%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM522+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:15:34 PM UTC 2026
% Result : Theorem 88.41s 15.35s
% Output : Refutation 103.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 59
% Syntax : Number of formulae : 803 ( 97 unt; 41 def)
% Number of atoms : 4467 ( 691 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 7011 (3347 ~;3462 |; 118 &)
% ( 45 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 37 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 354 ( 0 sgn 340 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( isPrime0(X2)
& doDivides0(X2,sdtasdt0(X0,X1)) )
=> ( doDivides0(X2,X0)
| doDivides0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPDP) ).
fof(f40,conjecture,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( ! [X3,X4,X5] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X4)
& aNaturalNumber0(X5)
& X3 != sz00
& X4 != sz00
& X5 != sz00 )
=> ( sdtasdt0(X5,sdtasdt0(X4,X4)) = sdtasdt0(X3,X3)
=> ( iLess0(X3,X0)
=> ~ isPrime0(X5) ) ) )
=> ~ isPrime0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( ! [X3,X4,X5] :
( ( aNaturalNumber0(X3)
& aNaturalNumber0(X4)
& aNaturalNumber0(X5)
& X3 != sz00
& X4 != sz00
& X5 != sz00 )
=> ( sdtasdt0(X5,sdtasdt0(X4,X4)) = sdtasdt0(X3,X3)
=> ( iLess0(X3,X0)
=> ~ isPrime0(X5) ) ) )
=> ~ isPrime0(X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f46]) ).
fof(f53,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f56,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f63,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f67,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f68,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f67]) ).
fof(f86,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f89,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f91,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f95,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f94]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f102]) ).
fof(f104,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(f105,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f104]) ).
fof(f108,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f109,plain,
! [X0,X1,X2] :
( doDivides0(X2,X0)
| doDivides0(X2,X1)
| ~ isPrime0(X2)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
? [X0,X1,X2] :
( isPrime0(X2)
& ! [X3,X4,X5] :
( ~ isPrime0(X5)
| ~ iLess0(X3,X0)
| sdtasdt0(X5,sdtasdt0(X4,X4)) != sdtasdt0(X3,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sz00 = X3
| sz00 = X4
| sz00 = X5 )
& sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 ),
inference(ennf_transformation,[],[f41]) ).
fof(f111,plain,
? [X0,X1,X2] :
( isPrime0(X2)
& ! [X3,X4,X5] :
( ~ isPrime0(X5)
| ~ iLess0(X3,X0)
| sdtasdt0(X5,sdtasdt0(X4,X4)) != sdtasdt0(X3,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sz00 = X3
| sz00 = X4
| sz00 = X5 )
& sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 ),
inference(flattening,[],[f110]) ).
fof(f117,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,[],[f91]) ).
fof(f118,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,[],[f117]) ).
fof(f119,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))],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f93]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f120]) ).
fof(f122,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,[],[f105]) ).
fof(f123,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,[],[f122]) ).
fof(f124,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,[],[f123]) ).
fof(f125,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))],[f124]) ).
fof(f127,plain,
( isPrime0(sK6)
& ! [X3,X4,X5] :
( ~ isPrime0(X5)
| ~ iLess0(X3,sK4)
| sdtasdt0(X5,sdtasdt0(X4,X4)) != sdtasdt0(X3,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sz00 = X3
| sz00 = X4
| sz00 = X5 )
& sdtasdt0(sK6,sdtasdt0(sK5,sK5)) = sdtasdt0(sK4,sK4)
& aNaturalNumber0(sK4)
& aNaturalNumber0(sK5)
& aNaturalNumber0(sK6)
& sz00 != sK4
& sz00 != sK5
& sz00 != sK6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f111]) ).
fof(f128,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f140,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f141,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f142,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f58]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f148,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f151,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f173,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f174,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f175,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK1(X0,X1)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f176,plain,
! [X0,X1] :
( aNaturalNumber0(sK1(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f177,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f178,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f180,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f187,plain,
! [X0] :
( sz10 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ doDivides0(X2,sdtasdt0(X0,X1))
| doDivides0(X2,X1)
| ~ isPrime0(X2)
| doDivides0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f197,plain,
sz00 != sK6,
inference(cnf_transformation,[],[f127]) ).
fof(f198,plain,
sz00 != sK5,
inference(cnf_transformation,[],[f127]) ).
fof(f199,plain,
sz00 != sK4,
inference(cnf_transformation,[],[f127]) ).
fof(f200,plain,
aNaturalNumber0(sK6),
inference(cnf_transformation,[],[f127]) ).
fof(f201,plain,
aNaturalNumber0(sK5),
inference(cnf_transformation,[],[f127]) ).
fof(f202,plain,
aNaturalNumber0(sK4),
inference(cnf_transformation,[],[f127]) ).
fof(f203,plain,
sdtasdt0(sK6,sdtasdt0(sK5,sK5)) = sdtasdt0(sK4,sK4),
inference(cnf_transformation,[],[f127]) ).
fof(f204,plain,
! [X3,X4,X5] :
( ~ isPrime0(X5)
| ~ iLess0(X3,sK4)
| sdtasdt0(X5,sdtasdt0(X4,X4)) != sdtasdt0(X3,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sz00 = X3
| sz00 = X4
| sz00 = X5 ),
inference(cnf_transformation,[],[f127]) ).
fof(f205,plain,
isPrime0(sK6),
inference(cnf_transformation,[],[f127]) ).
fof(f212,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f177]) ).
fof(f213,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f180]) ).
fof(f215,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f178]) ).
fof(f217,plain,
( ~ isPrime0(sz10)
| ~ aNaturalNumber0(sz10) ),
inference(equality_resolution,[],[f187]) ).
fof(f218,definition,
! [X4] : sF7(X4) = sdtasdt0(X4,X4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f219,plain,
! [X4] : sdtasdt0(X4,X4) = sF7(X4),
inference(reorient_equations,[],[f218]) ).
fof(f220,definition,
! [X4,X5] : sF8(X5,X4) = sdtasdt0(X5,sF7(X4)),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f221,plain,
! [X4,X5] : sdtasdt0(X5,sF7(X4)) = sF8(X5,X4),
inference(reorient_equations,[],[f220]) ).
fof(f222,plain,
! [X3,X4,X5] :
( sF8(X5,X4) != sF7(X3)
| ~ iLess0(X3,sK4)
| ~ isPrime0(X5)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| sz00 = X3
| sz00 = X4
| sz00 = X5 ),
inference(definition_folding,[],[f204,f219,f221,f219]) ).
fof(f223,definition,
sF9 = sdtasdt0(sK5,sK5),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f224,plain,
sdtasdt0(sK5,sK5) = sF9,
inference(reorient_equations,[],[f223]) ).
fof(f225,definition,
sF10 = sdtasdt0(sK6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f226,plain,
sdtasdt0(sK6,sF9) = sF10,
inference(reorient_equations,[],[f225]) ).
fof(f227,definition,
sF11 = sdtasdt0(sK4,sK4),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f228,plain,
sdtasdt0(sK4,sK4) = sF11,
inference(reorient_equations,[],[f227]) ).
fof(f229,plain,
sF10 = sF11,
inference(definition_folding,[],[f203,f228,f226,f224]) ).
fof(f232,definition,
( spl12_1
<=> aNaturalNumber0(sz10) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f233,plain,
( aNaturalNumber0(sz10)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f236,definition,
( spl12_2
<=> isPrime0(sz10) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f238,plain,
( ~ isPrime0(sz10)
| spl12_2 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f239,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f217,f236,f232]) ).
fof(f241,definition,
( spl12_3
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f242,plain,
( aNaturalNumber0(sz00)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f249,plain,
spl12_1,
inference(avatar_split_clause,[],[f130,f232]) ).
fof(f250,plain,
spl12_3,
inference(avatar_split_clause,[],[f128,f241]) ).
fof(f251,plain,
sF9 = sF7(sK5),
inference(forward_demodulation,[],[f224,f219]) ).
fof(f252,plain,
sdtasdt0(sK4,sK4) = sF10,
inference(forward_demodulation,[],[f228,f229]) ).
fof(f253,plain,
sF10 = sF7(sK4),
inference(forward_demodulation,[],[f252,f219]) ).
fof(f257,definition,
( spl12_5
<=> aNaturalNumber0(sF9) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f258,plain,
( aNaturalNumber0(sF9)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( ~ aNaturalNumber0(sF9)
| spl12_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl12_6
<=> aNaturalNumber0(sF10) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f263,plain,
( aNaturalNumber0(sF10)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f266,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK4) = sdtasdt0(sK4,X0) ),
inference(resolution,[],[f137,f202]) ).
fof(f267,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK5) = sdtasdt0(sK5,X0) ),
inference(resolution,[],[f137,f201]) ).
fof(f268,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK6) = sdtasdt0(sK6,X0) ),
inference(resolution,[],[f137,f200]) ).
fof(f269,plain,
! [X0] : sF8(X0,sK4) = sdtasdt0(X0,sF10),
inference(superposition,[],[f221,f253]) ).
fof(f270,plain,
! [X0] : sF8(X0,sK5) = sdtasdt0(X0,sF9),
inference(superposition,[],[f221,f251]) ).
fof(f271,plain,
! [X0,X1] :
( aNaturalNumber0(sF8(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF7(X1)) ),
inference(superposition,[],[f132,f221]) ).
fof(f275,plain,
sz00 = sdtasdt0(sK6,sz00),
inference(resolution,[],[f142,f200]) ).
fof(f286,plain,
sz00 = sdtasdt0(sz00,sK5),
inference(resolution,[],[f141,f201]) ).
fof(f305,definition,
( spl12_8
<=> sF9 = sF10 ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
fof(f306,plain,
( sF9 = sF10
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f311,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sK4) = sdtasdt0(X0,sdtasdt0(X1,sK4)) ),
inference(resolution,[],[f138,f202]) ).
fof(f312,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sK5) = sdtasdt0(X0,sdtasdt0(X1,sK5)) ),
inference(resolution,[],[f138,f201]) ).
fof(f313,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sK6) = sdtasdt0(X0,sdtasdt0(X1,sK6)) ),
inference(resolution,[],[f138,f200]) ).
fof(f314,plain,
! [X0,X1] :
( ~ doDivides0(X0,sF8(X0,X1))
| ~ aNaturalNumber0(sF7(X1))
| sz00 = X0
| sF7(X1) = sdtsldt0(sF8(X0,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF8(X0,X1)) ),
inference(superposition,[],[f213,f221]) ).
fof(f317,plain,
( ~ doDivides0(sK6,sF10)
| ~ aNaturalNumber0(sF9)
| sz00 = sK6
| sF9 = sdtsldt0(sF10,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF10) ),
inference(superposition,[],[f213,f226]) ).
fof(f325,plain,
! [X0,X1] :
( ~ doDivides0(X0,sF8(X0,X1))
| ~ aNaturalNumber0(sF7(X1))
| sz00 = X0
| sF7(X1) = sdtsldt0(sF8(X0,X1),X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f314,f271]) ).
fof(f361,plain,
! [X0,X1] :
( doDivides0(X0,sF8(X0,X1))
| ~ aNaturalNumber0(sF7(X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF8(X0,X1)) ),
inference(superposition,[],[f212,f221]) ).
fof(f365,plain,
( doDivides0(sK6,sF10)
| ~ aNaturalNumber0(sF9)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF10) ),
inference(superposition,[],[f212,f226]) ).
fof(f377,plain,
! [X0,X1] :
( doDivides0(X0,sF8(X0,X1))
| ~ aNaturalNumber0(sF7(X1))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f361,f271]) ).
fof(f406,plain,
( sz00 != sF10
| sz00 = sF9
| sz00 = sK6
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9) ),
inference(superposition,[],[f151,f226]) ).
fof(f421,plain,
sdtasdt0(sK5,sK4) = sdtasdt0(sK4,sK5),
inference(resolution,[],[f266,f201]) ).
fof(f422,plain,
sdtasdt0(sK6,sK4) = sdtasdt0(sK4,sK6),
inference(resolution,[],[f266,f200]) ).
fof(f423,plain,
! [X0,X1] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = X1
| iLess0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(resolution,[],[f173,f174]) ).
fof(f428,plain,
! [X0,X1] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = X1
| iLess0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f429,plain,
! [X0,X1] :
( iLess0(X1,sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X1,X0) = X1
| sz00 = X0 ),
inference(forward_subsumption_resolution,[],[f428,f132]) ).
fof(f439,plain,
sdtasdt0(sK6,sK5) = sdtasdt0(sK5,sK6),
inference(resolution,[],[f267,f200]) ).
fof(f441,plain,
! [X0] :
( aNaturalNumber0(sF7(X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f132,f219]) ).
fof(f448,plain,
! [X0] :
( doDivides0(X0,sF7(X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF7(X0)) ),
inference(superposition,[],[f212,f219]) ).
fof(f449,plain,
! [X0] :
( ~ doDivides0(X0,sF7(X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sF7(X0),X0) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF7(X0)) ),
inference(superposition,[],[f213,f219]) ).
fof(f452,plain,
! [X0] :
( ~ doDivides0(X0,sF7(X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sF7(X0),X0) = X0
| ~ aNaturalNumber0(sF7(X0)) ),
inference(duplicate_literal_removal,[],[f449]) ).
fof(f453,plain,
! [X0] :
( doDivides0(X0,sF7(X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF7(X0)) ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f460,plain,
! [X0] :
( aNaturalNumber0(sF7(X0))
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f467,plain,
( aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[],[f460,f253]) ).
fof(f468,plain,
( aNaturalNumber0(sF9)
| ~ aNaturalNumber0(sK5) ),
inference(superposition,[],[f460,f251]) ).
fof(f469,plain,
( ~ aNaturalNumber0(sK5)
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f468,f259]) ).
fof(f470,plain,
aNaturalNumber0(sF10),
inference(forward_subsumption_resolution,[],[f467,f202]) ).
fof(f476,plain,
( $false
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f469,f201]) ).
fof(f477,plain,
spl12_5,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f478,plain,
spl12_6,
inference(avatar_split_clause,[],[f470,f261]) ).
fof(f480,plain,
( ~ doDivides0(sK6,sF10)
| sz00 = sK6
| sF9 = sdtsldt0(sF10,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f317,f258]) ).
fof(f481,plain,
( doDivides0(sK6,sF10)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f365,f258]) ).
fof(f484,plain,
( sz00 != sF10
| sz00 = sF9
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9) ),
inference(forward_subsumption_resolution,[],[f406,f197]) ).
fof(f489,plain,
( ~ doDivides0(sK6,sF10)
| sF9 = sdtsldt0(sF10,sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f480,f197]) ).
fof(f490,plain,
( doDivides0(sK6,sF10)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f481,f200]) ).
fof(f493,plain,
( sz00 != sF10
| sz00 = sF9
| ~ aNaturalNumber0(sF9) ),
inference(forward_subsumption_resolution,[],[f484,f200]) ).
fof(f498,definition,
( spl12_15
<=> sz00 = sF9 ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f500,plain,
( sz00 = sF9
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f509,plain,
( ~ doDivides0(sK6,sF10)
| sF9 = sdtsldt0(sF10,sK6)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f489,f200]) ).
fof(f510,plain,
( doDivides0(sK6,sF10)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f490,f263]) ).
fof(f516,plain,
( sz00 != sF10
| sz00 = sF9
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f493,f258]) ).
fof(f524,plain,
( ~ doDivides0(sK6,sF10)
| sF9 = sdtsldt0(sF10,sK6)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f509,f263]) ).
fof(f526,definition,
( spl12_20
<=> sz00 = sF10 ),
introduced(definition,[new_symbols(definition,[spl12_20])],[avatar_definition]) ).
fof(f528,plain,
( sz00 != sF10
| spl12_20 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,plain,
( spl12_15
| ~ spl12_20
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f516,f257,f526,f498]) ).
fof(f530,plain,
( sF9 = sdtsldt0(sF10,sK6)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f524,f510]) ).
fof(f533,plain,
( sF9 = sdtasdt0(sK6,sF9)
| ~ spl12_15 ),
inference(superposition,[],[f275,f500]) ).
fof(f537,plain,
( sF9 = sF10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f533,f226]) ).
fof(f538,plain,
( spl12_8
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f537,f498,f305]) ).
fof(f539,plain,
( sdtasdt0(sK5,sF9) = sdtasdt0(sF9,sK5)
| ~ spl12_5 ),
inference(resolution,[],[f258,f267]) ).
fof(f540,plain,
( sdtasdt0(sK4,sF9) = sdtasdt0(sF9,sK4)
| ~ spl12_5 ),
inference(resolution,[],[f258,f266]) ).
fof(f541,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sF9) = sdtasdt0(X0,sdtasdt0(X1,sF9)) )
| ~ spl12_5 ),
inference(resolution,[],[f258,f138]) ).
fof(f544,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF9) = sdtasdt0(sF9,X0) )
| ~ spl12_5 ),
inference(resolution,[],[f258,f137]) ).
fof(f637,plain,
! [X0] :
( sdtasdt0(sK6,sF7(X0)) = sdtasdt0(sF7(X0),sK6)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f268,f460]) ).
fof(f638,plain,
( sdtasdt0(sK6,sF9) = sdtasdt0(sF9,sK6)
| ~ spl12_5 ),
inference(resolution,[],[f268,f258]) ).
fof(f639,plain,
( sF10 = sdtasdt0(sF9,sK6)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f638,f226]) ).
fof(f640,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sF8(sK6,X0) = sdtasdt0(sF7(X0),sK6) ),
inference(forward_demodulation,[],[f637,f221]) ).
fof(f713,definition,
( spl12_26
<=> aNaturalNumber0(sdtasdt0(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl12_26])],[avatar_definition]) ).
fof(f714,plain,
( aNaturalNumber0(sdtasdt0(sK4,sK5))
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f715,plain,
( ~ aNaturalNumber0(sdtasdt0(sK4,sK5))
| spl12_26 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f983,definition,
( spl12_29
<=> aNaturalNumber0(sdtasdt0(sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_29])],[avatar_definition]) ).
fof(f984,plain,
( aNaturalNumber0(sdtasdt0(sK4,sK6))
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f985,plain,
( ~ aNaturalNumber0(sdtasdt0(sK4,sK6))
| spl12_29 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1016,plain,
! [X2,X0,X1] :
( ~ doDivides0(X2,sF8(X0,X1))
| doDivides0(X2,sF7(X1))
| ~ isPrime0(X2)
| doDivides0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF7(X1))
| ~ aNaturalNumber0(X2) ),
inference(superposition,[],[f196,f221]) ).
fof(f1017,plain,
! [X0,X1] :
( ~ doDivides0(X1,sF7(X0))
| doDivides0(X1,X0)
| ~ isPrime0(X1)
| doDivides0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(superposition,[],[f196,f219]) ).
fof(f1028,plain,
! [X0,X1] :
( ~ doDivides0(X1,sF7(X0))
| doDivides0(X1,X0)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f1017]) ).
fof(f1035,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF10) = sdtasdt0(sF10,X0) )
| ~ spl12_6 ),
inference(resolution,[],[f263,f137]) ).
fof(f1040,plain,
( sdtasdt0(sF10,sK4) = sdtasdt0(sK4,sF10)
| ~ spl12_6 ),
inference(resolution,[],[f263,f266]) ).
fof(f1042,plain,
( sdtasdt0(sF10,sK6) = sdtasdt0(sK6,sF10)
| ~ spl12_6 ),
inference(resolution,[],[f263,f268]) ).
