%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG051+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:35:17 PM UTC 2026
% Result : Theorem 44.46s 16.07s
% Output : Refutation 107.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 36
% Syntax : Number of formulae : 249 ( 49 unt; 20 def)
% Number of atoms : 860 ( 79 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1118 ( 507 ~; 501 |; 66 &)
% ( 13 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 242 ( 0 sgn 238 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,conjecture,
! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( ! [X2,X3] :
( ( aVector0(X2)
& aVector0(X3) )
=> ( aDimensionOf0(X2) = aDimensionOf0(X3)
=> ( iLess0(aDimensionOf0(X2),aDimensionOf0(X0))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X2,X3),sdtasasdt0(X2,X3)),sdtasdt0(sdtasasdt0(X2,X2),sdtasasdt0(X3,X3))) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f39,negated_conjecture,
~ ! [X0,X1] :
( ( aVector0(X0)
& aVector0(X1) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( ! [X2,X3] :
( ( aVector0(X2)
& aVector0(X3) )
=> ( aDimensionOf0(X2) = aDimensionOf0(X3)
=> ( iLess0(aDimensionOf0(X2),aDimensionOf0(X0))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X2,X3),sdtasasdt0(X2,X3)),sdtasdt0(sdtasasdt0(X2,X2),sdtasasdt0(X3,X3))) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f51,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f52,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f54,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f56,plain,
! [X0] :
( ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f57]) ).
fof(f63,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f64,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f63]) ).
fof(f67,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f70,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f71,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f77,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f79,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f78]) ).
fof(f90,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f91,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(flattening,[],[f90]) ).
fof(f96,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f97,plain,
? [X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
& ! [X2,X3] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X2,X3),sdtasasdt0(X2,X3)),sdtasdt0(sdtasasdt0(X2,X2),sdtasasdt0(X3,X3)))
| ~ iLess0(aDimensionOf0(X2),aDimensionOf0(X0))
| aDimensionOf0(X2) != aDimensionOf0(X3)
| ~ aVector0(X2)
| ~ aVector0(X3) )
& aDimensionOf0(X0) = aDimensionOf0(X1)
& aVector0(X0)
& aVector0(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f98,plain,
? [X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
& ! [X2,X3] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X2,X3),sdtasasdt0(X2,X3)),sdtasdt0(sdtasasdt0(X2,X2),sdtasasdt0(X3,X3)))
| ~ iLess0(aDimensionOf0(X2),aDimensionOf0(X0))
| aDimensionOf0(X2) != aDimensionOf0(X3)
| ~ aVector0(X2)
| ~ aVector0(X3) )
& aDimensionOf0(X0) = aDimensionOf0(X1)
& aVector0(X0)
& aVector0(X1) ),
inference(flattening,[],[f97]) ).
fof(f104,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(sK2,sK3),sdtasasdt0(sK2,sK3)),sdtasdt0(sdtasasdt0(sK2,sK2),sdtasasdt0(sK3,sK3)))
& ! [X2,X3] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X2,X3),sdtasasdt0(X2,X3)),sdtasdt0(sdtasasdt0(X2,X2),sdtasasdt0(X3,X3)))
| ~ iLess0(aDimensionOf0(X2),aDimensionOf0(sK2))
| aDimensionOf0(X2) != aDimensionOf0(X3)
| ~ aVector0(X2)
| ~ aVector0(X3) )
& aDimensionOf0(sK2) = aDimensionOf0(sK3)
& aVector0(sK2)
& aVector0(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f98]) ).
fof(f112,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f114,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f115,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f117,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f118,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f119,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f121,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f122,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f123,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f127,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f131,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f132,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f134,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f73]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f75]) ).
fof(f139,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f140,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f152,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X0)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f155,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f156,plain,
aVector0(sK3),
inference(cnf_transformation,[],[f104]) ).
fof(f157,plain,
aVector0(sK2),
inference(cnf_transformation,[],[f104]) ).
fof(f158,plain,
aDimensionOf0(sK2) = aDimensionOf0(sK3),
inference(cnf_transformation,[],[f104]) ).
fof(f160,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(sK2,sK3),sdtasasdt0(sK2,sK3)),sdtasdt0(sdtasasdt0(sK2,sK2),sdtasasdt0(sK3,sK3))),
inference(cnf_transformation,[],[f104]) ).
fof(f164,definition,
sF4 = sdtasasdt0(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f165,plain,
sdtasasdt0(sK2,sK3) = sF4,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF5 = sdtasdt0(sF4,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f167,plain,
sdtasdt0(sF4,sF4) = sF5,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF6 = sdtasasdt0(sK2,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f169,plain,
sdtasasdt0(sK2,sK2) = sF6,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF7 = sdtasasdt0(sK3,sK3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f171,plain,
sdtasasdt0(sK3,sK3) = sF7,
inference(reorient_equations,[],[f170]) ).
fof(f172,definition,
sF8 = sdtasdt0(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f173,plain,
sdtasdt0(sF6,sF7) = sF8,
inference(reorient_equations,[],[f172]) ).
fof(f174,plain,
~ sdtlseqdt0(sF5,sF8),
inference(definition_folding,[],[f160,f173,f171,f169,f167,f165,f165]) ).
fof(f175,definition,
sF9 = aDimensionOf0(sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f176,plain,
aDimensionOf0(sK2) = sF9,
inference(reorient_equations,[],[f175]) ).
fof(f178,definition,
sF10 = aDimensionOf0(sK3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f179,plain,
aDimensionOf0(sK3) = sF10,
inference(reorient_equations,[],[f178]) ).
fof(f180,plain,
sF9 = sF10,
inference(definition_folding,[],[f158,f179,f176]) ).
fof(f197,plain,
aDimensionOf0(sK3) = sF9,
inference(forward_demodulation,[],[f179,f180]) ).
fof(f228,plain,
( sdtlseqdt0(sz0z00,sF7)
| ~ aVector0(sK3) ),
inference(superposition,[],[f155,f171]) ).
fof(f229,plain,
( sdtlseqdt0(sz0z00,sF6)
| ~ aVector0(sK2) ),
inference(superposition,[],[f155,f169]) ).
fof(f230,plain,
sdtlseqdt0(sz0z00,sF6),
inference(forward_subsumption_resolution,[],[f229,f157]) ).
fof(f231,plain,
sdtlseqdt0(sz0z00,sF7),
inference(forward_subsumption_resolution,[],[f228,f156]) ).
