%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM486+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:15:24 PM UTC 2026
% Result : Theorem 147.40s 34.53s
% Output : Refutation 239.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 72
% Syntax : Number of formulae : 599 ( 90 unt; 44 def)
% Number of atoms : 2292 ( 404 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 3137 (1444 ~;1468 |; 131 &)
% ( 56 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 45 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 429 ( 0 sgn 416 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
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/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,X2) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivSum) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,sdtpldt0(X1,X2)) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( isPrime0(X2)
& doDivides0(X2,sdtasdt0(X0,X1)) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( doDivides0(X2,X0)
| doDivides0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f42,conjecture,
( sdtlseqdt0(xp,xn)
=> ( doDivides0(xp,xn)
| doDivides0(xp,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ ( sdtlseqdt0(xp,xn)
=> ( doDivides0(xp,xn)
| doDivides0(xp,xm) ) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f47,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f53,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f59,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f60,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f64,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f63]) ).
fof(f69,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f72,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f78,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f79,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f81,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f82]) ).
fof(f84,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(f85,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,[],[f84]) ).
fof(f90,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f91,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f93,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f92]) ).
fof(f98,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f99,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f101,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f100]) ).
fof(f106,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f107,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f106]) ).
fof(f110,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f111,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
( ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm)
& sdtlseqdt0(xp,xn) ),
inference(ennf_transformation,[],[f43]) ).
fof(f113,plain,
( ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm)
& sdtlseqdt0(xp,xn) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f72]) ).
fof(f115,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f74]) ).
fof(f118,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f117]) ).
fof(f119,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,[],[f93]) ).
fof(f120,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,[],[f119]) ).
fof(f121,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))],[f120]) ).
fof(f124,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f125,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK2(X0)
& sK2(X0) != X0
& aNaturalNumber0(sK2(X0))
& doDivides0(sK2(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f126]) ).
fof(f129,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f133,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f136,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f137,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f54]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f141,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f143,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f60]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sz00 = X1
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f70]) ).
fof(f153,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f154,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f155,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f157,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f158,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f163,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| X0 != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f164,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| X0 = X1
| sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f168,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,[],[f85]) ).
fof(f175,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f178,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f183,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f187,plain,
! [X2,X0] :
( ~ isPrime0(X0)
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0)
| sz10 = X2
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f189,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f197,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f198,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f199,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0)
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f201,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f202,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f203,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f113]) ).
fof(f204,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f113]) ).
fof(f205,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f113]) ).
fof(f206,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f155]) ).
fof(f207,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f158]) ).
fof(f208,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f157]) ).
fof(f210,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f163]) ).
fof(f212,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f178]) ).
fof(f216,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f189]) ).
fof(f218,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f227,definition,
( spl4_3
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f228,plain,
( ~ aNaturalNumber0(sz00)
| spl4_3 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,definition,
( spl4_4
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f231,plain,
( ~ isPrime0(sz00)
| spl4_4 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f216,f230,f227]) ).
fof(f242,definition,
( spl4_6
<=> xn = xp ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f243,plain,
( xn = xp
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f245,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sdtasdt0(X0,X1)) ),
inference(resolution,[],[f133,f212]) ).
fof(f246,plain,
! [X0,X1] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0)) ),
inference(resolution,[],[f164,f175]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0)) ),
inference(forward_subsumption_resolution,[],[f251,f165]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| ~ aNaturalNumber0(sdtpldt0(X2,X0)) ),
inference(forward_subsumption_resolution,[],[f252,f132]) ).
fof(f254,plain,
! [X2,X0,X1] :
( iLess0(sdtpldt0(X1,X0),sdtpldt0(X2,X0))
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f253,f132]) ).
fof(f255,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| doDivides0(xp,X1)
| doDivides0(xp,X0)
| ~ isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f254,f200]) ).
fof(f256,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| doDivides0(xp,X1)
| doDivides0(xp,X0)
| ~ isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f257,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| doDivides0(xp,X1)
| doDivides0(xp,X0)
| ~ isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f256,f132]) ).
fof(f258,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| doDivides0(xp,X1)
| doDivides0(xp,X0)
| ~ isPrime0(xp)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f257,f197]) ).
fof(f259,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| doDivides0(xp,X1)
| doDivides0(xp,X0)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f258,f202]) ).
fof(f261,definition,
( spl4_7
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f264,definition,
( spl4_8
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xp,sdtasdt0(X0,X1))
| doDivides0(xp,X0)
| doDivides0(xp,X1)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f265,plain,
( ! [X0,X1] :
( ~ doDivides0(xp,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(xn,xm)
| doDivides0(xp,X0)
| doDivides0(xp,X1)
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(xn,xm)) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f259,f264,f261]) ).
fof(f278,definition,
( spl4_9
<=> doDivides0(xp,xp) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f279,plain,
( doDivides0(xp,xp)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f284,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f206,f132]) ).
fof(f285,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f353,plain,
! [X0] :
( xp = X0
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xp)
| sz10 = X0
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f187,f202]) ).
fof(f354,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(forward_subsumption_resolution,[],[f353,f197]) ).
fof(f360,plain,
sz00 = sdtasdt0(xn,sz00),
inference(resolution,[],[f143,f199]) ).
fof(f456,definition,
( spl4_19
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f457,plain,
( sz00 = xm
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f485,plain,
( doDivides0(xp,sdtasdt0(xn,sz00))
| ~ spl4_19 ),
inference(superposition,[],[f201,f457]) ).
fof(f486,plain,
( ~ doDivides0(xp,sz00)
| ~ spl4_19 ),
inference(superposition,[],[f204,f457]) ).
fof(f487,plain,
( doDivides0(xp,sz00)
| ~ spl4_19 ),
inference(forward_demodulation,[],[f485,f360]) ).
fof(f491,plain,
( $false
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f487,f486]) ).
fof(f492,plain,
~ spl4_19,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f521,definition,
( spl4_26
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).
fof(f522,plain,
( sz00 = xp
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f550,plain,
( isPrime0(sz00)
| ~ spl4_26 ),
inference(superposition,[],[f202,f522]) ).
fof(f561,plain,
( $false
| spl4_4
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f550,f231]) ).
fof(f562,plain,
( spl4_4
| ~ spl4_26 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f567,plain,
xn = sdtasdt0(xn,sz10),
inference(resolution,[],[f141,f199]) ).
fof(f568,plain,
xm = sdtasdt0(xm,sz10),
inference(resolution,[],[f141,f198]) ).
fof(f569,plain,
xp = sdtasdt0(xp,sz10),
inference(resolution,[],[f141,f197]) ).
fof(f578,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f246,f569]) ).
fof(f643,plain,
( $false
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f228,f129]) ).
fof(f644,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f652,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f246,f568]) ).
fof(f671,plain,
( doDivides0(xm,xm)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f652,f131]) ).
fof(f685,plain,
doDivides0(xm,xm),
inference(forward_subsumption_resolution,[],[f671,f198]) ).
fof(f803,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(X0,xn) ),
inference(resolution,[],[f134,f199]) ).
fof(f804,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) = sdtpldt0(X0,xm) ),
inference(resolution,[],[f134,f198]) ).
fof(f864,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f578,f131]) ).
fof(f868,plain,
doDivides0(xp,xp),
inference(forward_subsumption_resolution,[],[f864,f197]) ).
fof(f870,plain,
spl4_9,
inference(avatar_split_clause,[],[f868,f278]) ).
fof(f887,definition,
( spl4_57
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_57])],[avatar_definition]) ).
fof(f888,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_57 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f894,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_57 ),
inference(resolution,[],[f888,f133]) ).
fof(f896,plain,
( ~ aNaturalNumber0(xm)
| spl4_57 ),
inference(forward_subsumption_resolution,[],[f894,f199]) ).
fof(f897,plain,
( $false
| spl4_57 ),
inference(forward_subsumption_resolution,[],[f896,f198]) ).
fof(f898,plain,
spl4_57,
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f945,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f137,f131]) ).
fof(f949,plain,
xm = sdtpldt0(xm,sz00),
inference(resolution,[],[f137,f198]) ).
fof(f950,plain,
xp = sdtpldt0(xp,sz00),
inference(resolution,[],[f137,f197]) ).
fof(f1130,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X2)
| sz00 = X1
| X0 = X3
| ~ sdtlseqdt0(X0,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) ),
inference(resolution,[],[f161,f168]) ).
fof(f1137,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),X2)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),X2)
| ~ aNaturalNumber0(sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X2)
| sz00 = X1
| X0 = X3
| ~ sdtlseqdt0(X0,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X3) ),
inference(forward_subsumption_resolution,[],[f1130,f133]) ).
fof(f1144,plain,
! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),X2)
| ~ aNaturalNumber0(X2)
| sz00 = X1
| X0 = X3
| ~ sdtlseqdt0(X0,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[],[f1137,f133]) ).
fof(f1179,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(X0,xm) ),
inference(resolution,[],[f138,f198]) ).
fof(f1183,plain,
sdtasdt0(xm,sz10) = sdtasdt0(sz10,xm),
inference(resolution,[],[f1179,f131]) ).
fof(f1187,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f1179,f199]) ).
fof(f1189,plain,
sdtasdt0(xm,xp) = sdtasdt0(xp,xm),
inference(resolution,[],[f1179,f197]) ).
fof(f1191,plain,
xm = sdtasdt0(sz10,xm),
inference(forward_demodulation,[],[f1183,f568]) ).
fof(f1510,definition,
( spl4_105
<=> sz10 = xm ),
introduced(definition,[new_symbols(definition,[spl4_105])],[avatar_definition]) ).
fof(f1511,plain,
( sz10 = xm
| ~ spl4_105 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1524,plain,
( xn = sdtpldt0(xp,sK0(xp,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f153,f203]) ).
fof(f1527,plain,
( xn = sdtpldt0(xp,sK0(xp,xn))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1524,f197]) ).
fof(f1535,plain,
xn = sdtpldt0(xp,sK0(xp,xn)),
inference(forward_subsumption_resolution,[],[f1527,f199]) ).
fof(f1543,plain,
! [X0] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xp,xn)))
| ~ aNaturalNumber0(sK0(xp,xn))
| xp = X0
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f164,f1535]) ).
fof(f1550,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| sK0(xp,xn) = sdtmndt0(xn,xp) ),
inference(superposition,[],[f207,f1535]) ).
fof(f1571,plain,
( ~ aNaturalNumber0(sK0(xp,xn))
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| sK0(xp,xn) = sdtmndt0(xn,xp) ),
inference(forward_subsumption_resolution,[],[f1550,f199]) ).
fof(f1577,plain,
! [X0] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xp,xn)))
| ~ aNaturalNumber0(sK0(xp,xn))
| xp = X0
| ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1543,f197]) ).
fof(f1580,definition,
( spl4_107
<=> aNaturalNumber0(sK0(xp,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_107])],[avatar_definition]) ).
fof(f1581,plain,
( ~ aNaturalNumber0(sK0(xp,xn))
| spl4_107 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1618,plain,
( ~ aNaturalNumber0(sK0(xp,xn))
| ~ aNaturalNumber0(xp)
| sK0(xp,xn) = sdtmndt0(xn,xp) ),
inference(forward_subsumption_resolution,[],[f1571,f203]) ).
fof(f1640,definition,
( spl4_122
<=> ! [X0] :
( sdtlseqdt0(xn,sdtpldt0(X0,sK0(xp,xn)))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(xp,X0)
| xp = X0 ) ),
introduced(definition,[new_symbols(definition,[spl4_122])],[avatar_definition]) ).
fof(f1641,plain,
( ! [X0] :
( ~ sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xn,sdtpldt0(X0,sK0(xp,xn)))
| xp = X0 )
| ~ spl4_122 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1642,plain,
( ~ spl4_107
| spl4_122 ),
inference(avatar_split_clause,[],[f1577,f1640,f1580]) ).
fof(f1647,plain,
( ~ aNaturalNumber0(sK0(xp,xn))
| sK0(xp,xn) = sdtmndt0(xn,xp) ),
inference(forward_subsumption_resolution,[],[f1618,f197]) ).
fof(f1649,definition,
( spl4_124
<=> sK0(xp,xn) = sdtmndt0(xn,xp) ),
introduced(definition,[new_symbols(definition,[spl4_124])],[avatar_definition]) ).
fof(f1650,plain,
( sK0(xp,xn) = sdtmndt0(xn,xp)
| ~ spl4_124 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1651,plain,
( spl4_124
| ~ spl4_107 ),
inference(avatar_split_clause,[],[f1647,f1580,f1649]) ).
fof(f1653,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl4_107 ),
inference(resolution,[],[f1581,f154]) ).
fof(f1655,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl4_107 ),
inference(forward_subsumption_resolution,[],[f1653,f203]) ).
fof(f1656,plain,
( ~ aNaturalNumber0(xn)
| spl4_107 ),
inference(forward_subsumption_resolution,[],[f1655,f197]) ).
fof(f1657,plain,
( $false
| spl4_107 ),
inference(forward_subsumption_resolution,[],[f1656,f199]) ).
fof(f1658,plain,
spl4_107,
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1659,plain,
( xn = sdtpldt0(xp,sdtmndt0(xn,xp))
| ~ spl4_124 ),
inference(superposition,[],[f1535,f1650]) ).
fof(f1667,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtmndt0(xn,xp)) )
| ~ spl4_124 ),
inference(superposition,[],[f183,f1659]) ).
fof(f1693,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(xn,xp)) )
| ~ spl4_124 ),
inference(forward_subsumption_resolution,[],[f1667,f197]) ).
fof(f1699,definition,
( spl4_125
<=> aNaturalNumber0(sdtmndt0(xn,xp)) ),
introduced(definition,[new_symbols(definition,[spl4_125])],[avatar_definition]) ).
fof(f1700,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl4_125 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f1746,definition,
( spl4_137
<=> ! [X0] :
( doDivides0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtmndt0(xn,xp))
| ~ doDivides0(X0,xp) ) ),
introduced(definition,[new_symbols(definition,[spl4_137])],[avatar_definition]) ).
fof(f1747,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(X0)
| doDivides0(X0,xn)
| ~ doDivides0(X0,xp) )
| ~ spl4_137 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1748,plain,
( ~ spl4_125
| spl4_137
| ~ spl4_124 ),
inference(avatar_split_clause,[],[f1693,f1649,f1746,f1699]) ).
