%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM526+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : Tue Sep 29 12:15:36 PM UTC 2026
% Result : Theorem 10.92s 2.29s
% Output : Refutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 35
% Syntax : Number of formulae : 309 ( 52 unt; 14 def)
% Number of atoms : 1160 ( 305 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1480 ( 629 ~; 716 |; 91 &)
% ( 20 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 175 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
fof(f43,axiom,
( xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).
fof(f44,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
( aNaturalNumber0(xq)
& xn = sdtasdt0(xp,xq)
& xq = sdtsldt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3059) ).
fof(f46,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3082) ).
fof(f47,conjecture,
( xm != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
| sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( xm != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
| sdtlseqdt0(xm,xn) ) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f51,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
inference(rectify,[],[f44]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f54]) ).
fof(f61,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f61]) ).
fof(f65,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f66,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f72,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f82,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f85,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f86]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f90]) ).
fof(f94,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f95,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f94]) ).
fof(f98,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f99,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f100]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f111,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f110]) ).
fof(f120,plain,
( xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp) ),
inference(ennf_transformation,[],[f43]) ).
fof(f121,plain,
( xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
( xn = xm
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xm,X0) )
& ~ sdtlseqdt0(xm,xn) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f128,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f99]) ).
fof(f129,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f129]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f101]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f131]) ).
fof(f139,plain,
( aNaturalNumber0(sK6)
& sdtasdt0(xn,xn) = sdtasdt0(xp,sK6)
& doDivides0(xp,sdtasdt0(xn,xn))
& aNaturalNumber0(sK7)
& xn = sdtasdt0(xp,sK7)
& doDivides0(xp,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f51]) ).
fof(f142,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f149,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f152,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f65]) ).
fof(f154,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f66]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f171,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f173,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f179,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f181,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f182,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f185,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f189,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f192,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f209,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f210,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f211,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f212,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f213,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f214,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f222,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f226,plain,
sz10 != xp,
inference(cnf_transformation,[],[f121]) ).
fof(f227,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f139]) ).
fof(f230,plain,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(cnf_transformation,[],[f139]) ).
fof(f231,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK6),
inference(cnf_transformation,[],[f139]) ).
fof(f232,plain,
aNaturalNumber0(sK6),
inference(cnf_transformation,[],[f139]) ).
fof(f233,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f234,plain,
xn = sdtasdt0(xp,xq),
inference(cnf_transformation,[],[f45]) ).
fof(f235,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f45]) ).
fof(f236,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f237,plain,
( xn = xm
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f122]) ).
fof(f245,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f189]) ).
fof(f246,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f192]) ).
fof(f256,definition,
( spl9_1
<=> sdtlseqdt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f258,plain,
( ~ sdtlseqdt0(xm,xn)
| spl9_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f260,definition,
( spl9_2
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f261,plain,
( xn != xm
| spl9_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( xn = xm
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f237,f260,f256]) ).
fof(f268,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xp,sK6),
inference(forward_demodulation,[],[f222,f231]) ).
fof(f270,definition,
( spl9_4
<=> aNaturalNumber0(sz10) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f271,plain,
( aNaturalNumber0(sz10)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f287,plain,
spl9_4,
inference(avatar_split_clause,[],[f142,f270]) ).
fof(f299,definition,
( spl9_8
<=> sz00 = xq ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
fof(f300,plain,
( sz00 != xq
| spl9_8 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( sz00 = xq
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f310,plain,
( aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f144,f231]) ).
fof(f311,plain,
( aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(xn) ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f312,plain,
aNaturalNumber0(sdtasdt0(xp,sK6)),
inference(forward_subsumption_resolution,[],[f311,f214]) ).
fof(f390,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f227,f197]) ).
fof(f391,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f390,f209]) ).
fof(f392,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f391,f212]) ).
fof(f393,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f392,f214]) ).
fof(f394,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,xn),xp) = sdtasdt0(X0,xq) ),
inference(forward_demodulation,[],[f393,f233]) ).
fof(f427,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(superposition,[],[f246,f268]) ).
fof(f431,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[],[f427,f209]) ).
fof(f434,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ aNaturalNumber0(sdtasdt0(xp,sK6)) ),
inference(forward_subsumption_resolution,[],[f431,f212]) ).
fof(f436,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sK6))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp) ),
inference(forward_subsumption_resolution,[],[f434,f312]) ).
fof(f438,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ doDivides0(xp,sdtasdt0(xp,sK6))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ spl9_2 ),
inference(forward_demodulation,[],[f436,f262]) ).
fof(f440,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,sK6))
| ~ doDivides0(xp,sdtasdt0(xp,sK6))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ spl9_2 ),
inference(forward_demodulation,[],[f438,f231]) ).
fof(f442,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sK6))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f440,f312]) ).
fof(f448,plain,
( sdtasdt0(xn,xn) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ doDivides0(xp,sdtasdt0(xp,sK6))
| ~ spl9_2 ),
inference(forward_demodulation,[],[f442,f262]) ).
fof(f449,plain,
( sdtasdt0(xp,sK6) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ doDivides0(xp,sdtasdt0(xp,sK6))
| ~ spl9_2 ),
inference(forward_demodulation,[],[f448,f231]) ).
fof(f451,definition,
( spl9_18
<=> doDivides0(xp,sdtasdt0(xp,sK6)) ),
introduced(definition,[new_symbols(definition,[spl9_18])],[avatar_definition]) ).
