xk) != xk ) ),
inference(global_subsumption_just,[status(thm)],[c_1557,c_113,c_1557]) ).
tcf(c_1569,plain,
! [X0: $i] :
( ( X0 = sz10 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( X0 != xk )
| ( sK2(X0) != sz10 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_119]) ).
tcf(c_1570,plain,
( ( xk = sz10 )
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ( sK2(xk) != sz10 ) ),
inference(unflattening,[status(thm)],[c_1569]) ).
tcf(c_1571,plain,
( ( xk = sz10 )
| ( xk = sz00 )
| ( sK2(xk) != sz10 ) ),
inference(global_subsumption_just,[status(thm)],[c_1570,c_113,c_1570]) ).
tcf(c_3243,negated_conjecture,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_3244,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_3246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( doDivides0(X0,X2)
| ~ doDivides0(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_4432,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_50,c_57]) ).
tcf(c_4438,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_4441,plain,
( doDivides0(sz00,sz00)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_4438,c_168]) ).
tcf(c_4442,plain,
doDivides0(sz00,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4441,c_50,c_49]) ).
tcf(c_4454,plain,
sdtasdt0(sz10,xk) = xk,
inference(superposition,[status(thm)],[c_113,c_61]) ).
tcf(c_4586,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_54]) ).
tcf(c_4801,plain,
sdtpldt0(sz10,xk) = sdtpldt0(xk,sz10),
inference(superposition,[status(thm)],[c_113,c_4586]) ).
tcf(c_4829,plain,
( sdtlseqdt0(xk,sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4801,c_171]) ).
tcf(c_4830,plain,
( aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4801,c_52]) ).
tcf(c_4831,plain,
aNaturalNumber0(sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_4830,c_113,c_50]) ).
tcf(c_4832,plain,
sdtlseqdt0(xk,sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_4829,c_113,c_50]) ).
tcf(c_4838,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz00) = sz00,
inference(superposition,[status(thm)],[c_4831,c_62]) ).
tcf(c_4840,plain,
sdtasdt0(sdtpldt0(sz10,xk),sz10) = sdtpldt0(sz10,xk),
inference(superposition,[status(thm)],[c_4831,c_60]) ).
tcf(c_4869,plain,
( doDivides0(sdtpldt0(sz10,xk),sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_4838,c_168]) ).
tcf(c_4870,plain,
doDivides0(sdtpldt0(sz10,xk),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_4869,c_49,c_4831]) ).
tcf(c_4952,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( xk != X0 )
| ( sz00 != X0 ) ),
inference(instantiation,[status(thm)],[c_3246]) ).
tcf(c_4953,plain,
( ( sz00 = xk )
| ( xk != sz00 )
| ( sz00 != sz00 ) ),
inference(instantiation,[status(thm)],[c_4952]) ).
tcf(c_4954,plain,
! [X0: $i] :
( ( sz10 = xk )
| ( xk != X0 )
| ( sz10 != X0 ) ),
inference(instantiation,[status(thm)],[c_3246]) ).
tcf(c_5036,plain,
( sdtlseqdt0(sz10,xk)
| ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[status(thm)],[c_4454,c_93]) ).
tcf(c_5042,plain,
sdtlseqdt0(sz10,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_5036,c_117,c_113,c_50]) ).
tcf(c_5085,plain,
( doDivides0(sdtpldt0(sz10,xk),sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_4840,c_168]) ).
tcf(c_5087,plain,
doDivides0(sdtpldt0(sz10,xk),sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_5085,c_50,c_4831]) ).
tcf(c_5546,plain,
( ( sz10 = xk )
| ( xk != sz10 )
| ( sz10 != sz10 ) ),
inference(instantiation,[status(thm)],[c_4954]) ).
tcf(c_5547,plain,
sz10 = sz10,
inference(instantiation,[status(thm)],[c_3244]) ).
tcf(c_6169,plain,
! [X0: $i] :
( sdtlseqdt0(X0,xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_6564,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_5042,c_81]) ).
tcf(c_6570,plain,
! [X0: $i] :
( sdtlseqdt0(sz10,X0)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xk,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6564,c_113,c_50]) ).
tcf(c_6648,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xk),X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_4870,c_101]) ).
tcf(c_6668,plain,
! [X0: $i] :
( doDivides0(sdtpldt0(sz10,xk),X0)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6648,c_49,c_4831]) ).
tcf(c_6975,plain,
( sdtlseqdt0(sz10,sdtpldt0(sz10,xk))
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_4832,c_6570]) ).
tcf(c_6976,plain,
sdtlseqdt0(sz10,sdtpldt0(sz10,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_6975,c_4831]) ).
