%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM019+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:39:24 AM UTC 2026
% Result : Theorem 2.47s 0.91s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 14
% Syntax : Number of formulae : 119 ( 25 unt; 0 def)
% Number of atoms : 555 ( 16 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 763 ( 327 ~; 326 |; 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 : 203 ( 186 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f16,axiom,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f17,axiom,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',m__715) ).
fof(f20,axiom,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
fof(f22,axiom,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f24,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f25,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(flattening,[],[f25]) ).
fof(f31,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(f32,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,[],[f31]) ).
fof(f37,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
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(f41,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(f42,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f41]) ).
fof(f45,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(f46,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,[],[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(f49,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f49]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( aElement0(sK2(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK2(X1,X2))
& sdtmndtasgtdt0(X2,xR,sK2(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,[sK2]),skolemize(X3,sK2(X1,X2))],[f32]) ).
fof(f60,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,[],[f38]) ).
fof(f61,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,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ( ~ iLess0(sK9(X0),sK8(X0))
& sdtmndtplgtdt0(sK8(X0),X0,sK9(X0))
& aElement0(sK8(X0))
& aElement0(sK9(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,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[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,[],[f42]) ).
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(f65,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,[],[f46]) ).
fof(f66,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,[],[f65]) ).
fof(f67,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,[],[f66]) ).
fof(f68,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(sK10(X0,X1,X2))
& aReductOfIn0(sK10(X0,X1,X2),X0,X1)
& sdtmndtplgtdt0(sK10(X0,X1,X2),X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X4,sK10(X0,X1,X2))],[f67]) ).
fof(f69,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(f70,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,[],[f69]) ).
fof(f71,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,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| aReductOfIn0(sK11(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,[sK11]),skolemize(X3,sK11(X1,X2))],[f71]) ).
fof(f73,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f74,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f77,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f78,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X2,xR,sK2(X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X1,xR,sK2(X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| aElement0(sK2(X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f84,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f20]) ).
fof(f85,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f20]) ).
fof(f86,plain,
aElement0(xu),
inference(cnf_transformation,[],[f20]) ).
fof(f91,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f22]) ).
fof(f92,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f93,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f94,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f26]) ).
fof(f108,plain,
! [X3,X0,X4] :
( ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f113,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(f114,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(f119,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK10(X0,X1,X2),X0,X1)
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f122,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(forward_subsumption_resolution,[],[f122,f127]) ).
fof(f136,plain,
( aElement0(xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f125,f93]) ).
fof(f137,plain,
( aElement0(xd)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f136,f92]) ).
fof(f138,plain,
aElement0(xd),
inference(forward_subsumption_resolution,[],[f137,f73]) ).
fof(f145,plain,
! [X0] :
( ~ aReductOfIn0(X0,xd,xR)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f123,f93]) ).
fof(f148,plain,
! [X0] :
( ~ aReductOfIn0(X0,xd,xR)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f145,f92]) ).
fof(f149,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(forward_subsumption_resolution,[],[f148,f73]) ).
fof(f150,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f124,f93]) ).
fof(f153,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f150,f92]) ).
fof(f154,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(forward_subsumption_resolution,[],[f153,f73]) ).
fof(f155,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(xa)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f131,f85]) ).
fof(f162,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f155,f78]) ).
fof(f164,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference(forward_subsumption_resolution,[],[f162,f73]) ).
fof(f190,plain,
( iLess0(xu,xa)
| ~ aElement0(xa)
| ~ aElement0(xu)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f108,f164]) ).
fof(f195,plain,
( iLess0(xu,xa)
| ~ aElement0(xu)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f190,f78]) ).
fof(f199,plain,
( iLess0(xu,xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f195,f86]) ).
fof(f203,plain,
( iLess0(xu,xa)
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f199,f74]) ).
fof(f207,plain,
iLess0(xu,xa),
inference(forward_subsumption_resolution,[],[f203,f73]) ).
fof(f317,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw)
| ~ aElement0(xd) ),
inference(resolution,[],[f113,f154]) ).
fof(f320,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ aElement0(xw)
| ~ aElement0(xd) ),
inference(forward_subsumption_resolution,[],[f317,f73]) ).
fof(f326,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ aElement0(xd) ),
inference(forward_subsumption_resolution,[],[f320,f92]) ).
fof(f332,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f326,f138]) ).
fof(f478,plain,
! [X0] :
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| aElement0(sK2(X0,xb)) ),
inference(resolution,[],[f81,f84]) ).