fof(f243,plain,
! [X0] :
( aDimensionOf0(X0) != sF9
| aScalar0(sdtasasdt0(sK2,X0))
| ~ aVector0(sK2)
| ~ aVector0(X0) ),
inference(superposition,[],[f152,f176]) ).
fof(f246,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f152]) ).
fof(f247,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f250,plain,
! [X0] :
( aDimensionOf0(X0) != sF9
| aScalar0(sdtasasdt0(sK2,X0))
| ~ aVector0(X0) ),
inference(forward_subsumption_resolution,[],[f243,f157]) ).
fof(f317,definition,
( spl11_10
<=> aScalar0(sF4) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f318,plain,
( aScalar0(sF4)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( ~ aScalar0(sF4)
| spl11_10 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f326,plain,
( aScalar0(sF8)
| ~ aScalar0(sF6)
| ~ aScalar0(sF7) ),
inference(superposition,[],[f114,f173]) ).
fof(f329,definition,
( spl11_12
<=> aScalar0(sF7) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f330,plain,
( aScalar0(sF7)
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( ~ aScalar0(sF7)
| spl11_12 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f333,definition,
( spl11_13
<=> aScalar0(sF6) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f334,plain,
( aScalar0(sF6)
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f337,definition,
( spl11_14
<=> aScalar0(sF8) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
fof(f339,plain,
( aScalar0(sF8)
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f340,plain,
( ~ spl11_12
| ~ spl11_13
| spl11_14 ),
inference(avatar_split_clause,[],[f326,f337,f333,f329]) ).
fof(f342,plain,
aScalar0(sdtasasdt0(sK3,sK3)),
inference(unit_resulting_resolution,[],[f247,f156]) ).
fof(f344,plain,
( aScalar0(sF6)
| ~ aVector0(sK2) ),
inference(superposition,[],[f247,f169]) ).
fof(f345,plain,
aScalar0(sF6),
inference(forward_subsumption_resolution,[],[f344,f157]) ).
fof(f348,plain,
aScalar0(sF7),
inference(forward_demodulation,[],[f342,f171]) ).
fof(f349,plain,
spl11_13,
inference(avatar_split_clause,[],[f345,f333]) ).
fof(f352,plain,
( $false
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f348,f331]) ).
fof(f353,plain,
spl11_12,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f695,definition,
( spl11_15
<=> aScalar0(sF5) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
fof(f696,plain,
( aScalar0(sF5)
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( ~ aScalar0(sF5)
| spl11_15 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f754,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(unit_resulting_resolution,[],[f134,f112]) ).
fof(f931,plain,
( aScalar0(sF5)
| ~ aScalar0(sF4)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f114,f167]) ).
fof(f938,plain,
( aScalar0(sF5)
| ~ aScalar0(sF4) ),
inference(duplicate_literal_removal,[],[f931]) ).
fof(f1406,plain,
( sF9 != sF9
| aScalar0(sdtasasdt0(sK2,sK3))
| ~ aVector0(sK3) ),
inference(superposition,[],[f250,f197]) ).
fof(f1407,plain,
( aScalar0(sdtasasdt0(sK2,sK3))
| ~ aVector0(sK3) ),
inference(trivial_inequality_removal,[],[f1406]) ).
fof(f1410,plain,
aScalar0(sdtasasdt0(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f1407,f156]) ).
fof(f1413,plain,
aScalar0(sF4),
inference(forward_demodulation,[],[f1410,f165]) ).
fof(f1416,plain,
( $false
| spl11_10 ),
inference(forward_subsumption_resolution,[],[f1413,f319]) ).
fof(f1417,plain,
spl11_10,
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1429,plain,
( ~ aScalar0(sF4)
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f938,f697]) ).
fof(f1437,definition,
( spl11_36
<=> sdtlseqdt0(sz0z00,sF4) ),
introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition]) ).
fof(f1438,plain,
( sdtlseqdt0(sz0z00,sF4)
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1439,plain,
( ~ sdtlseqdt0(sz0z00,sF4)
| spl11_36 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1460,plain,
( $false
| ~ spl11_10
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f1429,f318]) ).
fof(f1461,plain,
( ~ spl11_10
| spl11_15 ),
inference(avatar_contradiction_clause,[],[f1460]) ).
fof(f1562,plain,
( sdtlseqdt0(sF4,sF4)
| ~ spl11_10 ),
inference(unit_resulting_resolution,[],[f134,f318]) ).
fof(f1832,plain,
( sdtlseqdt0(sF5,sF5)
| ~ spl11_15 ),
inference(unit_resulting_resolution,[],[f134,f696]) ).
fof(f7202,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(sF6,sF7))
| ~ spl11_12
| ~ spl11_13 ),
inference(unit_resulting_resolution,[],[f140,f330,f334,f231,f230]) ).
fof(f7218,plain,
( sdtlseqdt0(sz0z00,sF8)
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f7202,f173]) ).
fof(f7258,plain,
( sF5 = smndt0(smndt0(sF5))
| ~ spl11_15 ),
inference(unit_resulting_resolution,[],[f117,f696]) ).
fof(f8657,definition,
( spl11_66
<=> aScalar0(smndt0(sF5)) ),
introduced(definition,[new_symbols(definition,[spl11_66])],[avatar_definition]) ).
fof(f8658,plain,
( aScalar0(smndt0(sF5))
| ~ spl11_66 ),
inference(avatar_component_clause,[],[f8657]) ).
fof(f8659,plain,
( ~ aScalar0(smndt0(sF5))
| spl11_66 ),
inference(avatar_component_clause,[],[f8657]) ).
fof(f25048,plain,
( aScalar0(smndt0(sF4))
| ~ spl11_10 ),
inference(unit_resulting_resolution,[],[f115,f318]) ).
fof(f25049,plain,
( aScalar0(smndt0(sF5))
| ~ spl11_15 ),
inference(unit_resulting_resolution,[],[f115,f696]) ).
fof(f25057,plain,
( $false
| ~ spl11_15
| spl11_66 ),
inference(forward_subsumption_resolution,[],[f25049,f8659]) ).
fof(f25058,plain,
( ~ spl11_15
| spl11_66 ),
inference(avatar_contradiction_clause,[],[f25057]) ).
fof(f31875,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f138,f121]) ).
fof(f31897,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f31875]) ).
fof(f31915,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f31897,f754]) ).