tcf(c_7017,plain,
( ( sdtpldt0(sz10,xk) = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ sdtlseqdt0(sdtpldt0(sz10,xk),sz10) ),
inference(superposition,[status(thm)],[c_6976,c_80]) ).
tcf(c_7022,plain,
( ( sdtpldt0(sz10,xk) = sz10 )
| ~ sdtlseqdt0(sdtpldt0(sz10,xk),sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7017,c_50,c_4831]) ).
tcf(c_8015,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(superposition,[status(thm)],[c_4432,c_67]) ).
tcf(c_8037,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(X0,sz10) != sz10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8015,c_50,c_49]) ).
tcf(c_8585,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_4801,c_103]) ).
tcf(c_8623,plain,
! [X0: $i] :
( doDivides0(X0,sz10)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X0,sdtpldt0(sz10,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8585,c_113,c_50]) ).
tcf(c_19857,plain,
( sdtlseqdt0(sK2(xk),xk)
| ( xk = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ doDivides0(sK2(xk),xk) ),
inference(instantiation,[status(thm)],[c_6169]) ).
tcf(c_20996,plain,
( ( sz00 = xk )
| ~ aNaturalNumber0(xk)
| ( sdtpldt0(sz10,xk) != sz10 ) ),
inference(superposition,[status(thm)],[c_4801,c_8037]) ).
tcf(c_20998,plain,
sdtpldt0(sz10,xk) != sz10,
inference(forward_subsumption_resolution,[status(thm)],[c_20996,c_117,c_113]) ).
tcf(c_21000,plain,
~ sdtlseqdt0(sdtpldt0(sz10,xk),sz10),
inference(backward_subsumption_resolution,[status(thm)],[c_7022,c_20998]) ).
tcf(c_31809,plain,
( doDivides0(sdtpldt0(sz10,xk),sz10)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk))
| ~ doDivides0(sdtpldt0(sz10,xk),xk) ),
inference(superposition,[status(thm)],[c_5087,c_8623]) ).
tcf(c_31819,plain,
( doDivides0(sdtpldt0(sz10,xk),sz10)
| ~ doDivides0(sdtpldt0(sz10,xk),xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31809,c_4831]) ).
tcf(c_32134,plain,
( doDivides0(sdtpldt0(sz10,xk),sz10)
| ~ aNaturalNumber0(xk)
| ~ doDivides0(sz00,xk) ),
inference(superposition,[status(thm)],[c_6668,c_31819]) ).
tcf(c_32135,plain,
( doDivides0(sdtpldt0(sz10,xk),sz10)
| ~ doDivides0(sz00,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32134,c_113]) ).
tcf(c_32147,plain,
( sdtlseqdt0(sdtpldt0(sz10,xk),sz10)
| ( sz00 = sz10 )
| ~ aNaturalNumber0(sz10)
| ~ doDivides0(sz00,xk)
| ~ aNaturalNumber0(sdtpldt0(sz10,xk)) ),
inference(superposition,[status(thm)],[c_32135,c_104]) ).
tcf(c_32162,plain,
~ doDivides0(sz00,xk),
inference(forward_subsumption_resolution,[status(thm)],[c_32147,c_21000,c_51,c_50,c_4831]) ).
tcf(c_107320,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xk)
| ~ doDivides0(X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_133111,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xk))
| ~ doDivides0(sK2(xk),xk)
| ~ doDivides0(X0,sK2(xk)) ),
inference(instantiation,[status(thm)],[c_107320]) ).
tcf(c_133112,plain,
( doDivides0(sz00,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2(xk))
| ~ doDivides0(sz00,sK2(xk))
| ~ doDivides0(sK2(xk),xk) ),
inference(instantiation,[status(thm)],[c_133111]) ).
tcf(c_151350,plain,
( doDivides0(sK3(sK2(xk)),sK2(xk))
| ( sK2(xk) = xk )
| ( sK2(xk) = sz10 )
| ( sK2(xk) = sz00 )
| ~ aNaturalNumber0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk) ),
inference(instantiation,[status(thm)],[c_1248]) ).
tcf(c_151353,plain,
( aNaturalNumber0(sK3(sK2(xk)))
| ( sK2(xk) = xk )
| ( sK2(xk) = sz10 )
| ( sK2(xk) = sz00 )
| ~ aNaturalNumber0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk) ),
inference(instantiation,[status(thm)],[c_1272]) ).
tcf(c_151354,plain,
( isPrime0(sK3(sK2(xk)))
| ( sK2(xk) = xk )
| ( sK2(xk) = sz10 )
| ( sK2(xk) = sz00 )
| ~ aNaturalNumber0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk) ),
inference(instantiation,[status(thm)],[c_1224]) ).
