%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM015+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 : 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 09:39:23 AM UTC 2026
% Result : Theorem 6.67s 1.92s
% Output : Refutation 9.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 26
% Syntax : Number of formulae : 284 ( 27 unt; 22 def)
% Number of atoms : 1754 ( 89 equ)
% Maximal formula atoms : 65 ( 6 avg)
% Number of connectives : 2438 ( 968 ~;1011 |; 422 &)
% ( 17 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 18 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 362 ( 0 sgn 280 !; 82 ?)
% 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,conjecture,
! [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) )
=> ( ! [X3,X4,X5] :
( ( aElement0(X3)
& aElement0(X4)
& aElement0(X5)
& ( X3 = X4
| aReductOfIn0(X4,X3,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X3,xR)
& sdtmndtplgtdt0(X6,xR,X4) )
| sdtmndtplgtdt0(X3,xR,X4)
| sdtmndtasgtdt0(X3,xR,X4) )
& ( X3 = X5
| aReductOfIn0(X5,X3,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X3,xR)
& sdtmndtplgtdt0(X6,xR,X5) )
| sdtmndtplgtdt0(X3,xR,X5)
| sdtmndtasgtdt0(X3,xR,X5) ) )
=> ( iLess0(X3,X0)
=> ? [X6] :
( aElement0(X6)
& ( X4 = X6
| ( ( aReductOfIn0(X6,X4,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X4,xR)
& sdtmndtplgtdt0(X7,xR,X6) ) )
& sdtmndtplgtdt0(X4,xR,X6) ) )
& sdtmndtasgtdt0(X4,xR,X6)
& ( X5 = X6
| ( ( aReductOfIn0(X6,X5,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X5,xR)
& sdtmndtplgtdt0(X7,xR,X6) ) )
& sdtmndtplgtdt0(X5,xR,X6) ) )
& sdtmndtasgtdt0(X5,xR,X6) ) ) )
=> ? [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__) ).
fof(f18,negated_conjecture,
~ ! [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) )
=> ( ! [X3,X4,X5] :
( ( aElement0(X3)
& aElement0(X4)
& aElement0(X5)
& ( X3 = X4
| aReductOfIn0(X4,X3,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X3,xR)
& sdtmndtplgtdt0(X6,xR,X4) )
| sdtmndtplgtdt0(X3,xR,X4)
| sdtmndtasgtdt0(X3,xR,X4) )
& ( X3 = X5
| aReductOfIn0(X5,X3,xR)
| ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,X3,xR)
& sdtmndtplgtdt0(X6,xR,X5) )
| sdtmndtplgtdt0(X3,xR,X5)
| sdtmndtasgtdt0(X3,xR,X5) ) )
=> ( iLess0(X3,X0)
=> ? [X6] :
( aElement0(X6)
& ( X4 = X6
| ( ( aReductOfIn0(X6,X4,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X4,xR)
& sdtmndtplgtdt0(X7,xR,X6) ) )
& sdtmndtplgtdt0(X4,xR,X6) ) )
& sdtmndtasgtdt0(X4,xR,X6)
& ( X5 = X6
| ( ( aReductOfIn0(X6,X5,xR)
| ? [X7] :
( aElement0(X7)
& aReductOfIn0(X7,X5,xR)
& sdtmndtplgtdt0(X7,xR,X6) ) )
& sdtmndtplgtdt0(X5,xR,X6) ) )
& sdtmndtasgtdt0(X5,xR,X6) ) ) )
=> ? [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) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f23,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(f24,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) )
=> ( ! [X5,X6,X7] :
( ( aElement0(X5)
& aElement0(X6)
& aElement0(X7)
& ( X5 = X6
| aReductOfIn0(X6,X5,xR)
| ? [X8] :
( aElement0(X8)
& aReductOfIn0(X8,X5,xR)
& sdtmndtplgtdt0(X8,xR,X6) )
| sdtmndtplgtdt0(X5,xR,X6)
| sdtmndtasgtdt0(X5,xR,X6) )
& ( X5 = X7
| aReductOfIn0(X7,X5,xR)
| ? [X9] :
( aElement0(X9)
& aReductOfIn0(X9,X5,xR)
& sdtmndtplgtdt0(X9,xR,X7) )
| sdtmndtplgtdt0(X5,xR,X7)
| sdtmndtasgtdt0(X5,xR,X7) ) )
=> ( iLess0(X5,X0)
=> ? [X10] :
( aElement0(X10)
& ( X6 = X10
| ( ( aReductOfIn0(X10,X6,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X6,xR)
& sdtmndtplgtdt0(X11,xR,X10) ) )
& sdtmndtplgtdt0(X6,xR,X10) ) )
& sdtmndtasgtdt0(X6,xR,X10)
& ( X7 = X10
| ( ( aReductOfIn0(X10,X7,xR)
| ? [X12] :
( aElement0(X12)
& aReductOfIn0(X12,X7,xR)
& sdtmndtplgtdt0(X12,xR,X10) ) )
& sdtmndtplgtdt0(X7,xR,X10) ) )
& sdtmndtasgtdt0(X7,xR,X10) ) ) )
=> ? [X13] :
( aElement0(X13)
& ( X1 = X13
| aReductOfIn0(X13,X1,xR)
| ? [X14] :
( aElement0(X14)
& aReductOfIn0(X14,X1,xR)
& sdtmndtplgtdt0(X14,xR,X13) )
| sdtmndtplgtdt0(X1,xR,X13)
| sdtmndtasgtdt0(X1,xR,X13) )
& ( X2 = X13
| aReductOfIn0(X13,X2,xR)
| ? [X15] :
( aElement0(X15)
& aReductOfIn0(X15,X2,xR)
& sdtmndtplgtdt0(X15,xR,X13) )
| sdtmndtplgtdt0(X2,xR,X13)
| sdtmndtasgtdt0(X2,xR,X13) ) ) ) ),
inference(rectify,[],[f18]) ).
fof(f33,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(f34,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,[],[f33]) ).
fof(f45,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,[],[f23]) ).
fof(f46,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,[],[f45]) ).
fof(f47,plain,
? [X0,X1,X2] :
( ! [X13] :
( ~ aElement0(X13)
| ( X1 != X13
& ~ aReductOfIn0(X13,X1,xR)
& ! [X14] :
( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X1,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ sdtmndtplgtdt0(X1,xR,X13)
& ~ sdtmndtasgtdt0(X1,xR,X13) )
| ( X2 != X13
& ~ aReductOfIn0(X13,X2,xR)
& ! [X15] :
( ~ aElement0(X15)
| ~ aReductOfIn0(X15,X2,xR)
| ~ sdtmndtplgtdt0(X15,xR,X13) )
& ~ sdtmndtplgtdt0(X2,xR,X13)
& ~ sdtmndtasgtdt0(X2,xR,X13) ) )
& ! [X5,X6,X7] :
( ? [X10] :
( aElement0(X10)
& ( X6 = X10
| ( ( aReductOfIn0(X10,X6,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X6,xR)
& sdtmndtplgtdt0(X11,xR,X10) ) )
& sdtmndtplgtdt0(X6,xR,X10) ) )
& sdtmndtasgtdt0(X6,xR,X10)
& ( X7 = X10
| ( ( aReductOfIn0(X10,X7,xR)
| ? [X12] :
( aElement0(X12)
& aReductOfIn0(X12,X7,xR)
& sdtmndtplgtdt0(X12,xR,X10) ) )
& sdtmndtplgtdt0(X7,xR,X10) ) )
& sdtmndtasgtdt0(X7,xR,X10) )
| ~ iLess0(X5,X0)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ( X5 != X6
& ~ aReductOfIn0(X6,X5,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X5,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6) )
& ~ sdtmndtplgtdt0(X5,xR,X6)
& ~ sdtmndtasgtdt0(X5,xR,X6) )
| ( X5 != X7
& ~ aReductOfIn0(X7,X5,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(X5,xR,X7)
& ~ sdtmndtasgtdt0(X5,xR,X7) ) )
& 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,[],[f24]) ).
