%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM522+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 28.60s 5.33s
% Output : Refutation 32.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 36
% Syntax : Number of formulae : 332 ( 38 unt; 18 def)
% Number of atoms : 1430 ( 365 equ)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 1905 ( 807 ~; 854 |; 173 &)
% ( 21 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 19 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 292 ( 0 sgn 266 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(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/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(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/sandbox/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)
=> ~ ( ( X5 != sz10
& ! [X6] :
( ( aNaturalNumber0(X6)
& ? [X7] :
( aNaturalNumber0(X7)
& X5 = sdtasdt0(X6,X7) )
& doDivides0(X6,X5) )
=> ( X6 = sz10
| X6 = X5 ) ) )
| isPrime0(X5) ) ) ) )
=> ~ ( X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
| doDivides0(X3,X2) ) )
=> ( X3 = sz10
| X3 = X2 ) )
& isPrime0(X2) ) ) ) ),
file('/export/starexec/sandbox/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)
=> ~ ( ( X5 != sz10
& ! [X6] :
( ( aNaturalNumber0(X6)
& ? [X7] :
( aNaturalNumber0(X7)
& X5 = sdtasdt0(X6,X7) )
& doDivides0(X6,X5) )
=> ( X6 = sz10
| X6 = X5 ) ) )
| isPrime0(X5) ) ) ) )
=> ~ ( X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ( ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
| doDivides0(X3,X2) ) )
=> ( X3 = sz10
| X3 = X2 ) )
& isPrime0(X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
~ ! [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)
=> ~ ( ( X5 != sz10
& ! [X6] :
( ( aNaturalNumber0(X6)
& ? [X7] :
( aNaturalNumber0(X7)
& X5 = sdtasdt0(X6,X7) )
& doDivides0(X6,X5) )
=> ( X6 = sz10
| X6 = X5 ) ) )
| isPrime0(X5) ) ) ) )
=> ~ ( X2 != sz10
& ! [X8] :
( ( aNaturalNumber0(X8)
& ( ? [X9] :
( aNaturalNumber0(X9)
& sdtasdt0(X8,X9) = X2 )
| doDivides0(X8,X2) ) )
=> ( sz10 = X8
| X2 = X8 ) )
& isPrime0(X2) ) ) ) ),
inference(rectify,[],[f41]) ).
fof(f45,plain,
? [X0,X1,X2] :
( X2 != sz10
& ! [X8] :
( sz10 = X8
| X2 = X8
| ~ aNaturalNumber0(X8)
| ( ! [X9] :
( ~ aNaturalNumber0(X9)
| sdtasdt0(X8,X9) != X2 )
& ~ doDivides0(X8,X2) ) )
& isPrime0(X2)
& ! [X3,X4,X5] :
( ( ( sz10 = X5
| ? [X6] :
( sz10 != X6
& X5 != X6
& aNaturalNumber0(X6)
& ? [X7] :
( aNaturalNumber0(X7)
& X5 = sdtasdt0(X6,X7) )
& doDivides0(X6,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,[],[f42]) ).
fof(f46,plain,
? [X0,X1,X2] :
( X2 != sz10
& ! [X8] :
( sz10 = X8
| X2 = X8
| ~ aNaturalNumber0(X8)
| ( ! [X9] :
( ~ aNaturalNumber0(X9)
| sdtasdt0(X8,X9) != X2 )
& ~ doDivides0(X8,X2) ) )
& isPrime0(X2)
& ! [X3,X4,X5] :
( ( ( sz10 = X5
| ? [X6] :
( sz10 != X6
& X5 != X6
& aNaturalNumber0(X6)
& ? [X7] :
( aNaturalNumber0(X7)
& X5 = sdtasdt0(X6,X7) )
& doDivides0(X6,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,[],[f45]) ).
fof(f49,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f50,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f52,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f53]) ).
fof(f57,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f58,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f60,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f59]) ).
fof(f63,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f64,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f63]) ).
fof(f67,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(f68,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,[],[f67]) ).
fof(f73,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f74,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(f75,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f77,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f76]) ).
fof(f85,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f86,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f91,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f92,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f93,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f92]) ).
fof(f94,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(f95,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,[],[f94]) ).
fof(f102,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f103,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f107,plain,
? [X0,X1,X2] :
( X2 != sz10
& ! [X3] :
( sz10 = X3
| X2 = X3
| ~ aNaturalNumber0(X3)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X4) != X2 )
& ~ doDivides0(X3,X2) ) )
& isPrime0(X2)
& ! [X5,X6,X7] :
( ( ( sz10 = X7
| ? [X8] :
( sz10 != X8
& X7 != X8
& aNaturalNumber0(X8)
& ? [X9] :
( aNaturalNumber0(X9)
& sdtasdt0(X8,X9) = X7 )
& doDivides0(X8,X7) ) )
& ~ isPrime0(X7) )
| ~ iLess0(X5,X0)
| sdtasdt0(X7,sdtasdt0(X6,X6)) != sdtasdt0(X5,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| sz00 = X5
| sz00 = X6
| sz00 = X7 )
& sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
& aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 ),
inference(rectify,[],[f46]) ).
fof(f108,plain,
( sz10 != sK2
& ! [X3] :
( sz10 = X3
| sK2 = X3
| ~ aNaturalNumber0(X3)
| ( ! [X4] :
( ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X4) != sK2 )
& ~ doDivides0(X3,sK2) ) )
& isPrime0(sK2)
& ! [X5,X6,X7] :
( ( ( sz10 = X7
| ( sz10 != sK3(X7)
& sK3(X7) != X7
& aNaturalNumber0(sK3(X7))
& aNaturalNumber0(sK4(X7))
& sdtasdt0(sK3(X7),sK4(X7)) = X7
& doDivides0(sK3(X7),X7) ) )
& ~ isPrime0(X7) )
| ~ iLess0(X5,sK0)
| sdtasdt0(X7,sdtasdt0(X6,X6)) != sdtasdt0(X5,X5)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| sz00 = X5
| sz00 = X6
| sz00 = X7 )
& sdtasdt0(sK2,sdtasdt0(sK1,sK1)) = sdtasdt0(sK0,sK0)
& aNaturalNumber0(sK0)
& aNaturalNumber0(sK1)
& aNaturalNumber0(sK2)
& sz00 != sK0
& sz00 != sK1
& sz00 != sK2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X8,sK3(X7)),skolemize(X9,sK4(X7))],[f107]) ).
fof(f109,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,[],[f50]) ).
fof(f110,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,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK5(X0,X1))
& sdtasdt0(X0,sK5(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1))],[f110]) ).
fof(f120,plain,
sz00 != sK2,
inference(cnf_transformation,[],[f108]) ).
fof(f121,plain,
sz00 != sK1,
inference(cnf_transformation,[],[f108]) ).
fof(f122,plain,
sz00 != sK0,
inference(cnf_transformation,[],[f108]) ).
fof(f123,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f124,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f125,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f126,plain,
sdtasdt0(sK2,sdtasdt0(sK1,sK1)) = sdtasdt0(sK0,sK0),
inference(cnf_transformation,[],[f108]) ).
fof(f127,plain,
! [X6,X7,X5] :
( sdtasdt0(X7,sdtasdt0(X6,X6)) != sdtasdt0(X5,X5)
| ~ iLess0(X5,sK0)
| ~ isPrime0(X7)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| sz00 = X5
| sz00 = X6
| sz00 = X7 ),
inference(cnf_transformation,[],[f108]) ).
fof(f134,plain,
isPrime0(sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f137,plain,
sz10 != sK2,
inference(cnf_transformation,[],[f108]) ).
fof(f139,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK5(X0,X1)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f140,plain,
! [X0,X1] :
( aNaturalNumber0(sK5(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f141,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f142,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f143,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f145,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f151,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f153,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f157,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f161,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f167,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f73]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f177,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f190,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f91]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f193,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,[],[f95]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f198,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f200,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f141]) ).
fof(f208,definition,
( spl9_1
<=> aNaturalNumber0(sz10) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f209,plain,
( aNaturalNumber0(sz10)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f226,plain,
spl9_1,
inference(avatar_split_clause,[],[f177,f208]) ).