fof(f452,plain,
( doDivides0(xp,sdtasdt0(xp,sK6))
| ~ spl9_18 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( ~ doDivides0(xp,sdtasdt0(xp,sK6))
| spl9_18 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl9_19
<=> sdtasdt0(xp,sK6) = sdtsldt0(sdtasdt0(xp,sK6),xp) ),
introduced(definition,[new_symbols(definition,[spl9_19])],[avatar_definition]) ).
fof(f457,plain,
( sdtasdt0(xp,sK6) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ spl9_19 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f458,plain,
( ~ spl9_18
| spl9_19
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f449,f260,f455,f451]) ).
fof(f465,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xq) = sdtasdt0(xq,X0) ),
inference(resolution,[],[f149,f235]) ).
fof(f470,plain,
doDivides0(xp,sdtasdt0(xp,sK6)),
inference(superposition,[],[f230,f231]) ).
fof(f471,plain,
( $false
| spl9_18 ),
inference(forward_subsumption_resolution,[],[f470,f453]) ).
fof(f472,plain,
spl9_18,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f483,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ spl9_18 ),
inference(forward_subsumption_resolution,[],[f436,f452]) ).
fof(f486,definition,
( spl9_20
<=> sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp) ),
introduced(definition,[new_symbols(definition,[spl9_20])],[avatar_definition]) ).
fof(f488,plain,
( sdtasdt0(xm,xm) = sdtsldt0(sdtasdt0(xp,sK6),xp)
| ~ spl9_20 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f490,definition,
( spl9_21
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl9_21])],[avatar_definition]) ).
fof(f491,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl9_21 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl9_21 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
( spl9_20
| ~ spl9_21
| ~ spl9_18 ),
inference(avatar_split_clause,[],[f483,f451,f490,f486]) ).
fof(f494,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| spl9_21 ),
inference(resolution,[],[f492,f144]) ).
fof(f495,plain,
( ~ aNaturalNumber0(xm)
| spl9_21 ),
inference(duplicate_literal_removal,[],[f494]) ).
fof(f496,plain,
( $false
| spl9_21 ),
inference(forward_subsumption_resolution,[],[f495,f213]) ).
fof(f497,plain,
spl9_21,
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f499,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl9_1 ),
inference(resolution,[],[f258,f173]) ).
fof(f500,plain,
( sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f499,f214]) ).
fof(f502,plain,
( sdtlseqdt0(xn,xm)
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f500,f213]) ).
fof(f660,definition,
( spl9_26
<=> aNaturalNumber0(sdtasdt0(xq,xq)) ),
introduced(definition,[new_symbols(definition,[spl9_26])],[avatar_definition]) ).
fof(f661,plain,
( aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl9_26 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f662,plain,
( ~ aNaturalNumber0(sdtasdt0(xq,xq))
| spl9_26 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f721,plain,
( ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq)
| spl9_26 ),
inference(resolution,[],[f662,f144]) ).
fof(f722,plain,
( ~ aNaturalNumber0(xq)
| spl9_26 ),
inference(duplicate_literal_removal,[],[f721]) ).
fof(f723,plain,
( $false
| spl9_26 ),
inference(forward_subsumption_resolution,[],[f722,f235]) ).
fof(f724,plain,
spl9_26,
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f732,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq),
inference(resolution,[],[f394,f214]) ).
fof(f742,plain,
sdtsldt0(sdtasdt0(xp,sK6),xp) = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f732,f231]) ).
fof(f745,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xq)
| ~ spl9_20 ),
inference(forward_demodulation,[],[f742,f488]) ).
fof(f801,plain,
sdtasdt0(xq,xn) = sdtasdt0(xn,xq),
inference(resolution,[],[f465,f214]) ).
fof(f803,plain,
sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
inference(resolution,[],[f465,f212]) ).
fof(f808,plain,
xn = sdtasdt0(xq,xp),
inference(forward_demodulation,[],[f803,f234]) ).
fof(f814,plain,
( doDivides0(xq,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f245,f808]) ).
fof(f815,plain,
( ~ doDivides0(xq,xn)
| ~ aNaturalNumber0(xp)
| sz00 = xq
| xp = sdtsldt0(xn,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f246,f808]) ).
fof(f817,plain,
( sdtlseqdt0(xq,xn)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f185,f808]) ).
fof(f818,plain,
( sdtlseqdt0(xq,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f817,f209]) ).
fof(f819,plain,
( ~ doDivides0(xq,xn)
| sz00 = xq
| xp = sdtsldt0(xn,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f815,f212]) ).
fof(f820,plain,
( doDivides0(xq,xn)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f814,f212]) ).
fof(f823,plain,
( sdtlseqdt0(xq,xn)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f818,f212]) ).
fof(f825,plain,
( doDivides0(xq,xn)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f820,f235]) ).
fof(f828,plain,
sdtlseqdt0(xq,xn),
inference(forward_subsumption_resolution,[],[f823,f235]) ).
fof(f830,plain,
doDivides0(xq,xn),
inference(forward_subsumption_resolution,[],[f825,f214]) ).
fof(f961,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) )
| spl9_1 ),
inference(resolution,[],[f502,f172]) ).
fof(f965,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f961,f214]) ).
fof(f967,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,xn)
| sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) )
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f965,f213]) ).
fof(f970,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(resolution,[],[f181,f171]) ).
