%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM503+3 : 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 : n007.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 02:25:21 PM UTC 2026
% Result : Theorem 40.42s 7.86s
% Output : CNFRefutation 40.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 209 ( 52 unt; 0 def)
% Number of atoms : 897 ( 348 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1117 ( 429 ~; 462 |; 196 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 246 ( 0 sgn 208 !; 38 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
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(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(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& X0 != sz00 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
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(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& X0 != sz00 )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f43,axiom,
~ ( sdtlseqdt0(xp,xm)
| ? [X0] :
( sdtpldt0(xp,X0) = xm
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( xk != sz10
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2327) ).
fof(f48,axiom,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( xr = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xr
| X0 = sz10 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X0] :
( sdtpldt0(xr,X0) = xk
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2362) ).
fof(f50,axiom,
( sdtlseqdt0(xp,xk)
& ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2389) ).
fof(f51,conjecture,
( ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ? [X0] :
( sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(xp,xk)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ? [X0] :
( sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(xp,xm)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f52,negated_conjecture,
~ ( ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ? [X0] :
( sdtpldt0(sdtasdt0(xp,xm),X0) = sdtasdt0(xp,xk)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ? [X0] :
( sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(xp,xm)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f54,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(f55,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(f56,plain,
( isPrime0(xr)
& ! [X1] :
( ( ( doDivides0(X1,xr)
| ? [X2] :
( sdtasdt0(X1,X2) = xr
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( xr = X1
| sz10 = X1 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(rectify,[],[f48]) ).
fof(f57,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X1] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) )
& ? [X0] :
( sdtpldt0(xr,X0) = xk
& aNaturalNumber0(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f58,plain,
~ ( ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ? [X1] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X1)
& aNaturalNumber0(X1) ) )
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ? [X0] :
( sdtpldt0(sdtasdt0(xn,xm),X0) = sdtasdt0(xp,xm)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(rectify,[],[f52]) ).
fof(f63,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,[],[f54]) ).
fof(f64,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,[],[f63]) ).
fof(f66,plain,
( ~ sdtlseqdt0(xp,xm)
& ! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f68,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(ennf_transformation,[],[f56]) ).
fof(f69,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
( ( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1) ) )
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ! [X0] :
( sdtasdt0(xp,xm) != sdtpldt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0) ) )
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(ennf_transformation,[],[f58]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f75]) ).
fof(f79,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f80,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ! [X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| X1 = X2 ) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f93,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f92]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f106]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f112]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtlseqdt0(X1,X0)
& X1 != X0 )
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f124]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f132,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f131]) ).
fof(f144,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK6)
& aNaturalNumber0(sK6)
& 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,[sK6]),skolemize(X2,sK6)],[f64]) ).
fof(f145,plain,
( sdtlseqdt0(xm,xp)
& xp = sdtpldt0(xm,sK8)
& aNaturalNumber0(sK8)
& xm != xp
& sdtlseqdt0(xn,xp)
& xp = sdtpldt0(xn,sK7)
& aNaturalNumber0(sK7)
& xn != xp ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f55]) ).
fof(f146,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK9)
& aNaturalNumber0(sK9)
& aNaturalNumber0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f69]) ).
fof(f147,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK11)
& aNaturalNumber0(sK11)
& xk = sdtpldt0(xr,sK10)
& aNaturalNumber0(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f57]) ).
fof(f148,plain,
( sdtlseqdt0(xp,xk)
& xk = sdtpldt0(xp,sK12)
& aNaturalNumber0(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f50]) ).
fof(f149,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,[],[f93]) ).
fof(f150,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,[],[f149]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ sdtlseqdt0(X0,X1)
| ( sdtpldt0(X0,sK13(X0,X1)) = X1
& aNaturalNumber0(sK13(X0,X1)) ) )
& ( ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| sdtlseqdt0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f150]) ).
fof(f152,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,[],[f107]) ).
fof(f153,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,[],[f152]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK14(X0,X1)) = X1
& aNaturalNumber0(sK14(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1))],[f153]) ).