fof(f1766,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl4_125 ),
inference(resolution,[],[f1700,f208]) ).
fof(f1768,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl4_125 ),
inference(forward_subsumption_resolution,[],[f1766,f203]) ).
fof(f1769,plain,
( ~ aNaturalNumber0(xn)
| spl4_125 ),
inference(forward_subsumption_resolution,[],[f1768,f197]) ).
fof(f1770,plain,
( $false
| spl4_125 ),
inference(forward_subsumption_resolution,[],[f1769,f199]) ).
fof(f1771,plain,
spl4_125,
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1825,plain,
( doDivides0(xp,sdtasdt0(xn,sz10))
| ~ spl4_105 ),
inference(superposition,[],[f201,f1511]) ).
fof(f1846,plain,
( doDivides0(xp,xn)
| ~ spl4_105 ),
inference(forward_demodulation,[],[f1825,f567]) ).
fof(f1848,plain,
( $false
| ~ spl4_105 ),
inference(forward_subsumption_resolution,[],[f1846,f205]) ).
fof(f1849,plain,
~ spl4_105,
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1865,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(resolution,[],[f804,f199]) ).
fof(f1867,plain,
sdtpldt0(xm,xp) = sdtpldt0(xp,xm),
inference(resolution,[],[f804,f197]) ).
fof(f2369,plain,
( ~ aNaturalNumber0(xn)
| sdtlseqdt0(xn,sdtpldt0(xn,sK0(xp,xn)))
| xn = xp
| ~ spl4_122 ),
inference(resolution,[],[f1641,f203]) ).
fof(f2376,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sK0(xp,xn)))
| xn = xp
| ~ spl4_122 ),
inference(forward_subsumption_resolution,[],[f2369,f199]) ).
fof(f2383,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| xn = xp
| ~ spl4_122
| ~ spl4_124 ),
inference(forward_demodulation,[],[f2376,f1650]) ).
fof(f2385,definition,
( spl4_184
<=> sdtlseqdt0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))) ),
introduced(definition,[new_symbols(definition,[spl4_184])],[avatar_definition]) ).
fof(f2386,plain,
( sdtlseqdt0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184 ),
inference(avatar_component_clause,[],[f2385]) ).
fof(f2387,plain,
( spl4_6
| spl4_184
| ~ spl4_122
| ~ spl4_124 ),
inference(avatar_split_clause,[],[f2383,f1649,f1640,f2385,f242]) ).
fof(f2417,plain,
( ~ doDivides0(xp,xp)
| ~ spl4_6 ),
inference(superposition,[],[f205,f243]) ).
fof(f2439,plain,
( $false
| ~ spl4_6
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f2417,f279]) ).
fof(f2440,plain,
( ~ spl4_6
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2453,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,xn)
| xn = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) != sdtpldt0(X0,xn) ),
inference(resolution,[],[f167,f199]) ).
fof(f2457,plain,
! [X0] :
( xn = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sdtpldt0(X0,xp) != sdtpldt0(X0,xn) ),
inference(resolution,[],[f2453,f203]) ).
fof(f2458,plain,
! [X0] :
( xn = xp
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) != sdtpldt0(X0,xn) ),
inference(forward_subsumption_resolution,[],[f2457,f197]) ).
fof(f2460,definition,
( spl4_186
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xp) != sdtpldt0(X0,xn) ) ),
introduced(definition,[new_symbols(definition,[spl4_186])],[avatar_definition]) ).
fof(f2461,plain,
( ! [X0] :
( sdtpldt0(X0,xp) != sdtpldt0(X0,xn)
| ~ aNaturalNumber0(X0) )
| ~ spl4_186 ),
inference(avatar_component_clause,[],[f2460]) ).
fof(f2462,plain,
( spl4_186
| spl4_6 ),
inference(avatar_split_clause,[],[f2458,f242,f2460]) ).
fof(f2482,plain,
( sdtpldt0(xn,sdtmndt0(xn,xp)) = sdtpldt0(xn,sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184 ),
inference(resolution,[],[f2386,f153]) ).
fof(f2489,plain,
( sdtpldt0(xn,sdtmndt0(xn,xp)) = sdtpldt0(xn,sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184 ),
inference(forward_subsumption_resolution,[],[f2482,f199]) ).
fof(f2492,definition,
( spl4_189
<=> aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp))) ),
introduced(definition,[new_symbols(definition,[spl4_189])],[avatar_definition]) ).
fof(f2493,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| spl4_189 ),
inference(avatar_component_clause,[],[f2492]) ).
fof(f2514,definition,
( spl4_195
<=> sdtpldt0(xn,sdtmndt0(xn,xp)) = sdtpldt0(xn,sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))) ),
introduced(definition,[new_symbols(definition,[spl4_195])],[avatar_definition]) ).
fof(f2515,plain,
( sdtpldt0(xn,sdtmndt0(xn,xp)) = sdtpldt0(xn,sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))))
| ~ spl4_195 ),
inference(avatar_component_clause,[],[f2514]) ).
fof(f2516,plain,
( ~ spl4_189
| spl4_195
| ~ spl4_184 ),
inference(avatar_split_clause,[],[f2489,f2385,f2514,f2492]) ).
fof(f2521,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl4_189 ),
inference(resolution,[],[f2493,f132]) ).
fof(f2522,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl4_189 ),
inference(forward_subsumption_resolution,[],[f2521,f199]) ).
fof(f2523,plain,
( ~ spl4_125
| spl4_189 ),
inference(avatar_split_clause,[],[f2522,f2492,f1699]) ).
fof(f2634,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f136,f199]) ).
fof(f2636,plain,
xp = sdtpldt0(sz00,xp),
inference(resolution,[],[f136,f197]) ).
fof(f2703,plain,
( xn != sdtpldt0(sz00,xp)
| ~ aNaturalNumber0(sz00)
| ~ spl4_186 ),
inference(superposition,[],[f2461,f2634]) ).
fof(f2745,plain,
( xn != sdtpldt0(sz00,xp)
| ~ spl4_186 ),
inference(forward_subsumption_resolution,[],[f2703,f129]) ).
fof(f2764,plain,
( xn != xp
| ~ spl4_186 ),
inference(forward_demodulation,[],[f2745,f2636]) ).
fof(f2825,plain,
sdtpldt0(xp,xn) = sdtpldt0(xn,xp),
inference(resolution,[],[f803,f197]) ).
fof(f2836,plain,
! [X0] :
( ~ doDivides0(X0,sdtpldt0(xp,xm))
| ~ doDivides0(X0,xm)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f184,f1867]) ).
fof(f2844,plain,
( sdtlseqdt0(xm,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f285,f1867]) ).
fof(f2857,plain,
( sdtlseqdt0(xm,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f2844,f198]) ).
fof(f2865,plain,
! [X0] :
( ~ doDivides0(X0,sdtpldt0(xp,xm))
| ~ doDivides0(X0,xm)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f2836,f198]) ).
fof(f2876,plain,
sdtlseqdt0(xm,sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[],[f2857,f197]) ).
fof(f2884,plain,
! [X0] :
( ~ doDivides0(X0,sdtpldt0(xp,xm))
| ~ doDivides0(X0,xm)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2865,f197]) ).
fof(f2890,definition,
( spl4_213
<=> xm = sdtpldt0(xp,xm) ),
introduced(definition,[new_symbols(definition,[spl4_213])],[avatar_definition]) ).
fof(f2891,plain,
( xm = sdtpldt0(xp,xm)
| ~ spl4_213 ),
inference(avatar_component_clause,[],[f2890]) ).
fof(f2959,definition,
( spl4_215
<=> xm = xp ),
introduced(definition,[new_symbols(definition,[spl4_215])],[avatar_definition]) ).
fof(f2960,plain,
( xm = xp
| ~ spl4_215 ),
inference(avatar_component_clause,[],[f2959]) ).
fof(f3269,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X2,xn)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| xn = X2
| ~ sdtlseqdt0(sdtasdt0(xn,X0),X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(sdtasdt0(X2,X0),X1) ),
inference(resolution,[],[f1144,f199]) ).
fof(f3299,definition,
( spl4_243
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_243])],[avatar_definition]) ).
fof(f3300,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| spl4_243 ),
inference(avatar_component_clause,[],[f3299]) ).
fof(f3495,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X1
| xn = xp
| ~ sdtlseqdt0(sdtasdt0(xn,X1),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(sdtasdt0(xp,X1),X0) ),
inference(resolution,[],[f3269,f203]) ).
fof(f3496,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ sdtlseqdt0(sdtasdt0(xn,X1),X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(sdtasdt0(xp,X1),X0) )
| ~ spl4_186 ),
inference(forward_subsumption_resolution,[],[f3495,f2764]) ).
fof(f3498,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(xn,X1),X0)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(sdtasdt0(xp,X1),X0) )
| ~ spl4_186 ),
inference(forward_subsumption_resolution,[],[f3496,f197]) ).
fof(f4216,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f4234,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| ~ spl4_57 ),
inference(resolution,[],[f4216,f218]) ).
fof(f4577,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl4_243 ),
inference(resolution,[],[f3300,f133]) ).
fof(f4579,plain,
( ~ aNaturalNumber0(xm)
| spl4_243 ),
inference(forward_subsumption_resolution,[],[f4577,f197]) ).
fof(f4580,plain,
( $false
| spl4_243 ),
inference(forward_subsumption_resolution,[],[f4579,f198]) ).
fof(f4581,plain,
spl4_243,
inference(avatar_contradiction_clause,[],[f4580]) ).
fof(f4876,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xp)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xp)) ),
inference(resolution,[],[f145,f197]) ).
fof(f5053,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) != sdtpldt0(xn,X1)
| xn = X0 ),
inference(resolution,[],[f146,f199]) ).
fof(f5054,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) != sdtpldt0(xm,X1)
| xm = X0 ),
inference(resolution,[],[f146,f198]) ).
fof(f5055,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) != sdtpldt0(xp,X1)
| xp = X0 ),
inference(resolution,[],[f146,f197]) ).
fof(f5058,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(sz10,X0)
| sz10 = xm ),
inference(resolution,[],[f5054,f131]) ).
fof(f5065,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xp,X0) != sdtpldt0(xm,X0)
| xm = xp ),
inference(resolution,[],[f5054,f197]) ).
fof(f5068,definition,
( spl4_417
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xp,X0) != sdtpldt0(xm,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_417])],[avatar_definition]) ).
fof(f5069,plain,
( ! [X0] :
( sdtpldt0(xp,X0) != sdtpldt0(xm,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_417 ),
inference(avatar_component_clause,[],[f5068]) ).
fof(f5070,plain,
( spl4_215
| spl4_417 ),
inference(avatar_split_clause,[],[f5065,f5068,f2959]) ).
fof(f5080,definition,
( spl4_420
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,X0) != sdtpldt0(sz10,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_420])],[avatar_definition]) ).
fof(f5081,plain,
( ! [X0] :
( sdtpldt0(xm,X0) != sdtpldt0(sz10,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_420 ),
inference(avatar_component_clause,[],[f5080]) ).
fof(f5082,plain,
( spl4_105
| spl4_420 ),
inference(avatar_split_clause,[],[f5058,f5080,f1510]) ).
fof(f5093,plain,
( ~ doDivides0(xp,xp)
| ~ spl4_215 ),
inference(superposition,[],[f204,f2960]) ).
fof(f5159,plain,
( $false
| ~ spl4_9
| ~ spl4_215 ),
inference(forward_subsumption_resolution,[],[f5093,f279]) ).
fof(f5160,plain,
( ~ spl4_9
| ~ spl4_215 ),
inference(avatar_contradiction_clause,[],[f5159]) ).
fof(f5238,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) != sdtpldt0(xp,X0)
| sz00 = xp ),
inference(resolution,[],[f5055,f129]) ).
fof(f5255,definition,
( spl4_423
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) != sdtpldt0(xp,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_423])],[avatar_definition]) ).
fof(f5256,plain,
( ! [X0] :
( sdtpldt0(sz00,X0) != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_423 ),
inference(avatar_component_clause,[],[f5255]) ).
fof(f5257,plain,
( spl4_26
| spl4_423 ),
inference(avatar_split_clause,[],[f5238,f5255,f521]) ).
fof(f5724,plain,
( xm != sdtpldt0(xp,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_417 ),
inference(superposition,[],[f5069,f949]) ).
fof(f5729,plain,
( xm != sdtpldt0(xp,sz00)
| ~ spl4_417 ),
inference(forward_subsumption_resolution,[],[f5724,f129]) ).
fof(f5730,plain,
( xm != xp
| ~ spl4_417 ),
inference(forward_demodulation,[],[f5729,f950]) ).
fof(f5750,plain,
! [X2,X3,X0,X1] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sK0(X2,X3) = X1
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X1) != sdtpldt0(X0,sK0(X2,X3)) ),
inference(resolution,[],[f147,f154]) ).
fof(f6066,plain,
! [X0] :
( sz00 = xm
| sz00 != sdtasdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| sz00 = X0 ),
inference(resolution,[],[f152,f198]) ).
fof(f6074,definition,
( spl4_494
<=> ! [X0] :
( sz00 != sdtasdt0(X0,xm)
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_494])],[avatar_definition]) ).
fof(f6075,plain,
( ! [X0] :
( sz00 != sdtasdt0(X0,xm)
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl4_494 ),
inference(avatar_component_clause,[],[f6074]) ).
fof(f6076,plain,
( spl4_494
| spl4_19 ),
inference(avatar_split_clause,[],[f6066,f456,f6074]) ).
fof(f6086,plain,
( sz00 != xm
| sz00 = sz10
| ~ aNaturalNumber0(sz10)
| ~ spl4_494 ),
inference(superposition,[],[f6075,f1191]) ).
fof(f6087,plain,
( sz00 != xm
| ~ aNaturalNumber0(sz10)
| ~ spl4_494 ),
inference(forward_subsumption_resolution,[],[f6086,f130]) ).
fof(f6088,plain,
( sz00 != xm
| ~ spl4_494 ),
inference(forward_subsumption_resolution,[],[f6087,f131]) ).