fof(f1070,plain,
! [X0] :
( sdtasdt0(sK6,X0) != sdtasdt0(sK5,sK6)
| sK5 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5)
| sz00 = sK6
| ~ aNaturalNumber0(sK6) ),
inference(superposition,[],[f148,f439]) ).
fof(f1103,plain,
! [X0] :
( sdtasdt0(sK6,X0) != sdtasdt0(sK5,sK6)
| sK5 = X0
| ~ aNaturalNumber0(X0)
| sz00 = sK6
| ~ aNaturalNumber0(sK6) ),
inference(forward_subsumption_resolution,[],[f1070,f201]) ).
fof(f1122,plain,
! [X0] :
( sdtasdt0(sK6,X0) != sdtasdt0(sK5,sK6)
| sK5 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6) ),
inference(forward_subsumption_resolution,[],[f1103,f197]) ).
fof(f1132,definition,
( spl12_32
<=> aNaturalNumber0(sdtasdt0(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_32])],[avatar_definition]) ).
fof(f1133,plain,
( aNaturalNumber0(sdtasdt0(sK5,sK6))
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1134,plain,
( ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| spl12_32 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1149,plain,
! [X0] :
( sdtasdt0(sK6,X0) != sdtasdt0(sK5,sK6)
| sK5 = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1122,f200]) ).
fof(f1163,plain,
sK4 = sdtasdt0(sK4,sz10),
inference(resolution,[],[f140,f202]) ).
fof(f1223,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK5),sK6) = sdtasdt0(X0,sdtasdt0(sK5,sK6)) ),
inference(resolution,[],[f313,f201]) ).
fof(f1226,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sF9),sK6) = sdtasdt0(X0,sdtasdt0(sF9,sK6)) )
| ~ spl12_5 ),
inference(resolution,[],[f313,f258]) ).
fof(f1229,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF10) = sdtasdt0(sdtasdt0(X0,sF9),sK6) )
| ~ spl12_5 ),
inference(forward_demodulation,[],[f1226,f639]) ).
fof(f1327,plain,
( sz00 != sdtasdt0(sK5,sK6)
| sz00 = sK5
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f1149,f275]) ).
fof(f1334,plain,
( sz00 != sdtasdt0(sK5,sK6)
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f1327,f198]) ).
fof(f1353,plain,
( sz00 != sdtasdt0(sK5,sK6)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f1334,f242]) ).
fof(f1397,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK5),sK5) = sdtasdt0(X0,sdtasdt0(sK5,sK5)) ),
inference(resolution,[],[f312,f201]) ).
fof(f1398,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK6),sK5) = sdtasdt0(X0,sdtasdt0(sK6,sK5)) ),
inference(resolution,[],[f312,f200]) ).
fof(f1400,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sF9),sK5) = sdtasdt0(X0,sdtasdt0(sF9,sK5)) )
| ~ spl12_5 ),
inference(resolution,[],[f312,f258]) ).
fof(f1404,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(sK5,sK6)) = sdtasdt0(sdtasdt0(X0,sK6),sK5) ),
inference(forward_demodulation,[],[f1398,f439]) ).
fof(f1405,plain,
! [X0] :
( sdtasdt0(X0,sF7(sK5)) = sdtasdt0(sdtasdt0(X0,sK5),sK5)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1397,f219]) ).
fof(f1407,plain,
! [X0] :
( sF8(X0,sK5) = sdtasdt0(sdtasdt0(X0,sK5),sK5)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1405,f221]) ).
fof(f1408,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF9) = sdtasdt0(sdtasdt0(X0,sK5),sK5) ),
inference(forward_demodulation,[],[f1407,f270]) ).
fof(f1411,plain,
sdtasdt0(sK4,sF9) = sdtasdt0(sdtasdt0(sK4,sK5),sK5),
inference(resolution,[],[f1408,f202]) ).
fof(f1413,plain,
sdtasdt0(sK6,sF9) = sdtasdt0(sdtasdt0(sK6,sK5),sK5),
inference(resolution,[],[f1408,f200]) ).
fof(f1415,plain,
( sdtasdt0(sF9,sF9) = sdtasdt0(sdtasdt0(sF9,sK5),sK5)
| ~ spl12_5 ),
inference(resolution,[],[f1408,f258]) ).
fof(f1418,plain,
( sF7(sF9) = sdtasdt0(sdtasdt0(sF9,sK5),sK5)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f1415,f219]) ).
fof(f1419,plain,
sdtasdt0(sK6,sF9) = sdtasdt0(sdtasdt0(sK5,sK6),sK5),
inference(forward_demodulation,[],[f1413,f439]) ).
fof(f1421,plain,
( sdtasdt0(sF9,sK4) = sdtasdt0(sdtasdt0(sK4,sK5),sK5)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f1411,f540]) ).
fof(f1423,plain,
sF10 = sdtasdt0(sdtasdt0(sK5,sK6),sK5),
inference(forward_demodulation,[],[f1419,f226]) ).
fof(f1536,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK4),sK4) = sdtasdt0(X0,sdtasdt0(sK4,sK4)) ),
inference(resolution,[],[f311,f202]) ).
fof(f1537,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK5),sK4) = sdtasdt0(X0,sdtasdt0(sK5,sK4)) ),
inference(resolution,[],[f311,f201]) ).
fof(f1538,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK6),sK4) = sdtasdt0(X0,sdtasdt0(sK6,sK4)) ),
inference(resolution,[],[f311,f200]) ).
fof(f1545,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(sK4,sK6)) = sdtasdt0(sdtasdt0(X0,sK6),sK4) ),
inference(forward_demodulation,[],[f1538,f422]) ).
fof(f1546,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtasdt0(sK4,sK5)) = sdtasdt0(sdtasdt0(X0,sK5),sK4) ),
inference(forward_demodulation,[],[f1537,f421]) ).
fof(f1547,plain,
! [X0] :
( sdtasdt0(X0,sF7(sK4)) = sdtasdt0(sdtasdt0(X0,sK4),sK4)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1536,f219]) ).
fof(f1550,plain,
! [X0] :
( sF8(X0,sK4) = sdtasdt0(sdtasdt0(X0,sK4),sK4)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f1547,f221]) ).
fof(f1553,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF10) = sdtasdt0(sdtasdt0(X0,sK4),sK4) ),
inference(forward_demodulation,[],[f1550,f269]) ).
fof(f1555,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF9) = sdtasdt0(sdtasdt0(X0,sK4),sK4) )
| ~ spl12_8 ),
inference(forward_demodulation,[],[f1553,f306]) ).
fof(f1560,plain,
( sdtasdt0(sK6,sF9) = sdtasdt0(sdtasdt0(sK6,sK4),sK4)
| ~ spl12_8 ),
inference(resolution,[],[f1555,f200]) ).
fof(f1566,plain,
( sdtasdt0(sK6,sF9) = sdtasdt0(sdtasdt0(sK4,sK6),sK4)
| ~ spl12_8 ),
inference(forward_demodulation,[],[f1560,f422]) ).
fof(f1572,plain,
( sF10 = sdtasdt0(sdtasdt0(sK4,sK6),sK4)
| ~ spl12_8 ),
inference(forward_demodulation,[],[f1566,f226]) ).
fof(f1578,plain,
( sF9 = sdtasdt0(sdtasdt0(sK4,sK6),sK4)
| ~ spl12_8 ),
inference(forward_demodulation,[],[f1572,f306]) ).
fof(f1588,plain,
( ! [X0] :
( sF9 != sdtasdt0(X0,sK4)
| sdtasdt0(sK4,sK6) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK6))
| sz00 = sK4
| ~ aNaturalNumber0(sK4) )
| ~ spl12_8 ),
inference(superposition,[],[f147,f1578]) ).
fof(f1642,plain,
( sdtasdt0(sK4,sF10) = sdtasdt0(sdtasdt0(sK4,sF9),sK6)
| ~ spl12_5 ),
inference(resolution,[],[f1229,f202]) ).
fof(f1643,plain,
( sdtasdt0(sK5,sF10) = sdtasdt0(sdtasdt0(sK5,sF9),sK6)
| ~ spl12_5 ),
inference(resolution,[],[f1229,f201]) ).
fof(f1646,plain,
( sdtasdt0(sF9,sF10) = sdtasdt0(sdtasdt0(sF9,sF9),sK6)
| ~ spl12_5 ),
inference(resolution,[],[f1229,f258]) ).
fof(f1649,plain,
( sdtasdt0(sF9,sF10) = sdtasdt0(sF7(sF9),sK6)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f1646,f219]) ).
fof(f1652,plain,
( sdtasdt0(sK5,sF10) = sdtasdt0(sdtasdt0(sF9,sK5),sK6)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f1643,f539]) ).
fof(f1653,plain,
( sdtasdt0(sK4,sF10) = sdtasdt0(sdtasdt0(sF9,sK4),sK6)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f1642,f540]) ).
fof(f1684,plain,
( ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK5)
| spl12_26 ),
inference(resolution,[],[f715,f132]) ).
fof(f1685,plain,
( ~ aNaturalNumber0(sK5)
| spl12_26 ),
inference(forward_subsumption_resolution,[],[f1684,f202]) ).
fof(f1686,plain,
( $false
| spl12_26 ),
inference(forward_subsumption_resolution,[],[f1685,f201]) ).
fof(f1687,plain,
spl12_26,
inference(avatar_contradiction_clause,[],[f1686]) ).
fof(f1978,definition,
( spl12_68
<=> aNaturalNumber0(sdtasdt0(sF9,sK4)) ),
introduced(definition,[new_symbols(definition,[spl12_68])],[avatar_definition]) ).
fof(f1979,plain,
( aNaturalNumber0(sdtasdt0(sF9,sK4))
| ~ spl12_68 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f1980,plain,
( ~ aNaturalNumber0(sdtasdt0(sF9,sK4))
| spl12_68 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f2029,definition,
( spl12_79
<=> aNaturalNumber0(sF7(sF9)) ),
introduced(definition,[new_symbols(definition,[spl12_79])],[avatar_definition]) ).
fof(f2030,plain,
( aNaturalNumber0(sF7(sF9))
| ~ spl12_79 ),
inference(avatar_component_clause,[],[f2029]) ).
fof(f2229,definition,
( spl12_102
<=> aNaturalNumber0(sdtasdt0(sF9,sK5)) ),
introduced(definition,[new_symbols(definition,[spl12_102])],[avatar_definition]) ).
fof(f2230,plain,
( aNaturalNumber0(sdtasdt0(sF9,sK5))
| ~ spl12_102 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f2231,plain,
( ~ aNaturalNumber0(sdtasdt0(sF9,sK5))
| spl12_102 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f2299,plain,
( aNaturalNumber0(sF7(sF9))
| ~ aNaturalNumber0(sdtasdt0(sF9,sK5))
| ~ aNaturalNumber0(sK5)
| ~ spl12_5 ),
inference(superposition,[],[f132,f1418]) ).
fof(f2346,plain,
( aNaturalNumber0(sF7(sF9))
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_subsumption_resolution,[],[f2299,f2230]) ).
fof(f2372,plain,
( aNaturalNumber0(sF7(sF9))
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_subsumption_resolution,[],[f2346,f201]) ).
fof(f2417,plain,
( spl12_79
| ~ spl12_5
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f2372,f2229,f257,f2029]) ).
fof(f2551,definition,
( spl12_120
<=> sz10 = sK6 ),
introduced(definition,[new_symbols(definition,[spl12_120])],[avatar_definition]) ).
fof(f2552,plain,
( sz10 != sK6
| spl12_120 ),
inference(avatar_component_clause,[],[f2551]) ).
fof(f2553,plain,
( sz10 = sK6
| ~ spl12_120 ),
inference(avatar_component_clause,[],[f2551]) ).
fof(f2569,plain,
( ~ aNaturalNumber0(sF9)
| ~ aNaturalNumber0(sK4)
| spl12_68 ),
inference(resolution,[],[f1980,f132]) ).
fof(f2570,plain,
( ~ aNaturalNumber0(sK4)
| ~ spl12_5
| spl12_68 ),
inference(forward_subsumption_resolution,[],[f2569,f258]) ).
fof(f2571,plain,
( $false
| ~ spl12_5
| spl12_68 ),
inference(forward_subsumption_resolution,[],[f2570,f202]) ).
fof(f2572,plain,
( ~ spl12_5
| spl12_68 ),
inference(avatar_contradiction_clause,[],[f2571]) ).
fof(f3031,plain,
( doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[],[f212,f1163]) ).
fof(f3032,plain,
( ~ doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sz10)
| sz00 = sK4
| sz10 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK4) ),
inference(superposition,[],[f213,f1163]) ).
fof(f3039,plain,
( ~ doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sz10)
| sz00 = sK4
| sz10 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4) ),
inference(duplicate_literal_removal,[],[f3032]) ).
fof(f3040,plain,
( doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK4) ),
inference(duplicate_literal_removal,[],[f3031]) ).
fof(f3047,plain,
( ~ doDivides0(sK4,sK4)
| sz00 = sK4
| sz10 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f3039,f233]) ).
fof(f3048,plain,
( doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f3040,f233]) ).
fof(f3068,plain,
( ~ doDivides0(sK4,sK4)
| sz10 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f3047,f199]) ).
fof(f3069,plain,
( doDivides0(sK4,sK4)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f3048,f202]) ).
fof(f3089,plain,
( ~ doDivides0(sK4,sK4)
| sz10 = sdtsldt0(sK4,sK4)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f3068,f202]) ).
fof(f3121,plain,
( sz10 = sdtsldt0(sK4,sK4)
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f3089,f3069]) ).
fof(f3232,plain,
( ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK6)
| spl12_29 ),
inference(resolution,[],[f985,f132]) ).
fof(f3233,plain,
( ~ aNaturalNumber0(sK6)
| spl12_29 ),
inference(forward_subsumption_resolution,[],[f3232,f202]) ).
fof(f3234,plain,
( $false
| spl12_29 ),
inference(forward_subsumption_resolution,[],[f3233,f200]) ).
fof(f3235,plain,
spl12_29,
inference(avatar_contradiction_clause,[],[f3234]) ).
fof(f3256,plain,
( ! [X0] :
( sF9 != sdtasdt0(X0,sK4)
| sdtasdt0(sK4,sK6) = X0
| ~ aNaturalNumber0(X0)
| sz00 = sK4
| ~ aNaturalNumber0(sK4) )
| ~ spl12_8
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f1588,f984]) ).
fof(f3280,plain,
( ! [X0] :
( sF9 != sdtasdt0(X0,sK4)
| sdtasdt0(sK4,sK6) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK4) )
| ~ spl12_8
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f3256,f199]) ).
fof(f3303,plain,
( ! [X0] :
( sF9 != sdtasdt0(X0,sK4)
| sdtasdt0(sK4,sK6) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl12_8
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f3280,f202]) ).
fof(f3311,definition,
( spl12_149
<=> sK4 = sdtasdt0(sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl12_149])],[avatar_definition]) ).
fof(f3312,plain,
( sK4 != sdtasdt0(sK4,sK6)
| spl12_149 ),
inference(avatar_component_clause,[],[f3311]) ).
fof(f3313,plain,
( sK4 = sdtasdt0(sK4,sK6)
| ~ spl12_149 ),
inference(avatar_component_clause,[],[f3311]) ).
fof(f3793,plain,
( ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sK6)
| spl12_32 ),
inference(resolution,[],[f1134,f132]) ).
fof(f3794,plain,
( ~ aNaturalNumber0(sK6)
| spl12_32 ),
inference(forward_subsumption_resolution,[],[f3793,f201]) ).
fof(f3795,plain,
( $false
| spl12_32 ),
inference(forward_subsumption_resolution,[],[f3794,f200]) ).
fof(f3796,plain,
spl12_32,
inference(avatar_contradiction_clause,[],[f3795]) ).
fof(f4218,plain,
( isPrime0(sz10)
| ~ spl12_120 ),
inference(superposition,[],[f205,f2553]) ).
fof(f4276,plain,
( $false
| spl12_2
| ~ spl12_120 ),
inference(forward_subsumption_resolution,[],[f4218,f238]) ).
fof(f4277,plain,
( spl12_2
| ~ spl12_120 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4692,plain,
( sdtasdt0(sF7(sF9),sK6) = sdtasdt0(sK6,sF7(sF9))
| ~ spl12_79 ),
inference(resolution,[],[f2030,f268]) ).
fof(f4706,plain,
( sdtasdt0(sF7(sF9),sK6) = sF8(sK6,sF9)
| ~ spl12_79 ),
inference(forward_demodulation,[],[f4692,f221]) ).
fof(f4820,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sK6
| sdtasdt0(X0,sdtsldt0(sF10,sK6)) = sdtsldt0(sdtasdt0(X0,sF10),sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF10) )
| ~ spl12_5
| ~ spl12_6 ),
inference(resolution,[],[f185,f510]) ).
fof(f4825,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sF10,sK6)) = sdtsldt0(sdtasdt0(X0,sF10),sK6)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF10) )
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f4820,f197]) ).
fof(f4829,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sF10,sK6)) = sdtsldt0(sdtasdt0(X0,sF10),sK6)
| ~ aNaturalNumber0(sF10) )
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f4825,f200]) ).
fof(f4831,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sF10,sK6)) = sdtsldt0(sdtasdt0(X0,sF10),sK6) )
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f4829,f263]) ).
fof(f4873,plain,
( ~ doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sK6)
| sz00 = sK4
| sK6 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_149 ),
inference(superposition,[],[f213,f3313]) ).
fof(f4886,plain,
( ~ doDivides0(sK4,sK4)
| ~ aNaturalNumber0(sK6)
| sz00 = sK4
| sK6 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_149 ),
inference(duplicate_literal_removal,[],[f4873]) ).
fof(f4900,plain,
( ~ aNaturalNumber0(sK6)
| sz00 = sK4
| sK6 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_1
| ~ spl12_149 ),
inference(forward_subsumption_resolution,[],[f4886,f3069]) ).
fof(f4928,plain,
( sz00 = sK4
| sK6 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_1
| ~ spl12_149 ),
inference(forward_subsumption_resolution,[],[f4900,f200]) ).
fof(f4955,plain,
( sK6 = sdtsldt0(sK4,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_1
| ~ spl12_149 ),
inference(forward_subsumption_resolution,[],[f4928,f199]) ).
fof(f4989,plain,
( sK6 = sdtsldt0(sK4,sK4)
| ~ spl12_1
| ~ spl12_149 ),
inference(forward_subsumption_resolution,[],[f4955,f202]) ).
fof(f4992,plain,
( sz10 = sK6
| ~ spl12_1
| ~ spl12_149 ),
inference(forward_demodulation,[],[f4989,f3121]) ).
fof(f4994,plain,
( $false
| ~ spl12_1
| spl12_120
| ~ spl12_149 ),
inference(forward_subsumption_resolution,[],[f4992,f2552]) ).
fof(f4995,plain,
( ~ spl12_1
| spl12_120
| ~ spl12_149 ),
inference(avatar_contradiction_clause,[],[f4994]) ).
fof(f5185,plain,
( sdtasdt0(sdtasdt0(sK4,sK5),sK4) = sdtasdt0(sK4,sdtasdt0(sK4,sK5))
| ~ spl12_26 ),
inference(resolution,[],[f714,f266]) ).
fof(f5229,plain,
( doDivides0(sK5,sF9)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF9) ),
inference(superposition,[],[f453,f251]) ).