fof(f228,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f200,f179]) ).
fof(f230,plain,
( aNaturalNumber0(sdtasdt0(sK0,sK0))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1)) ),
inference(superposition,[],[f179,f126]) ).
fof(f231,plain,
( aNaturalNumber0(sdtasdt0(sK0,sK0))
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1)) ),
inference(forward_subsumption_resolution,[],[f230,f123]) ).
fof(f233,definition,
( spl9_5
<=> aNaturalNumber0(sdtasdt0(sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f234,plain,
( aNaturalNumber0(sdtasdt0(sK1,sK1))
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( ~ aNaturalNumber0(sdtasdt0(sK1,sK1))
| spl9_5 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl9_6
<=> aNaturalNumber0(sdtasdt0(sK0,sK0)) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f239,plain,
( aNaturalNumber0(sdtasdt0(sK0,sK0))
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,plain,
( ~ spl9_5
| spl9_6 ),
inference(avatar_split_clause,[],[f231,f237,f233]) ).
fof(f246,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK0) = sdtasdt0(sK0,X0) ),
inference(resolution,[],[f169,f125]) ).
fof(f247,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK1) = sdtasdt0(sK1,X0) ),
inference(resolution,[],[f169,f124]) ).
fof(f248,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK2) = sdtasdt0(sK2,X0) ),
inference(resolution,[],[f169,f123]) ).
fof(f252,plain,
sK2 = sdtasdt0(sz10,sK2),
inference(resolution,[],[f190,f123]) ).
fof(f274,plain,
( ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK1)
| spl9_5 ),
inference(resolution,[],[f235,f179]) ).
fof(f275,plain,
( ~ aNaturalNumber0(sK1)
| spl9_5 ),
inference(duplicate_literal_removal,[],[f274]) ).
fof(f276,plain,
( $false
| spl9_5 ),
inference(forward_subsumption_resolution,[],[f275,f124]) ).
fof(f277,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f283,plain,
sz00 = sdtasdt0(sK2,sz00),
inference(resolution,[],[f167,f123]) ).
fof(f288,plain,
( doDivides0(sK2,sdtasdt0(sK0,sK0))
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f228,f126]) ).
fof(f296,plain,
( doDivides0(sK2,sdtasdt0(sK0,sK0))
| ~ aNaturalNumber0(sK2)
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f288,f234]) ).
fof(f300,plain,
( doDivides0(sK2,sdtasdt0(sK0,sK0))
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f296,f123]) ).
fof(f378,definition,
( spl9_7
<=> sz00 = sdtasdt0(sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f379,plain,
( sz00 != sdtasdt0(sK1,sK1)
| spl9_7 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f380,plain,
( sz00 = sdtasdt0(sK1,sK1)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f407,plain,
( sdtasdt0(sK0,sK0) = sdtasdt0(sK2,sz00)
| ~ spl9_7 ),
inference(superposition,[],[f126,f380]) ).
fof(f433,plain,
( sz00 = sdtasdt0(sK0,sK0)
| ~ spl9_7 ),
inference(forward_demodulation,[],[f407,f283]) ).
fof(f514,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sdtasdt0(sK0,sK0))
| sz00 = sK2
| sdtasdt0(sK1,sK1) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1)) ),
inference(superposition,[],[f145,f126]) ).
fof(f519,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sdtasdt0(sK0,sK0))
| sdtasdt0(sK1,sK1) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1)) ),
inference(forward_subsumption_resolution,[],[f514,f120]) ).
fof(f530,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sdtasdt0(sK0,sK0))
| sdtasdt0(sK1,sK1) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1)) ),
inference(forward_subsumption_resolution,[],[f519,f123]) ).
fof(f541,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sK2,X0),sdtasdt0(sK0,sK0))
| sdtasdt0(sK1,sK1) = X0
| ~ sdtlseqdt0(X0,sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(X0) )
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f530,f234]) ).
fof(f601,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| sdtasdt0(X0,X1) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| sz00 = X1
| X0 = X2
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f153,f143]) ).
fof(f603,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f153,f145]) ).
fof(f605,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f603,f161]) ).
fof(f607,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| sz00 = X1
| X0 = X2
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f601,f160]) ).
fof(f608,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f605,f179]) ).
fof(f609,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| ~ aNaturalNumber0(sdtasdt0(X2,X1))
| sz00 = X1
| X0 = X2
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f607,f179]) ).
fof(f610,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f608,f179]) ).
fof(f611,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))
| sz00 = X1
| X0 = X2
| ~ sdtlseqdt0(X2,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f609,f179]) ).
fof(f612,plain,
( doDivides0(sK2,sK0)
| ~ isPrime0(sK2)
| doDivides0(sK2,sK0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2)
| ~ spl9_5 ),
inference(resolution,[],[f300,f193]) ).
fof(f617,plain,
( doDivides0(sK2,sK0)
| ~ isPrime0(sK2)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2)
| ~ spl9_5 ),
inference(duplicate_literal_removal,[],[f612]) ).
fof(f620,plain,
( doDivides0(sK2,sK0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK2)
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f617,f134]) ).
fof(f623,plain,
( doDivides0(sK2,sK0)
| ~ aNaturalNumber0(sK2)
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f620,f125]) ).
fof(f626,plain,
( doDivides0(sK2,sK0)
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f623,f123]) ).
fof(f729,plain,
( sz00 != sz00
| sz00 = sK0
| sz00 = sK0
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK0)
| ~ spl9_7 ),
inference(superposition,[],[f157,f433]) ).
fof(f734,plain,
( sz00 != sz00
| sz00 = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl9_7 ),
inference(duplicate_literal_removal,[],[f729]) ).
fof(f735,plain,
( sz00 = sK0
| ~ aNaturalNumber0(sK0)
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f734]) ).
fof(f737,plain,
( ~ aNaturalNumber0(sK0)
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f735,f122]) ).
fof(f740,plain,
( $false
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f737,f125]) ).
fof(f741,plain,
~ spl9_7,
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f820,plain,
sdtasdt0(sK1,sK0) = sdtasdt0(sK0,sK1),
inference(resolution,[],[f246,f124]) ).
fof(f821,plain,
sdtasdt0(sK2,sK0) = sdtasdt0(sK0,sK2),
inference(resolution,[],[f246,f123]) ).
fof(f872,definition,
( spl9_21
<=> sK0 = sK1 ),
introduced(definition,[new_symbols(definition,[spl9_21])],[avatar_definition]) ).
fof(f873,plain,
( sK0 != sK1
| spl9_21 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( sK0 = sK1
| ~ spl9_21 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f880,plain,
( sdtasdt0(sK1,sK1) = sdtasdt0(sz10,sdtasdt0(sK1,sK1))
| ~ spl9_5 ),
inference(resolution,[],[f234,f190]) ).
fof(f894,plain,
! [X0] :
( sdtasdt0(sK0,sK0) != sdtasdt0(sK2,X0)
| sdtasdt0(sK1,sK1) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1))
| sz00 = sK2
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f161,f126]) ).
fof(f898,plain,
( ! [X0] :
( sdtasdt0(sK0,sK0) != sdtasdt0(sK2,X0)
| sdtasdt0(sK1,sK1) = X0
| ~ aNaturalNumber0(X0)
| sz00 = sK2
| ~ aNaturalNumber0(sK2) )
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f894,f234]) ).
fof(f904,plain,
( ! [X0] :
( sdtasdt0(sK0,sK0) != sdtasdt0(sK2,X0)
| sdtasdt0(sK1,sK1) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) )
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f898,f120]) ).
fof(f910,plain,
( ! [X0] :
( sdtasdt0(sK0,sK0) != sdtasdt0(sK2,X0)
| sdtasdt0(sK1,sK1) = X0
| ~ aNaturalNumber0(X0) )
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f904,f123]) ).
fof(f944,plain,
sdtasdt0(sK2,sK1) = sdtasdt0(sK1,sK2),
inference(resolution,[],[f247,f123]) ).
fof(f1329,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(X0,sdtasdt0(sK1,sK1)))
| sz00 = sdtasdt0(sK1,sK1)
| sK2 = X0
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f611,f126]) ).