fof(f490,plain,
! [X0] :
( ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| aElement0(sK2(X0,xb)) ),
inference(forward_subsumption_resolution,[],[f478,f207]) ).
fof(f496,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| aElement0(sK2(X0,xb)) ),
inference(forward_subsumption_resolution,[],[f490,f86]) ).
fof(f502,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| aElement0(sK2(X0,xb)) ),
inference(forward_subsumption_resolution,[],[f496,f77]) ).
fof(f546,plain,
! [X0] :
( aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f119,f149]) ).
fof(f550,plain,
! [X0] :
( aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f546,f138]) ).
fof(f552,plain,
! [X0] :
( aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f550,f73]) ).
fof(f554,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f552,f149]) ).
fof(f556,plain,
! [X0] :
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xb,xR,sK2(X0,xb)) ),
inference(resolution,[],[f79,f84]) ).
fof(f568,plain,
! [X0] :
( ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xb,xR,sK2(X0,xb)) ),
inference(forward_subsumption_resolution,[],[f556,f207]) ).
fof(f573,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xb,xR,sK2(X0,xb)) ),
inference(forward_subsumption_resolution,[],[f568,f86]) ).
fof(f578,plain,
! [X0] :
( sdtmndtasgtdt0(xb,xR,sK2(X0,xb))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f573,f77]) ).
fof(f598,plain,
! [X0] :
( ~ iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(X0,xR,sK2(X0,xb)) ),
inference(resolution,[],[f80,f84]) ).
fof(f610,plain,
! [X0] :
( ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(X0,xR,sK2(X0,xb)) ),
inference(forward_subsumption_resolution,[],[f598,f207]) ).
fof(f615,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(X0,xR,sK2(X0,xb)) ),
inference(forward_subsumption_resolution,[],[f610,f86]) ).
fof(f620,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK2(X0,xb))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f615,f77]) ).
fof(f967,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sdtmndtplgtdt0(X0,xR,sK2(X0,xb))
| sK2(X0,xb) = X0
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK2(X0,xb)) ),
inference(resolution,[],[f620,f114]) ).
fof(f972,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sdtmndtplgtdt0(X0,xR,sK2(X0,xb))
| sK2(X0,xb) = X0
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK2(X0,xb)) ),
inference(duplicate_literal_removal,[],[f967]) ).
fof(f982,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sdtmndtplgtdt0(X0,xR,sK2(X0,xb))
| sK2(X0,xb) = X0
| ~ aRewritingSystem0(xR) ),
inference(forward_subsumption_resolution,[],[f972,f502]) ).
fof(f991,plain,
! [X0] :
( sdtmndtplgtdt0(X0,xR,sK2(X0,xb))
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sK2(X0,xb) = X0 ),
inference(forward_subsumption_resolution,[],[f982,f73]) ).
fof(f2721,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xu) ),
inference(resolution,[],[f332,f91]) ).
fof(f2729,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(forward_subsumption_resolution,[],[f2721,f86]) ).
fof(f4221,plain,
( ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,xd)
| xd = sK2(xd,xb)
| ~ aElement0(sK2(xd,xb)) ),
inference(resolution,[],[f991,f554]) ).
fof(f4227,plain,
( ~ aElement0(xd)
| ~ sdtmndtasgtdt0(xu,xR,xd)
| xd = sK2(xd,xb) ),
inference(forward_subsumption_resolution,[],[f4221,f502]) ).
fof(f4233,plain,
( ~ sdtmndtasgtdt0(xu,xR,xd)
| xd = sK2(xd,xb) ),
inference(forward_subsumption_resolution,[],[f4227,f138]) ).
fof(f4238,plain,
xd = sK2(xd,xb),
inference(forward_subsumption_resolution,[],[f4233,f2729]) ).
fof(f4245,plain,
( sdtmndtasgtdt0(xb,xR,xd)
| ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xd) ),
inference(superposition,[],[f578,f4238]) ).
fof(f4248,plain,
( ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xd) ),
inference(forward_subsumption_resolution,[],[f4245,f94]) ).
fof(f4251,plain,
~ aElement0(xd),
inference(forward_subsumption_resolution,[],[f4248,f2729]) ).
fof(f4254,plain,
$false,
inference(forward_subsumption_resolution,[],[f4251,f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n007.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 21:44:26 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/0.91 % (2882310)Detected formulas, will run a generic FOF schedule.