fof(f31984,definition,
( spl11_94
<=> sdtlseqdt0(sF4,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl11_94])],[avatar_definition]) ).
fof(f31985,plain,
( sdtlseqdt0(sF4,sz0z00)
| ~ spl11_94 ),
inference(avatar_component_clause,[],[f31984]) ).
fof(f31986,plain,
( ~ sdtlseqdt0(sF4,sz0z00)
| spl11_94 ),
inference(avatar_component_clause,[],[f31984]) ).
fof(f31991,definition,
( spl11_96
<=> sdtlseqdt0(sF5,sz0z00) ),
introduced(definition,[new_symbols(definition,[spl11_96])],[avatar_definition]) ).
fof(f31992,plain,
( ~ sdtlseqdt0(sF5,sz0z00)
| spl11_96 ),
inference(avatar_component_clause,[],[f31991]) ).
fof(f32007,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f31915,f112]) ).
fof(f33049,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(superposition,[],[f32007,f132]) ).
fof(f33053,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ sdtlseqdt0(X2,smndt0(X0))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(superposition,[],[f32007,f131]) ).
fof(f33058,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ sdtlseqdt0(X2,smndt0(X0))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f33053]) ).
fof(f33061,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f33049]) ).
fof(f33064,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ sdtlseqdt0(X2,smndt0(X0))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f33058,f115]) ).
fof(f33067,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ sdtlseqdt0(X2,X0)
| ~ sdtlseqdt0(sz0z00,smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f33061,f115]) ).
fof(f33227,definition,
( spl11_107
<=> sdtlseqdt0(sz0z00,smndt0(sF4)) ),
introduced(definition,[new_symbols(definition,[spl11_107])],[avatar_definition]) ).
fof(f33228,plain,
( sdtlseqdt0(sz0z00,smndt0(sF4))
| ~ spl11_107 ),
inference(avatar_component_clause,[],[f33227]) ).
fof(f33229,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sF4))
| spl11_107 ),
inference(avatar_component_clause,[],[f33227]) ).
fof(f48368,plain,
( ~ sdtlseqdt0(sF5,sz0z00)
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(unit_resulting_resolution,[],[f136,f339,f112,f696,f174,f7218]) ).
fof(f48416,plain,
( ~ spl11_96
| ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f48368,f695,f337,f333,f329,f31991]) ).
fof(f48802,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X2)
| ~ aScalar0(X0) ),
inference(superposition,[],[f137,f119]) ).
fof(f48816,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X2))
| ~ aScalar0(X2) ),
inference(superposition,[],[f137,f119]) ).
fof(f48828,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X2)) ),
inference(duplicate_literal_removal,[],[f48816]) ).
fof(f48833,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X2) ),
inference(duplicate_literal_removal,[],[f48802]) ).
fof(f48846,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,smndt0(X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f48828,f115]) ).
fof(f48857,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(smndt0(X0),X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(forward_subsumption_resolution,[],[f48833,f115]) ).
fof(f48962,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(smndt0(X3),X2)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(superposition,[],[f48857,f127]) ).
fof(f48970,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(smndt0(X3),X2)
| ~ aScalar0(X3)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f48962]) ).
fof(f48977,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ sdtlseqdt0(X3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(smndt0(X3),X2)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f48970,f113]) ).
fof(f49888,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ sdtlseqdt0(sz0z00,sF4)
| ~ aScalar0(X0)
| ~ aScalar0(sF4)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f33064,f167]) ).
fof(f49893,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ sdtlseqdt0(sz0z00,sF4)
| ~ aScalar0(X0)
| ~ aScalar0(sF4) ),
inference(duplicate_literal_removal,[],[f49888]) ).
fof(f49905,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(X0)
| ~ aScalar0(sF4) )
| ~ spl11_36 ),
inference(forward_subsumption_resolution,[],[f49893,f1438]) ).
fof(f49913,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(X0) )
| ~ spl11_10
| ~ spl11_36 ),
inference(forward_subsumption_resolution,[],[f49905,f318]) ).
fof(f49920,definition,
( spl11_140
<=> ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_140])],[avatar_definition]) ).
fof(f49921,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,smndt0(sF4))
| ~ aScalar0(X0) )
| ~ spl11_140 ),
inference(avatar_component_clause,[],[f49920]) ).
fof(f49923,definition,
( spl11_141
<=> sdtlseqdt0(sz0z00,smndt0(sF5)) ),
introduced(definition,[new_symbols(definition,[spl11_141])],[avatar_definition]) ).
fof(f49924,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sF5))
| spl11_141 ),
inference(avatar_component_clause,[],[f49923]) ).
fof(f49925,plain,
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ spl11_141 ),
inference(avatar_component_clause,[],[f49923]) ).
fof(f49926,plain,
( spl11_140
| spl11_141
| ~ spl11_10
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f49913,f1437,f317,f49923,f49920]) ).
fof(f50141,plain,
( ~ aScalar0(smndt0(sF4))
| ~ aScalar0(smndt0(sF4))
| ~ spl11_140 ),
inference(resolution,[],[f49921,f134]) ).
fof(f50144,plain,
( ~ aScalar0(smndt0(sF4))
| ~ spl11_140 ),
inference(duplicate_literal_removal,[],[f50141]) ).
fof(f50146,plain,
( $false
| ~ spl11_10
| ~ spl11_140 ),
inference(forward_subsumption_resolution,[],[f50144,f25048]) ).
fof(f50147,plain,
( ~ spl11_10
| ~ spl11_140 ),
inference(avatar_contradiction_clause,[],[f50146]) ).
fof(f55346,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,smndt0(X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X0) ),
inference(superposition,[],[f48846,f122]) ).
fof(f55372,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,smndt0(X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(duplicate_literal_removal,[],[f55346]) ).
fof(f55391,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,smndt0(X1))
| ~ sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f55372,f112]) ).
fof(f55652,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ sdtlseqdt0(X0,sF4)
| ~ sdtlseqdt0(sz0z00,smndt0(sF4))
| ~ aScalar0(X0)
| ~ aScalar0(sF4)
| ~ aScalar0(sF4) ),
inference(superposition,[],[f33067,f167]) ).
fof(f55657,plain,
! [X0] :
( sdtlseqdt0(sz0z00,smndt0(sF5))
| ~ sdtlseqdt0(X0,sF4)
| ~ sdtlseqdt0(sz0z00,smndt0(sF4))
| ~ aScalar0(X0)
| ~ aScalar0(sF4) ),
inference(duplicate_literal_removal,[],[f55652]) ).