fof(f1355,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(X0,sdtasdt0(sK1,sK1)))
| sK2 = X0
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) )
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f1329,f379]) ).
fof(f1373,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(X0,sdtasdt0(sK1,sK1)))
| sK2 = X0
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) )
| ~ spl9_5
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f1355,f234]) ).
fof(f1390,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(X0,sdtasdt0(sK1,sK1)))
| sK2 = X0
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X0) )
| ~ spl9_5
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f1373,f123]) ).
fof(f1423,plain,
( sdtlseqdt0(sz10,sK2)
| sz00 = sK2
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(superposition,[],[f142,f252]) ).
fof(f1841,plain,
( sdtlseqdt0(sz10,sK2)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sz10) ),
inference(forward_subsumption_resolution,[],[f1423,f120]) ).
fof(f1844,plain,
( sdtlseqdt0(sz10,sK2)
| ~ aNaturalNumber0(sz10) ),
inference(forward_subsumption_resolution,[],[f1841,f123]) ).
fof(f1847,plain,
( sdtlseqdt0(sz10,sK2)
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f1844,f209]) ).
fof(f2233,plain,
( sK0 = sdtasdt0(sK2,sK5(sK2,sK0))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK0)
| ~ spl9_5 ),
inference(resolution,[],[f139,f626]) ).
fof(f2249,plain,
( sK0 = sdtasdt0(sK2,sK5(sK2,sK0))
| ~ aNaturalNumber0(sK0)
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f2233,f123]) ).
fof(f2253,plain,
( sK0 = sdtasdt0(sK2,sK5(sK2,sK0))
| ~ spl9_5 ),
inference(forward_subsumption_resolution,[],[f2249,f125]) ).
fof(f2879,definition,
( spl9_56
<=> aNaturalNumber0(sK5(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl9_56])],[avatar_definition]) ).
fof(f2880,plain,
( aNaturalNumber0(sK5(sK2,sK0))
| ~ spl9_56 ),
inference(avatar_component_clause,[],[f2879]) ).
fof(f2881,plain,
( ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_56 ),
inference(avatar_component_clause,[],[f2879]) ).
fof(f2897,definition,
( spl9_60
<=> sz00 = sK5(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl9_60])],[avatar_definition]) ).
fof(f2898,plain,
( sz00 != sK5(sK2,sK0)
| spl9_60 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f2899,plain,
( sz00 = sK5(sK2,sK0)
| ~ spl9_60 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f2986,plain,
( ~ doDivides0(sK2,sK0)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK0)
| spl9_56 ),
inference(resolution,[],[f2881,f140]) ).
fof(f2987,plain,
( ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK0)
| ~ spl9_5
| spl9_56 ),
inference(forward_subsumption_resolution,[],[f2986,f626]) ).
fof(f2988,plain,
( ~ aNaturalNumber0(sK0)
| ~ spl9_5
| spl9_56 ),
inference(forward_subsumption_resolution,[],[f2987,f123]) ).
fof(f2989,plain,
( $false
| ~ spl9_5
| spl9_56 ),
inference(forward_subsumption_resolution,[],[f2988,f125]) ).
fof(f2990,plain,
( ~ spl9_5
| spl9_56 ),
inference(avatar_contradiction_clause,[],[f2989]) ).
fof(f3127,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sK5(sK2,sK0)) = sdtasdt0(X0,sdtasdt0(X1,sK5(sK2,sK0))) )
| ~ spl9_56 ),
inference(resolution,[],[f2880,f168]) ).
fof(f3134,plain,
( sdtasdt0(sK2,sK5(sK2,sK0)) = sdtasdt0(sK5(sK2,sK0),sK2)
| ~ spl9_56 ),
inference(resolution,[],[f2880,f248]) ).
fof(f3971,plain,
( sK0 = sdtasdt0(sK5(sK2,sK0),sK2)
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_demodulation,[],[f3134,f2253]) ).
fof(f4939,plain,
( sdtlseqdt0(sK5(sK2,sK0),sK0)
| sz00 = sK2
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ spl9_5
| ~ spl9_56 ),
inference(superposition,[],[f142,f3971]) ).
fof(f4983,plain,
( sdtlseqdt0(sK5(sK2,sK0),sK0)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_subsumption_resolution,[],[f4939,f120]) ).
fof(f5003,plain,
( sdtlseqdt0(sK5(sK2,sK0),sK0)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_subsumption_resolution,[],[f4983,f123]) ).
fof(f5022,plain,
( sdtlseqdt0(sK5(sK2,sK0),sK0)
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_subsumption_resolution,[],[f5003,f2880]) ).
fof(f5322,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f151,f192]) ).
fof(f5339,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| sdtlseqdt0(X1,X0) ),
inference(duplicate_literal_removal,[],[f5322]) ).
fof(f7850,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK0),sK5(sK2,sK0)) = sdtasdt0(X0,sdtasdt0(sK0,sK5(sK2,sK0))) )
| ~ spl9_56 ),
inference(resolution,[],[f3127,f125]) ).
fof(f7851,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK1),sK5(sK2,sK0)) = sdtasdt0(X0,sdtasdt0(sK1,sK5(sK2,sK0))) )
| ~ spl9_56 ),
inference(resolution,[],[f3127,f124]) ).
fof(f7852,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK2),sK5(sK2,sK0)) = sdtasdt0(X0,sdtasdt0(sK2,sK5(sK2,sK0))) )
| ~ spl9_56 ),
inference(resolution,[],[f3127,f123]) ).
fof(f7854,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK5(sK2,sK0)),sK5(sK2,sK0)) = sdtasdt0(X0,sdtasdt0(sK5(sK2,sK0),sK5(sK2,sK0))) )
| ~ spl9_56 ),
inference(resolution,[],[f3127,f2880]) ).
fof(f7863,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK0) = sdtasdt0(sdtasdt0(X0,sK2),sK5(sK2,sK0)) )
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_demodulation,[],[f7852,f2253]) ).
fof(f7877,plain,
( sdtasdt0(sdtasdt0(sK2,sK5(sK2,sK0)),sK5(sK2,sK0)) = sdtasdt0(sK2,sdtasdt0(sK5(sK2,sK0),sK5(sK2,sK0)))
| ~ spl9_56 ),
inference(resolution,[],[f7854,f123]) ).
fof(f7888,plain,
( sdtasdt0(sK0,sK5(sK2,sK0)) = sdtasdt0(sK2,sdtasdt0(sK5(sK2,sK0),sK5(sK2,sK0)))
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_demodulation,[],[f7877,f2253]) ).
fof(f8101,definition,
( spl9_204
<=> sdtasdt0(sK0,sK0) = sdtasdt0(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl9_204])],[avatar_definition]) ).
fof(f8102,plain,
( sdtasdt0(sK0,sK0) = sdtasdt0(sK0,sK1)
| ~ spl9_204 ),
inference(avatar_component_clause,[],[f8101]) ).
fof(f8103,plain,
( sdtasdt0(sK0,sK0) != sdtasdt0(sK0,sK1)
| spl9_204 ),
inference(avatar_component_clause,[],[f8101]) ).
fof(f8677,plain,
( sdtasdt0(sK0,sK0) = sdtasdt0(sdtasdt0(sK0,sK2),sK5(sK2,sK0))
| ~ spl9_5
| ~ spl9_56 ),
inference(resolution,[],[f7863,f125]) ).
fof(f8678,plain,
( sdtasdt0(sK1,sK0) = sdtasdt0(sdtasdt0(sK1,sK2),sK5(sK2,sK0))
| ~ spl9_5
| ~ spl9_56 ),
inference(resolution,[],[f7863,f124]) ).
fof(f8693,plain,
( sdtasdt0(sK1,sK0) = sdtasdt0(sdtasdt0(sK2,sK1),sK5(sK2,sK0))
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_demodulation,[],[f8678,f944]) ).
fof(f8703,plain,
( sdtasdt0(sK0,sK1) = sdtasdt0(sdtasdt0(sK2,sK1),sK5(sK2,sK0))
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_demodulation,[],[f8693,f820]) ).