fof(f1011,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f970,f182]) ).
fof(f1030,plain,
! [X2,X0,X1] :
( sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1011,f144]) ).
fof(f1045,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f1030,f144]) ).
fof(f1078,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sK6)
| sdtasdt0(xm,xm) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sz00 = xp
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f160,f268]) ).
fof(f1093,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sK6)
| sdtasdt0(xm,xm) = X0
| ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xp) )
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1078,f491]) ).
fof(f1109,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sK6)
| sdtasdt0(xm,xm) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) )
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1093,f209]) ).
fof(f1124,plain,
( ! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,sK6)
| sdtasdt0(xm,xm) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1109,f212]) ).
fof(f1160,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f154,f212]) ).
fof(f1306,plain,
xq = sdtasdt0(xq,sz10),
inference(resolution,[],[f152,f235]) ).
fof(f1678,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xq,xn)
| ~ spl9_20 ),
inference(forward_demodulation,[],[f745,f801]) ).
fof(f1688,plain,
( aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20
| ~ spl9_21 ),
inference(superposition,[],[f491,f1678]) ).
fof(f1696,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xq,xn))
| sz00 = xm
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) )
| ~ spl9_20 ),
inference(superposition,[],[f179,f1678]) ).
fof(f1700,plain,
( doDivides0(xm,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20 ),
inference(superposition,[],[f245,f1678]) ).
fof(f1701,plain,
( ~ doDivides0(xm,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(xm)
| sz00 = xm
| xm = sdtsldt0(sdtasdt0(xq,xn),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20 ),
inference(superposition,[],[f246,f1678]) ).
fof(f1702,plain,
( ~ doDivides0(xm,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(xm)
| sz00 = xm
| xm = sdtsldt0(sdtasdt0(xq,xn),xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20 ),
inference(duplicate_literal_removal,[],[f1701]) ).
fof(f1703,plain,
( doDivides0(xm,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20 ),
inference(duplicate_literal_removal,[],[f1700]) ).
fof(f1707,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xq,xn))
| sz00 = xm
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl9_20 ),
inference(duplicate_literal_removal,[],[f1696]) ).
fof(f1714,plain,
( ~ doDivides0(xm,sdtasdt0(xq,xn))
| sz00 = xm
| xm = sdtsldt0(sdtasdt0(xq,xn),xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f1702,f213]) ).
fof(f1715,plain,
( doDivides0(xm,sdtasdt0(xq,xn))
| ~ aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f1703,f213]) ).
fof(f1719,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xq,xn))
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0) )
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f1707,f210]) ).
fof(f1726,plain,
( ~ doDivides0(xm,sdtasdt0(xq,xn))
| xm = sdtsldt0(sdtasdt0(xq,xn),xm)
| ~ aNaturalNumber0(sdtasdt0(xq,xn))
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f1714,f210]) ).
fof(f1727,plain,
( doDivides0(xm,sdtasdt0(xq,xn))
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1715,f1688]) ).
fof(f1731,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(xq,xn))
| xm = X0
| ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0) )
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f1719,f213]) ).
fof(f1737,plain,
( ~ doDivides0(xm,sdtasdt0(xq,xn))
| xm = sdtsldt0(sdtasdt0(xq,xn),xm)
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1726,f1688]) ).
fof(f1738,plain,
( xm = sdtsldt0(sdtasdt0(xq,xn),xm)
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1737,f1727]) ).
fof(f1739,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xp,sK6)
| sdtasdt0(xm,xm) = sdtasdt0(xq,xq)
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ spl9_21 ),
inference(superposition,[],[f1124,f236]) ).
fof(f1741,plain,
( sdtasdt0(xm,xm) = sK6
| ~ aNaturalNumber0(sK6)
| ~ spl9_21 ),
inference(equality_resolution,[],[f1124]) ).
fof(f1742,plain,
( sdtasdt0(xm,xm) = sK6
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1741,f232]) ).
fof(f1744,plain,
( sdtasdt0(xm,xm) != sdtasdt0(xp,sK6)
| sdtasdt0(xm,xm) = sdtasdt0(xq,xq)
| ~ spl9_21
| ~ spl9_26 ),
inference(forward_subsumption_resolution,[],[f1739,f661]) ).
fof(f1745,plain,
( sK6 = sdtasdt0(xq,xn)
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_demodulation,[],[f1742,f1678]) ).
fof(f1747,plain,
( sdtasdt0(xp,sK6) != sdtasdt0(xq,xn)
| sdtasdt0(xm,xm) = sdtasdt0(xq,xq)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_26 ),
inference(forward_demodulation,[],[f1744,f1678]) ).
fof(f1749,plain,
( sK6 != sdtasdt0(xp,sK6)
| sdtasdt0(xm,xm) = sdtasdt0(xq,xq)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_26 ),
inference(forward_demodulation,[],[f1747,f1745]) ).
fof(f1751,plain,
( sdtasdt0(xq,xq) = sdtasdt0(xq,xn)
| sK6 != sdtasdt0(xp,sK6)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_26 ),
inference(forward_demodulation,[],[f1749,f1678]) ).
fof(f1757,plain,
( sdtasdt0(xq,xq) = sK6
| sK6 != sdtasdt0(xp,sK6)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_26 ),
inference(forward_demodulation,[],[f1751,f1745]) ).
