%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM019+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:40:09 AM UTC 2026
% Result : Theorem 10.74s 1.80s
% Output : Refutation 10.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 118 ( 25 unt; 0 def)
% Number of atoms : 551 ( 15 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 758 ( 325 ~; 323 |; 86 &)
% ( 12 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 204 ( 187 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( ( sdtmndtasgtdt0(X0,X1,X2)
& sdtmndtasgtdt0(X2,X1,X3) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).
fof(f13,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ~ ? [X3] : aReductOfIn0(X3,X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(f16,axiom,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).
fof(f17,axiom,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2)
& sdtmndtasgtdt0(X0,xR,X1)
& sdtmndtasgtdt0(X0,xR,X2) )
=> ( iLess0(X0,xa)
=> ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).
fof(f20,axiom,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__755) ).
fof(f22,axiom,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(f24,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f25,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f30,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(flattening,[],[f25]) ).
fof(f31,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f33]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(flattening,[],[f39]) ).
fof(f45,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f46,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f47]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(flattening,[],[f51]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(nnf_transformation,[],[f34]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X0,X1)
& sdtmndtplgtdt0(X4,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ( aElement0(sK4(X0,X1,X2))
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(nnf_transformation,[],[f38]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f63]) ).
fof(f73,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X1)
& aElement0(X2) ) )
& ( ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f74,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X1)
& aElement0(X2) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X3)
| ~ aElement0(X4) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ( ~ iLess0(sK14(X0),sK13(X0))
& sdtmndtplgtdt0(sK13(X0),X0,sK14(X0))
& aElement0(sK13(X0))
& aElement0(sK14(X0)) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X3)
| ~ aElement0(X4) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(nnf_transformation,[],[f48]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| aReductOfIn0(sK15(X1,X2),X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X1,X2))],[f78]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( aElement0(sK17(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
& sdtmndtasgtdt0(X2,xR,sK17(X1,X2)) )
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X3,sK17(X1,X2))],[f52]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f84,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK4(X0,X1,X2),X0,X1)
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f87,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f117,plain,
! [X3,X0,X4] :
( ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f122,plain,
! [X2,X0,X1,X4] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f128,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f131,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f132,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X2,xR,sK17(X1,X2)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X1,xR,sK17(X1,X2)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| aElement0(sK17(X1,X2)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f138,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f20]) ).
fof(f139,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f20]) ).
fof(f140,plain,
aElement0(xu),
inference(cnf_transformation,[],[f20]) ).
fof(f145,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f22]) ).
fof(f146,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f147,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f148,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f30]) ).
fof(f171,plain,
! [X0] :
( ~ aReductOfIn0(X0,xd,xR)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f147,f122]) ).
fof(f172,plain,
! [X0] :
( ~ aReductOfIn0(X0,xd,xR)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f171,f146]) ).
fof(f173,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(forward_subsumption_resolution,[],[f172,f127]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(forward_subsumption_resolution,[],[f87,f82]) ).
fof(f292,plain,
( aElement0(xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f124,f147]) ).
fof(f294,plain,
( aElement0(xd)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f292,f146]) ).
fof(f295,plain,
aElement0(xd),
inference(forward_subsumption_resolution,[],[f294,f127]) ).
fof(f307,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f123,f147]) ).
fof(f309,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f307,f146]) ).
fof(f310,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(forward_subsumption_resolution,[],[f309,f127]) ).
fof(f312,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(xa)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f275,f139]) ).
fof(f315,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f312,f132]) ).
fof(f317,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference(forward_subsumption_resolution,[],[f315,f127]) ).
fof(f1880,plain,
( iLess0(xu,xa)
| ~ aElement0(xa)
| ~ aElement0(xu)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f117,f317]) ).
fof(f1964,plain,
( iLess0(xu,xa)
| ~ aElement0(xu)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f1880,f132]) ).
fof(f1979,plain,
( iLess0(xu,xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f1964,f140]) ).