fof(f6781,definition,
( spl4_526
<=> doDivides0(xp,sdtmndt0(xn,xp)) ),
introduced(definition,[new_symbols(definition,[spl4_526])],[avatar_definition]) ).
fof(f6782,plain,
( doDivides0(xp,sdtmndt0(xn,xp))
| ~ spl4_526 ),
inference(avatar_component_clause,[],[f6781]) ).
fof(f8134,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(xn,xp)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xp)) ),
inference(resolution,[],[f4876,f199]) ).
fof(f8145,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(xp,xn)) = sdtpldt0(sdtasdt0(X0,xn),sdtasdt0(X0,xp)) ),
inference(forward_demodulation,[],[f8134,f2825]) ).
fof(f8195,definition,
( spl4_648
<=> doDivides0(xm,xp) ),
introduced(definition,[new_symbols(definition,[spl4_648])],[avatar_definition]) ).
fof(f8196,plain,
( doDivides0(xm,xp)
| ~ spl4_648 ),
inference(avatar_component_clause,[],[f8195]) ).
fof(f8266,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))))
| ~ sdtlseqdt0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_195 ),
inference(superposition,[],[f207,f2515]) ).
fof(f8287,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ sdtlseqdt0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_195 ),
inference(forward_subsumption_resolution,[],[f8266,f154]) ).
fof(f8347,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184
| ~ spl4_195 ),
inference(forward_subsumption_resolution,[],[f8287,f2386]) ).
fof(f8376,plain,
( aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_189 ),
inference(avatar_component_clause,[],[f2492]) ).
fof(f8378,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184
| ~ spl4_195 ),
inference(forward_subsumption_resolution,[],[f8347,f199]) ).
fof(f8380,definition,
( spl4_676
<=> sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))) ),
introduced(definition,[new_symbols(definition,[spl4_676])],[avatar_definition]) ).
fof(f8381,plain,
( sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_676 ),
inference(avatar_component_clause,[],[f8380]) ).
fof(f8382,plain,
( spl4_676
| ~ spl4_189
| ~ spl4_184
| ~ spl4_195 ),
inference(avatar_split_clause,[],[f8378,f2514,f2385,f2492,f8380]) ).
fof(f9615,plain,
( xm != sdtpldt0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ spl4_420 ),
inference(superposition,[],[f5081,f949]) ).
fof(f9627,plain,
( xm != sdtpldt0(sz10,sz00)
| ~ spl4_420 ),
inference(forward_subsumption_resolution,[],[f9615,f129]) ).
fof(f9629,plain,
( sz10 != xm
| ~ spl4_420 ),
inference(forward_demodulation,[],[f9627,f945]) ).
fof(f9696,definition,
( spl4_793
<=> aNaturalNumber0(sdtpldt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_793])],[avatar_definition]) ).
fof(f9697,plain,
( ~ aNaturalNumber0(sdtpldt0(xp,xm))
| spl4_793 ),
inference(avatar_component_clause,[],[f9696]) ).
fof(f9706,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl4_793 ),
inference(resolution,[],[f9697,f132]) ).
fof(f9708,plain,
( ~ aNaturalNumber0(xm)
| spl4_793 ),
inference(forward_subsumption_resolution,[],[f9706,f197]) ).
fof(f9709,plain,
( $false
| spl4_793 ),
inference(forward_subsumption_resolution,[],[f9708,f198]) ).
fof(f9710,plain,
spl4_793,
inference(avatar_contradiction_clause,[],[f9709]) ).
fof(f9753,plain,
( sz00 = xm
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl4_57
| ~ spl4_186 ),
inference(resolution,[],[f4234,f3498]) ).
fof(f9770,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494 ),
inference(forward_subsumption_resolution,[],[f9753,f6088]) ).
fof(f9771,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494 ),
inference(forward_subsumption_resolution,[],[f9770,f4216]) ).
fof(f9772,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494 ),
inference(forward_subsumption_resolution,[],[f9771,f198]) ).
fof(f9777,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494 ),
inference(resolution,[],[f9772,f153]) ).
fof(f9784,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494 ),
inference(forward_subsumption_resolution,[],[f9777,f4216]) ).
fof(f9793,definition,
( spl4_797
<=> sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))) ),
introduced(definition,[new_symbols(definition,[spl4_797])],[avatar_definition]) ).
fof(f9794,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ spl4_797 ),
inference(avatar_component_clause,[],[f9793]) ).
fof(f9795,plain,
( ~ spl4_243
| spl4_797
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494 ),
inference(avatar_split_clause,[],[f9784,f6074,f2460,f887,f9793,f3299]) ).
fof(f10687,definition,
( spl4_863
<=> aNaturalNumber0(sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn)) ),
introduced(definition,[new_symbols(definition,[spl4_863])],[avatar_definition]) ).
fof(f10688,plain,
( ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn))
| spl4_863 ),
inference(avatar_component_clause,[],[f10687]) ).
fof(f14058,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl4_243 ),
inference(avatar_component_clause,[],[f3299]) ).
fof(f14077,definition,
( spl4_1110
<=> doDivides0(xp,sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_1110])],[avatar_definition]) ).
fof(f18100,plain,
( ! [X0] :
( ~ doDivides0(X0,xm)
| ~ doDivides0(X0,xm)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl4_213 ),
inference(superposition,[],[f2884,f2891]) ).
fof(f18130,plain,
( ! [X0] :
( ~ doDivides0(X0,xm)
| doDivides0(X0,xp)
| ~ aNaturalNumber0(X0) )
| ~ spl4_213 ),
inference(duplicate_literal_removal,[],[f18100]) ).
fof(f18163,plain,
( doDivides0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_213 ),
inference(resolution,[],[f18130,f685]) ).
fof(f18166,plain,
( doDivides0(xm,xp)
| ~ spl4_213 ),
inference(forward_subsumption_resolution,[],[f18163,f198]) ).
fof(f18167,plain,
( spl4_648
| ~ spl4_213 ),
inference(avatar_split_clause,[],[f18166,f2890,f8195]) ).
fof(f18175,plain,
( ~ aNaturalNumber0(xm)
| xm = xp
| sz10 = xm
| ~ spl4_648 ),
inference(resolution,[],[f8196,f354]) ).
fof(f18183,plain,
( xm = xp
| sz10 = xm
| ~ spl4_648 ),
inference(forward_subsumption_resolution,[],[f18175,f198]) ).
fof(f18189,plain,
( sz10 = xm
| ~ spl4_417
| ~ spl4_648 ),
inference(forward_subsumption_resolution,[],[f18183,f5730]) ).
fof(f18192,plain,
( $false
| ~ spl4_417
| ~ spl4_420
| ~ spl4_648 ),
inference(forward_subsumption_resolution,[],[f18189,f9629]) ).
fof(f18193,plain,
( ~ spl4_417
| ~ spl4_420
| ~ spl4_648 ),
inference(avatar_contradiction_clause,[],[f18192]) ).
fof(f24941,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X2,xn)
| ~ aNaturalNumber0(X1)
| sK0(X2,xn) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X1) != sdtpldt0(X0,sK0(X2,xn)) ),
inference(resolution,[],[f5750,f199]) ).
fof(f26771,plain,
( xn != sdtpldt0(sz00,sK0(xp,xn))
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ spl4_423 ),
inference(superposition,[],[f5256,f1535]) ).
fof(f26774,plain,
( xn != sdtpldt0(sz00,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(sK0(xp,xn))
| ~ spl4_124
| ~ spl4_423 ),
inference(forward_demodulation,[],[f26771,f1650]) ).
fof(f26780,definition,
( spl4_2037
<=> xn = sdtpldt0(sz00,sdtmndt0(xn,xp)) ),
introduced(definition,[new_symbols(definition,[spl4_2037])],[avatar_definition]) ).
fof(f26781,plain,
( xn != sdtpldt0(sz00,sdtmndt0(xn,xp))
| spl4_2037 ),
inference(avatar_component_clause,[],[f26780]) ).
fof(f26785,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| xn != sdtpldt0(sz00,sdtmndt0(xn,xp))
| ~ spl4_124
| ~ spl4_423 ),
inference(forward_demodulation,[],[f26774,f1650]) ).
fof(f26787,plain,
( ~ spl4_2037
| ~ spl4_125
| ~ spl4_124
| ~ spl4_423 ),
inference(avatar_split_clause,[],[f26785,f5255,f1649,f1699,f26780]) ).
fof(f28090,plain,
sdtasdt0(xm,sdtpldt0(xp,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xm,xp)),
inference(resolution,[],[f8145,f198]) ).
fof(f28113,plain,
sdtasdt0(xm,sdtpldt0(xp,xn)) = sdtpldt0(sdtasdt0(xm,xn),sdtasdt0(xp,xm)),
inference(forward_demodulation,[],[f28090,f1189]) ).
fof(f28132,plain,
sdtasdt0(xm,sdtpldt0(xp,xn)) = sdtpldt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(forward_demodulation,[],[f28113,f1187]) ).
fof(f49848,plain,
( doDivides0(xp,sdtasdt0(xp,xm))
| ~ spl4_1110 ),
inference(avatar_component_clause,[],[f14077]) ).
fof(f54221,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sK0(xp,xn) = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| sdtpldt0(X1,X0) != sdtpldt0(X1,sK0(xp,xn)) ),
inference(resolution,[],[f24941,f203]) ).
fof(f54228,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sK0(xp,xn) = X0
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) != sdtpldt0(X1,sK0(xp,xn)) ),
inference(forward_subsumption_resolution,[],[f54221,f197]) ).
fof(f54236,plain,
( ! [X0,X1] :
( sdtmndt0(xn,xp) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,X0) != sdtpldt0(X1,sK0(xp,xn)) )
| ~ spl4_124 ),
inference(forward_demodulation,[],[f54228,f1650]) ).
fof(f54244,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sdtmndt0(xn,xp) = X0
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X1,sdtmndt0(xn,xp)) )
| ~ spl4_124 ),
inference(forward_demodulation,[],[f54236,f1650]) ).
fof(f54268,plain,
( ! [X0] :
( sdtpldt0(xn,X0) != sdtpldt0(xn,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(X0)
| sdtmndt0(xn,xp) = X0 )
| ~ spl4_124 ),
inference(resolution,[],[f54244,f199]) ).
fof(f54335,plain,
( sdtpldt0(xn,sdtmndt0(xn,xp)) != sdtpldt0(xn,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))))
| sdtmndt0(xn,xp) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_124
| ~ spl4_195 ),
inference(superposition,[],[f54268,f2515]) ).
fof(f54341,plain,
( ~ aNaturalNumber0(sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp))))
| sdtmndt0(xn,xp) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_124
| ~ spl4_195 ),
inference(trivial_inequality_removal,[],[f54335]) ).
fof(f54345,plain,
( ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn))
| sdtmndt0(xn,xp) = sK0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_124
| ~ spl4_195
| ~ spl4_676 ),
inference(forward_demodulation,[],[f54341,f8381]) ).
fof(f54372,definition,
( spl4_3497
<=> xn = sdtmndt0(xn,xp) ),
introduced(definition,[new_symbols(definition,[spl4_3497])],[avatar_definition]) ).
fof(f54373,plain,
( xn = sdtmndt0(xn,xp)
| ~ spl4_3497 ),
inference(avatar_component_clause,[],[f54372]) ).
fof(f56331,plain,
( ~ sdtlseqdt0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| spl4_863 ),
inference(resolution,[],[f10688,f208]) ).
fof(f56333,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184
| spl4_863 ),
inference(forward_subsumption_resolution,[],[f56331,f2386]) ).
fof(f56334,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184
| spl4_863 ),
inference(forward_subsumption_resolution,[],[f56333,f199]) ).
fof(f56335,plain,
( $false
| ~ spl4_184
| ~ spl4_189
| spl4_863 ),
inference(forward_subsumption_resolution,[],[f56334,f8376]) ).
fof(f56336,plain,
( ~ spl4_184
| ~ spl4_189
| spl4_863 ),
inference(avatar_contradiction_clause,[],[f56335]) ).
fof(f56353,plain,
( sdtmndt0(xn,xp) = sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn)
| ~ aNaturalNumber0(sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn))
| ~ spl4_124
| ~ spl4_195
| ~ spl4_676 ),
inference(forward_demodulation,[],[f54345,f8381]) ).
fof(f56355,definition,
( spl4_3569
<=> sdtmndt0(xn,xp) = sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn) ),
introduced(definition,[new_symbols(definition,[spl4_3569])],[avatar_definition]) ).
fof(f56356,plain,
( sdtmndt0(xn,xp) = sdtmndt0(sdtpldt0(xn,sdtmndt0(xn,xp)),xn)
| ~ spl4_3569 ),
inference(avatar_component_clause,[],[f56355]) ).
fof(f56357,plain,
( ~ spl4_863
| spl4_3569
| ~ spl4_124
| ~ spl4_195
| ~ spl4_676 ),
inference(avatar_split_clause,[],[f56353,f8380,f2514,f1649,f56355,f10687]) ).
fof(f56359,plain,
( aNaturalNumber0(sdtmndt0(xn,xp))
| ~ sdtlseqdt0(xn,sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_3569 ),
inference(superposition,[],[f208,f56356]) ).
fof(f56360,plain,
( aNaturalNumber0(sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f56359,f2386]) ).
fof(f56362,plain,
( aNaturalNumber0(sdtmndt0(xn,xp))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xp)))
| ~ spl4_184
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f56360,f199]) ).
fof(f56364,plain,
( aNaturalNumber0(sdtmndt0(xn,xp))
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f56362,f8376]) ).
fof(f56367,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtmndt0(xn,xp)) = sdtpldt0(X0,sdtpldt0(X1,sdtmndt0(xn,xp))) )
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56364,f135]) ).
fof(f56368,plain,
( sdtmndt0(xn,xp) = sdtpldt0(sz00,sdtmndt0(xn,xp))
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56364,f136]) ).
fof(f56376,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,sdtmndt0(xn,xp)),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sdtmndt0(xn,xp),X0)) )
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56364,f144]) ).
fof(f56406,plain,
( sdtpldt0(xm,sdtmndt0(xn,xp)) = sdtpldt0(sdtmndt0(xn,xp),xm)
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56364,f804]) ).