tcf(c_187884,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,xk)
| ~ doDivides0(X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_206189,plain,
! [X0: $i] :
( doDivides0(X0,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xk))
| ~ doDivides0(sK2(xk),xk)
| ~ doDivides0(X0,sK2(xk)) ),
inference(instantiation,[status(thm)],[c_187884]) ).
tcf(c_230318,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X1,sK2(xk))
| ~ doDivides0(X2,X0)
| ( X1 != X2 )
| ( sK2(xk) != X0 ) ),
inference(instantiation,[status(thm)],[c_3252]) ).
tcf(c_230319,plain,
( doDivides0(sz00,sK2(xk))
| ~ doDivides0(sz00,sz00)
| ( sz00 != sz00 )
| ( sK2(xk) != sz00 ) ),
inference(instantiation,[status(thm)],[c_230318]) ).
tcf(c_238754,plain,
( doDivides0(sK3(sK2(xk)),xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ doDivides0(sK2(xk),xk)
| ~ aNaturalNumber0(sK3(sK2(xk)))
| ~ doDivides0(sK3(sK2(xk)),sK2(xk)) ),
inference(instantiation,[status(thm)],[c_206189]) ).
tcf(c_238757,plain,
( ~ isPrime0(sK3(sK2(xk)))
| ~ aNaturalNumber0(sK3(sK2(xk)))
| ~ doDivides0(sK3(sK2(xk)),xk) ),
inference(instantiation,[status(thm)],[c_3243]) ).
tcf(c_238758,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_238757,c_238754,c_230319,c_151350,c_151353,c_151354,c_133112,c_32162,c_19857,c_5547,c_5546,c_4953,c_4442,c_1571,c_1558,c_1545,c_1532,c_140,c_125,c_117,c_118,c_49,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM483+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.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 04:17:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.40
% 0.09/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.40
% 0.09/0.40 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 110.23/19.91 % SZS status Started for theBenchmark.p
% 110.23/19.91 % SZS status Theorem for theBenchmark.p
% 110.23/19.91
% 110.23/19.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 110.23/19.91
% 110.23/19.91 % ------ iProver source info
% 110.23/19.91
% 110.23/19.91 % git: date: 2026-07-19 20:42:38 +0200
% 110.23/19.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 110.23/19.91 % git: non_committed_changes: false
% 110.23/19.91
% 110.23/19.91 % ------ Parsing...
% 110.23/19.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 110.23/19.91
% 110.23/19.91 % ------ 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 %
% 110.23/19.91
% 110.23/19.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 110.23/19.91
% 110.23/19.91 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 110.23/19.91 % ------ Proving...
% 110.23/19.91 % ------ Problem Properties
% 110.23/19.91
% 110.23/19.91 %
% 110.23/19.91 % clauses 66
% 110.23/19.91 % conjectures 1
% 110.23/19.91 % EPR 18
% 110.23/19.91 % Horn 43
% 110.23/19.91 % unary 9
% 110.23/19.91 % binary 7
% 110.23/19.91 % lits 258
% 110.23/19.91 % lits eq 75
% 110.23/19.91 % fd_pure 0
% 110.23/19.91 % fd_pseudo 0
% 110.23/19.91 % fd_cond 15
% 110.23/19.91 % fd_pseudo_cond 10
% 110.23/19.91 % AC symbols 0
% 110.23/19.91
% 110.23/19.91 % ------ Schedule dynamic 5 is on
% 110.23/19.91
% 110.23/19.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 110.23/19.91
% 110.23/19.91
% 110.23/19.91 % ------
% 110.23/19.91 % Current options:
% 110.23/19.91 % ------
% 110.23/19.91
% 110.23/19.91
% 110.23/19.91 %
% 110.23/19.91
% 110.23/19.91 % ------ Proving...
% 110.23/19.91 % Proof_search_loop: time out after: 3841 full_loop iterations
% 110.23/19.91
% 110.23/19.91 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 110.23/19.91
% 110.23/19.91
% 110.23/19.91 % ------
% 110.23/19.91 % Current options:
% 110.23/19.91 % ------
% 110.23/19.91
% 110.23/19.91
% 110.23/19.91 %
% 110.23/19.91
% 110.23/19.91 % ------ Proving...
% 110.23/19.91 %
% 110.23/19.91
% 110.23/19.91 % SZS status Theorem for theBenchmark.p
% 110.23/19.91
% 110.23/19.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 110.23/19.92
% 110.23/19.92
%------------------------------------------------------------------------------