% 2.47/0.91 % (2882321)dis-21_1_sil=8000:lcm=predicate:random_seed=1649182569: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)
% 2.47/0.91 % (2882320)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1356560921:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.47/0.91 % (2882318)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3432685593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.47/0.91 % (2882315)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=3828037706:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.47/0.91 % (2882317)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=3736512436:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.47/0.91 % (2882319)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2027208494:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.47/0.91 % (2882316)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=2989883360:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.47/0.91 % (2882321)Instruction limit reached!
% 2.47/0.91 % (2882321)------------------------------
% 2.47/0.91 % (2882321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.91 % (2882321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.91 % (2882321)CaDiCaL version: 2.1.3
% 2.47/0.91 % (2882321)Termination reason: Instruction limit
% 2.47/0.91 % (2882321)Termination phase: Saturation
% 2.47/0.91 % (2882321)Time elapsed: 0.041 s
% 2.47/0.91 % (2882321)Peak memory usage: 90 MB
% 2.47/0.91 % (2882321)Instructions burned: 132 (million)
% 2.47/0.91 % (2882318)Instruction limit reached!
% 2.47/0.91 % (2882318)------------------------------
% 2.47/0.91 % (2882318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.91 % (2882318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.91 % (2882318)CaDiCaL version: 2.1.3
% 2.47/0.91 % (2882318)Termination reason: Instruction limit
% 2.47/0.91 % (2882318)Termination phase: Saturation
% 2.47/0.91 % (2882318)Time elapsed: 0.054 s
% 2.47/0.91 % (2882318)Peak memory usage: 89 MB
% 2.47/0.91 % (2882318)Instructions burned: 109 (million)
% 2.47/0.91 % (2882319)Instruction limit reached!
% 2.47/0.91 % (2882319)------------------------------
% 2.47/0.91 % (2882319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.91 % (2882319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.91 % (2882319)CaDiCaL version: 2.1.3
% 2.47/0.91 % (2882319)Termination reason: Instruction limit
% 2.47/0.91 % (2882319)Termination phase: Saturation
% 2.47/0.91 % (2882319)Time elapsed: 0.069 s
% 2.47/0.91 % (2882319)Peak memory usage: 88 MB
% 2.47/0.91 % (2882319)Instructions burned: 121 (million)
% 2.47/0.91 % (2882320)Instruction limit reached!
% 2.47/0.91 % (2882320)------------------------------
% 2.47/0.91 % (2882320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.91 % (2882320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.91 % (2882320)CaDiCaL version: 2.1.3
% 2.47/0.91 % (2882320)Termination reason: Instruction limit
% 2.47/0.91 % (2882320)Termination phase: Saturation
% 2.47/0.91 % (2882320)Time elapsed: 0.095 s
% 2.47/0.91 % (2882320)Peak memory usage: 90 MB
% 2.47/0.91 % (2882320)Instructions burned: 139 (million)
% 2.47/0.91 % (2882329)lrs+10_1_sil=8000:sp=occurrence:random_seed=3687300488:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.47/0.91 % (2882329)First to succeed.
% 2.47/0.91 % (2882329)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2882310"
% 2.47/0.91 % (2882330)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4077086606:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.47/0.91 % (2882330)Refutation not found, incomplete strategy
% 2.47/0.91 % (2882330)------------------------------
% 2.47/0.91 % (2882330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/0.91 % (2882330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.91 % (2882330)CaDiCaL version: 2.1.3
% 2.47/0.91 % (2882330)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.91 % (2882330)Time elapsed: 0.001 s
% 2.47/0.91 % (2882330)Peak memory usage: 88 MB
% 2.47/0.91 % (2882331)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4058226898:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.47/0.91 % (2882332)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=3694815364:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 2.47/0.91 % (2882329)Refutation found. Thanks to Tanya!
% 2.47/0.91 % SZS status Theorem for theBenchmark
% 2.47/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.11 % (2882329)------------------------------
% 3.70/1.11 % (2882329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.11 % (2882329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.11 % (2882329)CaDiCaL version: 2.1.3
% 3.70/1.11 % (2882329)Termination reason: Refutation
% 3.70/1.11 % (2882329)Time elapsed: 0.046 s
% 3.70/1.11 % (2882329)Peak memory usage: 90 MB
% 3.70/1.11 % (2882329)Instructions burned: 130 (million)
% 3.70/1.11 % (2882329)------------------------------
% 3.70/1.11 % (2882329)------------------------------
% 3.70/1.11 % (2882310)Success in time 0.465 s
% 3.70/1.11 % Vampire exiting
%------------------------------------------------------------------------------