%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM020+4 : 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 09:39:25 AM UTC 2026
% Result : Theorem 4.67s 1.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 93 ( 21 unt; 5 def)
% Number of atoms : 730 ( 62 equ)
% Maximal formula atoms : 33 ( 7 avg)
% Number of connectives : 882 ( 245 ~; 292 |; 331 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 3 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 124 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
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(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
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(f18,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2)
& ( X0 = X1
| aReductOfIn0(X1,X0,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,xR)
& sdtmndtplgtdt0(X3,xR,X1) )
| sdtmndtplgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X0,xR,X1) )
& ( X0 = X2
| aReductOfIn0(X2,X0,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X0,xR,X2)
| sdtmndtasgtdt0(X0,xR,X2) ) )
=> ( iLess0(X0,xa)
=> ? [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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
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(f22,axiom,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xu,xR)
& sdtmndtplgtdt0(X0,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xv,xR)
& sdtmndtplgtdt0(X0,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f23,axiom,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xw,xR)
& sdtmndtplgtdt0(X0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X0] : aReductOfIn0(X0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f24,conjecture,
? [X0] :
( aElement0(X0)
& ( xb = X0
| aReductOfIn0(X0,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xb,xR,X0)
| sdtmndtasgtdt0(xb,xR,X0) )
& ( xd = X0
| aReductOfIn0(X0,xd,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xd,xR,X0)
| sdtmndtasgtdt0(xd,xR,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f25,negated_conjecture,
~ ? [X0] :
( aElement0(X0)
& ( xb = X0
| aReductOfIn0(X0,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xb,xR,X0)
| sdtmndtasgtdt0(xb,xR,X0) )
& ( xd = X0
| aReductOfIn0(X0,xd,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xd,xR,X0)
| sdtmndtasgtdt0(xd,xR,X0) ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f30,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,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2)
& ( X0 = X1
| aReductOfIn0(X1,X0,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,xR)
& sdtmndtplgtdt0(X3,xR,X1) )
| sdtmndtplgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X0,xR,X1) )
& ( X0 = X2
| aReductOfIn0(X2,X0,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X0,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X0,xR,X2)
| sdtmndtasgtdt0(X0,xR,X2) ) )
=> ( iLess0(X0,xa)
=> ? [X5] :
( aElement0(X5)
& ( X1 = X5
| ( ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X1,xR)
& sdtmndtplgtdt0(X6,xR,X5) ) )
& sdtmndtplgtdt0(X1,xR,X5) ) )
& sdtmndtasgtdt0(X1,xR,X5)
& ( X2 = X5
| ( ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X2,xR)
& sdtmndtplgtdt0(X7,xR,X5) ) )
& sdtmndtplgtdt0(X2,xR,X5) ) )
& sdtmndtasgtdt0(X2,xR,X5) ) ) ),
inference(rectify,[],[f18]) ).
fof(f33,plain,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xu,xR)
& sdtmndtplgtdt0(X0,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(rectify,[],[f22]) ).
fof(f34,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xw,xR)
& sdtmndtplgtdt0(X0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X1] : aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(rectify,[],[f23]) ).
fof(f35,plain,
~ ? [X0] :
( aElement0(X0)
& ( xb = X0
| aReductOfIn0(X0,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,X0) )
| sdtmndtplgtdt0(xb,xR,X0)
| sdtmndtasgtdt0(xb,xR,X0) )
& ( xd = X0
| aReductOfIn0(X0,xd,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xd,xR)
& sdtmndtplgtdt0(X2,xR,X0) )
| sdtmndtplgtdt0(xd,xR,X0)
| sdtmndtasgtdt0(xd,xR,X0) ) ),
inference(rectify,[],[f25]) ).
fof(f44,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(f45,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,[],[f44]) ).
fof(f56,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,[],[f30]) ).