fof(f5235,plain,
( doDivides0(sK5,sF9)
| ~ aNaturalNumber0(sF9) ),
inference(forward_subsumption_resolution,[],[f5229,f201]) ).
fof(f5241,plain,
( doDivides0(sK5,sF9)
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f5235,f258]) ).
fof(f5258,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sK5
| sdtasdt0(X0,sdtsldt0(sF9,sK5)) = sdtsldt0(sdtasdt0(X0,sF9),sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF9) )
| ~ spl12_5 ),
inference(resolution,[],[f5241,f185]) ).
fof(f5264,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sF9,sK5)) = sdtsldt0(sdtasdt0(X0,sF9),sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF9) )
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f5258,f198]) ).
fof(f5267,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sF9,sK5)) = sdtsldt0(sdtasdt0(X0,sF9),sK5)
| ~ aNaturalNumber0(sF9) )
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f5264,f201]) ).
fof(f5269,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sF9,sK5)) = sdtsldt0(sdtasdt0(X0,sF9),sK5) )
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f5267,f258]) ).
fof(f5314,plain,
( sdtasdt0(sdtasdt0(sK4,sK5),sdtasdt0(sK4,sK5)) = sdtasdt0(sdtasdt0(sdtasdt0(sK4,sK5),sK5),sK4)
| ~ spl12_26 ),
inference(resolution,[],[f1546,f714]) ).
fof(f5327,plain,
( sdtasdt0(sdtasdt0(sF9,sK4),sK4) = sdtasdt0(sdtasdt0(sK4,sK5),sdtasdt0(sK4,sK5))
| ~ spl12_5
| ~ spl12_26 ),
inference(forward_demodulation,[],[f5314,f1421]) ).
fof(f5331,plain,
( sdtasdt0(sdtasdt0(sF9,sK4),sK4) = sF7(sdtasdt0(sK4,sK5))
| ~ spl12_5
| ~ spl12_26 ),
inference(forward_demodulation,[],[f5327,f219]) ).
fof(f5346,plain,
sdtasdt0(sdtasdt0(sK4,sK6),sK4) = sdtasdt0(sK4,sdtasdt0(sK4,sK6)),
inference(resolution,[],[f1545,f202]) ).
fof(f5902,plain,
( sF9 != sF7(sK4)
| sK4 = sdtasdt0(sK4,sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_8
| ~ spl12_29 ),
inference(superposition,[],[f3303,f219]) ).
fof(f5912,plain,
( sF9 != sF7(sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_8
| ~ spl12_29
| spl12_149 ),
inference(forward_subsumption_resolution,[],[f5902,f3312]) ).
fof(f5914,plain,
( sF9 != sF7(sK4)
| ~ spl12_8
| ~ spl12_29
| spl12_149 ),
inference(forward_subsumption_resolution,[],[f5912,f202]) ).
fof(f5920,plain,
( sF9 != sF10
| ~ spl12_8
| ~ spl12_29
| spl12_149 ),
inference(forward_demodulation,[],[f5914,f253]) ).
fof(f5921,plain,
( $false
| ~ spl12_8
| ~ spl12_29
| spl12_149 ),
inference(forward_subsumption_resolution,[],[f5920,f306]) ).
fof(f5922,plain,
( ~ spl12_8
| ~ spl12_29
| spl12_149 ),
inference(avatar_contradiction_clause,[],[f5921]) ).
fof(f5953,plain,
( sdtasdt0(sF9,sF10) = sF8(sK6,sF9)
| ~ spl12_5
| ~ spl12_79 ),
inference(forward_demodulation,[],[f4706,f1649]) ).
fof(f5964,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF9) = sdtsldt0(sdtasdt0(X0,sF10),sK6) )
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_demodulation,[],[f4831,f530]) ).
fof(f6061,plain,
( ~ aNaturalNumber0(sF9)
| ~ aNaturalNumber0(sK5)
| spl12_102 ),
inference(resolution,[],[f2231,f132]) ).
fof(f6062,plain,
( ~ aNaturalNumber0(sK5)
| ~ spl12_5
| spl12_102 ),
inference(forward_subsumption_resolution,[],[f6061,f258]) ).
fof(f6063,plain,
( $false
| ~ spl12_5
| spl12_102 ),
inference(forward_subsumption_resolution,[],[f6062,f201]) ).
fof(f6064,plain,
( ~ spl12_5
| spl12_102 ),
inference(avatar_contradiction_clause,[],[f6063]) ).
fof(f6257,plain,
sdtasdt0(sK5,sF10) = sdtasdt0(sdtasdt0(sK5,sK4),sK4),
inference(resolution,[],[f1553,f201]) ).
fof(f6258,plain,
sdtasdt0(sK6,sF10) = sdtasdt0(sdtasdt0(sK6,sK4),sK4),
inference(resolution,[],[f1553,f200]) ).
fof(f6261,plain,
( sdtasdt0(sdtasdt0(sF9,sK4),sK4) = sdtasdt0(sF9,sF10)
| ~ spl12_5 ),
inference(resolution,[],[f1553,f258]) ).
fof(f6264,plain,
( sF7(sdtasdt0(sK4,sK5)) = sdtasdt0(sF9,sF10)
| ~ spl12_5
| ~ spl12_26 ),
inference(forward_demodulation,[],[f6261,f5331]) ).
fof(f6266,plain,
sdtasdt0(sK6,sF10) = sdtasdt0(sdtasdt0(sK4,sK6),sK4),
inference(forward_demodulation,[],[f6258,f422]) ).
fof(f6267,plain,
sdtasdt0(sK5,sF10) = sdtasdt0(sdtasdt0(sK4,sK5),sK4),
inference(forward_demodulation,[],[f6257,f421]) ).
fof(f6272,plain,
sdtasdt0(sK6,sF10) = sdtasdt0(sK4,sdtasdt0(sK4,sK6)),
inference(forward_demodulation,[],[f6266,f5346]) ).
fof(f6273,plain,
( sdtasdt0(sK5,sF10) = sdtasdt0(sK4,sdtasdt0(sK4,sK5))
| ~ spl12_26 ),
inference(forward_demodulation,[],[f6267,f5185]) ).
fof(f6282,plain,
( aNaturalNumber0(sdtasdt0(sF9,sF10))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK5))
| ~ spl12_5
| ~ spl12_26 ),
inference(superposition,[],[f460,f6264]) ).
fof(f6291,plain,
( aNaturalNumber0(sdtasdt0(sF9,sF10))
| ~ spl12_5
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f6282,f714]) ).
fof(f6328,plain,
( aNaturalNumber0(sdtasdt0(sK6,sF10))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK6)) ),
inference(superposition,[],[f132,f6272]) ).
fof(f6385,plain,
( aNaturalNumber0(sdtasdt0(sK6,sF10))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK6)) ),
inference(forward_subsumption_resolution,[],[f6328,f202]) ).
fof(f6414,plain,
( aNaturalNumber0(sdtasdt0(sK6,sF10))
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f6385,f984]) ).
fof(f6428,definition,
( spl12_222
<=> aNaturalNumber0(sdtasdt0(sK6,sF10)) ),
introduced(definition,[new_symbols(definition,[spl12_222])],[avatar_definition]) ).
fof(f6429,plain,
( aNaturalNumber0(sdtasdt0(sK6,sF10))
| ~ spl12_222 ),
inference(avatar_component_clause,[],[f6428]) ).
fof(f6450,plain,
( spl12_222
| ~ spl12_29 ),
inference(avatar_split_clause,[],[f6414,f983,f6428]) ).
fof(f6476,plain,
( sdtasdt0(sF9,sF9) = sdtsldt0(sdtasdt0(sF9,sF10),sK6)
| ~ spl12_5
| ~ spl12_6 ),
inference(resolution,[],[f5964,f258]) ).
fof(f6479,plain,
( sF7(sF9) = sdtsldt0(sdtasdt0(sF9,sF10),sK6)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_demodulation,[],[f6476,f219]) ).
fof(f6583,definition,
( spl12_226
<=> aNaturalNumber0(sF7(sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_226])],[avatar_definition]) ).
fof(f6584,plain,
( aNaturalNumber0(sF7(sK6))
| ~ spl12_226 ),
inference(avatar_component_clause,[],[f6583]) ).
fof(f6585,plain,
( ~ aNaturalNumber0(sF7(sK6))
| spl12_226 ),
inference(avatar_component_clause,[],[f6583]) ).
fof(f6591,definition,
( spl12_228
<=> sz00 = sF7(sK6) ),
introduced(definition,[new_symbols(definition,[spl12_228])],[avatar_definition]) ).
fof(f6592,plain,
( sz00 != sF7(sK6)
| spl12_228 ),
inference(avatar_component_clause,[],[f6591]) ).
fof(f6593,plain,
( sz00 = sF7(sK6)
| ~ spl12_228 ),
inference(avatar_component_clause,[],[f6591]) ).
fof(f6709,plain,
( ~ aNaturalNumber0(sK6)
| spl12_226 ),
inference(resolution,[],[f6585,f460]) ).
fof(f6713,plain,
( $false
| spl12_226 ),
inference(forward_subsumption_resolution,[],[f6709,f200]) ).
fof(f6714,plain,
spl12_226,
inference(avatar_contradiction_clause,[],[f6713]) ).
fof(f6885,plain,
sdtasdt0(sdtasdt0(sK5,sK6),sK5) = sdtasdt0(sK5,sdtasdt0(sK5,sK6)),
inference(resolution,[],[f1404,f201]) ).
fof(f6886,plain,
sdtasdt0(sK6,sdtasdt0(sK5,sK6)) = sdtasdt0(sdtasdt0(sK6,sK6),sK5),
inference(resolution,[],[f1404,f200]) ).
fof(f6894,plain,
sdtasdt0(sK6,sdtasdt0(sK5,sK6)) = sdtasdt0(sF7(sK6),sK5),
inference(forward_demodulation,[],[f6886,f219]) ).
fof(f6895,plain,
sF10 = sdtasdt0(sK5,sdtasdt0(sK5,sK6)),
inference(forward_demodulation,[],[f6885,f1423]) ).
fof(f6899,plain,
( sdtasdt0(sz00,sK5) = sdtasdt0(sK6,sdtasdt0(sK5,sK6))
| ~ spl12_228 ),
inference(forward_demodulation,[],[f6894,f6593]) ).
fof(f6902,plain,
( sz00 = sdtasdt0(sK6,sdtasdt0(sK5,sK6))
| ~ spl12_228 ),
inference(forward_demodulation,[],[f6899,f286]) ).
fof(f6922,plain,
( doDivides0(sK5,sF10)
| ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF10) ),
inference(superposition,[],[f212,f6895]) ).
fof(f6923,plain,
( ~ doDivides0(sK5,sF10)
| ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| sz00 = sK5
| sdtasdt0(sK5,sK6) = sdtsldt0(sF10,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF10) ),
inference(superposition,[],[f213,f6895]) ).
fof(f6945,plain,
( ~ doDivides0(sK5,sF10)
| sz00 = sK5
| sdtasdt0(sK5,sK6) = sdtsldt0(sF10,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF10)
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f6923,f1133]) ).
fof(f6946,plain,
( doDivides0(sK5,sF10)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF10)
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f6922,f1133]) ).
fof(f6970,plain,
( ~ doDivides0(sK5,sF10)
| sdtasdt0(sK5,sK6) = sdtsldt0(sF10,sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF10)
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f6945,f198]) ).
fof(f6971,plain,
( doDivides0(sK5,sF10)
| ~ aNaturalNumber0(sF10)
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f6946,f201]) ).
fof(f7003,plain,
( ~ doDivides0(sK5,sF10)
| sdtasdt0(sK5,sK6) = sdtsldt0(sF10,sK5)
| ~ aNaturalNumber0(sF10)
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f6970,f201]) ).
fof(f7004,plain,
( doDivides0(sK5,sF10)
| ~ spl12_6
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f6971,f263]) ).
fof(f7019,plain,
( ~ doDivides0(sK5,sF10)
| sdtasdt0(sK5,sK6) = sdtsldt0(sF10,sK5)
| ~ spl12_6
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f7003,f263]) ).
fof(f7021,plain,
( sdtasdt0(sK5,sK6) = sdtsldt0(sF10,sK5)
| ~ spl12_6
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f7019,f7004]) ).
fof(f7034,plain,
( sz00 != sz00
| sz00 = sdtasdt0(sK5,sK6)
| sz00 = sK6
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| ~ spl12_228 ),
inference(superposition,[],[f151,f6902]) ).
fof(f7059,plain,
( sz00 = sdtasdt0(sK5,sK6)
| sz00 = sK6
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| ~ spl12_228 ),
inference(trivial_inequality_removal,[],[f7034]) ).
fof(f7083,plain,
( sz00 = sK6
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| ~ spl12_3
| ~ spl12_228 ),
inference(forward_subsumption_resolution,[],[f7059,f1353]) ).
fof(f7112,plain,
( ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| ~ spl12_3
| ~ spl12_228 ),
inference(forward_subsumption_resolution,[],[f7083,f197]) ).
fof(f7141,plain,
( ~ aNaturalNumber0(sdtasdt0(sK5,sK6))
| ~ spl12_3
| ~ spl12_228 ),
inference(forward_subsumption_resolution,[],[f7112,f200]) ).
fof(f7171,plain,
( $false
| ~ spl12_3
| ~ spl12_32
| ~ spl12_228 ),
inference(forward_subsumption_resolution,[],[f7141,f1133]) ).
fof(f7172,plain,
( ~ spl12_3
| ~ spl12_32
| ~ spl12_228 ),
inference(avatar_contradiction_clause,[],[f7171]) ).
fof(f7668,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK6),sF9) = sdtasdt0(X0,sdtasdt0(sK6,sF9)) )
| ~ spl12_5 ),
inference(resolution,[],[f541,f200]) ).
fof(f7671,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sF9),sF9) = sdtasdt0(X0,sdtasdt0(sF9,sF9)) )
| ~ spl12_5 ),
inference(resolution,[],[f541,f258]) ).
fof(f7674,plain,
( ! [X0] :
( sdtasdt0(X0,sF7(sF9)) = sdtasdt0(sdtasdt0(X0,sF9),sF9)
| ~ aNaturalNumber0(X0) )
| ~ spl12_5 ),
inference(forward_demodulation,[],[f7671,f219]) ).
fof(f7677,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF10) = sdtasdt0(sdtasdt0(X0,sK6),sF9) )
| ~ spl12_5 ),
inference(forward_demodulation,[],[f7668,f226]) ).
fof(f7683,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sF8(X0,sF9) = sdtasdt0(sdtasdt0(X0,sF9),sF9) )
| ~ spl12_5 ),
inference(forward_demodulation,[],[f7674,f221]) ).
fof(f7691,plain,
( sF8(sK5,sF9) = sdtasdt0(sdtasdt0(sK5,sF9),sF9)
| ~ spl12_5 ),
inference(resolution,[],[f7683,f201]) ).
fof(f7701,plain,
( sdtasdt0(sdtasdt0(sF9,sK5),sF9) = sF8(sK5,sF9)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f7691,f539]) ).
fof(f7947,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(sF9,sK5)),sK5) = sdtasdt0(X0,sdtasdt0(sdtasdt0(sF9,sK5),sK5)) )
| ~ spl12_102 ),
inference(resolution,[],[f2230,f312]) ).
fof(f7952,plain,
( sF8(sK6,sdtasdt0(sF9,sK5)) = sdtasdt0(sF7(sdtasdt0(sF9,sK5)),sK6)
| ~ spl12_102 ),
inference(resolution,[],[f2230,f640]) ).
fof(f7953,plain,
( sdtasdt0(sdtasdt0(sF9,sK5),sF10) = sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK5),sF9),sK6)
| ~ spl12_5
| ~ spl12_102 ),
inference(resolution,[],[f2230,f1229]) ).
fof(f7960,plain,
( sdtasdt0(sdtasdt0(sF9,sK5),sF10) = sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK5),sK6),sF9)
| ~ spl12_5
| ~ spl12_102 ),
inference(resolution,[],[f2230,f7677]) ).
fof(f7963,plain,
( sdtasdt0(sdtasdt0(sF9,sK5),sF10) = sdtasdt0(sdtasdt0(sK5,sF10),sF9)
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_demodulation,[],[f7960,f1652]) ).
fof(f7970,plain,
( sdtasdt0(sdtasdt0(sF9,sK5),sF10) = sdtasdt0(sF8(sK5,sF9),sK6)
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_demodulation,[],[f7953,f7701]) ).
fof(f7974,plain,
( ! [X0] :
( sdtasdt0(X0,sF7(sF9)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(sF9,sK5)),sK5)
| ~ aNaturalNumber0(X0) )
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_demodulation,[],[f7947,f1418]) ).
fof(f7984,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sF8(X0,sF9) = sdtasdt0(sdtasdt0(X0,sdtasdt0(sF9,sK5)),sK5) )
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_demodulation,[],[f7974,f221]) ).
fof(f8432,plain,
! [X0] :
( ~ doDivides0(X0,sF10)
| doDivides0(X0,sK4)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f1028,f253]) ).
fof(f8433,plain,
! [X0] :
( ~ doDivides0(X0,sF9)
| doDivides0(X0,sK5)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f1028,f251]) ).
fof(f8435,plain,
! [X0] :
( ~ doDivides0(X0,sF9)
| doDivides0(X0,sK5)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f8433,f201]) ).
fof(f8436,plain,
! [X0] :
( ~ doDivides0(X0,sF10)
| doDivides0(X0,sK4)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f8432,f202]) ).
fof(f8459,plain,
( doDivides0(sK6,sK4)
| ~ isPrime0(sK6)
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6 ),
inference(resolution,[],[f8436,f510]) ).
fof(f8461,plain,
( doDivides0(sK6,sK4)
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f8459,f205]) ).
fof(f8462,plain,
( doDivides0(sK6,sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f8461,f200]) ).
fof(f12269,plain,
( aNaturalNumber0(sdtsldt0(sF10,sK5))
| ~ spl12_6
| ~ spl12_32 ),
inference(superposition,[],[f1133,f7021]) ).
fof(f13462,plain,
( doDivides0(sK6,sdtasdt0(sF9,sF10))
| ~ aNaturalNumber0(sF7(sF9))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_79 ),
inference(superposition,[],[f377,f5953]) ).
fof(f13466,plain,
( doDivides0(sK6,sdtasdt0(sF9,sF10))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_79 ),
inference(forward_subsumption_resolution,[],[f13462,f2030]) ).
fof(f13469,plain,
( doDivides0(sK6,sdtasdt0(sF9,sF10))
| ~ spl12_5
| ~ spl12_79 ),
inference(forward_subsumption_resolution,[],[f13466,f200]) ).
fof(f14040,definition,
( spl12_436
<=> aNaturalNumber0(sF7(sdtasdt0(sF9,sK5))) ),
introduced(definition,[new_symbols(definition,[spl12_436])],[avatar_definition]) ).
fof(f14041,plain,
( aNaturalNumber0(sF7(sdtasdt0(sF9,sK5)))
| ~ spl12_436 ),
inference(avatar_component_clause,[],[f14040]) ).
fof(f14042,plain,
( ~ aNaturalNumber0(sF7(sdtasdt0(sF9,sK5)))
| spl12_436 ),
inference(avatar_component_clause,[],[f14040]) ).
fof(f14335,plain,
( sz00 = sK6
| sK4 = sdtasdt0(sK6,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(resolution,[],[f215,f8462]) ).