fof(f55806,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,sz0z00))
| ~ sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(smndt0(X2),smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X1) ),
inference(superposition,[],[f48977,f119]) ).
fof(f55833,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,sz0z00))
| ~ sdtlseqdt0(X2,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(smndt0(X2),smndt0(X1))
| ~ aScalar0(X2)
| ~ aScalar0(smndt0(X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f55806]) ).
fof(f55857,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(smndt0(X2),smndt0(X1))
| ~ sdtlseqdt0(X2,sdtpldt0(X0,X1))
| sdtlseqdt0(sz0z00,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f55833,f115]) ).
fof(f62544,plain,
( sdtlseqdt0(sF4,sz0z00)
| ~ aScalar0(sF4)
| ~ aScalar0(sz0z00)
| spl11_36 ),
inference(resolution,[],[f1439,f139]) ).
fof(f63433,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sdtpldt0(X1,X0))
| sdtlseqdt0(sz0z00,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(resolution,[],[f55857,f134]) ).
fof(f63443,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sdtpldt0(X1,X0))
| sdtlseqdt0(sz0z00,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(smndt0(X0)) ),
inference(duplicate_literal_removal,[],[f63433]) ).
fof(f63447,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,sdtpldt0(X1,X0))
| sdtlseqdt0(sz0z00,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(forward_subsumption_resolution,[],[f63443,f115]) ).
fof(f63473,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sz0z00,sdtpldt0(smndt0(X0),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(superposition,[],[f63447,f118]) ).
fof(f63479,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sz0z00,sdtpldt0(smndt0(X0),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(X0)) ),
inference(duplicate_literal_removal,[],[f63473]) ).
fof(f63497,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtpldt0(smndt0(X0),sz0z00))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[],[f63479,f115]) ).
fof(f63858,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(smndt0(sF4),sz0z00))
| ~ spl11_10
| ~ spl11_94 ),
inference(unit_resulting_resolution,[],[f63497,f318,f31985]) ).
fof(f70133,plain,
( ~ sdtlseqdt0(sF5,smndt0(smndt0(sF5)))
| ~ spl11_15
| ~ spl11_66
| spl11_96
| ~ spl11_141 ),
inference(unit_resulting_resolution,[],[f55391,f696,f31992,f8658,f49925]) ).
fof(f70175,plain,
( ~ sdtlseqdt0(sF5,sF5)
| ~ spl11_15
| ~ spl11_66
| spl11_96
| ~ spl11_141 ),
inference(forward_demodulation,[],[f70133,f7258]) ).
fof(f70183,plain,
( $false
| ~ spl11_15
| ~ spl11_66
| spl11_96
| ~ spl11_141 ),
inference(forward_subsumption_resolution,[],[f70175,f1832]) ).
fof(f70184,plain,
( ~ spl11_15
| ~ spl11_66
| spl11_96
| ~ spl11_141 ),
inference(avatar_contradiction_clause,[],[f70183]) ).
fof(f71533,definition,
( spl11_233
<=> ! [X0] :
( ~ sdtlseqdt0(X0,sF4)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_233])],[avatar_definition]) ).
fof(f71534,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF4)
| ~ aScalar0(X0) )
| ~ spl11_233 ),
inference(avatar_component_clause,[],[f71533]) ).
fof(f72621,plain,
( smndt0(sF4) = sdtpldt0(smndt0(sF4),sz0z00)
| ~ spl11_10 ),
inference(unit_resulting_resolution,[],[f123,f25048]) ).
fof(f75005,plain,
( sdtlseqdt0(sz0z00,smndt0(sF4))
| ~ spl11_10
| ~ spl11_94 ),
inference(backward_demodulation,[],[f63858,f72621]) ).
fof(f77158,plain,
( $false
| ~ spl11_10
| ~ spl11_94
| spl11_107 ),
inference(forward_subsumption_resolution,[],[f75005,f33229]) ).
fof(f77159,plain,
( ~ spl11_10
| ~ spl11_94
| spl11_107 ),
inference(avatar_contradiction_clause,[],[f77158]) ).
fof(f80305,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF4)
| ~ sdtlseqdt0(sz0z00,smndt0(sF4))
| ~ aScalar0(X0)
| ~ aScalar0(sF4) )
| spl11_141 ),
inference(forward_subsumption_resolution,[],[f55657,f49924]) ).
fof(f80309,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF4)
| ~ aScalar0(X0)
| ~ aScalar0(sF4) )
| ~ spl11_107
| spl11_141 ),
inference(forward_subsumption_resolution,[],[f80305,f33228]) ).
fof(f80312,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sF4)
| ~ aScalar0(X0) )
| ~ spl11_10
| ~ spl11_107
| spl11_141 ),
inference(forward_subsumption_resolution,[],[f80309,f318]) ).
fof(f80313,plain,
( spl11_233
| ~ spl11_10
| ~ spl11_107
| spl11_141 ),
inference(avatar_split_clause,[],[f80312,f49923,f33227,f317,f71533]) ).
fof(f80322,plain,
( ~ sdtlseqdt0(sF4,sF4)
| ~ spl11_10
| ~ spl11_233 ),
inference(unit_resulting_resolution,[],[f71534,f318]) ).
fof(f80343,plain,
( $false
| ~ spl11_10
| ~ spl11_233 ),
inference(forward_subsumption_resolution,[],[f80322,f1562]) ).
fof(f80344,plain,
( ~ spl11_10
| ~ spl11_233 ),
inference(avatar_contradiction_clause,[],[f80343]) ).
fof(f80369,plain,
( ~ aScalar0(sF4)
| ~ aScalar0(sz0z00)
| spl11_36
| spl11_94 ),
inference(forward_subsumption_resolution,[],[f62544,f31986]) ).
fof(f80387,plain,
( ~ aScalar0(sz0z00)
| ~ spl11_10
| spl11_36
| spl11_94 ),
inference(forward_subsumption_resolution,[],[f80369,f318]) ).
fof(f80400,plain,
( $false
| ~ spl11_10
| spl11_36
| spl11_94 ),
inference(forward_subsumption_resolution,[],[f80387,f112]) ).
fof(f80401,plain,
( ~ spl11_10
| spl11_36
| spl11_94 ),
inference(avatar_contradiction_clause,[],[f80400]) ).