fof(f57,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,[],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ? [X5] :
( aElement0(X5)
& ( X1 = X5
| ( ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X1,xR)
& sdtmndtplgtdt0(X6,xR,X5) ) )
& sdtmndtplgtdt0(X1,xR,X5) ) )
& sdtmndtasgtdt0(X1,xR,X5)
& ( X2 = X5
| ( ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X2,xR)
& sdtmndtplgtdt0(X7,xR,X5) ) )
& sdtmndtplgtdt0(X2,xR,X5) ) )
& sdtmndtasgtdt0(X2,xR,X5) )
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ( X0 != X1
& ~ aReductOfIn0(X1,X0,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,xR)
| ~ sdtmndtplgtdt0(X3,xR,X1) )
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ~ sdtmndtasgtdt0(X0,xR,X1) )
| ( X0 != X2
& ~ aReductOfIn0(X2,X0,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X0,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ~ sdtmndtasgtdt0(X0,xR,X2) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ? [X5] :
( aElement0(X5)
& ( X1 = X5
| ( ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X1,xR)
& sdtmndtplgtdt0(X6,xR,X5) ) )
& sdtmndtplgtdt0(X1,xR,X5) ) )
& sdtmndtasgtdt0(X1,xR,X5)
& ( X2 = X5
| ( ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X2,xR)
& sdtmndtplgtdt0(X7,xR,X5) ) )
& sdtmndtplgtdt0(X2,xR,X5) ) )
& sdtmndtasgtdt0(X2,xR,X5) )
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ( X0 != X1
& ~ aReductOfIn0(X1,X0,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,xR)
| ~ sdtmndtplgtdt0(X3,xR,X1) )
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ~ sdtmndtasgtdt0(X0,xR,X1) )
| ( X0 != X2
& ~ aReductOfIn0(X2,X0,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X0,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ~ sdtmndtasgtdt0(X0,xR,X2) ) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xw,xR)
& sdtmndtplgtdt0(X0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X1] : ~ aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(ennf_transformation,[],[f34]) ).
fof(f61,plain,
! [X0] :
( ~ aElement0(X0)
| ( xb != X0
& ~ aReductOfIn0(X0,xb,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xb,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0) )
& ~ sdtmndtplgtdt0(xb,xR,X0)
& ~ sdtmndtasgtdt0(xb,xR,X0) )
| ( xd != X0
& ~ aReductOfIn0(X0,xd,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xd,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ sdtmndtasgtdt0(xd,xR,X0) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f62,definition,
! [X1,X2] :
( ? [X5] :
( aElement0(X5)
& ( X1 = X5
| ( ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X1,xR)
& sdtmndtplgtdt0(X6,xR,X5) ) )
& sdtmndtplgtdt0(X1,xR,X5) ) )
& sdtmndtasgtdt0(X1,xR,X5)
& ( X2 = X5
| ( ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X2,xR)
& sdtmndtplgtdt0(X7,xR,X5) ) )
& sdtmndtplgtdt0(X2,xR,X5) ) )
& sdtmndtasgtdt0(X2,xR,X5) )
| ~ sP0(X1,X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f63,definition,
! [X2,X0] :
( ( X0 != X2
& ~ aReductOfIn0(X2,X0,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X0,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ~ sdtmndtasgtdt0(X0,xR,X2) )
| ~ sP1(X2,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f64,plain,
! [X0,X1,X2] :
( sP0(X1,X2)
| ~ iLess0(X0,xa)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ( X0 != X1
& ~ aReductOfIn0(X1,X0,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,xR)
| ~ sdtmndtplgtdt0(X3,xR,X1) )
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ~ sdtmndtasgtdt0(X0,xR,X1) )
| sP1(X2,X0) ),
inference(definition_folding,[],[f59,f63,f62]) ).
fof(f65,definition,
! [X0] :
( ( xd != X0
& ~ aReductOfIn0(X0,xd,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xd,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ sdtmndtasgtdt0(xd,xR,X0) )
| ~ sP2(X0) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f66,plain,
! [X0] :
( ~ aElement0(X0)
| ( xb != X0
& ~ aReductOfIn0(X0,xb,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xb,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0) )
& ~ sdtmndtplgtdt0(xb,xR,X0)
& ~ sdtmndtasgtdt0(xb,xR,X0) )
| sP2(X0) ),
inference(definition_folding,[],[f61,f65]) ).
