%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 09:40:09 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 8 unt; 2 def)
% Number of atoms : 415 ( 28 equ)
% Maximal formula atoms : 30 ( 8 avg)
% Number of connectives : 535 ( 168 ~; 184 |; 177 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 104 ( 74 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
( ! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2)
& aReductOfIn0(X1,X0,xR)
& aReductOfIn0(X2,X0,xR) )
=> ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3) ) )
& isLocallyConfluent0(xR)
& ! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( aReductOfIn0(X1,X0,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X0,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(X0,xR,X1) )
=> iLess0(X1,X0) ) )
& 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(f20,axiom,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xu,xR)
& sdtmndtplgtdt0(X0,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
fof(f21,axiom,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( xv = xc
| ( ( aReductOfIn0(xc,xv,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xv,xR)
& sdtmndtplgtdt0(X0,xR,xc) ) )
& sdtmndtplgtdt0(xv,xR,xc) ) )
& sdtmndtasgtdt0(xv,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__779) ).
fof(f22,conjecture,
? [X0] :
( aElement0(X0)
& ( xu = X0
| aReductOfIn0(X0,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xu,xR,X0) )
& ( xv = X0
| aReductOfIn0(X0,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xv,xR,X0)
| sdtmndtasgtdt0(xv,xR,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f23,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& ( xu = X0
| aReductOfIn0(X0,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xu,xR,X0) )
& ( xv = X0
| aReductOfIn0(X0,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xv,xR,X0)
| sdtmndtasgtdt0(xv,xR,X0) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f28,plain,
( ! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2)
& aReductOfIn0(X1,X0,xR)
& aReductOfIn0(X2,X0,xR) )
=> ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3) ) )
& isLocallyConfluent0(xR)
& ! [X6,X7] :
( ( aElement0(X6)
& aElement0(X7) )
=> ( ( aReductOfIn0(X7,X6,xR)
| ? [X8] :
( aElement0(X8)
& aReductOfIn0(X8,X6,xR)
& sdtmndtplgtdt0(X8,xR,X7) )
| sdtmndtplgtdt0(X6,xR,X7) )
=> iLess0(X7,X6) ) )
& isTerminating0(xR) ),
inference(rectify,[],[f16]) ).
fof(f31,plain,
~ ? [X0] :
( aElement0(X0)
& ( xu = X0
| aReductOfIn0(X0,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xu,xR,X0)
| sdtmndtasgtdt0(xu,xR,X0) )
& ( xv = X0
| aReductOfIn0(X0,xv,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xv,xR)
& sdtmndtplgtdt0(X2,xR,X0) )
| sdtmndtplgtdt0(xv,xR,X0)
| sdtmndtasgtdt0(xv,xR,X0) ) ),
inference(rectify,[],[f23]) ).
fof(f52,plain,
( ! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aReductOfIn0(X2,X0,xR) )
& isLocallyConfluent0(xR)
& ! [X6,X7] :
( iLess0(X7,X6)
| ( ~ aReductOfIn0(X7,X6,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7) )
& ~ sdtmndtplgtdt0(X6,xR,X7) )
| ~ aElement0(X6)
| ~ aElement0(X7) )
& isTerminating0(xR) ),
inference(ennf_transformation,[],[f28]) ).
fof(f53,plain,
( ! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aReductOfIn0(X2,X0,xR) )
& isLocallyConfluent0(xR)
& ! [X6,X7] :
( iLess0(X7,X6)
| ( ~ aReductOfIn0(X7,X6,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7) )
& ~ sdtmndtplgtdt0(X6,xR,X7) )
| ~ aElement0(X6)
| ~ aElement0(X7) )
& isTerminating0(xR) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0] :
( ~ aElement0(X0)
| ( xu != X0
& ~ aReductOfIn0(X0,xu,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0) )
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ~ sdtmndtasgtdt0(xu,xR,X0) )
| ( xv != X0
& ~ aReductOfIn0(X0,xv,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xv,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ~ sdtmndtasgtdt0(xv,xR,X0) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f63,definition,
! [X3,X2] :
( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) )
| ~ sP4(X3,X2) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f64,plain,
( ! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& sP4(X3,X2)
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aReductOfIn0(X2,X0,xR) )
& isLocallyConfluent0(xR)
& ! [X6,X7] :
( iLess0(X7,X6)
| ( ~ aReductOfIn0(X7,X6,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7) )
& ~ sdtmndtplgtdt0(X6,xR,X7) )
| ~ aElement0(X6)
| ~ aElement0(X7) )
& isTerminating0(xR) ),
inference(definition_folding,[],[f53,f63]) ).
