%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM470+2 : 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 : n015.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 12:15:19 PM UTC 2026
% Result : Theorem 101.42s 15.76s
% Output : Refutation 106.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 31
% Syntax : Number of formulae : 293 ( 49 unt; 11 def)
% Number of atoms : 965 ( 276 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1195 ( 523 ~; 535 |; 93 &)
% ( 23 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 253 ( 0 sgn 237 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(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(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X0) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xl,X0) )
| doDivides0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f37,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xl,X0) )
| doDivides0(xl,xn) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(rectify,[],[f35]) ).
fof(f42,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f47,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f51,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f51]) ).
fof(f56,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f60,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f59]) ).
fof(f67,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f68,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f70,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f72,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f73,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f72]) ).
fof(f76,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f77,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f76]) ).
fof(f80,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(f81,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,[],[f80]) ).
fof(f86,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f87,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f86]) ).
fof(f88,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(f89,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,[],[f88]) ).
fof(f94,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xl,X0) )
& ~ doDivides0(xl,xn) ),
inference(ennf_transformation,[],[f37]) ).
fof(f95,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f68]) ).
fof(f96,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f70]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f98]) ).
fof(f100,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,[],[f87]) ).
fof(f101,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,[],[f100]) ).
fof(f102,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))],[f101]) ).
fof(f103,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,[],[f89]) ).
fof(f104,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,[],[f103]) ).
fof(f105,plain,
( aNaturalNumber0(sK2)
& xm = sdtasdt0(xl,sK2)
& doDivides0(xl,xm)
& aNaturalNumber0(sK3)
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK3)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f40]) ).
fof(f106,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f110,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f111,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f113,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f114,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f115,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f119,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f120,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f121,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f122,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f123,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f124,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f130,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f131,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f132,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f133,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f134,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f135,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f136,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f137,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f139,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f140,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| X0 != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f147,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,[],[f81]) ).
fof(f152,plain,
! [X0,X1] :
( sdtasdt0(X0,sK1(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f153,plain,
! [X0,X1] :
( aNaturalNumber0(sK1(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f157,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,[],[f104]) ).
fof(f160,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f161,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f162,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f163,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f105]) ).
fof(f164,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK3),
inference(cnf_transformation,[],[f105]) ).
fof(f165,plain,
aNaturalNumber0(sK3),
inference(cnf_transformation,[],[f105]) ).
fof(f167,plain,
xm = sdtasdt0(xl,sK2),
inference(cnf_transformation,[],[f105]) ).
fof(f168,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f105]) ).
fof(f169,plain,
~ doDivides0(xl,xn),
inference(cnf_transformation,[],[f94]) ).
fof(f170,plain,
! [X0] :
( xn != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f171,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f132]) ).
fof(f172,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f135]) ).
fof(f173,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f134]) ).
fof(f174,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f133]) ).
fof(f175,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f140]) ).
fof(f178,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f157]) ).
fof(f181,plain,
! [X1] :
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f183,plain,
! [X0] :
( xn != sdtasdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f170,f115]) ).
fof(f184,plain,
( sz00 != xn
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f170,f120]) ).
fof(f188,plain,
! [X0] :
( xn != sdtasdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) ),
inference(duplicate_literal_removal,[],[f183]) ).
fof(f193,plain,
( sz00 != xn
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f184,f106]) ).
fof(f194,plain,
! [X0] :
( xn != sdtasdt0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f188,f162]) ).
fof(f198,plain,
sz00 != xn,
inference(forward_subsumption_resolution,[],[f193,f162]) ).
fof(f200,definition,
( spl4_1
<=> sz00 = xl ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f201,plain,
( sz00 = xl
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f209,plain,
( aNaturalNumber0(sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f109,f164]) ).
fof(f214,plain,
! [X0] :
( sdtasdt0(xl,sK3) != sdtpldt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f124,f164]) ).
fof(f226,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,sK3)) ),
inference(superposition,[],[f171,f164]) ).
fof(f228,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| xn = sdtmndt0(sdtasdt0(xl,sK3),xm)
| ~ aNaturalNumber0(xn)
| ~ sdtlseqdt0(xm,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f172,f164]) ).
fof(f233,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| xn = sdtmndt0(sdtasdt0(xl,sK3),xm)
| ~ sdtlseqdt0(xm,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f228,f160]) ).
fof(f235,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,sK3)) ),
inference(forward_subsumption_resolution,[],[f226,f160]) ).
fof(f247,plain,
! [X0] :
( sdtasdt0(xl,sK3) != sdtpldt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f214,f161]) ).
fof(f252,plain,
( aNaturalNumber0(sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f209,f161]) ).
fof(f255,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| xn = sdtmndt0(sdtasdt0(xl,sK3),xm)
| ~ sdtlseqdt0(xm,sdtasdt0(xl,sK3)) ),
inference(forward_subsumption_resolution,[],[f233,f161]) ).
fof(f257,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(sdtasdt0(xl,sK3)) ),
inference(forward_subsumption_resolution,[],[f235,f161]) ).
fof(f269,plain,
! [X0] :
( sdtasdt0(xl,sK3) != sdtpldt0(xm,X0)
| xn = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f247,f160]) ).
fof(f274,plain,
aNaturalNumber0(sdtasdt0(xl,sK3)),
inference(forward_subsumption_resolution,[],[f252,f160]) ).
fof(f276,definition,
( spl4_3
<=> aNaturalNumber0(sdtasdt0(xl,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f277,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| spl4_3 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,definition,
( spl4_4
<=> xn = sdtmndt0(sdtasdt0(xl,sK3),xm) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f280,plain,
( xn = sdtmndt0(sdtasdt0(xl,sK3),xm)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,definition,
( spl4_5
<=> sdtlseqdt0(xm,sdtasdt0(xl,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f286,plain,
( ~ spl4_5
| spl4_4
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f255,f276,f279,f282]) ).
fof(f287,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,sK3))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f289,plain,
( ~ spl4_3
| spl4_5 ),
inference(avatar_split_clause,[],[f257,f282,f276]) ).
fof(f291,definition,
( spl4_6
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f292,plain,
( sz00 = xm
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f299,plain,
( $false
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f277,f274]) ).
fof(f300,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f313,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,X0) = sdtasdt0(X0,xl) ),
inference(resolution,[],[f162,f115]) ).
fof(f320,plain,
sz00 = sdtasdt0(xl,sz00),
inference(resolution,[],[f162,f120]) ).
fof(f387,plain,
! [X0] :
( aNaturalNumber0(sK1(xl,X0))
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f162,f153]) ).
fof(f479,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) = sdtpldt0(X0,xn) ),
inference(resolution,[],[f160,f111]) ).
fof(f483,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f160,f113]) ).
fof(f502,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(xn,X1)
| xn = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f160,f123]) ).
fof(f826,plain,
( xm = sdtasdt0(sz00,sK2)
| ~ spl4_1 ),
inference(superposition,[],[f167,f201]) ).
fof(f832,plain,
! [X0] :
( sdtasdt0(xl,sdtpldt0(sK2,X0)) = sdtpldt0(xm,sdtasdt0(xl,X0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f122,f167]) ).
