%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM020+4 : 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 09:40:10 AM UTC 2026
% Result : Theorem 15.28s 2.49s
% Output : Refutation 15.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 187 ( 29 unt; 11 def)
% Number of atoms : 949 ( 60 equ)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 1208 ( 446 ~; 490 |; 235 &)
% ( 17 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 12 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 215 ( 0 sgn 163 !; 52 ?)
% 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(f7,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( ( sdtmndtplgtdt0(X0,X1,X2)
& sdtmndtplgtdt0(X2,X1,X3) )
=> sdtmndtplgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).
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(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/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/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)
& ( 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f26,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(f27,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(f29,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(f30,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(f31,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(f34,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f34]) ).
fof(f40,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(f41,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,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(flattening,[],[f42]) ).
fof(f46,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(f47,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,[],[f46]) ).
fof(f52,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f53,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f52]) ).
fof(f58,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,[],[f26]) ).
fof(f59,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,[],[f58]) ).
fof(f60,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,[],[f27]) ).
fof(f61,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,[],[f60]) ).
fof(f62,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,[],[f30]) ).
fof(f63,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,[],[f31]) ).
fof(f64,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK0(X0,X1,X2),X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f93,plain,
! [X2,X0,X1] :
( iLess0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f103,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f118,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f59]) ).
fof(f121,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f122,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f129,plain,
! [X2,X1] :
( sdtmndtplgtdt0(X1,xR,sK17(X1,X2))
| sK17(X1,X2) = X1
| ~ sP16(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f131,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,xR,sK17(X1,X2))
| ~ sP16(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f132,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X1,xR,sK17(X1,X2))
| ~ sP16(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f133,plain,
! [X2,X1] :
( aElement0(sK17(X1,X2))
| ~ sP16(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f144,plain,
! [X2,X0,X1] :
( X0 != X2
| ~ sdtmndtplgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| sP16(X2,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sP16(X2,X1)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| ~ sdtmndtplgtdt0(X0,xR,X2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f170,plain,
( sdtmndtplgtdt0(xu,xR,xb)
| xb = xu ),
inference(cnf_transformation,[],[f20]) ).
fof(f172,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f20]) ).
fof(f173,plain,
aElement0(xu),
inference(cnf_transformation,[],[f20]) ).
fof(f187,plain,
( sdtmndtplgtdt0(xu,xR,xw)
| xu = xw ),
inference(cnf_transformation,[],[f29]) ).
fof(f190,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f29]) ).
fof(f191,plain,
aElement0(xw),
inference(cnf_transformation,[],[f29]) ).
fof(f195,plain,
( sdtmndtplgtdt0(xw,xR,xd)
| xw = xd ),
inference(cnf_transformation,[],[f62]) ).
fof(f197,plain,
! [X1] : ~ aReductOfIn0(X1,xd,xR),
inference(cnf_transformation,[],[f62]) ).
fof(f198,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(cnf_transformation,[],[f62]) ).
fof(f199,plain,
aElement0(xd),
inference(cnf_transformation,[],[f62]) ).
fof(f209,plain,
! [X0] :
( xd != X0
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f220,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| xb != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f221,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f232,plain,
! [X2,X1] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ iLess0(X2,xa)
| sP16(X2,X1) ),
inference(equality_resolution,[],[f144]) ).
fof(f237,plain,
( ~ sdtmndtplgtdt0(xd,xR,xb)
| ~ aElement0(xb) ),
inference(equality_resolution,[],[f220]) ).
fof(f242,plain,
( ~ sdtmndtasgtdt0(xb,xR,xd)
| ~ aElement0(xd) ),
inference(equality_resolution,[],[f209]) ).
fof(f248,plain,
! [X2,X1] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X2,xa)
| sP16(X2,X1) ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f256,definition,
( spl27_1
<=> aElement0(xd) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f257,plain,
( aElement0(xd)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( ~ aElement0(xd)
| spl27_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f265,definition,
( spl27_3
<=> aElement0(xb) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f266,plain,
( aElement0(xb)
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ aElement0(xb)
| spl27_3 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f275,plain,
( $false
| spl27_3 ),
inference(forward_subsumption_resolution,[],[f121,f267]) ).