fof(f56422,plain,
( sdtasdt0(xm,sdtmndt0(xn,xp)) = sdtasdt0(sdtmndt0(xn,xp),xm)
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56364,f1179]) ).
fof(f56473,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtpldt0(sdtmndt0(xn,xp),X0)
| xn = sdtmndt0(xn,xp) )
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56364,f5053]) ).
fof(f56637,definition,
( spl4_3587
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtpldt0(sdtmndt0(xn,xp),X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_3587])],[avatar_definition]) ).
fof(f56638,plain,
( ! [X0] :
( sdtpldt0(xn,X0) != sdtpldt0(sdtmndt0(xn,xp),X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_3587 ),
inference(avatar_component_clause,[],[f56637]) ).
fof(f56639,plain,
( spl4_3497
| spl4_3587
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(avatar_split_clause,[],[f56473,f56355,f2492,f2385,f56637,f54372]) ).
fof(f57246,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,xp),sdtmndt0(xn,xp)) = sdtpldt0(X0,sdtpldt0(xp,sdtmndt0(xn,xp))) )
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56367,f197]) ).
fof(f57273,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,xp),sdtmndt0(xn,xp)) )
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_demodulation,[],[f57246,f1659]) ).
fof(f57296,plain,
( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xp),sdtmndt0(xn,xp))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f57273,f198]) ).
fof(f57325,plain,
( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xp,xm),sdtmndt0(xn,xp))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_demodulation,[],[f57296,f1867]) ).
fof(f57350,plain,
( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xp,xm),sdtmndt0(xn,xp))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_demodulation,[],[f57325,f1865]) ).
fof(f57380,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(superposition,[],[f132,f57350]) ).
fof(f57381,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| sdtpldt0(xp,xm) = X0
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) )
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(superposition,[],[f164,f57350]) ).
fof(f57421,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| sdtpldt0(xp,xm) = X0
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(xp,xm)) )
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f57381,f56364]) ).
fof(f57422,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xp,xm))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f57380,f56364]) ).
fof(f57503,definition,
( spl4_3641
<=> ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xp,xm))
| sdtpldt0(xp,xm) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl4_3641])],[avatar_definition]) ).
fof(f57504,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(xp,xm))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtpldt0(X0,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| sdtpldt0(xp,xm) = X0 )
| ~ spl4_3641 ),
inference(avatar_component_clause,[],[f57503]) ).
fof(f57505,plain,
( ~ spl4_793
| spl4_3641
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(avatar_split_clause,[],[f57421,f56355,f2492,f2385,f1649,f57503,f9696]) ).
fof(f57507,plain,
( ~ spl4_793
| spl4_7
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(avatar_split_clause,[],[f57422,f56355,f2492,f2385,f1649,f261,f9696]) ).
fof(f65895,plain,
( xn != sdtmndt0(xn,xp)
| ~ spl4_184
| ~ spl4_189
| spl4_2037
| ~ spl4_3569 ),
inference(superposition,[],[f26781,f56368]) ).
fof(f143004,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| xm = sdtpldt0(xp,xm)
| ~ spl4_3641 ),
inference(resolution,[],[f57504,f2876]) ).
fof(f143009,plain,
( sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| xm = sdtpldt0(xp,xm)
| ~ spl4_3641 ),
inference(forward_subsumption_resolution,[],[f143004,f198]) ).
fof(f150107,plain,
( $false
| ~ spl4_184
| ~ spl4_189
| spl4_2037
| ~ spl4_3497
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f54373,f65895]) ).
fof(f150108,plain,
( ~ spl4_184
| ~ spl4_189
| spl4_2037
| ~ spl4_3497
| ~ spl4_3569 ),
inference(avatar_contradiction_clause,[],[f150107]) ).
fof(f153852,plain,
( ~ aNaturalNumber0(xp)
| doDivides0(xp,xn)
| ~ doDivides0(xp,xp)
| ~ spl4_137
| ~ spl4_526 ),
inference(resolution,[],[f6782,f1747]) ).
fof(f153858,plain,
( doDivides0(xp,xn)
| ~ doDivides0(xp,xp)
| ~ spl4_137
| ~ spl4_526 ),
inference(forward_subsumption_resolution,[],[f153852,f197]) ).
fof(f153862,plain,
( ~ doDivides0(xp,xp)
| ~ spl4_137
| ~ spl4_526 ),
inference(forward_subsumption_resolution,[],[f153858,f205]) ).
fof(f153865,plain,
( $false
| ~ spl4_9
| ~ spl4_137
| ~ spl4_526 ),
inference(forward_subsumption_resolution,[],[f153862,f279]) ).
fof(f153866,plain,
( ~ spl4_9
| ~ spl4_137
| ~ spl4_526 ),
inference(avatar_contradiction_clause,[],[f153865]) ).
fof(f194305,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))) )
| ~ spl4_797 ),
inference(superposition,[],[f184,f9794]) ).
fof(f194308,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl4_797 ),
inference(superposition,[],[f207,f9794]) ).
fof(f194334,plain,
( ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl4_57
| ~ spl4_797 ),
inference(forward_subsumption_resolution,[],[f194308,f4216]) ).
fof(f194336,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))) )
| ~ spl4_243
| ~ spl4_797 ),
inference(forward_subsumption_resolution,[],[f194305,f14058]) ).
fof(f194357,plain,
( ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494
| ~ spl4_797 ),
inference(forward_subsumption_resolution,[],[f194334,f9772]) ).
fof(f194380,plain,
( ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| ~ spl4_797 ),
inference(forward_subsumption_resolution,[],[f194357,f14058]) ).
fof(f200728,plain,
! [X0] :
( doDivides0(X0,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[],[f183,f28132]) ).
fof(f200729,plain,
! [X0] :
( ~ doDivides0(X0,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(superposition,[],[f184,f28132]) ).
fof(f200762,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) )
| ~ spl4_57 ),
inference(forward_subsumption_resolution,[],[f200729,f4216]) ).
fof(f200763,plain,
( ! [X0] :
( doDivides0(X0,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) )
| ~ spl4_57 ),
inference(forward_subsumption_resolution,[],[f200728,f4216]) ).
fof(f200793,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_57
| ~ spl4_243 ),
inference(forward_subsumption_resolution,[],[f200762,f14058]) ).
fof(f200794,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| doDivides0(X0,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(X0) )
| ~ spl4_57
| ~ spl4_243 ),
inference(forward_subsumption_resolution,[],[f200763,f14058]) ).
fof(f206125,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(xp,sdtmndt0(xn,xp)),X0) = sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(sdtmndt0(xn,xp),X0)) )
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f56376,f197]) ).
fof(f206172,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(sdtmndt0(xn,xp),X0)) )
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_demodulation,[],[f206125,f1659]) ).
fof(f206237,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(sdtmndt0(xn,xp),xm))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(resolution,[],[f206172,f198]) ).
fof(f206286,plain,
( sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xm,sdtmndt0(xn,xp)))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_demodulation,[],[f206237,f56422]) ).
fof(f252444,plain,
( sdtpldt0(xn,xm) != sdtpldt0(xm,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xm)
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569
| ~ spl4_3587 ),
inference(superposition,[],[f56638,f56406]) ).
fof(f252524,plain,
( sdtpldt0(xn,xm) != sdtpldt0(xm,sdtmndt0(xn,xp))
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569
| ~ spl4_3587 ),
inference(forward_subsumption_resolution,[],[f252444,f198]) ).
fof(f266642,definition,
( spl4_10687
<=> sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_10687])],[avatar_definition]) ).
fof(f266643,plain,
( sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ spl4_10687 ),
inference(avatar_component_clause,[],[f266642]) ).
fof(f266644,plain,
( spl4_213
| spl4_10687
| ~ spl4_3641 ),
inference(avatar_split_clause,[],[f143009,f57503,f266642,f2890]) ).
fof(f270436,definition,
( spl4_11339
<=> aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))) ),
introduced(definition,[new_symbols(definition,[spl4_11339])],[avatar_definition]) ).
fof(f270437,plain,
( ~ aNaturalNumber0(sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| spl4_11339 ),
inference(avatar_component_clause,[],[f270436]) ).
fof(f270499,definition,
( spl4_11355
<=> ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xp,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl4_11355])],[avatar_definition]) ).
fof(f270500,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ doDivides0(X0,sdtasdt0(xn,xm)) )
| ~ spl4_11355 ),
inference(avatar_component_clause,[],[f270499]) ).
fof(f270501,plain,
( ~ spl4_11339
| spl4_11355
| ~ spl4_243
| ~ spl4_797 ),
inference(avatar_split_clause,[],[f194336,f9793,f3299,f270499,f270436]) ).
fof(f270527,definition,
( spl4_11362
<=> sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_11362])],[avatar_definition]) ).
fof(f270528,plain,
( sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl4_11362 ),
inference(avatar_component_clause,[],[f270527]) ).
fof(f270529,plain,
( spl4_11362
| ~ spl4_11339
| ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| ~ spl4_797 ),
inference(avatar_split_clause,[],[f194380,f9793,f6074,f3299,f2460,f887,f270436,f270527]) ).
fof(f279017,definition,
( spl4_12502
<=> aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xp))) ),
introduced(definition,[new_symbols(definition,[spl4_12502])],[avatar_definition]) ).
fof(f279018,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xp)))
| spl4_12502 ),
inference(avatar_component_clause,[],[f279017]) ).
fof(f279224,plain,
( ~ doDivides0(xp,sdtmndt0(xn,xp))
| spl4_526 ),
inference(avatar_component_clause,[],[f6781]) ).
fof(f342632,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xp)))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xm,sdtmndt0(xn,xp))
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(superposition,[],[f207,f206286]) ).
fof(f342657,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xp)))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xm,sdtmndt0(xn,xp))
| ~ spl4_57
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f342632,f4216]) ).
fof(f342721,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xp)))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xm,sdtmndt0(xn,xp))
| ~ spl4_57
| ~ spl4_124
| ~ spl4_184
| ~ spl4_186
| ~ spl4_189
| ~ spl4_494
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f342657,f9772]) ).
fof(f342747,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,sdtmndt0(xn,xp)))
| sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xm,sdtmndt0(xn,xp))
| ~ spl4_57
| ~ spl4_124
| ~ spl4_184
| ~ spl4_186
| ~ spl4_189
| ~ spl4_243
| ~ spl4_494
| ~ spl4_3569 ),
inference(forward_subsumption_resolution,[],[f342721,f14058]) ).
fof(f342750,definition,
( spl4_13972
<=> sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xm,sdtmndt0(xn,xp)) ),
introduced(definition,[new_symbols(definition,[spl4_13972])],[avatar_definition]) ).
fof(f342751,plain,
( sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xm,sdtmndt0(xn,xp))
| ~ spl4_13972 ),
inference(avatar_component_clause,[],[f342750]) ).
fof(f342752,plain,
( spl4_13972
| ~ spl4_12502
| ~ spl4_57
| ~ spl4_124
| ~ spl4_184
| ~ spl4_186
| ~ spl4_189
| ~ spl4_243
| ~ spl4_494
| ~ spl4_3569 ),
inference(avatar_split_clause,[],[f342747,f56355,f6074,f3299,f2492,f2460,f2385,f1649,f887,f279017,f342750]) ).
fof(f342758,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl4_12502 ),
inference(resolution,[],[f279018,f133]) ).
fof(f342760,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl4_12502 ),
inference(forward_subsumption_resolution,[],[f342758,f198]) ).
fof(f342761,plain,
( $false
| ~ spl4_184
| ~ spl4_189
| ~ spl4_3569
| spl4_12502 ),
inference(forward_subsumption_resolution,[],[f342760,f56364]) ).
fof(f342762,plain,
( ~ spl4_184
| ~ spl4_189
| ~ spl4_3569
| spl4_12502 ),
inference(avatar_contradiction_clause,[],[f342761]) ).
fof(f352923,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| doDivides0(xp,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ spl4_57
| ~ spl4_243 ),
inference(resolution,[],[f200794,f246]) ).
fof(f352927,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| doDivides0(xp,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_57
| ~ spl4_243 ),
inference(duplicate_literal_removal,[],[f352923]) ).
fof(f352931,plain,
( doDivides0(xp,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ spl4_57
| ~ spl4_243 ),
inference(forward_subsumption_resolution,[],[f352927,f201]) ).
fof(f352935,plain,
( doDivides0(xp,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ aNaturalNumber0(xm)
| ~ spl4_57
| ~ spl4_243 ),
inference(forward_subsumption_resolution,[],[f352931,f197]) ).
fof(f352937,plain,
( doDivides0(xp,sdtasdt0(xm,sdtpldt0(xp,xn)))
| ~ spl4_57
| ~ spl4_243 ),
inference(forward_subsumption_resolution,[],[f352935,f198]) ).
fof(f369120,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_11339 ),
inference(resolution,[],[f270437,f154]) ).
fof(f369122,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_494
| spl4_11339 ),
inference(forward_subsumption_resolution,[],[f369120,f9772]) ).
fof(f369123,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| spl4_11339 ),
inference(forward_subsumption_resolution,[],[f369122,f14058]) ).
fof(f369124,plain,
( $false
| ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| spl4_11339 ),
inference(forward_subsumption_resolution,[],[f369123,f4216]) ).
fof(f369125,plain,
( ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| spl4_11339 ),
inference(avatar_contradiction_clause,[],[f369124]) ).
fof(f369127,plain,
( sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) = sdtasdt0(xm,sdtmndt0(xn,xp))
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_demodulation,[],[f270528,f342751]) ).
fof(f378150,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_57
| ~ spl4_243 ),
inference(resolution,[],[f200793,f352937]) ).
fof(f378154,plain,
( doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl4_57
| ~ spl4_243 ),
inference(forward_subsumption_resolution,[],[f378150,f201]) ).
fof(f378156,plain,
( doDivides0(xp,sdtasdt0(xp,xm))
| ~ spl4_57
| ~ spl4_243 ),
inference(forward_subsumption_resolution,[],[f378154,f197]) ).
fof(f378167,plain,
( spl4_1110
| ~ spl4_57
| ~ spl4_243 ),
inference(avatar_split_clause,[],[f378156,f3299,f887,f14077]) ).