fof(f1759,definition,
( spl9_50
<=> sK6 = sdtasdt0(xp,sK6) ),
introduced(definition,[new_symbols(definition,[spl9_50])],[avatar_definition]) ).
fof(f1761,plain,
( sK6 != sdtasdt0(xp,sK6)
| spl9_50 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1763,definition,
( spl9_51
<=> sdtasdt0(xq,xq) = sK6 ),
introduced(definition,[new_symbols(definition,[spl9_51])],[avatar_definition]) ).
fof(f1765,plain,
( sdtasdt0(xq,xq) = sK6
| ~ spl9_51 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1766,plain,
( ~ spl9_50
| spl9_51
| ~ spl9_20
| ~ spl9_21
| ~ spl9_26 ),
inference(avatar_split_clause,[],[f1757,f660,f490,f486,f1763,f1759]) ).
fof(f1779,plain,
( doDivides0(xq,sK6)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_20
| ~ spl9_21 ),
inference(superposition,[],[f245,f1745]) ).
fof(f1780,plain,
( ~ doDivides0(xq,sK6)
| ~ aNaturalNumber0(xn)
| sz00 = xq
| xn = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_20
| ~ spl9_21 ),
inference(superposition,[],[f246,f1745]) ).
fof(f1781,plain,
( ~ doDivides0(xq,sK6)
| sz00 = xq
| xn = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1780,f214]) ).
fof(f1782,plain,
( doDivides0(xq,sK6)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1779,f214]) ).
fof(f1794,plain,
( ~ doDivides0(xq,sK6)
| xn = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK6)
| spl9_8
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1781,f300]) ).
fof(f1795,plain,
( doDivides0(xq,sK6)
| ~ aNaturalNumber0(sK6)
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1782,f235]) ).
fof(f1811,definition,
( spl9_53
<=> xn = xq ),
introduced(definition,[new_symbols(definition,[spl9_53])],[avatar_definition]) ).
fof(f1812,plain,
( xn != xq
| spl9_53 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f1813,plain,
( xn = xq
| ~ spl9_53 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f1819,plain,
( ~ doDivides0(xq,sK6)
| xn = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(sK6)
| spl9_8
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1794,f235]) ).
fof(f1820,plain,
( doDivides0(xq,sK6)
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1795,f232]) ).
fof(f1835,plain,
( ~ doDivides0(xq,sK6)
| xn = sdtsldt0(sK6,xq)
| spl9_8
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1819,f232]) ).
fof(f1836,plain,
( xn = sdtsldt0(sK6,xq)
| spl9_8
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_subsumption_resolution,[],[f1835,f1820]) ).
fof(f2002,plain,
( ~ doDivides0(xq,sK6)
| ~ aNaturalNumber0(xq)
| sz00 = xq
| xq = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_51 ),
inference(superposition,[],[f246,f1765]) ).
fof(f2003,plain,
( ~ doDivides0(xq,sK6)
| ~ aNaturalNumber0(xq)
| sz00 = xq
| xq = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_51 ),
inference(duplicate_literal_removal,[],[f2002]) ).
fof(f2015,plain,
( ~ aNaturalNumber0(xq)
| sz00 = xq
| xq = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_51 ),
inference(forward_subsumption_resolution,[],[f2003,f1820]) ).
fof(f2025,plain,
( sz00 = xq
| xq = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(sK6)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_51 ),
inference(forward_subsumption_resolution,[],[f2015,f235]) ).
fof(f2035,plain,
( xq = sdtsldt0(sK6,xq)
| ~ aNaturalNumber0(sK6)
| spl9_8
| ~ spl9_20
| ~ spl9_21
| ~ spl9_51 ),
inference(forward_subsumption_resolution,[],[f2025,f300]) ).
fof(f2038,plain,
( xq = sdtsldt0(sK6,xq)
| spl9_8
| ~ spl9_20
| ~ spl9_21
| ~ spl9_51 ),
inference(forward_subsumption_resolution,[],[f2035,f232]) ).
fof(f2039,plain,
( xn = xq
| spl9_8
| ~ spl9_20
| ~ spl9_21
| ~ spl9_51 ),
inference(forward_demodulation,[],[f2038,f1836]) ).
fof(f2152,plain,
( xn = sdtasdt0(xp,sz00)
| ~ spl9_8 ),
inference(superposition,[],[f234,f301]) ).
fof(f2165,plain,
( sz00 = xn
| ~ spl9_8 ),
inference(forward_demodulation,[],[f2152,f1160]) ).
fof(f2167,plain,
( $false
| ~ spl9_8 ),
inference(forward_subsumption_resolution,[],[f2165,f211]) ).
fof(f2168,plain,
~ spl9_8,
inference(avatar_contradiction_clause,[],[f2167]) ).
fof(f2171,plain,
( spl9_53
| spl9_8
| ~ spl9_20
| ~ spl9_21
| ~ spl9_51 ),
inference(avatar_split_clause,[],[f2039,f1763,f490,f486,f299,f1811]) ).
fof(f2179,plain,
( sz00 = xq
| xp = sdtsldt0(xn,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f819,f830]) ).
fof(f2211,plain,
( xp = sdtsldt0(xn,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| spl9_8 ),
inference(forward_subsumption_resolution,[],[f2179,f300]) ).
fof(f2241,plain,
( xp = sdtsldt0(xn,xq)
| ~ aNaturalNumber0(xn)
| spl9_8 ),
inference(forward_subsumption_resolution,[],[f2211,f235]) ).