fof(f276,plain,
spl27_3,
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f277,plain,
( ~ sdtmndtplgtdt0(xd,xR,xb)
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f237,f266]) ).
fof(f280,plain,
( $false
| spl27_1 ),
inference(forward_subsumption_resolution,[],[f199,f258]) ).
fof(f281,plain,
spl27_1,
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f284,plain,
( ~ sdtmndtasgtdt0(xb,xR,xd)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f242,f257]) ).
fof(f357,definition,
( spl27_13
<=> xb = xu ),
introduced(definition,[new_symbols(definition,[spl27_13])],[avatar_definition]) ).
fof(f359,plain,
( xb = xu
| ~ spl27_13 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl27_14
<=> sdtmndtplgtdt0(xu,xR,xb) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f363,plain,
( sdtmndtplgtdt0(xu,xR,xb)
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( spl27_13
| spl27_14 ),
inference(avatar_split_clause,[],[f170,f361,f357]) ).
fof(f407,definition,
( spl27_19
<=> xw = xd ),
introduced(definition,[new_symbols(definition,[spl27_19])],[avatar_definition]) ).
fof(f409,plain,
( xw = xd
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f411,definition,
( spl27_20
<=> sdtmndtplgtdt0(xw,xR,xd) ),
introduced(definition,[new_symbols(definition,[spl27_20])],[avatar_definition]) ).
fof(f413,plain,
( sdtmndtplgtdt0(xw,xR,xd)
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
( spl27_19
| spl27_20 ),
inference(avatar_split_clause,[],[f195,f411,f407]) ).
fof(f428,plain,
( sdtmndtplgtdt0(xu,xR,xd)
| xu = xw
| ~ spl27_19 ),
inference(forward_demodulation,[],[f187,f409]) ).
fof(f429,plain,
( xu = xd
| sdtmndtplgtdt0(xu,xR,xd)
| ~ spl27_19 ),
inference(forward_demodulation,[],[f428,f409]) ).
fof(f438,definition,
( spl27_21
<=> sdtmndtplgtdt0(xu,xR,xd) ),
introduced(definition,[new_symbols(definition,[spl27_21])],[avatar_definition]) ).
fof(f439,plain,
( ~ sdtmndtplgtdt0(xu,xR,xd)
| spl27_21 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( sdtmndtplgtdt0(xu,xR,xd)
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f442,definition,
( spl27_22
<=> xu = xd ),
introduced(definition,[new_symbols(definition,[spl27_22])],[avatar_definition]) ).
fof(f444,plain,
( xu = xd
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f445,plain,
( spl27_21
| spl27_22
| ~ spl27_19 ),
inference(avatar_split_clause,[],[f429,f407,f442,f438]) ).
fof(f457,definition,
( spl27_23
<=> xu = xw ),
introduced(definition,[new_symbols(definition,[spl27_23])],[avatar_definition]) ).
fof(f459,plain,
( xu = xw
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f461,definition,
( spl27_24
<=> sdtmndtplgtdt0(xu,xR,xw) ),
introduced(definition,[new_symbols(definition,[spl27_24])],[avatar_definition]) ).
fof(f463,plain,
( sdtmndtplgtdt0(xu,xR,xw)
| ~ spl27_24 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,plain,
( spl27_23
| spl27_24 ),
inference(avatar_split_clause,[],[f187,f461,f457]) ).
fof(f518,plain,
! [X0] :
( ~ sP16(X0,xd)
| ~ sdtmndtasgtdt0(xb,xR,sK17(xd,X0))
| ~ aElement0(sK17(xd,X0)) ),
inference(resolution,[],[f132,f221]) ).
fof(f519,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xb,xR,sK17(xd,X0))
| ~ sP16(X0,xd) ),
inference(forward_subsumption_resolution,[],[f518,f133]) ).
fof(f546,plain,
( ~ sP16(xb,xd)
| ~ sP16(xb,xd) ),
inference(resolution,[],[f519,f131]) ).
fof(f547,plain,
~ sP16(xb,xd),
inference(duplicate_literal_removal,[],[f546]) ).
fof(f609,plain,
( sdtmndtplgtdt0(xd,xR,xb)
| ~ spl27_14
| ~ spl27_22 ),
inference(superposition,[],[f363,f444]) ).