fof(f844,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| sz00 = xl
| sK2 = X0
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f147,f167]) ).
fof(f861,plain,
! [X0] :
( sdtasdt0(xl,sdtpldt0(sK2,X0)) = sdtpldt0(xm,sdtasdt0(xl,X0))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f832,f162]) ).
fof(f875,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,sdtpldt0(sK2,X0)) = sdtpldt0(xm,sdtasdt0(xl,X0)) ),
inference(forward_subsumption_resolution,[],[f861,f168]) ).
fof(f993,plain,
sK2 = sdtpldt0(sK2,sz00),
inference(resolution,[],[f168,f114]) ).
fof(f1092,plain,
sdtlseqdt0(sK2,sK2),
inference(resolution,[],[f168,f181]) ).
fof(f1279,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(resolution,[],[f163,f152]) ).
fof(f1280,plain,
( aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(resolution,[],[f163,f153]) ).
fof(f1288,plain,
doDivides0(xl,sdtasdt0(xl,sK3)),
inference(superposition,[],[f163,f164]) ).
fof(f1295,plain,
( aNaturalNumber0(sK1(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f1280,f162]) ).
fof(f1296,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sK1(xl,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f1279,f162]) ).
fof(f1302,plain,
( aNaturalNumber0(sK1(xl,sdtasdt0(xl,sK3)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f1295,f164]) ).
fof(f1303,plain,
( sdtasdt0(xl,sK3) = sdtasdt0(xl,sK1(xl,sdtasdt0(xl,sK3)))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f1296,f164]) ).
fof(f1329,plain,
! [X0] :
( aNaturalNumber0(sdtasdt0(X0,sK3))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f165,f110]) ).
fof(f1781,plain,
( doDivides0(xl,sdtpldt0(sz00,xn))
| ~ spl4_6 ),
inference(superposition,[],[f163,f292]) ).
fof(f1787,plain,
( doDivides0(xl,xn)
| ~ spl4_6 ),
inference(forward_demodulation,[],[f1781,f483]) ).
fof(f1790,plain,
( $false
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f1787,f169]) ).
fof(f1791,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f1790]) ).
fof(f1895,plain,
( xm != sdtasdt0(xl,sK3)
| sz00 = xn
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f269,f114]) ).
fof(f1902,plain,
( xm != sdtasdt0(xl,sK3)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1895,f198]) ).
fof(f1907,plain,
( xm != sdtasdt0(xl,sK3)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1902,f106]) ).
fof(f1912,plain,
xm != sdtasdt0(xl,sK3),
inference(forward_subsumption_resolution,[],[f1907,f161]) ).
fof(f1970,plain,
( sK3 = sdtsldt0(sdtasdt0(xl,sK3),xl)
| ~ aNaturalNumber0(sK3)
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xl) ),
inference(resolution,[],[f274,f178]) ).
fof(f2575,plain,
( sz00 = xm
| ~ aNaturalNumber0(sK2)
| ~ spl4_1 ),
inference(superposition,[],[f119,f826]) ).
fof(f2722,plain,
( sz00 = xm
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f2575,f168]) ).
fof(f2845,plain,
( spl4_6
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f2722,f200,f291]) ).
fof(f2999,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| sz00 = xl
| sK2 = X0
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) ),
inference(forward_subsumption_resolution,[],[f844,f162]) ).
fof(f3035,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| aNaturalNumber0(sK1(xl,sdtasdt0(xl,sK3))) ),
inference(forward_demodulation,[],[f1302,f164]) ).
fof(f3036,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| sdtasdt0(xl,sK3) = sdtasdt0(xl,sK1(xl,sdtasdt0(xl,sK3))) ),
inference(forward_demodulation,[],[f1303,f164]) ).
fof(f3044,plain,
( sK3 = sdtsldt0(sdtasdt0(xl,sK3),xl)
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f1970,f165]) ).
fof(f3060,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| sz00 = xl
| sK2 = X0
| ~ sdtlseqdt0(X0,sK2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2999,f168]) ).
fof(f3071,plain,
aNaturalNumber0(sK1(xl,sdtasdt0(xl,sK3))),
inference(forward_subsumption_resolution,[],[f3035,f274]) ).
fof(f3072,plain,
sdtasdt0(xl,sK3) = sdtasdt0(xl,sK1(xl,sdtasdt0(xl,sK3))),
inference(forward_subsumption_resolution,[],[f3036,f274]) ).
fof(f3080,plain,
( sK3 = sdtsldt0(sdtasdt0(xl,sK3),xl)
| sz00 = xl
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f3044,f1288]) ).
fof(f3102,definition,
( spl4_99
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| sK2 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl4_99])],[avatar_definition]) ).
fof(f3103,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sK2)
| sK2 = X0 )
| ~ spl4_99 ),
inference(avatar_component_clause,[],[f3102]) ).
fof(f3104,plain,
( spl4_1
| spl4_99 ),
inference(avatar_split_clause,[],[f3060,f3102,f200]) ).
fof(f3130,plain,
( sK3 = sdtsldt0(sdtasdt0(xl,sK3),xl)
| sz00 = xl ),
inference(forward_subsumption_resolution,[],[f3080,f162]) ).
fof(f3143,definition,
( spl4_105
<=> sK3 = sdtsldt0(sdtasdt0(xl,sK3),xl) ),
introduced(definition,[new_symbols(definition,[spl4_105])],[avatar_definition]) ).
fof(f3144,plain,
( sK3 = sdtsldt0(sdtasdt0(xl,sK3),xl)
| ~ spl4_105 ),
inference(avatar_component_clause,[],[f3143]) ).
fof(f3145,plain,
( spl4_1
| spl4_105 ),
inference(avatar_split_clause,[],[f3130,f3143,f200]) ).
fof(f3210,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| sK1(xl,sdtasdt0(xl,sK3)) = sdtsldt0(sdtasdt0(xl,sK3),xl)
| ~ aNaturalNumber0(sK1(xl,sdtasdt0(xl,sK3)))
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f178,f3072]) ).
fof(f3215,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| sK1(xl,sdtasdt0(xl,sK3)) = sdtsldt0(sdtasdt0(xl,sK3),xl)
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f3210,f387]) ).
fof(f3236,plain,
( sK1(xl,sdtasdt0(xl,sK3)) = sdtsldt0(sdtasdt0(xl,sK3),xl)
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f3215,f1329]) ).
fof(f3256,plain,
( sK1(xl,sdtasdt0(xl,sK3)) = sdtsldt0(sdtasdt0(xl,sK3),xl)
| sz00 = xl
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f3236,f1288]) ).
fof(f3304,plain,
( sK1(xl,sdtasdt0(xl,sK3)) = sdtsldt0(sdtasdt0(xl,sK3),xl)
| sz00 = xl ),
inference(forward_subsumption_resolution,[],[f3256,f162]) ).
fof(f3307,plain,
( sK3 = sK1(xl,sdtasdt0(xl,sK3))
| sz00 = xl
| ~ spl4_105 ),
inference(forward_demodulation,[],[f3304,f3144]) ).
fof(f3309,definition,
( spl4_120
<=> sK3 = sK1(xl,sdtasdt0(xl,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_120])],[avatar_definition]) ).