fof(f2265,plain,
( xp = sdtsldt0(xn,xq)
| spl9_8 ),
inference(forward_subsumption_resolution,[],[f2241,f214]) ).
fof(f2274,plain,
( xp = sdtsldt0(xq,xq)
| spl9_8
| ~ spl9_53 ),
inference(forward_demodulation,[],[f2265,f1813]) ).
fof(f3144,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f245,f1306]) ).
fof(f3145,plain,
( ~ doDivides0(xq,xq)
| ~ aNaturalNumber0(sz10)
| sz00 = xq
| sz10 = sdtsldt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f246,f1306]) ).
fof(f3146,plain,
( ~ doDivides0(xq,xq)
| ~ aNaturalNumber0(sz10)
| sz00 = xq
| sz10 = sdtsldt0(xq,xq)
| ~ aNaturalNumber0(xq) ),
inference(duplicate_literal_removal,[],[f3145]) ).
fof(f3147,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq) ),
inference(duplicate_literal_removal,[],[f3144]) ).
fof(f3246,plain,
( ~ doDivides0(xq,xq)
| sz00 = xq
| sz10 = sdtsldt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f3146,f271]) ).
fof(f3247,plain,
( doDivides0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f3147,f271]) ).
fof(f3286,plain,
( ~ doDivides0(xq,xq)
| sz10 = sdtsldt0(xq,xq)
| ~ aNaturalNumber0(xq)
| ~ spl9_4
| spl9_8 ),
inference(forward_subsumption_resolution,[],[f3246,f300]) ).
fof(f3287,plain,
( doDivides0(xq,xq)
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f3247,f235]) ).
fof(f3318,plain,
( ~ doDivides0(xq,xq)
| sz10 = sdtsldt0(xq,xq)
| ~ spl9_4
| spl9_8 ),
inference(forward_subsumption_resolution,[],[f3286,f235]) ).
fof(f3397,plain,
( sz10 = sdtsldt0(xq,xq)
| ~ spl9_4
| spl9_8 ),
inference(forward_subsumption_resolution,[],[f3318,f3287]) ).
fof(f3406,plain,
( sz10 = xp
| ~ spl9_4
| spl9_8
| ~ spl9_53 ),
inference(forward_demodulation,[],[f3397,f2274]) ).
fof(f3411,plain,
( $false
| ~ spl9_4
| spl9_8
| ~ spl9_53 ),
inference(forward_subsumption_resolution,[],[f3406,f226]) ).
fof(f3412,plain,
( ~ spl9_4
| spl9_8
| ~ spl9_53 ),
inference(avatar_contradiction_clause,[],[f3411]) ).
fof(f5788,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xq)
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xq
| ~ spl9_20 ),
inference(resolution,[],[f1731,f1045]) ).
fof(f5794,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xq)
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xq
| ~ spl9_20 ),
inference(duplicate_literal_removal,[],[f5788]) ).
fof(f5799,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| xn = xm
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xq
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f5794,f235]) ).
fof(f5804,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xq
| spl9_2
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f5799,f261]) ).
fof(f5808,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xq
| spl9_1
| spl9_2
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f5804,f502]) ).
fof(f5809,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xm)
| sz00 = xq
| spl9_1
| spl9_2
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f5808,f214]) ).
fof(f5810,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| sz00 = xq
| spl9_1
| spl9_2
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f5809,f213]) ).
fof(f5811,plain,
( xm = xq
| ~ sdtlseqdt0(xq,xm)
| spl9_1
| spl9_2
| spl9_8
| ~ spl9_20 ),
inference(forward_subsumption_resolution,[],[f5810,f300]) ).
fof(f5813,definition,
( spl9_107
<=> sdtlseqdt0(xq,xm) ),
introduced(definition,[new_symbols(definition,[spl9_107])],[avatar_definition]) ).
fof(f5815,plain,
( ~ sdtlseqdt0(xq,xm)
| spl9_107 ),
inference(avatar_component_clause,[],[f5813]) ).
fof(f5817,definition,
( spl9_108
<=> xm = xq ),
introduced(definition,[new_symbols(definition,[spl9_108])],[avatar_definition]) ).
fof(f5819,plain,
( xm = xq
| ~ spl9_108 ),
inference(avatar_component_clause,[],[f5817]) ).
fof(f7155,plain,
( sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xq)
| spl9_1 ),
inference(resolution,[],[f967,f828]) ).
fof(f7160,plain,
( ~ aNaturalNumber0(xq)
| spl9_1
| spl9_107 ),
inference(forward_subsumption_resolution,[],[f7155,f5815]) ).
fof(f7166,plain,
( $false
| spl9_1
| spl9_107 ),
inference(forward_subsumption_resolution,[],[f7160,f235]) ).
fof(f7167,plain,
( spl9_1
| spl9_107 ),
inference(avatar_contradiction_clause,[],[f7166]) ).
fof(f7177,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xp,sK6)
| ~ spl9_19
| ~ spl9_20 ),
inference(forward_demodulation,[],[f457,f488]) ).
fof(f7179,plain,
( sdtasdt0(xp,sK6) = sdtasdt0(xq,xn)
| ~ spl9_19
| ~ spl9_20 ),
inference(forward_demodulation,[],[f7177,f1678]) ).