fof(f69,definition,
! [X0] :
( ( xv != X0
& ~ aReductOfIn0(X0,xv,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xv,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ~ sdtmndtasgtdt0(xv,xR,X0) )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f70,plain,
! [X0] :
( ~ aElement0(X0)
| ( xu != X0
& ~ aReductOfIn0(X0,xu,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0) )
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ~ sdtmndtasgtdt0(xu,xR,X0) )
| sP8(X0) ),
inference(definition_folding,[],[f56,f69]) ).
fof(f96,plain,
( ! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& sP4(X3,X2)
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aReductOfIn0(X2,X0,xR) )
& isLocallyConfluent0(xR)
& ! [X5,X6] :
( iLess0(X6,X5)
| ( ~ aReductOfIn0(X6,X5,xR)
& ! [X7] :
( ~ aElement0(X7)
| ~ aReductOfIn0(X7,X5,xR)
| ~ sdtmndtplgtdt0(X7,xR,X6) )
& ~ sdtmndtplgtdt0(X5,xR,X6) )
| ~ aElement0(X5)
| ~ aElement0(X6) )
& isTerminating0(xR) ),
inference(rectify,[],[f64]) ).
fof(f97,plain,
( ! [X0,X1,X2] :
( ( aElement0(sK23(X1,X2))
& ( sK23(X1,X2) = X1
| ( ( aReductOfIn0(sK23(X1,X2),X1,xR)
| ( aElement0(sK24(X1,X2))
& aReductOfIn0(sK24(X1,X2),X1,xR)
& sdtmndtplgtdt0(sK24(X1,X2),xR,sK23(X1,X2)) ) )
& sdtmndtplgtdt0(X1,xR,sK23(X1,X2)) ) )
& sdtmndtasgtdt0(X1,xR,sK23(X1,X2))
& sP4(sK23(X1,X2),X2)
& sdtmndtasgtdt0(X2,xR,sK23(X1,X2)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aReductOfIn0(X2,X0,xR) )
& isLocallyConfluent0(xR)
& ! [X5,X6] :
( iLess0(X6,X5)
| ( ~ aReductOfIn0(X6,X5,xR)
& ! [X7] :
( ~ aElement0(X7)
| ~ aReductOfIn0(X7,X5,xR)
| ~ sdtmndtplgtdt0(X7,xR,X6) )
& ~ sdtmndtplgtdt0(X5,xR,X6) )
| ~ aElement0(X5)
| ~ aElement0(X6) )
& isTerminating0(xR) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X3,sK23(X1,X2)),skolemize(X4,sK24(X1,X2))],[f96]) ).
fof(f107,plain,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ( aElement0(sK30)
& aReductOfIn0(sK30,xu,xR)
& sdtmndtplgtdt0(sK30,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X0,sK30)],[f20]) ).
fof(f108,plain,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( xv = xc
| ( ( aReductOfIn0(xc,xv,xR)
| ( aElement0(sK31)
& aReductOfIn0(sK31,xv,xR)
& sdtmndtplgtdt0(sK31,xR,xc) ) )
& sdtmndtplgtdt0(xv,xR,xc) ) )
& sdtmndtasgtdt0(xv,xR,xc) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f21]) ).
fof(f109,plain,
! [X0] :
( ( xv != X0
& ~ aReductOfIn0(X0,xv,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xv,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ~ sdtmndtasgtdt0(xv,xR,X0) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f69]) ).
fof(f110,plain,
! [X0] :
( ( xv != X0
& ~ aReductOfIn0(X0,xv,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xv,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0) )
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ~ sdtmndtasgtdt0(xv,xR,X0) )
| ~ sP8(X0) ),
inference(rectify,[],[f109]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| sdtmndtasgtdt0(X2,xR,sK23(X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| sdtmndtasgtdt0(X1,xR,sK23(X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X0,xR)
| aElement0(sK23(X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f176,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f212,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f107]) ).
fof(f213,plain,
aElement0(xu),
inference(cnf_transformation,[],[f107]) ).
fof(f219,plain,
aReductOfIn0(xv,xa,xR),
inference(cnf_transformation,[],[f108]) ).