fof(f3310,plain,
( sK3 = sK1(xl,sdtasdt0(xl,sK3))
| ~ spl4_120 ),
inference(avatar_component_clause,[],[f3309]) ).
fof(f3313,plain,
( spl4_1
| spl4_120
| ~ spl4_105 ),
inference(avatar_split_clause,[],[f3307,f3143,f3309,f200]) ).
fof(f7267,plain,
( xm = sdtasdt0(xl,sK3)
| ~ sdtlseqdt0(sdtasdt0(xl,sK3),xm)
| ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xm)
| ~ spl4_5 ),
inference(resolution,[],[f287,f137]) ).
fof(f7288,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,sK3),xm)
| ~ aNaturalNumber0(sdtasdt0(xl,sK3))
| ~ aNaturalNumber0(xm)
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f7267,f1912]) ).
fof(f7300,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,sK3),xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f7288,f274]) ).
fof(f7310,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,sK3),xm)
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f7300,f161]) ).
fof(f8793,plain,
sdtasdt0(xl,sK2) = sdtasdt0(sK2,xl),
inference(resolution,[],[f313,f168]) ).
fof(f8794,plain,
sdtasdt0(xl,sK3) = sdtasdt0(sK3,xl),
inference(resolution,[],[f313,f165]) ).
fof(f8795,plain,
xm = sdtasdt0(sK2,xl),
inference(forward_demodulation,[],[f8793,f167]) ).
fof(f9048,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(resolution,[],[f479,f161]) ).
fof(f9058,plain,
sdtasdt0(xl,sK3) = sdtpldt0(xn,xm),
inference(forward_demodulation,[],[f9048,f164]) ).
fof(f13815,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) != sdtpldt0(xn,sdtasdt0(X1,X2))
| sdtasdt0(X0,X2) = xn
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(superposition,[],[f502,f121]) ).
fof(f13837,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) != sdtpldt0(xn,sdtasdt0(X1,X2))
| sdtasdt0(X0,X2) = xn
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f13815,f110]) ).
fof(f13845,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) != sdtpldt0(xn,sdtasdt0(X1,X2))
| sdtasdt0(X0,X2) = xn
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f13837,f110]) ).
fof(f21814,plain,
( aNaturalNumber0(sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK2) ),
inference(resolution,[],[f1092,f173]) ).
fof(f21815,plain,
( sK2 = sdtpldt0(sK2,sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK2) ),
inference(resolution,[],[f1092,f174]) ).
fof(f21816,plain,
( sK2 = sdtpldt0(sK2,sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sK2) ),
inference(duplicate_literal_removal,[],[f21815]) ).
fof(f21817,plain,
( aNaturalNumber0(sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sK2) ),
inference(duplicate_literal_removal,[],[f21814]) ).
fof(f21832,plain,
sK2 = sdtpldt0(sK2,sdtmndt0(sK2,sK2)),
inference(forward_subsumption_resolution,[],[f21816,f168]) ).
fof(f21833,plain,
aNaturalNumber0(sdtmndt0(sK2,sK2)),
inference(forward_subsumption_resolution,[],[f21817,f168]) ).
fof(f21959,plain,
sdtasdt0(xl,sdtpldt0(sK2,sdtmndt0(sK2,sK2))) = sdtpldt0(xm,sdtasdt0(xl,sdtmndt0(sK2,sK2))),
inference(resolution,[],[f21833,f875]) ).
fof(f21977,plain,
sdtasdt0(xl,sK2) = sdtpldt0(xm,sdtasdt0(xl,sdtmndt0(sK2,sK2))),
inference(forward_demodulation,[],[f21959,f21832]) ).
fof(f21985,definition,
( spl4_985
<=> sz00 = sdtmndt0(sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_985])],[avatar_definition]) ).
fof(f21986,plain,
( sz00 = sdtmndt0(sK2,sK2)
| ~ spl4_985 ),
inference(avatar_component_clause,[],[f21985]) ).
fof(f22053,plain,
xm = sdtpldt0(xm,sdtasdt0(xl,sdtmndt0(sK2,sK2))),
inference(forward_demodulation,[],[f21977,f167]) ).
fof(f22307,plain,
( ~ sdtlseqdt0(xm,xm)
| sdtmndt0(xm,xm) = sdtasdt0(xl,sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sK2,sK2)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f172,f22053]) ).
fof(f22308,plain,
( ~ sdtlseqdt0(xm,xm)
| sdtmndt0(xm,xm) = sdtasdt0(xl,sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sK2,sK2)))
| ~ aNaturalNumber0(xm) ),
inference(duplicate_literal_removal,[],[f22307]) ).
fof(f22313,plain,
( sdtmndt0(xm,xm) = sdtasdt0(xl,sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sK2,sK2)))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f22308,f136]) ).
fof(f22330,plain,
( sdtmndt0(xm,xm) = sdtasdt0(xl,sdtmndt0(sK2,sK2))
| ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sK2,sK2))) ),
inference(forward_subsumption_resolution,[],[f22313,f161]) ).
fof(f22347,plain,
( sdtasdt0(xl,sz00) = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sK2,sK2)))
| ~ spl4_985 ),
inference(forward_demodulation,[],[f22330,f21986]) ).
fof(f22364,plain,
( sz00 = sdtmndt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xl,sdtmndt0(sK2,sK2)))
| ~ spl4_985 ),
inference(forward_demodulation,[],[f22347,f320]) ).
fof(f22381,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sz00))
| sz00 = sdtmndt0(xm,xm)
| ~ spl4_985 ),
inference(forward_demodulation,[],[f22364,f21986]) ).
fof(f22398,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtmndt0(xm,xm)
| ~ spl4_985 ),
inference(forward_demodulation,[],[f22381,f320]) ).
fof(f22415,plain,
( sz00 = sdtmndt0(xm,xm)
| ~ spl4_985 ),
inference(forward_subsumption_resolution,[],[f22398,f106]) ).
fof(f26246,plain,
! [X0] :
( sdtpldt0(xn,xm) != sdtasdt0(sdtpldt0(X0,sK2),xl)
| xn = sdtasdt0(X0,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f13845,f8795]) ).
fof(f26268,plain,
! [X0] :
( sdtpldt0(xn,xm) != sdtasdt0(sdtpldt0(X0,sK2),xl)
| xn = sdtasdt0(X0,xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) ),
inference(forward_subsumption_resolution,[],[f26246,f162]) ).
fof(f26325,plain,
! [X0] :
( sdtpldt0(xn,xm) != sdtasdt0(sdtpldt0(X0,sK2),xl)
| xn = sdtasdt0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f26268,f168]) ).
fof(f26382,plain,
! [X0] :
( sdtpldt0(xn,xm) != sdtasdt0(sdtpldt0(X0,sK2),xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f26325,f194]) ).
fof(f26435,plain,
! [X0] :
( sdtasdt0(xl,sK3) != sdtasdt0(sdtpldt0(X0,sK2),xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_demodulation,[],[f26382,f9058]) ).