fof(f87,plain,
( ! [X0,X1,X2] :
( ( aElement0(sK16(X1,X2))
& ( sK16(X1,X2) = X1
| ( ( aReductOfIn0(sK16(X1,X2),X1,xR)
| ( aElement0(sK17(X1,X2))
& aReductOfIn0(sK17(X1,X2),X1,xR)
& sdtmndtplgtdt0(sK17(X1,X2),xR,sK16(X1,X2)) ) )
& sdtmndtplgtdt0(X1,xR,sK16(X1,X2)) ) )
& sdtmndtasgtdt0(X1,xR,sK16(X1,X2))
& ( sK16(X1,X2) = X2
| ( ( aReductOfIn0(sK16(X1,X2),X2,xR)
| ( aElement0(sK18(X1,X2))
& aReductOfIn0(sK18(X1,X2),X2,xR)
& sdtmndtplgtdt0(sK18(X1,X2),xR,sK16(X1,X2)) ) )
& sdtmndtplgtdt0(X2,xR,sK16(X1,X2)) ) )
& sdtmndtasgtdt0(X2,xR,sK16(X1,X2)) )
| ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X3,sK16(X1,X2)),skolemize(X4,sK17(X1,X2)),skolemize(X5,sK18(X1,X2))],[f57]) ).
fof(f88,plain,
! [X2,X0] :
( ( X0 != X2
& ~ aReductOfIn0(X2,X0,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X0,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ~ sdtmndtasgtdt0(X0,xR,X2) )
| ~ sP1(X2,X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X0,X1] :
( ( X0 != X1
& ~ aReductOfIn0(X0,X1,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ~ sdtmndtasgtdt0(X1,xR,X0) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X1,X2] :
( ? [X5] :
( aElement0(X5)
& ( X1 = X5
| ( ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X1,xR)
& sdtmndtplgtdt0(X6,xR,X5) ) )
& sdtmndtplgtdt0(X1,xR,X5) ) )
& sdtmndtasgtdt0(X1,xR,X5)
& ( X2 = X5
| ( ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X2,xR)
& sdtmndtplgtdt0(X7,xR,X5) ) )
& sdtmndtplgtdt0(X2,xR,X5) ) )
& sdtmndtasgtdt0(X2,xR,X5) )
| ~ sP0(X1,X2) ),
inference(nnf_transformation,[],[f62]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( aElement0(X2)
& ( X0 = X2
| ( ( aReductOfIn0(X2,X0,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,xR)
& sdtmndtplgtdt0(X3,xR,X2) ) )
& sdtmndtplgtdt0(X0,xR,X2) ) )
& sdtmndtasgtdt0(X0,xR,X2)
& ( X1 = X2
| ( ( aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) ) )
& sdtmndtplgtdt0(X1,xR,X2) ) )
& sdtmndtasgtdt0(X1,xR,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ( aElement0(sK19(X0,X1))
& ( sK19(X0,X1) = X0
| ( ( aReductOfIn0(sK19(X0,X1),X0,xR)
| ( aElement0(sK20(X0,X1))
& aReductOfIn0(sK20(X0,X1),X0,xR)
& sdtmndtplgtdt0(sK20(X0,X1),xR,sK19(X0,X1)) ) )
& sdtmndtplgtdt0(X0,xR,sK19(X0,X1)) ) )
& sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
& ( sK19(X0,X1) = X1
| ( ( aReductOfIn0(sK19(X0,X1),X1,xR)
| ( aElement0(sK21(X0,X1))
& aReductOfIn0(sK21(X0,X1),X1,xR)
& sdtmndtplgtdt0(sK21(X0,X1),xR,sK19(X0,X1)) ) )
& sdtmndtplgtdt0(X1,xR,sK19(X0,X1)) ) )
& sdtmndtasgtdt0(X1,xR,sK19(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X2,sK19(X0,X1)),skolemize(X3,sK20(X0,X1)),skolemize(X4,sK21(X0,X1))],[f91]) ).
fof(f94,plain,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ( aElement0(sK24)
& aReductOfIn0(sK24,xu,xR)
& sdtmndtplgtdt0(sK24,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f20]) ).
fof(f96,plain,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ( aElement0(sK26)
& aReductOfIn0(sK26,xu,xR)
& sdtmndtplgtdt0(sK26,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ( aElement0(sK27)
& aReductOfIn0(sK27,xv,xR)
& sdtmndtplgtdt0(sK27,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27]),skolemize(X0,sK26),skolemize(X1,sK27)],[f33]) ).