fof(f48,plain,
? [X0,X1,X2] :
( ! [X13] :
( ~ aElement0(X13)
| ( X1 != X13
& ~ aReductOfIn0(X13,X1,xR)
& ! [X14] :
( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X1,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ sdtmndtplgtdt0(X1,xR,X13)
& ~ sdtmndtasgtdt0(X1,xR,X13) )
| ( X2 != X13
& ~ aReductOfIn0(X13,X2,xR)
& ! [X15] :
( ~ aElement0(X15)
| ~ aReductOfIn0(X15,X2,xR)
| ~ sdtmndtplgtdt0(X15,xR,X13) )
& ~ sdtmndtplgtdt0(X2,xR,X13)
& ~ sdtmndtasgtdt0(X2,xR,X13) ) )
& ! [X5,X6,X7] :
( ? [X10] :
( aElement0(X10)
& ( X6 = X10
| ( ( aReductOfIn0(X10,X6,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X6,xR)
& sdtmndtplgtdt0(X11,xR,X10) ) )
& sdtmndtplgtdt0(X6,xR,X10) ) )
& sdtmndtasgtdt0(X6,xR,X10)
& ( X7 = X10
| ( ( aReductOfIn0(X10,X7,xR)
| ? [X12] :
( aElement0(X12)
& aReductOfIn0(X12,X7,xR)
& sdtmndtplgtdt0(X12,xR,X10) ) )
& sdtmndtplgtdt0(X7,xR,X10) ) )
& sdtmndtasgtdt0(X7,xR,X10) )
| ~ iLess0(X5,X0)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ( X5 != X6
& ~ aReductOfIn0(X6,X5,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X5,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6) )
& ~ sdtmndtplgtdt0(X5,xR,X6)
& ~ sdtmndtasgtdt0(X5,xR,X6) )
| ( X5 != X7
& ~ aReductOfIn0(X7,X5,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(X5,xR,X7)
& ~ sdtmndtasgtdt0(X5,xR,X7) ) )
& 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,[],[f47]) ).
fof(f55,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(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)
& 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,[],[f46,f55]) ).
fof(f57,definition,
! [X10,X7] :
( X7 = X10
| ( ( aReductOfIn0(X10,X7,xR)
| ? [X12] :
( aElement0(X12)
& aReductOfIn0(X12,X7,xR)
& sdtmndtplgtdt0(X12,xR,X10) ) )
& sdtmndtplgtdt0(X7,xR,X10) )
| ~ sP5(X10,X7) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f58,definition,
! [X6,X7] :
( ? [X10] :
( aElement0(X10)
& ( X6 = X10
| ( ( aReductOfIn0(X10,X6,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X6,xR)
& sdtmndtplgtdt0(X11,xR,X10) ) )
& sdtmndtplgtdt0(X6,xR,X10) ) )
& sdtmndtasgtdt0(X6,xR,X10)
& sP5(X10,X7)
& sdtmndtasgtdt0(X7,xR,X10) )
| ~ sP6(X6,X7) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f59,definition,
! [X7,X5] :
( ( X5 != X7
& ~ aReductOfIn0(X7,X5,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(X5,xR,X7)
& ~ sdtmndtasgtdt0(X5,xR,X7) )
| ~ sP7(X7,X5) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f60,definition,
! [X13,X2] :
( ( X2 != X13
& ~ aReductOfIn0(X13,X2,xR)
& ! [X15] :
( ~ aElement0(X15)
| ~ aReductOfIn0(X15,X2,xR)
| ~ sdtmndtplgtdt0(X15,xR,X13) )
& ~ sdtmndtplgtdt0(X2,xR,X13)
& ~ sdtmndtasgtdt0(X2,xR,X13) )
| ~ sP8(X13,X2) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ! [X13] :
( ~ aElement0(X13)
| ( X1 != X13
& ~ aReductOfIn0(X13,X1,xR)
& ! [X14] :
( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X1,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ sdtmndtplgtdt0(X1,xR,X13)
& ~ sdtmndtasgtdt0(X1,xR,X13) )
| sP8(X13,X2) )
& ! [X5,X6,X7] :
( sP6(X6,X7)
| ~ iLess0(X5,X0)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ( X5 != X6
& ~ aReductOfIn0(X6,X5,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X5,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6) )
& ~ sdtmndtplgtdt0(X5,xR,X6)
& ~ sdtmndtasgtdt0(X5,xR,X6) )
| sP7(X7,X5) )
& 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(definition_folding,[],[f48,f60,f59,f58,f57]) ).
fof(f87,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,[],[f56]) ).
fof(f88,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))],[f87]) ).
fof(f89,plain,
! [X13,X2] :
( ( X2 != X13
& ~ aReductOfIn0(X13,X2,xR)
& ! [X15] :
( ~ aElement0(X15)
| ~ aReductOfIn0(X15,X2,xR)
| ~ sdtmndtplgtdt0(X15,xR,X13) )
& ~ sdtmndtplgtdt0(X2,xR,X13)
& ~ sdtmndtasgtdt0(X2,xR,X13) )
| ~ sP8(X13,X2) ),
inference(nnf_transformation,[],[f60]) ).
fof(f90,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) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
! [X7,X5] :
( ( X5 != X7
& ~ aReductOfIn0(X7,X5,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(X5,xR,X7)
& ~ sdtmndtasgtdt0(X5,xR,X7) )
| ~ sP7(X7,X5) ),
inference(nnf_transformation,[],[f59]) ).
fof(f92,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) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X6,X7] :
( ? [X10] :
( aElement0(X10)
& ( X6 = X10
| ( ( aReductOfIn0(X10,X6,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X6,xR)
& sdtmndtplgtdt0(X11,xR,X10) ) )
& sdtmndtplgtdt0(X6,xR,X10) ) )
& sdtmndtasgtdt0(X6,xR,X10)
& sP5(X10,X7)
& sdtmndtasgtdt0(X7,xR,X10) )
| ~ sP6(X6,X7) ),
inference(nnf_transformation,[],[f58]) ).
fof(f94,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)
& sP5(X2,X1)
& sdtmndtasgtdt0(X1,xR,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ( aElement0(sK25(X0,X1))
& ( sK25(X0,X1) = X0
| ( ( aReductOfIn0(sK25(X0,X1),X0,xR)
| ( aElement0(sK26(X0,X1))
& aReductOfIn0(sK26(X0,X1),X0,xR)
& sdtmndtplgtdt0(sK26(X0,X1),xR,sK25(X0,X1)) ) )
& sdtmndtplgtdt0(X0,xR,sK25(X0,X1)) ) )
& sdtmndtasgtdt0(X0,xR,sK25(X0,X1))
& sP5(sK25(X0,X1),X1)
& sdtmndtasgtdt0(X1,xR,sK25(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X2,sK25(X0,X1)),skolemize(X3,sK26(X0,X1))],[f94]) ).
fof(f99,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) )
| sP8(X3,X2) )
& ! [X5,X6,X7] :
( sP6(X6,X7)
| ~ iLess0(X5,X0)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ( X5 != X6
& ~ aReductOfIn0(X6,X5,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X5,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6) )
& ~ sdtmndtplgtdt0(X5,xR,X6)
& ~ sdtmndtasgtdt0(X5,xR,X6) )
| sP7(X7,X5) )
& aElement0(X0)
& aElement0(X1)
& aElement0(X2)
& ( X0 = X1
| ( ( aReductOfIn0(X1,X0,xR)
| ? [X9] :
( aElement0(X9)
& aReductOfIn0(X9,X0,xR)
& sdtmndtplgtdt0(X9,xR,X1) ) )
& sdtmndtplgtdt0(X0,xR,X1) ) )
& sdtmndtasgtdt0(X0,xR,X1)
& ( X0 = X2
| ( ( aReductOfIn0(X2,X0,xR)
| ? [X10] :
( aElement0(X10)
& aReductOfIn0(X10,X0,xR)
& sdtmndtplgtdt0(X10,xR,X2) ) )
& sdtmndtplgtdt0(X0,xR,X2) ) )
& sdtmndtasgtdt0(X0,xR,X2) ),
inference(rectify,[],[f61]) ).
fof(f100,plain,
( ! [X3] :
( ~ aElement0(X3)
| ( sK29 != X3
& ~ aReductOfIn0(X3,sK29,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,sK29,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3) )
& ~ sdtmndtplgtdt0(sK29,xR,X3)
& ~ sdtmndtasgtdt0(sK29,xR,X3) )
| sP8(X3,sK30) )
& ! [X5,X6,X7] :
( sP6(X6,X7)
| ~ iLess0(X5,sK28)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ( X5 != X6
& ~ aReductOfIn0(X6,X5,xR)
& ! [X8] :
( ~ aElement0(X8)
| ~ aReductOfIn0(X8,X5,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6) )
& ~ sdtmndtplgtdt0(X5,xR,X6)
& ~ sdtmndtasgtdt0(X5,xR,X6) )
| sP7(X7,X5) )
& aElement0(sK28)
& aElement0(sK29)
& aElement0(sK30)
& ( sK28 = sK29
| ( ( aReductOfIn0(sK29,sK28,xR)
| ( aElement0(sK31)
& aReductOfIn0(sK31,sK28,xR)
& sdtmndtplgtdt0(sK31,xR,sK29) ) )
& sdtmndtplgtdt0(sK28,xR,sK29) ) )
& sdtmndtasgtdt0(sK28,xR,sK29)
& ( sK28 = sK30
| ( ( aReductOfIn0(sK30,sK28,xR)
| ( aElement0(sK32)
& aReductOfIn0(sK32,sK28,xR)
& sdtmndtplgtdt0(sK32,xR,sK30) ) )
& sdtmndtplgtdt0(sK28,xR,sK30) ) )
& sdtmndtasgtdt0(sK28,xR,sK30) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X2,sK30),skolemize(X9,sK31),skolemize(X10,sK32)],[f99]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f146,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f152,plain,
! [X6,X5] :
( ~ sdtmndtplgtdt0(X5,xR,X6)
| iLess0(X6,X5)
| ~ aElement0(X5)
| ~ aElement0(X6) ),
inference(cnf_transformation,[],[f88]) ).