fof(f26719,plain,
( sdtlseqdt0(sdtasdt0(xl,sK3),xm)
| ~ aNaturalNumber0(sK1(xl,sdtasdt0(xl,sK3)))
| ~ sdtlseqdt0(sK1(xl,sdtasdt0(xl,sK3)),sK2)
| sK2 = sK1(xl,sdtasdt0(xl,sK3))
| ~ spl4_99 ),
inference(superposition,[],[f3103,f3072]) ).
fof(f26731,plain,
( ~ aNaturalNumber0(sK1(xl,sdtasdt0(xl,sK3)))
| ~ sdtlseqdt0(sK1(xl,sdtasdt0(xl,sK3)),sK2)
| sK2 = sK1(xl,sdtasdt0(xl,sK3))
| ~ spl4_5
| ~ spl4_99 ),
inference(forward_subsumption_resolution,[],[f26719,f7310]) ).
fof(f26785,plain,
( ~ sdtlseqdt0(sK1(xl,sdtasdt0(xl,sK3)),sK2)
| sK2 = sK1(xl,sdtasdt0(xl,sK3))
| ~ spl4_5
| ~ spl4_99 ),
inference(forward_subsumption_resolution,[],[f26731,f3071]) ).
fof(f26813,plain,
( ~ sdtlseqdt0(sK3,sK2)
| sK2 = sK1(xl,sdtasdt0(xl,sK3))
| ~ spl4_5
| ~ spl4_99
| ~ spl4_120 ),
inference(forward_demodulation,[],[f26785,f3310]) ).
fof(f26830,plain,
( sK2 = sK3
| ~ sdtlseqdt0(sK3,sK2)
| ~ spl4_5
| ~ spl4_99
| ~ spl4_120 ),
inference(forward_demodulation,[],[f26813,f3310]) ).
fof(f26835,definition,
( spl4_1141
<=> sdtlseqdt0(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_1141])],[avatar_definition]) ).
fof(f26836,plain,
( ~ sdtlseqdt0(sK3,sK2)
| spl4_1141 ),
inference(avatar_component_clause,[],[f26835]) ).
fof(f26838,definition,
( spl4_1142
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl4_1142])],[avatar_definition]) ).
fof(f26839,plain,
( sK2 = sK3
| ~ spl4_1142 ),
inference(avatar_component_clause,[],[f26838]) ).
fof(f26840,plain,
( ~ spl4_1141
| spl4_1142
| ~ spl4_5
| ~ spl4_99
| ~ spl4_120 ),
inference(avatar_split_clause,[],[f26830,f3309,f3102,f282,f26838,f26835]) ).
fof(f26854,plain,
( sdtlseqdt0(sK2,sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sK2)
| spl4_1141 ),
inference(resolution,[],[f26836,f139]) ).
fof(f26857,plain,
( sdtlseqdt0(sK2,sK3)
| ~ aNaturalNumber0(sK2)
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f26854,f165]) ).
fof(f26860,plain,
( sdtlseqdt0(sK2,sK3)
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f26857,f168]) ).
fof(f27144,plain,
( xn = sdtmndt0(sdtasdt0(xl,sK2),xm)
| ~ spl4_4
| ~ spl4_1142 ),
inference(superposition,[],[f280,f26839]) ).
fof(f27214,plain,
( xn = sdtmndt0(xm,xm)
| ~ spl4_4
| ~ spl4_1142 ),
inference(forward_demodulation,[],[f27144,f167]) ).
fof(f27228,plain,
( sz00 = xn
| ~ spl4_4
| ~ spl4_985
| ~ spl4_1142 ),
inference(forward_demodulation,[],[f27214,f22415]) ).
fof(f27234,plain,
( $false
| ~ spl4_4
| ~ spl4_985
| ~ spl4_1142 ),
inference(forward_subsumption_resolution,[],[f27228,f198]) ).
fof(f27235,plain,
( ~ spl4_4
| ~ spl4_985
| ~ spl4_1142 ),
inference(avatar_contradiction_clause,[],[f27234]) ).
fof(f27384,plain,
( sK3 = sdtpldt0(sK2,sK0(sK2,sK3))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3)
| spl4_1141 ),
inference(resolution,[],[f26860,f130]) ).
fof(f27385,plain,
( aNaturalNumber0(sK0(sK2,sK3))
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK3)
| spl4_1141 ),
inference(resolution,[],[f26860,f131]) ).
fof(f27404,plain,
( aNaturalNumber0(sK0(sK2,sK3))
| ~ aNaturalNumber0(sK3)
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f27385,f168]) ).
fof(f27405,plain,
( sK3 = sdtpldt0(sK2,sK0(sK2,sK3))
| ~ aNaturalNumber0(sK3)
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f27384,f168]) ).
fof(f27410,plain,
( aNaturalNumber0(sK0(sK2,sK3))
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f27404,f165]) ).
fof(f27411,plain,
( sK3 = sdtpldt0(sK2,sK0(sK2,sK3))
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f27405,f165]) ).
fof(f36732,plain,
( ~ sdtlseqdt0(sK2,sK2)
| sz00 = sdtmndt0(sK2,sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f172,f993]) ).
fof(f36739,plain,
( ~ sdtlseqdt0(sK2,sK2)
| sz00 = sdtmndt0(sK2,sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2) ),
inference(duplicate_literal_removal,[],[f36732]) ).
fof(f36748,plain,
( sz00 = sdtmndt0(sK2,sK2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK2) ),
inference(forward_subsumption_resolution,[],[f36739,f136]) ).
fof(f36769,plain,
( sz00 = sdtmndt0(sK2,sK2)
| ~ aNaturalNumber0(sK2) ),
inference(forward_subsumption_resolution,[],[f36748,f106]) ).
fof(f36790,plain,
sz00 = sdtmndt0(sK2,sK2),
inference(forward_subsumption_resolution,[],[f36769,f168]) ).
fof(f36794,plain,
spl4_985,
inference(avatar_split_clause,[],[f36790,f21985]) ).
fof(f41217,plain,
! [X0] :
( sdtasdt0(xl,sK3) != sdtasdt0(sdtpldt0(sK2,X0),xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f26435,f111]) ).
fof(f41223,plain,
! [X0] :
( sdtasdt0(xl,sK3) != sdtasdt0(sdtpldt0(sK2,X0),xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2) ),
inference(duplicate_literal_removal,[],[f41217]) ).
fof(f41230,plain,
! [X0] :
( sdtasdt0(xl,sK3) != sdtasdt0(sdtpldt0(sK2,X0),xl)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f41223,f168]) ).
fof(f41239,plain,
( sdtasdt0(xl,sK3) != sdtasdt0(sK3,xl)
| ~ aNaturalNumber0(sK0(sK2,sK3))
| spl4_1141 ),
inference(superposition,[],[f41230,f27411]) ).
fof(f41256,plain,
( ~ aNaturalNumber0(sK0(sK2,sK3))
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f41239,f8794]) ).
fof(f41263,plain,
( $false
| spl4_1141 ),
inference(forward_subsumption_resolution,[],[f41256,f27410]) ).
fof(f41264,plain,
spl4_1141,
inference(avatar_contradiction_clause,[],[f41263]) ).
cnf(s4,plain,
( ~ spl4_3
| spl4_4
| ~ spl4_5 ),
inference(sat_conversion,[],[f286]) ).