fof(f97,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ( aElement0(sK28)
& aReductOfIn0(sK28,xw,xR)
& sdtmndtplgtdt0(sK28,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X1] : ~ aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X0,sK28)],[f60]) ).
fof(f98,plain,
! [X0] :
( ( xd != X0
& ~ aReductOfIn0(X0,xd,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xd,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0) )
& ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ sdtmndtasgtdt0(xd,xR,X0) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f65]) ).
fof(f99,plain,
! [X0] :
( ( xd != X0
& ~ aReductOfIn0(X0,xd,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xd,xR)
| ~ sdtmndtplgtdt0(X1,xR,X0) )
& ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ sdtmndtasgtdt0(xd,xR,X0) )
| ~ sP2(X0) ),
inference(rectify,[],[f98]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f139,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f143,plain,
! [X6,X7] :
( ~ aReductOfIn0(X7,X6,xR)
| iLess0(X7,X6)
| ~ aElement0(X6)
| ~ aElement0(X7) ),
inference(cnf_transformation,[],[f87]) ).
fof(f157,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f158,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f159,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ sdtmndtasgtdt0(X1,xR,X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f164,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sdtmndtasgtdt0(X1,xR,sK19(X0,X1)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f169,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sdtmndtasgtdt0(X0,xR,sK19(X0,X1)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f174,plain,
! [X0,X1] :
( aElement0(sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ iLess0(X0,xa)
| sP0(X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| sP1(X2,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f188,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f94]) ).
fof(f193,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f94]) ).
fof(f194,plain,
aElement0(xu),
inference(cnf_transformation,[],[f94]) ).
fof(f207,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f96]) ).
fof(f212,plain,
aElement0(xw),
inference(cnf_transformation,[],[f96]) ).
fof(f215,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(cnf_transformation,[],[f97]) ).
fof(f220,plain,
aElement0(xd),
inference(cnf_transformation,[],[f97]) ).
fof(f221,plain,
! [X0] :
( ~ sP2(X0)
| ~ sdtmndtasgtdt0(xd,xR,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f226,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f424,plain,
( iLess0(xu,xa)
| ~ aElement0(xa)
| ~ aElement0(xu) ),
inference(resolution,[],[f193,f143]) ).
fof(f425,plain,
( iLess0(xu,xa)
| ~ aElement0(xu) ),
inference(forward_subsumption_resolution,[],[f424,f158]) ).
fof(f426,plain,
iLess0(xu,xa),
inference(forward_subsumption_resolution,[],[f425,f194]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(resolution,[],[f110,f139]) ).
fof(f459,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xw,xR,X0)
| ~ aElement0(xu)
| sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(xw)
| ~ aElement0(X0) ),
inference(resolution,[],[f429,f207]) ).
fof(f464,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xw,xR,X0)
| sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(xw)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f459,f194]) ).
fof(f467,plain,
! [X0] :
( sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xw,xR,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f464,f212]) ).
fof(f633,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ aElement0(xu)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| sP1(X1,xu) ),
inference(resolution,[],[f426,f175]) ).
fof(f634,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| sP0(X0,X1)
| sP1(X1,xu) ),
inference(forward_subsumption_resolution,[],[f633,f194]) ).
fof(f1319,plain,
! [X0] :
( ~ aElement0(xb)
| ~ aElement0(X0)
| sP0(xb,X0)
| sP1(X0,xu) ),
inference(resolution,[],[f634,f188]) ).
fof(f1338,plain,
! [X0] :
( sP1(X0,xu)
| sP0(xb,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f1319,f157]) ).
fof(f1348,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| sP0(xb,X0) ),
inference(resolution,[],[f1338,f159]) ).
fof(f1350,plain,
! [X0] :
( ~ aElement0(X0)
| sP0(xb,X0)
| ~ sdtmndtasgtdt0(xw,xR,X0)
| ~ aElement0(X0) ),
inference(resolution,[],[f1348,f467]) ).
fof(f1362,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xw,xR,X0)
| sP0(xb,X0)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f1350]) ).
fof(f1374,plain,
( sP0(xb,xd)
| ~ aElement0(xd) ),
inference(resolution,[],[f1362,f215]) ).
fof(f1383,plain,
sP0(xb,xd),
inference(forward_subsumption_resolution,[],[f1374,f220]) ).