fof(f14353,plain,
( sK4 = sdtasdt0(sK6,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f14335,f197]) ).
fof(f14377,plain,
( sK4 = sdtasdt0(sK6,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f14353,f200]) ).
fof(f14397,plain,
( sK4 = sdtasdt0(sK6,sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f14377,f202]) ).
fof(f14501,definition,
( spl12_454
<=> aNaturalNumber0(sdtsldt0(sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_454])],[avatar_definition]) ).
fof(f14502,plain,
( aNaturalNumber0(sdtsldt0(sK4,sK6))
| ~ spl12_454 ),
inference(avatar_component_clause,[],[f14501]) ).
fof(f14503,plain,
( ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| spl12_454 ),
inference(avatar_component_clause,[],[f14501]) ).
fof(f14513,definition,
( spl12_457
<=> sz00 = sdtsldt0(sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl12_457])],[avatar_definition]) ).
fof(f14514,plain,
( sz00 != sdtsldt0(sK4,sK6)
| spl12_457 ),
inference(avatar_component_clause,[],[f14513]) ).
fof(f14515,plain,
( sz00 = sdtsldt0(sK4,sK6)
| ~ spl12_457 ),
inference(avatar_component_clause,[],[f14513]) ).
fof(f14929,definition,
( spl12_517
<=> sK5 = sdtsldt0(sF9,sK5) ),
introduced(definition,[new_symbols(definition,[spl12_517])],[avatar_definition]) ).
fof(f14930,plain,
( sK5 != sdtsldt0(sF9,sK5)
| spl12_517 ),
inference(avatar_component_clause,[],[f14929]) ).
fof(f14931,plain,
( sK5 = sdtsldt0(sF9,sK5)
| ~ spl12_517 ),
inference(avatar_component_clause,[],[f14929]) ).
fof(f15653,plain,
( ~ aNaturalNumber0(sdtasdt0(sF9,sK5))
| spl12_436 ),
inference(resolution,[],[f14042,f460]) ).
fof(f15654,plain,
( $false
| ~ spl12_102
| spl12_436 ),
inference(forward_subsumption_resolution,[],[f15653,f2230]) ).
fof(f15655,plain,
( ~ spl12_102
| spl12_436 ),
inference(avatar_contradiction_clause,[],[f15654]) ).
fof(f15713,plain,
( aNaturalNumber0(sdtasdt0(sK5,sF10))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sdtasdt0(sK4,sK5))
| ~ spl12_26 ),
inference(superposition,[],[f132,f6273]) ).
fof(f15775,plain,
( aNaturalNumber0(sdtasdt0(sK5,sF10))
| ~ aNaturalNumber0(sdtasdt0(sK4,sK5))
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f15713,f202]) ).
fof(f15807,plain,
( aNaturalNumber0(sdtasdt0(sK5,sF10))
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f15775,f714]) ).
fof(f15824,definition,
( spl12_586
<=> aNaturalNumber0(sdtasdt0(sK5,sF10)) ),
introduced(definition,[new_symbols(definition,[spl12_586])],[avatar_definition]) ).
fof(f15825,plain,
( aNaturalNumber0(sdtasdt0(sK5,sF10))
| ~ spl12_586 ),
inference(avatar_component_clause,[],[f15824]) ).
fof(f15846,plain,
( spl12_586
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f15807,f713,f15824]) ).
fof(f15907,plain,
( sdtasdt0(sdtasdt0(sF9,sK5),sF10) = sdtasdt0(sF10,sdtasdt0(sF9,sK5))
| ~ spl12_6
| ~ spl12_102 ),
inference(resolution,[],[f1035,f2230]) ).
fof(f17421,plain,
( sK4 = sdtasdt0(sK6,sK1(sK6,sK4))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(resolution,[],[f175,f8462]) ).
fof(f17442,plain,
( sK4 = sdtasdt0(sK6,sK1(sK6,sK4))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f17421,f200]) ).
fof(f17468,plain,
( sK4 = sdtasdt0(sK6,sK1(sK6,sK4))
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f17442,f202]) ).
fof(f17511,plain,
( ~ doDivides0(sK6,sK4)
| ~ aNaturalNumber0(sK1(sK6,sK4))
| sz00 = sK6
| sdtsldt0(sK4,sK6) = sK1(sK6,sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(superposition,[],[f213,f17468]) ).
fof(f17545,plain,
( ~ doDivides0(sK6,sK4)
| sz00 = sK6
| sdtsldt0(sK4,sK6) = sK1(sK6,sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f17511,f176]) ).
fof(f17628,plain,
( sz00 = sK6
| sdtsldt0(sK4,sK6) = sK1(sK6,sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f17545,f8462]) ).
fof(f17709,plain,
( sdtsldt0(sK4,sK6) = sK1(sK6,sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f17628,f197]) ).
fof(f17731,plain,
( sdtsldt0(sK4,sK6) = sK1(sK6,sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f17709,f200]) ).
fof(f17732,plain,
( sdtsldt0(sK4,sK6) = sK1(sK6,sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f17731,f202]) ).
fof(f23777,definition,
( spl12_874
<=> aNaturalNumber0(sF8(sK5,sF9)) ),
introduced(definition,[new_symbols(definition,[spl12_874])],[avatar_definition]) ).
fof(f23778,plain,
( aNaturalNumber0(sF8(sK5,sF9))
| ~ spl12_874 ),
inference(avatar_component_clause,[],[f23777]) ).
fof(f23779,plain,
( ~ aNaturalNumber0(sF8(sK5,sF9))
| spl12_874 ),
inference(avatar_component_clause,[],[f23777]) ).
fof(f23837,plain,
( ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sF7(sF9))
| spl12_874 ),
inference(resolution,[],[f23779,f271]) ).
fof(f23838,plain,
( ~ aNaturalNumber0(sF7(sF9))
| spl12_874 ),
inference(forward_subsumption_resolution,[],[f23837,f201]) ).
fof(f23839,plain,
( $false
| ~ spl12_79
| spl12_874 ),
inference(forward_subsumption_resolution,[],[f23838,f2030]) ).
fof(f23840,plain,
( ~ spl12_79
| spl12_874 ),
inference(avatar_contradiction_clause,[],[f23839]) ).
fof(f26165,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK5),sF9),sK5) = sdtasdt0(sdtasdt0(sF9,sK5),sdtasdt0(sF9,sK5))
| ~ spl12_5
| ~ spl12_102 ),
inference(resolution,[],[f1400,f2230]) ).
fof(f26187,plain,
( sF7(sdtasdt0(sF9,sK5)) = sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK5),sF9),sK5)
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_demodulation,[],[f26165,f219]) ).
fof(f26208,plain,
( sF7(sdtasdt0(sF9,sK5)) = sdtasdt0(sF8(sK5,sF9),sK5)
| ~ spl12_5
| ~ spl12_102 ),
inference(forward_demodulation,[],[f26187,f7701]) ).
fof(f27986,plain,
( aNaturalNumber0(sdtsldt0(sK4,sK6))
| ~ doDivides0(sK6,sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6 ),
inference(superposition,[],[f176,f17732]) ).
fof(f27990,plain,
( ~ doDivides0(sK6,sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| spl12_454 ),
inference(forward_subsumption_resolution,[],[f27986,f14503]) ).
fof(f27994,plain,
( ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| spl12_454 ),
inference(forward_subsumption_resolution,[],[f27990,f8462]) ).
fof(f27996,plain,
( ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| spl12_454 ),
inference(forward_subsumption_resolution,[],[f27994,f200]) ).
fof(f27999,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| spl12_454 ),
inference(forward_subsumption_resolution,[],[f27996,f202]) ).
fof(f28000,plain,
( ~ spl12_5
| ~ spl12_6
| spl12_454 ),
inference(avatar_contradiction_clause,[],[f27999]) ).
fof(f28113,plain,
( sK4 = sdtasdt0(sK6,sz00)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_457 ),
inference(superposition,[],[f14397,f14515]) ).
fof(f28114,plain,
( sz00 = sK4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_457 ),
inference(forward_demodulation,[],[f28113,f275]) ).
fof(f28115,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| ~ spl12_457 ),
inference(forward_subsumption_resolution,[],[f28114,f199]) ).
fof(f28116,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_457 ),
inference(avatar_contradiction_clause,[],[f28115]) ).
fof(f28192,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sK4,sK6)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sK4,sK6))) )
| ~ spl12_454 ),
inference(resolution,[],[f14502,f138]) ).
fof(f28200,plain,
( sdtasdt0(sK6,sdtsldt0(sK4,sK6)) = sdtasdt0(sdtsldt0(sK4,sK6),sK6)
| ~ spl12_454 ),
inference(resolution,[],[f14502,f268]) ).
fof(f28264,plain,
( sK4 = sdtasdt0(sdtsldt0(sK4,sK6),sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28200,f14397]) ).
fof(f28293,plain,
( doDivides0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(superposition,[],[f212,f28264]) ).
fof(f28294,plain,
( ~ doDivides0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sK6)
| sz00 = sdtsldt0(sK4,sK6)
| sK6 = sdtsldt0(sK4,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(superposition,[],[f213,f28264]) ).
fof(f28295,plain,
( iLess0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| sK4 = sdtsldt0(sK4,sK6)
| sz00 = sK6
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(superposition,[],[f429,f28264]) ).
fof(f28324,plain,
( iLess0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| sK4 = sdtsldt0(sK4,sK6)
| sz00 = sK6
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28295,f200]) ).
fof(f28325,plain,
( ~ doDivides0(sdtsldt0(sK4,sK6),sK4)
| sz00 = sdtsldt0(sK4,sK6)
| sK6 = sdtsldt0(sK4,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28294,f200]) ).
fof(f28326,plain,
( doDivides0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28293,f200]) ).
fof(f28350,plain,
( iLess0(sdtsldt0(sK4,sK6),sK4)
| sK4 = sdtsldt0(sK4,sK6)
| sz00 = sK6
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28324,f14502]) ).
fof(f28351,plain,
( ~ doDivides0(sdtsldt0(sK4,sK6),sK4)
| sK6 = sdtsldt0(sK4,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454
| spl12_457 ),
inference(forward_subsumption_resolution,[],[f28325,f14514]) ).
fof(f28352,plain,
( doDivides0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28326,f14502]) ).
fof(f28388,plain,
( iLess0(sdtsldt0(sK4,sK6),sK4)
| sK4 = sdtsldt0(sK4,sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28350,f197]) ).
fof(f28389,plain,
( ~ doDivides0(sdtsldt0(sK4,sK6),sK4)
| sK6 = sdtsldt0(sK4,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454
| spl12_457 ),
inference(forward_subsumption_resolution,[],[f28351,f14502]) ).
fof(f28390,plain,
( doDivides0(sdtsldt0(sK4,sK6),sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28352,f202]) ).
fof(f28406,definition,
( spl12_1094
<=> sK4 = sdtsldt0(sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl12_1094])],[avatar_definition]) ).
fof(f28408,plain,
( sK4 = sdtsldt0(sK4,sK6)
| ~ spl12_1094 ),
inference(avatar_component_clause,[],[f28406]) ).
fof(f28410,definition,
( spl12_1095
<=> iLess0(sdtsldt0(sK4,sK6),sK4) ),
introduced(definition,[new_symbols(definition,[spl12_1095])],[avatar_definition]) ).
fof(f28412,plain,
( iLess0(sdtsldt0(sK4,sK6),sK4)
| ~ spl12_1095 ),
inference(avatar_component_clause,[],[f28410]) ).
fof(f28413,plain,
( spl12_1094
| spl12_1095
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(avatar_split_clause,[],[f28388,f14501,f261,f257,f28410,f28406]) ).
fof(f28414,plain,
( ~ doDivides0(sdtsldt0(sK4,sK6),sK4)
| sK6 = sdtsldt0(sK4,sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454
| spl12_457 ),
inference(forward_subsumption_resolution,[],[f28389,f202]) ).
fof(f28415,plain,
( sK6 = sdtsldt0(sK4,sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454
| spl12_457 ),
inference(forward_subsumption_resolution,[],[f28414,f28390]) ).
fof(f28452,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sdtsldt0(sK4,sK6)),sdtsldt0(sK4,sK6)) = sdtasdt0(X0,sdtasdt0(sdtsldt0(sK4,sK6),sdtsldt0(sK4,sK6))) )
| ~ spl12_454 ),
inference(resolution,[],[f28192,f14502]) ).
fof(f28457,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK6),sdtsldt0(sK4,sK6)) = sdtasdt0(X0,sdtasdt0(sK6,sdtsldt0(sK4,sK6))) )
| ~ spl12_454 ),
inference(resolution,[],[f28192,f200]) ).
fof(f28469,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK4) = sdtasdt0(sdtasdt0(X0,sK6),sdtsldt0(sK4,sK6)) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28457,f14397]) ).
fof(f28470,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtsldt0(sK4,sK6)),sdtsldt0(sK4,sK6)) = sdtasdt0(X0,sF7(sdtsldt0(sK4,sK6)))
| ~ aNaturalNumber0(X0) )
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28452,f219]) ).
fof(f28475,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sF8(X0,sdtsldt0(sK4,sK6)) = sdtasdt0(sdtasdt0(X0,sdtsldt0(sK4,sK6)),sdtsldt0(sK4,sK6)) )
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28470,f221]) ).
fof(f28489,plain,
( sdtasdt0(sdtasdt0(sF9,sK4),sK4) = sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK4),sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_68
| ~ spl12_454 ),
inference(resolution,[],[f28469,f1979]) ).
fof(f28494,plain,
( sdtasdt0(sK4,sK4) = sdtasdt0(sdtasdt0(sK4,sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(resolution,[],[f28469,f202]) ).
fof(f28496,plain,
( sdtasdt0(sK6,sK4) = sdtasdt0(sdtasdt0(sK6,sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(resolution,[],[f28469,f200]) ).
fof(f28504,plain,
( sdtasdt0(sF10,sK4) = sdtasdt0(sdtasdt0(sF10,sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(resolution,[],[f28469,f263]) ).
fof(f28505,plain,
( sdtasdt0(sF10,sK4) = sdtasdt0(sdtasdt0(sK6,sF10),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28504,f1042]) ).
fof(f28511,plain,
( sdtasdt0(sK6,sK4) = sdtasdt0(sF7(sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28496,f219]) ).
fof(f28513,plain,
( sF7(sK4) = sdtasdt0(sdtasdt0(sK4,sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28494,f219]) ).
fof(f28516,plain,
( sdtasdt0(sdtasdt0(sF9,sK4),sK4) = sdtasdt0(sdtasdt0(sK4,sF10),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_68
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28489,f1653]) ).
fof(f28528,plain,
( sdtasdt0(sK4,sF10) = sdtasdt0(sdtasdt0(sK6,sF10),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28505,f1040]) ).
fof(f28533,plain,
( sdtasdt0(sK4,sK6) = sdtasdt0(sF7(sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28511,f422]) ).
fof(f28535,plain,
( sF10 = sdtasdt0(sdtasdt0(sK4,sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28513,f253]) ).
fof(f28537,plain,
( sF7(sdtasdt0(sK4,sK5)) = sdtasdt0(sdtasdt0(sK4,sF10),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28516,f5331]) ).
fof(f28552,plain,
( sdtasdt0(sF9,sF10) = sdtasdt0(sdtasdt0(sK4,sF10),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28537,f6264]) ).
fof(f28827,plain,
( sF8(sF7(sK6),sdtsldt0(sK4,sK6)) = sdtasdt0(sdtasdt0(sF7(sK6),sdtsldt0(sK4,sK6)),sdtsldt0(sK4,sK6))
| ~ spl12_226
| ~ spl12_454 ),
inference(resolution,[],[f28475,f6584]) ).
fof(f28835,plain,
( sdtasdt0(sdtasdt0(sK4,sK6),sdtsldt0(sK4,sK6)) = sF8(sF7(sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28827,f28533]) ).
fof(f28844,plain,
( sF10 = sF8(sF7(sK6),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| ~ spl12_454 ),
inference(forward_demodulation,[],[f28835,f28535]) ).
fof(f28852,plain,
( ~ doDivides0(sF7(sK6),sF10)
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| sz00 = sF7(sK6)
| sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF10,sF7(sK6))
| ~ aNaturalNumber0(sF7(sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| ~ spl12_454 ),
inference(superposition,[],[f325,f28844]) ).
fof(f28853,plain,
( doDivides0(sF7(sK6),sF10)
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| ~ aNaturalNumber0(sF7(sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| ~ spl12_454 ),
inference(superposition,[],[f377,f28844]) ).
fof(f28857,plain,
( doDivides0(sF7(sK6),sF10)
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28853,f6584]) ).
fof(f28858,plain,
( ~ doDivides0(sF7(sK6),sF10)
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF10,sF7(sK6))
| ~ aNaturalNumber0(sF7(sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| spl12_228
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28852,f6592]) ).
fof(f28860,definition,
( spl12_1107
<=> aNaturalNumber0(sF7(sdtsldt0(sK4,sK6))) ),
introduced(definition,[new_symbols(definition,[spl12_1107])],[avatar_definition]) ).
fof(f28861,plain,
( aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| ~ spl12_1107 ),
inference(avatar_component_clause,[],[f28860]) ).
fof(f28862,plain,
( ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| spl12_1107 ),
inference(avatar_component_clause,[],[f28860]) ).
fof(f28864,definition,
( spl12_1108
<=> doDivides0(sF7(sK6),sF10) ),
introduced(definition,[new_symbols(definition,[spl12_1108])],[avatar_definition]) ).
fof(f28867,plain,
( ~ spl12_1107
| spl12_1108
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| ~ spl12_454 ),
inference(avatar_split_clause,[],[f28857,f14501,f6583,f261,f257,f28864,f28860]) ).
fof(f28868,plain,
( ~ doDivides0(sF7(sK6),sF10)
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF10,sF7(sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| spl12_228
| ~ spl12_454 ),
inference(forward_subsumption_resolution,[],[f28858,f6584]) ).
fof(f28870,definition,
( spl12_1109
<=> sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF10,sF7(sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_1109])],[avatar_definition]) ).
fof(f28872,plain,
( sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF10,sF7(sK6))
| ~ spl12_1109 ),
inference(avatar_component_clause,[],[f28870]) ).
fof(f28873,plain,
( spl12_1109
| ~ spl12_1107
| ~ spl12_1108
| ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| spl12_228
| ~ spl12_454 ),
inference(avatar_split_clause,[],[f28868,f14501,f6591,f6583,f261,f257,f28864,f28860,f28870]) ).
fof(f28874,plain,
( ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| spl12_1107 ),
inference(resolution,[],[f28862,f460]) ).
fof(f28875,plain,
( $false
| ~ spl12_454
| spl12_1107 ),
inference(forward_subsumption_resolution,[],[f28874,f14502]) ).
fof(f28876,plain,
( ~ spl12_454
| spl12_1107 ),
inference(avatar_contradiction_clause,[],[f28875]) ).
fof(f30337,plain,
( sF8(sdtasdt0(sK6,sF10),sdtsldt0(sK4,sK6)) = sdtasdt0(sdtasdt0(sdtasdt0(sK6,sF10),sdtsldt0(sK4,sK6)),sdtsldt0(sK4,sK6))
| ~ spl12_222
| ~ spl12_454 ),
inference(resolution,[],[f6429,f28475]) ).