fof(f612,plain,
( $false
| ~ spl27_3
| ~ spl27_14
| ~ spl27_22 ),
inference(forward_subsumption_resolution,[],[f609,f277]) ).
fof(f613,plain,
( ~ spl27_3
| ~ spl27_14
| ~ spl27_22 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f826,plain,
( ~ aElement0(xu)
| ~ aElement0(xd)
| ~ iLess0(xu,xa)
| sP16(xu,xd)
| ~ spl27_21 ),
inference(resolution,[],[f248,f440]) ).
fof(f834,plain,
( ~ aElement0(xd)
| ~ iLess0(xu,xa)
| sP16(xu,xd)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f826,f173]) ).
fof(f843,plain,
( ~ iLess0(xu,xa)
| sP16(xu,xd)
| ~ spl27_1
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f834,f257]) ).
fof(f981,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1) ),
inference(forward_subsumption_resolution,[],[f69,f64]) ).
fof(f1266,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(xb)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| ~ sdtmndtplgtdt0(X0,xR,xb) ),
inference(resolution,[],[f151,f547]) ).
fof(f1267,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| ~ sdtmndtplgtdt0(X0,xR,xb) )
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f1266,f266]) ).
fof(f1269,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| ~ sdtmndtplgtdt0(X0,xR,xb) )
| ~ spl27_1
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f1267,f257]) ).
fof(f1582,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(xd) )
| ~ spl27_1 ),
inference(resolution,[],[f74,f284]) ).
fof(f1601,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xb)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(xd) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f1582,f103]) ).
fof(f1613,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(xd) )
| ~ spl27_1
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f1601,f266]) ).
fof(f1622,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0) )
| ~ spl27_1
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f1613,f257]) ).
fof(f1717,plain,
! [X0] :
( ~ aRewritingSystem0(xR)
| ~ aElement0(xd)
| ~ aElement0(X0)
| aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0) ),
inference(resolution,[],[f67,f197]) ).
fof(f1726,plain,
! [X0] :
( ~ aElement0(xd)
| ~ aElement0(X0)
| aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0) ),
inference(forward_subsumption_resolution,[],[f1717,f103]) ).
fof(f1736,plain,
( ! [X0] :
( ~ aElement0(X0)
| aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f1726,f257]) ).
fof(f1745,plain,
( ! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f1736,f197]) ).
fof(f1785,plain,
( ! [X0] :
( ~ aElement0(sK17(xd,X0))
| xd = sK17(xd,X0)
| ~ sP16(X0,xd) )
| ~ spl27_1 ),
inference(resolution,[],[f1745,f129]) ).
fof(f1794,plain,
( ! [X0] :
( ~ sP16(X0,xd)
| xd = sK17(xd,X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f1785,f133]) ).
fof(f2251,definition,
( spl27_45
<=> iLess0(xu,xa) ),
introduced(definition,[new_symbols(definition,[spl27_45])],[avatar_definition]) ).
fof(f2252,plain,
( iLess0(xu,xa)
| ~ spl27_45 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2253,plain,
( ~ iLess0(xu,xa)
| spl27_45 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2261,plain,
( ! [X0] :
( ~ aElement0(xu)
| ~ aElement0(xa)
| ~ sdtmndtplgtdt0(xa,X0,xu)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) )
| spl27_45 ),
inference(resolution,[],[f2253,f93]) ).
fof(f2262,plain,
( ! [X0] :
( ~ aElement0(xa)
| ~ sdtmndtplgtdt0(xa,X0,xu)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) )
| spl27_45 ),
inference(forward_subsumption_resolution,[],[f2261,f173]) ).
fof(f2264,plain,
( ! [X0] :
( ~ sdtmndtplgtdt0(xa,X0,xu)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) )
| spl27_45 ),
inference(forward_subsumption_resolution,[],[f2262,f122]) ).
fof(f2512,plain,
( ~ sdtmndtasgtdt0(xb,xR,xw)
| ~ aElement0(xw)
| ~ spl27_1
| ~ spl27_3 ),
inference(resolution,[],[f1622,f198]) ).
fof(f2523,plain,
( ~ sdtmndtasgtdt0(xb,xR,xw)
| ~ spl27_1
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f2512,f191]) ).