fof(f389774,plain,
( ~ aNaturalNumber0(xp)
| doDivides0(xp,sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl4_1110
| ~ spl4_11355 ),
inference(resolution,[],[f270500,f49848]) ).
fof(f389777,plain,
( doDivides0(xp,sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ spl4_1110
| ~ spl4_11355 ),
inference(forward_subsumption_resolution,[],[f389774,f197]) ).
fof(f389781,plain,
( doDivides0(xp,sK0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)))
| ~ spl4_1110
| ~ spl4_11355 ),
inference(forward_subsumption_resolution,[],[f389777,f201]) ).
fof(f389785,plain,
( doDivides0(xp,sdtasdt0(xm,sdtmndt0(xn,xp)))
| ~ spl4_1110
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_demodulation,[],[f389781,f369127]) ).
fof(f389803,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xm)
| sdtpldt0(xn,xm) = sdtpldt0(xm,sdtmndt0(xn,xp))
| doDivides0(xp,xm)
| doDivides0(xp,sdtmndt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ spl4_8
| ~ spl4_1110
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(resolution,[],[f389785,f265]) ).
fof(f389808,plain,
( ~ aNaturalNumber0(xm)
| sdtpldt0(xn,xm) = sdtpldt0(xm,sdtmndt0(xn,xp))
| doDivides0(xp,xm)
| doDivides0(xp,sdtmndt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_subsumption_resolution,[],[f389803,f56364]) ).
fof(f389811,plain,
( sdtpldt0(xn,xm) = sdtpldt0(xm,sdtmndt0(xn,xp))
| doDivides0(xp,xm)
| doDivides0(xp,sdtmndt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_subsumption_resolution,[],[f389808,f198]) ).
fof(f389813,plain,
( doDivides0(xp,xm)
| doDivides0(xp,sdtmndt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_3587
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_subsumption_resolution,[],[f389811,f252524]) ).
fof(f389815,plain,
( doDivides0(xp,sdtmndt0(xn,xp))
| ~ sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_3587
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_subsumption_resolution,[],[f389813,f204]) ).
fof(f389816,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,sdtmndt0(xn,xp)),sdtpldt0(xn,xm))
| ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| spl4_526
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_3587
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_subsumption_resolution,[],[f389815,f279224]) ).
fof(f389817,plain,
( $false
| ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| spl4_526
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_3587
| ~ spl4_10687
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(forward_subsumption_resolution,[],[f389816,f266643]) ).
fof(f389818,plain,
( ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| spl4_526
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_3587
| ~ spl4_10687
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(avatar_contradiction_clause,[],[f389817]) ).
cnf(s2,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f232]) ).
cnf(s5,plain,
( ~ spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f266]) ).
cnf(s23,plain,
~ spl4_19,
inference(sat_conversion,[],[f492]) ).
cnf(s30,plain,
( spl4_4
| ~ spl4_26 ),
inference(sat_conversion,[],[f562]) ).
cnf(s37,plain,
spl4_3,
inference(sat_conversion,[],[f644]) ).
cnf(s58,plain,
spl4_9,
inference(sat_conversion,[],[f870]) ).
cnf(s62,plain,
spl4_57,
inference(sat_conversion,[],[f898]) ).
cnf(s121,plain,
( ~ spl4_107
| spl4_122 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s123,plain,
( ~ spl4_107
| spl4_124 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s125,plain,
spl4_107,
inference(sat_conversion,[],[f1658]) ).
cnf(s137,plain,
( ~ spl4_124
| ~ spl4_125
| spl4_137 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s143,plain,
spl4_125,
inference(sat_conversion,[],[f1771]) ).
cnf(s147,plain,
~ spl4_105,
inference(sat_conversion,[],[f1849]) ).
cnf(s187,plain,
( spl4_6
| ~ spl4_122
| ~ spl4_124
| spl4_184 ),
inference(sat_conversion,[],[f2387]) ).
cnf(s189,plain,
( ~ spl4_6
| ~ spl4_9 ),
inference(sat_conversion,[],[f2440]) ).
cnf(s191,plain,
( spl4_6
| spl4_186 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s198,plain,
( ~ spl4_184
| ~ spl4_189
| spl4_195 ),
inference(sat_conversion,[],[f2516]) ).
cnf(s200,plain,
( ~ spl4_125
| spl4_189 ),
inference(sat_conversion,[],[f2523]) ).
cnf(s387,plain,
spl4_243,
inference(sat_conversion,[],[f4581]) ).
cnf(s440,plain,
( spl4_215
| spl4_417 ),
inference(sat_conversion,[],[f5070]) ).
cnf(s443,plain,
( spl4_105
| spl4_420 ),
inference(sat_conversion,[],[f5082]) ).
cnf(s447,plain,
( ~ spl4_9
| ~ spl4_215 ),
inference(sat_conversion,[],[f5160]) ).
cnf(s451,plain,
( spl4_26
| spl4_423 ),
inference(sat_conversion,[],[f5257]) ).
cnf(s525,plain,
( spl4_19
| spl4_494 ),
inference(sat_conversion,[],[f6076]) ).
cnf(s705,plain,
( ~ spl4_184
| ~ spl4_189
| ~ spl4_195
| spl4_676 ),
inference(sat_conversion,[],[f8382]) ).
cnf(s820,plain,
spl4_793,
inference(sat_conversion,[],[f9710]) ).
cnf(s822,plain,
( ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| spl4_797 ),
inference(sat_conversion,[],[f9795]) ).
cnf(s1581,plain,
( ~ spl4_213
| spl4_648 ),
inference(sat_conversion,[],[f18167]) ).
cnf(s1585,plain,
( ~ spl4_417
| ~ spl4_420
| ~ spl4_648 ),
inference(sat_conversion,[],[f18193]) ).
cnf(s2461,plain,
( ~ spl4_124
| ~ spl4_125
| ~ spl4_423
| ~ spl4_2037 ),
inference(sat_conversion,[],[f26787]) ).
cnf(s5706,plain,
( ~ spl4_184
| ~ spl4_189
| spl4_863 ),
inference(sat_conversion,[],[f56336]) ).
cnf(s5711,plain,
( ~ spl4_124
| ~ spl4_195
| ~ spl4_676
| ~ spl4_863
| spl4_3569 ),
inference(sat_conversion,[],[f56357]) ).
cnf(s5725,plain,
( ~ spl4_184
| ~ spl4_189
| spl4_3497
| ~ spl4_3569
| spl4_3587 ),
inference(sat_conversion,[],[f56639]) ).
cnf(s5782,plain,
( ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_793
| ~ spl4_3569
| spl4_3641 ),
inference(sat_conversion,[],[f57505]) ).
cnf(s5783,plain,
( spl4_7
| ~ spl4_124
| ~ spl4_184
| ~ spl4_189
| ~ spl4_793
| ~ spl4_3569 ),
inference(sat_conversion,[],[f57507]) ).
cnf(s10165,plain,
( ~ spl4_184
| ~ spl4_189
| spl4_2037
| ~ spl4_3497
| ~ spl4_3569 ),
inference(sat_conversion,[],[f150108]) ).
cnf(s10405,plain,
( ~ spl4_9
| ~ spl4_137
| ~ spl4_526 ),
inference(sat_conversion,[],[f153866]) ).
cnf(s15580,plain,
( spl4_213
| ~ spl4_3641
| spl4_10687 ),
inference(sat_conversion,[],[f266644]) ).
cnf(s16190,plain,
( ~ spl4_243
| ~ spl4_797
| ~ spl4_11339
| spl4_11355 ),
inference(sat_conversion,[],[f270501]) ).
cnf(s16197,plain,
( ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| ~ spl4_797
| ~ spl4_11339
| spl4_11362 ),
inference(sat_conversion,[],[f270529]) ).
cnf(s19848,plain,
( ~ spl4_57
| ~ spl4_124
| ~ spl4_184
| ~ spl4_186
| ~ spl4_189
| ~ spl4_243
| ~ spl4_494
| ~ spl4_3569
| ~ spl4_12502
| spl4_13972 ),
inference(sat_conversion,[],[f342752]) ).
cnf(s19851,plain,
( ~ spl4_184
| ~ spl4_189
| ~ spl4_3569
| spl4_12502 ),
inference(sat_conversion,[],[f342762]) ).
cnf(s21695,plain,
( ~ spl4_57
| ~ spl4_186
| ~ spl4_243
| ~ spl4_494
| spl4_11339 ),
inference(sat_conversion,[],[f369125]) ).
cnf(s22209,plain,
( ~ spl4_57
| ~ spl4_243
| spl4_1110 ),
inference(sat_conversion,[],[f378167]) ).
cnf(s22869,plain,
( ~ spl4_8
| ~ spl4_184
| ~ spl4_189
| spl4_526
| ~ spl4_1110
| ~ spl4_3569
| ~ spl4_3587
| ~ spl4_10687
| ~ spl4_11355
| ~ spl4_11362
| ~ spl4_13972 ),
inference(sat_conversion,[],[f389818]) ).
cnf(s23566,plain,
spl4_420,
inference(rat,[],[s443,s147]) ).
cnf(s23571,plain,
spl4_189,
inference(rat,[],[s200,s143]) ).
cnf(s23587,plain,
( ~ spl4_124
| spl4_137 ),
inference(rat,[],[s137,s143]) ).
cnf(s23599,plain,
spl4_124,
inference(rat,[],[s123,s125]) ).
cnf(s23607,plain,
spl4_137,
inference(rat,[],[s23587,s23599]) ).
cnf(s23620,plain,
spl4_122,
inference(rat,[],[s121,s125]) ).
cnf(s23649,plain,
spl4_1110,
inference(rat,[],[s22209,s387,s62]) ).
cnf(s23773,plain,
~ spl4_526,
inference(rat,[],[s10405,s23607,s58]) ).
cnf(s23774,plain,
~ spl4_215,
inference(rat,[],[s447,s58]) ).
cnf(s23775,plain,
~ spl4_6,
inference(rat,[],[s189,s58]) ).
cnf(s23776,plain,
spl4_417,
inference(rat,[],[s440,s23774]) ).
cnf(s23777,plain,
spl4_186,
inference(rat,[],[s191,s23775]) ).
cnf(s23778,plain,
spl4_184,
inference(rat,[],[s187,s23620,s23599,s23775]) ).
cnf(s23784,plain,
~ spl4_648,
inference(rat,[],[s1585,s23566,s23776]) ).
cnf(s23808,plain,
spl4_863,
inference(rat,[],[s5706,s23571,s23778]) ).
cnf(s23811,plain,
spl4_195,
inference(rat,[],[s198,s23571,s23778]) ).
cnf(s23841,plain,
~ spl4_213,
inference(rat,[],[s1581,s23784]) ).
cnf(s23894,plain,
spl4_676,
inference(rat,[],[s705,s23778,s23571,s23811]) ).
cnf(s23924,plain,
spl4_3569,
inference(rat,[],[s5711,s23811,s23808,s23599,s23894]) ).
cnf(s23949,plain,
spl4_12502,
inference(rat,[],[s19851,s23778,s23571,s23924]) ).
cnf(s24074,plain,
spl4_3641,
inference(rat,[],[s5782,s23778,s23599,s820,s23571,s23924]) ).
cnf(s24141,plain,
spl4_7,
inference(rat,[],[s5783,s23778,s820,s23571,s23599,s23924]) ).
cnf(s24297,plain,
spl4_10687,
inference(rat,[],[s15580,s23841,s24074]) ).
cnf(s25000,plain,
spl4_494,
inference(rat,[],[s525,s23]) ).
cnf(s25175,plain,
spl4_11339,
inference(rat,[],[s21695,s23777,s62,s387,s25000]) ).
cnf(s25176,plain,
spl4_797,
inference(rat,[],[s822,s23777,s62,s387,s25000]) ).
cnf(s25178,plain,
spl4_13972,
inference(rat,[],[s19848,s23924,s23949,s23778,s23777,s387,s23571,s62,s23599,s25000]) ).
cnf(s25453,plain,
spl4_11355,
inference(rat,[],[s16190,s25175,s387,s25176]) ).
cnf(s25468,plain,
spl4_11362,
inference(rat,[],[s16197,s25000,s25175,s23777,s62,s387,s25176]) ).
cnf(s26194,plain,
spl4_8,
inference(rat,[],[s5,s24141]) ).
cnf(s26195,plain,
~ spl4_3587,
inference(rat,[],[s22869,s25178,s25468,s25453,s24297,s23924,s23778,s23649,s23773,s23571,s26194]) ).
cnf(s26196,plain,
spl4_3497,
inference(rat,[],[s5725,s23924,s23778,s23571,s26195]) ).
cnf(s26198,plain,
spl4_2037,
inference(rat,[],[s10165,s23924,s23778,s23571,s26196]) ).
cnf(s26203,plain,
~ spl4_423,
inference(rat,[],[s2461,s23599,s143,s26198]) ).
cnf(s26256,plain,
spl4_26,
inference(rat,[],[s451,s26203]) ).
cnf(s26282,plain,
spl4_4,
inference(rat,[],[s30,s26256]) ).
cnf(s26288,plain,
$false,
inference(rat,[],[s2,s26282,s37]) ).
fof(f389819,plain,
$false,
inference(avatar_sat_refutation,[],[s26288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM486+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n017.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:03:36 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.76/2.74 % (2901404)Detected formulas, will run a generic FOF schedule.
% 12.76/2.74 % (2901409)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=1655891701:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.76/2.74 % (2901413)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1788316756:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.76/2.74 % (2901412)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=146591712:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.76/2.74 % (2901415)dis-21_1_sil=8000:lcm=predicate:random_seed=2794044587: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)
% 12.76/2.74 % (2901410)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=1834428676:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.76/2.74 % (2901411)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=2410368005:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.76/2.74 % (2901414)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1711204860:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.76/2.74 % (2901412)Instruction limit reached!
% 12.76/2.74 % (2901412)------------------------------
% 12.76/2.74 % (2901412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.74 % (2901412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.74 % (2901412)CaDiCaL version: 2.1.3
% 12.76/2.74 % (2901412)Termination reason: Instruction limit
% 12.76/2.74 % (2901412)Termination phase: Saturation
% 12.76/2.74 % (2901412)Time elapsed: 0.060 s
% 12.76/2.74 % (2901412)Peak memory usage: 89 MB
% 12.76/2.74 % (2901412)Instructions burned: 111 (million)
% 12.76/2.74 % (2901413)Instruction limit reached!