fof(f7182,plain,
( sK6 = sdtasdt0(xp,sK6)
| ~ spl9_19
| ~ spl9_20
| ~ spl9_21 ),
inference(forward_demodulation,[],[f7179,f1745]) ).
fof(f7183,plain,
( $false
| ~ spl9_19
| ~ spl9_20
| ~ spl9_21
| spl9_50 ),
inference(forward_subsumption_resolution,[],[f7182,f1761]) ).
fof(f7184,plain,
( ~ spl9_19
| ~ spl9_20
| ~ spl9_21
| spl9_50 ),
inference(avatar_contradiction_clause,[],[f7183]) ).
fof(f7185,plain,
( ~ spl9_107
| spl9_108
| spl9_1
| spl9_2
| spl9_8
| ~ spl9_20 ),
inference(avatar_split_clause,[],[f5811,f486,f299,f260,f256,f5817,f5813]) ).
fof(f7225,plain,
( xq = sdtsldt0(sdtasdt0(xq,xn),xq)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_108 ),
inference(superposition,[],[f1738,f5819]) ).
fof(f7242,plain,
( xq = sdtsldt0(sK6,xq)
| ~ spl9_20
| ~ spl9_21
| ~ spl9_108 ),
inference(forward_demodulation,[],[f7225,f1745]) ).
fof(f7258,plain,
( xn = xq
| spl9_8
| ~ spl9_20
| ~ spl9_21
| ~ spl9_108 ),
inference(forward_demodulation,[],[f7242,f1836]) ).
fof(f7262,plain,
( $false
| spl9_8
| ~ spl9_20
| ~ spl9_21
| spl9_53
| ~ spl9_108 ),
inference(forward_subsumption_resolution,[],[f7258,f1812]) ).
fof(f7263,plain,
( spl9_8
| ~ spl9_20
| ~ spl9_21
| spl9_53
| ~ spl9_108 ),
inference(avatar_contradiction_clause,[],[f7262]) ).
cnf(s1,plain,
( ~ spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f263]) ).
cnf(s5,plain,
spl9_4,
inference(sat_conversion,[],[f287]) ).
cnf(s15,plain,
( ~ spl9_2
| ~ spl9_18
| spl9_19 ),
inference(sat_conversion,[],[f458]) ).
cnf(s16,plain,
spl9_18,
inference(sat_conversion,[],[f472]) ).
cnf(s17,plain,
( ~ spl9_18
| spl9_20
| ~ spl9_21 ),
inference(sat_conversion,[],[f493]) ).
cnf(s18,plain,
spl9_21,
inference(sat_conversion,[],[f497]) ).
cnf(s32,plain,
spl9_26,
inference(sat_conversion,[],[f724]) ).
cnf(s48,plain,
( ~ spl9_20
| ~ spl9_21
| ~ spl9_26
| ~ spl9_50
| spl9_51 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s66,plain,
~ spl9_8,
inference(sat_conversion,[],[f2168]) ).
cnf(s67,plain,
( spl9_8
| ~ spl9_20
| ~ spl9_21
| ~ spl9_51
| spl9_53 ),
inference(sat_conversion,[],[f2171]) ).
cnf(s86,plain,
( ~ spl9_4
| spl9_8
| ~ spl9_53 ),
inference(sat_conversion,[],[f3412]) ).
cnf(s150,plain,
( spl9_1
| spl9_107 ),
inference(sat_conversion,[],[f7167]) ).
cnf(s154,plain,
( ~ spl9_19
| ~ spl9_20
| ~ spl9_21
| spl9_50 ),
inference(sat_conversion,[],[f7184]) ).
cnf(s155,plain,
( spl9_1
| spl9_2
| spl9_8
| ~ spl9_20
| ~ spl9_107
| spl9_108 ),
inference(sat_conversion,[],[f7185]) ).
cnf(s160,plain,
( spl9_8
| ~ spl9_20
| ~ spl9_21
| spl9_53
| ~ spl9_108 ),
inference(sat_conversion,[],[f7263]) ).
cnf(s182,plain,
( ~ spl9_18
| spl9_20 ),
inference(rat,[],[s17,s18]) ).
cnf(s183,plain,
spl9_20,
inference(rat,[],[s182,s16]) ).
cnf(s184,plain,
( ~ spl9_2
| spl9_19 ),
inference(rat,[],[s15,s16]) ).
cnf(s194,plain,
~ spl9_53,
inference(rat,[],[s86,s66,s5]) ).
cnf(s196,plain,
~ spl9_108,
inference(rat,[],[s160,s183,s18,s66,s194]) ).
cnf(s198,plain,
~ spl9_51,
inference(rat,[],[s67,s183,s18,s66,s194]) ).
cnf(s201,plain,
~ spl9_50,
inference(rat,[],[s48,s183,s18,s32,s198]) ).
cnf(s202,plain,
~ spl9_19,
inference(rat,[],[s154,s183,s18,s201]) ).
cnf(s203,plain,
~ spl9_2,
inference(rat,[],[s184,s202]) ).
cnf(s207,plain,
~ spl9_1,
inference(rat,[],[s1,s203]) ).
cnf(s208,plain,
~ spl9_107,
inference(rat,[],[s155,s196,s203,s183,s66,s207]) ).
cnf(s210,plain,
$false,
inference(rat,[],[s150,s208,s207]) ).
fof(f7267,plain,
$false,
inference(avatar_sat_refutation,[],[s210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM526+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n010.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 20:20:17 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.92/2.29 % (1282652)Detected formulas, will run a generic FOF schedule.