fof(f154,plain,
! [X6,X5] :
( ~ aReductOfIn0(X6,X5,xR)
| iLess0(X6,X5)
| ~ aElement0(X5)
| ~ aElement0(X6) ),
inference(cnf_transformation,[],[f88]) ).
fof(f156,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,[],[f88]) ).
fof(f158,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,[],[f88]) ).
fof(f163,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,[],[f88]) ).
fof(f164,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f168,plain,
! [X0,X1] :
( X0 != X1
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f169,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f174,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f176,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f181,plain,
! [X0,X1] :
( aElement0(sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f188,plain,
( sK28 = sK30
| aReductOfIn0(sK30,sK28,xR)
| sdtmndtplgtdt0(sK32,xR,sK30) ),
inference(cnf_transformation,[],[f100]) ).
fof(f189,plain,
( sK28 = sK30
| aReductOfIn0(sK30,sK28,xR)
| aReductOfIn0(sK32,sK28,xR) ),
inference(cnf_transformation,[],[f100]) ).
fof(f190,plain,
( sK28 = sK30
| aReductOfIn0(sK30,sK28,xR)
| aElement0(sK32) ),
inference(cnf_transformation,[],[f100]) ).
fof(f191,plain,
sdtmndtasgtdt0(sK28,xR,sK29),
inference(cnf_transformation,[],[f100]) ).
fof(f192,plain,
( sK28 = sK29
| sdtmndtplgtdt0(sK28,xR,sK29) ),
inference(cnf_transformation,[],[f100]) ).
fof(f193,plain,
( sK28 = sK29
| aReductOfIn0(sK29,sK28,xR)
| sdtmndtplgtdt0(sK31,xR,sK29) ),
inference(cnf_transformation,[],[f100]) ).
fof(f194,plain,
( sK28 = sK29
| aReductOfIn0(sK29,sK28,xR)
| aReductOfIn0(sK31,sK28,xR) ),
inference(cnf_transformation,[],[f100]) ).
fof(f195,plain,
( sK28 = sK29
| aReductOfIn0(sK29,sK28,xR)
| aElement0(sK31) ),
inference(cnf_transformation,[],[f100]) ).
fof(f196,plain,
aElement0(sK30),
inference(cnf_transformation,[],[f100]) ).
fof(f197,plain,
aElement0(sK29),
inference(cnf_transformation,[],[f100]) ).
fof(f198,plain,
aElement0(sK28),
inference(cnf_transformation,[],[f100]) ).
fof(f200,plain,
! [X6,X7,X5] :
( ~ sdtmndtplgtdt0(X5,xR,X6)
| ~ iLess0(X5,sK28)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| sP6(X6,X7)
| sP7(X7,X5) ),
inference(cnf_transformation,[],[f100]) ).
fof(f203,plain,
! [X6,X7,X5] :
( sP6(X6,X7)
| ~ iLess0(X5,sK28)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| X5 != X6
| sP7(X7,X5) ),
inference(cnf_transformation,[],[f100]) ).
fof(f204,plain,
! [X3] :
( ~ sdtmndtasgtdt0(sK29,xR,X3)
| ~ aElement0(X3)
| sP8(X3,sK30) ),
inference(cnf_transformation,[],[f100]) ).
fof(f206,plain,
! [X3,X4] :
( ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,sK29,xR)
| ~ aElement0(X3)
| sP8(X3,sK30) ),
inference(cnf_transformation,[],[f100]) ).
fof(f207,plain,
! [X3] :
( ~ aReductOfIn0(X3,sK29,xR)
| ~ aElement0(X3)
| sP8(X3,sK30) ),
inference(cnf_transformation,[],[f100]) ).
fof(f208,plain,
! [X3] :
( ~ aElement0(X3)
| sK29 != X3
| sP8(X3,sK30) ),
inference(cnf_transformation,[],[f100]) ).
fof(f210,plain,
! [X1] : ~ sP8(X1,X1),
inference(equality_resolution,[],[f168]) ).
fof(f212,plain,
( ~ aElement0(sK29)
| sP8(sK29,sK30) ),
inference(equality_resolution,[],[f208]) ).
fof(f213,plain,
! [X6,X7] :
( sP6(X6,X7)
| ~ iLess0(X6,sK28)
| ~ aElement0(X6)
| ~ aElement0(X6)
| ~ aElement0(X7)
| sP7(X7,X6) ),
inference(equality_resolution,[],[f203]) ).
fof(f214,plain,
! [X6,X7] :
( ~ iLess0(X6,sK28)
| sP6(X6,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| sP7(X7,X6) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f221,definition,
( spl33_2
<=> sK28 = sK30 ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f223,plain,
( sK28 = sK30
| ~ spl33_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f226,definition,
( spl33_3
<=> sdtmndtplgtdt0(sK32,xR,sK30) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f228,plain,
( sdtmndtplgtdt0(sK32,xR,sK30)
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl33_4
<=> aReductOfIn0(sK30,sK28,xR) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f232,plain,
( aReductOfIn0(sK30,sK28,xR)
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl33_3
| spl33_4
| spl33_2 ),
inference(avatar_split_clause,[],[f188,f221,f230,f226]) ).
fof(f235,definition,
( spl33_5
<=> aReductOfIn0(sK32,sK28,xR) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f237,plain,
( aReductOfIn0(sK32,sK28,xR)
| ~ spl33_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( spl33_5
| spl33_4
| spl33_2 ),
inference(avatar_split_clause,[],[f189,f221,f230,f235]) ).
fof(f240,definition,
( spl33_6
<=> aElement0(sK32) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f242,plain,
( aElement0(sK32)
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,plain,
( spl33_6
| spl33_4
| spl33_2 ),
inference(avatar_split_clause,[],[f190,f221,f230,f240]) ).
fof(f245,definition,
( spl33_7
<=> sdtmndtplgtdt0(sK28,xR,sK29) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f247,plain,
( sdtmndtplgtdt0(sK28,xR,sK29)
| ~ spl33_7 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl33_8
<=> sK28 = sK29 ),
introduced(definition,[new_symbols(definition,[spl33_8])],[avatar_definition]) ).
fof(f251,plain,
( sK28 = sK29
| ~ spl33_8 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( spl33_7
| spl33_8 ),
inference(avatar_split_clause,[],[f192,f249,f245]) ).
fof(f254,definition,
( spl33_9
<=> sdtmndtplgtdt0(sK31,xR,sK29) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f256,plain,
( sdtmndtplgtdt0(sK31,xR,sK29)
| ~ spl33_9 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl33_10
<=> aReductOfIn0(sK29,sK28,xR) ),
introduced(definition,[new_symbols(definition,[spl33_10])],[avatar_definition]) ).
fof(f260,plain,
( aReductOfIn0(sK29,sK28,xR)
| ~ spl33_10 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( spl33_9
| spl33_10
| spl33_8 ),
inference(avatar_split_clause,[],[f193,f249,f258,f254]) ).
fof(f263,definition,
( spl33_11
<=> aReductOfIn0(sK31,sK28,xR) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f265,plain,
( aReductOfIn0(sK31,sK28,xR)
| ~ spl33_11 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,plain,
( spl33_11
| spl33_10
| spl33_8 ),
inference(avatar_split_clause,[],[f194,f249,f258,f263]) ).
fof(f268,definition,
( spl33_12
<=> aElement0(sK31) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f270,plain,
( aElement0(sK31)
| ~ spl33_12 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( spl33_12
| spl33_10
| spl33_8 ),
inference(avatar_split_clause,[],[f195,f249,f258,f268]) ).
fof(f272,plain,
sP8(sK29,sK30),
inference(forward_subsumption_resolution,[],[f212,f197]) ).
fof(f282,plain,
( sP8(sK29,sK28)
| ~ spl33_2 ),
inference(superposition,[],[f272,f223]) ).
fof(f283,plain,
~ sP8(sK29,sK28),
inference(resolution,[],[f191,f164]) ).
fof(f284,plain,
( $false
| ~ spl33_2 ),
inference(forward_subsumption_resolution,[],[f283,f282]) ).