% 12.76/2.74 % (2901413)------------------------------
% 12.76/2.74 % (2901413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.74 % (2901413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.74 % (2901413)CaDiCaL version: 2.1.3
% 12.76/2.74 % (2901413)Termination reason: Instruction limit
% 12.76/2.74 % (2901413)Termination phase: Saturation
% 12.76/2.74 % (2901413)Time elapsed: 0.071 s
% 12.76/2.74 % (2901413)Peak memory usage: 88 MB
% 12.76/2.74 % (2901413)Instructions burned: 119 (million)
% 12.76/2.74 % (2901415)Instruction limit reached!
% 12.76/2.74 % (2901415)------------------------------
% 12.76/2.74 % (2901415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.74 % (2901415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.74 % (2901415)CaDiCaL version: 2.1.3
% 12.76/2.74 % (2901415)Termination reason: Instruction limit
% 12.76/2.74 % (2901415)Termination phase: Saturation
% 12.76/2.74 % (2901415)Time elapsed: 0.079 s
% 12.76/2.74 % (2901415)Peak memory usage: 90 MB
% 12.76/2.74 % (2901415)Instructions burned: 130 (million)
% 12.76/2.74 % (2901414)Instruction limit reached!
% 12.76/2.74 % (2901414)------------------------------
% 12.76/2.74 % (2901414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.74 % (2901414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.74 % (2901414)CaDiCaL version: 2.1.3
% 12.76/2.74 % (2901414)Termination reason: Instruction limit
% 12.76/2.74 % (2901414)Termination phase: Saturation
% 12.76/2.74 % (2901414)Time elapsed: 0.091 s
% 12.76/2.74 % (2901414)Peak memory usage: 90 MB
% 12.76/2.74 % (2901414)Instructions burned: 140 (million)
% 12.76/2.74 % (2901423)lrs+10_1_sil=8000:sp=occurrence:random_seed=3183662521:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.76/2.74 % (2901424)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1245966608:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.76/2.74 % (2901425)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1629504951:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.76/2.74 % (2901426)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=906551692:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.76/2.74 % (2901424)Instruction limit reached!
% 18.48/3.58 % (2901424)------------------------------
% 18.48/3.58 % (2901424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.48/3.58 % (2901424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.48/3.58 % (2901424)CaDiCaL version: 2.1.3
% 18.48/3.58 % (2901424)Termination reason: Instruction limit
% 18.48/3.58 % (2901424)Termination phase: Saturation
% 18.48/3.58 % (2901424)Time elapsed: 0.082 s
% 18.48/3.58 % (2901424)Peak memory usage: 90 MB
% 18.48/3.58 % (2901424)Instructions burned: 158 (million)
% 18.48/3.58 % (2901426)Instruction limit reached!
% 18.48/3.58 % (2901426)------------------------------
% 18.48/3.58 % (2901426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.48/3.58 % (2901426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.48/3.58 % (2901426)CaDiCaL version: 2.1.3
% 18.48/3.58 % (2901426)Termination reason: Instruction limit
% 18.48/3.58 % (2901426)Termination phase: Saturation
% 18.48/3.58 % (2901426)Time elapsed: 0.120 s
% 18.48/3.58 % (2901426)Peak memory usage: 93 MB
% 18.48/3.58 % (2901426)Instructions burned: 249 (million)
% 18.48/3.58 % (2901423)Instruction limit reached!
% 18.48/3.58 % (2901423)------------------------------
% 18.48/3.58 % (2901423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.48/3.58 % (2901423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.48/3.58 % (2901423)CaDiCaL version: 2.1.3
% 18.48/3.58 % (2901423)Termination reason: Instruction limit
% 18.48/3.58 % (2901423)Termination phase: Saturation
% 18.48/3.58 % (2901423)Time elapsed: 0.163 s
% 18.48/3.58 % (2901423)Peak memory usage: 91 MB
% 18.48/3.58 % (2901423)Instructions burned: 285 (million)
% 18.48/3.58 % (2901425)Instruction limit reached!
% 18.48/3.58 % (2901425)------------------------------
% 18.48/3.58 % (2901425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.48/3.58 % (2901425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.48/3.58 % (2901425)CaDiCaL version: 2.1.3
% 18.48/3.58 % (2901425)Termination reason: Instruction limit
% 18.48/3.58 % (2901425)Termination phase: Saturation
% 18.48/3.58 % (2901425)Time elapsed: 0.203 s
% 18.48/3.58 % (2901425)Peak memory usage: 92 MB
% 18.48/3.58 % (2901425)Instructions burned: 325 (million)
% 18.48/3.58 % (2901431)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1587303176:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.48/3.58 % (2901432)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3263919338:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.48/3.58 % (2901433)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3595010581:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 18.48/3.58 % (2901434)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=900600619:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.48/3.58 % (2901433)Instruction limit reached!
% 18.48/3.58 % (2901433)------------------------------
% 18.48/3.58 % (2901433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.48/3.58 % (2901433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.48/3.58 % (2901433)CaDiCaL version: 2.1.3
% 18.48/3.58 % (2901433)Termination reason: Instruction limit
% 18.48/3.58 % (2901433)Termination phase: Saturation
% 18.48/3.58 % (2901433)Time elapsed: 0.071 s
% 18.48/3.58 % (2901433)Peak memory usage: 91 MB
% 18.48/3.58 % (2901433)Instructions burned: 114 (million)
% 18.48/3.58 % (2901431)Instruction limit reached!
% 18.48/3.58 % (2901431)------------------------------
% 18.48/3.58 % (2901431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.48/3.58 % (2901431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.48/3.58 % (2901431)CaDiCaL version: 2.1.3
% 18.48/3.58 % (2901431)Termination reason: Instruction limit
% 18.48/3.58 % (2901431)Termination phase: Saturation
% 18.48/3.58 % (2901431)Time elapsed: 0.157 s
% 18.48/3.58 % (2901431)Peak memory usage: 89 MB
% 18.48/3.58 % (2901431)Instructions burned: 295 (million)
% 18.48/3.58 % (2901434)Instruction limit reached!
% 18.48/3.58 % (2901434)------------------------------
% 18.48/3.58 % (2901434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.48/3.58 % (2901434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.48/3.58 % (2901434)CaDiCaL version: 2.1.3
% 18.48/3.58 % (2901434)Termination reason: Instruction limit
% 18.48/3.58 % (2901434)Termination phase: Saturation
% 54.40/8.58 % (2901434)Time elapsed: 0.065 s
% 54.40/8.58 % (2901434)Peak memory usage: 89 MB
% 54.40/8.58 % (2901434)Instructions burned: 128 (million)
% 54.40/8.58 % (2901439)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=765816090:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 54.40/8.58 % (2901440)lrs+10_1_sil=8000:sp=occurrence:random_seed=3917085379:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 54.40/8.58 % (2901441)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1051640935:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 54.40/8.58 % (2901439)Instruction limit reached!
% 54.40/8.58 % (2901439)------------------------------
% 54.40/8.58 % (2901439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.40/8.58 % (2901439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.40/8.58 % (2901439)CaDiCaL version: 2.1.3
% 54.40/8.58 % (2901439)Termination reason: Instruction limit
% 54.40/8.58 % (2901439)Termination phase: Saturation
% 54.40/8.58 % (2901439)Time elapsed: 0.063 s
% 54.40/8.58 % (2901439)Peak memory usage: 89 MB
% 54.40/8.58 % (2901439)Instructions burned: 115 (million)
% 54.40/8.58 % (2901445)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2285884301:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 54.40/8.58 % (2901441)Instruction limit reached!
% 54.40/8.58 % (2901441)------------------------------
% 54.40/8.58 % (2901441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.40/8.58 % (2901441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.40/8.58 % (2901441)CaDiCaL version: 2.1.3
% 54.40/8.58 % (2901441)Termination reason: Instruction limit
% 54.40/8.58 % (2901441)Termination phase: Saturation
% 54.40/8.58 % (2901441)Time elapsed: 0.254 s
% 54.40/8.58 % (2901441)Peak memory usage: 92 MB
% 54.40/8.58 % (2901441)Instructions burned: 438 (million)
% 54.40/8.58 % (2901447)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4068410964:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 54.40/8.58 % (2901447)Instruction limit reached!
% 54.40/8.58 % (2901447)------------------------------
% 54.40/8.58 % (2901447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.40/8.58 % (2901447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.40/8.58 % (2901447)CaDiCaL version: 2.1.3
% 54.40/8.58 % (2901447)Termination reason: Instruction limit
% 54.40/8.58 % (2901447)Termination phase: Saturation
% 54.40/8.58 % (2901447)Time elapsed: 0.063 s
% 54.40/8.58 % (2901447)Peak memory usage: 91 MB
% 54.40/8.58 % (2901447)Instructions burned: 135 (million)
% 54.40/8.58 % (2901440)Instruction limit reached!
% 54.40/8.58 % (2901440)------------------------------
% 54.40/8.58 % (2901440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.40/8.58 % (2901440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.40/8.58 % (2901440)CaDiCaL version: 2.1.3
% 54.40/8.58 % (2901440)Termination reason: Instruction limit
% 54.40/8.58 % (2901440)Termination phase: Saturation
% 54.40/8.58 % (2901440)Time elapsed: 0.500 s
% 54.40/8.58 % (2901440)Peak memory usage: 97 MB
% 54.40/8.58 % (2901440)Instructions burned: 908 (million)
% 54.40/8.58 % (2901449)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1074761344:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 54.40/8.58 % (2901450)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1792446053:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 54.40/8.58 % (2901449)Instruction limit reached!
% 54.40/8.58 % (2901449)------------------------------
% 54.40/8.58 % (2901449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.40/8.58 % (2901449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.40/8.58 % (2901449)CaDiCaL version: 2.1.3
% 54.40/8.58 % (2901449)Termination reason: Instruction limit
% 54.40/8.58 % (2901449)Termination phase: Saturation
% 54.40/8.58 % (2901449)Time elapsed: 0.282 s
% 54.40/8.58 % (2901449)Peak memory usage: 91 MB
% 54.40/8.58 % (2901449)Instructions burned: 593 (million)
% 54.40/8.58 % (2901453)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3067476457:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 80.71/12.24 % (2901453)Instruction limit reached!
% 80.71/12.24 % (2901453)------------------------------
% 80.71/12.24 % (2901453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.71/12.24 % (2901453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.71/12.24 % (2901453)CaDiCaL version: 2.1.3
% 80.71/12.24 % (2901453)Termination reason: Instruction limit
% 80.71/12.24 % (2901453)Termination phase: Saturation
% 80.71/12.24 % (2901453)Time elapsed: 0.068 s
% 80.71/12.24 % (2901453)Peak memory usage: 90 MB
% 80.71/12.24 % (2901453)Instructions burned: 126 (million)
% 80.71/12.24 % (2901455)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3668911937:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 80.71/12.24 % (2901432)Instruction limit reached!
% 80.71/12.24 % (2901432)------------------------------
% 80.71/12.24 % (2901432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.71/12.24 % (2901432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.71/12.24 % (2901432)CaDiCaL version: 2.1.3
% 80.71/12.24 % (2901432)Termination reason: Instruction limit
% 80.71/12.24 % (2901432)Termination phase: Saturation
% 80.71/12.24 % (2901432)Time elapsed: 1.464 s
% 80.71/12.24 % (2901432)Peak memory usage: 141 MB
% 80.71/12.24 % (2901432)Instructions burned: 2351 (million)
% 80.71/12.24 % (2901455)Instruction limit reached!
% 80.71/12.24 % (2901455)------------------------------
% 80.71/12.24 % (2901455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.71/12.24 % (2901455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.71/12.24 % (2901455)CaDiCaL version: 2.1.3
% 80.71/12.24 % (2901455)Termination reason: Instruction limit
% 80.71/12.24 % (2901455)Termination phase: Saturation
% 80.71/12.24 % (2901455)Time elapsed: 0.076 s
% 80.71/12.24 % (2901455)Peak memory usage: 90 MB
% 80.71/12.24 % (2901455)Instructions burned: 134 (million)
% 80.71/12.24 % (2901457)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1530241792:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 80.71/12.24 % (2901458)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3970186023:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 80.71/12.24 % (2901457)Instruction limit reached!
% 80.71/12.24 % (2901457)------------------------------
% 80.71/12.24 % (2901457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.71/12.24 % (2901457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.71/12.24 % (2901457)CaDiCaL version: 2.1.3
% 80.71/12.24 % (2901457)Termination reason: Instruction limit
% 80.71/12.24 % (2901457)Termination phase: Saturation
% 80.71/12.24 % (2901457)Time elapsed: 0.080 s
% 80.71/12.24 % (2901457)Peak memory usage: 91 MB
% 80.71/12.24 % (2901457)Instructions burned: 141 (million)
% 80.71/12.24 % (2901461)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3687814907:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 80.71/12.24 % (2901458)Instruction limit reached!
% 80.71/12.24 % (2901458)------------------------------
% 80.71/12.24 % (2901458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.71/12.24 % (2901458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.71/12.24 % (2901458)CaDiCaL version: 2.1.3
% 80.71/12.24 % (2901458)Termination reason: Instruction limit
% 80.71/12.24 % (2901458)Termination phase: Saturation
% 80.71/12.24 % (2901458)Time elapsed: 0.231 s
% 80.71/12.24 % (2901458)Peak memory usage: 95 MB
% 80.71/12.24 % (2901458)Instructions burned: 432 (million)
% 80.71/12.24 % (2901463)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3108910452:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 80.71/12.24 % (2901463)Instruction limit reached!
% 80.71/12.24 % (2901463)------------------------------
% 80.71/12.24 % (2901463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.71/12.24 % (2901463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.71/12.24 % (2901463)CaDiCaL version: 2.1.3
% 80.71/12.24 % (2901463)Termination reason: Instruction limit
% 80.71/12.24 % (2901463)Termination phase: Saturation
% 80.71/12.24 % (2901463)Time elapsed: 0.084 s
% 80.71/12.24 % (2901463)Peak memory usage: 93 MB
% 111.22/16.57 % (2901463)Instructions burned: 152 (million)
% 111.22/16.57 % (2901465)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=735245841:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 111.22/16.57 % (2901445)Instruction limit reached!