fof(f1991,plain,
( iLess0(xu,xa)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f1979,f128]) ).
fof(f1997,plain,
iLess0(xu,xa),
inference(forward_subsumption_resolution,[],[f1991,f127]) ).
fof(f3652,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aElement0(xd) ),
inference(resolution,[],[f92,f310]) ).
fof(f3665,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ aElement0(xw)
| ~ aElement0(xd) ),
inference(forward_subsumption_resolution,[],[f3652,f127]) ).
fof(f3671,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ aElement0(xd) ),
inference(forward_subsumption_resolution,[],[f3665,f146]) ).
fof(f3677,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f3671,f295]) ).
fof(f4840,plain,
! [X0] :
( aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f84,f173]) ).
fof(f4853,plain,
! [X0] :
( aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f4840,f295]) ).
fof(f4861,plain,
! [X0] :
( aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f4853,f127]) ).
fof(f4868,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f4861,f173]) ).
fof(f21999,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xu) ),
inference(resolution,[],[f3677,f145]) ).
fof(f22011,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(forward_subsumption_resolution,[],[f21999,f140]) ).
fof(f22064,plain,
! [X0] :
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(X0,xR,sK17(X0,xd)) ),
inference(resolution,[],[f22011,f134]) ).
fof(f22065,plain,
! [X0] :
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xd,xR,sK17(X0,xd)) ),
inference(resolution,[],[f22011,f133]) ).
fof(f22067,plain,
! [X0] :
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| aElement0(sK17(X0,xd)) ),
inference(resolution,[],[f22011,f135]) ).
fof(f22075,plain,
! [X0] :
( ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| aElement0(sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f22067,f1997]) ).
fof(f22077,plain,
! [X0] :
( ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xd,xR,sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f22065,f1997]) ).
fof(f22078,plain,
! [X0] :
( ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(X0,xR,sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f22064,f1997]) ).
fof(f22083,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| aElement0(sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f22075,f140]) ).
fof(f22085,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xd,xR,sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f22077,f140]) ).
fof(f22086,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(X0,xR,sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f22078,f140]) ).
fof(f22090,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| aElement0(sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f22083,f295]) ).
fof(f22092,plain,
! [X0] :
( sdtmndtasgtdt0(xd,xR,sK17(X0,xd))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f22085,f295]) ).
fof(f22093,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK17(X0,xd))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f22086,f295]) ).
fof(f32001,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sdtmndtplgtdt0(xd,xR,sK17(X0,xd))
| xd = sK17(X0,xd)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK17(X0,xd)) ),
inference(resolution,[],[f22092,f89]) ).
fof(f32017,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sdtmndtplgtdt0(xd,xR,sK17(X0,xd))
| xd = sK17(X0,xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f32001,f295]) ).
fof(f32023,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sdtmndtplgtdt0(xd,xR,sK17(X0,xd))
| xd = sK17(X0,xd)
| ~ aElement0(sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f32017,f127]) ).
fof(f32029,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| xd = sK17(X0,xd)
| ~ aElement0(sK17(X0,xd)) ),
inference(forward_subsumption_resolution,[],[f32023,f4868]) ).
fof(f32035,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| xd = sK17(X0,xd) ),
inference(forward_subsumption_resolution,[],[f32029,f22090]) ).
fof(f32036,plain,
( ~ aElement0(xb)
| xd = sK17(xb,xd) ),
inference(resolution,[],[f32035,f138]) ).
fof(f32076,plain,
xd = sK17(xb,xd),
inference(forward_subsumption_resolution,[],[f32036,f131]) ).
fof(f32245,plain,
( sdtmndtasgtdt0(xb,xR,xd)
| ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ aElement0(xb) ),
inference(superposition,[],[f22093,f32076]) ).
fof(f32285,plain,
( ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ aElement0(xb) ),
inference(forward_subsumption_resolution,[],[f32245,f148]) ).