fof(f9360,plain,
( sK0 = sdtasdt0(sK2,sz00)
| ~ spl9_5
| ~ spl9_60 ),
inference(superposition,[],[f2253,f2899]) ).
fof(f9372,plain,
( sz00 = sK0
| ~ spl9_5
| ~ spl9_60 ),
inference(forward_demodulation,[],[f9360,f283]) ).
fof(f9377,plain,
( $false
| ~ spl9_5
| ~ spl9_60 ),
inference(forward_subsumption_resolution,[],[f9372,f122]) ).
fof(f9378,plain,
( ~ spl9_5
| ~ spl9_60 ),
inference(avatar_contradiction_clause,[],[f9377]) ).
fof(f9816,plain,
( sdtasdt0(sdtasdt0(sK2,sK0),sK5(sK2,sK0)) = sdtasdt0(sK2,sdtasdt0(sK0,sK5(sK2,sK0)))
| ~ spl9_56 ),
inference(resolution,[],[f7850,f123]) ).
fof(f9829,plain,
( sdtasdt0(sdtasdt0(sK0,sK2),sK5(sK2,sK0)) = sdtasdt0(sK2,sdtasdt0(sK0,sK5(sK2,sK0)))
| ~ spl9_56 ),
inference(forward_demodulation,[],[f9816,f821]) ).
fof(f9843,plain,
( sdtasdt0(sK0,sK0) = sdtasdt0(sK2,sdtasdt0(sK0,sK5(sK2,sK0)))
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_demodulation,[],[f9829,f8677]) ).
fof(f9850,plain,
( sdtasdt0(sK0,sK0) != sdtasdt0(sK0,sK0)
| sdtasdt0(sK1,sK1) = sdtasdt0(sK0,sK5(sK2,sK0))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK5(sK2,sK0)))
| ~ spl9_5
| ~ spl9_56 ),
inference(superposition,[],[f910,f9843]) ).
fof(f9881,plain,
( sdtasdt0(sK1,sK1) = sdtasdt0(sK0,sK5(sK2,sK0))
| ~ aNaturalNumber0(sdtasdt0(sK0,sK5(sK2,sK0)))
| ~ spl9_5
| ~ spl9_56 ),
inference(trivial_inequality_removal,[],[f9850]) ).
fof(f9904,definition,
( spl9_238
<=> aNaturalNumber0(sdtasdt0(sK0,sK5(sK2,sK0))) ),
introduced(definition,[new_symbols(definition,[spl9_238])],[avatar_definition]) ).
fof(f9906,plain,
( ~ aNaturalNumber0(sdtasdt0(sK0,sK5(sK2,sK0)))
| spl9_238 ),
inference(avatar_component_clause,[],[f9904]) ).
fof(f9912,definition,
( spl9_240
<=> sdtasdt0(sK1,sK1) = sdtasdt0(sK0,sK5(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl9_240])],[avatar_definition]) ).
fof(f9914,plain,
( sdtasdt0(sK1,sK1) = sdtasdt0(sK0,sK5(sK2,sK0))
| ~ spl9_240 ),
inference(avatar_component_clause,[],[f9912]) ).
fof(f9916,definition,
( spl9_241
<=> sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sK0)) ),
introduced(definition,[new_symbols(definition,[spl9_241])],[avatar_definition]) ).
fof(f9917,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sK0))
| ~ spl9_241 ),
inference(avatar_component_clause,[],[f9916]) ).
fof(f9918,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sK0))
| spl9_241 ),
inference(avatar_component_clause,[],[f9916]) ).
fof(f9931,plain,
( ~ spl9_238
| spl9_240
| ~ spl9_5
| ~ spl9_56 ),
inference(avatar_split_clause,[],[f9881,f2879,f233,f9912,f9904]) ).
fof(f10027,plain,
( ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_238 ),
inference(resolution,[],[f9906,f179]) ).
fof(f10028,plain,
( ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_238 ),
inference(forward_subsumption_resolution,[],[f10027,f125]) ).
fof(f10029,plain,
( $false
| ~ spl9_56
| spl9_238 ),
inference(forward_subsumption_resolution,[],[f10028,f2880]) ).
fof(f10030,plain,
( ~ spl9_56
| spl9_238 ),
inference(avatar_contradiction_clause,[],[f10029]) ).
fof(f10178,plain,
( sdtasdt0(sdtasdt0(sK2,sK1),sK5(sK2,sK0)) = sdtasdt0(sK2,sdtasdt0(sK1,sK5(sK2,sK0)))
| ~ spl9_56 ),
inference(resolution,[],[f7851,f123]) ).
fof(f10191,plain,
( sdtasdt0(sK0,sK1) = sdtasdt0(sK2,sdtasdt0(sK1,sK5(sK2,sK0)))
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_demodulation,[],[f10178,f8703]) ).
fof(f10205,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK0))
| sdtasdt0(sK1,sK1) = sdtasdt0(sK1,sK5(sK2,sK0))
| ~ sdtlseqdt0(sdtasdt0(sK1,sK5(sK2,sK0)),sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(sdtasdt0(sK1,sK5(sK2,sK0)))
| ~ spl9_5
| ~ spl9_56 ),
inference(superposition,[],[f541,f10191]) ).
fof(f10262,definition,
( spl9_265
<=> aNaturalNumber0(sdtasdt0(sK1,sK5(sK2,sK0))) ),
introduced(definition,[new_symbols(definition,[spl9_265])],[avatar_definition]) ).
fof(f10264,plain,
( ~ aNaturalNumber0(sdtasdt0(sK1,sK5(sK2,sK0)))
| spl9_265 ),
inference(avatar_component_clause,[],[f10262]) ).
fof(f10266,definition,
( spl9_266
<=> sdtlseqdt0(sdtasdt0(sK1,sK5(sK2,sK0)),sdtasdt0(sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl9_266])],[avatar_definition]) ).
fof(f10268,plain,
( ~ sdtlseqdt0(sdtasdt0(sK1,sK5(sK2,sK0)),sdtasdt0(sK1,sK1))
| spl9_266 ),
inference(avatar_component_clause,[],[f10266]) ).
fof(f10270,definition,
( spl9_267
<=> sdtasdt0(sK1,sK1) = sdtasdt0(sK1,sK5(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl9_267])],[avatar_definition]) ).
fof(f10272,plain,
( sdtasdt0(sK1,sK1) = sdtasdt0(sK1,sK5(sK2,sK0))
| ~ spl9_267 ),
inference(avatar_component_clause,[],[f10270]) ).
fof(f10283,definition,
( spl9_270
<=> sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK0)) ),
introduced(definition,[new_symbols(definition,[spl9_270])],[avatar_definition]) ).
fof(f10284,plain,
( sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK0))
| ~ spl9_270 ),
inference(avatar_component_clause,[],[f10283]) ).
fof(f10285,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK1),sdtasdt0(sK0,sK0))
| spl9_270 ),
inference(avatar_component_clause,[],[f10283]) ).
fof(f10298,plain,
( ~ spl9_265
| ~ spl9_266
| spl9_267
| spl9_270
| ~ spl9_5
| ~ spl9_56 ),
inference(avatar_split_clause,[],[f10205,f2879,f233,f10283,f10270,f10266,f10262]) ).
fof(f10404,plain,
( ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_265 ),
inference(resolution,[],[f10264,f179]) ).
fof(f10405,plain,
( ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_265 ),
inference(forward_subsumption_resolution,[],[f10404,f124]) ).
fof(f10406,plain,
( $false
| ~ spl9_56
| spl9_265 ),
inference(forward_subsumption_resolution,[],[f10405,f2880]) ).
fof(f10407,plain,
( ~ spl9_56
| spl9_265 ),
inference(avatar_contradiction_clause,[],[f10406]) ).
fof(f10438,plain,
( sz00 = sK1
| sK1 = sK5(sK2,sK0)
| ~ sdtlseqdt0(sK5(sK2,sK0),sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ aNaturalNumber0(sK1)
| spl9_266 ),
inference(resolution,[],[f10268,f145]) ).