fof(f2564,plain,
( ! [X0] :
( ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ aElement0(xa)
| ~ aReductOfIn0(xu,xa,X0)
| ~ aRewritingSystem0(X0) )
| spl27_45 ),
inference(resolution,[],[f2264,f981]) ).
fof(f2565,plain,
( ! [X0] :
( ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ aElement0(xa)
| ~ aReductOfIn0(xu,xa,X0) )
| spl27_45 ),
inference(duplicate_literal_removal,[],[f2564]) ).
fof(f2568,plain,
( ! [X0] :
( ~ aReductOfIn0(xu,xa,X0)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) )
| spl27_45 ),
inference(forward_subsumption_resolution,[],[f2565,f122]) ).
fof(f2730,plain,
( ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| spl27_45 ),
inference(resolution,[],[f2568,f172]) ).
fof(f2731,plain,
( ~ aRewritingSystem0(xR)
| spl27_45 ),
inference(forward_subsumption_resolution,[],[f2730,f118]) ).
fof(f2732,plain,
( $false
| spl27_45 ),
inference(forward_subsumption_resolution,[],[f2731,f103]) ).
fof(f2733,plain,
spl27_45,
inference(avatar_contradiction_clause,[],[f2732]) ).
fof(f2738,plain,
( sP16(xu,xd)
| ~ spl27_1
| ~ spl27_21
| ~ spl27_45 ),
inference(forward_subsumption_resolution,[],[f843,f2252]) ).
fof(f2739,plain,
( xd = sK17(xd,xu)
| ~ spl27_1
| ~ spl27_21
| ~ spl27_45 ),
inference(resolution,[],[f2738,f1794]) ).
fof(f2746,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ sP16(xu,xd)
| ~ spl27_1
| ~ spl27_21
| ~ spl27_45 ),
inference(superposition,[],[f131,f2739]) ).
fof(f2749,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ spl27_1
| ~ spl27_21
| ~ spl27_45 ),
inference(forward_subsumption_resolution,[],[f2746,f2738]) ).
fof(f2765,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xu)
| ~ sdtmndtplgtdt0(X0,xR,xd)
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(xd) )
| spl27_21 ),
inference(resolution,[],[f439,f70]) ).
fof(f2770,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(xu)
| ~ sdtmndtplgtdt0(X0,xR,xd)
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(xd) )
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f2765,f103]) ).
fof(f2773,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,xd)
| ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ aElement0(xd) )
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f2770,f173]) ).
fof(f2775,plain,
( ! [X0] :
( ~ sdtmndtplgtdt0(xu,xR,X0)
| ~ sdtmndtplgtdt0(X0,xR,xd)
| ~ aElement0(X0) )
| ~ spl27_1
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f2773,f257]) ).
fof(f2794,plain,
( ~ sdtmndtplgtdt0(xw,xR,xd)
| ~ aElement0(xw)
| ~ spl27_1
| spl27_21
| ~ spl27_24 ),
inference(resolution,[],[f2775,f463]) ).
fof(f2814,plain,
( ~ aElement0(xw)
| ~ spl27_1
| ~ spl27_20
| spl27_21
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f2794,f413]) ).
fof(f2820,plain,
( $false
| ~ spl27_1
| ~ spl27_20
| spl27_21
| ~ spl27_24 ),
inference(forward_subsumption_resolution,[],[f2814,f191]) ).
fof(f2821,plain,
( ~ spl27_1
| ~ spl27_20
| spl27_21
| ~ spl27_24 ),
inference(avatar_contradiction_clause,[],[f2820]) ).
fof(f2827,plain,
( sdtmndtasgtdt0(xb,xR,xw)
| ~ spl27_13 ),
inference(superposition,[],[f190,f359]) ).
fof(f2841,plain,
( $false
| ~ spl27_1
| ~ spl27_3
| ~ spl27_13 ),
inference(forward_subsumption_resolution,[],[f2827,f2523]) ).
fof(f2842,plain,
( ~ spl27_1
| ~ spl27_3
| ~ spl27_13 ),
inference(avatar_contradiction_clause,[],[f2841]) ).