fof(f30340,plain,
( sdtasdt0(sdtasdt0(sK4,sF10),sdtsldt0(sK4,sK6)) = sF8(sdtasdt0(sK6,sF10),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_222
| ~ spl12_454 ),
inference(forward_demodulation,[],[f30337,f28528]) ).
fof(f30775,plain,
( sdtasdt0(sF9,sF10) = sF8(sdtasdt0(sK6,sF10),sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_222
| ~ spl12_454 ),
inference(forward_demodulation,[],[f30340,f28552]) ).
fof(f35210,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(sK5,sF10),sF9),sK5) = sdtasdt0(sdtasdt0(sK5,sF10),sdtasdt0(sF9,sK5))
| ~ spl12_5
| ~ spl12_586 ),
inference(resolution,[],[f15825,f1400]) ).
fof(f35288,plain,
( sdtasdt0(sdtasdt0(sK5,sF10),sdtasdt0(sF9,sK5)) = sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK5),sF10),sK5)
| ~ spl12_5
| ~ spl12_102
| ~ spl12_586 ),
inference(forward_demodulation,[],[f35210,f7963]) ).
fof(f35326,plain,
( sdtasdt0(sdtasdt0(sK5,sF10),sdtasdt0(sF9,sK5)) = sdtasdt0(sdtasdt0(sF10,sdtasdt0(sF9,sK5)),sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_102
| ~ spl12_586 ),
inference(forward_demodulation,[],[f35288,f15907]) ).
fof(f35459,plain,
( sdtasdt0(sF8(sK5,sF9),sdtasdt0(sK5,sK6)) = sdtasdt0(sdtasdt0(sF8(sK5,sF9),sK6),sK5)
| ~ spl12_874 ),
inference(resolution,[],[f23778,f1404]) ).
fof(f35544,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK5),sF10),sK5) = sdtasdt0(sF8(sK5,sF9),sdtasdt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_102
| ~ spl12_874 ),
inference(forward_demodulation,[],[f35459,f7970]) ).
fof(f35585,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(sF9,sK5),sF10),sK5) = sdtasdt0(sF8(sK5,sF9),sdtsldt0(sF10,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_874 ),
inference(forward_demodulation,[],[f35544,f7021]) ).
fof(f35615,plain,
( sdtasdt0(sdtasdt0(sF10,sdtasdt0(sF9,sK5)),sK5) = sdtasdt0(sF8(sK5,sF9),sdtsldt0(sF10,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_874 ),
inference(forward_demodulation,[],[f35585,f15907]) ).
fof(f35737,plain,
( sdtasdt0(sdtasdt0(sK5,sF10),sdtasdt0(sF9,sK5)) = sdtasdt0(sF8(sK5,sF9),sdtsldt0(sF10,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_586
| ~ spl12_874 ),
inference(forward_demodulation,[],[f35615,f35326]) ).
fof(f55912,plain,
( sdtasdt0(sF8(sK5,sF9),sdtasdt0(sK5,sK6)) = sdtasdt0(sdtasdt0(sF8(sK5,sF9),sK5),sK6)
| ~ spl12_874 ),
inference(resolution,[],[f1223,f23778]) ).
fof(f55925,plain,
( sdtasdt0(sF7(sdtasdt0(sF9,sK5)),sK6) = sdtasdt0(sF8(sK5,sF9),sdtasdt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_102
| ~ spl12_874 ),
inference(forward_demodulation,[],[f55912,f26208]) ).
fof(f55966,plain,
( sdtasdt0(sF7(sdtasdt0(sF9,sK5)),sK6) = sdtasdt0(sF8(sK5,sF9),sdtsldt0(sF10,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_874 ),
inference(forward_demodulation,[],[f55925,f7021]) ).
fof(f56001,plain,
( sdtasdt0(sF7(sdtasdt0(sF9,sK5)),sK6) = sdtasdt0(sdtasdt0(sK5,sF10),sdtasdt0(sF9,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_586
| ~ spl12_874 ),
inference(forward_demodulation,[],[f55966,f35737]) ).
fof(f56026,plain,
( sF8(sK6,sdtasdt0(sF9,sK5)) = sdtasdt0(sdtasdt0(sK5,sF10),sdtasdt0(sF9,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_586
| ~ spl12_874 ),
inference(forward_demodulation,[],[f56001,f7952]) ).
fof(f56691,plain,
( sF8(sF10,sF9) = sdtasdt0(sdtasdt0(sF10,sdtasdt0(sF9,sK5)),sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_102 ),
inference(resolution,[],[f7984,f263]) ).
fof(f56692,plain,
( sF8(sF10,sF9) = sdtasdt0(sdtasdt0(sK5,sF10),sdtasdt0(sF9,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_102
| ~ spl12_586 ),
inference(forward_demodulation,[],[f56691,f35326]) ).
fof(f56717,plain,
( sF8(sF10,sF9) = sF8(sK6,sdtasdt0(sF9,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_586
| ~ spl12_874 ),
inference(forward_demodulation,[],[f56692,f56026]) ).
fof(f56773,plain,
( doDivides0(sK6,sF8(sF10,sF9))
| ~ aNaturalNumber0(sF7(sdtasdt0(sF9,sK5)))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_586
| ~ spl12_874 ),
inference(superposition,[],[f377,f56717]) ).
fof(f56781,plain,
( doDivides0(sK6,sF8(sF10,sF9))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_436
| ~ spl12_586
| ~ spl12_874 ),
inference(forward_subsumption_resolution,[],[f56773,f14041]) ).
fof(f56788,plain,
( doDivides0(sK6,sF8(sF10,sF9))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_436
| ~ spl12_586
| ~ spl12_874 ),
inference(forward_subsumption_resolution,[],[f56781,f200]) ).
fof(f57139,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sF7(X0),X0) = X0
| ~ aNaturalNumber0(sF7(X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF7(X0)) ),
inference(resolution,[],[f452,f453]) ).
fof(f57150,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sF7(X0),X0) = X0
| ~ aNaturalNumber0(sF7(X0)) ),
inference(duplicate_literal_removal,[],[f57139]) ).
fof(f57157,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sF7(X0),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f57150,f460]) ).
fof(f57598,plain,
( sz00 = sK5
| sK5 = sdtsldt0(sF7(sK5),sK5) ),
inference(resolution,[],[f57157,f201]) ).
fof(f57629,plain,
sK5 = sdtsldt0(sF7(sK5),sK5),
inference(forward_subsumption_resolution,[],[f57598,f198]) ).
fof(f57655,plain,
sK5 = sdtsldt0(sF9,sK5),
inference(forward_demodulation,[],[f57629,f251]) ).
fof(f66063,plain,
( $false
| spl12_517 ),
inference(forward_subsumption_resolution,[],[f57655,f14930]) ).
fof(f66064,plain,
spl12_517,
inference(avatar_contradiction_clause,[],[f66063]) ).
fof(f103872,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sF7(sdtsldt0(sK4,sK6))) = sdtasdt0(X0,sdtasdt0(X1,sF7(sdtsldt0(sK4,sK6)))) )
| ~ spl12_1107 ),
inference(resolution,[],[f28861,f138]) ).
fof(f104197,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sF7(sdtsldt0(sK4,sK6))) = sdtasdt0(X0,sF8(X1,sdtsldt0(sK4,sK6)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) )
| ~ spl12_1107 ),
inference(forward_demodulation,[],[f103872,f221]) ).
fof(f104284,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sF8(sdtasdt0(X0,X1),sdtsldt0(sK4,sK6)) = sdtasdt0(X0,sF8(X1,sdtsldt0(sK4,sK6))) )
| ~ spl12_1107 ),
inference(forward_demodulation,[],[f104197,f221]) ).
fof(f104448,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sF8(sdtasdt0(X0,sK4),sdtsldt0(sK4,sK6)) = sdtasdt0(X0,sF8(sK4,sdtsldt0(sK4,sK6))) )
| ~ spl12_1107 ),
inference(resolution,[],[f104284,f202]) ).
fof(f104476,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sF8(sdtasdt0(X0,sF10),sdtsldt0(sK4,sK6)) = sdtasdt0(X0,sF8(sF10,sdtsldt0(sK4,sK6))) )
| ~ spl12_6
| ~ spl12_1107 ),
inference(resolution,[],[f104284,f263]) ).
fof(f104697,plain,
( sF8(sdtasdt0(sK4,sK4),sdtsldt0(sK4,sK6)) = sdtasdt0(sK4,sF8(sK4,sdtsldt0(sK4,sK6)))
| ~ spl12_1107 ),
inference(resolution,[],[f104448,f202]) ).
fof(f104751,plain,
( sdtasdt0(sK4,sF8(sK4,sdtsldt0(sK4,sK6))) = sF8(sF7(sK4),sdtsldt0(sK4,sK6))
| ~ spl12_1107 ),
inference(forward_demodulation,[],[f104697,f219]) ).
fof(f104813,plain,
( sF8(sF10,sdtsldt0(sK4,sK6)) = sdtasdt0(sK4,sF8(sK4,sdtsldt0(sK4,sK6)))
| ~ spl12_1107 ),
inference(forward_demodulation,[],[f104751,f253]) ).
fof(f104894,plain,
( aNaturalNumber0(sF8(sF10,sdtsldt0(sK4,sK6)))
| ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sF8(sK4,sdtsldt0(sK4,sK6)))
| ~ spl12_1107 ),
inference(superposition,[],[f132,f104813]) ).
fof(f104983,plain,
( aNaturalNumber0(sF8(sF10,sdtsldt0(sK4,sK6)))
| ~ aNaturalNumber0(sF8(sK4,sdtsldt0(sK4,sK6)))
| ~ spl12_1107 ),
inference(forward_subsumption_resolution,[],[f104894,f202]) ).
fof(f104985,definition,
( spl12_3570
<=> aNaturalNumber0(sF8(sK4,sdtsldt0(sK4,sK6))) ),
introduced(definition,[new_symbols(definition,[spl12_3570])],[avatar_definition]) ).
fof(f104987,plain,
( ~ aNaturalNumber0(sF8(sK4,sdtsldt0(sK4,sK6)))
| spl12_3570 ),
inference(avatar_component_clause,[],[f104985]) ).
fof(f105232,definition,
( spl12_3620
<=> aNaturalNumber0(sF8(sF10,sdtsldt0(sK4,sK6))) ),
introduced(definition,[new_symbols(definition,[spl12_3620])],[avatar_definition]) ).
fof(f105233,plain,
( aNaturalNumber0(sF8(sF10,sdtsldt0(sK4,sK6)))
| ~ spl12_3620 ),
inference(avatar_component_clause,[],[f105232]) ).
fof(f105273,plain,
( ~ spl12_3570
| spl12_3620
| ~ spl12_1107 ),
inference(avatar_split_clause,[],[f104983,f28860,f105232,f104985]) ).
fof(f105349,plain,
( ~ aNaturalNumber0(sK4)
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| spl12_3570 ),
inference(resolution,[],[f104987,f271]) ).
fof(f105350,plain,
( ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| spl12_3570 ),
inference(forward_subsumption_resolution,[],[f105349,f202]) ).
fof(f105351,plain,
( $false
| ~ spl12_1107
| spl12_3570 ),
inference(forward_subsumption_resolution,[],[f105350,f28861]) ).
fof(f105352,plain,
( ~ spl12_1107
| spl12_3570 ),
inference(avatar_contradiction_clause,[],[f105351]) ).
fof(f108501,plain,
( sF8(sdtasdt0(sK6,sF10),sdtsldt0(sK4,sK6)) = sdtasdt0(sK6,sF8(sF10,sdtsldt0(sK4,sK6)))
| ~ spl12_6
| ~ spl12_1107 ),
inference(resolution,[],[f104476,f200]) ).
fof(f108555,plain,
( sdtasdt0(sF9,sF10) = sdtasdt0(sK6,sF8(sF10,sdtsldt0(sK4,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107 ),
inference(forward_demodulation,[],[f108501,f30775]) ).
fof(f133453,plain,
( ~ doDivides0(sK6,sdtasdt0(sF9,sF10))
| ~ aNaturalNumber0(sF8(sF10,sdtsldt0(sK4,sK6)))
| sz00 = sK6
| sdtsldt0(sdtasdt0(sF9,sF10),sK6) = sF8(sF10,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sF9,sF10))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107 ),
inference(superposition,[],[f213,f108555]) ).
fof(f133502,plain,
( ~ aNaturalNumber0(sF8(sF10,sdtsldt0(sK4,sK6)))
| sz00 = sK6
| sdtsldt0(sdtasdt0(sF9,sF10),sK6) = sF8(sF10,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sF9,sF10))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107 ),
inference(forward_subsumption_resolution,[],[f133453,f13469]) ).
fof(f133544,plain,
( sz00 = sK6
| sdtsldt0(sdtasdt0(sF9,sF10),sK6) = sF8(sF10,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sF9,sF10))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133502,f105233]) ).
fof(f133610,plain,
( sdtsldt0(sdtasdt0(sF9,sF10),sK6) = sF8(sF10,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sdtasdt0(sF9,sF10))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133544,f197]) ).
fof(f133667,plain,
( sdtsldt0(sdtasdt0(sF9,sF10),sK6) = sF8(sF10,sdtsldt0(sK4,sK6))
| ~ aNaturalNumber0(sdtasdt0(sF9,sF10))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133610,f200]) ).
fof(f133670,plain,
( sdtsldt0(sdtasdt0(sF9,sF10),sK6) = sF8(sF10,sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133667,f6291]) ).
fof(f133671,plain,
( sF7(sF9) = sF8(sF10,sdtsldt0(sK4,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_demodulation,[],[f133670,f6479]) ).
fof(f133704,plain,
( ~ doDivides0(sF10,sF7(sF9))
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| sz00 = sF10
| sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(superposition,[],[f325,f133671]) ).
fof(f133705,plain,
( doDivides0(sF10,sF7(sF9))
| ~ aNaturalNumber0(sF7(sdtsldt0(sK4,sK6)))
| ~ aNaturalNumber0(sF10)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(superposition,[],[f377,f133671]) ).
fof(f133715,plain,
( doDivides0(sF10,sF7(sF9))
| ~ aNaturalNumber0(sF10)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133705,f28861]) ).
fof(f133716,plain,
( ~ doDivides0(sF10,sF7(sF9))
| sz00 = sF10
| sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133704,f28861]) ).
fof(f133727,plain,
( doDivides0(sF10,sF7(sF9))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133715,f263]) ).
fof(f133728,plain,
( ~ doDivides0(sF10,sF7(sF9))
| sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133716,f528]) ).
fof(f133735,plain,
( sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133728,f133727]) ).
fof(f133740,plain,
( sF7(sdtsldt0(sK4,sK6)) = sdtsldt0(sF7(sF9),sF10)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f133735,f263]) ).
fof(f133743,plain,
( sdtsldt0(sF10,sF7(sK6)) = sdtsldt0(sF7(sF9),sF10)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620 ),
inference(forward_demodulation,[],[f133740,f28872]) ).
fof(f134603,plain,
( ! [X0] :
( ~ doDivides0(X0,sF10)
| doDivides0(X0,sF7(sF9))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9)) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(resolution,[],[f133727,f181]) ).
fof(f134606,plain,
( ! [X0] :
( ~ doDivides0(X0,sF10)
| doDivides0(X0,sF7(sF9))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF7(sF9)) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f134603,f263]) ).
fof(f134610,plain,
( ! [X0] :
( ~ doDivides0(X0,sF10)
| doDivides0(X0,sF7(sF9))
| ~ aNaturalNumber0(X0) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_68
| ~ spl12_79
| ~ spl12_222
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f134606,f2030]) ).
fof(f148487,plain,
( doDivides0(sK6,sF7(sF9))
| ~ isPrime0(sK6)
| doDivides0(sK6,sF10)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_32
| ~ spl12_102
| ~ spl12_436
| ~ spl12_586
| ~ spl12_874 ),
inference(resolution,[],[f1016,f56788]) ).
fof(f148604,plain,
( doDivides0(sK6,sF7(sF9))
| ~ isPrime0(sK6)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148487,f134610]) ).
fof(f148635,plain,
( doDivides0(sK6,sF7(sF9))
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148604,f205]) ).
fof(f148647,plain,
( doDivides0(sK6,sF7(sF9))
| ~ aNaturalNumber0(sF7(sF9))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148635,f263]) ).
fof(f148649,plain,
( doDivides0(sK6,sF7(sF9))
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148647,f2030]) ).
fof(f148650,plain,
( doDivides0(sK6,sF7(sF9))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148649,f200]) ).
fof(f148651,plain,
( doDivides0(sK6,sF9)
| ~ isPrime0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(resolution,[],[f148650,f1028]) ).
fof(f148663,plain,
( doDivides0(sK6,sF9)
| ~ aNaturalNumber0(sF9)
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148651,f205]) ).
fof(f148669,plain,
( doDivides0(sK6,sF9)
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148663,f258]) ).
fof(f148673,plain,
( doDivides0(sK6,sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148669,f200]) ).
fof(f148714,plain,
( doDivides0(sK6,sK5)
| ~ isPrime0(sK6)
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(resolution,[],[f148673,f8435]) ).
fof(f148715,plain,
( sF9 = sdtasdt0(sK6,sK1(sK6,sF9))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(resolution,[],[f148673,f175]) ).
fof(f148716,plain,
( sz00 = sK6
| sF9 = sdtasdt0(sK6,sdtsldt0(sF9,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(resolution,[],[f148673,f215]) ).
fof(f148723,plain,
( sF9 = sdtasdt0(sK6,sdtsldt0(sF9,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148716,f197]) ).
fof(f148724,plain,
( sF9 = sdtasdt0(sK6,sK1(sK6,sF9))
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148715,f200]) ).
fof(f148725,plain,
( doDivides0(sK6,sK5)
| ~ aNaturalNumber0(sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148714,f205]) ).
fof(f148728,plain,
( sF9 = sdtasdt0(sK6,sdtsldt0(sF9,sK6))
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148723,f200]) ).
fof(f148729,plain,
( sF9 = sdtasdt0(sK6,sK1(sK6,sF9))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148724,f258]) ).
fof(f148730,plain,
( doDivides0(sK6,sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148725,f200]) ).
fof(f148732,plain,
( sF9 = sdtasdt0(sK6,sdtsldt0(sF9,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148728,f258]) ).
fof(f148733,plain,
( sK5 = sdtasdt0(sK6,sK1(sK6,sK5))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(resolution,[],[f148730,f175]) ).
fof(f148734,plain,
( sz00 = sK6
| sK5 = sdtasdt0(sK6,sdtsldt0(sK5,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(resolution,[],[f148730,f215]) ).
fof(f148741,plain,
( sK5 = sdtasdt0(sK6,sdtsldt0(sK5,sK6))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148734,f197]) ).
fof(f148742,plain,
( sK5 = sdtasdt0(sK6,sK1(sK6,sK5))
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148733,f200]) ).
fof(f148745,plain,
( sK5 = sdtasdt0(sK6,sdtsldt0(sK5,sK6))
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148741,f200]) ).
fof(f148746,plain,
( sK5 = sdtasdt0(sK6,sK1(sK6,sK5))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148742,f201]) ).
fof(f148748,plain,
( sK5 = sdtasdt0(sK6,sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f148745,f201]) ).
fof(f148855,definition,
( spl12_5268
<=> aNaturalNumber0(sdtsldt0(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_5268])],[avatar_definition]) ).