fof(f10441,plain,
( sz00 = sK1
| sK1 = sK5(sK2,sK0)
| ~ sdtlseqdt0(sK5(sK2,sK0),sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_266 ),
inference(duplicate_literal_removal,[],[f10438]) ).
fof(f10444,plain,
( sK1 = sK5(sK2,sK0)
| ~ sdtlseqdt0(sK5(sK2,sK0),sK1)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_266 ),
inference(forward_subsumption_resolution,[],[f10441,f121]) ).
fof(f10447,plain,
( sK1 = sK5(sK2,sK0)
| ~ sdtlseqdt0(sK5(sK2,sK0),sK1)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| spl9_266 ),
inference(forward_subsumption_resolution,[],[f10444,f124]) ).
fof(f10452,plain,
( sK1 = sK5(sK2,sK0)
| ~ sdtlseqdt0(sK5(sK2,sK0),sK1)
| ~ spl9_56
| spl9_266 ),
inference(forward_subsumption_resolution,[],[f10447,f2880]) ).
fof(f10454,definition,
( spl9_295
<=> sdtlseqdt0(sK5(sK2,sK0),sK1) ),
introduced(definition,[new_symbols(definition,[spl9_295])],[avatar_definition]) ).
fof(f10456,plain,
( ~ sdtlseqdt0(sK5(sK2,sK0),sK1)
| spl9_295 ),
inference(avatar_component_clause,[],[f10454]) ).
fof(f10458,definition,
( spl9_296
<=> sK1 = sK5(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl9_296])],[avatar_definition]) ).
fof(f10460,plain,
( sK1 = sK5(sK2,sK0)
| ~ spl9_296 ),
inference(avatar_component_clause,[],[f10458]) ).
fof(f10461,plain,
( ~ spl9_295
| spl9_296
| ~ spl9_56
| spl9_266 ),
inference(avatar_split_clause,[],[f10452,f10266,f2879,f10458,f10454]) ).
fof(f10736,plain,
( sz00 = sK0
| sK0 = sK1
| ~ sdtlseqdt0(sK0,sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| ~ spl9_270 ),
inference(resolution,[],[f10284,f610]) ).
fof(f10745,plain,
( sz00 = sK0
| sK0 = sK1
| ~ sdtlseqdt0(sK0,sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| ~ spl9_270 ),
inference(duplicate_literal_removal,[],[f10736]) ).
fof(f11566,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK0,sK5(sK2,sK0))
| ~ iLess0(X0,sK0)
| ~ isPrime0(sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ aNaturalNumber0(sK2)
| sz00 = X0
| sz00 = sK5(sK2,sK0)
| sz00 = sK2 )
| ~ spl9_5
| ~ spl9_56 ),
inference(superposition,[],[f127,f7888]) ).
fof(f11626,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK0,sK5(sK2,sK0))
| ~ iLess0(X0,sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ aNaturalNumber0(sK2)
| sz00 = X0
| sz00 = sK5(sK2,sK0)
| sz00 = sK2 )
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_subsumption_resolution,[],[f11566,f134]) ).
fof(f11665,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK0,sK5(sK2,sK0))
| ~ iLess0(X0,sK0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2)
| sz00 = X0
| sz00 = sK5(sK2,sK0)
| sz00 = sK2 )
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_subsumption_resolution,[],[f11626,f2880]) ).
fof(f11776,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK0,sK5(sK2,sK0))
| ~ iLess0(X0,sK0)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = sK5(sK2,sK0)
| sz00 = sK2 )
| ~ spl9_5
| ~ spl9_56 ),
inference(forward_subsumption_resolution,[],[f11665,f123]) ).
fof(f11819,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK0,sK5(sK2,sK0))
| ~ iLess0(X0,sK0)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = sK2 )
| ~ spl9_5
| ~ spl9_56
| spl9_60 ),
inference(forward_subsumption_resolution,[],[f11776,f2898]) ).
fof(f11827,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK0,sK5(sK2,sK0))
| ~ iLess0(X0,sK0)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl9_5
| ~ spl9_56
| spl9_60 ),
inference(forward_subsumption_resolution,[],[f11819,f120]) ).
fof(f11835,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK1,sK1)
| ~ iLess0(X0,sK0)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl9_5
| ~ spl9_56
| spl9_60
| ~ spl9_240 ),
inference(forward_demodulation,[],[f11827,f9914]) ).
fof(f11842,definition,
( spl9_354
<=> ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK1,sK1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl9_354])],[avatar_definition]) ).
fof(f11843,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sK1,sK1)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,sK0) )
| ~ spl9_354 ),
inference(avatar_component_clause,[],[f11842]) ).
fof(f11870,plain,
( spl9_354
| ~ spl9_5
| ~ spl9_56
| spl9_60
| ~ spl9_240 ),
inference(avatar_split_clause,[],[f11835,f9912,f2897,f2879,f233,f11842]) ).
fof(f11880,plain,
( sz00 = sK1
| ~ aNaturalNumber0(sK1)
| ~ iLess0(sK1,sK0)
| ~ spl9_354 ),
inference(equality_resolution,[],[f11843]) ).
fof(f11881,plain,
( ~ aNaturalNumber0(sK1)
| ~ iLess0(sK1,sK0)
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f11880,f121]) ).
fof(f11882,plain,
( ~ iLess0(sK1,sK0)
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f11881,f124]) ).
fof(f11883,plain,
( ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sK0)
| sK0 = sK1
| sdtlseqdt0(sK0,sK1)
| ~ spl9_354 ),
inference(resolution,[],[f11882,f5339]) ).
fof(f11884,plain,
( ~ aNaturalNumber0(sK0)
| sK0 = sK1
| sdtlseqdt0(sK0,sK1)
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f11883,f124]) ).
fof(f11885,plain,
( sK0 = sK1
| sdtlseqdt0(sK0,sK1)
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f11884,f125]) ).
fof(f11886,plain,
( sdtlseqdt0(sK0,sK1)
| spl9_21
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f11885,f873]) ).
fof(f12448,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK1,sK1))
| sz10 = sK2
| ~ sdtlseqdt0(sz10,sK2)
| ~ aNaturalNumber0(sz10)
| ~ spl9_5
| spl9_7 ),
inference(superposition,[],[f1390,f880]) ).
fof(f12494,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK1,sK1))
| ~ sdtlseqdt0(sz10,sK2)
| ~ aNaturalNumber0(sz10)
| ~ spl9_5
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f12448,f137]) ).
fof(f12516,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK1,sK1))
| ~ aNaturalNumber0(sz10)
| ~ spl9_1
| ~ spl9_5
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f12494,f1847]) ).
fof(f12538,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK1,sK1))
| ~ spl9_1
| ~ spl9_5
| spl9_7 ),
inference(forward_subsumption_resolution,[],[f12516,f209]) ).
fof(f12561,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sK0))
| ~ spl9_1
| ~ spl9_5
| spl9_7
| ~ spl9_21 ),
inference(forward_demodulation,[],[f12538,f874]) ).
fof(f12573,plain,
( $false
| ~ spl9_1
| ~ spl9_5
| spl9_7
| ~ spl9_21
| ~ spl9_241 ),
inference(forward_subsumption_resolution,[],[f12561,f9917]) ).
fof(f12574,plain,
( ~ spl9_1
| ~ spl9_5
| spl9_7
| ~ spl9_21
| ~ spl9_241 ),
inference(avatar_contradiction_clause,[],[f12573]) ).
fof(f12582,plain,
( sK0 = sK1
| ~ sdtlseqdt0(sK0,sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| ~ spl9_270 ),
inference(forward_subsumption_resolution,[],[f10745,f122]) ).
fof(f12613,plain,
( ~ sdtlseqdt0(sK0,sK1)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| spl9_21
| ~ spl9_270 ),
inference(forward_subsumption_resolution,[],[f12582,f873]) ).
fof(f12629,plain,
( ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| spl9_21
| ~ spl9_270
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f12613,f11886]) ).
fof(f12637,plain,
( ~ aNaturalNumber0(sK1)
| spl9_21
| ~ spl9_270
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f12629,f125]) ).