fof(f32305,plain,
~ aElement0(xb),
inference(forward_subsumption_resolution,[],[f32285,f138]) ).
fof(f32313,plain,
$false,
inference(forward_subsumption_resolution,[],[f32305,f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 % Computer : n013.cluster.edu
% 0.09/0.25 % Model : x86_64 x86_64
% 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25 % Memory : 8046.5625MB
% 0.09/0.25 % OS : Linux 6.8.0-71-generic
% 0.09/0.25 % CPULimit : 300
% 0.09/0.25 % WCLimit : 300
% 0.09/0.25 % DateTime : Mon Sep 28 21:45:52 UTC 2026
% 0.09/0.26 % CPUTime :
% 0.09/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.75/1.80 % (1612819)Will run a generic schedule for satisfiability detection.
% 8.75/1.80 % (1612830)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2357663704:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.75/1.80 % (1612825)% WARNING: option uhcvi not known.
% 8.75/1.80 % (1612826)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1810008421:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.75/1.80 % (1612824)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2573763327_2999 on theBenchmark for (2999ds/0Mi)
% 8.75/1.80 % (1612825)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3587288866:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.75/1.80 % (1612827)dis+10_1_sil=32000:sp=arity:random_seed=3984066379:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.75/1.80 % (1612828)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3022784932:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.75/1.80 % (1612829)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3442127875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.75/1.80 % TRYING [1]
% 8.75/1.80 % TRYING [2]
% 8.75/1.80 % TRYING [3]
% 8.75/1.80 % TRYING [4]
% 8.75/1.80 % TRYING [5]
% 8.75/1.80 % TRYING [6]
% 8.75/1.80 % (1612830)Instruction limit reached!
% 8.75/1.80 % (1612830)------------------------------
% 8.75/1.80 % (1612830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612830)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612830)Termination reason: Instruction limit
% 8.75/1.80 % (1612830)Termination phase: Saturation
% 8.75/1.80 % (1612830)Time elapsed: 0.086 s
% 8.75/1.80 % (1612830)Peak memory usage: 15 MB
% 8.75/1.80 % (1612830)Instructions burned: 159 (million)
% 8.75/1.80 % (1612828)Instruction limit reached!
% 8.75/1.80 % (1612828)------------------------------
% 8.75/1.80 % (1612828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612828)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612828)Termination reason: Instruction limit
% 8.75/1.80 % (1612828)Termination phase: Saturation
% 8.75/1.80 % (1612828)Time elapsed: 0.091 s
% 8.75/1.80 % (1612828)Peak memory usage: 12 MB
% 8.75/1.80 % (1612828)Instructions burned: 116 (million)
% 8.75/1.80 % (1612838)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3479051759:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.75/1.80 % TRYING [1]
% 8.75/1.80 % TRYING [2]
% 8.75/1.80 % TRYING [3]
% 8.75/1.80 % (1612827)Instruction limit reached!
% 8.75/1.80 % (1612827)------------------------------
% 8.75/1.80 % (1612827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612827)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612827)Termination reason: Instruction limit
% 8.75/1.80 % (1612827)Termination phase: Saturation
% 8.75/1.80 % (1612827)Time elapsed: 0.106 s
% 8.75/1.80 % (1612827)Peak memory usage: 13 MB
% 8.75/1.80 % (1612827)Instructions burned: 103 (million)
% 8.75/1.80 % TRYING [4]
% 8.75/1.80 % (1612839)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1345607638:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.75/1.80 % TRYING [7]
% 8.75/1.80 % (1612829)Instruction limit reached!