fof(f148856,plain,
( aNaturalNumber0(sdtsldt0(sK5,sK6))
| ~ spl12_5268 ),
inference(avatar_component_clause,[],[f148855]) ).
fof(f148857,plain,
( ~ aNaturalNumber0(sdtsldt0(sK5,sK6))
| spl12_5268 ),
inference(avatar_component_clause,[],[f148855]) ).
fof(f148893,definition,
( spl12_5276
<=> sz00 = sdtsldt0(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl12_5276])],[avatar_definition]) ).
fof(f148894,plain,
( sz00 != sdtsldt0(sK5,sK6)
| spl12_5276 ),
inference(avatar_component_clause,[],[f148893]) ).
fof(f148895,plain,
( sz00 = sdtsldt0(sK5,sK6)
| ~ spl12_5276 ),
inference(avatar_component_clause,[],[f148893]) ).
fof(f149161,definition,
( spl12_5307
<=> aNaturalNumber0(sdtsldt0(sF9,sK6)) ),
introduced(definition,[new_symbols(definition,[spl12_5307])],[avatar_definition]) ).
fof(f149162,plain,
( aNaturalNumber0(sdtsldt0(sF9,sK6))
| ~ spl12_5307 ),
inference(avatar_component_clause,[],[f149161]) ).
fof(f149163,plain,
( ~ aNaturalNumber0(sdtsldt0(sF9,sK6))
| spl12_5307 ),
inference(avatar_component_clause,[],[f149161]) ).
fof(f149427,plain,
( ~ doDivides0(sK6,sK5)
| ~ aNaturalNumber0(sK1(sK6,sK5))
| sz00 = sK6
| sdtsldt0(sK5,sK6) = sK1(sK6,sK5)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(superposition,[],[f213,f148746]) ).
fof(f149479,plain,
( ~ doDivides0(sK6,sK5)
| sz00 = sK6
| sdtsldt0(sK5,sK6) = sK1(sK6,sK5)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f149427,f176]) ).
fof(f149592,plain,
( sz00 = sK6
| sdtsldt0(sK5,sK6) = sK1(sK6,sK5)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f149479,f148730]) ).
fof(f149651,plain,
( sdtsldt0(sK5,sK6) = sK1(sK6,sK5)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f149592,f197]) ).
fof(f149677,plain,
( sdtsldt0(sK5,sK6) = sK1(sK6,sK5)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f149651,f200]) ).
fof(f149684,plain,
( sdtsldt0(sK5,sK6) = sK1(sK6,sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f149677,f201]) ).
fof(f149687,plain,
( aNaturalNumber0(sdtsldt0(sK5,sK6))
| ~ doDivides0(sK6,sK5)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(superposition,[],[f176,f149684]) ).
fof(f149688,plain,
( ~ doDivides0(sK6,sK5)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5268 ),
inference(forward_subsumption_resolution,[],[f149687,f148857]) ).
fof(f149689,plain,
( ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5268 ),
inference(forward_subsumption_resolution,[],[f149688,f148730]) ).
fof(f149690,plain,
( ~ aNaturalNumber0(sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5268 ),
inference(forward_subsumption_resolution,[],[f149689,f200]) ).
fof(f149691,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5268 ),
inference(forward_subsumption_resolution,[],[f149690,f201]) ).
fof(f149692,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5268 ),
inference(avatar_contradiction_clause,[],[f149691]) ).
fof(f149814,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sK5,sK6)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sK5,sK6))) )
| ~ spl12_5268 ),
inference(resolution,[],[f148856,f138]) ).
fof(f149822,plain,
( sdtasdt0(sdtsldt0(sK5,sK6),sK5) = sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ spl12_5268 ),
inference(resolution,[],[f148856,f267]) ).
fof(f149823,plain,
( sdtasdt0(sK6,sdtsldt0(sK5,sK6)) = sdtasdt0(sdtsldt0(sK5,sK6),sK6)
| ~ spl12_5268 ),
inference(resolution,[],[f148856,f268]) ).
fof(f149834,plain,
( sdtasdt0(sdtsldt0(sK5,sK6),sF9) = sdtasdt0(sF9,sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_5268 ),
inference(resolution,[],[f148856,f544]) ).
fof(f149866,plain,
( sdtasdt0(sdtsldt0(sK5,sK6),sdtsldt0(sF9,sK5)) = sdtsldt0(sdtasdt0(sdtsldt0(sK5,sK6),sF9),sK5)
| ~ spl12_5
| ~ spl12_5268 ),
inference(resolution,[],[f148856,f5269]) ).
fof(f150533,plain,
( sK5 = sdtasdt0(sK6,sz00)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5276 ),
inference(superposition,[],[f148748,f148895]) ).
fof(f150534,plain,
( sz00 = sK5
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5276 ),
inference(forward_demodulation,[],[f150533,f275]) ).
fof(f150535,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5276 ),
inference(forward_subsumption_resolution,[],[f150534,f198]) ).
fof(f150536,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5276 ),
inference(avatar_contradiction_clause,[],[f150535]) ).
fof(f151089,plain,
( sdtasdt0(sdtsldt0(sK5,sK6),sK5) = sdtsldt0(sdtasdt0(sdtsldt0(sK5,sK6),sF9),sK5)
| ~ spl12_5
| ~ spl12_517
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f149866,f14931]) ).
fof(f151093,plain,
( sK5 = sdtasdt0(sdtsldt0(sK5,sK6),sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f149823,f148748]) ).
fof(f151120,plain,
( sdtasdt0(sdtsldt0(sK5,sK6),sK5) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ spl12_5
| ~ spl12_517
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f151089,f149834]) ).
fof(f151125,plain,
( sdtasdt0(sK5,sdtsldt0(sK5,sK6)) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ spl12_5
| ~ spl12_517
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f151120,f149822]) ).
fof(f151836,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sdtsldt0(sK5,sK6)),sdtsldt0(sK5,sK6)) = sdtasdt0(X0,sdtasdt0(sdtsldt0(sK5,sK6),sdtsldt0(sK5,sK6))) )
| ~ spl12_5268 ),
inference(resolution,[],[f149814,f148856]) ).
fof(f151868,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK6),sdtsldt0(sK5,sK6)) = sdtasdt0(X0,sdtasdt0(sK6,sdtsldt0(sK5,sK6))) )
| ~ spl12_5268 ),
inference(resolution,[],[f149814,f200]) ).
fof(f151916,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK5) = sdtasdt0(sdtasdt0(X0,sK6),sdtsldt0(sK5,sK6)) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f151868,f148748]) ).
fof(f151934,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtsldt0(sK5,sK6)),sdtsldt0(sK5,sK6)) = sdtasdt0(X0,sF7(sdtsldt0(sK5,sK6)))
| ~ aNaturalNumber0(X0) )
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f151836,f219]) ).
fof(f151962,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sF8(X0,sdtsldt0(sK5,sK6)) = sdtasdt0(sdtasdt0(X0,sdtsldt0(sK5,sK6)),sdtsldt0(sK5,sK6)) )
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f151934,f221]) ).
fof(f152029,plain,
( sdtasdt0(sK5,sK5) = sdtasdt0(sdtasdt0(sK5,sK6),sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(resolution,[],[f151916,f201]) ).
fof(f152094,plain,
( sdtasdt0(sK5,sK5) = sdtasdt0(sdtsldt0(sF10,sK5),sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f152029,f7021]) ).
fof(f152182,plain,
( sF7(sK5) = sdtasdt0(sdtsldt0(sF10,sK5),sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f152094,f219]) ).
fof(f152258,plain,
( sF9 = sdtasdt0(sdtsldt0(sF10,sK5),sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f152182,f251]) ).
fof(f153155,plain,
( sF8(sdtsldt0(sF10,sK5),sdtsldt0(sK5,sK6)) = sdtasdt0(sdtasdt0(sdtsldt0(sF10,sK5),sdtsldt0(sK5,sK6)),sdtsldt0(sK5,sK6))
| ~ spl12_6
| ~ spl12_32
| ~ spl12_5268 ),
inference(resolution,[],[f151962,f12269]) ).
fof(f153185,plain,
( sF8(sK6,sdtsldt0(sK5,sK6)) = sdtasdt0(sdtasdt0(sK6,sdtsldt0(sK5,sK6)),sdtsldt0(sK5,sK6))
| ~ spl12_5268 ),
inference(resolution,[],[f151962,f200]) ).
fof(f153238,plain,
( sdtasdt0(sK5,sdtsldt0(sK5,sK6)) = sF8(sK6,sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f153185,f148748]) ).
fof(f153255,plain,
( sdtasdt0(sF9,sdtsldt0(sK5,sK6)) = sF8(sdtsldt0(sF10,sK5),sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_demodulation,[],[f153155,f152258]) ).
fof(f153342,definition,
( spl12_5482
<=> aNaturalNumber0(sF7(sdtsldt0(sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl12_5482])],[avatar_definition]) ).
fof(f153343,plain,
( aNaturalNumber0(sF7(sdtsldt0(sK5,sK6)))
| ~ spl12_5482 ),
inference(avatar_component_clause,[],[f153342]) ).
fof(f153344,plain,
( ~ aNaturalNumber0(sF7(sdtsldt0(sK5,sK6)))
| spl12_5482 ),
inference(avatar_component_clause,[],[f153342]) ).
fof(f153393,plain,
( ~ aNaturalNumber0(sdtsldt0(sK5,sK6))
| spl12_5482 ),
inference(resolution,[],[f153344,f460]) ).
fof(f153394,plain,
( $false
| ~ spl12_5268
| spl12_5482 ),
inference(forward_subsumption_resolution,[],[f153393,f148856]) ).
fof(f153395,plain,
( ~ spl12_5268
| spl12_5482 ),
inference(avatar_contradiction_clause,[],[f153394]) ).
fof(f153479,plain,
( ! [X0] :
( sF7(X0) != sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ iLess0(X0,sK4)
| ~ isPrime0(sK6)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK5,sK6))
| ~ aNaturalNumber0(sK6)
| sz00 = X0
| sz00 = sdtsldt0(sK5,sK6)
| sz00 = sK6 )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(superposition,[],[f222,f153238]) ).
fof(f153502,plain,
( ! [X0] :
( sF7(X0) != sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ iLess0(X0,sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sK5,sK6))
| ~ aNaturalNumber0(sK6)
| sz00 = X0
| sz00 = sdtsldt0(sK5,sK6)
| sz00 = sK6 )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_subsumption_resolution,[],[f153479,f205]) ).
fof(f153517,plain,
( ! [X0] :
( sF7(X0) != sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ iLess0(X0,sK4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK6)
| sz00 = X0
| sz00 = sdtsldt0(sK5,sK6)
| sz00 = sK6 )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_subsumption_resolution,[],[f153502,f148856]) ).
fof(f153546,plain,
( ! [X0] :
( sF7(X0) != sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ iLess0(X0,sK4)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = sdtsldt0(sK5,sK6)
| sz00 = sK6 )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_subsumption_resolution,[],[f153517,f200]) ).
fof(f153565,plain,
( ! [X0] :
( sF7(X0) != sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ iLess0(X0,sK4)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = sK6 )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276 ),
inference(forward_subsumption_resolution,[],[f153546,f148894]) ).
fof(f153577,plain,
( ! [X0] :
( sF7(X0) != sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ iLess0(X0,sK4)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276 ),
inference(forward_subsumption_resolution,[],[f153565,f197]) ).
fof(f157533,plain,
( aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ aNaturalNumber0(sdtsldt0(sF10,sK5))
| ~ aNaturalNumber0(sF7(sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(superposition,[],[f271,f153255]) ).
fof(f157554,plain,
( aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ aNaturalNumber0(sF7(sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268 ),
inference(forward_subsumption_resolution,[],[f157533,f12269]) ).
fof(f157565,plain,
( aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f157554,f153343]) ).
fof(f164592,plain,
( ~ doDivides0(sK6,sF9)
| ~ aNaturalNumber0(sK1(sK6,sF9))
| sz00 = sK6
| sdtsldt0(sF9,sK6) = sK1(sK6,sF9)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(superposition,[],[f213,f148729]) ).
fof(f164644,plain,
( ~ doDivides0(sK6,sF9)
| sz00 = sK6
| sdtsldt0(sF9,sK6) = sK1(sK6,sF9)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f164592,f176]) ).
fof(f164760,plain,
( sz00 = sK6
| sdtsldt0(sF9,sK6) = sK1(sK6,sF9)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f164644,f148673]) ).
fof(f164819,plain,
( sdtsldt0(sF9,sK6) = sK1(sK6,sF9)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f164760,f197]) ).
fof(f164849,plain,
( sdtsldt0(sF9,sK6) = sK1(sK6,sF9)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f164819,f200]) ).
fof(f164850,plain,
( sdtsldt0(sF9,sK6) = sK1(sK6,sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(forward_subsumption_resolution,[],[f164849,f258]) ).
fof(f164853,plain,
( aNaturalNumber0(sdtsldt0(sF9,sK6))
| ~ doDivides0(sK6,sF9)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620 ),
inference(superposition,[],[f176,f164850]) ).
fof(f164854,plain,
( ~ doDivides0(sK6,sF9)
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5307 ),
inference(forward_subsumption_resolution,[],[f164853,f149163]) ).
fof(f164855,plain,
( ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5307 ),
inference(forward_subsumption_resolution,[],[f164854,f148673]) ).
fof(f164856,plain,
( ~ aNaturalNumber0(sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5307 ),
inference(forward_subsumption_resolution,[],[f164855,f200]) ).
fof(f164857,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5307 ),
inference(forward_subsumption_resolution,[],[f164856,f258]) ).
fof(f164858,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5307 ),
inference(avatar_contradiction_clause,[],[f164857]) ).
fof(f164933,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtsldt0(sF9,sK6)) = sdtasdt0(X0,sdtasdt0(X1,sdtsldt0(sF9,sK6))) )
| ~ spl12_5307 ),
inference(resolution,[],[f149162,f138]) ).
fof(f165367,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK6),sdtsldt0(sF9,sK6)) = sdtasdt0(X0,sdtasdt0(sK6,sdtsldt0(sF9,sK6))) )
| ~ spl12_5307 ),
inference(resolution,[],[f164933,f200]) ).
fof(f165419,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF9) = sdtasdt0(sdtasdt0(X0,sK6),sdtsldt0(sF9,sK6)) )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_demodulation,[],[f165367,f148732]) ).
fof(f165691,plain,
( sdtasdt0(sdtsldt0(sK5,sK6),sF9) = sdtasdt0(sdtasdt0(sdtsldt0(sK5,sK6),sK6),sdtsldt0(sF9,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(resolution,[],[f165419,f148856]) ).
fof(f165759,plain,
( sdtasdt0(sF9,sF9) = sdtasdt0(sdtasdt0(sF9,sK6),sdtsldt0(sF9,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(resolution,[],[f165419,f258]) ).
fof(f165762,plain,
( sdtasdt0(sF9,sF9) = sdtasdt0(sF10,sdtsldt0(sF9,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_demodulation,[],[f165759,f639]) ).
fof(f165824,plain,
( sdtasdt0(sK5,sdtsldt0(sF9,sK6)) = sdtasdt0(sdtsldt0(sK5,sK6),sF9)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(forward_demodulation,[],[f165691,f151093]) ).
fof(f165857,plain,
( sF7(sF9) = sdtasdt0(sF10,sdtsldt0(sF9,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_demodulation,[],[f165762,f219]) ).
fof(f165917,plain,
( sdtasdt0(sK5,sdtsldt0(sF9,sK6)) = sdtasdt0(sF9,sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(forward_demodulation,[],[f165824,f149834]) ).
fof(f166124,plain,
( ~ doDivides0(sF10,sF7(sF9))
| ~ aNaturalNumber0(sdtsldt0(sF9,sK6))
| sz00 = sF10
| sdtsldt0(sF9,sK6) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(superposition,[],[f213,f165857]) ).
fof(f166166,plain,
( ~ aNaturalNumber0(sdtsldt0(sF9,sK6))
| sz00 = sF10
| sdtsldt0(sF9,sK6) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166124,f133727]) ).
fof(f166192,plain,
( sz00 = sF10
| sdtsldt0(sF9,sK6) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166166,f149162]) ).
fof(f166218,plain,
( sdtsldt0(sF9,sK6) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166192,f528]) ).
fof(f166245,plain,
( sdtsldt0(sF9,sK6) = sdtsldt0(sF7(sF9),sF10)
| ~ aNaturalNumber0(sF7(sF9))
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166218,f263]) ).
fof(f166267,plain,
( sdtsldt0(sF9,sK6) = sdtsldt0(sF7(sF9),sF10)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166245,f2030]) ).
fof(f166272,plain,
( sdtsldt0(sF9,sK6) = sdtsldt0(sF10,sF7(sK6))
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5307 ),
inference(forward_demodulation,[],[f166267,f133743]) ).
fof(f166447,plain,
( doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ aNaturalNumber0(sdtsldt0(sF9,sK6))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(superposition,[],[f212,f165917]) ).
fof(f166448,plain,
( ~ doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ aNaturalNumber0(sdtsldt0(sF9,sK6))
| sz00 = sK5
| sdtsldt0(sF9,sK6) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(superposition,[],[f213,f165917]) ).
fof(f166504,plain,
( ~ doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| sz00 = sK5
| sdtsldt0(sF9,sK6) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166448,f149162]) ).
fof(f166505,plain,
( doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166447,f149162]) ).
fof(f166577,plain,
( ~ doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| sdtsldt0(sF9,sK6) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ aNaturalNumber0(sK5)
| ~ aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166504,f198]) ).
fof(f166578,plain,
( doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166505,f201]) ).
fof(f166782,plain,
( ~ doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| sdtsldt0(sF9,sK6) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ aNaturalNumber0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307 ),
inference(forward_subsumption_resolution,[],[f166577,f201]) ).
fof(f166783,plain,
( doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f166578,f157565]) ).
fof(f166865,plain,
( ~ doDivides0(sK5,sdtasdt0(sF9,sdtsldt0(sK5,sK6)))
| sdtsldt0(sF9,sK6) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f166782,f157565]) ).
fof(f166875,plain,
( sdtsldt0(sF9,sK6) = sdtsldt0(sdtasdt0(sF9,sdtsldt0(sK5,sK6)),sK5)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f166865,f166783]) ).
fof(f166876,plain,
( sdtsldt0(sF9,sK6) = sdtasdt0(sK5,sdtsldt0(sK5,sK6))
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_demodulation,[],[f166875,f151125]) ).
fof(f167129,plain,
( ! [X0] :
( sF7(X0) != sdtsldt0(sF9,sK6)
| ~ iLess0(X0,sK4)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(superposition,[],[f153577,f166876]) ).
fof(f186047,plain,
( sdtsldt0(sF9,sK6) != sdtsldt0(sF10,sF7(sK6))
| ~ iLess0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| sz00 = sdtsldt0(sK4,sK6)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(superposition,[],[f167129,f28872]) ).
fof(f186048,plain,
( ~ iLess0(sdtsldt0(sK4,sK6),sK4)
| ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| sz00 = sdtsldt0(sK4,sK6)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f186047,f166272]) ).
fof(f186081,plain,
( ~ aNaturalNumber0(sdtsldt0(sK4,sK6))
| sz00 = sdtsldt0(sK4,sK6)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1095
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f186048,f28412]) ).
fof(f186110,plain,
( sz00 = sdtsldt0(sK4,sK6)
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1095
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f186081,f14502]) ).