fof(f12638,plain,
( $false
| spl9_21
| ~ spl9_270
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f12637,f124]) ).
fof(f12639,plain,
( spl9_21
| ~ spl9_270
| ~ spl9_354 ),
inference(avatar_contradiction_clause,[],[f12638]) ).
fof(f12640,plain,
( ~ sdtlseqdt0(sdtasdt0(sK0,sK0),sdtasdt0(sK0,sK0))
| ~ spl9_204
| spl9_270 ),
inference(forward_demodulation,[],[f10285,f8102]) ).
fof(f12648,plain,
( sdtasdt0(sK2,sdtasdt0(sK1,sK1)) = sdtasdt0(sK0,sK1)
| ~ spl9_5
| ~ spl9_56
| ~ spl9_267 ),
inference(superposition,[],[f10191,f10272]) ).
fof(f12700,plain,
( sdtasdt0(sK0,sK0) = sdtasdt0(sK0,sK1)
| ~ spl9_5
| ~ spl9_56
| ~ spl9_267 ),
inference(forward_demodulation,[],[f12648,f126]) ).
fof(f12724,plain,
( $false
| ~ spl9_5
| ~ spl9_56
| spl9_204
| ~ spl9_267 ),
inference(forward_subsumption_resolution,[],[f12700,f8103]) ).
fof(f12725,plain,
( ~ spl9_5
| ~ spl9_56
| spl9_204
| ~ spl9_267 ),
inference(avatar_contradiction_clause,[],[f12724]) ).
fof(f12747,plain,
( ~ spl9_241
| ~ spl9_204
| spl9_270 ),
inference(avatar_split_clause,[],[f12640,f10283,f8101,f9916]) ).
fof(f12752,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sK0)
| sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1) )
| spl9_21
| ~ spl9_354 ),
inference(resolution,[],[f11886,f197]) ).
fof(f12756,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sK0)
| sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK1) )
| spl9_21
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f12752,f125]) ).
fof(f12757,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sK0)
| sdtlseqdt0(X0,sK1)
| ~ aNaturalNumber0(X0) )
| spl9_21
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f12756,f124]) ).
fof(f13141,plain,
( ~ aNaturalNumber0(sdtasdt0(sK0,sK0))
| spl9_241 ),
inference(resolution,[],[f9918,f198]) ).
fof(f13144,plain,
( $false
| ~ spl9_6
| spl9_241 ),
inference(forward_subsumption_resolution,[],[f13141,f239]) ).
fof(f13145,plain,
( ~ spl9_6
| spl9_241 ),
inference(avatar_contradiction_clause,[],[f13144]) ).
fof(f17675,plain,
( sdtasdt0(sK2,sdtasdt0(sK1,sK1)) = sdtasdt0(sK0,sK1)
| ~ spl9_5
| ~ spl9_56
| ~ spl9_296 ),
inference(superposition,[],[f7888,f10460]) ).
fof(f17701,plain,
( sdtasdt0(sK0,sK0) = sdtasdt0(sK0,sK1)
| ~ spl9_5
| ~ spl9_56
| ~ spl9_296 ),
inference(forward_demodulation,[],[f17675,f126]) ).
fof(f17713,plain,
( $false
| ~ spl9_5
| ~ spl9_56
| spl9_204
| ~ spl9_296 ),
inference(forward_subsumption_resolution,[],[f17701,f8103]) ).
fof(f17714,plain,
( ~ spl9_5
| ~ spl9_56
| spl9_204
| ~ spl9_296 ),
inference(avatar_contradiction_clause,[],[f17713]) ).
fof(f27512,plain,
( sdtlseqdt0(sK5(sK2,sK0),sK1)
| ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ spl9_5
| spl9_21
| ~ spl9_56
| ~ spl9_354 ),
inference(resolution,[],[f12757,f5022]) ).
fof(f27526,plain,
( ~ aNaturalNumber0(sK5(sK2,sK0))
| ~ spl9_5
| spl9_21
| ~ spl9_56
| spl9_295
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f27512,f10456]) ).
fof(f27529,plain,
( $false
| ~ spl9_5
| spl9_21
| ~ spl9_56
| spl9_295
| ~ spl9_354 ),
inference(forward_subsumption_resolution,[],[f27526,f2880]) ).
fof(f27530,plain,
( ~ spl9_5
| spl9_21
| ~ spl9_56
| spl9_295
| ~ spl9_354 ),
inference(avatar_contradiction_clause,[],[f27529]) ).
cnf(s4,plain,
spl9_1,
inference(sat_conversion,[],[f226]) ).
cnf(s5,plain,
( ~ spl9_5
| spl9_6 ),
inference(sat_conversion,[],[f240]) ).
cnf(s6,plain,
spl9_5,
inference(sat_conversion,[],[f277]) ).
cnf(s16,plain,
~ spl9_7,
inference(sat_conversion,[],[f741]) ).
cnf(s70,plain,
( ~ spl9_5
| spl9_56 ),
inference(sat_conversion,[],[f2990]) ).
cnf(s270,plain,
( ~ spl9_5
| ~ spl9_60 ),
inference(sat_conversion,[],[f9378]) ).
cnf(s280,plain,
( ~ spl9_5
| ~ spl9_56
| ~ spl9_238
| spl9_240 ),
inference(sat_conversion,[],[f9931]) ).
cnf(s304,plain,
( ~ spl9_56
| spl9_238 ),
inference(sat_conversion,[],[f10030]) ).
cnf(s312,plain,
( ~ spl9_5
| ~ spl9_56
| ~ spl9_265
| ~ spl9_266
| spl9_267
| spl9_270 ),
inference(sat_conversion,[],[f10298]) ).
cnf(s336,plain,
( ~ spl9_56
| spl9_265 ),
inference(sat_conversion,[],[f10407]) ).
cnf(s340,plain,
( ~ spl9_56
| spl9_266
| ~ spl9_295
| spl9_296 ),
inference(sat_conversion,[],[f10461]) ).
cnf(s424,plain,
( ~ spl9_5
| ~ spl9_56
| spl9_60
| ~ spl9_240
| spl9_354 ),
inference(sat_conversion,[],[f11870]) ).
cnf(s435,plain,
( ~ spl9_1
| ~ spl9_5
| spl9_7
| ~ spl9_21
| ~ spl9_241 ),
inference(sat_conversion,[],[f12574]) ).
cnf(s438,plain,
( spl9_21
| ~ spl9_270
| ~ spl9_354 ),
inference(sat_conversion,[],[f12639]) ).
cnf(s442,plain,
( ~ spl9_5
| ~ spl9_56
| spl9_204
| ~ spl9_267 ),
inference(sat_conversion,[],[f12725]) ).
cnf(s445,plain,
( ~ spl9_204
| ~ spl9_241
| spl9_270 ),
inference(sat_conversion,[],[f12747]) ).
cnf(s453,plain,
( ~ spl9_6
| spl9_241 ),
inference(sat_conversion,[],[f13145]) ).
cnf(s654,plain,
( ~ spl9_5
| ~ spl9_56
| spl9_204
| ~ spl9_296 ),
inference(sat_conversion,[],[f17714]) ).
cnf(s951,plain,
( ~ spl9_5
| spl9_21
| ~ spl9_56
| spl9_295
| ~ spl9_354 ),
inference(sat_conversion,[],[f27530]) ).
cnf(s1023,plain,
~ spl9_60,
inference(rat,[],[s270,s6]) ).
cnf(s1044,plain,
spl9_56,
inference(rat,[],[s70,s6]) ).
cnf(s1051,plain,
spl9_265,
inference(rat,[],[s336,s1044]) ).
cnf(s1052,plain,
spl9_238,
inference(rat,[],[s304,s1044]) ).
cnf(s1106,plain,
spl9_240,
inference(rat,[],[s280,s1044,s6,s1052]) ).
cnf(s1110,plain,
spl9_354,
inference(rat,[],[s424,s1044,s1023,s6,s1106]) ).
cnf(s1111,plain,
spl9_6,
inference(rat,[],[s5,s6]) ).
cnf(s1116,plain,
spl9_241,
inference(rat,[],[s453,s1111]) ).
cnf(s1140,plain,
~ spl9_21,
inference(rat,[],[s435,s1116,s6,s16,s4]) ).
cnf(s1176,plain,
spl9_295,
inference(rat,[],[s951,s1110,s1044,s6,s1140]) ).
cnf(s1177,plain,
~ spl9_270,
inference(rat,[],[s438,s1110,s1140]) ).
cnf(s1205,plain,
~ spl9_204,
inference(rat,[],[s445,s1116,s1177]) ).
cnf(s1216,plain,
~ spl9_296,
inference(rat,[],[s654,s1044,s6,s1205]) ).
cnf(s1217,plain,
~ spl9_267,
inference(rat,[],[s442,s1044,s6,s1205]) ).
cnf(s1225,plain,
spl9_266,
inference(rat,[],[s340,s1176,s1044,s1216]) ).
cnf(s1226,plain,
$false,
inference(rat,[],[s312,s1177,s1051,s1044,s6,s1217,s1225]) ).
fof(f27537,plain,
$false,
inference(avatar_sat_refutation,[],[s1226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM522+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:18:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.32/2.82 % (524040)Detected formulas, will run a generic FOF schedule.