cnf(s8,plain,
( ~ spl11_12
| ~ spl11_13
| spl11_14 ),
inference(sat_conversion,[],[f340]) ).
cnf(s9,plain,
spl11_13,
inference(sat_conversion,[],[f349]) ).
cnf(s12,plain,
spl11_12,
inference(sat_conversion,[],[f353]) ).
cnf(s33,plain,
spl11_10,
inference(sat_conversion,[],[f1417]) ).
cnf(s40,plain,
( ~ spl11_10
| spl11_15 ),
inference(sat_conversion,[],[f1461]) ).
cnf(s170,plain,
( ~ spl11_15
| spl11_66 ),
inference(sat_conversion,[],[f25058]) ).
cnf(s246,plain,
( ~ spl11_12
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15
| ~ spl11_96 ),
inference(sat_conversion,[],[f48416]) ).
cnf(s260,plain,
( ~ spl11_10
| ~ spl11_36
| spl11_140
| spl11_141 ),
inference(sat_conversion,[],[f49926]) ).
cnf(s268,plain,
( ~ spl11_10
| ~ spl11_140 ),
inference(sat_conversion,[],[f50147]) ).
cnf(s345,plain,
( ~ spl11_15
| ~ spl11_66
| spl11_96
| ~ spl11_141 ),
inference(sat_conversion,[],[f70184]) ).
cnf(s410,plain,
( ~ spl11_10
| ~ spl11_94
| spl11_107 ),
inference(sat_conversion,[],[f77159]) ).
cnf(s411,plain,
( ~ spl11_10
| ~ spl11_107
| spl11_141
| spl11_233 ),
inference(sat_conversion,[],[f80313]) ).
cnf(s414,plain,
( ~ spl11_10
| ~ spl11_233 ),
inference(sat_conversion,[],[f80344]) ).
cnf(s429,plain,
( ~ spl11_10
| spl11_36
| spl11_94 ),
inference(sat_conversion,[],[f80401]) ).
cnf(s443,plain,
~ spl11_233,
inference(rat,[],[s414,s33]) ).
cnf(s444,plain,
~ spl11_140,
inference(rat,[],[s268,s33]) ).
cnf(s446,plain,
spl11_15,
inference(rat,[],[s40,s33]) ).
cnf(s450,plain,
spl11_66,
inference(rat,[],[s170,s446]) ).
cnf(s491,plain,
spl11_14,
inference(rat,[],[s8,s9,s12]) ).
cnf(s493,plain,
~ spl11_96,
inference(rat,[],[s246,s9,s446,s12,s491]) ).
cnf(s496,plain,
~ spl11_141,
inference(rat,[],[s345,s450,s446,s493]) ).
cnf(s497,plain,
~ spl11_107,
inference(rat,[],[s411,s443,s33,s496]) ).
cnf(s498,plain,
~ spl11_36,
inference(rat,[],[s260,s33,s444,s496]) ).
cnf(s500,plain,
~ spl11_94,
inference(rat,[],[s410,s33,s497]) ).
cnf(s501,plain,
$false,
inference(rat,[],[s429,s33,s500,s498]) ).
fof(f80404,plain,
$false,
inference(avatar_sat_refutation,[],[s501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG051+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n006.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 23:02:40 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 22.79/4.21 % (3431781)Detected formulas, will run a generic FOF schedule.
% 22.79/4.21 % (3431788)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=3299084594:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 22.79/4.21 % (3431794)dis-21_1_sil=8000:lcm=predicate:random_seed=499042825: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)
% 22.79/4.21 % (3431790)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=3902567782:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 22.79/4.21 % (3431791)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1790496800:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 22.79/4.21 % (3431792)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4228419394:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 22.79/4.21 % (3431793)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1937932589:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 22.79/4.21 % (3431791)Refutation not found, incomplete strategy
% 22.79/4.21 % (3431791)------------------------------
% 22.79/4.21 % (3431791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.79/4.21 % (3431791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.79/4.21 % (3431791)CaDiCaL version: 2.1.3
% 22.79/4.21 % (3431791)Termination reason: Refutation not found, incomplete strategy
% 22.79/4.21 % (3431791)Time elapsed: 0.006 s
% 22.79/4.21 % (3431791)Peak memory usage: 88 MB
% 22.79/4.21 % (3431791)Instructions burned: 3 (million)
% 22.79/4.21 % (3431794)Instruction limit reached!
% 22.79/4.21 % (3431794)------------------------------
% 22.79/4.21 % (3431794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.79/4.21 % (3431794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.79/4.21 % (3431794)CaDiCaL version: 2.1.3
% 22.79/4.21 % (3431794)Termination reason: Instruction limit
% 22.79/4.21 % (3431794)Termination phase: Saturation
% 22.79/4.21 % (3431794)Time elapsed: 0.099 s
% 22.79/4.21 % (3431794)Peak memory usage: 89 MB
% 22.79/4.21 % (3431794)Instructions burned: 130 (million)
% 22.79/4.21 % (3431789)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=3592451091:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 22.79/4.21 % (3431792)Instruction limit reached!
% 22.79/4.21 % (3431792)------------------------------
% 22.79/4.21 % (3431792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.79/4.21 % (3431792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.79/4.21 % (3431792)CaDiCaL version: 2.1.3
% 22.79/4.21 % (3431792)Termination reason: Instruction limit
% 22.79/4.21 % (3431792)Termination phase: Saturation
% 22.79/4.21 % (3431792)Time elapsed: 0.109 s
% 22.79/4.21 % (3431792)Peak memory usage: 88 MB
% 22.79/4.21 % (3431792)Instructions burned: 120 (million)
% 22.79/4.21 % (3431793)Instruction limit reached!
% 22.79/4.21 % (3431793)------------------------------
% 22.79/4.21 % (3431793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.79/4.21 % (3431793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.79/4.21 % (3431793)CaDiCaL version: 2.1.3
% 22.79/4.21 % (3431793)Termination reason: Instruction limit
% 22.79/4.21 % (3431793)Termination phase: Saturation
% 22.79/4.21 % (3431793)Time elapsed: 0.147 s
% 22.79/4.21 % (3431793)Peak memory usage: 90 MB
% 22.79/4.21 % (3431793)Instructions burned: 140 (million)
% 22.79/4.21 % (3431802)lrs+10_1_sil=8000:sp=occurrence:random_seed=2902852672:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 22.79/4.21 % (3431804)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2073585185:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 22.79/4.21 % (3431803)lrs+10_1_sil=32000:urr=on:br=off:random_seed=265445602:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 22.79/4.21 % (3431791)------------------------------
% 22.79/4.21 % (3431791)------------------------------
% 22.79/4.21 % (3431803)Instruction limit reached!