fof(f186136,plain,
( $false
| ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| spl12_457
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1095
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(forward_subsumption_resolution,[],[f186110,f14514]) ).
fof(f186137,plain,
( ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| spl12_457
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1095
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(avatar_contradiction_clause,[],[f186136]) ).
fof(f186224,plain,
( sK6 = sdtsldt0(sK4,sK4)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454
| spl12_457
| ~ spl12_1094 ),
inference(superposition,[],[f28415,f28408]) ).
fof(f186436,plain,
( sz10 = sK6
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_454
| spl12_457
| ~ spl12_1094 ),
inference(forward_demodulation,[],[f186224,f3121]) ).
fof(f186499,plain,
( $false
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| spl12_120
| ~ spl12_454
| spl12_457
| ~ spl12_1094 ),
inference(forward_subsumption_resolution,[],[f186436,f2552]) ).
fof(f186500,plain,
( ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| spl12_120
| ~ spl12_454
| spl12_457
| ~ spl12_1094 ),
inference(avatar_contradiction_clause,[],[f186499]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2 ),
inference(sat_conversion,[],[f239]) ).
cnf(s3,plain,
spl12_1,
inference(sat_conversion,[],[f249]) ).
cnf(s4,plain,
spl12_3,
inference(sat_conversion,[],[f250]) ).
cnf(s13,plain,
spl12_5,
inference(sat_conversion,[],[f477]) ).
cnf(s14,plain,
spl12_6,
inference(sat_conversion,[],[f478]) ).
cnf(s19,plain,
( ~ spl12_5
| spl12_15
| ~ spl12_20 ),
inference(sat_conversion,[],[f529]) ).
cnf(s20,plain,
( spl12_8
| ~ spl12_15 ),
inference(sat_conversion,[],[f538]) ).
cnf(s46,plain,
spl12_26,
inference(sat_conversion,[],[f1687]) ).
cnf(s92,plain,
( ~ spl12_5
| spl12_79
| ~ spl12_102 ),
inference(sat_conversion,[],[f2417]) ).
cnf(s101,plain,
( ~ spl12_5
| spl12_68 ),
inference(sat_conversion,[],[f2572]) ).
cnf(s121,plain,
spl12_29,
inference(sat_conversion,[],[f3235]) ).
cnf(s129,plain,
spl12_32,
inference(sat_conversion,[],[f3796]) ).
cnf(s142,plain,
( spl12_2
| ~ spl12_120 ),
inference(sat_conversion,[],[f4277]) ).
cnf(s171,plain,
( ~ spl12_1
| spl12_120
| ~ spl12_149 ),
inference(sat_conversion,[],[f4995]) ).
cnf(s194,plain,
( ~ spl12_8
| ~ spl12_29
| spl12_149 ),
inference(sat_conversion,[],[f5922]) ).
cnf(s211,plain,
( ~ spl12_5
| spl12_102 ),
inference(sat_conversion,[],[f6064]) ).
cnf(s227,plain,
( ~ spl12_29
| spl12_222 ),
inference(sat_conversion,[],[f6450]) ).
cnf(s251,plain,
spl12_226,
inference(sat_conversion,[],[f6714]) ).
cnf(s257,plain,
( ~ spl12_3
| ~ spl12_32
| ~ spl12_228 ),
inference(sat_conversion,[],[f7172]) ).
cnf(s663,plain,
( ~ spl12_102
| spl12_436 ),
inference(sat_conversion,[],[f15655]) ).
cnf(s668,plain,
( ~ spl12_26
| spl12_586 ),
inference(sat_conversion,[],[f15846]) ).
cnf(s1089,plain,
( ~ spl12_79
| spl12_874 ),
inference(sat_conversion,[],[f23840]) ).
cnf(s1283,plain,
( ~ spl12_5
| ~ spl12_6
| spl12_454 ),
inference(sat_conversion,[],[f28000]) ).
cnf(s1289,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_457 ),
inference(sat_conversion,[],[f28116]) ).
cnf(s1301,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_454
| spl12_1094
| spl12_1095 ),
inference(sat_conversion,[],[f28413]) ).
cnf(s1311,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| ~ spl12_454
| ~ spl12_1107
| spl12_1108 ),
inference(sat_conversion,[],[f28867]) ).
cnf(s1312,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_226
| spl12_228
| ~ spl12_454
| ~ spl12_1107
| ~ spl12_1108
| spl12_1109 ),
inference(sat_conversion,[],[f28873]) ).
cnf(s1313,plain,
( ~ spl12_454
| spl12_1107 ),
inference(sat_conversion,[],[f28876]) ).
cnf(s2915,plain,
spl12_517,
inference(sat_conversion,[],[f66064]) ).
cnf(s4418,plain,
( ~ spl12_1107
| ~ spl12_3570
| spl12_3620 ),
inference(sat_conversion,[],[f105273]) ).
cnf(s4443,plain,
( ~ spl12_1107
| spl12_3570 ),
inference(sat_conversion,[],[f105352]) ).
cnf(s6468,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5268 ),
inference(sat_conversion,[],[f149692]) ).
cnf(s6472,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| ~ spl12_5276 ),
inference(sat_conversion,[],[f150536]) ).
cnf(s6594,plain,
( ~ spl12_5268
| spl12_5482 ),
inference(sat_conversion,[],[f153395]) ).
cnf(s7213,plain,
( ~ spl12_5
| ~ spl12_6
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1107
| ~ spl12_3620
| spl12_5307 ),
inference(sat_conversion,[],[f164858]) ).
cnf(s8252,plain,
( ~ spl12_5
| ~ spl12_6
| spl12_20
| ~ spl12_26
| ~ spl12_32
| ~ spl12_68
| ~ spl12_79
| ~ spl12_102
| ~ spl12_222
| ~ spl12_436
| ~ spl12_454
| spl12_457
| ~ spl12_517
| ~ spl12_586
| ~ spl12_874
| ~ spl12_1095
| ~ spl12_1107
| ~ spl12_1109
| ~ spl12_3620
| ~ spl12_5268
| spl12_5276
| ~ spl12_5307
| ~ spl12_5482 ),
inference(sat_conversion,[],[f186137]) ).
cnf(s8269,plain,
( ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| spl12_120
| ~ spl12_454
| spl12_457
| ~ spl12_1094 ),
inference(sat_conversion,[],[f186500]) ).
cnf(s8556,plain,
spl12_222,
inference(rat,[],[s227,s121]) ).
cnf(s8563,plain,
spl12_586,
inference(rat,[],[s668,s46]) ).
cnf(s8753,plain,
~ spl12_457,
inference(rat,[],[s1289,s14,s13]) ).
cnf(s8754,plain,
spl12_454,
inference(rat,[],[s1283,s14,s13]) ).
cnf(s8780,plain,
spl12_102,
inference(rat,[],[s211,s13]) ).
cnf(s8781,plain,
spl12_68,
inference(rat,[],[s101,s13]) ).
cnf(s8782,plain,
spl12_79,
inference(rat,[],[s92,s8780,s13]) ).
cnf(s8819,plain,
spl12_1107,
inference(rat,[],[s1313,s8754]) ).
cnf(s8857,plain,
spl12_436,
inference(rat,[],[s663,s8780]) ).
cnf(s8869,plain,
spl12_874,
inference(rat,[],[s1089,s8782]) ).
cnf(s8899,plain,
spl12_3570,
inference(rat,[],[s4443,s8819]) ).
cnf(s8900,plain,
spl12_1108,
inference(rat,[],[s1311,s8754,s13,s14,s251,s8819]) ).
cnf(s9007,plain,
spl12_3620,
inference(rat,[],[s4418,s8819,s8899]) ).
cnf(s9028,plain,
spl12_5307,
inference(rat,[],[s7213,s8869,s8782,s8819,s8781,s8563,s8754,s8857,s8556,s8780,s13,s14,s129,s46,s9007]) ).
cnf(s9030,plain,
~ spl12_5276,
inference(rat,[],[s6472,s8869,s8782,s8819,s8781,s8563,s8754,s8857,s8556,s8780,s13,s14,s129,s46,s9007]) ).
cnf(s9031,plain,
spl12_5268,
inference(rat,[],[s6468,s8869,s8782,s8819,s8781,s8563,s8754,s8857,s8556,s8780,s13,s14,s129,s46,s9007]) ).
cnf(s9063,plain,
spl12_5482,
inference(rat,[],[s6594,s9031]) ).
cnf(s9257,plain,
~ spl12_228,
inference(rat,[],[s257,s129,s4]) ).
cnf(s9309,plain,
spl12_1109,
inference(rat,[],[s1312,s8900,s8754,s8819,s13,s14,s251,s9257]) ).
cnf(s9665,plain,
~ spl12_2,
inference(rat,[],[s1,s3]) ).
cnf(s9666,plain,
~ spl12_120,
inference(rat,[],[s142,s9665]) ).
cnf(s9676,plain,
~ spl12_149,
inference(rat,[],[s171,s3,s9666]) ).
cnf(s9677,plain,
~ spl12_1094,
inference(rat,[],[s8269,s3,s8753,s8754,s13,s14,s9666]) ).
cnf(s9768,plain,
~ spl12_8,
inference(rat,[],[s194,s121,s9676]) ).
cnf(s9772,plain,
spl12_1095,
inference(rat,[],[s1301,s8754,s13,s14,s9677]) ).
cnf(s9813,plain,
~ spl12_15,
inference(rat,[],[s20,s9768]) ).
cnf(s9818,plain,
spl12_20,
inference(rat,[],[s8252,s9063,s9028,s9030,s9031,s9007,s9309,s8819,s8869,s8781,s8563,s2915,s8753,s8754,s8857,s8556,s8780,s8782,s13,s129,s46,s14,s9772]) ).
cnf(s9868,plain,
$false,
inference(rat,[],[s19,s13,s9818,s9813]) ).
fof(f186538,plain,
$false,
inference(avatar_sat_refutation,[],[s9868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM522+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 20:20:04 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.15/2.53 % (3717824)Detected formulas, will run a generic FOF schedule.
% 12.15/2.53 % (3717833)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=741397092:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.15/2.53 % (3717833)Instruction limit reached!
% 12.15/2.53 % (3717833)------------------------------
% 12.15/2.53 % (3717833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.53 % (3717833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.53 % (3717833)CaDiCaL version: 2.1.3
% 12.15/2.53 % (3717833)Termination reason: Instruction limit
% 12.15/2.53 % (3717833)Termination phase: Saturation
% 12.15/2.53 % (3717833)Time elapsed: 0.036 s
% 12.15/2.53 % (3717833)Peak memory usage: 88 MB
% 12.15/2.53 % (3717833)Instructions burned: 119 (million)
% 12.15/2.53 % (3717834)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3377062176:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.15/2.53 % (3717830)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=1757274021:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.15/2.53 % (3717829)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=528431123:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.15/2.53 % (3717832)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=852681134:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.15/2.53 % (3717831)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=612605791:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.15/2.53 % (3717835)dis-21_1_sil=8000:lcm=predicate:random_seed=3011902386: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)
% 12.15/2.53 % (3717832)Instruction limit reached!
% 12.15/2.53 % (3717832)------------------------------
% 12.15/2.53 % (3717832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.53 % (3717832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.53 % (3717832)CaDiCaL version: 2.1.3
% 12.15/2.53 % (3717832)Termination reason: Instruction limit
% 12.15/2.53 % (3717832)Termination phase: Saturation
% 12.15/2.53 % (3717832)Time elapsed: 0.064 s
% 12.15/2.53 % (3717832)Peak memory usage: 89 MB
% 12.15/2.53 % (3717832)Instructions burned: 109 (million)
% 12.15/2.53 % (3717835)Instruction limit reached!
% 12.15/2.53 % (3717835)------------------------------
% 12.15/2.53 % (3717835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.53 % (3717835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.53 % (3717835)CaDiCaL version: 2.1.3
% 12.15/2.53 % (3717835)Termination reason: Instruction limit
% 12.15/2.53 % (3717835)Termination phase: Saturation
% 12.15/2.53 % (3717835)Time elapsed: 0.074 s
% 12.15/2.53 % (3717835)Peak memory usage: 90 MB
% 12.15/2.53 % (3717835)Instructions burned: 131 (million)
% 12.15/2.53 % (3717837)lrs+10_1_sil=8000:sp=occurrence:random_seed=1146962985:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.15/2.53 % (3717834)Instruction limit reached!
% 12.15/2.54 % (3717834)------------------------------
% 12.15/2.54 % (3717834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.54 % (3717834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.54 % (3717834)CaDiCaL version: 2.1.3
% 12.15/2.54 % (3717834)Termination reason: Instruction limit
% 12.15/2.54 % (3717834)Termination phase: Saturation
% 12.15/2.54 % (3717834)Time elapsed: 0.094 s
% 12.15/2.54 % (3717834)Peak memory usage: 90 MB
% 12.15/2.54 % (3717834)Instructions burned: 139 (million)
% 12.15/2.54 % (3717837)Instruction limit reached!
% 12.15/2.54 % (3717837)------------------------------
% 12.15/2.54 % (3717837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.15/2.54 % (3717837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.54 % (3717837)CaDiCaL version: 2.1.3
% 12.15/2.54 % (3717837)Termination reason: Instruction limit
% 12.15/2.54 % (3717837)Termination phase: Saturation
% 12.15/2.54 % (3717837)Time elapsed: 0.089 s
% 12.15/2.54 % (3717837)Peak memory usage: 92 MB
% 12.15/2.54 % (3717837)Instructions burned: 285 (million)
% 17.49/3.40 % (3717844)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3895663743:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.49/3.40 % (3717846)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2935231834:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.49/3.40 % (3717847)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=3382199644:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 17.49/3.40 % (3717848)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3850693648:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 17.49/3.40 % (3717844)Instruction limit reached!
% 17.49/3.40 % (3717844)------------------------------
% 17.49/3.40 % (3717844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.40 % (3717844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.40 % (3717844)CaDiCaL version: 2.1.3
% 17.49/3.40 % (3717844)Termination reason: Instruction limit
% 17.49/3.40 % (3717844)Termination phase: Saturation
% 17.49/3.40 % (3717844)Time elapsed: 0.071 s
% 17.49/3.40 % (3717844)Peak memory usage: 91 MB
% 17.49/3.40 % (3717844)Instructions burned: 159 (million)
% 17.49/3.40 % (3717847)Instruction limit reached!
% 17.49/3.40 % (3717847)------------------------------
% 17.49/3.40 % (3717847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.40 % (3717847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.40 % (3717847)CaDiCaL version: 2.1.3
% 17.49/3.40 % (3717847)Termination reason: Instruction limit
% 17.49/3.40 % (3717847)Termination phase: Saturation
% 17.49/3.40 % (3717847)Time elapsed: 0.116 s
% 17.49/3.40 % (3717847)Peak memory usage: 94 MB
% 17.49/3.40 % (3717847)Instructions burned: 249 (million)
% 17.49/3.40 % (3717848)Instruction limit reached!
% 17.49/3.40 % (3717848)------------------------------
% 17.49/3.40 % (3717848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.40 % (3717848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.40 % (3717848)CaDiCaL version: 2.1.3
% 17.49/3.40 % (3717848)Termination reason: Instruction limit
% 17.49/3.40 % (3717848)Termination phase: Saturation
% 17.49/3.40 % (3717848)Time elapsed: 0.089 s
% 17.49/3.40 % (3717848)Peak memory usage: 90 MB
% 17.49/3.40 % (3717848)Instructions burned: 298 (million)
% 17.49/3.40 % (3717853)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3190315864:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.49/3.40 % (3717846)Instruction limit reached!
% 17.49/3.40 % (3717846)------------------------------
% 17.49/3.40 % (3717846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.40 % (3717846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.40 % (3717846)CaDiCaL version: 2.1.3
% 17.49/3.40 % (3717846)Termination reason: Instruction limit
% 17.49/3.40 % (3717846)Termination phase: Saturation
% 17.49/3.40 % (3717846)Time elapsed: 0.193 s
% 17.49/3.40 % (3717846)Peak memory usage: 91 MB
% 17.49/3.40 % (3717846)Instructions burned: 326 (million)
% 17.49/3.40 % (3717855)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2720796415:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 17.49/3.40 % (3717854)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3787773191:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 17.49/3.40 % (3717855)Instruction limit reached!
% 17.49/3.40 % (3717855)------------------------------
% 17.49/3.40 % (3717855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.40 % (3717855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.40 % (3717855)CaDiCaL version: 2.1.3
% 17.49/3.40 % (3717855)Termination reason: Instruction limit
% 17.49/3.40 % (3717855)Termination phase: Saturation
% 17.49/3.40 % (3717855)Time elapsed: 0.035 s
% 17.49/3.40 % (3717855)Peak memory usage: 89 MB
% 17.49/3.40 % (3717855)Instructions burned: 130 (million)
% 17.49/3.40 % (3717854)Instruction limit reached!
% 17.49/3.40 % (3717854)------------------------------
% 17.49/3.40 % (3717854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.49/3.40 % (3717854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.40 % (3717854)CaDiCaL version: 2.1.3
% 17.49/3.40 % (3717854)Termination reason: Instruction limit
% 17.49/3.40 % (3717854)Termination phase: Saturation
% 40.93/6.64 % (3717854)Time elapsed: 0.069 s
% 40.93/6.64 % (3717854)Peak memory usage: 90 MB
% 40.93/6.64 % (3717854)Instructions burned: 114 (million)
% 40.93/6.64 % (3717857)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2706637703:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 40.93/6.64 % (3717860)lrs+10_1_sil=8000:sp=occurrence:random_seed=92746580:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 40.93/6.64 % (3717857)Instruction limit reached!
% 40.93/6.64 % (3717857)------------------------------
% 40.93/6.64 % (3717857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.93/6.64 % (3717857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.93/6.64 % (3717857)CaDiCaL version: 2.1.3
% 40.93/6.64 % (3717857)Termination reason: Instruction limit
% 40.93/6.64 % (3717857)Termination phase: Saturation
% 40.93/6.64 % (3717857)Time elapsed: 0.060 s
% 40.93/6.64 % (3717857)Peak memory usage: 89 MB
% 40.93/6.64 % (3717857)Instructions burned: 116 (million)
% 40.93/6.64 % (3717862)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3740178939:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 40.93/6.64 % (3717864)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=53282480:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 40.93/6.64 % (3717860)Instruction limit reached!
% 40.93/6.64 % (3717860)------------------------------
% 40.93/6.64 % (3717860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.93/6.64 % (3717860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.93/6.64 % (3717860)CaDiCaL version: 2.1.3
% 40.93/6.64 % (3717860)Termination reason: Instruction limit
% 40.93/6.64 % (3717860)Termination phase: Saturation
% 40.93/6.64 % (3717860)Time elapsed: 0.271 s
% 40.93/6.64 % (3717860)Peak memory usage: 97 MB
% 40.93/6.64 % (3717860)Instructions burned: 910 (million)
% 40.93/6.64 % (3717867)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=339188319:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 40.93/6.64 % (3717862)Instruction limit reached!
% 40.93/6.64 % (3717862)------------------------------
% 40.93/6.64 % (3717862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.93/6.64 % (3717862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.93/6.64 % (3717862)CaDiCaL version: 2.1.3
% 40.93/6.64 % (3717862)Termination reason: Instruction limit
% 40.93/6.64 % (3717862)Termination phase: Saturation
% 40.93/6.64 % (3717862)Time elapsed: 0.249 s
% 40.93/6.64 % (3717862)Peak memory usage: 93 MB
% 40.93/6.64 % (3717862)Instructions burned: 438 (million)
% 40.93/6.64 % (3717867)Instruction limit reached!
