%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN723+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:01:20 PM UTC 2026
% Result : Theorem 2.99s 1.12s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 72
% Syntax : Number of formulae : 579 ( 25 unt; 71 def)
% Number of atoms : 2390 ( 0 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 2824 (1013 ~;1515 |; 150 &)
% ( 144 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 76 ( 75 usr; 72 prp; 0-1 aty)
% Number of functors : 46 ( 46 usr; 39 con; 0-1 aty)
% Number of variables : 468 ( 0 sgn 336 !; 132 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ? [X0] : q(X0)
<=> ! [X1] : r(X1) )
<=> ( ( ? [X0] :
! [X1] :
( q(X0)
<=> q(X1) )
<=> ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) ) )
<=> ( ? [X0] :
! [X1] :
( r(X0)
<=> r(X1) )
<=> ( ( ? [X0] : s(X0)
<=> ! [X1] : p(X1) )
<=> ( ? [X0] :
! [X1] :
( s(X0)
<=> s(X1) )
<=> ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm138) ).
fof(f2,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ? [X0] : q(X0)
<=> ! [X1] : r(X1) )
<=> ( ( ? [X0] :
! [X1] :
( q(X0)
<=> q(X1) )
<=> ( ? [X0] : r(X0)
<=> ! [X1] : s(X1) ) )
<=> ( ? [X0] :
! [X1] :
( r(X0)
<=> r(X1) )
<=> ( ( ? [X0] : s(X0)
<=> ! [X1] : p(X1) )
<=> ( ? [X0] :
! [X1] :
( s(X0)
<=> s(X1) )
<=> ( ? [X0] : p(X0)
<=> ! [X1] : q(X1) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<=> ( ( ? [X2] : q(X2)
<=> ! [X3] : r(X3) )
<=> ( ( ? [X4] :
! [X5] :
( q(X4)
<=> q(X5) )
<=> ( ? [X6] : r(X6)
<=> ! [X7] : s(X7) ) )
<=> ( ? [X8] :
! [X9] :
( r(X8)
<=> r(X9) )
<=> ( ( ? [X10] : s(X10)
<=> ! [X11] : p(X11) )
<=> ( ? [X12] :
! [X13] :
( s(X12)
<=> s(X13) )
<=> ( ? [X14] : p(X14)
<=> ! [X15] : q(X15) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<~> ( ( ? [X2] : q(X2)
<=> ! [X3] : r(X3) )
<=> ( ( ? [X4] :
! [X5] :
( q(X4)
<=> q(X5) )
<=> ( ? [X6] : r(X6)
<=> ! [X7] : s(X7) ) )
<=> ( ? [X8] :
! [X9] :
( r(X8)
<=> r(X9) )
<=> ( ( ? [X10] : s(X10)
<=> ! [X11] : p(X11) )
<=> ( ? [X12] :
! [X13] :
( s(X12)
<=> s(X13) )
<=> ( ? [X14] : p(X14)
<=> ! [X15] : q(X15) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,definition,
( sP0
<=> ( ? [X12] :
! [X13] :
( s(X12)
<=> s(X13) )
<=> ( ? [X14] : p(X14)
<=> ! [X15] : q(X15) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f6,definition,
( sP1
<=> ( ( ? [X10] : s(X10)
<=> ! [X11] : p(X11) )
<=> sP0 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f7,definition,
( sP2
<=> ( ? [X4] :
! [X5] :
( q(X4)
<=> q(X5) )
<=> ( ? [X6] : r(X6)
<=> ! [X7] : s(X7) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f8,definition,
( sP3
<=> ( ? [X8] :
! [X9] :
( r(X8)
<=> r(X9) )
<=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f9,definition,
( sP4
<=> ( ( ? [X2] : q(X2)
<=> ! [X3] : r(X3) )
<=> ( sP2
<=> sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f10,plain,
( ? [X0] :
! [X1] :
( p(X0)
<=> p(X1) )
<~> sP4 ),
inference(definition_folding,[],[f4,f9,f8,f7,f6,f5]) ).