% 111.22/16.57 % (2901445)------------------------------
% 111.22/16.57 % (2901445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.22/16.57 % (2901445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.22/16.57 % (2901445)CaDiCaL version: 2.1.3
% 111.22/16.57 % (2901445)Termination reason: Instruction limit
% 111.22/16.57 % (2901445)Termination phase: Saturation
% 111.22/16.57 % (2901445)Time elapsed: 3.008 s
% 111.22/16.57 % (2901445)Peak memory usage: 155 MB
% 111.22/16.57 % (2901445)Instructions burned: 5203 (million)
% 111.22/16.57 % (2901467)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3209736244:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 111.22/16.57 % (2901467)Instruction limit reached!
% 111.22/16.57 % (2901467)------------------------------
% 111.22/16.57 % (2901467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.22/16.57 % (2901467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.22/16.57 % (2901467)CaDiCaL version: 2.1.3
% 111.22/16.57 % (2901467)Termination reason: Instruction limit
% 111.22/16.57 % (2901467)Termination phase: Saturation
% 111.22/16.57 % (2901467)Time elapsed: 0.340 s
% 111.22/16.57 % (2901467)Peak memory usage: 107 MB
% 111.22/16.57 % (2901467)Instructions burned: 668 (million)
% 111.22/16.57 % (2901470)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3608992733:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 111.22/16.57 % (2901470)Instruction limit reached!
% 111.22/16.57 % (2901470)------------------------------
% 111.22/16.57 % (2901470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.22/16.57 % (2901470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.22/16.57 % (2901470)CaDiCaL version: 2.1.3
% 111.22/16.57 % (2901470)Termination reason: Instruction limit
% 111.22/16.57 % (2901470)Termination phase: Saturation
% 111.22/16.57 % (2901470)Time elapsed: 0.101 s
% 111.22/16.57 % (2901470)Peak memory usage: 94 MB
% 111.22/16.57 % (2901470)Instructions burned: 186 (million)
% 111.22/16.57 % (2901472)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3028754152:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2952 on theBenchmark for (2952ds/193Mi)
% 111.22/16.57 % (2901472)Instruction limit reached!
% 111.22/16.57 % (2901472)------------------------------
% 111.22/16.57 % (2901472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.22/16.57 % (2901472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.22/16.57 % (2901472)CaDiCaL version: 2.1.3
% 111.22/16.57 % (2901472)Termination reason: Instruction limit
% 111.22/16.57 % (2901472)Termination phase: Saturation
% 111.22/16.57 % (2901472)Time elapsed: 0.094 s
% 111.22/16.57 % (2901472)Peak memory usage: 89 MB
% 111.22/16.57 % (2901472)Instructions burned: 193 (million)
% 111.22/16.57 % (2901474)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1470414237:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2950 on theBenchmark for (2950ds/4850Mi)
% 111.22/16.57 % (2901461)Instruction limit reached!
% 111.22/16.57 % (2901461)------------------------------
% 111.22/16.57 % (2901461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.22/16.57 % (2901461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.22/16.57 % (2901461)CaDiCaL version: 2.1.3
% 111.22/16.57 % (2901461)Termination reason: Instruction limit
% 111.22/16.57 % (2901461)Termination phase: Saturation
% 111.22/16.57 % (2901461)Time elapsed: 2.881 s
% 111.22/16.57 % (2901461)Peak memory usage: 142 MB
% 111.22/16.57 % (2901461)Instructions burned: 6060 (million)
% 111.22/16.57 % (2901476)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3152839868:i=12111:sd=1:ss=included_2947 on theBenchmark for (2947ds/12111Mi)
% 111.22/16.57 % (2901474)Instruction limit reached!
% 111.22/16.57 % (2901474)------------------------------
% 111.22/16.57 % (2901474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.22/16.57 % (2901474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.22/16.57 % (2901474)CaDiCaL version: 2.1.3
% 143.39/21.11 % (2901474)Termination reason: Instruction limit
% 143.39/21.11 % (2901474)Termination phase: Saturation
% 143.39/21.11 % (2901474)Time elapsed: 2.595 s
% 143.39/21.11 % (2901474)Peak memory usage: 139 MB
% 143.39/21.11 % (2901474)Instructions burned: 4850 (million)
% 143.39/21.11 % (2901478)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=792824420:i=319:kws=precedence:fsr=off_2922 on theBenchmark for (2922ds/319Mi)
% 143.39/21.11 % (2901478)Instruction limit reached!
% 143.39/21.11 % (2901478)------------------------------
% 143.39/21.11 % (2901478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.39/21.11 % (2901478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.39/21.11 % (2901478)CaDiCaL version: 2.1.3
% 143.39/21.11 % (2901478)Termination reason: Instruction limit
% 143.39/21.11 % (2901478)Termination phase: Saturation
% 143.39/21.11 % (2901478)Time elapsed: 0.172 s
% 143.39/21.11 % (2901478)Peak memory usage: 93 MB
% 143.39/21.11 % (2901478)Instructions burned: 320 (million)
% 143.39/21.11 % (2901480)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3660076030:i=2064:ep=RST_2919 on theBenchmark for (2919ds/2064Mi)
% 143.39/21.11 % (2901480)Instruction limit reached!
% 143.39/21.11 % (2901480)------------------------------
% 143.39/21.11 % (2901480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.39/21.11 % (2901480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.39/21.11 % (2901480)CaDiCaL version: 2.1.3
% 143.39/21.11 % (2901480)Termination reason: Instruction limit
% 143.39/21.11 % (2901480)Termination phase: Saturation
% 143.39/21.11 % (2901480)Time elapsed: 0.900 s
% 143.39/21.11 % (2901480)Peak memory usage: 106 MB
% 143.39/21.11 % (2901480)Instructions burned: 2066 (million)
% 143.39/21.11 % (2901482)dis-1011_128_sil=32000:random_seed=986007089:i=3706:ep=RST:av=off_2909 on theBenchmark for (2909ds/3706Mi)
% 143.39/21.11 % (2901450)Instruction limit reached!
% 143.39/21.11 % (2901450)------------------------------
% 143.39/21.11 % (2901450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.39/21.11 % (2901450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.39/21.11 % (2901450)CaDiCaL version: 2.1.3
% 143.39/21.11 % (2901450)Termination reason: Instruction limit
% 143.39/21.11 % (2901450)Termination phase: Saturation
% 143.39/21.11 % (2901450)Time elapsed: 7.885 s
% 143.39/21.11 % (2901450)Peak memory usage: 214 MB
% 143.39/21.11 % (2901450)Instructions burned: 13193 (million)
% 143.39/21.11 % (2901484)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=624695783:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2906 on theBenchmark for (2906ds/757Mi)
% 143.39/21.11 % (2901484)Instruction limit reached!
% 143.39/21.11 % (2901484)------------------------------
% 143.39/21.11 % (2901484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.39/21.11 % (2901484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.39/21.11 % (2901484)CaDiCaL version: 2.1.3
% 143.39/21.11 % (2901484)Termination reason: Instruction limit
% 143.39/21.11 % (2901484)Termination phase: Saturation
% 143.39/21.11 % (2901484)Time elapsed: 0.521 s
% 143.39/21.11 % (2901484)Peak memory usage: 104 MB
% 143.39/21.11 % (2901484)Instructions burned: 758 (million)
% 143.39/21.11 % (2901486)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3478829233:i=13913:ss=axioms:sgt=8_2899 on theBenchmark for (2899ds/13913Mi)
% 143.39/21.11 % (2901465)Instruction limit reached!
% 143.39/21.11 % (2901465)------------------------------
% 143.39/21.11 % (2901465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.39/21.11 % (2901465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.39/21.11 % (2901465)CaDiCaL version: 2.1.3
% 143.39/21.11 % (2901465)Termination reason: Instruction limit
% 143.39/21.11 % (2901465)Termination phase: Saturation
% 143.39/21.11 % (2901465)Time elapsed: 8.097 s
% 143.39/21.11 % (2901465)Peak memory usage: 224 MB
% 143.39/21.11 % (2901465)Instructions burned: 14156 (million)
% 143.39/21.11 % (2901488)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3617858559:i=9925:aac=none_2890 on theBenchmark for (2890ds/9925Mi)
% 143.39/21.11 % (2901482)Instruction limit reached!
% 143.39/21.11 % (2901482)------------------------------
% 143.39/21.11 % (2901482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.39/21.11 % (2901482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.39/21.11 % (2901482)CaDiCaL version: 2.1.3
% 172.50/25.17 % (2901482)Termination reason: Instruction limit
% 172.50/25.17 % (2901482)Termination phase: Saturation
% 172.50/25.17 % (2901482)Time elapsed: 2.176 s
% 172.50/25.17 % (2901482)Peak memory usage: 114 MB
% 172.50/25.17 % (2901482)Instructions burned: 3708 (million)
% 172.50/25.17 % (2901490)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1402605857:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2886 on theBenchmark for (2886ds/2479Mi)
% 172.50/25.17 % (2901476)Instruction limit reached!
% 172.50/25.17 % (2901476)------------------------------
% 172.50/25.17 % (2901476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 172.50/25.17 % (2901476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.50/25.17 % (2901476)CaDiCaL version: 2.1.3
% 172.50/25.17 % (2901476)Termination reason: Instruction limit
% 172.50/25.17 % (2901476)Termination phase: Saturation
% 172.50/25.17 % (2901476)Time elapsed: 6.572 s
% 172.50/25.17 % (2901476)Peak memory usage: 306 MB
% 172.50/25.17 % (2901476)Instructions burned: 12111 (million)
% 172.50/25.17 % (2901492)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=631623751:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2879 on theBenchmark for (2879ds/440Mi)
% 172.50/25.17 % (2901492)Instruction limit reached!
% 172.50/25.17 % (2901492)------------------------------
% 172.50/25.17 % (2901492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 172.50/25.17 % (2901492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.50/25.17 % (2901492)CaDiCaL version: 2.1.3
% 172.50/25.17 % (2901492)Termination reason: Instruction limit
% 172.50/25.17 % (2901492)Termination phase: Saturation
% 172.50/25.17 % (2901492)Time elapsed: 0.227 s
% 172.50/25.17 % (2901492)Peak memory usage: 92 MB
% 172.50/25.17 % (2901492)Instructions burned: 440 (million)
% 172.50/25.17 % (2901494)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1900204275:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2876 on theBenchmark for (2876ds/11145Mi)
% 172.50/25.17 % (2901490)Instruction limit reached!
% 172.50/25.17 % (2901490)------------------------------
% 172.50/25.17 % (2901490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 172.50/25.17 % (2901490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.50/25.17 % (2901490)CaDiCaL version: 2.1.3
% 172.50/25.17 % (2901490)Termination reason: Instruction limit
% 172.50/25.17 % (2901490)Termination phase: Saturation
% 172.50/25.17 % (2901490)Time elapsed: 1.393 s
% 172.50/25.17 % (2901490)Peak memory usage: 106 MB
% 172.50/25.17 % (2901490)Instructions burned: 2479 (million)
% 172.50/25.17 % (2901496)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2019147019:cts=off:i=3034:av=off:er=known:fsd=on_2870 on theBenchmark for (2870ds/3034Mi)
% 172.50/25.17 % (2901496)Instruction limit reached!
% 172.50/25.17 % (2901496)------------------------------
% 172.50/25.17 % (2901496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 172.50/25.17 % (2901496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.50/25.17 % (2901496)CaDiCaL version: 2.1.3
% 172.50/25.17 % (2901496)Termination reason: Instruction limit
% 172.50/25.17 % (2901496)Termination phase: Saturation
% 172.50/25.17 % (2901496)Time elapsed: 1.611 s
% 172.50/25.17 % (2901496)Peak memory usage: 139 MB
% 172.50/25.17 % (2901496)Instructions burned: 3036 (million)
% 172.50/25.17 % (2901498)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=529853715:st=2:s2a=on:i=524:s2at=2:ss=axioms_2853 on theBenchmark for (2853ds/524Mi)
% 172.50/25.17 % (2901498)Instruction limit reached!
% 172.50/25.17 % (2901498)------------------------------
% 172.50/25.17 % (2901498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 172.50/25.17 % (2901498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 172.50/25.17 % (2901498)CaDiCaL version: 2.1.3
% 172.50/25.17 % (2901498)Termination reason: Instruction limit
% 172.50/25.17 % (2901498)Termination phase: Saturation
% 172.50/25.17 % (2901498)Time elapsed: 0.243 s
% 172.50/25.17 % (2901498)Peak memory usage: 95 MB
% 172.50/25.17 % (2901498)Instructions burned: 526 (million)
% 172.50/25.17 % (2901500)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1574811371:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2849 on theBenchmark for (2849ds/1016Mi)
% 172.50/25.17 % (2901500)Instruction limit reached!
% 172.50/25.17 % (2901500)------------------------------
% 172.50/25.17 % (2901500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 213.46/30.97 % (2901500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 213.46/30.97 % (2901500)CaDiCaL version: 2.1.3
% 213.46/30.97 % (2901500)Termination reason: Instruction limit
% 213.46/30.97 % (2901500)Termination phase: Saturation
% 213.46/30.97 % (2901500)Time elapsed: 0.530 s
% 213.46/30.97 % (2901500)Peak memory usage: 118 MB
% 213.46/30.97 % (2901500)Instructions burned: 1016 (million)
% 213.46/30.97 % (2901502)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3527943082:i=14123:bd=preordered:ins=4_2843 on theBenchmark for (2843ds/14123Mi)
% 213.46/30.97 % (2901488)Instruction limit reached!