% 10.92/2.29 % (1282662)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1773488849:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.92/2.29 % (1282658)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1913680193:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.92/2.29 % (1282661)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2429309858:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.92/2.29 % (1282663)dis-21_1_sil=8000:lcm=predicate:random_seed=1705253619:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.92/2.29 % (1282659)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3112096099:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.92/2.29 % (1282660)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2807636486:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.92/2.29 % (1282657)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2596097537:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.92/2.29 % (1282662)Instruction limit reached!
% 10.92/2.29 % (1282662)------------------------------
% 10.92/2.29 % (1282662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282662)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282662)Termination reason: Instruction limit
% 10.92/2.29 % (1282662)Termination phase: Saturation
% 10.92/2.29 % (1282662)Time elapsed: 0.049 s
% 10.92/2.29 % (1282662)Peak memory usage: 90 MB
% 10.92/2.29 % (1282662)Instructions burned: 142 (million)
% 10.92/2.29 % (1282660)Instruction limit reached!
% 10.92/2.29 % (1282660)------------------------------
% 10.92/2.29 % (1282660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282660)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282660)Termination reason: Instruction limit
% 10.92/2.29 % (1282660)Termination phase: Saturation
% 10.92/2.29 % (1282660)Time elapsed: 0.057 s
% 10.92/2.29 % (1282660)Peak memory usage: 89 MB
% 10.92/2.29 % (1282660)Instructions burned: 109 (million)
% 10.92/2.29 % (1282661)Instruction limit reached!
% 10.92/2.29 % (1282661)------------------------------
% 10.92/2.29 % (1282661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282661)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282661)Termination reason: Instruction limit
% 10.92/2.29 % (1282661)Termination phase: Saturation
% 10.92/2.29 % (1282661)Time elapsed: 0.067 s
% 10.92/2.29 % (1282661)Peak memory usage: 88 MB
% 10.92/2.29 % (1282661)Instructions burned: 120 (million)
% 10.92/2.29 % (1282663)Instruction limit reached!
% 10.92/2.29 % (1282663)------------------------------
% 10.92/2.29 % (1282663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282663)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282663)Termination reason: Instruction limit
% 10.92/2.29 % (1282663)Termination phase: Saturation
% 10.92/2.29 % (1282663)Time elapsed: 0.078 s
% 10.92/2.29 % (1282663)Peak memory usage: 91 MB
% 10.92/2.29 % (1282663)Instructions burned: 130 (million)
% 10.92/2.29 % (1282671)lrs+10_1_sil=8000:sp=occurrence:random_seed=2062175740:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.92/2.29 % (1282672)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1692596361:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.92/2.29 % (1282673)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2277524974:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.92/2.29 % (1282674)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1728686525:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.92/2.29 % (1282671)Instruction limit reached!
% 10.92/2.29 % (1282671)------------------------------
% 10.92/2.29 % (1282671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282671)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282671)Termination reason: Instruction limit
% 10.92/2.29 % (1282671)Termination phase: Saturation
% 10.92/2.29 % (1282671)Time elapsed: 0.089 s
% 10.92/2.29 % (1282671)Peak memory usage: 91 MB
% 10.92/2.29 % (1282671)Instructions burned: 288 (million)
% 10.92/2.29 % (1282672)Instruction limit reached!
% 10.92/2.29 % (1282672)------------------------------
% 10.92/2.29 % (1282672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282672)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282672)Termination reason: Instruction limit
% 10.92/2.29 % (1282672)Termination phase: Saturation
% 10.92/2.29 % (1282672)Time elapsed: 0.078 s
% 10.92/2.29 % (1282672)Peak memory usage: 94 MB
% 10.92/2.29 % (1282672)Instructions burned: 158 (million)
% 10.92/2.29 % (1282674)Instruction limit reached!
% 10.92/2.29 % (1282674)------------------------------
% 10.92/2.29 % (1282674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282674)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282674)Termination reason: Instruction limit
% 10.92/2.29 % (1282674)Termination phase: Saturation
% 10.92/2.29 % (1282674)Time elapsed: 0.119 s
% 10.92/2.29 % (1282674)Peak memory usage: 94 MB
% 10.92/2.29 % (1282674)Instructions burned: 248 (million)
% 10.92/2.29 % (1282679)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1749902465:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.92/2.29 % (1282673)Instruction limit reached!
% 10.92/2.29 % (1282673)------------------------------
% 10.92/2.29 % (1282673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282673)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282673)Termination reason: Instruction limit
% 10.92/2.29 % (1282673)Termination phase: Saturation
% 10.92/2.29 % (1282673)Time elapsed: 0.191 s
% 10.92/2.29 % (1282673)Peak memory usage: 91 MB
% 10.92/2.29 % (1282673)Instructions burned: 325 (million)
% 10.92/2.29 % (1282680)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4043811585:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 10.92/2.29 % (1282679)Instruction limit reached!
% 10.92/2.29 % (1282679)------------------------------
% 10.92/2.29 % (1282679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282679)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282679)Termination reason: Instruction limit
% 10.92/2.29 % (1282679)Termination phase: Saturation
% 10.92/2.29 % (1282679)Time elapsed: 0.084 s
% 10.92/2.29 % (1282679)Peak memory usage: 90 MB
% 10.92/2.29 % (1282679)Instructions burned: 295 (million)
% 10.92/2.29 % (1282681)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=659498158:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 10.92/2.29 % (1282683)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2953297415:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.92/2.29 % (1282685)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2635998940:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 10.92/2.29 % (1282681)Instruction limit reached!