fof(f2904,plain,
( ~ sdtmndtplgtdt0(xw,xR,xd)
| spl27_21
| ~ spl27_23 ),
inference(forward_demodulation,[],[f439,f459]) ).
fof(f2905,plain,
( $false
| ~ spl27_20
| spl27_21
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f2904,f413]) ).
fof(f2906,plain,
( ~ spl27_20
| spl27_21
| ~ spl27_23 ),
inference(avatar_contradiction_clause,[],[f2905]) ).
fof(f31038,plain,
( ~ aElement0(xu)
| ~ iLess0(xu,xa)
| ~ sdtmndtplgtdt0(xu,xR,xb)
| ~ spl27_1
| ~ spl27_3
| ~ spl27_21
| ~ spl27_45 ),
inference(resolution,[],[f2749,f1269]) ).
fof(f31065,plain,
( ~ iLess0(xu,xa)
| ~ sdtmndtplgtdt0(xu,xR,xb)
| ~ spl27_1
| ~ spl27_3
| ~ spl27_21
| ~ spl27_45 ),
inference(forward_subsumption_resolution,[],[f31038,f173]) ).
fof(f31066,plain,
( ~ sdtmndtplgtdt0(xu,xR,xb)
| ~ spl27_1
| ~ spl27_3
| ~ spl27_21
| ~ spl27_45 ),
inference(forward_subsumption_resolution,[],[f31065,f2252]) ).
fof(f31067,plain,
( $false
| ~ spl27_1
| ~ spl27_3
| ~ spl27_14
| ~ spl27_21
| ~ spl27_45 ),
inference(forward_subsumption_resolution,[],[f31066,f363]) ).
fof(f31068,plain,
( ~ spl27_1
| ~ spl27_3
| ~ spl27_14
| ~ spl27_21
| ~ spl27_45 ),
inference(avatar_contradiction_clause,[],[f31067]) ).
cnf(s3,plain,
spl27_3,
inference(sat_conversion,[],[f276]) ).
cnf(s4,plain,
spl27_1,
inference(sat_conversion,[],[f281]) ).
cnf(s9,plain,
( spl27_13
| spl27_14 ),
inference(sat_conversion,[],[f364]) ).
cnf(s12,plain,
( spl27_19
| spl27_20 ),
inference(sat_conversion,[],[f414]) ).
cnf(s15,plain,
( ~ spl27_19
| spl27_21
| spl27_22 ),
inference(sat_conversion,[],[f445]) ).
cnf(s16,plain,
( spl27_23
| spl27_24 ),
inference(sat_conversion,[],[f464]) ).
cnf(s23,plain,
( ~ spl27_3
| ~ spl27_14
| ~ spl27_22 ),
inference(sat_conversion,[],[f613]) ).
cnf(s38,plain,
spl27_45,
inference(sat_conversion,[],[f2733]) ).
cnf(s42,plain,
( ~ spl27_1
| ~ spl27_20
| spl27_21
| ~ spl27_24 ),
inference(sat_conversion,[],[f2821]) ).
cnf(s44,plain,
( ~ spl27_1
| ~ spl27_3
| ~ spl27_13 ),
inference(sat_conversion,[],[f2842]) ).
cnf(s48,plain,
( ~ spl27_20
| spl27_21
| ~ spl27_23 ),
inference(sat_conversion,[],[f2906]) ).
cnf(s132,plain,
( ~ spl27_1
| ~ spl27_3
| ~ spl27_14
| ~ spl27_21
| ~ spl27_45 ),
inference(sat_conversion,[],[f31068]) ).
cnf(s146,plain,
~ spl27_13,
inference(rat,[],[s44,s4,s3]) ).
cnf(s149,plain,
spl27_14,
inference(rat,[],[s9,s146]) ).
cnf(s150,plain,
~ spl27_22,
inference(rat,[],[s23,s3,s149]) ).
cnf(s151,plain,
~ spl27_21,
inference(rat,[],[s132,s38,s3,s4,s149]) ).
cnf(s152,plain,
~ spl27_19,
inference(rat,[],[s15,s150,s151]) ).
cnf(s153,plain,
spl27_20,
inference(rat,[],[s12,s152]) ).
cnf(s154,plain,
~ spl27_23,
inference(rat,[],[s48,s151,s153]) ).
cnf(s155,plain,
~ spl27_24,
inference(rat,[],[s42,s151,s4,s153]) ).
cnf(s158,plain,
$false,
inference(rat,[],[s16,s155,s154]) ).
fof(f31069,plain,
$false,
inference(avatar_sat_refutation,[],[s158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM020+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n013.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 21:46:07 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.25 Running first-order model finding
% 0.09/0.25 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
% 15.28/2.49 % (1613699)Will run a generic schedule for satisfiability detection.