% 13.32/2.82 % (524046)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=3195054677:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.32/2.82 % (524051)dis-21_1_sil=8000:lcm=predicate:random_seed=3962342992: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)
% 13.32/2.82 % (524049)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1708679501:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.32/2.82 % (524045)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=2564284670:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.32/2.82 % (524047)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=201488339:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.32/2.82 % (524048)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=959647308:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.32/2.82 % (524050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=601035738:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.32/2.82 % (524048)Instruction limit reached!
% 13.32/2.82 % (524048)------------------------------
% 13.32/2.82 % (524048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.82 % (524048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.82 % (524048)CaDiCaL version: 2.1.3
% 13.32/2.82 % (524048)Termination reason: Instruction limit
% 13.32/2.82 % (524048)Termination phase: Saturation
% 13.32/2.82 % (524048)Time elapsed: 0.061 s
% 13.32/2.82 % (524048)Peak memory usage: 88 MB
% 13.32/2.82 % (524048)Instructions burned: 109 (million)
% 13.32/2.82 % (524049)Instruction limit reached!
% 13.32/2.82 % (524049)------------------------------
% 13.32/2.82 % (524049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.82 % (524049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.82 % (524049)CaDiCaL version: 2.1.3
% 13.32/2.82 % (524049)Termination reason: Instruction limit
% 13.32/2.82 % (524049)Termination phase: Saturation
% 13.32/2.82 % (524049)Time elapsed: 0.066 s
% 13.32/2.82 % (524049)Peak memory usage: 88 MB
% 13.32/2.82 % (524049)Instructions burned: 120 (million)
% 13.32/2.82 % (524051)Instruction limit reached!
% 13.32/2.82 % (524051)------------------------------
% 13.32/2.82 % (524051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.82 % (524051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.82 % (524051)CaDiCaL version: 2.1.3
% 13.32/2.82 % (524051)Termination reason: Instruction limit
% 13.32/2.82 % (524051)Termination phase: Saturation
% 13.32/2.82 % (524051)Time elapsed: 0.075 s
% 13.32/2.82 % (524051)Peak memory usage: 90 MB
% 13.32/2.82 % (524051)Instructions burned: 131 (million)
% 13.32/2.82 % (524050)Instruction limit reached!
% 13.32/2.82 % (524050)------------------------------
% 13.32/2.82 % (524050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.32/2.82 % (524050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.82 % (524050)CaDiCaL version: 2.1.3
% 13.32/2.82 % (524050)Termination reason: Instruction limit
% 13.32/2.82 % (524050)Termination phase: Saturation
% 13.32/2.82 % (524050)Time elapsed: 0.089 s
% 13.32/2.82 % (524050)Peak memory usage: 90 MB
% 13.32/2.82 % (524050)Instructions burned: 139 (million)
% 13.32/2.82 % (524060)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2792138170:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.32/2.82 % (524059)lrs+10_1_sil=8000:sp=occurrence:random_seed=268295413:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.32/2.82 % (524061)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2872790980:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.32/2.82 % (524062)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=3669730341:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.32/2.82 % (524060)Instruction limit reached!
% 13.32/2.82 % (524060)------------------------------
% 13.32/2.82 % (524060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.03 % (524060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.03 % (524060)CaDiCaL version: 2.1.3
% 29.90/5.03 % (524060)Termination reason: Instruction limit
% 29.90/5.03 % (524060)Termination phase: Saturation
% 29.90/5.03 % (524060)Time elapsed: 0.073 s
% 29.90/5.03 % (524060)Peak memory usage: 91 MB
% 29.90/5.03 % (524060)Instructions burned: 157 (million)
% 29.90/5.03 % (524062)Instruction limit reached!
% 29.90/5.03 % (524062)------------------------------
% 29.90/5.03 % (524062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.03 % (524062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.03 % (524062)CaDiCaL version: 2.1.3
% 29.90/5.03 % (524062)Termination reason: Instruction limit
% 29.90/5.03 % (524062)Termination phase: Saturation
% 29.90/5.03 % (524062)Time elapsed: 0.117 s
% 29.90/5.03 % (524062)Peak memory usage: 93 MB
% 29.90/5.03 % (524062)Instructions burned: 250 (million)
% 29.90/5.03 % (524059)Instruction limit reached!
% 29.90/5.03 % (524059)------------------------------
% 29.90/5.03 % (524059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.03 % (524059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.03 % (524059)CaDiCaL version: 2.1.3
% 29.90/5.03 % (524059)Termination reason: Instruction limit
% 29.90/5.03 % (524059)Termination phase: Saturation
% 29.90/5.03 % (524059)Time elapsed: 0.165 s
% 29.90/5.03 % (524059)Peak memory usage: 91 MB
% 29.90/5.03 % (524059)Instructions burned: 285 (million)
% 29.90/5.03 % (524067)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=269644122:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 29.90/5.03 % (524061)Instruction limit reached!
% 29.90/5.03 % (524061)------------------------------
% 29.90/5.03 % (524061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.03 % (524061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.03 % (524061)CaDiCaL version: 2.1.3
% 29.90/5.03 % (524061)Termination reason: Instruction limit
% 29.90/5.03 % (524061)Termination phase: Saturation
% 29.90/5.03 % (524061)Time elapsed: 0.192 s
% 29.90/5.03 % (524061)Peak memory usage: 91 MB
% 29.90/5.03 % (524061)Instructions burned: 326 (million)
% 29.90/5.03 % (524068)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3275297894:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 29.90/5.03 % (524069)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2460524886:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 29.90/5.03 % (524071)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3336704212:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 29.90/5.03 % (524069)Instruction limit reached!
% 29.90/5.03 % (524069)------------------------------
% 29.90/5.03 % (524069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.03 % (524069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.03 % (524069)CaDiCaL version: 2.1.3
% 29.90/5.03 % (524069)Termination reason: Instruction limit
% 29.90/5.03 % (524069)Termination phase: Saturation
% 29.90/5.03 % (524069)Time elapsed: 0.066 s
% 29.90/5.03 % (524069)Peak memory usage: 90 MB
% 29.90/5.03 % (524069)Instructions burned: 113 (million)
% 29.90/5.03 % (524067)Instruction limit reached!
% 29.90/5.03 % (524067)------------------------------
% 29.90/5.03 % (524067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.03 % (524067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.03 % (524067)CaDiCaL version: 2.1.3
% 29.90/5.03 % (524067)Termination reason: Instruction limit
% 29.90/5.03 % (524067)Termination phase: Saturation
% 29.90/5.03 % (524067)Time elapsed: 0.156 s
% 29.90/5.03 % (524067)Peak memory usage: 89 MB
% 29.90/5.03 % (524067)Instructions burned: 296 (million)
% 29.90/5.03 % (524071)Instruction limit reached!