fof(f1385,plain,
sdtmndtasgtdt0(xb,xR,sK19(xb,xd)),
inference(resolution,[],[f1383,f169]) ).
fof(f1386,plain,
sdtmndtasgtdt0(xd,xR,sK19(xb,xd)),
inference(resolution,[],[f1383,f164]) ).
fof(f1391,plain,
( ~ aElement0(sK19(xb,xd))
| sP2(sK19(xb,xd)) ),
inference(resolution,[],[f1385,f226]) ).
fof(f1397,definition,
( spl29_98
<=> sP2(sK19(xb,xd)) ),
introduced(definition,[new_symbols(definition,[spl29_98])],[avatar_definition]) ).
fof(f1398,plain,
( sP2(sK19(xb,xd))
| ~ spl29_98 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1400,definition,
( spl29_99
<=> aElement0(sK19(xb,xd)) ),
introduced(definition,[new_symbols(definition,[spl29_99])],[avatar_definition]) ).
fof(f1401,plain,
( ~ aElement0(sK19(xb,xd))
| spl29_99 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f1402,plain,
( spl29_98
| ~ spl29_99 ),
inference(avatar_split_clause,[],[f1391,f1400,f1397]) ).
fof(f1423,plain,
( ~ sP0(xb,xd)
| spl29_99 ),
inference(resolution,[],[f1401,f174]) ).
fof(f1425,plain,
( $false
| spl29_99 ),
inference(forward_subsumption_resolution,[],[f1423,f1383]) ).
fof(f1426,plain,
spl29_99,
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1429,plain,
( ~ sdtmndtasgtdt0(xd,xR,sK19(xb,xd))
| ~ spl29_98 ),
inference(resolution,[],[f1398,f221]) ).
fof(f1431,plain,
( $false
| ~ spl29_98 ),
inference(forward_subsumption_resolution,[],[f1429,f1386]) ).
fof(f1432,plain,
~ spl29_98,
inference(avatar_contradiction_clause,[],[f1431]) ).
cnf(s75,plain,
( spl29_98
| ~ spl29_99 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s81,plain,
spl29_99,
inference(sat_conversion,[],[f1426]) ).
cnf(s82,plain,
~ spl29_98,
inference(sat_conversion,[],[f1432]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s75,s81,s82]) ).
fof(f1433,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM020+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n007.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 21:44:40 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 4.67/1.40 % (2882734)Detected formulas, will run a generic FOF schedule.
% 4.67/1.40 % (2882740)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=1030554443:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.67/1.40 % (2882741)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=3683359181:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.67/1.40 % (2882739)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=48314435:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.67/1.40 % (2882743)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2185479687:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.67/1.40 % (2882744)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2679254482:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.67/1.40 % (2882742)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3924226478:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.67/1.40 % (2882745)dis-21_1_sil=8000:lcm=predicate:random_seed=2422337854: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)
% 4.67/1.40 % (2882743)Instruction limit reached!
% 4.67/1.40 % (2882743)------------------------------
% 4.67/1.40 % (2882743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882743)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882743)Termination reason: Instruction limit
% 4.67/1.40 % (2882743)Termination phase: Saturation
% 4.67/1.40 % (2882743)Time elapsed: 0.068 s
% 4.67/1.40 % (2882743)Peak memory usage: 88 MB
% 4.67/1.40 % (2882743)Instructions burned: 119 (million)
% 4.67/1.40 % (2882742)Instruction limit reached!
% 4.67/1.40 % (2882742)------------------------------
% 4.67/1.40 % (2882742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882742)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882742)Termination reason: Instruction limit
% 4.67/1.40 % (2882742)Termination phase: Saturation
% 4.67/1.40 % (2882742)Time elapsed: 0.068 s
% 4.67/1.40 % (2882742)Peak memory usage: 89 MB
% 4.67/1.40 % (2882742)Instructions burned: 110 (million)
% 4.67/1.40 % (2882744)Instruction limit reached!