% 15.28/2.49 % (1613707)dis+10_1_sil=32000:sp=arity:random_seed=252178451:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.28/2.49 % (1613708)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1773059708:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.28/2.49 % (1613705)% WARNING: option uhcvi not known.
% 15.28/2.49 % (1613709)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2167788974:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.28/2.49 % (1613704)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1863644992_2999 on theBenchmark for (2999ds/0Mi)
% 15.28/2.49 % (1613705)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1317874697:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.28/2.49 % (1613706)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2133088570:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.28/2.49 % (1613710)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3089095242:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.28/2.49 % TRYING [1]
% 15.28/2.49 % TRYING [2]
% 15.28/2.49 % TRYING [3]
% 15.28/2.49 % TRYING [4]
% 15.28/2.49 % (1613707)Instruction limit reached!
% 15.28/2.49 % (1613707)------------------------------
% 15.28/2.49 % (1613707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613707)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613707)Termination reason: Instruction limit
% 15.28/2.49 % (1613707)Termination phase: Saturation
% 15.28/2.49 % (1613707)Time elapsed: 0.054 s
% 15.28/2.49 % (1613707)Peak memory usage: 12 MB
% 15.28/2.49 % (1613707)Instructions burned: 105 (million)
% 15.28/2.49 % (1613720)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2412632141:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.28/2.49 % TRYING [5]
% 15.28/2.49 % TRYING [1]
% 15.28/2.49 % TRYING [2]
% 15.28/2.49 % TRYING [3]
% 15.28/2.49 % (1613708)Instruction limit reached!
% 15.28/2.49 % (1613708)------------------------------
% 15.28/2.49 % (1613708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613708)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613708)Termination reason: Instruction limit
% 15.28/2.49 % (1613708)Termination phase: Saturation
% 15.28/2.49 % (1613708)Time elapsed: 0.087 s
% 15.28/2.49 % (1613708)Peak memory usage: 13 MB
% 15.28/2.49 % (1613708)Instructions burned: 116 (million)
% 15.28/2.49 % TRYING [4]
% 15.28/2.49 % TRYING [5]
% 15.28/2.49 % TRYING [6]
% 15.28/2.49 % (1613709)Instruction limit reached!
% 15.28/2.49 % (1613709)------------------------------
% 15.28/2.49 % (1613709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613709)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613709)Termination reason: Instruction limit
% 15.28/2.49 % (1613709)Termination phase: Saturation
% 15.28/2.49 % (1613709)Time elapsed: 0.115 s
% 15.28/2.49 % (1613709)Peak memory usage: 14 MB
% 15.28/2.49 % (1613709)Instructions burned: 132 (million)
% 15.28/2.49 % (1613723)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3571906323:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.28/2.49 % (1613725)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=2657310227:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.28/2.49 % (1613710)Instruction limit reached!
% 15.28/2.49 % (1613710)------------------------------
% 15.28/2.49 % (1613710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613710)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613710)Termination reason: Instruction limit
% 15.28/2.49 % (1613710)Termination phase: Saturation
% 15.28/2.49 % (1613710)Time elapsed: 0.157 s
% 15.28/2.49 % (1613710)Peak memory usage: 13 MB
% 15.28/2.49 % (1613710)Instructions burned: 160 (million)
% 15.28/2.49 % TRYING [6]
% 15.28/2.49 % TRYING [7]
% 15.28/2.49 % (1613727)ott-21_1_sil=16000:fs=off:random_seed=4123526216:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.28/2.49 % (1613723)Instruction limit reached!