% 22.79/4.21 % (3431803)------------------------------
% 22.79/4.21 % (3431803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.44/5.68 % (3431803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.68 % (3431803)CaDiCaL version: 2.1.3
% 32.44/5.68 % (3431803)Termination reason: Instruction limit
% 32.44/5.68 % (3431803)Termination phase: Saturation
% 32.44/5.68 % (3431803)Time elapsed: 0.142 s
% 32.44/5.68 % (3431803)Peak memory usage: 91 MB
% 32.44/5.68 % (3431803)Instructions burned: 157 (million)
% 32.44/5.68 % (3431804)Instruction limit reached!
% 32.44/5.68 % (3431804)------------------------------
% 32.44/5.68 % (3431804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.44/5.68 % (3431804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.68 % (3431804)CaDiCaL version: 2.1.3
% 32.44/5.68 % (3431804)Termination reason: Instruction limit
% 32.44/5.68 % (3431804)Termination phase: Saturation
% 32.44/5.68 % (3431804)Time elapsed: 0.219 s
% 32.44/5.68 % (3431804)Peak memory usage: 93 MB
% 32.44/5.68 % (3431804)Instructions burned: 326 (million)
% 32.44/5.68 % (3431802)Instruction limit reached!
% 32.44/5.68 % (3431802)------------------------------
% 32.44/5.68 % (3431802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.44/5.68 % (3431802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.68 % (3431802)CaDiCaL version: 2.1.3
% 32.44/5.68 % (3431802)Termination reason: Instruction limit
% 32.44/5.68 % (3431802)Termination phase: Saturation
% 32.44/5.68 % (3431802)Time elapsed: 0.282 s
% 32.44/5.68 % (3431802)Peak memory usage: 92 MB
% 32.44/5.68 % (3431802)Instructions burned: 285 (million)
% 32.44/5.68 % (3431808)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=2968674934:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 32.44/5.68 % (3431810)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3876372792:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 32.44/5.68 % (3431809)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2779213743:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 32.44/5.68 % (3431808)Instruction limit reached!
% 32.44/5.68 % (3431808)------------------------------
% 32.44/5.68 % (3431808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.44/5.68 % (3431808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.68 % (3431808)CaDiCaL version: 2.1.3
% 32.44/5.68 % (3431808)Termination reason: Instruction limit
% 32.44/5.68 % (3431808)Termination phase: Saturation
% 32.44/5.68 % (3431808)Time elapsed: 0.185 s
% 32.44/5.68 % (3431808)Peak memory usage: 94 MB
% 32.44/5.68 % (3431808)Instructions burned: 249 (million)
% 32.44/5.68 % (3431811)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1217314934:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 32.44/5.68 % (3431811)Instruction limit reached!
% 32.44/5.68 % (3431811)------------------------------
% 32.44/5.68 % (3431811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.44/5.68 % (3431811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.68 % (3431811)CaDiCaL version: 2.1.3
% 32.44/5.68 % (3431811)Termination reason: Instruction limit
% 32.44/5.68 % (3431811)Termination phase: Saturation
% 32.44/5.68 % (3431811)Time elapsed: 0.124 s
% 32.44/5.68 % (3431811)Peak memory usage: 91 MB
% 32.44/5.68 % (3431811)Instructions burned: 114 (million)
% 32.44/5.68 % (3431809)Instruction limit reached!
% 32.44/5.68 % (3431809)------------------------------
% 32.44/5.68 % (3431809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.44/5.68 % (3431809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.68 % (3431809)CaDiCaL version: 2.1.3
% 32.44/5.68 % (3431809)Termination reason: Instruction limit
% 32.44/5.68 % (3431809)Termination phase: Saturation
% 32.44/5.68 % (3431809)Time elapsed: 0.255 s
% 32.44/5.68 % (3431809)Peak memory usage: 89 MB
% 32.44/5.68 % (3431809)Instructions burned: 295 (million)
% 32.44/5.68 % (3431819)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2729988769:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 32.44/5.68 % (3431821)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3048732547:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 32.44/5.68 % (3431822)lrs+10_1_sil=8000:sp=occurrence:random_seed=363968503:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 89.06/13.55 % (3431819)Instruction limit reached!
% 89.06/13.55 % (3431819)------------------------------
% 89.06/13.55 % (3431819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.06/13.55 % (3431819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.06/13.55 % (3431819)CaDiCaL version: 2.1.3
% 89.06/13.55 % (3431819)Termination reason: Instruction limit
% 89.06/13.55 % (3431819)Termination phase: Saturation
% 89.06/13.55 % (3431819)Time elapsed: 0.109 s
% 89.06/13.55 % (3431819)Peak memory usage: 89 MB
% 89.06/13.55 % (3431819)Instructions burned: 127 (million)
% 89.06/13.55 % (3431821)Instruction limit reached!
% 89.06/13.55 % (3431821)------------------------------
% 89.06/13.55 % (3431821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.06/13.55 % (3431821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.06/13.55 % (3431821)CaDiCaL version: 2.1.3
% 89.06/13.55 % (3431821)Termination reason: Instruction limit
% 89.06/13.55 % (3431821)Termination phase: Saturation
% 89.06/13.55 % (3431821)Time elapsed: 0.108 s
% 89.06/13.55 % (3431821)Peak memory usage: 89 MB
% 89.06/13.55 % (3431821)Instructions burned: 114 (million)
% 89.06/13.55 % (3431828)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4123435692:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 89.06/13.55 % (3431829)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2679748592:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 89.06/13.55 % (3431828)Instruction limit reached!
% 89.06/13.55 % (3431828)------------------------------
% 89.06/13.55 % (3431828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.06/13.55 % (3431828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.06/13.55 % (3431828)CaDiCaL version: 2.1.3
% 89.06/13.55 % (3431828)Termination reason: Instruction limit
% 89.06/13.55 % (3431828)Termination phase: Saturation
% 89.06/13.55 % (3431828)Time elapsed: 0.407 s
% 89.06/13.55 % (3431828)Peak memory usage: 93 MB
% 89.06/13.55 % (3431828)Instructions burned: 437 (million)
% 89.06/13.55 % (3431822)Instruction limit reached!