fof(f160,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ! [X2] :
( ( sdtsldt0(X1,X0) != X2
| ( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| X2 = sdtsldt0(X1,X0) ) ) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f163,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f164,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f188,plain,
sz00 != xp,
inference(cnf_transformation,[],[f144]) ).
fof(f191,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f66]) ).
fof(f192,plain,
! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f197,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f145]) ).
fof(f200,plain,
xn != xp,
inference(cnf_transformation,[],[f145]) ).
fof(f202,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f203,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f207,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f212,plain,
sz00 != xr,
inference(cnf_transformation,[],[f146]) ).
fof(f216,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f146]) ).
fof(f218,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK11),
inference(cnf_transformation,[],[f147]) ).
fof(f219,plain,
aNaturalNumber0(sK11),
inference(cnf_transformation,[],[f147]) ).
fof(f222,plain,
sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f148]) ).
fof(f223,plain,
xk = sdtpldt0(xp,sK12),
inference(cnf_transformation,[],[f148]) ).
fof(f224,plain,
aNaturalNumber0(sK12),
inference(cnf_transformation,[],[f148]) ).
fof(f226,plain,
! [X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f70]) ).
fof(f227,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| sdtasdt0(xp,xm) != sdtpldt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f70]) ).
fof(f228,plain,
! [X0,X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| sdtasdt0(xp,xm) != sdtpldt0(sdtasdt0(xn,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f70]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f234,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f76]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f80]) ).
fof(f239,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f240,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f81]) ).
fof(f243,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f256,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK13(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f257,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f272,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f285,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtsldt0(X1,X0) != X2
| sdtasdt0(X0,X2) = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f296,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f269]) ).
fof(f302,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f291]) ).
tcf(c_49,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f164]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f163]) ).
tcf(c_51,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f162]) ).
tcf(c_68,plain,
xp != sz00,
inference(cnf_transformation,[],[f188]) ).
tcf(c_78,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtpldt0(xp,X0) != xm ) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_79,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f191]) ).
tcf(c_80,plain,
xn != xp,
inference(cnf_transformation,[],[f200]) ).
tcf(c_83,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f197]) ).
tcf(c_88,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f203]) ).
tcf(c_89,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f202]) ).
tcf(c_93,plain,
sz00 != xk,
inference(cnf_transformation,[],[f207]) ).
tcf(c_95,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f216]) ).
tcf(c_99,plain,
sz00 != xr,
inference(cnf_transformation,[],[f212]) ).
tcf(c_106,plain,
aNaturalNumber0(sK11),
inference(cnf_transformation,[],[f219]) ).
tcf(c_107,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK11),
inference(cnf_transformation,[],[f218]) ).
tcf(c_109,plain,
aNaturalNumber0(sK12),
inference(cnf_transformation,[],[f224]) ).
tcf(c_110,plain,
sdtpldt0(xp,sK12) = xk,
inference(cnf_transformation,[],[f223]) ).
tcf(c_111,plain,
sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f222]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i] :
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ( sdtasdt0(xn,xm) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xm),X1) != sdtasdt0(xp,xk) )
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_113,negated_conjecture,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ( sdtasdt0(xn,xm) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xp,xm) ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_114,negated_conjecture,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ( sdtasdt0(xn,xm) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk) ) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ( X2 = sz00 )
| ( X0 = X1 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = sz00 )
| ( X0 = X2 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sdtasdt0(X2,X1) ) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_126,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_127,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_130,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f243]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK13(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,sK13(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_173,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,[],[f287]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_153,c_158,c_153]) ).
tcf(c_1085,plain,
sdtasdt0(xp,xk) = sdtasdt0(xr,sK11),
inference(demodulation,[status(thm)],[c_107,c_89]) ).
tcf(c_1695,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk) ) ),
inference(light_normalisation,[status(thm)],[c_114,c_89]) ).
tcf(c_1708,plain,
! [X0: $i] :
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtpldt0(sdtasdt0(xp,xk),X0) != sdtasdt0(xp,xm) ) ),
inference(light_normalisation,[status(thm)],[c_113,c_89]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtpldt0(sdtasdt0(xp,xk),X1) != sdtasdt0(xp,xm) )
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk) ) ),
inference(light_normalisation,[status(thm)],[c_112,c_89]) ).