% 10.92/2.29 % (1282681)------------------------------
% 10.92/2.29 % (1282681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282681)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282681)Termination reason: Instruction limit
% 10.92/2.29 % (1282681)Termination phase: Saturation
% 10.92/2.29 % (1282681)Time elapsed: 0.070 s
% 10.92/2.29 % (1282681)Peak memory usage: 91 MB
% 10.92/2.29 % (1282681)Instructions burned: 113 (million)
% 10.92/2.29 % (1282685)Instruction limit reached!
% 10.92/2.29 % (1282685)------------------------------
% 10.92/2.29 % (1282685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282685)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282685)Termination reason: Instruction limit
% 10.92/2.29 % (1282685)Termination phase: Saturation
% 10.92/2.29 % (1282685)Time elapsed: 0.034 s
% 10.92/2.29 % (1282685)Peak memory usage: 89 MB
% 10.92/2.29 % (1282685)Instructions burned: 117 (million)
% 10.92/2.29 % (1282683)Instruction limit reached!
% 10.92/2.29 % (1282683)------------------------------
% 10.92/2.29 % (1282683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282683)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282683)Termination reason: Instruction limit
% 10.92/2.29 % (1282683)Termination phase: Saturation
% 10.92/2.29 % (1282683)Time elapsed: 0.064 s
% 10.92/2.29 % (1282683)Peak memory usage: 89 MB
% 10.92/2.29 % (1282683)Instructions burned: 127 (million)
% 10.92/2.29 % (1282690)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=62106259:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.92/2.29 % (1282689)lrs+10_1_sil=8000:sp=occurrence:random_seed=1626957191:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.92/2.29 % (1282691)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2807974739:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 10.92/2.29 % (1282690)Instruction limit reached!
% 10.92/2.29 % (1282690)------------------------------
% 10.92/2.29 % (1282690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282690)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282690)Termination reason: Instruction limit
% 10.92/2.29 % (1282690)Termination phase: Saturation
% 10.92/2.29 % (1282690)Time elapsed: 0.131 s
% 10.92/2.29 % (1282690)Peak memory usage: 92 MB
% 10.92/2.29 % (1282690)Instructions burned: 439 (million)
% 10.92/2.29 % (1282695)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1257824018:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 10.92/2.29 % (1282695)Instruction limit reached!
% 10.92/2.29 % (1282695)------------------------------
% 10.92/2.29 % (1282695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282695)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282695)Termination reason: Instruction limit
% 10.92/2.29 % (1282695)Termination phase: Saturation
% 10.92/2.29 % (1282695)Time elapsed: 0.033 s
% 10.92/2.29 % (1282695)Peak memory usage: 91 MB
% 10.92/2.29 % (1282695)Instructions burned: 136 (million)
% 10.92/2.29 % (1282697)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2855625038:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 10.92/2.29 % (1282657)First to succeed.
% 10.92/2.29 % (1282657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1282652"
% 10.92/2.29 % (1282689)Instruction limit reached!
% 10.92/2.29 % (1282689)------------------------------
% 10.92/2.29 % (1282689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282689)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282689)Termination reason: Instruction limit
% 10.92/2.29 % (1282689)Termination phase: Saturation
% 10.92/2.29 % (1282689)Time elapsed: 0.510 s
% 10.92/2.29 % (1282689)Peak memory usage: 98 MB
% 10.92/2.29 % (1282689)Instructions burned: 907 (million)
% 10.92/2.29 % (1282697)Instruction limit reached!
% 10.92/2.29 % (1282697)------------------------------
% 10.92/2.29 % (1282697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.29 % (1282697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.29 % (1282697)CaDiCaL version: 2.1.3
% 10.92/2.29 % (1282697)Termination reason: Instruction limit
% 10.92/2.29 % (1282697)Termination phase: Saturation
% 10.92/2.29 % (1282697)Time elapsed: 0.197 s
% 10.92/2.29 % (1282697)Peak memory usage: 91 MB
% 10.92/2.29 % (1282697)Instructions burned: 594 (million)
% 10.92/2.29 % (1282658)Also succeeded, but the first one will report.
% 10.92/2.29 % (1282699)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1527167857:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 10.92/2.29 % (1282657)Refutation found. Thanks to Tanya!
% 10.92/2.29 % SZS status Theorem for theBenchmark
% 10.92/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 11.75/2.38 % (1282657)------------------------------
% 11.75/2.38 % (1282657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.75/2.38 % (1282657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.38 % (1282657)CaDiCaL version: 2.1.3
% 11.75/2.38 % (1282657)Termination reason: Refutation
% 11.75/2.38 % (1282657)Time elapsed: 1.210 s
% 11.75/2.38 % (1282657)Peak memory usage: 136 MB
% 11.75/2.38 % (1282657)Instructions burned: 1858 (million)
% 11.75/2.38 % (1282657)------------------------------
% 11.75/2.38 % (1282657)------------------------------
% 11.75/2.38 % (1282652)Success in time 1.636 s
% 11.75/2.38 % Vampire exiting
%------------------------------------------------------------------------------