cnf(s6,plain,
( ~ spl4_3
| spl4_5 ),
inference(sat_conversion,[],[f289]) ).
cnf(s9,plain,
spl4_3,
inference(sat_conversion,[],[f300]) ).
cnf(s73,plain,
~ spl4_6,
inference(sat_conversion,[],[f1791]) ).
cnf(s92,plain,
( ~ spl4_1
| spl4_6 ),
inference(sat_conversion,[],[f2845]) ).
cnf(s106,plain,
( spl4_1
| spl4_99 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s116,plain,
( spl4_1
| spl4_105 ),
inference(sat_conversion,[],[f3145]) ).
cnf(s136,plain,
( spl4_1
| ~ spl4_105
| spl4_120 ),
inference(sat_conversion,[],[f3313]) ).
cnf(s1292,plain,
( ~ spl4_5
| ~ spl4_99
| ~ spl4_120
| ~ spl4_1141
| spl4_1142 ),
inference(sat_conversion,[],[f26840]) ).
cnf(s1313,plain,
( ~ spl4_4
| ~ spl4_985
| ~ spl4_1142 ),
inference(sat_conversion,[],[f27235]) ).
cnf(s1575,plain,
spl4_985,
inference(sat_conversion,[],[f36794]) ).
cnf(s1651,plain,
spl4_1141,
inference(sat_conversion,[],[f41264]) ).
cnf(s1665,plain,
( ~ spl4_4
| ~ spl4_1142 ),
inference(rat,[],[s1313,s1575]) ).
cnf(s1666,plain,
( ~ spl4_5
| ~ spl4_99
| ~ spl4_120
| spl4_1142 ),
inference(rat,[],[s1292,s1651]) ).
cnf(s2057,plain,
~ spl4_1,
inference(rat,[],[s92,s73]) ).
cnf(s2226,plain,
spl4_105,
inference(rat,[],[s116,s2057]) ).
cnf(s2232,plain,
spl4_99,
inference(rat,[],[s106,s2057]) ).
cnf(s2268,plain,
spl4_120,
inference(rat,[],[s136,s2057,s2226]) ).
cnf(s2528,plain,
spl4_5,
inference(rat,[],[s6,s9]) ).
cnf(s2529,plain,
spl4_1142,
inference(rat,[],[s1666,s2232,s2268,s2528]) ).
cnf(s2531,plain,
~ spl4_4,
inference(rat,[],[s1665,s2529]) ).
cnf(s2532,plain,
$false,
inference(rat,[],[s4,s2528,s2531,s9]) ).
fof(f41266,plain,
$false,
inference(avatar_sat_refutation,[],[s2532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM470+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:07:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.42 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
% 13.43/2.80 % (1980233)Detected formulas, will run a generic FOF schedule.
% 13.43/2.80 % (1980238)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=1039544431:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.43/2.80 % (1980240)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=1222637645:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.43/2.80 % (1980239)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=1508397008:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.43/2.80 % (1980242)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=330684328:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.43/2.80 % (1980241)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4024758936:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.43/2.80 % (1980244)dis-21_1_sil=8000:lcm=predicate:random_seed=434935941: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)
% 13.43/2.80 % (1980243)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=450107039:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.43/2.80 % (1980242)Instruction limit reached!
% 13.43/2.80 % (1980242)------------------------------
% 13.43/2.80 % (1980242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.80 % (1980242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.80 % (1980242)CaDiCaL version: 2.1.3
% 13.43/2.80 % (1980242)Termination reason: Instruction limit
% 13.43/2.80 % (1980242)Termination phase: Saturation
% 13.43/2.80 % (1980242)Time elapsed: 0.068 s
% 13.43/2.80 % (1980242)Peak memory usage: 88 MB
% 13.43/2.80 % (1980242)Instructions burned: 120 (million)
% 13.43/2.80 % (1980241)Instruction limit reached!
% 13.43/2.80 % (1980241)------------------------------
% 13.43/2.80 % (1980241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.80 % (1980241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.80 % (1980241)CaDiCaL version: 2.1.3
% 13.43/2.80 % (1980241)Termination reason: Instruction limit
% 13.43/2.80 % (1980241)Termination phase: Saturation
% 13.43/2.80 % (1980241)Time elapsed: 0.070 s
% 13.43/2.80 % (1980241)Peak memory usage: 89 MB
% 13.43/2.80 % (1980241)Instructions burned: 110 (million)
% 13.43/2.80 % (1980244)Instruction limit reached!
% 13.43/2.80 % (1980244)------------------------------
% 13.43/2.80 % (1980244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.80 % (1980244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.80 % (1980244)CaDiCaL version: 2.1.3
% 13.43/2.80 % (1980244)Termination reason: Instruction limit
% 13.43/2.80 % (1980244)Termination phase: Saturation
% 13.43/2.80 % (1980244)Time elapsed: 0.081 s
% 13.43/2.80 % (1980244)Peak memory usage: 90 MB
% 13.43/2.80 % (1980244)Instructions burned: 130 (million)
% 13.43/2.80 % (1980243)Instruction limit reached!
% 13.43/2.80 % (1980243)------------------------------
% 13.43/2.80 % (1980243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.80 % (1980243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.80 % (1980243)CaDiCaL version: 2.1.3
% 13.43/2.80 % (1980243)Termination reason: Instruction limit
% 13.43/2.80 % (1980243)Termination phase: Saturation
% 13.43/2.80 % (1980243)Time elapsed: 0.090 s
% 13.43/2.80 % (1980243)Peak memory usage: 90 MB
% 13.43/2.80 % (1980243)Instructions burned: 139 (million)
% 13.43/2.80 % (1980253)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3043925161:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.43/2.80 % (1980252)lrs+10_1_sil=8000:sp=occurrence:random_seed=367405309:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.43/2.80 % (1980254)lrs+1011_1_sil=32000:sp=occurrence:random_seed=888025894:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.43/2.80 % (1980255)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=1492707225:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.43/2.80 % (1980253)Instruction limit reached!
% 19.13/3.60 % (1980253)------------------------------
% 19.13/3.60 % (1980253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/3.60 % (1980253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/3.60 % (1980253)CaDiCaL version: 2.1.3
% 19.13/3.60 % (1980253)Termination reason: Instruction limit
% 19.13/3.60 % (1980253)Termination phase: Saturation
% 19.13/3.60 % (1980253)Time elapsed: 0.071 s
% 19.13/3.60 % (1980253)Peak memory usage: 90 MB
% 19.13/3.60 % (1980253)Instructions burned: 158 (million)
% 19.13/3.60 % (1980255)Instruction limit reached!
% 19.13/3.60 % (1980255)------------------------------
% 19.13/3.60 % (1980255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/3.60 % (1980255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/3.60 % (1980255)CaDiCaL version: 2.1.3
% 19.13/3.60 % (1980255)Termination reason: Instruction limit
% 19.13/3.60 % (1980255)Termination phase: Saturation
% 19.13/3.60 % (1980255)Time elapsed: 0.112 s
% 19.13/3.60 % (1980255)Peak memory usage: 94 MB
% 19.13/3.60 % (1980255)Instructions burned: 249 (million)
% 19.13/3.60 % (1980252)Instruction limit reached!