% 89.06/13.55 % (3431822)------------------------------
% 89.06/13.55 % (3431822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.06/13.55 % (3431822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.06/13.55 % (3431822)CaDiCaL version: 2.1.3
% 89.06/13.55 % (3431822)Termination reason: Instruction limit
% 89.06/13.55 % (3431822)Termination phase: Saturation
% 89.06/13.55 % (3431822)Time elapsed: 0.797 s
% 89.06/13.55 % (3431822)Peak memory usage: 101 MB
% 89.06/13.55 % (3431822)Instructions burned: 910 (million)
% 89.06/13.55 % (3431832)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3714840355:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 89.06/13.55 % (3431832)Instruction limit reached!
% 89.06/13.55 % (3431832)------------------------------
% 89.06/13.55 % (3431832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.06/13.55 % (3431832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.06/13.55 % (3431832)CaDiCaL version: 2.1.3
% 89.06/13.55 % (3431832)Termination reason: Instruction limit
% 89.06/13.55 % (3431832)Termination phase: Saturation
% 89.06/13.55 % (3431832)Time elapsed: 0.110 s
% 89.06/13.55 % (3431832)Peak memory usage: 90 MB
% 89.06/13.55 % (3431832)Instructions burned: 134 (million)
% 89.06/13.55 % (3431833)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1658400751:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 89.06/13.55 % (3431833)Refutation not found, incomplete strategy
% 89.06/13.55 % (3431833)------------------------------
% 89.06/13.55 % (3431833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.06/13.55 % (3431833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.06/13.55 % (3431833)CaDiCaL version: 2.1.3
% 89.06/13.55 % (3431833)Termination reason: Refutation not found, incomplete strategy
% 89.06/13.55 % (3431833)Time elapsed: 0.005 s
% 89.06/13.55 % (3431833)Peak memory usage: 88 MB
% 89.06/13.55 % (3431833)Instructions burned: 4 (million)
% 89.06/13.55 % (3431836)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1937539386:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 89.06/13.55 % (3431833)------------------------------
% 89.06/13.55 % (3431833)------------------------------
% 89.06/13.55 % (3431840)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=2307498987:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 44.46/16.06 % (3431840)Instruction limit reached!
% 44.46/16.06 % (3431840)------------------------------
% 44.46/16.06 % (3431840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.06 % (3431840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.06 % (3431840)CaDiCaL version: 2.1.3
% 44.46/16.06 % (3431840)Termination reason: Instruction limit
% 44.46/16.06 % (3431840)Termination phase: Saturation
% 44.46/16.06 % (3431840)Time elapsed: 0.117 s
% 44.46/16.06 % (3431840)Peak memory usage: 90 MB
% 44.46/16.06 % (3431840)Instructions burned: 125 (million)
% 44.46/16.06 % (3431810)Instruction limit reached!
% 44.46/16.06 % (3431810)------------------------------
% 44.46/16.06 % (3431810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.06 % (3431810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.06 % (3431810)CaDiCaL version: 2.1.3
% 44.46/16.06 % (3431810)Termination reason: Instruction limit
% 44.46/16.06 % (3431810)Termination phase: Saturation
% 44.46/16.06 % (3431810)Time elapsed: 2.480 s
% 44.46/16.06 % (3431810)Peak memory usage: 143 MB
% 44.46/16.06 % (3431810)Instructions burned: 2350 (million)
% 44.46/16.06 % (3431843)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=107198136:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 44.46/16.06 % (3431843)Instruction limit reached!
% 44.46/16.06 % (3431843)------------------------------
% 44.46/16.06 % (3431843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.06 % (3431843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.06 % (3431843)CaDiCaL version: 2.1.3
% 44.46/16.06 % (3431843)Termination reason: Instruction limit
% 44.46/16.06 % (3431843)Termination phase: Saturation
% 44.46/16.06 % (3431843)Time elapsed: 0.129 s
% 44.46/16.06 % (3431843)Peak memory usage: 91 MB
% 44.46/16.06 % (3431843)Instructions burned: 134 (million)
% 44.46/16.06 % (3431845)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2530838017:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 44.46/16.06 % (3431845)Refutation not found, incomplete strategy
% 44.46/16.06 % (3431845)------------------------------
% 44.46/16.06 % (3431845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.06 % (3431845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.06 % (3431845)CaDiCaL version: 2.1.3
% 44.46/16.06 % (3431845)Termination reason: Refutation not found, incomplete strategy
% 44.46/16.06 % (3431845)Time elapsed: 0.004 s
% 44.46/16.06 % (3431845)Peak memory usage: 89 MB
% 44.46/16.06 % (3431845)Instructions burned: 2 (million)
% 44.46/16.06 % (3431847)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3399019549:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2962 on theBenchmark for (2962ds/431Mi)
% 44.46/16.06 % (3431845)------------------------------
% 44.46/16.06 % (3431845)------------------------------
% 44.46/16.06 % (3431847)Instruction limit reached!
% 44.46/16.06 % (3431847)------------------------------
% 44.46/16.06 % (3431847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.06 % (3431847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.06 % (3431847)CaDiCaL version: 2.1.3
% 44.46/16.06 % (3431847)Termination reason: Instruction limit
% 44.46/16.06 % (3431847)Termination phase: Saturation
% 44.46/16.06 % (3431847)Time elapsed: 0.370 s
% 44.46/16.06 % (3431847)Peak memory usage: 93 MB
% 44.46/16.06 % (3431847)Instructions burned: 431 (million)
% 44.46/16.06 % (3431850)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=1868785786:i=6060:aac=none:ins=25_2958 on theBenchmark for (2958ds/6060Mi)
% 44.46/16.06 % (3431851)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=1765043275:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 44.46/16.06 % (3431851)Instruction limit reached!
% 44.46/16.06 % (3431851)------------------------------
% 44.46/16.06 % (3431851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.06 % (3431851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.06 % (3431851)CaDiCaL version: 2.1.3
% 44.46/16.06 % (3431851)Termination reason: Instruction limit
% 44.46/16.06 % (3431851)Termination phase: Saturation
% 44.46/16.06 % (3431851)Time elapsed: 0.133 s
% 44.46/16.06 % (3431851)Peak memory usage: 91 MB
% 44.46/16.06 % (3431851)Instructions burned: 151 (million)
% 44.46/16.06 % (3431854)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=195970298:i=14155:bd=all_2952 on theBenchmark for (2952ds/14155Mi)
% 44.46/16.06 % (3431829)Instruction limit reached!