fof(f285,plain,
~ spl33_2,
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f335,plain,
! [X0] :
( ~ aElement0(sK25(sK29,X0))
| sP8(sK25(sK29,X0),sK30)
| ~ sP6(sK29,X0) ),
inference(resolution,[],[f204,f176]) ).
fof(f336,plain,
! [X0] :
( sP8(sK25(sK29,X0),sK30)
| ~ sP6(sK29,X0) ),
inference(forward_subsumption_resolution,[],[f335,f181]) ).
fof(f348,plain,
( iLess0(sK29,sK28)
| ~ aElement0(sK28)
| ~ aElement0(sK29)
| ~ spl33_7 ),
inference(resolution,[],[f152,f247]) ).
fof(f388,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK30)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,sK30)) )
| ~ spl33_4 ),
inference(resolution,[],[f158,f232]) ).
fof(f389,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK30)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,sK30)) )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f388,f198]) ).
fof(f391,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK23(X0,sK30))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f389,f196]) ).
fof(f396,plain,
( ~ aReductOfIn0(sK29,sK28,xR)
| ~ aElement0(sK29)
| ~ aElement0(sK23(sK29,sK30))
| sP8(sK23(sK29,sK30),sK30)
| ~ spl33_4 ),
inference(resolution,[],[f391,f204]) ).
fof(f398,plain,
( ~ aElement0(sK29)
| ~ aElement0(sK23(sK29,sK30))
| sP8(sK23(sK29,sK30),sK30)
| ~ spl33_4
| ~ spl33_10 ),
inference(forward_subsumption_resolution,[],[f396,f260]) ).
fof(f399,plain,
( ~ aElement0(sK23(sK29,sK30))
| sP8(sK23(sK29,sK30),sK30)
| ~ spl33_4
| ~ spl33_10 ),
inference(forward_subsumption_resolution,[],[f398,f197]) ).
fof(f401,definition,
( spl33_16
<=> sP8(sK23(sK29,sK30),sK30) ),
introduced(definition,[new_symbols(definition,[spl33_16])],[avatar_definition]) ).
fof(f403,plain,
( sP8(sK23(sK29,sK30),sK30)
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f405,definition,
( spl33_17
<=> aElement0(sK23(sK29,sK30)) ),
introduced(definition,[new_symbols(definition,[spl33_17])],[avatar_definition]) ).
fof(f408,plain,
( spl33_16
| ~ spl33_17
| ~ spl33_4
| ~ spl33_10 ),
inference(avatar_split_clause,[],[f399,f258,f230,f405,f401]) ).
fof(f459,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X0,xR,sK25(X2,X1))
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ aElement0(sK25(X2,X1))
| ~ sP6(X2,X1) ),
inference(resolution,[],[f111,f174]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X0,xR,sK25(X2,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sK25(X2,X1))
| ~ sP6(X2,X1) ),
inference(forward_subsumption_resolution,[],[f459,f146]) ).
fof(f475,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK25(X2,X1))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X1) ),
inference(forward_subsumption_resolution,[],[f470,f181]) ).
fof(f513,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK30)
| ~ aReductOfIn0(X0,sK28,xR)
| aElement0(sK23(X0,sK30)) )
| ~ spl33_4 ),
inference(resolution,[],[f163,f232]) ).
fof(f514,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK30)
| ~ aReductOfIn0(X0,sK28,xR)
| aElement0(sK23(X0,sK30)) )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f513,f198]) ).
fof(f516,plain,
( ! [X0] :
( ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0)
| aElement0(sK23(X0,sK30)) )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f514,f196]) ).
fof(f518,plain,
( ~ aElement0(sK29)
| aElement0(sK23(sK29,sK30))
| ~ spl33_4
| ~ spl33_10 ),
inference(resolution,[],[f516,f260]) ).
fof(f521,plain,
( aElement0(sK23(sK29,sK30))
| ~ spl33_4
| ~ spl33_10 ),
inference(forward_subsumption_resolution,[],[f518,f197]) ).
fof(f536,plain,
( ! [X0] :
( ~ iLess0(sK32,sK28)
| ~ aElement0(sK32)
| ~ aElement0(sK30)
| ~ aElement0(X0)
| sP6(sK30,X0)
| sP7(X0,sK32) )
| ~ spl33_3 ),
inference(resolution,[],[f228,f200]) ).
fof(f538,plain,
( ~ aElement0(sK32)
| ~ aReductOfIn0(sK32,sK29,xR)
| ~ aElement0(sK30)
| sP8(sK30,sK30)
| ~ spl33_3 ),
inference(resolution,[],[f228,f206]) ).
fof(f545,plain,
( ~ aReductOfIn0(sK32,sK29,xR)
| ~ aElement0(sK30)
| sP8(sK30,sK30)
| ~ spl33_3
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f538,f242]) ).
fof(f547,plain,
( ! [X0] :
( ~ iLess0(sK32,sK28)
| ~ aElement0(sK30)
| ~ aElement0(X0)
| sP6(sK30,X0)
| sP7(X0,sK32) )
| ~ spl33_3
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f536,f242]) ).
fof(f555,plain,
( ~ aReductOfIn0(sK32,sK29,xR)
| sP8(sK30,sK30)
| ~ spl33_3
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f545,f196]) ).
fof(f557,plain,
( ! [X0] :
( ~ iLess0(sK32,sK28)
| ~ aElement0(X0)
| sP6(sK30,X0)
| sP7(X0,sK32) )
| ~ spl33_3
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f547,f196]) ).
fof(f563,plain,
( ~ aReductOfIn0(sK32,sK29,xR)
| ~ spl33_3
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f555,f210]) ).
fof(f565,definition,
( spl33_24
<=> ! [X0] :
( ~ aElement0(X0)
| sP7(X0,sK32)
| sP6(sK30,X0) ) ),
introduced(definition,[new_symbols(definition,[spl33_24])],[avatar_definition]) ).
fof(f566,plain,
( ! [X0] :
( sP7(X0,sK32)
| ~ aElement0(X0)
| sP6(sK30,X0) )
| ~ spl33_24 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f568,definition,
( spl33_25
<=> iLess0(sK32,sK28) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f569,plain,
( iLess0(sK32,sK28)
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f570,plain,
( ~ iLess0(sK32,sK28)
| spl33_25 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f571,plain,
( spl33_24
| ~ spl33_25
| ~ spl33_3
| ~ spl33_6 ),
inference(avatar_split_clause,[],[f557,f240,f226,f568,f565]) ).
fof(f572,plain,
( iLess0(sK32,sK28)
| ~ aElement0(sK28)
| ~ aElement0(sK32)
| ~ spl33_5 ),
inference(resolution,[],[f237,f154]) ).
fof(f584,plain,
( ~ aElement0(sK28)
| ~ aElement0(sK32)
| ~ spl33_5
| spl33_25 ),
inference(forward_subsumption_resolution,[],[f572,f570]) ).
fof(f589,plain,
( ~ aElement0(sK32)
| ~ spl33_5
| spl33_25 ),
inference(forward_subsumption_resolution,[],[f584,f198]) ).
fof(f591,plain,
( $false
| ~ spl33_5
| ~ spl33_6
| spl33_25 ),
inference(forward_subsumption_resolution,[],[f589,f242]) ).
fof(f592,plain,
( ~ spl33_5
| ~ spl33_6
| spl33_25 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f594,plain,
( spl33_17
| ~ spl33_4
| ~ spl33_10 ),
inference(avatar_split_clause,[],[f521,f258,f230,f405]) ).
fof(f596,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK30)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(sK30,xR,sK23(X0,sK30)) )
| ~ spl33_4 ),
inference(resolution,[],[f232,f156]) ).
fof(f605,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK30)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(sK30,xR,sK23(X0,sK30)) )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f596,f198]) ).
fof(f608,plain,
( ! [X0] :
( sdtmndtasgtdt0(sK30,xR,sK23(X0,sK30))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_4 ),
inference(forward_subsumption_resolution,[],[f605,f196]) ).
fof(f642,plain,
( ! [X0] :
( ~ sP8(sK23(X0,sK30),sK30)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK28,xR) )
| ~ spl33_4 ),
inference(resolution,[],[f608,f164]) ).
fof(f650,plain,
( ~ aElement0(sK29)
| ~ aReductOfIn0(sK29,sK28,xR)
| ~ spl33_4
| ~ spl33_16 ),
inference(resolution,[],[f642,f403]) ).
fof(f651,plain,
( ~ aReductOfIn0(sK29,sK28,xR)
| ~ spl33_4
| ~ spl33_16 ),
inference(forward_subsumption_resolution,[],[f650,f197]) ).