tcf(c_9114,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( sdtpldt0(sdtasdt0(xp,xk),X0) != sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1773]) ).
tcf(c_9115,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1773]) ).
tcf(c_9117,plain,
( iPr_def_10
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1708]) ).
tcf(c_9118,plain,
( iPr_def_11
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1695]) ).
tcf(c_9119,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_9121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_10920,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_126]) ).
tcf(c_10921,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_126]) ).
tcf(c_10949,plain,
sdtasdt0(sz00,xk) = sz00,
inference(superposition,[status(thm)],[c_88,c_127]) ).
tcf(c_11058,plain,
( ~ aNaturalNumber0(sK12)
| ( xm != xk ) ),
inference(superposition,[status(thm)],[c_110,c_78]) ).
tcf(c_11059,plain,
xm != xk,
inference(forward_subsumption_resolution,[status(thm)],[c_11058,c_109]) ).
tcf(c_11111,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_1085,c_158]) ).
tcf(c_11145,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_11111,c_106,c_95]) ).
tcf(c_11183,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_10921,c_251]) ).
tcf(c_11218,plain,
doDivides0(xm,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_11183,c_130,c_50]) ).
tcf(c_11276,plain,
( iPr_def_11
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_172,c_9118]) ).
tcf(c_11403,plain,
( iPr_def_11
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_11276,c_11145,c_11276]) ).
tcf(c_11595,plain,
! [X0: $i] :
( ( xn = xp )
| ( xp != X0 )
| ( xn != X0 ) ),
inference(instantiation,[status(thm)],[c_9121]) ).
tcf(c_13680,plain,
! [X0: $i] :
( iPr_def_11
| sdtlseqdt0(X0,sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_11403,c_173]) ).
tcf(c_13817,plain,
! [X0: $i] :
( iPr_def_11
| sdtlseqdt0(X0,sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(X0,sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13680,c_11145]) ).
tcf(c_14001,plain,
( ( sz00 = sK11 )
| ( sz00 = xr )
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr)
| ( sdtasdt0(xp,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_1085,c_121]) ).
tcf(c_14044,plain,
( ( sz00 = sK11 )
| ( sdtasdt0(xp,xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14001,c_99,c_106,c_95]) ).
tcf(c_16024,plain,
( ( xn = xp )
| ( xp != xn )
| ( xn != xn ) ),
inference(instantiation,[status(thm)],[c_11595]) ).
tcf(c_16025,plain,
xn = xn,
inference(instantiation,[status(thm)],[c_9119]) ).
tcf(c_16088,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 )
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_11218,c_179]) ).
tcf(c_16174,plain,
( ( xm = sz00 )
| ( sdtasdt0(xm,sdtsldt0(sz00,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16088,c_130,c_50]) ).
tcf(c_19526,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xp,xk) ) ),
inference(superposition,[status(thm)],[c_89,c_125]) ).
tcf(c_19552,plain,
! [X0: $i] :
( ( sz00 = xk )
| ( X0 = sz00 )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sz00 ) ),
inference(superposition,[status(thm)],[c_10949,c_125]) ).
tcf(c_19694,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xk) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19552,c_93,c_88,c_130]) ).
tcf(c_19750,plain,
! [X0: $i] :
( ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,xm) != sdtasdt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19526,c_50,c_49]) ).
tcf(c_19755,plain,
( ( xp = sz00 )
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xk) != sz00 ) ),
inference(instantiation,[status(thm)],[c_19694]) ).
tcf(c_19788,plain,
( ( xp = xn )
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ( sdtasdt0(xp,xm) != sdtasdt0(xp,xk) ) ),
inference(instantiation,[status(thm)],[c_19750]) ).
tcf(c_19960,plain,
( iPr_def_10
| ( xp = sz00 )
| ( xm = xk )
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xm,xk) ),
inference(superposition,[status(thm)],[c_118,c_9117]) ).