% 44.46/16.06 % (3431829)------------------------------
% 44.46/16.06 % (3431829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.06 % (3431829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.06 % (3431829)CaDiCaL version: 2.1.3
% 44.46/16.06 % (3431829)Termination reason: Instruction limit
% 44.46/16.06 % (3431829)Termination phase: Saturation
% 44.46/16.06 % (3431829)Time elapsed: 4.213 s
% 44.46/16.06 % (3431829)Peak memory usage: 139 MB
% 44.46/16.06 % (3431829)Instructions burned: 5203 (million)
% 44.46/16.06 % (3431858)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4280602549:i=667:av=off:fsr=off_2939 on theBenchmark for (2939ds/667Mi)
% 44.46/16.07 % (3431858)Instruction limit reached!
% 44.46/16.07 % (3431858)------------------------------
% 44.46/16.07 % (3431858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.07 % (3431858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.07 % (3431858)CaDiCaL version: 2.1.3
% 44.46/16.07 % (3431858)Termination reason: Instruction limit
% 44.46/16.07 % (3431858)Termination phase: Saturation
% 44.46/16.07 % (3431858)Time elapsed: 0.527 s
% 44.46/16.07 % (3431858)Peak memory usage: 97 MB
% 44.46/16.07 % (3431858)Instructions burned: 667 (million)
% 44.46/16.07 % (3431862)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=1809089056:s2a=on:i=185:s2at=1.8:fdi=4_2930 on theBenchmark for (2930ds/185Mi)
% 44.46/16.07 % (3431862)Instruction limit reached!
% 44.46/16.07 % (3431862)------------------------------
% 44.46/16.07 % (3431862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.07 % (3431862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.07 % (3431862)CaDiCaL version: 2.1.3
% 44.46/16.07 % (3431862)Termination reason: Instruction limit
% 44.46/16.07 % (3431862)Termination phase: Saturation
% 44.46/16.07 % (3431862)Time elapsed: 0.195 s
% 44.46/16.07 % (3431862)Peak memory usage: 93 MB
% 44.46/16.07 % (3431862)Instructions burned: 186 (million)
% 44.46/16.07 % (3431864)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=171831362:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2926 on theBenchmark for (2926ds/193Mi)
% 44.46/16.07 % (3431864)Instruction limit reached!
% 44.46/16.07 % (3431864)------------------------------
% 44.46/16.07 % (3431864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.07 % (3431864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.07 % (3431864)CaDiCaL version: 2.1.3
% 44.46/16.07 % (3431864)Termination reason: Instruction limit
% 44.46/16.07 % (3431864)Termination phase: Saturation
% 44.46/16.07 % (3431864)Time elapsed: 0.179 s
% 44.46/16.07 % (3431864)Peak memory usage: 89 MB
% 44.46/16.07 % (3431864)Instructions burned: 194 (million)
% 44.46/16.07 % (3431870)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2614125868:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2921 on theBenchmark for (2921ds/4850Mi)
% 44.46/16.07 % (3431850)Instruction limit reached!
% 44.46/16.07 % (3431850)------------------------------
% 44.46/16.07 % (3431850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.07 % (3431850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.07 % (3431850)CaDiCaL version: 2.1.3
% 44.46/16.07 % (3431850)Termination reason: Instruction limit
% 44.46/16.07 % (3431850)Termination phase: Saturation
% 44.46/16.07 % (3431850)Time elapsed: 6.425 s
% 44.46/16.07 % (3431850)Peak memory usage: 170 MB
% 44.46/16.07 % (3431850)Instructions burned: 6060 (million)
% 44.46/16.07 % (3431875)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3095848173:i=12111:sd=1:ss=included_2891 on theBenchmark for (2891ds/12111Mi)
% 44.46/16.07 % (3431870)Instruction limit reached!
% 44.46/16.07 % (3431870)------------------------------
% 44.46/16.07 % (3431870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.07 % (3431870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.07 % (3431870)CaDiCaL version: 2.1.3
% 44.46/16.07 % (3431870)Termination reason: Instruction limit
% 44.46/16.07 % (3431870)Termination phase: Saturation
% 44.46/16.07 % (3431870)Time elapsed: 4.452 s
% 44.46/16.07 % (3431870)Peak memory usage: 158 MB
% 44.46/16.07 % (3431870)Instructions burned: 4851 (million)
% 44.46/16.07 % (3431882)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3326624105:i=319:kws=precedence:fsr=off_2874 on theBenchmark for (2874ds/319Mi)
% 44.46/16.07 % (3431882)Instruction limit reached!
% 44.46/16.07 % (3431882)------------------------------
% 44.46/16.07 % (3431882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.46/16.07 % (3431882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.46/16.07 % (3431882)CaDiCaL version: 2.1.3
% 44.46/16.07 % (3431882)Termination reason: Instruction limit
% 44.46/16.07 % (3431882)Termination phase: Saturation
% 44.46/16.07 % (3431882)Time elapsed: 0.302 s
% 44.46/16.07 % (3431882)Peak memory usage: 93 MB
% 44.46/16.07 % (3431882)Instructions burned: 319 (million)
% 44.46/16.07 % (3431885)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=40106476:i=2064:ep=RST_2868 on theBenchmark for (2868ds/2064Mi)
% 44.46/16.07 % (3431854)First to succeed.
% 44.46/16.07 % (3431854)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3431781"
% 44.46/16.07 % (3431854)Refutation found. Thanks to Tanya!
% 44.46/16.07 % SZS status Theorem for theBenchmark
% 44.46/16.07 % SZS output start Proof for theBenchmark
% See solution above
% 107.21/16.33 % (3431854)------------------------------
% 107.21/16.33 % (3431854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.21/16.33 % (3431854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.21/16.33 % (3431854)CaDiCaL version: 2.1.3
% 107.21/16.33 % (3431854)Termination reason: Refutation
% 107.21/16.33 % (3431854)Time elapsed: 9.652 s
% 107.21/16.33 % (3431854)Peak memory usage: 219 MB
% 107.21/16.33 % (3431854)Instructions burned: 10334 (million)
% 107.21/16.33 % (3431854)------------------------------
% 107.21/16.33 % (3431854)------------------------------
% 107.21/16.33 % (3431781)Success in time 15.082 s
% 107.21/16.33 % Vampire exiting
%------------------------------------------------------------------------------