fof(f652,plain,
( $false
| ~ spl33_4
| ~ spl33_10
| ~ spl33_16 ),
inference(forward_subsumption_resolution,[],[f651,f260]) ).
fof(f653,plain,
( ~ spl33_4
| ~ spl33_10
| ~ spl33_16 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f656,plain,
( iLess0(sK29,sK28)
| ~ aElement0(sK29)
| ~ spl33_7 ),
inference(forward_subsumption_resolution,[],[f348,f198]) ).
fof(f659,plain,
( iLess0(sK29,sK28)
| ~ spl33_7 ),
inference(forward_subsumption_resolution,[],[f656,f197]) ).
fof(f676,plain,
( ! [X0] :
( ~ iLess0(sK31,sK28)
| ~ aElement0(sK31)
| ~ aElement0(sK29)
| ~ aElement0(X0)
| sP6(sK29,X0)
| sP7(X0,sK31) )
| ~ spl33_9 ),
inference(resolution,[],[f256,f200]) ).
fof(f686,plain,
( ! [X0] :
( ~ iLess0(sK31,sK28)
| ~ aElement0(sK29)
| ~ aElement0(X0)
| sP6(sK29,X0)
| sP7(X0,sK31) )
| ~ spl33_9
| ~ spl33_12 ),
inference(forward_subsumption_resolution,[],[f676,f270]) ).
fof(f695,plain,
( ! [X0] :
( ~ iLess0(sK31,sK28)
| ~ aElement0(X0)
| sP6(sK29,X0)
| sP7(X0,sK31) )
| ~ spl33_9
| ~ spl33_12 ),
inference(forward_subsumption_resolution,[],[f686,f197]) ).
fof(f702,definition,
( spl33_26
<=> ! [X0] :
( ~ aElement0(X0)
| sP7(X0,sK31)
| sP6(sK29,X0) ) ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f703,plain,
( ! [X0] :
( sP7(X0,sK31)
| ~ aElement0(X0)
| sP6(sK29,X0) )
| ~ spl33_26 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f705,definition,
( spl33_27
<=> iLess0(sK31,sK28) ),
introduced(definition,[new_symbols(definition,[spl33_27])],[avatar_definition]) ).
fof(f707,plain,
( ~ iLess0(sK31,sK28)
| spl33_27 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f708,plain,
( spl33_26
| ~ spl33_27
| ~ spl33_9
| ~ spl33_12 ),
inference(avatar_split_clause,[],[f695,f268,f254,f705,f702]) ).
fof(f716,plain,
( iLess0(sK31,sK28)
| ~ aElement0(sK28)
| ~ aElement0(sK31)
| ~ spl33_11 ),
inference(resolution,[],[f265,f154]) ).
fof(f717,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK31)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(sK31,xR,sK23(X0,sK31)) )
| ~ spl33_11 ),
inference(resolution,[],[f265,f156]) ).
fof(f718,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK31)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,sK31)) )
| ~ spl33_11 ),
inference(resolution,[],[f265,f158]) ).
fof(f719,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK31)
| ~ aReductOfIn0(X0,sK28,xR)
| aElement0(sK23(X0,sK31)) )
| ~ spl33_11 ),
inference(resolution,[],[f265,f163]) ).
fof(f725,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK31)
| ~ aReductOfIn0(X0,sK28,xR)
| aElement0(sK23(X0,sK31)) )
| ~ spl33_11 ),
inference(forward_subsumption_resolution,[],[f719,f198]) ).
fof(f726,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK31)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,sK31)) )
| ~ spl33_11 ),
inference(forward_subsumption_resolution,[],[f718,f198]) ).
fof(f727,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK31)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(sK31,xR,sK23(X0,sK31)) )
| ~ spl33_11 ),
inference(forward_subsumption_resolution,[],[f717,f198]) ).
fof(f728,plain,
( ~ aElement0(sK28)
| ~ aElement0(sK31)
| ~ spl33_11
| spl33_27 ),
inference(forward_subsumption_resolution,[],[f716,f707]) ).
fof(f730,plain,
( ! [X0] :
( ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0)
| aElement0(sK23(X0,sK31)) )
| ~ spl33_11
| ~ spl33_12 ),
inference(forward_subsumption_resolution,[],[f725,f270]) ).
fof(f731,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK23(X0,sK31))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_11
| ~ spl33_12 ),
inference(forward_subsumption_resolution,[],[f726,f270]) ).
fof(f732,plain,
( ! [X0] :
( sdtmndtasgtdt0(sK31,xR,sK23(X0,sK31))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_11
| ~ spl33_12 ),
inference(forward_subsumption_resolution,[],[f727,f270]) ).
fof(f733,plain,
( ~ aElement0(sK31)
| ~ spl33_11
| spl33_27 ),
inference(forward_subsumption_resolution,[],[f728,f198]) ).
fof(f735,plain,
( $false
| ~ spl33_11
| ~ spl33_12
| spl33_27 ),
inference(forward_subsumption_resolution,[],[f733,f270]) ).
fof(f736,plain,
( ~ spl33_11
| ~ spl33_12
| spl33_27 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f816,plain,
( ! [X0] :
( ~ sP7(sK23(X0,sK31),sK31)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK28,xR) )
| ~ spl33_11
| ~ spl33_12 ),
inference(resolution,[],[f732,f169]) ).
fof(f857,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(sK23(X0,sK31))
| sP6(sK29,sK23(X0,sK31)) )
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(resolution,[],[f816,f703]) ).
fof(f858,plain,
( ! [X0] :
( sP6(sK29,sK23(X0,sK31))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f857,f730]) ).
fof(f1065,plain,
! [X2,X0,X1] :
( ~ sP7(sK25(X2,X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X1)
| ~ sdtmndtasgtdt0(X0,xR,X1) ),
inference(resolution,[],[f475,f169]) ).
fof(f1066,plain,
! [X2,X0,X1] :
( ~ sP8(sK25(X2,X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sP6(X2,X1)
| ~ sdtmndtasgtdt0(X0,xR,X1) ),
inference(resolution,[],[f475,f164]) ).
fof(f1093,plain,
! [X0] :
( ~ aElement0(sK30)
| ~ aElement0(X0)
| ~ sP6(sK29,X0)
| ~ sdtmndtasgtdt0(sK30,xR,X0)
| ~ sP6(sK29,X0) ),
inference(resolution,[],[f1066,f336]) ).
fof(f1096,plain,
! [X0] :
( ~ aElement0(sK30)
| ~ aElement0(X0)
| ~ sP6(sK29,X0)
| ~ sdtmndtasgtdt0(sK30,xR,X0) ),
inference(duplicate_literal_removal,[],[f1093]) ).
fof(f1097,plain,
! [X0] :
( ~ sdtmndtasgtdt0(sK30,xR,X0)
| ~ sP6(sK29,X0)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f1096,f196]) ).
fof(f1102,plain,
! [X0] :
( ~ sP6(sK29,sK25(sK30,X0))
| ~ aElement0(sK25(sK30,X0))
| ~ sP6(sK30,X0) ),
inference(resolution,[],[f1097,f176]) ).
fof(f1104,plain,
( ~ sP6(sK29,sK23(sK30,sK31))
| ~ aElement0(sK23(sK30,sK31))
| ~ aReductOfIn0(sK30,sK28,xR)
| ~ aElement0(sK30)
| ~ spl33_11
| ~ spl33_12 ),
inference(resolution,[],[f1097,f731]) ).
fof(f1107,plain,
( ~ aElement0(sK23(sK30,sK31))
| ~ aReductOfIn0(sK30,sK28,xR)
| ~ aElement0(sK30)
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1104,f858]) ).
fof(f1109,plain,
! [X0] :
( ~ sP6(sK29,sK25(sK30,X0))
| ~ sP6(sK30,X0) ),
inference(forward_subsumption_resolution,[],[f1102,f181]) ).
fof(f1114,plain,
( ~ aReductOfIn0(sK30,sK28,xR)
| ~ aElement0(sK30)
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1107,f730]) ).
fof(f1118,plain,
( ~ aElement0(sK30)
| ~ spl33_4
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1114,f232]) ).
fof(f1120,plain,
( $false
| ~ spl33_4
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1118,f196]) ).
fof(f1121,plain,
( ~ spl33_4
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
fof(f1133,plain,
( ! [X0] :
( ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0)
| sP8(X0,sK30) )
| ~ spl33_8 ),
inference(superposition,[],[f207,f251]) ).
fof(f1145,plain,
( ~ aReductOfIn0(sK32,sK28,xR)
| ~ spl33_3
| ~ spl33_6
| ~ spl33_8 ),
inference(superposition,[],[f563,f251]) ).
fof(f1148,plain,
( ~ aElement0(sK30)
| sP8(sK30,sK30)
| ~ spl33_4
| ~ spl33_8 ),
inference(resolution,[],[f1133,f232]) ).