% 19.13/3.60 % (1980252)------------------------------
% 19.13/3.60 % (1980252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/3.60 % (1980252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/3.60 % (1980252)CaDiCaL version: 2.1.3
% 19.13/3.60 % (1980252)Termination reason: Instruction limit
% 19.13/3.60 % (1980252)Termination phase: Saturation
% 19.13/3.60 % (1980252)Time elapsed: 0.166 s
% 19.13/3.60 % (1980252)Peak memory usage: 92 MB
% 19.13/3.60 % (1980252)Instructions burned: 285 (million)
% 19.13/3.60 % (1980254)Instruction limit reached!
% 19.13/3.60 % (1980254)------------------------------
% 19.13/3.60 % (1980254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/3.60 % (1980254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/3.60 % (1980254)CaDiCaL version: 2.1.3
% 19.13/3.60 % (1980254)Termination reason: Instruction limit
% 19.13/3.60 % (1980254)Termination phase: Saturation
% 19.13/3.60 % (1980254)Time elapsed: 0.192 s
% 19.13/3.60 % (1980254)Peak memory usage: 92 MB
% 19.13/3.60 % (1980254)Instructions burned: 327 (million)
% 19.13/3.60 % (1980260)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2558765377:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.13/3.60 % (1980261)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=112101043:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 19.13/3.60 % (1980262)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2430003244:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.13/3.60 % (1980264)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1049648894:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 19.13/3.60 % (1980260)Instruction limit reached!
% 19.13/3.60 % (1980260)------------------------------
% 19.13/3.60 % (1980260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/3.60 % (1980260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/3.60 % (1980260)CaDiCaL version: 2.1.3
% 19.13/3.60 % (1980260)Termination reason: Instruction limit
% 19.13/3.60 % (1980260)Termination phase: Saturation
% 19.13/3.60 % (1980260)Time elapsed: 0.161 s
% 19.13/3.60 % (1980260)Peak memory usage: 89 MB
% 19.13/3.60 % (1980260)Instructions burned: 294 (million)
% 19.13/3.60 % (1980262)Instruction limit reached!
% 19.13/3.60 % (1980262)------------------------------
% 19.13/3.60 % (1980262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/3.60 % (1980262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/3.60 % (1980262)CaDiCaL version: 2.1.3
% 19.13/3.60 % (1980262)Termination reason: Instruction limit
% 19.13/3.60 % (1980262)Termination phase: Saturation
% 19.13/3.60 % (1980262)Time elapsed: 0.069 s
% 19.13/3.60 % (1980262)Peak memory usage: 91 MB
% 19.13/3.60 % (1980262)Instructions burned: 114 (million)
% 19.13/3.60 % (1980264)Instruction limit reached!
% 19.13/3.60 % (1980264)------------------------------
% 19.13/3.60 % (1980264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.13/3.60 % (1980264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.13/3.60 % (1980264)CaDiCaL version: 2.1.3
% 19.13/3.60 % (1980264)Termination reason: Instruction limit
% 19.13/3.60 % (1980264)Termination phase: Saturation
% 55.32/8.69 % (1980264)Time elapsed: 0.065 s
% 55.32/8.69 % (1980264)Peak memory usage: 89 MB
% 55.32/8.69 % (1980264)Instructions burned: 129 (million)
% 55.32/8.69 % (1980268)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1345108809:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 55.32/8.69 % (1980269)lrs+10_1_sil=8000:sp=occurrence:random_seed=2526798880:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 55.32/8.69 % (1980270)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2002883846:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 55.32/8.69 % (1980268)Instruction limit reached!
% 55.32/8.69 % (1980268)------------------------------
% 55.32/8.69 % (1980268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.32/8.69 % (1980268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.32/8.69 % (1980268)CaDiCaL version: 2.1.3
% 55.32/8.69 % (1980268)Termination reason: Instruction limit
% 55.32/8.69 % (1980268)Termination phase: Saturation
% 55.32/8.69 % (1980268)Time elapsed: 0.061 s
% 55.32/8.69 % (1980268)Peak memory usage: 89 MB
% 55.32/8.69 % (1980268)Instructions burned: 114 (million)
% 55.32/8.69 % (1980274)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1956569160:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 55.32/8.69 % (1980270)Instruction limit reached!
% 55.32/8.69 % (1980270)------------------------------
% 55.32/8.69 % (1980270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.32/8.69 % (1980270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.32/8.69 % (1980270)CaDiCaL version: 2.1.3
% 55.32/8.69 % (1980270)Termination reason: Instruction limit
% 55.32/8.69 % (1980270)Termination phase: Saturation
% 55.32/8.69 % (1980270)Time elapsed: 0.259 s
% 55.32/8.69 % (1980270)Peak memory usage: 93 MB
% 55.32/8.69 % (1980270)Instructions burned: 438 (million)
% 55.32/8.69 % (1980276)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1341520910:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 55.32/8.69 % (1980276)Instruction limit reached!
% 55.32/8.69 % (1980276)------------------------------
% 55.32/8.69 % (1980276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.32/8.69 % (1980276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.32/8.69 % (1980276)CaDiCaL version: 2.1.3
% 55.32/8.69 % (1980276)Termination reason: Instruction limit
% 55.32/8.69 % (1980276)Termination phase: Saturation
% 55.32/8.69 % (1980276)Time elapsed: 0.063 s
% 55.32/8.69 % (1980276)Peak memory usage: 91 MB
% 55.32/8.69 % (1980276)Instructions burned: 135 (million)
% 55.32/8.69 % (1980269)Instruction limit reached!
% 55.32/8.69 % (1980269)------------------------------
% 55.32/8.69 % (1980269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.32/8.69 % (1980269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.32/8.69 % (1980269)CaDiCaL version: 2.1.3
% 55.32/8.69 % (1980269)Termination reason: Instruction limit
% 55.32/8.69 % (1980269)Termination phase: Saturation
% 55.32/8.69 % (1980269)Time elapsed: 0.498 s
% 55.32/8.69 % (1980269)Peak memory usage: 98 MB
% 55.32/8.69 % (1980269)Instructions burned: 907 (million)
% 55.32/8.69 % (1980278)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2041999287:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 55.32/8.69 % (1980279)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1414696164:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 55.32/8.69 % (1980278)Instruction limit reached!
% 55.32/8.69 % (1980278)------------------------------
% 55.32/8.69 % (1980278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.32/8.69 % (1980278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.32/8.69 % (1980278)CaDiCaL version: 2.1.3
% 55.32/8.69 % (1980278)Termination reason: Instruction limit
% 55.32/8.69 % (1980278)Termination phase: Saturation
% 55.32/8.69 % (1980278)Time elapsed: 0.378 s
% 55.32/8.69 % (1980278)Peak memory usage: 97 MB
% 55.32/8.69 % (1980278)Instructions burned: 593 (million)
% 55.32/8.69 % (1980282)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=2499666079:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 81.59/12.31 % (1980282)Instruction limit reached!