% 4.67/1.40 % (2882744)------------------------------
% 4.67/1.40 % (2882744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882744)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882744)Termination reason: Instruction limit
% 4.67/1.40 % (2882744)Termination phase: Saturation
% 4.67/1.40 % (2882744)Time elapsed: 0.075 s
% 4.67/1.40 % (2882744)Peak memory usage: 89 MB
% 4.67/1.40 % (2882744)Instructions burned: 140 (million)
% 4.67/1.40 % (2882745)Instruction limit reached!
% 4.67/1.40 % (2882745)------------------------------
% 4.67/1.40 % (2882745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882745)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882745)Termination reason: Instruction limit
% 4.67/1.40 % (2882745)Termination phase: Saturation
% 4.67/1.40 % (2882745)Time elapsed: 0.078 s
% 4.67/1.40 % (2882745)Peak memory usage: 90 MB
% 4.67/1.40 % (2882745)Instructions burned: 130 (million)
% 4.67/1.40 % (2882755)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1060412670:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.67/1.40 % (2882753)lrs+10_1_sil=8000:sp=occurrence:random_seed=787502944:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.67/1.40 % (2882756)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=2035644719:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.67/1.40 % (2882754)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3485424051:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.67/1.40 % (2882754)Instruction limit reached!
% 4.67/1.40 % (2882754)------------------------------
% 4.67/1.40 % (2882754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882754)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882754)Termination reason: Instruction limit
% 4.67/1.40 % (2882754)Termination phase: Saturation
% 4.67/1.40 % (2882754)Time elapsed: 0.087 s
% 4.67/1.40 % (2882754)Peak memory usage: 90 MB
% 4.67/1.40 % (2882754)Instructions burned: 159 (million)
% 4.67/1.40 % (2882756)Instruction limit reached!
% 4.67/1.40 % (2882756)------------------------------
% 4.67/1.40 % (2882756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882756)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882756)Termination reason: Instruction limit
% 4.67/1.40 % (2882756)Termination phase: Saturation
% 4.67/1.40 % (2882756)Time elapsed: 0.136 s
% 4.67/1.40 % (2882756)Peak memory usage: 91 MB
% 4.67/1.40 % (2882756)Instructions burned: 248 (million)
% 4.67/1.40 % (2882740)First to succeed.
% 4.67/1.40 % (2882740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2882734"
% 4.67/1.40 % (2882753)Instruction limit reached!
% 4.67/1.40 % (2882753)------------------------------
% 4.67/1.40 % (2882753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882753)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882753)Termination reason: Instruction limit
% 4.67/1.40 % (2882753)Termination phase: Saturation
% 4.67/1.40 % (2882753)Time elapsed: 0.171 s
% 4.67/1.40 % (2882753)Peak memory usage: 91 MB
% 4.67/1.40 % (2882753)Instructions burned: 285 (million)
% 4.67/1.40 % (2882755)Instruction limit reached!
% 4.67/1.40 % (2882755)------------------------------
% 4.67/1.40 % (2882755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.67/1.40 % (2882755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.67/1.40 % (2882755)CaDiCaL version: 2.1.3
% 4.67/1.40 % (2882755)Termination reason: Instruction limit
% 4.67/1.40 % (2882755)Termination phase: Saturation
% 4.67/1.40 % (2882755)Time elapsed: 0.207 s
% 4.67/1.40 % (2882755)Peak memory usage: 92 MB
% 4.67/1.40 % (2882755)Instructions burned: 325 (million)
% 4.67/1.40 % (2882761)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=301019631:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.67/1.40 % (2882762)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2861542699:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.67/1.40 % (2882740)Refutation found. Thanks to Tanya!
% 4.67/1.40 % SZS status Theorem for theBenchmark
% 4.67/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.50 % (2882740)------------------------------
% 0.18/1.50 % (2882740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (2882740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (2882740)CaDiCaL version: 2.1.3
% 0.18/1.50 % (2882740)Termination reason: Refutation
% 0.18/1.50 % (2882740)Time elapsed: 0.443 s
% 0.18/1.50 % (2882740)Peak memory usage: 132 MB
% 0.18/1.50 % (2882740)Instructions burned: 1115 (million)
% 0.18/1.50 % (2882740)------------------------------
% 0.18/1.50 % (2882740)------------------------------
% 0.18/1.50 % (2882734)Success in time 0.741 s
% 0.18/1.50 % Vampire exiting
%------------------------------------------------------------------------------