fof(f1149,plain,
( sP8(sK30,sK30)
| ~ spl33_4
| ~ spl33_8 ),
inference(forward_subsumption_resolution,[],[f1148,f196]) ).
fof(f1150,plain,
( $false
| ~ spl33_4
| ~ spl33_8 ),
inference(forward_subsumption_resolution,[],[f1149,f210]) ).
fof(f1151,plain,
( ~ spl33_4
| ~ spl33_8 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1152,plain,
( $false
| ~ spl33_3
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8 ),
inference(forward_subsumption_resolution,[],[f1145,f237]) ).
fof(f1153,plain,
( ~ spl33_3
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1199,plain,
( ! [X0,X1] :
( ~ aElement0(sK25(X0,X1))
| sP6(sK30,sK25(X0,X1))
| ~ aElement0(sK32)
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK32,xR,X1) )
| ~ spl33_24 ),
inference(resolution,[],[f566,f1065]) ).
fof(f1202,plain,
( ! [X0,X1] :
( ~ aElement0(sK25(X0,X1))
| sP6(sK30,sK25(X0,X1))
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK32,xR,X1) )
| ~ spl33_6
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1199,f242]) ).
fof(f1206,plain,
( ! [X0,X1] :
( sP6(sK30,sK25(X0,X1))
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK32,xR,X1) )
| ~ spl33_6
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1202,f181]) ).
fof(f1207,plain,
( ! [X0] :
( sP6(sK32,X0)
| ~ aElement0(sK32)
| ~ aElement0(X0)
| sP7(X0,sK32) )
| ~ spl33_25 ),
inference(resolution,[],[f569,f214]) ).
fof(f1208,plain,
( ! [X0] :
( sP7(X0,sK32)
| ~ aElement0(X0)
| sP6(sK32,X0) )
| ~ spl33_6
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f1207,f242]) ).
fof(f1215,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK32)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(sK32,xR,sK23(X0,sK32)) )
| ~ spl33_5 ),
inference(resolution,[],[f237,f156]) ).
fof(f1217,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK32)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,sK32)) )
| ~ spl33_5 ),
inference(resolution,[],[f237,f158]) ).
fof(f1218,plain,
( ! [X0] :
( ~ aElement0(sK28)
| ~ aElement0(X0)
| ~ aElement0(sK32)
| ~ aReductOfIn0(X0,sK28,xR)
| aElement0(sK23(X0,sK32)) )
| ~ spl33_5 ),
inference(resolution,[],[f237,f163]) ).
fof(f1224,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK32)
| ~ aReductOfIn0(X0,sK28,xR)
| aElement0(sK23(X0,sK32)) )
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f1218,f198]) ).
fof(f1225,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK32)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(X0,xR,sK23(X0,sK32)) )
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f1217,f198]) ).
fof(f1227,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK32)
| ~ aReductOfIn0(X0,sK28,xR)
| sdtmndtasgtdt0(sK32,xR,sK23(X0,sK32)) )
| ~ spl33_5 ),
inference(forward_subsumption_resolution,[],[f1215,f198]) ).
fof(f1228,plain,
( ! [X0] :
( ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0)
| aElement0(sK23(X0,sK32)) )
| ~ spl33_5
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f1224,f242]) ).
fof(f1229,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK23(X0,sK32))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_5
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f1225,f242]) ).
fof(f1231,plain,
( ! [X0] :
( sdtmndtasgtdt0(sK32,xR,sK23(X0,sK32))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_5
| ~ spl33_6 ),
inference(forward_subsumption_resolution,[],[f1227,f242]) ).
fof(f1302,plain,
( ! [X0] :
( sP6(sK29,X0)
| ~ aElement0(sK29)
| ~ aElement0(X0)
| sP7(X0,sK29) )
| ~ spl33_7 ),
inference(resolution,[],[f659,f214]) ).
fof(f1303,plain,
( ! [X0] :
( sP7(X0,sK29)
| ~ aElement0(X0)
| sP6(sK29,X0) )
| ~ spl33_7 ),
inference(forward_subsumption_resolution,[],[f1302,f197]) ).
fof(f1307,plain,
( ! [X0,X1] :
( ~ aElement0(sK25(X0,X1))
| sP6(sK29,sK25(X0,X1))
| ~ aElement0(sK29)
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK29,xR,X1) )
| ~ spl33_7 ),
inference(resolution,[],[f1303,f1065]) ).
fof(f1310,plain,
( ! [X0,X1] :
( ~ aElement0(sK25(X0,X1))
| sP6(sK29,sK25(X0,X1))
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK29,xR,X1) )
| ~ spl33_7 ),
inference(forward_subsumption_resolution,[],[f1307,f197]) ).
fof(f1315,plain,
( ! [X0,X1] :
( sP6(sK29,sK25(X0,X1))
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK29,xR,X1) )
| ~ spl33_7 ),
inference(forward_subsumption_resolution,[],[f1310,f181]) ).
fof(f1380,plain,
( ! [X0] :
( ~ sP7(sK23(X0,sK32),sK32)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK28,xR) )
| ~ spl33_5
| ~ spl33_6 ),
inference(resolution,[],[f1231,f169]) ).
fof(f1429,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(sK23(X0,sK32))
| sP6(sK32,sK23(X0,sK32)) )
| ~ spl33_5
| ~ spl33_6
| ~ spl33_25 ),
inference(resolution,[],[f1380,f1208]) ).
fof(f1430,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(sK23(X0,sK32))
| sP6(sK30,sK23(X0,sK32)) )
| ~ spl33_5
| ~ spl33_6
| ~ spl33_24 ),
inference(resolution,[],[f1380,f566]) ).
fof(f1431,plain,
( ! [X0] :
( sP6(sK30,sK23(X0,sK32))
| ~ aReductOfIn0(X0,sK28,xR)
| ~ aElement0(X0) )
| ~ spl33_5
| ~ spl33_6
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1430,f1228]) ).
fof(f1432,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ aReductOfIn0(X0,sK28,xR)
| sP6(sK32,sK23(X0,sK32)) )
| ~ spl33_5
| ~ spl33_6
| ~ spl33_25 ),
inference(forward_subsumption_resolution,[],[f1429,f1228]) ).
fof(f1550,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ sP6(sK30,X0)
| ~ sdtmndtasgtdt0(sK29,xR,X0)
| ~ sP6(sK30,X0) )
| ~ spl33_7 ),
inference(resolution,[],[f1315,f1109]) ).
fof(f1553,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK29,xR,X0)
| ~ sP6(sK30,X0)
| ~ aElement0(X0) )
| ~ spl33_7 ),
inference(duplicate_literal_removal,[],[f1550]) ).
fof(f1567,plain,
( ! [X0] :
( ~ sP6(sK30,sK25(sK29,X0))
| ~ aElement0(sK25(sK29,X0))
| ~ sP6(sK29,X0) )
| ~ spl33_7 ),
inference(resolution,[],[f1553,f176]) ).
fof(f1568,plain,
( ~ sP6(sK30,sK23(sK29,sK32))
| ~ aElement0(sK23(sK29,sK32))
| ~ aReductOfIn0(sK29,sK28,xR)
| ~ aElement0(sK29)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7 ),
inference(resolution,[],[f1553,f1229]) ).
fof(f1573,plain,
( ~ aElement0(sK23(sK29,sK32))
| ~ aReductOfIn0(sK29,sK28,xR)
| ~ aElement0(sK29)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1568,f1431]) ).
fof(f1574,plain,
( ! [X0] :
( ~ sP6(sK30,sK25(sK29,X0))
| ~ sP6(sK29,X0) )
| ~ spl33_7 ),
inference(forward_subsumption_resolution,[],[f1567,f181]) ).
fof(f1580,plain,
( ~ aReductOfIn0(sK29,sK28,xR)
| ~ aElement0(sK29)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1573,f1228]) ).
fof(f1584,plain,
( ~ aElement0(sK29)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_10
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1580,f260]) ).
fof(f1585,plain,
( $false
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_10
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1584,f197]) ).
fof(f1586,plain,
( ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_10
| ~ spl33_24 ),
inference(avatar_contradiction_clause,[],[f1585]) ).
fof(f1599,plain,
( ! [X0,X1] :
( ~ aElement0(sK25(X0,X1))
| sP6(sK29,sK25(X0,X1))
| ~ aElement0(sK31)
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK31,xR,X1) )
| ~ spl33_26 ),
inference(resolution,[],[f703,f1065]) ).
fof(f1602,plain,
( ! [X0,X1] :
( ~ aElement0(sK25(X0,X1))
| sP6(sK29,sK25(X0,X1))
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK31,xR,X1) )
| ~ spl33_12
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1599,f270]) ).