% 81.59/12.31 % (1980282)------------------------------
% 81.59/12.31 % (1980282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.59/12.31 % (1980282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.59/12.31 % (1980282)CaDiCaL version: 2.1.3
% 81.59/12.31 % (1980282)Termination reason: Instruction limit
% 81.59/12.31 % (1980282)Termination phase: Saturation
% 81.59/12.31 % (1980282)Time elapsed: 0.070 s
% 81.59/12.31 % (1980282)Peak memory usage: 91 MB
% 81.59/12.31 % (1980282)Instructions burned: 126 (million)
% 81.59/12.31 % (1980261)Instruction limit reached!
% 81.59/12.31 % (1980261)------------------------------
% 81.59/12.31 % (1980261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.59/12.31 % (1980261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.59/12.31 % (1980261)CaDiCaL version: 2.1.3
% 81.59/12.31 % (1980261)Termination reason: Instruction limit
% 81.59/12.31 % (1980261)Termination phase: Saturation
% 81.59/12.31 % (1980261)Time elapsed: 1.429 s
% 81.59/12.31 % (1980261)Peak memory usage: 143 MB
% 81.59/12.31 % (1980261)Instructions burned: 2350 (million)
% 81.59/12.31 % (1980284)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3325293070:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 81.59/12.31 % (1980285)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2781567140:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 81.59/12.31 % (1980284)Instruction limit reached!
% 81.59/12.31 % (1980284)------------------------------
% 81.59/12.31 % (1980284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.59/12.31 % (1980284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.59/12.31 % (1980284)CaDiCaL version: 2.1.3
% 81.59/12.31 % (1980284)Termination reason: Instruction limit
% 81.59/12.31 % (1980284)Termination phase: Saturation
% 81.59/12.31 % (1980284)Time elapsed: 0.079 s
% 81.59/12.31 % (1980284)Peak memory usage: 91 MB
% 81.59/12.31 % (1980284)Instructions burned: 136 (million)
% 81.59/12.31 % (1980285)Instruction limit reached!
% 81.59/12.31 % (1980285)------------------------------
% 81.59/12.31 % (1980285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.59/12.31 % (1980285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.59/12.31 % (1980285)CaDiCaL version: 2.1.3
% 81.59/12.31 % (1980285)Termination reason: Instruction limit
% 81.59/12.31 % (1980285)Termination phase: Saturation
% 81.59/12.31 % (1980285)Time elapsed: 0.074 s
% 81.59/12.31 % (1980285)Peak memory usage: 91 MB
% 81.59/12.31 % (1980285)Instructions burned: 143 (million)
% 81.59/12.31 % (1980288)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1137200423:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 81.59/12.31 % (1980289)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=1816453857:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 81.59/12.31 % (1980288)Instruction limit reached!
% 81.59/12.31 % (1980288)------------------------------
% 81.59/12.31 % (1980288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.59/12.31 % (1980288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.59/12.31 % (1980288)CaDiCaL version: 2.1.3
% 81.59/12.31 % (1980288)Termination reason: Instruction limit
% 81.59/12.31 % (1980288)Termination phase: Saturation
% 81.59/12.31 % (1980288)Time elapsed: 0.188 s
% 81.59/12.31 % (1980288)Peak memory usage: 97 MB
% 81.59/12.31 % (1980288)Instructions burned: 433 (million)
% 81.59/12.31 % (1980292)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=3568691484:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 81.59/12.31 % (1980292)Instruction limit reached!
% 81.59/12.31 % (1980292)------------------------------
% 81.59/12.31 % (1980292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.59/12.31 % (1980292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.59/12.31 % (1980292)CaDiCaL version: 2.1.3
% 81.59/12.31 % (1980292)Termination reason: Instruction limit
% 81.59/12.31 % (1980292)Termination phase: Saturation
% 81.59/12.31 % (1980292)Time elapsed: 0.075 s
% 81.59/12.31 % (1980292)Peak memory usage: 93 MB
% 101.42/15.76 % (1980292)Instructions burned: 151 (million)
% 101.42/15.76 % (1980294)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2054067611:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 101.42/15.76 % (1980274)Instruction limit reached!
% 101.42/15.76 % (1980274)------------------------------
% 101.42/15.76 % (1980274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980274)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980274)Termination reason: Instruction limit
% 101.42/15.76 % (1980274)Termination phase: Saturation
% 101.42/15.76 % (1980274)Time elapsed: 3.152 s
% 101.42/15.76 % (1980274)Peak memory usage: 162 MB
% 101.42/15.76 % (1980274)Instructions burned: 5202 (million)
% 101.42/15.76 % (1980296)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2051611937:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 101.42/15.76 % (1980296)Instruction limit reached!
% 101.42/15.76 % (1980296)------------------------------
% 101.42/15.76 % (1980296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980296)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980296)Termination reason: Instruction limit
% 101.42/15.76 % (1980296)Termination phase: Saturation
% 101.42/15.76 % (1980296)Time elapsed: 0.359 s
% 101.42/15.76 % (1980296)Peak memory usage: 111 MB
% 101.42/15.76 % (1980296)Instructions burned: 667 (million)
% 101.42/15.76 % (1980298)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=734428604:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 101.42/15.76 % (1980298)Instruction limit reached!
% 101.42/15.76 % (1980298)------------------------------
% 101.42/15.76 % (1980298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980298)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980298)Termination reason: Instruction limit
% 101.42/15.76 % (1980298)Termination phase: Saturation
% 101.42/15.76 % (1980298)Time elapsed: 0.090 s
% 101.42/15.76 % (1980298)Peak memory usage: 92 MB
% 101.42/15.76 % (1980298)Instructions burned: 185 (million)
% 101.42/15.76 % (1980300)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1912042859:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 101.42/15.76 % (1980300)Instruction limit reached!
% 101.42/15.76 % (1980300)------------------------------
% 101.42/15.76 % (1980300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980300)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980300)Termination reason: Instruction limit
% 101.42/15.76 % (1980300)Termination phase: Saturation
% 101.42/15.76 % (1980300)Time elapsed: 0.086 s
% 101.42/15.76 % (1980300)Peak memory usage: 88 MB
% 101.42/15.76 % (1980300)Instructions burned: 195 (million)
% 101.42/15.76 % (1980302)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3605697982:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 101.42/15.76 % (1980289)Instruction limit reached!
% 101.42/15.76 % (1980289)------------------------------
% 101.42/15.76 % (1980289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980289)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980289)Termination reason: Instruction limit
% 101.42/15.76 % (1980289)Termination phase: Saturation
% 101.42/15.76 % (1980289)Time elapsed: 3.545 s
% 101.42/15.76 % (1980289)Peak memory usage: 172 MB
% 101.42/15.76 % (1980289)Instructions burned: 6061 (million)
% 101.42/15.76 % (1980304)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2369558021:i=12111:sd=1:ss=included_2940 on theBenchmark for (2940ds/12111Mi)
% 101.42/15.76 % (1980302)Instruction limit reached!
% 101.42/15.76 % (1980302)------------------------------
% 101.42/15.76 % (1980302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980302)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980302)Termination reason: Instruction limit
% 101.42/15.76 % (1980302)Termination phase: Saturation
% 101.42/15.76 % (1980302)Time elapsed: 2.598 s
% 101.42/15.76 % (1980302)Peak memory usage: 144 MB
% 101.42/15.76 % (1980302)Instructions burned: 4850 (million)
% 101.42/15.76 % (1980306)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3385603774:i=319:kws=precedence:fsr=off_2921 on theBenchmark for (2921ds/319Mi)
% 101.42/15.76 % (1980306)Instruction limit reached!