% 8.75/1.80 % (1612829)------------------------------
% 8.75/1.80 % (1612829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612829)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612829)Termination reason: Instruction limit
% 8.75/1.80 % (1612829)Termination phase: Saturation
% 8.75/1.80 % (1612829)Time elapsed: 0.122 s
% 8.75/1.80 % (1612829)Peak memory usage: 14 MB
% 8.75/1.80 % (1612829)Instructions burned: 131 (million)
% 8.75/1.80 % (1612841)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1492546061:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.75/1.80 % TRYING [5]
% 8.75/1.80 % (1612843)ott-21_1_sil=16000:fs=off:random_seed=1243346521:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.75/1.80 % TRYING [8]
% 8.75/1.80 % (1612839)Instruction limit reached!
% 8.75/1.80 % (1612839)------------------------------
% 8.75/1.80 % (1612839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612839)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612839)Termination reason: Instruction limit
% 8.75/1.80 % (1612839)Termination phase: Saturation
% 8.75/1.80 % (1612839)Time elapsed: 0.069 s
% 8.75/1.80 % (1612839)Peak memory usage: 14 MB
% 8.75/1.80 % (1612839)Instructions burned: 132 (million)
% 8.75/1.80 % (1612846)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=290694087:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.75/1.80 % TRYING [9]
% 8.75/1.80 % TRYING [6]
% 8.75/1.80 % (1612843)Instruction limit reached!
% 8.75/1.80 % (1612843)------------------------------
% 8.75/1.80 % (1612843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612843)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612843)Termination reason: Instruction limit
% 8.75/1.80 % (1612843)Termination phase: Saturation
% 8.75/1.80 % (1612843)Time elapsed: 0.173 s
% 8.75/1.80 % (1612843)Peak memory usage: 13 MB
% 8.75/1.80 % (1612843)Instructions burned: 180 (million)
% 8.75/1.80 % (1612848)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3279095262:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 8.75/1.80 % TRYING [1]
% 8.75/1.80 % TRYING [2]
% 8.75/1.80 % TRYING [3]
% 8.75/1.80 % TRYING [4]
% 8.75/1.80 % TRYING [5]
% 8.75/1.80 % TRYING [6]
% 8.75/1.80 % TRYING [10]
% 8.75/1.80 % TRYING [7]
% 8.75/1.80 % (1612846)Instruction limit reached!
% 8.75/1.80 % (1612846)------------------------------
% 8.75/1.80 % (1612846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612846)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612846)Termination reason: Instruction limit
% 8.75/1.80 % (1612846)Termination phase: Saturation
% 8.75/1.80 % (1612846)Time elapsed: 0.290 s
% 8.75/1.80 % (1612846)Peak memory usage: 15 MB
% 8.75/1.80 % (1612846)Instructions burned: 478 (million)
% 8.75/1.80 % (1612854)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=361146956:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 8.75/1.80 % TRYING [7]
% 8.75/1.80 % TRYING [8]
% 8.75/1.80 % (1612838)Instruction limit reached!
% 8.75/1.80 % (1612838)------------------------------
% 8.75/1.80 % (1612838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612838)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612838)Termination reason: Instruction limit
% 8.75/1.80 % (1612838)Termination phase: Finite model building constraint generation
% 8.75/1.80 % (1612838)Time elapsed: 0.545 s
% 8.75/1.80 % (1612838)Peak memory usage: 23 MB
% 8.75/1.80 % (1612838)Instructions burned: 714 (million)
% 8.75/1.80 % (1612857)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4196298891:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 8.75/1.80 % TRYING [11]
% 8.75/1.80 % (1612841)Instruction limit reached!
% 8.75/1.80 % (1612841)------------------------------
% 8.75/1.80 % (1612841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612841)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612841)Termination reason: Instruction limit
% 8.75/1.80 % (1612841)Termination phase: Saturation
% 8.75/1.80 % (1612841)Time elapsed: 0.627 s
% 8.75/1.80 % (1612841)Peak memory usage: 21 MB
% 8.75/1.80 % (1612841)Instructions burned: 684 (million)
% 8.75/1.80 % (1612861)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1921699919:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 8.75/1.80 % TRYING [14]
% 8.75/1.80 % TRYING [9]
% 8.75/1.80 % (1612848)Instruction limit reached!