fof(f1606,plain,
( ! [X0,X1] :
( sP6(sK29,sK25(X0,X1))
| ~ aElement0(X1)
| ~ sP6(X0,X1)
| ~ sdtmndtasgtdt0(sK31,xR,X1) )
| ~ spl33_12
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1602,f181]) ).
fof(f1622,plain,
( ! [X0] :
( ~ sP6(sK29,X0)
| ~ aElement0(X0)
| ~ sP6(sK29,X0)
| ~ sdtmndtasgtdt0(sK32,xR,X0) )
| ~ spl33_6
| ~ spl33_7
| ~ spl33_24 ),
inference(resolution,[],[f1574,f1206]) ).
fof(f1625,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK32,xR,X0)
| ~ aElement0(X0)
| ~ sP6(sK29,X0) )
| ~ spl33_6
| ~ spl33_7
| ~ spl33_24 ),
inference(duplicate_literal_removal,[],[f1622]) ).
fof(f1771,plain,
( ! [X0] :
( ~ aElement0(sK25(sK32,X0))
| ~ sP6(sK29,sK25(sK32,X0))
| ~ sP6(sK32,X0) )
| ~ spl33_6
| ~ spl33_7
| ~ spl33_24 ),
inference(resolution,[],[f1625,f176]) ).
fof(f1778,plain,
( ! [X0] :
( ~ sP6(sK29,sK25(sK32,X0))
| ~ sP6(sK32,X0) )
| ~ spl33_6
| ~ spl33_7
| ~ spl33_24 ),
inference(forward_subsumption_resolution,[],[f1771,f181]) ).
fof(f1866,plain,
( ! [X0] :
( ~ aElement0(X0)
| ~ sP6(sK32,X0)
| ~ sdtmndtasgtdt0(sK31,xR,X0)
| ~ sP6(sK32,X0) )
| ~ spl33_6
| ~ spl33_7
| ~ spl33_12
| ~ spl33_24
| ~ spl33_26 ),
inference(resolution,[],[f1606,f1778]) ).
fof(f1867,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK31,xR,X0)
| ~ sP6(sK32,X0)
| ~ aElement0(X0) )
| ~ spl33_6
| ~ spl33_7
| ~ spl33_12
| ~ spl33_24
| ~ spl33_26 ),
inference(duplicate_literal_removal,[],[f1866]) ).
fof(f1889,plain,
( ~ sP6(sK32,sK23(sK31,sK32))
| ~ aElement0(sK23(sK31,sK32))
| ~ aReductOfIn0(sK31,sK28,xR)
| ~ aElement0(sK31)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_12
| ~ spl33_24
| ~ spl33_26 ),
inference(resolution,[],[f1867,f1229]) ).
fof(f1894,plain,
( ~ aElement0(sK23(sK31,sK32))
| ~ aReductOfIn0(sK31,sK28,xR)
| ~ aElement0(sK31)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_12
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1889,f1432]) ).
fof(f1901,plain,
( ~ aReductOfIn0(sK31,sK28,xR)
| ~ aElement0(sK31)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_12
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1894,f1228]) ).
fof(f1905,plain,
( ~ aElement0(sK31)
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_11
| ~ spl33_12
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1901,f265]) ).
fof(f1906,plain,
( $false
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_11
| ~ spl33_12
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f1905,f270]) ).
fof(f1907,plain,
( ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_11
| ~ spl33_12
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26 ),
inference(avatar_contradiction_clause,[],[f1906]) ).
cnf(s2,plain,
( spl33_2
| spl33_3
| spl33_4 ),
inference(sat_conversion,[],[f233]) ).
cnf(s3,plain,
( spl33_2
| spl33_4
| spl33_5 ),
inference(sat_conversion,[],[f238]) ).
cnf(s4,plain,
( spl33_2
| spl33_4
| spl33_6 ),
inference(sat_conversion,[],[f243]) ).
cnf(s5,plain,
( spl33_7
| spl33_8 ),
inference(sat_conversion,[],[f252]) ).
cnf(s6,plain,
( spl33_8
| spl33_9
| spl33_10 ),
inference(sat_conversion,[],[f261]) ).
cnf(s7,plain,
( spl33_8
| spl33_10
| spl33_11 ),
inference(sat_conversion,[],[f266]) ).
cnf(s8,plain,
( spl33_8
| spl33_10
| spl33_12 ),
inference(sat_conversion,[],[f271]) ).
cnf(s10,plain,
~ spl33_2,
inference(sat_conversion,[],[f285]) ).
cnf(s13,plain,
( ~ spl33_4
| ~ spl33_10
| spl33_16
| ~ spl33_17 ),
inference(sat_conversion,[],[f408]) ).
cnf(s19,plain,
( ~ spl33_3
| ~ spl33_6
| spl33_24
| ~ spl33_25 ),
inference(sat_conversion,[],[f571]) ).
cnf(s20,plain,
( ~ spl33_5
| ~ spl33_6
| spl33_25 ),
inference(sat_conversion,[],[f592]) ).
cnf(s22,plain,
( ~ spl33_4
| ~ spl33_10
| spl33_17 ),
inference(sat_conversion,[],[f594]) ).
cnf(s23,plain,
( ~ spl33_4
| ~ spl33_10
| ~ spl33_16 ),
inference(sat_conversion,[],[f653]) ).
cnf(s26,plain,
( ~ spl33_9
| ~ spl33_12
| spl33_26
| ~ spl33_27 ),
inference(sat_conversion,[],[f708]) ).
cnf(s27,plain,
( ~ spl33_11
| ~ spl33_12
| spl33_27 ),
inference(sat_conversion,[],[f736]) ).
cnf(s43,plain,
( ~ spl33_4
| ~ spl33_11
| ~ spl33_12
| ~ spl33_26 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s46,plain,
( ~ spl33_4
| ~ spl33_8 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s47,plain,
( ~ spl33_3
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s54,plain,
( ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_10
| ~ spl33_24 ),
inference(sat_conversion,[],[f1586]) ).
cnf(s60,plain,
( ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_11
| ~ spl33_12
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s61,plain,
( spl33_4
| spl33_6 ),
inference(rat,[],[s4,s10]) ).
cnf(s62,plain,
( spl33_4
| spl33_5 ),
inference(rat,[],[s3,s10]) ).
cnf(s63,plain,
( spl33_3
| spl33_4 ),
inference(rat,[],[s2,s10]) ).
cnf(s65,plain,
( ~ spl33_10
| ~ spl33_4 ),
inference(rat,[],[s13,s22,s23]) ).
cnf(s66,plain,
~ spl33_4,
inference(rat,[],[s26,s27,s43,s6,s7,s8,s65,s46]) ).
cnf(s67,plain,
spl33_6,
inference(rat,[],[s61,s66]) ).
cnf(s68,plain,
spl33_5,
inference(rat,[],[s62,s66]) ).
cnf(s69,plain,
spl33_3,
inference(rat,[],[s63,s66]) ).
cnf(s70,plain,
~ spl33_8,
inference(rat,[],[s47,s67,s69,s68]) ).
cnf(s71,plain,
spl33_25,
inference(rat,[],[s20,s67,s68]) ).
cnf(s72,plain,
spl33_24,
inference(rat,[],[s19,s71,s67,s69]) ).
cnf(s73,plain,
spl33_7,
inference(rat,[],[s5,s70]) ).
cnf(s74,plain,
~ spl33_10,
inference(rat,[],[s54,s72,s68,s67,s73]) ).
cnf(s75,plain,
spl33_12,
inference(rat,[],[s8,s70,s74]) ).
cnf(s76,plain,
spl33_11,
inference(rat,[],[s7,s70,s74]) ).
cnf(s77,plain,
spl33_9,
inference(rat,[],[s6,s70,s74]) ).
cnf(s78,plain,
spl33_27,
inference(rat,[],[s27,s75,s76]) ).
cnf(s79,plain,
~ spl33_26,
inference(rat,[],[s60,s73,s71,s72,s67,s68,s75,s76]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s26,s78,s75,s79,s77]) ).
fof(f1908,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM015+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % 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 21:45:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 6.67/1.92 % (1612084)Detected formulas, will run a generic FOF schedule.
% 6.67/1.92 % (1612093)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=437318350:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.67/1.92 % (1612094)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3636398497:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.67/1.92 % (1612095)dis-21_1_sil=8000:lcm=predicate:random_seed=1357685612: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)
% 6.67/1.92 % (1612091)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=3770828321:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.67/1.92 % (1612089)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=3700529645:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.67/1.92 % (1612092)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1036336860:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.67/1.92 % (1612090)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=2748720534:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.67/1.92 % (1612093)Instruction limit reached!