% 15.28/2.49 % (1613723)------------------------------
% 15.28/2.49 % (1613723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613723)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613723)Termination reason: Instruction limit
% 15.28/2.49 % (1613723)Termination phase: Saturation
% 15.28/2.49 % (1613723)Time elapsed: 0.097 s
% 15.28/2.49 % (1613723)Peak memory usage: 13 MB
% 15.28/2.49 % (1613723)Instructions burned: 131 (million)
% 15.28/2.49 % (1613729)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2430589385:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.28/2.49 % TRYING [8]
% 15.28/2.49 % (1613720)Instruction limit reached!
% 15.28/2.49 % (1613720)------------------------------
% 15.28/2.49 % (1613720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613720)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613720)Termination reason: Instruction limit
% 15.28/2.49 % (1613720)Termination phase: Finite model building SAT solving
% 15.28/2.49 % (1613720)Time elapsed: 0.203 s
% 15.28/2.49 % (1613720)Peak memory usage: 27 MB
% 15.28/2.49 % (1613720)Instructions burned: 725 (million)
% 15.28/2.49 % (1613731)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1663732898:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.28/2.49 % TRYING [1]
% 15.28/2.49 % TRYING [2]
% 15.28/2.49 % TRYING [3]
% 15.28/2.49 % (1613727)Instruction limit reached!
% 15.28/2.49 % (1613727)------------------------------
% 15.28/2.49 % (1613727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613727)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613727)Termination reason: Instruction limit
% 15.28/2.49 % (1613727)Termination phase: Saturation
% 15.28/2.49 % (1613727)Time elapsed: 0.103 s
% 15.28/2.49 % (1613727)Peak memory usage: 13 MB
% 15.28/2.49 % (1613727)Instructions burned: 182 (million)
% 15.28/2.49 % TRYING [4]
% 15.28/2.49 % (1613733)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=703094965:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 15.28/2.49 % TRYING [5]
% 15.28/2.49 % TRYING [9]
% 15.28/2.49 % TRYING [6]
% 15.28/2.49 % TRYING [7]
% 15.28/2.49 % TRYING [10]
% 15.28/2.49 % (1613731)Instruction limit reached!
% 15.28/2.49 % (1613731)------------------------------
% 15.28/2.49 % (1613731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613731)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613731)Termination reason: Instruction limit
% 15.28/2.49 % (1613731)Termination phase: Finite model building SAT solving
% 15.28/2.49 % (1613731)Time elapsed: 0.198 s
% 15.28/2.49 % (1613731)Peak memory usage: 20 MB
% 15.28/2.49 % (1613731)Instructions burned: 866 (million)
% 15.28/2.49 % (1613736)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3660776177:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 15.28/2.49 % (1613725)Instruction limit reached!
% 15.28/2.49 % (1613725)------------------------------
% 15.28/2.49 % (1613725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613725)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613725)Termination reason: Instruction limit
% 15.28/2.49 % (1613725)Termination phase: Saturation
% 15.28/2.49 % (1613725)Time elapsed: 0.392 s
% 15.28/2.49 % (1613725)Peak memory usage: 18 MB
% 15.28/2.49 % (1613725)Instructions burned: 684 (million)
% 15.28/2.49 % TRYING [14]
% 15.28/2.49 % (1613729)Instruction limit reached!
% 15.28/2.49 % (1613729)------------------------------
% 15.28/2.49 % (1613729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613729)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613729)Termination reason: Instruction limit
% 15.28/2.49 % (1613729)Termination phase: Saturation
% 15.28/2.49 % (1613729)Time elapsed: 0.324 s
% 15.28/2.49 % (1613729)Peak memory usage: 15 MB
% 15.28/2.49 % (1613729)Instructions burned: 478 (million)
% 15.28/2.49 % (1613738)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=1056010060:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 15.28/2.49 % (1613739)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2675994366:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.28/2.49 % TRYING [11]
% 15.28/2.49 % (1613736)Instruction limit reached!