% 101.42/15.76 % (1980306)------------------------------
% 101.42/15.76 % (1980306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980306)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980306)Termination reason: Instruction limit
% 101.42/15.76 % (1980306)Termination phase: Saturation
% 101.42/15.76 % (1980306)Time elapsed: 0.177 s
% 101.42/15.76 % (1980306)Peak memory usage: 93 MB
% 101.42/15.76 % (1980306)Instructions burned: 320 (million)
% 101.42/15.76 % (1980308)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1556573261:i=2064:ep=RST_2918 on theBenchmark for (2918ds/2064Mi)
% 101.42/15.76 % (1980279)Instruction limit reached!
% 101.42/15.76 % (1980279)------------------------------
% 101.42/15.76 % (1980279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980279)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980279)Termination reason: Instruction limit
% 101.42/15.76 % (1980279)Termination phase: Saturation
% 101.42/15.76 % (1980279)Time elapsed: 7.701 s
% 101.42/15.76 % (1980279)Peak memory usage: 248 MB
% 101.42/15.76 % (1980279)Instructions burned: 13193 (million)
% 101.42/15.76 % (1980311)dis-1011_128_sil=32000:random_seed=413932947:i=3706:ep=RST:av=off_2908 on theBenchmark for (2908ds/3706Mi)
% 101.42/15.76 % (1980308)Instruction limit reached!
% 101.42/15.76 % (1980308)------------------------------
% 101.42/15.76 % (1980308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980308)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980308)Termination reason: Instruction limit
% 101.42/15.76 % (1980308)Termination phase: Saturation
% 101.42/15.76 % (1980308)Time elapsed: 1.175 s
% 101.42/15.76 % (1980308)Peak memory usage: 108 MB
% 101.42/15.76 % (1980308)Instructions burned: 2065 (million)
% 101.42/15.76 % (1980313)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2042601209:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2905 on theBenchmark for (2905ds/757Mi)
% 101.42/15.76 % (1980313)Instruction limit reached!
% 101.42/15.76 % (1980313)------------------------------
% 101.42/15.76 % (1980313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980313)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980313)Termination reason: Instruction limit
% 101.42/15.76 % (1980313)Termination phase: Saturation
% 101.42/15.76 % (1980313)Time elapsed: 0.459 s
% 101.42/15.76 % (1980313)Peak memory usage: 104 MB
% 101.42/15.76 % (1980313)Instructions burned: 757 (million)
% 101.42/15.76 % (1980315)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1580040861:i=13913:ss=axioms:sgt=8_2899 on theBenchmark for (2899ds/13913Mi)
% 101.42/15.76 % (1980294)Instruction limit reached!
% 101.42/15.76 % (1980294)------------------------------
% 101.42/15.76 % (1980294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980294)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980294)Termination reason: Instruction limit
% 101.42/15.76 % (1980294)Termination phase: Saturation
% 101.42/15.76 % (1980294)Time elapsed: 7.692 s
% 101.42/15.76 % (1980294)Peak memory usage: 248 MB
% 101.42/15.76 % (1980294)Instructions burned: 14156 (million)
% 101.42/15.76 % (1980317)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2950515140:i=9925:aac=none_2894 on theBenchmark for (2894ds/9925Mi)
% 101.42/15.76 % (1980311)Instruction limit reached!
% 101.42/15.76 % (1980311)------------------------------
% 101.42/15.76 % (1980311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980311)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980311)Termination reason: Instruction limit
% 101.42/15.76 % (1980311)Termination phase: Saturation
% 101.42/15.76 % (1980311)Time elapsed: 2.121 s
% 101.42/15.76 % (1980311)Peak memory usage: 109 MB
% 101.42/15.76 % (1980311)Instructions burned: 3706 (million)
% 101.42/15.76 % (1980319)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3979258454:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2885 on theBenchmark for (2885ds/2479Mi)
% 101.42/15.76 % (1980304)Instruction limit reached!
% 101.42/15.76 % (1980304)------------------------------
% 101.42/15.76 % (1980304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980304)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980304)Termination reason: Instruction limit
% 101.42/15.76 % (1980304)Termination phase: Saturation
% 101.42/15.76 % (1980304)Time elapsed: 6.799 s
% 101.42/15.76 % (1980304)Peak memory usage: 307 MB
% 101.42/15.76 % (1980304)Instructions burned: 12112 (million)
% 101.42/15.76 % (1980319)Instruction limit reached!
% 101.42/15.76 % (1980319)------------------------------
% 101.42/15.76 % (1980319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980319)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980319)Termination reason: Instruction limit
% 101.42/15.76 % (1980319)Termination phase: Saturation
% 101.42/15.76 % (1980319)Time elapsed: 1.327 s
% 101.42/15.76 % (1980319)Peak memory usage: 113 MB
% 101.42/15.76 % (1980319)Instructions burned: 2480 (million)
% 101.42/15.76 % (1980321)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3681859416:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2870 on theBenchmark for (2870ds/440Mi)
% 101.42/15.76 % (1980322)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1543716959:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2870 on theBenchmark for (2870ds/11145Mi)
% 101.42/15.76 % (1980321)Instruction limit reached!
% 101.42/15.76 % (1980321)------------------------------
% 101.42/15.76 % (1980321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.42/15.76 % (1980321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.42/15.76 % (1980321)CaDiCaL version: 2.1.3
% 101.42/15.76 % (1980321)Termination reason: Instruction limit
% 101.42/15.76 % (1980321)Termination phase: Saturation
% 101.42/15.76 % (1980321)Time elapsed: 0.244 s
% 101.42/15.76 % (1980321)Peak memory usage: 93 MB
% 101.42/15.76 % (1980321)Instructions burned: 441 (million)
% 101.42/15.76 % (1980325)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=4099353642:cts=off:i=3034:av=off:er=known:fsd=on_2867 on theBenchmark for (2867ds/3034Mi)
% 101.42/15.76 % (1980317)First to succeed.
% 101.42/15.76 % (1980317)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1980233"
% 101.42/15.76 % (1980317)Refutation found. Thanks to Tanya!
% 101.42/15.76 % SZS status Theorem for theBenchmark
% 101.42/15.76 % SZS output start Proof for theBenchmark
% See solution above
% 106.16/15.96 % (1980317)------------------------------
% 106.16/15.96 % (1980317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.16/15.96 % (1980317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.16/15.96 % (1980317)CaDiCaL version: 2.1.3
% 106.16/15.96 % (1980317)Termination reason: Refutation
% 106.16/15.96 % (1980317)Time elapsed: 3.847 s
% 106.16/15.96 % (1980317)Peak memory usage: 181 MB
% 106.16/15.96 % (1980317)Instructions burned: 6534 (million)
% 106.16/15.96 % (1980317)------------------------------
% 106.16/15.96 % (1980317)------------------------------
% 106.16/15.96 % (1980233)Success in time 14.905 s
% 106.16/15.96 % Vampire exiting
%------------------------------------------------------------------------------