% 6.67/1.92 % (1612093)------------------------------
% 6.67/1.92 % (1612093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612093)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612093)Termination reason: Instruction limit
% 6.67/1.92 % (1612093)Termination phase: Saturation
% 6.67/1.92 % (1612093)Time elapsed: 0.035 s
% 6.67/1.92 % (1612093)Peak memory usage: 88 MB
% 6.67/1.92 % (1612093)Instructions burned: 120 (million)
% 6.67/1.92 % (1612092)Instruction limit reached!
% 6.67/1.92 % (1612092)------------------------------
% 6.67/1.92 % (1612092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612092)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612092)Termination reason: Instruction limit
% 6.67/1.92 % (1612092)Termination phase: Saturation
% 6.67/1.92 % (1612092)Time elapsed: 0.063 s
% 6.67/1.92 % (1612092)Peak memory usage: 89 MB
% 6.67/1.92 % (1612092)Instructions burned: 110 (million)
% 6.67/1.92 % (1612095)Instruction limit reached!
% 6.67/1.92 % (1612095)------------------------------
% 6.67/1.92 % (1612095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612095)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612095)Termination reason: Instruction limit
% 6.67/1.92 % (1612095)Termination phase: Saturation
% 6.67/1.92 % (1612095)Time elapsed: 0.073 s
% 6.67/1.92 % (1612095)Peak memory usage: 90 MB
% 6.67/1.92 % (1612095)Instructions burned: 131 (million)
% 6.67/1.92 % (1612094)Instruction limit reached!
% 6.67/1.92 % (1612094)------------------------------
% 6.67/1.92 % (1612094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612094)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612094)Termination reason: Instruction limit
% 6.67/1.92 % (1612094)Termination phase: Saturation
% 6.67/1.92 % (1612094)Time elapsed: 0.097 s
% 6.67/1.92 % (1612094)Peak memory usage: 90 MB
% 6.67/1.92 % (1612094)Instructions burned: 139 (million)
% 6.67/1.92 % (1612103)lrs+10_1_sil=8000:sp=occurrence:random_seed=4240802960:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.67/1.92 % (1612103)Instruction limit reached!
% 6.67/1.92 % (1612103)------------------------------
% 6.67/1.92 % (1612103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612103)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612103)Termination reason: Instruction limit
% 6.67/1.92 % (1612103)Termination phase: Saturation
% 6.67/1.92 % (1612103)Time elapsed: 0.091 s
% 6.67/1.92 % (1612103)Peak memory usage: 91 MB
% 6.67/1.92 % (1612103)Instructions burned: 286 (million)
% 6.67/1.92 % (1612104)lrs+10_1_sil=32000:urr=on:br=off:random_seed=742606461:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.67/1.92 % (1612105)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2430820753:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.67/1.92 % (1612106)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=3260363860:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.67/1.92 % (1612104)Instruction limit reached!
% 6.67/1.92 % (1612104)------------------------------
% 6.67/1.92 % (1612104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612104)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612104)Termination reason: Instruction limit
% 6.67/1.92 % (1612104)Termination phase: Saturation
% 6.67/1.92 % (1612104)Time elapsed: 0.087 s
% 6.67/1.92 % (1612104)Peak memory usage: 90 MB
% 6.67/1.92 % (1612104)Instructions burned: 158 (million)
% 6.67/1.92 % (1612108)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=673753779:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.67/1.92 % (1612106)Instruction limit reached!
% 6.67/1.92 % (1612106)------------------------------
% 6.67/1.92 % (1612106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612106)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612106)Termination reason: Instruction limit
% 6.67/1.92 % (1612106)Termination phase: Saturation
% 6.67/1.92 % (1612106)Time elapsed: 0.133 s
% 6.67/1.92 % (1612106)Peak memory usage: 90 MB
% 6.67/1.92 % (1612106)Instructions burned: 248 (million)
% 6.67/1.92 % (1612108)Instruction limit reached!
% 6.67/1.92 % (1612108)------------------------------
% 6.67/1.92 % (1612108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612108)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612108)Termination reason: Instruction limit
% 6.67/1.92 % (1612108)Termination phase: Saturation
% 6.67/1.92 % (1612108)Time elapsed: 0.086 s
% 6.67/1.92 % (1612108)Peak memory usage: 89 MB
% 6.67/1.92 % (1612108)Instructions burned: 294 (million)
% 6.67/1.92 % (1612105)Instruction limit reached!
% 6.67/1.92 % (1612105)------------------------------
% 6.67/1.92 % (1612105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612105)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612105)Termination reason: Instruction limit
% 6.67/1.92 % (1612105)Termination phase: Saturation
% 6.67/1.92 % (1612105)Time elapsed: 0.220 s
% 6.67/1.92 % (1612105)Peak memory usage: 92 MB
% 6.67/1.92 % (1612105)Instructions burned: 325 (million)
% 6.67/1.92 % (1612112)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2692223812:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.67/1.92 % (1612115)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1254280833:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.67/1.92 % (1612114)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=118305420:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.67/1.92 % (1612115)Instruction limit reached!
% 6.67/1.92 % (1612115)------------------------------
% 6.67/1.92 % (1612115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612115)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612115)Termination reason: Instruction limit
% 6.67/1.92 % (1612115)Termination phase: Saturation
% 6.67/1.92 % (1612115)Time elapsed: 0.037 s
% 6.67/1.92 % (1612115)Peak memory usage: 89 MB
% 6.67/1.92 % (1612115)Instructions burned: 130 (million)
% 6.67/1.92 % (1612116)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=590074203:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.67/1.92 % (1612114)Instruction limit reached!
% 6.67/1.92 % (1612114)------------------------------
% 6.67/1.92 % (1612114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612114)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612114)Termination reason: Instruction limit
% 6.67/1.92 % (1612114)Termination phase: Saturation
% 6.67/1.92 % (1612114)Time elapsed: 0.074 s
% 6.67/1.92 % (1612114)Peak memory usage: 90 MB
% 6.67/1.92 % (1612114)Instructions burned: 114 (million)
% 6.67/1.92 % (1612116)Instruction limit reached!
% 6.67/1.92 % (1612116)------------------------------
% 6.67/1.92 % (1612116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612116)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612116)Termination reason: Instruction limit
% 6.67/1.92 % (1612116)Termination phase: Saturation
% 6.67/1.92 % (1612116)Time elapsed: 0.072 s
% 6.67/1.92 % (1612116)Peak memory usage: 89 MB
% 6.67/1.92 % (1612116)Instructions burned: 114 (million)
% 6.67/1.92 % (1612120)lrs+10_1_sil=8000:sp=occurrence:random_seed=3389213547:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.67/1.92 % (1612122)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=684171065:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.67/1.92 % (1612089)First to succeed.
% 6.67/1.92 % (1612089)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1612084"
% 6.67/1.92 % (1612124)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3955006884:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.67/1.92 % (1612120)Instruction limit reached!
% 6.67/1.92 % (1612120)------------------------------
% 6.67/1.92 % (1612120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612120)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612120)Termination reason: Instruction limit
% 6.67/1.92 % (1612120)Termination phase: Saturation
% 6.67/1.92 % (1612120)Time elapsed: 0.263 s
% 6.67/1.92 % (1612120)Peak memory usage: 95 MB
% 6.67/1.92 % (1612120)Instructions burned: 913 (million)
% 6.67/1.92 % (1612122)Instruction limit reached!
% 6.67/1.92 % (1612122)------------------------------
% 6.67/1.92 % (1612122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.92 % (1612122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.92 % (1612122)CaDiCaL version: 2.1.3
% 6.67/1.92 % (1612122)Termination reason: Instruction limit
% 6.67/1.92 % (1612122)Termination phase: Saturation
% 6.67/1.92 % (1612122)Time elapsed: 0.244 s
% 6.67/1.92 % (1612122)Peak memory usage: 91 MB
% 6.67/1.92 % (1612122)Instructions burned: 438 (million)
% 6.67/1.92 % (1612089)Refutation found. Thanks to Tanya!
% 6.67/1.92 % SZS status Theorem for theBenchmark
% 6.67/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 9.38/2.11 % (1612089)------------------------------
% 9.38/2.11 % (1612089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.11 % (1612089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.11 % (1612089)CaDiCaL version: 2.1.3
% 9.38/2.11 % (1612089)Termination reason: Refutation
% 9.38/2.11 % (1612089)Time elapsed: 0.813 s
% 9.38/2.11 % (1612089)Peak memory usage: 130 MB
% 9.38/2.11 % (1612089)Instructions burned: 1194 (million)
% 9.38/2.11 % (1612089)------------------------------
% 9.38/2.11 % (1612089)------------------------------
% 9.38/2.11 % (1612084)Success in time 1.243 s
% 9.38/2.11 % Vampire exiting
%------------------------------------------------------------------------------