% 40.93/6.64 % (3717867)------------------------------
% 40.93/6.64 % (3717867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.93/6.64 % (3717867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.93/6.64 % (3717867)CaDiCaL version: 2.1.3
% 40.93/6.64 % (3717867)Termination reason: Instruction limit
% 40.93/6.64 % (3717867)Termination phase: Saturation
% 40.93/6.64 % (3717867)Time elapsed: 0.033 s
% 40.93/6.64 % (3717867)Peak memory usage: 91 MB
% 40.93/6.64 % (3717867)Instructions burned: 135 (million)
% 40.93/6.64 % (3717870)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1982016031:st=3:i=13193:sd=3:ss=axioms_2989 on theBenchmark for (2989ds/13193Mi)
% 40.93/6.64 % (3717869)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2717503065:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 40.93/6.64 % (3717869)Instruction limit reached!
% 40.93/6.64 % (3717869)------------------------------
% 40.93/6.64 % (3717869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.93/6.64 % (3717869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.93/6.64 % (3717869)CaDiCaL version: 2.1.3
% 40.93/6.64 % (3717869)Termination reason: Instruction limit
% 40.93/6.64 % (3717869)Termination phase: Saturation
% 40.93/6.64 % (3717869)Time elapsed: 0.369 s
% 40.93/6.64 % (3717869)Peak memory usage: 96 MB
% 40.93/6.64 % (3717869)Instructions burned: 592 (million)
% 40.93/6.64 % (3717873)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=289610555:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 68.27/10.47 % (3717873)Instruction limit reached!
% 68.27/10.47 % (3717873)------------------------------
% 68.27/10.47 % (3717873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.27/10.47 % (3717873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.27/10.47 % (3717873)CaDiCaL version: 2.1.3
% 68.27/10.47 % (3717873)Termination reason: Instruction limit
% 68.27/10.47 % (3717873)Termination phase: Saturation
% 68.27/10.47 % (3717873)Time elapsed: 0.068 s
% 68.27/10.47 % (3717873)Peak memory usage: 91 MB
% 68.27/10.47 % (3717873)Instructions burned: 126 (million)
% 68.27/10.47 % (3717875)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2993683133:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 68.27/10.47 % (3717875)Instruction limit reached!
% 68.27/10.47 % (3717875)------------------------------
% 68.27/10.47 % (3717875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.27/10.47 % (3717875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.27/10.47 % (3717875)CaDiCaL version: 2.1.3
% 68.27/10.47 % (3717875)Termination reason: Instruction limit
% 68.27/10.47 % (3717875)Termination phase: Saturation
% 68.27/10.47 % (3717875)Time elapsed: 0.074 s
% 68.27/10.47 % (3717875)Peak memory usage: 90 MB
% 68.27/10.47 % (3717875)Instructions burned: 135 (million)
% 68.27/10.47 % (3717853)Instruction limit reached!
% 68.27/10.47 % (3717853)------------------------------
% 68.27/10.47 % (3717853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.27/10.47 % (3717853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.27/10.47 % (3717853)CaDiCaL version: 2.1.3
% 68.27/10.47 % (3717853)Termination reason: Instruction limit
% 68.27/10.47 % (3717853)Termination phase: Saturation
% 68.27/10.47 % (3717853)Time elapsed: 1.454 s
% 68.27/10.47 % (3717853)Peak memory usage: 142 MB
% 68.27/10.47 % (3717853)Instructions burned: 2351 (million)
% 68.27/10.47 % (3717877)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=770044374:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 68.27/10.47 % (3717878)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3799271024:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 68.27/10.47 % (3717878)Refutation not found, incomplete strategy
% 68.27/10.47 % (3717878)------------------------------
% 68.27/10.47 % (3717878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.27/10.47 % (3717878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.27/10.47 % (3717878)CaDiCaL version: 2.1.3
% 68.27/10.47 % (3717878)Termination reason: Refutation not found, incomplete strategy
% 68.27/10.47 % (3717878)Time elapsed: 0.004 s
% 68.27/10.47 % (3717878)Peak memory usage: 88 MB
% 68.27/10.47 % (3717878)Instructions burned: 5 (million)
% 68.27/10.47 % (3717877)Instruction limit reached!
% 68.27/10.47 % (3717877)------------------------------
% 68.27/10.47 % (3717877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.27/10.47 % (3717877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.27/10.47 % (3717877)CaDiCaL version: 2.1.3
% 68.27/10.47 % (3717877)Termination reason: Instruction limit
% 68.27/10.47 % (3717877)Termination phase: Saturation
% 68.27/10.47 % (3717877)Time elapsed: 0.070 s
% 68.27/10.47 % (3717877)Peak memory usage: 90 MB
% 68.27/10.47 % (3717877)Instructions burned: 142 (million)
% 68.27/10.47 % (3717881)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=1826852481:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 68.27/10.47 % (3717878)------------------------------
% 68.27/10.47 % (3717878)------------------------------
% 68.27/10.47 % (3717883)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=3525304643:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 68.27/10.47 % (3717883)Instruction limit reached!
% 68.27/10.47 % (3717883)------------------------------
% 68.27/10.47 % (3717883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.27/10.47 % (3717883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.27/10.47 % (3717883)CaDiCaL version: 2.1.3
% 68.27/10.47 % (3717883)Termination reason: Instruction limit
% 68.27/10.47 % (3717883)Termination phase: Saturation
% 92.27/13.87 % (3717883)Time elapsed: 0.083 s
% 92.27/13.87 % (3717883)Peak memory usage: 92 MB
% 92.27/13.87 % (3717883)Instructions burned: 150 (million)
% 92.27/13.87 % (3717885)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1112121021:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 92.27/13.87 % (3717864)Instruction limit reached!
% 92.27/13.87 % (3717864)------------------------------
% 92.27/13.87 % (3717864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.27/13.87 % (3717864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.27/13.87 % (3717864)CaDiCaL version: 2.1.3
% 92.27/13.87 % (3717864)Termination reason: Instruction limit
% 92.27/13.87 % (3717864)Termination phase: Saturation
% 92.27/13.87 % (3717864)Time elapsed: 3.151 s
% 92.27/13.87 % (3717864)Peak memory usage: 163 MB
% 92.27/13.87 % (3717864)Instructions burned: 5202 (million)
% 92.27/13.87 % (3717887)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3613875706:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 92.27/13.87 % (3717887)Instruction limit reached!
% 92.27/13.87 % (3717887)------------------------------
% 92.27/13.87 % (3717887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.27/13.87 % (3717887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.27/13.87 % (3717887)CaDiCaL version: 2.1.3
% 92.27/13.87 % (3717887)Termination reason: Instruction limit
% 92.27/13.87 % (3717887)Termination phase: Saturation
% 92.27/13.87 % (3717887)Time elapsed: 0.352 s
% 92.27/13.87 % (3717887)Peak memory usage: 113 MB
% 92.27/13.87 % (3717887)Instructions burned: 668 (million)
% 92.27/13.87 % (3717889)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=283042697:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 92.27/13.87 % (3717889)Instruction limit reached!
% 92.27/13.87 % (3717889)------------------------------
% 92.27/13.87 % (3717889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.27/13.87 % (3717889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.27/13.87 % (3717889)CaDiCaL version: 2.1.3
% 92.27/13.87 % (3717889)Termination reason: Instruction limit
% 92.27/13.87 % (3717889)Termination phase: Saturation
% 92.27/13.87 % (3717889)Time elapsed: 0.095 s
% 92.27/13.87 % (3717889)Peak memory usage: 92 MB
% 92.27/13.87 % (3717889)Instructions burned: 187 (million)
% 92.27/13.87 % (3717891)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1661834432:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2952 on theBenchmark for (2952ds/193Mi)
% 92.27/13.87 % (3717891)Instruction limit reached!
% 92.27/13.87 % (3717891)------------------------------
% 92.27/13.87 % (3717891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.27/13.87 % (3717891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.27/13.87 % (3717891)CaDiCaL version: 2.1.3
% 92.27/13.87 % (3717891)Termination reason: Instruction limit
% 92.27/13.87 % (3717891)Termination phase: Saturation
% 92.27/13.87 % (3717891)Time elapsed: 0.106 s
% 92.27/13.87 % (3717891)Peak memory usage: 90 MB
% 92.27/13.87 % (3717891)Instructions burned: 193 (million)
% 92.27/13.87 % (3717893)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3272438904:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2950 on theBenchmark for (2950ds/4850Mi)
% 92.27/13.87 % (3717870)Instruction limit reached!
% 92.27/13.87 % (3717870)------------------------------
% 92.27/13.87 % (3717870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.27/13.87 % (3717870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.27/13.87 % (3717870)CaDiCaL version: 2.1.3
% 92.27/13.87 % (3717870)Termination reason: Instruction limit
% 92.27/13.87 % (3717870)Termination phase: Saturation
% 92.27/13.87 % (3717870)Time elapsed: 4.229 s
% 92.27/13.87 % (3717870)Peak memory usage: 233 MB
% 92.27/13.87 % (3717870)Instructions burned: 13196 (million)
% 92.27/13.87 % (3717895)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=464808008:i=12111:sd=1:ss=included_2945 on theBenchmark for (2945ds/12111Mi)
% 92.27/13.87 % (3717881)Instruction limit reached!
% 92.27/13.87 % (3717881)------------------------------
% 92.27/13.87 % (3717881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.27/13.87 % (3717881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717881)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717881)Termination reason: Instruction limit
% 88.41/15.35 % (3717881)Termination phase: Saturation
% 88.41/15.35 % (3717881)Time elapsed: 3.507 s
% 88.41/15.35 % (3717881)Peak memory usage: 169 MB
% 88.41/15.35 % (3717881)Instructions burned: 6060 (million)
% 88.41/15.35 % (3717897)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1527783486:i=319:kws=precedence:fsr=off_2941 on theBenchmark for (2941ds/319Mi)
% 88.41/15.35 % (3717897)Instruction limit reached!
% 88.41/15.35 % (3717897)------------------------------
% 88.41/15.35 % (3717897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717897)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717897)Termination reason: Instruction limit
% 88.41/15.35 % (3717897)Termination phase: Saturation
% 88.41/15.35 % (3717897)Time elapsed: 0.170 s
% 88.41/15.35 % (3717897)Peak memory usage: 93 MB
% 88.41/15.35 % (3717897)Instructions burned: 320 (million)
% 88.41/15.35 % (3717899)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2153438577:i=2064:ep=RST_2938 on theBenchmark for (2938ds/2064Mi)
% 88.41/15.35 % (3717899)Instruction limit reached!
% 88.41/15.35 % (3717899)------------------------------
% 88.41/15.35 % (3717899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717899)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717899)Termination reason: Instruction limit
% 88.41/15.35 % (3717899)Termination phase: Saturation
% 88.41/15.35 % (3717899)Time elapsed: 1.176 s
% 88.41/15.35 % (3717899)Peak memory usage: 104 MB
% 88.41/15.35 % (3717899)Instructions burned: 2065 (million)
% 88.41/15.35 % (3717901)dis-1011_128_sil=32000:random_seed=1153346665:i=3706:ep=RST:av=off_2925 on theBenchmark for (2925ds/3706Mi)
% 88.41/15.35 % (3717893)Instruction limit reached!
% 88.41/15.35 % (3717893)------------------------------
% 88.41/15.35 % (3717893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717893)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717893)Termination reason: Instruction limit
% 88.41/15.35 % (3717893)Termination phase: Saturation
% 88.41/15.35 % (3717893)Time elapsed: 2.520 s
% 88.41/15.35 % (3717893)Peak memory usage: 139 MB
% 88.41/15.35 % (3717893)Instructions burned: 4851 (million)
% 88.41/15.35 % (3717903)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2317381602:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2923 on theBenchmark for (2923ds/757Mi)
% 88.41/15.35 % (3717903)Instruction limit reached!
% 88.41/15.35 % (3717903)------------------------------
% 88.41/15.35 % (3717903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717903)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717903)Termination reason: Instruction limit
% 88.41/15.35 % (3717903)Termination phase: Saturation
% 88.41/15.35 % (3717903)Time elapsed: 0.421 s
% 88.41/15.35 % (3717903)Peak memory usage: 107 MB
% 88.41/15.35 % (3717903)Instructions burned: 762 (million)
% 88.41/15.35 % (3717905)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3273462510:i=13913:ss=axioms:sgt=8_2918 on theBenchmark for (2918ds/13913Mi)
% 88.41/15.35 % (3717895)Instruction limit reached!
% 88.41/15.35 % (3717895)------------------------------
% 88.41/15.35 % (3717895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717895)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717895)Termination reason: Instruction limit
% 88.41/15.35 % (3717895)Termination phase: Saturation
% 88.41/15.35 % (3717895)Time elapsed: 4.088 s
% 88.41/15.35 % (3717895)Peak memory usage: 254 MB
% 88.41/15.35 % (3717895)Instructions burned: 12114 (million)
% 88.41/15.35 % (3717901)Instruction limit reached!
% 88.41/15.35 % (3717901)------------------------------
% 88.41/15.35 % (3717901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717901)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717901)Termination reason: Instruction limit
% 88.41/15.35 % (3717901)Termination phase: Saturation
% 88.41/15.35 % (3717901)Time elapsed: 2.093 s
% 88.41/15.35 % (3717901)Peak memory usage: 109 MB
% 88.41/15.35 % (3717901)Instructions burned: 3708 (million)
% 88.41/15.35 % (3717907)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3737661991:i=9925:aac=none_2903 on theBenchmark for (2903ds/9925Mi)
% 88.41/15.35 % (3717908)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2359209834:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2903 on theBenchmark for (2903ds/2479Mi)
% 88.41/15.35 % (3717885)Instruction limit reached!
% 88.41/15.35 % (3717885)------------------------------
% 88.41/15.35 % (3717885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717885)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717885)Termination reason: Instruction limit
% 88.41/15.35 % (3717885)Termination phase: Saturation
% 88.41/15.35 % (3717885)Time elapsed: 8.029 s
% 88.41/15.35 % (3717885)Peak memory usage: 232 MB
% 88.41/15.35 % (3717885)Instructions burned: 14157 (million)
% 88.41/15.35 % (3717911)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3259959719:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2892 on theBenchmark for (2892ds/440Mi)
% 88.41/15.35 % (3717911)Instruction limit reached!
% 88.41/15.35 % (3717911)------------------------------
% 88.41/15.35 % (3717911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717911)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717911)Termination reason: Instruction limit
% 88.41/15.35 % (3717911)Termination phase: Saturation
% 88.41/15.35 % (3717911)Time elapsed: 0.229 s
% 88.41/15.35 % (3717911)Peak memory usage: 92 MB
% 88.41/15.35 % (3717911)Instructions burned: 442 (million)
% 88.41/15.35 % (3717908)Instruction limit reached!
% 88.41/15.35 % (3717908)------------------------------
% 88.41/15.35 % (3717908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717908)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717908)Termination reason: Instruction limit
% 88.41/15.35 % (3717908)Termination phase: Saturation
% 88.41/15.35 % (3717908)Time elapsed: 1.378 s
% 88.41/15.35 % (3717908)Peak memory usage: 108 MB
% 88.41/15.35 % (3717908)Instructions burned: 2479 (million)
% 88.41/15.35 % (3717913)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2850329575:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2888 on theBenchmark for (2888ds/11145Mi)
% 88.41/15.35 % (3717914)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=3090251649:cts=off:i=3034:av=off:er=known:fsd=on_2888 on theBenchmark for (2888ds/3034Mi)
% 88.41/15.35 % (3717907)Instruction limit reached!
% 88.41/15.35 % (3717907)------------------------------
% 88.41/15.35 % (3717907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717907)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717907)Termination reason: Instruction limit
% 88.41/15.35 % (3717907)Termination phase: Saturation
% 88.41/15.35 % (3717907)Time elapsed: 3.129 s
% 88.41/15.35 % (3717907)Peak memory usage: 208 MB
% 88.41/15.35 % (3717907)Instructions burned: 9928 (million)
% 88.41/15.35 % (3717917)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1373632277:st=2:s2a=on:i=524:s2at=2:ss=axioms_2871 on theBenchmark for (2871ds/524Mi)
% 88.41/15.35 % (3717914)Instruction limit reached!
% 88.41/15.35 % (3717914)------------------------------
% 88.41/15.35 % (3717914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717914)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717914)Termination reason: Instruction limit
% 88.41/15.35 % (3717914)Termination phase: Saturation
% 88.41/15.35 % (3717914)Time elapsed: 1.665 s
% 88.41/15.35 % (3717914)Peak memory usage: 136 MB
% 88.41/15.35 % (3717914)Instructions burned: 3034 (million)
% 88.41/15.35 % (3717917)Instruction limit reached!
% 88.41/15.35 % (3717917)------------------------------
% 88.41/15.35 % (3717917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717917)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717917)Termination reason: Instruction limit
% 88.41/15.35 % (3717917)Termination phase: Saturation
% 88.41/15.35 % (3717917)Time elapsed: 0.129 s
% 88.41/15.35 % (3717917)Peak memory usage: 94 MB
% 88.41/15.35 % (3717917)Instructions burned: 528 (million)
% 88.41/15.35 % (3717919)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2661742865:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2870 on theBenchmark for (2870ds/1016Mi)
% 88.41/15.35 % (3717920)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3639818076:i=14123:bd=preordered:ins=4_2869 on theBenchmark for (2869ds/14123Mi)
% 88.41/15.35 % (3717919)Instruction limit reached!
% 88.41/15.35 % (3717919)------------------------------
% 88.41/15.35 % (3717919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.41/15.35 % (3717919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.41/15.35 % (3717919)CaDiCaL version: 2.1.3
% 88.41/15.35 % (3717919)Termination reason: Instruction limit
% 88.41/15.35 % (3717919)Termination phase: Saturation
% 88.41/15.35 % (3717919)Time elapsed: 0.506 s
% 88.41/15.35 % (3717919)Peak memory usage: 115 MB
% 88.41/15.35 % (3717919)Instructions burned: 1016 (million)
% 88.41/15.35 % (3717923)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1784348016:i=5781:kws=precedence:bd=all:rawr=on_2863 on theBenchmark for (2863ds/5781Mi)
% 88.41/15.35 % (3717829)First to succeed.
% 88.41/15.35 % (3717829)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3717824"
% 88.41/15.35 % (3717829)Refutation found. Thanks to Tanya!
% 88.41/15.35 % SZS status Theorem for theBenchmark
% 88.41/15.35 % SZS output start Proof for theBenchmark
% See solution above
% 103.44/15.55 % (3717829)------------------------------
% 103.44/15.55 % (3717829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.44/15.55 % (3717829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.44/15.55 % (3717829)CaDiCaL version: 2.1.3
% 103.44/15.55 % (3717829)Termination reason: Refutation
% 103.44/15.55 % (3717829)Time elapsed: 14.053 s
% 103.44/15.55 % (3717829)Peak memory usage: 341 MB
% 103.44/15.55 % (3717829)Instructions burned: 23812 (million)
% 103.44/15.55 % (3717829)------------------------------
% 103.44/15.55 % (3717829)------------------------------
% 103.44/15.55 % (3717824)Success in time 14.523 s
% 103.44/15.55 % Vampire exiting
%------------------------------------------------------------------------------