% 8.75/1.80 % (1612848)------------------------------
% 8.75/1.80 % (1612848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612848)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612848)Termination reason: Instruction limit
% 8.75/1.80 % (1612848)Termination phase: Finite model building constraint generation
% 8.75/1.80 % (1612848)Time elapsed: 0.549 s
% 8.75/1.80 % (1612848)Peak memory usage: 19 MB
% 8.75/1.80 % (1612848)Instructions burned: 865 (million)
% 8.75/1.80 % (1612864)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2504675472:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 8.75/1.80 % TRYING [12]
% 8.75/1.80 % (1612854)Instruction limit reached!
% 8.75/1.80 % (1612854)------------------------------
% 8.75/1.80 % (1612854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612854)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612854)Termination reason: Instruction limit
% 8.75/1.80 % (1612854)Termination phase: Saturation
% 8.75/1.80 % (1612854)Time elapsed: 0.577 s
% 8.75/1.80 % (1612854)Peak memory usage: 21 MB
% 8.75/1.80 % (1612854)Instructions burned: 1181 (million)
% 8.75/1.80 % (1612866)fmb+10_1_sil=64000:random_seed=1851635914:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 8.75/1.80 % TRYING [1]
% 8.75/1.80 % TRYING [2]
% 8.75/1.80 % TRYING [3]
% 8.75/1.80 % TRYING [4]
% 8.75/1.80 % TRYING [5]
% 8.75/1.80 % TRYING [6]
% 8.75/1.80 % TRYING [7]
% 8.75/1.80 % TRYING [8]
% 8.75/1.80 % TRYING [9]
% 8.75/1.80 % (1612857)Instruction limit reached!
% 8.75/1.80 % (1612857)------------------------------
% 8.75/1.80 % (1612857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612857)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612857)Termination reason: Instruction limit
% 8.75/1.80 % (1612857)Termination phase: Finite model building SAT solving
% 8.75/1.80 % (1612857)Time elapsed: 0.721 s
% 8.75/1.80 % (1612857)Peak memory usage: 50 MB
% 8.75/1.80 % (1612857)Instructions burned: 890 (million)
% 8.75/1.80 % TRYING [13]
% 8.75/1.80 % (1612869)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1232041247:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 8.75/1.80 % TRYING [20]
% 8.75/1.80 % (1612826) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1612819-1612826"...
% 8.75/1.80 % (1612861)Instruction limit reached!
% 8.75/1.80 % (1612861)------------------------------
% 8.75/1.80 % (1612861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.75/1.80 % (1612861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/1.80 % (1612861)CaDiCaL version: 2.1.3
% 8.75/1.80 % (1612861)Termination reason: Instruction limit
% 10.74/1.80 % (1612861)Termination phase: Saturation
% 10.74/1.80 % (1612861)Time elapsed: 0.641 s
% 10.74/1.80 % (1612861)Peak memory usage: 18 MB
% 10.74/1.80 % (1612861)Instructions burned: 692 (million)
% 10.74/1.80 % (1612826)...printing done.
% 10.74/1.80 % (1612826)Refutation found. Thanks to Tanya!
% 10.74/1.80 % SZS status Theorem for theBenchmark
% 10.74/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 10.74/1.80 % (1612826)------------------------------
% 10.74/1.80 % (1612826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.74/1.80 % (1612826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/1.80 % (1612826)CaDiCaL version: 2.1.3
% 10.74/1.80 % (1612826)Termination reason: Refutation
% 10.74/1.80 % (1612826)Time elapsed: 1.449 s
% 10.74/1.80 % (1612826)Peak memory usage: 22 MB
% 10.74/1.80 % (1612826)Instructions burned: 1363 (million)
% 10.74/1.80 % (1612819)Success in time 1.497 s
% 10.74/1.80 % Vampire exiting
%------------------------------------------------------------------------------