% 213.46/30.97 % (2901488)------------------------------
% 213.46/30.97 % (2901488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 213.46/30.97 % (2901488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 213.46/30.97 % (2901488)CaDiCaL version: 2.1.3
% 213.46/30.97 % (2901488)Termination reason: Instruction limit
% 213.46/30.97 % (2901488)Termination phase: Saturation
% 213.46/30.97 % (2901488)Time elapsed: 5.899 s
% 213.46/30.97 % (2901488)Peak memory usage: 204 MB
% 213.46/30.97 % (2901488)Instructions burned: 9925 (million)
% 213.46/30.97 % (2901504)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2328381503:i=5781:kws=precedence:bd=all:rawr=on_2829 on theBenchmark for (2829ds/5781Mi)
% 213.46/30.97 % (2901486)Instruction limit reached!
% 213.46/30.97 % (2901486)------------------------------
% 213.46/30.97 % (2901486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 213.46/30.97 % (2901486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 213.46/30.97 % (2901486)CaDiCaL version: 2.1.3
% 213.46/30.97 % (2901486)Termination reason: Instruction limit
% 213.46/30.97 % (2901486)Termination phase: Saturation
% 213.46/30.97 % (2901486)Time elapsed: 8.289 s
% 213.46/30.97 % (2901486)Peak memory usage: 217 MB
% 213.46/30.97 % (2901486)Instructions burned: 13914 (million)
% 213.46/30.97 % (2901506)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3863926071:i=2448:gtgl=5:bd=preordered:gtg=all_2815 on theBenchmark for (2815ds/2448Mi)
% 213.46/30.97 % (2901494)Instruction limit reached!
% 213.46/30.97 % (2901494)------------------------------
% 213.46/30.97 % (2901494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 213.46/30.97 % (2901494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 213.46/30.97 % (2901494)CaDiCaL version: 2.1.3
% 213.46/30.97 % (2901494)Termination reason: Instruction limit
% 213.46/30.97 % (2901494)Termination phase: Saturation
% 213.46/30.97 % (2901494)Time elapsed: 6.637 s
% 213.46/30.97 % (2901494)Peak memory usage: 206 MB
% 213.46/30.97 % (2901494)Instructions burned: 11146 (million)
% 213.46/30.97 % (2901508)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=846613891:i=3223:kws=precedence:fgj=on:av=off_2808 on theBenchmark for (2808ds/3223Mi)
% 213.46/30.97 % (2901506)Instruction limit reached!
% 213.46/30.97 % (2901506)------------------------------
% 213.46/30.97 % (2901506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 213.46/30.97 % (2901506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 213.46/30.97 % (2901506)CaDiCaL version: 2.1.3
% 213.46/30.97 % (2901506)Termination reason: Instruction limit
% 213.46/30.97 % (2901506)Termination phase: Saturation
% 213.46/30.97 % (2901506)Time elapsed: 1.417 s
% 213.46/30.97 % (2901506)Peak memory usage: 144 MB
% 213.46/30.97 % (2901506)Instructions burned: 2448 (million)
% 213.46/30.97 % (2901504)Instruction limit reached!
% 213.46/30.97 % (2901504)------------------------------
% 213.46/30.97 % (2901504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 213.46/30.97 % (2901504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 213.46/30.97 % (2901504)CaDiCaL version: 2.1.3
% 213.46/30.97 % (2901504)Termination reason: Instruction limit
% 213.46/30.97 % (2901504)Termination phase: Saturation
% 213.46/30.97 % (2901504)Time elapsed: 2.959 s
% 213.46/30.97 % (2901504)Peak memory usage: 128 MB
% 213.46/30.97 % (2901504)Instructions burned: 5781 (million)
% 213.46/30.97 % (2901510)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1967071088:st=5.6:i=2033:sd=3:ss=axioms_2799 on theBenchmark for (2799ds/2033Mi)
% 213.46/30.97 % (2901511)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1334100857:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2798 on theBenchmark for (2798ds/2055Mi)
% 147.40/34.53 % (2901508)Instruction limit reached!
% 147.40/34.53 % (2901508)------------------------------
% 147.40/34.53 % (2901508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901508)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901508)Termination reason: Instruction limit
% 147.40/34.53 % (2901508)Termination phase: Saturation
% 147.40/34.53 % (2901508)Time elapsed: 1.977 s
% 147.40/34.53 % (2901508)Peak memory usage: 147 MB
% 147.40/34.53 % (2901508)Instructions burned: 3224 (million)
% 147.40/34.53 % (2901510)Instruction limit reached!
% 147.40/34.53 % (2901510)------------------------------
% 147.40/34.53 % (2901510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901510)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901510)Termination reason: Instruction limit
% 147.40/34.53 % (2901510)Termination phase: Saturation
% 147.40/34.53 % (2901510)Time elapsed: 1.210 s
% 147.40/34.53 % (2901510)Peak memory usage: 137 MB
% 147.40/34.53 % (2901510)Instructions burned: 2034 (million)
% 147.40/34.53 % (2901511)Instruction limit reached!
% 147.40/34.53 % (2901511)------------------------------
% 147.40/34.53 % (2901511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901511)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901511)Termination reason: Instruction limit
% 147.40/34.53 % (2901511)Termination phase: Saturation
% 147.40/34.53 % (2901511)Time elapsed: 1.157 s
% 147.40/34.53 % (2901511)Peak memory usage: 132 MB
% 147.40/34.53 % (2901511)Instructions burned: 2057 (million)
% 147.40/34.53 % (2901514)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=2271106063:i=21611:sd=3:ss=axioms_2787 on theBenchmark for (2787ds/21611Mi)
% 147.40/34.53 % (2901515)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2834729096:i=4835:sd=13:ss=axioms:sgt=23_2786 on theBenchmark for (2786ds/4835Mi)
% 147.40/34.53 % (2901516)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=584467201:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2786 on theBenchmark for (2786ds/797Mi)
% 147.40/34.53 % (2901516)Instruction limit reached!
% 147.40/34.53 % (2901516)------------------------------
% 147.40/34.53 % (2901516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901516)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901516)Termination reason: Instruction limit
% 147.40/34.53 % (2901516)Termination phase: Saturation
% 147.40/34.53 % (2901516)Time elapsed: 0.328 s
% 147.40/34.53 % (2901516)Peak memory usage: 88 MB
% 147.40/34.53 % (2901516)Instructions burned: 800 (million)
% 147.40/34.53 % (2901520)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3331213201:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2781 on theBenchmark for (2781ds/2326Mi)
% 147.40/34.53 % (2901520)Instruction limit reached!
% 147.40/34.53 % (2901520)------------------------------
% 147.40/34.53 % (2901520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901520)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901520)Termination reason: Instruction limit
% 147.40/34.53 % (2901520)Termination phase: Saturation
% 147.40/34.53 % (2901520)Time elapsed: 1.096 s
% 147.40/34.53 % (2901520)Peak memory usage: 93 MB
% 147.40/34.53 % (2901520)Instructions burned: 2328 (million)
% 147.40/34.53 % (2901522)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=919121323:i=6038:nm=6_2769 on theBenchmark for (2769ds/6038Mi)
% 147.40/34.53 % (2901515)Instruction limit reached!
% 147.40/34.53 % (2901515)------------------------------
% 147.40/34.53 % (2901515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901515)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901515)Termination reason: Instruction limit
% 147.40/34.53 % (2901515)Termination phase: Saturation
% 147.40/34.53 % (2901515)Time elapsed: 2.806 s
% 147.40/34.53 % (2901515)Peak memory usage: 125 MB
% 147.40/34.53 % (2901515)Instructions burned: 4836 (million)
% 147.40/34.53 % (2901502)Instruction limit reached!
% 147.40/34.53 % (2901502)------------------------------
% 147.40/34.53 % (2901502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901502)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901502)Termination reason: Instruction limit
% 147.40/34.53 % (2901502)Termination phase: Saturation
% 147.40/34.53 % (2901502)Time elapsed: 8.521 s
% 147.40/34.53 % (2901502)Peak memory usage: 207 MB
% 147.40/34.53 % (2901502)Instructions burned: 14123 (million)
% 147.40/34.53 % (2901524)lrs+10_1_sil=32000:sp=occurrence:random_seed=729587059:st=2:i=33334:sd=3:ss=included:sgt=32_2757 on theBenchmark for (2757ds/33334Mi)
% 147.40/34.53 % (2901525)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2522557399:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2756 on theBenchmark for (2756ds/1008Mi)
% 147.40/34.53 % (2901525)Instruction limit reached!
% 147.40/34.53 % (2901525)------------------------------
% 147.40/34.53 % (2901525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901525)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901525)Termination reason: Instruction limit
% 147.40/34.53 % (2901525)Termination phase: Saturation
% 147.40/34.53 % (2901525)Time elapsed: 0.480 s
% 147.40/34.53 % (2901525)Peak memory usage: 99 MB
% 147.40/34.53 % (2901525)Instructions burned: 1009 (million)
% 147.40/34.53 % (2901528)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2437994180:i=8327:s2at=5:bd=preordered_2750 on theBenchmark for (2750ds/8327Mi)
% 147.40/34.53 % (2901522)Instruction limit reached!
% 147.40/34.53 % (2901522)------------------------------
% 147.40/34.53 % (2901522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901522)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901522)Termination reason: Instruction limit
% 147.40/34.53 % (2901522)Termination phase: Saturation
% 147.40/34.53 % (2901522)Time elapsed: 3.142 s
% 147.40/34.53 % (2901522)Peak memory usage: 181 MB
% 147.40/34.53 % (2901522)Instructions burned: 6038 (million)
% 147.40/34.53 % (2901530)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1184225140:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2736 on theBenchmark for (2736ds/1083Mi)
% 147.40/34.53 % (2901530)Instruction limit reached!
% 147.40/34.53 % (2901530)------------------------------
% 147.40/34.53 % (2901530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901530)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901530)Termination reason: Instruction limit
% 147.40/34.53 % (2901530)Termination phase: Saturation
% 147.40/34.53 % (2901530)Time elapsed: 0.501 s
% 147.40/34.53 % (2901530)Peak memory usage: 120 MB
% 147.40/34.53 % (2901530)Instructions burned: 1083 (million)
% 147.40/34.53 % (2901532)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=298554200:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2729 on theBenchmark for (2729ds/1084Mi)
% 147.40/34.53 % (2901532)Instruction limit reached!
% 147.40/34.53 % (2901532)------------------------------
% 147.40/34.53 % (2901532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901532)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901532)Termination reason: Instruction limit
% 147.40/34.53 % (2901532)Termination phase: Saturation
% 147.40/34.53 % (2901532)Time elapsed: 0.646 s
% 147.40/34.53 % (2901532)Peak memory usage: 102 MB
% 147.40/34.53 % (2901532)Instructions burned: 1085 (million)
% 147.40/34.53 % (2901534)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=3955773159:i=6995:s2at=5:gtg=all_2722 on theBenchmark for (2722ds/6995Mi)
% 147.40/34.53 % (2901528)Instruction limit reached!
% 147.40/34.53 % (2901528)------------------------------
% 147.40/34.53 % (2901528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901528)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901528)Termination reason: Instruction limit
% 147.40/34.53 % (2901528)Termination phase: Saturation
% 147.40/34.53 % (2901528)Time elapsed: 5.022 s
% 147.40/34.53 % (2901528)Peak memory usage: 178 MB
% 147.40/34.53 % (2901528)Instructions burned: 8390 (million)
% 147.40/34.53 % (2901536)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1995449672:st=2:i=6225:sd=15:ss=axioms_2698 on theBenchmark for (2698ds/6225Mi)
% 147.40/34.53 % (2901534)Instruction limit reached!
% 147.40/34.53 % (2901534)------------------------------
% 147.40/34.53 % (2901534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901534)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901534)Termination reason: Instruction limit
% 147.40/34.53 % (2901534)Termination phase: Saturation
% 147.40/34.53 % (2901534)Time elapsed: 4.311 s
% 147.40/34.53 % (2901534)Peak memory usage: 169 MB
% 147.40/34.53 % (2901534)Instructions burned: 6995 (million)
% 147.40/34.53 % (2901538)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=686951155:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2677 on theBenchmark for (2677ds/3372Mi)
% 147.40/34.53 % (2901410)First to succeed.
% 147.40/34.53 % (2901410)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2901404"
% 147.40/34.53 % (2901536)Instruction limit reached!
% 147.40/34.53 % (2901536)------------------------------
% 147.40/34.53 % (2901536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901536)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901536)Termination reason: Instruction limit
% 147.40/34.53 % (2901536)Termination phase: Saturation
% 147.40/34.53 % (2901536)Time elapsed: 3.087 s
% 147.40/34.53 % (2901536)Peak memory usage: 166 MB
% 147.40/34.53 % (2901536)Instructions burned: 6227 (million)
% 147.40/34.53 % (2901540)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=79871737:st=2.3:i=26457:sd=10:ss=included:sgt=8_2666 on theBenchmark for (2666ds/26457Mi)
% 147.40/34.53 % (2901514)Instruction limit reached!
% 147.40/34.53 % (2901514)------------------------------
% 147.40/34.53 % (2901514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 147.40/34.53 % (2901514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 147.40/34.53 % (2901514)CaDiCaL version: 2.1.3
% 147.40/34.53 % (2901514)Termination reason: Instruction limit
% 147.40/34.53 % (2901514)Termination phase: Saturation
% 147.40/34.53 % (2901514)Time elapsed: 12.151 s
% 147.40/34.53 % (2901514)Peak memory usage: 245 MB
% 147.40/34.53 % (2901514)Instructions burned: 21611 (million)
% 147.40/34.53 % (2901410)Refutation found. Thanks to Tanya!
% 147.40/34.53 % SZS status Theorem for theBenchmark
% 147.40/34.53 % SZS output start Proof for theBenchmark
% See solution above
% 239.13/34.72 % (2901410)------------------------------
% 239.13/34.72 % (2901410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 239.13/34.72 % (2901410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 239.13/34.72 % (2901410)CaDiCaL version: 2.1.3
% 239.13/34.72 % (2901410)Termination reason: Refutation
% 239.13/34.72 % (2901410)Time elapsed: 33.100 s
% 239.13/34.72 % (2901410)Peak memory usage: 490 MB
% 239.13/34.72 % (2901410)Instructions burned: 55838 (million)
% 239.13/34.72 % (2901410)------------------------------
% 239.13/34.72 % (2901410)------------------------------
% 239.13/34.72 % (2901404)Success in time 33.645 s
% 239.13/34.72 % Vampire exiting
%------------------------------------------------------------------------------