% 29.90/5.03 % (524071)------------------------------
% 29.90/5.03 % (524071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.03 % (524071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.03 % (524071)CaDiCaL version: 2.1.3
% 29.90/5.03 % (524071)Termination reason: Instruction limit
% 29.90/5.03 % (524071)Termination phase: Saturation
% 29.90/5.03 % (524071)Time elapsed: 0.062 s
% 29.90/5.03 % (524071)Peak memory usage: 89 MB
% 29.90/5.03 % (524071)Instructions burned: 127 (million)
% 28.60/5.33 % (524076)lrs+10_1_sil=8000:sp=occurrence:random_seed=310272435:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 28.60/5.33 % (524075)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=70011105:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 28.60/5.33 % (524077)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1286838760:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 28.60/5.33 % (524075)Instruction limit reached!
% 28.60/5.33 % (524075)------------------------------
% 28.60/5.33 % (524075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524075)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524075)Termination reason: Instruction limit
% 28.60/5.33 % (524075)Termination phase: Saturation
% 28.60/5.33 % (524075)Time elapsed: 0.059 s
% 28.60/5.33 % (524075)Peak memory usage: 89 MB
% 28.60/5.33 % (524075)Instructions burned: 114 (million)
% 28.60/5.33 % (524081)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3081142617:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 28.60/5.33 % (524077)Instruction limit reached!
% 28.60/5.33 % (524077)------------------------------
% 28.60/5.33 % (524077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524077)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524077)Termination reason: Instruction limit
% 28.60/5.33 % (524077)Termination phase: Saturation
% 28.60/5.33 % (524077)Time elapsed: 0.231 s
% 28.60/5.33 % (524077)Peak memory usage: 91 MB
% 28.60/5.33 % (524077)Instructions burned: 437 (million)
% 28.60/5.33 % (524083)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=23773582:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 28.60/5.33 % (524083)Instruction limit reached!
% 28.60/5.33 % (524083)------------------------------
% 28.60/5.33 % (524083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524083)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524083)Termination reason: Instruction limit
% 28.60/5.33 % (524083)Termination phase: Saturation
% 28.60/5.33 % (524083)Time elapsed: 0.062 s
% 28.60/5.33 % (524083)Peak memory usage: 91 MB
% 28.60/5.33 % (524083)Instructions burned: 135 (million)
% 28.60/5.33 % (524076)Instruction limit reached!
% 28.60/5.33 % (524076)------------------------------
% 28.60/5.33 % (524076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524076)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524076)Termination reason: Instruction limit
% 28.60/5.33 % (524076)Termination phase: Saturation
% 28.60/5.33 % (524076)Time elapsed: 0.503 s
% 28.60/5.33 % (524076)Peak memory usage: 98 MB
% 28.60/5.33 % (524076)Instructions burned: 907 (million)
% 28.60/5.33 % (524085)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2853141899:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 28.60/5.33 % (524086)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2614148845:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 28.60/5.33 % (524085)Instruction limit reached!
% 28.60/5.33 % (524085)------------------------------
% 28.60/5.33 % (524085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524085)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524085)Termination reason: Instruction limit
% 28.60/5.33 % (524085)Termination phase: Saturation
% 28.60/5.33 % (524085)Time elapsed: 0.347 s
% 28.60/5.33 % (524085)Peak memory usage: 94 MB
% 28.60/5.33 % (524085)Instructions burned: 593 (million)
% 28.60/5.33 % (524089)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=312717794:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 28.60/5.33 % (524089)Instruction limit reached!
% 28.60/5.33 % (524089)------------------------------
% 28.60/5.33 % (524089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524089)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524089)Termination reason: Instruction limit
% 28.60/5.33 % (524089)Termination phase: Saturation
% 28.60/5.33 % (524089)Time elapsed: 0.068 s
% 28.60/5.33 % (524089)Peak memory usage: 91 MB
% 28.60/5.33 % (524089)Instructions burned: 126 (million)
% 28.60/5.33 % (524068)Instruction limit reached!
% 28.60/5.33 % (524068)------------------------------
% 28.60/5.33 % (524068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524068)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524068)Termination reason: Instruction limit
% 28.60/5.33 % (524068)Termination phase: Saturation
% 28.60/5.33 % (524068)Time elapsed: 1.471 s
% 28.60/5.33 % (524068)Peak memory usage: 141 MB
% 28.60/5.33 % (524068)Instructions burned: 2350 (million)
% 28.60/5.33 % (524091)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3848020456:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 28.60/5.33 % (524091)Instruction limit reached!
% 28.60/5.33 % (524091)------------------------------
% 28.60/5.33 % (524091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524091)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524091)Termination reason: Instruction limit
% 28.60/5.33 % (524091)Termination phase: Saturation
% 28.60/5.33 % (524091)Time elapsed: 0.072 s
% 28.60/5.33 % (524091)Peak memory usage: 90 MB
% 28.60/5.33 % (524091)Instructions burned: 134 (million)
% 28.60/5.33 % (524092)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4210835551:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 28.60/5.33 % (524092)Instruction limit reached!
% 28.60/5.33 % (524092)------------------------------
% 28.60/5.33 % (524092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524092)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524092)Termination reason: Instruction limit
% 28.60/5.33 % (524092)Termination phase: Saturation
% 28.60/5.33 % (524092)Time elapsed: 0.071 s
% 28.60/5.33 % (524092)Peak memory usage: 91 MB
% 28.60/5.33 % (524092)Instructions burned: 141 (million)
% 28.60/5.33 % (524094)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3448636769:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 28.60/5.33 % (524096)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=1672347056:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 28.60/5.33 % (524094)Instruction limit reached!
% 28.60/5.33 % (524094)------------------------------
% 28.60/5.33 % (524094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524094)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524094)Termination reason: Instruction limit
% 28.60/5.33 % (524094)Termination phase: Saturation
% 28.60/5.33 % (524094)Time elapsed: 0.234 s
% 28.60/5.33 % (524094)Peak memory usage: 96 MB
% 28.60/5.33 % (524094)Instructions burned: 431 (million)
% 28.60/5.33 % (524099)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=1276730687:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 28.60/5.33 % (524099)Instruction limit reached!
% 28.60/5.33 % (524099)------------------------------
% 28.60/5.33 % (524099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524099)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524099)Termination reason: Instruction limit
% 28.60/5.33 % (524099)Termination phase: Saturation
% 28.60/5.33 % (524099)Time elapsed: 0.082 s
% 28.60/5.33 % (524099)Peak memory usage: 91 MB
% 28.60/5.33 % (524099)Instructions burned: 150 (million)
% 28.60/5.33 % (524101)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=95187305:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 28.60/5.33 % (524086)First to succeed.
% 28.60/5.33 % (524086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-524040"
% 28.60/5.33 % (524081)Instruction limit reached!
% 28.60/5.33 % (524081)------------------------------
% 28.60/5.33 % (524081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.60/5.33 % (524081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/5.33 % (524081)CaDiCaL version: 2.1.3
% 28.60/5.33 % (524081)Termination reason: Instruction limit
% 28.60/5.33 % (524081)Termination phase: Saturation
% 28.60/5.33 % (524081)Time elapsed: 3.309 s
% 28.60/5.33 % (524081)Peak memory usage: 154 MB
% 28.60/5.33 % (524081)Instructions burned: 5202 (million)
% 28.60/5.33 % (524086)Refutation found. Thanks to Tanya!
% 28.60/5.33 % SZS status Theorem for theBenchmark
% 28.60/5.33 % SZS output start Proof for theBenchmark
% See solution above
% 32.21/5.52 % (524086)------------------------------
% 32.21/5.52 % (524086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.21/5.52 % (524086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.21/5.52 % (524086)CaDiCaL version: 2.1.3
% 32.21/5.52 % (524086)Termination reason: Refutation
% 32.21/5.52 % (524086)Time elapsed: 2.728 s
% 32.21/5.52 % (524086)Peak memory usage: 160 MB
% 32.21/5.52 % (524086)Instructions burned: 4413 (million)
% 32.21/5.52 % (524086)------------------------------
% 32.21/5.52 % (524086)------------------------------
% 32.21/5.52 % (524040)Success in time 4.464 s
% 32.21/5.52 % Vampire exiting
%------------------------------------------------------------------------------