tcf(c_20402,plain,
( iPr_def_10
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ sdtlseqdt0(xm,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19960,c_68,c_11059,c_88,c_51,c_50]) ).
tcf(c_20846,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_89,c_120]) ).
tcf(c_20957,plain,
! [X0: $i] :
( iPr_def_11
| sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xp,xk))
| ( xm = sz00 )
| ( X0 = xp )
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_120,c_13817]) ).
tcf(c_21381,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm))
| ( xm = sz00 )
| ( X0 = xn )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xn,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20846,c_50,c_49]) ).
tcf(c_21417,plain,
! [X0: $i] :
( iPr_def_11
| sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xp,xk))
| ( xm = sz00 )
| ( X0 = xp )
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(X0,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20957,c_51,c_50]) ).
tcf(c_21500,plain,
( sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ( xp = xn )
| ( xm = sz00 )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xn,xp) ),
inference(instantiation,[status(thm)],[c_21381]) ).
tcf(c_21742,plain,
( iPr_def_10
| sdtlseqdt0(xk,xm)
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_172,c_20402]) ).
tcf(c_21744,plain,
( iPr_def_10
| sdtlseqdt0(xk,xm)
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21742,c_88,c_50]) ).
tcf(c_21923,plain,
! [X0: $i] :
( iPr_def_10
| sdtlseqdt0(X0,xm)
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(superposition,[status(thm)],[c_21744,c_173]) ).
tcf(c_21937,plain,
! [X0: $i] :
( iPr_def_10
| sdtlseqdt0(X0,xm)
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xk) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21923,c_88,c_50]) ).
tcf(c_21943,plain,
( iPr_def_10
| sdtlseqdt0(xp,xm)
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xk) ),
inference(instantiation,[status(thm)],[c_21937]) ).
tcf(c_28127,plain,
( iPr_def_11
| ( xm = sz00 ) ),
inference(global_subsumption_just,[status(thm)],[c_21417,c_51,c_83,c_80,c_9118,c_16024,c_16025,c_19788,c_21500]) ).
tcf(c_55185,plain,
sdtasdt0(xp,xk) != sz00,
inference(global_subsumption_just,[status(thm)],[c_14044,c_51,c_68,c_19755]) ).
tcf(c_68896,plain,
( ~ iPr_def_10
| ~ aNaturalNumber0(sK13(sdtasdt0(xp,xk),sdtasdt0(xp,xm)))
| ( sdtpldt0(sdtasdt0(xp,xk),sK13(sdtasdt0(xp,xk),sdtasdt0(xp,xm))) != sdtasdt0(xp,xm) ) ),
inference(instantiation,[status(thm)],[c_9114]) ).
tcf(c_68897,plain,
( ( sdtpldt0(sdtasdt0(xp,xk),sK13(sdtasdt0(xp,xk),sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) )
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_85341,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_93296,plain,
( aNaturalNumber0(sK13(sdtasdt0(xp,xk),sdtasdt0(xp,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_93739,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ) ),
inference(global_subsumption_just,[status(thm)],[c_9118,c_51,c_50,c_111,c_79,c_11145,c_21943,c_68896,c_68897,c_85341,c_93296]) ).
tcf(c_93740,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(renaming,[status(thm)],[c_93739]) ).
tcf(c_94076,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sK11)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[status(thm)],[c_1085,c_158]) ).
tcf(c_94102,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(forward_subsumption_resolution,[status(thm)],[c_94076,c_106,c_95]) ).
tcf(c_94194,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_172,c_93740]) ).
tcf(c_94216,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ) ),
inference(global_subsumption_just,[status(thm)],[c_94194,c_51,c_50,c_11145,c_85341,c_94194]) ).
tcf(c_96292,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ( sdtpldt0(sdtasdt0(xp,xm),sK13(sdtasdt0(xp,xm),sdtasdt0(xp,xk))) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_94216,c_144]) ).