fof(f220,plain,
aElement0(xv),
inference(cnf_transformation,[],[f108]) ).
fof(f221,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xv,xR,X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f226,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f402,plain,
! [X0] :
( ~ aElement0(xa)
| ~ aElement0(X0)
| ~ aElement0(xv)
| ~ aReductOfIn0(X0,xa,xR)
| aElement0(sK23(X0,xv)) ),
inference(resolution,[],[f173,f219]) ).
fof(f403,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xv)
| ~ aReductOfIn0(X0,xa,xR)
| aElement0(sK23(X0,xv)) ),
inference(forward_subsumption_resolution,[],[f402,f176]) ).
fof(f405,plain,
! [X0] :
( ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0)
| aElement0(sK23(X0,xv)) ),
inference(forward_subsumption_resolution,[],[f403,f220]) ).
fof(f435,plain,
! [X0] :
( ~ aElement0(xa)
| ~ aElement0(X0)
| ~ aElement0(xv)
| ~ aReductOfIn0(X0,xa,xR)
| sdtmndtasgtdt0(xv,xR,sK23(X0,xv)) ),
inference(resolution,[],[f166,f219]) ).
fof(f436,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xv)
| ~ aReductOfIn0(X0,xa,xR)
| sdtmndtasgtdt0(xv,xR,sK23(X0,xv)) ),
inference(forward_subsumption_resolution,[],[f435,f176]) ).
fof(f438,plain,
! [X0] :
( sdtmndtasgtdt0(xv,xR,sK23(X0,xv))
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f436,f220]) ).
fof(f448,plain,
! [X0] :
( ~ aElement0(xa)
| ~ aElement0(X0)
| ~ aElement0(xv)
| ~ aReductOfIn0(X0,xa,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,xv)) ),
inference(resolution,[],[f168,f219]) ).
fof(f449,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xv)
| ~ aReductOfIn0(X0,xa,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,xv)) ),
inference(forward_subsumption_resolution,[],[f448,f176]) ).
fof(f451,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK23(X0,xv))
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f449,f220]) ).
fof(f502,plain,
( ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xu)
| ~ aElement0(sK23(xu,xv))
| sP8(sK23(xu,xv)) ),
inference(resolution,[],[f451,f226]) ).
fof(f503,plain,
( ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xu)
| sP8(sK23(xu,xv)) ),
inference(forward_subsumption_resolution,[],[f502,f405]) ).
fof(f504,plain,
( ~ aElement0(xu)
| sP8(sK23(xu,xv)) ),
inference(forward_subsumption_resolution,[],[f503,f212]) ).
fof(f505,plain,
sP8(sK23(xu,xv)),
inference(forward_subsumption_resolution,[],[f504,f213]) ).
fof(f523,plain,
! [X0] :
( ~ sP8(sK23(X0,xv))
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(resolution,[],[f438,f221]) ).
fof(f528,plain,
( ~ aElement0(xu)
| ~ aReductOfIn0(xu,xa,xR) ),
inference(resolution,[],[f523,f505]) ).
fof(f529,plain,
~ aReductOfIn0(xu,xa,xR),
inference(forward_subsumption_resolution,[],[f528,f213]) ).
fof(f530,plain,
$false,
inference(forward_subsumption_resolution,[],[f529,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n007.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:43:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.29 % (2881476)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (2881484)dis+10_1_sil=32000:sp=arity:random_seed=679727777:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (2881482)% WARNING: option uhcvi not known.
% 0.20/0.29 % (2881481)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2320417651_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (2881482)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1575529523:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (2881483)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1043486746:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (2881485)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1077319455:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (2881486)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=809793865:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (2881487)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2886416950:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (2881483) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2881476-2881483"...
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % (2881483)...printing done.
% 0.20/0.29 % (2881483)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (2881483)------------------------------
% 0.20/0.29 % (2881483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (2881483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (2881483)CaDiCaL version: 2.1.3
% 0.20/0.29 % (2881483)Termination reason: Refutation
% 0.20/0.29 % (2881483)Time elapsed: 0.011 s
% 0.20/0.29 % (2881483)Peak memory usage: 12 MB
% 0.20/0.29 % (2881483)Instructions burned: 15 (million)
% 0.20/0.29 % (2881476)Success in time 0.05 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------