% 15.28/2.49 % (1613736)------------------------------
% 15.28/2.49 % (1613736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613736)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613736)Termination reason: Instruction limit
% 15.28/2.49 % (1613736)Termination phase: Finite model building constraint generation
% 15.28/2.49 % (1613736)Time elapsed: 0.223 s
% 15.28/2.49 % (1613736)Peak memory usage: 73 MB
% 15.28/2.49 % (1613736)Instructions burned: 893 (million)
% 15.28/2.49 % (1613807)fmb+10_1_sil=64000:random_seed=73128159:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 15.28/2.49 % TRYING [1]
% 15.28/2.49 % TRYING [2]
% 15.28/2.49 % TRYING [3]
% 15.28/2.49 % TRYING [4]
% 15.28/2.49 % TRYING [5]
% 15.28/2.49 % TRYING [6]
% 15.28/2.49 % TRYING [7]
% 15.28/2.49 % TRYING [8]
% 15.28/2.49 % TRYING [12]
% 15.28/2.49 % (1613733)Instruction limit reached!
% 15.28/2.49 % (1613733)------------------------------
% 15.28/2.49 % (1613733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613733)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613733)Termination reason: Instruction limit
% 15.28/2.49 % (1613733)Termination phase: Saturation
% 15.28/2.49 % (1613733)Time elapsed: 0.670 s
% 15.28/2.49 % (1613733)Peak memory usage: 20 MB
% 15.28/2.49 % (1613733)Instructions burned: 1180 (million)
% 15.28/2.49 % (1613738)Instruction limit reached!
% 15.28/2.49 % (1613738)------------------------------
% 15.28/2.49 % (1613738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613738)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613738)Termination reason: Instruction limit
% 15.28/2.49 % (1613738)Termination phase: Saturation
% 15.28/2.49 % (1613738)Time elapsed: 0.437 s
% 15.28/2.49 % (1613738)Peak memory usage: 20 MB
% 15.28/2.49 % (1613738)Instructions burned: 694 (million)
% 15.28/2.49 % (1613861)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2289402490:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 15.28/2.49 % TRYING [20]
% 15.28/2.49 % TRYING [9]
% 15.28/2.49 % (1613873)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2513654934:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 15.28/2.49 % TRYING [8]
% 15.28/2.49 % (1613739)Instruction limit reached!
% 15.28/2.49 % (1613739)------------------------------
% 15.28/2.49 % (1613739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613739)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613739)Termination reason: Instruction limit
% 15.28/2.49 % (1613739)Termination phase: Saturation
% 15.28/2.49 % (1613739)Time elapsed: 0.496 s
% 15.28/2.49 % (1613739)Peak memory usage: 20 MB
% 15.28/2.49 % (1613739)Instructions burned: 879 (million)
% 15.28/2.49 % (1613900)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1679415675:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 15.28/2.49 % TRYING [9]
% 15.28/2.49 % TRYING [10]
% 15.28/2.49 % TRYING [10]
% 15.28/2.49 % TRYING [13]
% 15.28/2.49 % (1613873)Instruction limit reached!
% 15.28/2.49 % (1613873)------------------------------
% 15.28/2.49 % (1613873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613873)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613873)Termination reason: Instruction limit
% 15.28/2.49 % (1613873)Termination phase: Finite model building constraint generation
% 15.28/2.49 % (1613873)Time elapsed: 0.356 s
% 15.28/2.49 % (1613873)Peak memory usage: 40 MB
% 15.28/2.49 % (1613873)Instructions burned: 922 (million)
% 15.28/2.49 % (1613902)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=57815476:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 15.28/2.49 % TRYING [11]
% 15.28/2.49 % TRYING [12]
% 15.28/2.49 % TRYING [14]
% 15.28/2.49 % (1613900) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1613699-1613900"...
% 15.28/2.49 % (1613900)...printing done.
% 15.28/2.49 % (1613900)Refutation found. Thanks to Tanya!
% 15.28/2.49 % SZS status Theorem for theBenchmark
% 15.28/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 15.28/2.49 % (1613900)------------------------------
% 15.28/2.49 % (1613900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.49 % (1613900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.49 % (1613900)CaDiCaL version: 2.1.3
% 15.28/2.49 % (1613900)Termination reason: Refutation
% 15.28/2.49 % (1613900)Time elapsed: 1.056 s
% 15.28/2.49 % (1613900)Peak memory usage: 20 MB
% 15.28/2.49 % (1613900)Instructions burned: 1995 (million)
% 15.28/2.49 % (1613699)Success in time 2.226 s
% 15.28/2.49 % Vampire exiting
%------------------------------------------------------------------------------