tcf(c_96354,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ( sdtpldt0(sdtasdt0(xp,xm),sK13(sdtasdt0(xp,xm),sdtasdt0(xp,xk))) = sdtasdt0(xp,xk) )
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96292,c_94102]) ).
tcf(c_96693,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ( sdtpldt0(sdtasdt0(xp,xm),sK13(sdtasdt0(xp,xm),sdtasdt0(xp,xk))) = sdtasdt0(xp,xk) ) ),
inference(global_subsumption_just,[status(thm)],[c_96354,c_51,c_50,c_85341,c_96354]) ).
tcf(c_96703,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ iPr_def_11
| ~ aNaturalNumber0(sK13(sdtasdt0(xp,xm),sdtasdt0(xp,xk))) ),
inference(superposition,[status(thm)],[c_96693,c_9115]) ).
tcf(c_96723,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ iPr_def_11
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_143,c_96703]) ).
tcf(c_96724,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ iPr_def_11
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_96723,c_94102]) ).
tcf(c_96729,plain,
( ( sdtasdt0(xp,xm) = sdtasdt0(xp,xk) )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_96724,c_51,c_50,c_11145,c_85341,c_94194,c_96724]) ).
tcf(c_123508,plain,
xm = sz00,
inference(global_subsumption_just,[status(thm)],[c_16174,c_51,c_80,c_16024,c_16025,c_19788,c_28127,c_96729]) ).
tcf(c_123686,plain,
sdtasdt0(xn,sz00) = sdtasdt0(xp,xk),
inference(demodulation,[status(thm)],[c_89,c_123508]) ).
tcf(c_123697,plain,
sdtasdt0(xp,xk) = sz00,
inference(light_normalisation,[status(thm)],[c_123686,c_10920]) ).
tcf(c_123698,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_123697,c_55185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM503+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 04:17:38 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 40.42/7.86 % SZS status Started for theBenchmark.p
% 40.42/7.86 % SZS status Theorem for theBenchmark.p
% 40.42/7.86
% 40.42/7.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 40.42/7.86
% 40.42/7.86 % ------ iProver source info
% 40.42/7.86
% 40.42/7.86 % git: date: 2026-07-19 20:42:38 +0200
% 40.42/7.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 40.42/7.86 % git: non_committed_changes: false
% 40.42/7.86
% 40.42/7.86 % ------ Parsing...
% 40.42/7.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 40.42/7.86
% 40.42/7.86 % ------ Preprocessing... sup_sim: 9 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 %
% 40.42/7.86
% 40.42/7.86 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 40.42/7.86
% 40.42/7.86 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 40.42/7.86 % ------ Proving...
% 40.42/7.86 % ------ Problem Properties
% 40.42/7.86
% 40.42/7.86 %
% 40.42/7.86 % clauses 126
% 40.42/7.86 % conjectures 0
% 40.42/7.86 % EPR 46
% 40.42/7.86 % Horn 83
% 40.42/7.86 % unary 44
% 40.42/7.86 % binary 13
% 40.42/7.86 % lits 401
% 40.42/7.86 % lits eq 125
% 40.42/7.86 % fd_pure 0
% 40.42/7.86 % fd_pseudo 0
% 40.42/7.86 % fd_cond 24
% 40.42/7.86 % fd_pseudo_cond 11
% 40.42/7.86 % AC symbols 0
% 40.42/7.86
% 40.42/7.86 % ------ Schedule dynamic 5 is on
% 40.42/7.86
% 40.42/7.86 % ------ no conjectures: strip conj schedule
% 40.42/7.86
% 40.42/7.86 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 40.42/7.86
% 40.42/7.86
% 40.42/7.86 % ------
% 40.42/7.86 % Current options:
% 40.42/7.86 % ------
% 40.42/7.86
% 40.42/7.86
% 40.42/7.86 %
% 40.42/7.86
% 40.42/7.86 % ------ Proving...
% 40.42/7.86 %
% 40.42/7.86
% 40.42/7.86 % SZS status Theorem for theBenchmark.p
% 40.42/7.86
% 40.42/7.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.42/7.87
% 40.42/7.87
%------------------------------------------------------------------------------