fof(f11,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ? [X3] : ~ r(X3)
| ! [X2] : ~ q(X2) )
& ( ! [X3] : r(X3)
| ? [X2] : q(X2) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X2] : q(X2)
| ? [X3] : ~ r(X3) )
& ( ! [X3] : r(X3)
| ! [X2] : ~ q(X2) ) ) ) ) )
& ( ( ( ( ( ? [X2] : q(X2)
| ? [X3] : ~ r(X3) )
& ( ! [X3] : r(X3)
| ! [X2] : ~ q(X2) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X3] : ~ r(X3)
| ! [X2] : ~ q(X2) )
& ( ! [X3] : r(X3)
| ? [X2] : q(X2) ) ) ) )
| ~ sP4 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f12,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ? [X0] : ~ r(X0)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| ? [X3] : q(X3) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X4] : q(X4)
| ? [X5] : ~ r(X5) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) ) ) ) )
& ( ( ( ( ( ? [X8] : q(X8)
| ? [X9] : ~ r(X9) )
& ( ! [X10] : r(X10)
| ! [X11] : ~ q(X11) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ? [X12] : ~ r(X12)
| ! [X13] : ~ q(X13) )
& ( ! [X14] : r(X14)
| ? [X15] : q(X15) ) ) ) )
| ~ sP4 ) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
( ( sP4
| ( ( ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) )
| ( ( ~ r(sK5)
| ! [X1] : ~ q(X1) )
& ( ! [X2] : r(X2)
| q(sK6) ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( q(sK7)
| ~ r(sK8) )
& ( ! [X6] : r(X6)
| ! [X7] : ~ q(X7) ) ) ) ) )
& ( ( ( ( ( q(sK9)
| ~ r(sK10) )
& ( ! [X10] : r(X10)
| ! [X11] : ~ q(X11) ) )
| ( ( ~ sP3
| ~ sP2 )
& ( sP3
| sP2 ) ) )
& ( ( ( sP2
| ~ sP3 )
& ( sP3
| ~ sP2 ) )
| ( ( ~ r(sK11)
| ! [X13] : ~ q(X13) )
& ( ! [X14] : r(X14)
| q(sK12) ) ) ) )
| ~ sP4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X8,sK9),skolemize(X9,sK10),skolemize(X12,sK11),skolemize(X15,sK12)],[f12]) ).
fof(f14,plain,
( ( sP3
| ( ( ~ sP1
| ! [X8] :
? [X9] :
( ( ~ r(X9)
| ~ r(X8) )
& ( r(X9)
| r(X8) ) ) )
& ( sP1
| ? [X8] :
! [X9] :
( ( r(X8)
| ~ r(X9) )
& ( r(X9)
| ~ r(X8) ) ) ) ) )
& ( ( ( ? [X8] :
! [X9] :
( ( r(X8)
| ~ r(X9) )
& ( r(X9)
| ~ r(X8) ) )
| ~ sP1 )
& ( sP1
| ! [X8] :
? [X9] :
( ( ~ r(X9)
| ~ r(X8) )
& ( r(X9)
| r(X8) ) ) ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f15,plain,
( ( sP3
| ( ( ~ sP1
| ! [X0] :
? [X1] :
( ( ~ r(X1)
| ~ r(X0) )
& ( r(X1)
| r(X0) ) ) )
& ( sP1
| ? [X2] :
! [X3] :
( ( r(X2)
| ~ r(X3) )
& ( r(X3)
| ~ r(X2) ) ) ) ) )
& ( ( ( ? [X4] :
! [X5] :
( ( r(X4)
| ~ r(X5) )
& ( r(X5)
| ~ r(X4) ) )
| ~ sP1 )
& ( sP1
| ! [X6] :
? [X7] :
( ( ~ r(X7)
| ~ r(X6) )
& ( r(X7)
| r(X6) ) ) ) )
| ~ sP3 ) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
( ( sP3
| ( ( ~ sP1
| ! [X0] :
( ( ~ r(sK13(X0))
| ~ r(X0) )
& ( r(sK13(X0))
| r(X0) ) ) )
& ( sP1
| ! [X3] :
( ( r(sK14)
| ~ r(X3) )
& ( r(X3)
| ~ r(sK14) ) ) ) ) )
& ( ( ( ! [X5] :
( ( r(sK15)
| ~ r(X5) )
& ( r(X5)
| ~ r(sK15) ) )
| ~ sP1 )
& ( sP1
| ! [X6] :
( ( ~ r(sK16(X6))
| ~ r(X6) )
& ( r(sK16(X6))
| r(X6) ) ) ) )
| ~ sP3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16]),skolemize(X1,sK13(X0)),skolemize(X2,sK14),skolemize(X4,sK15),skolemize(X7,sK16(X6))],[f15]) ).
fof(f17,plain,
( ( sP2
| ( ( ( ( ? [X7] : ~ s(X7)
| ! [X6] : ~ r(X6) )
& ( ! [X7] : s(X7)
| ? [X6] : r(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ q(X5)
| ~ q(X4) )
& ( q(X5)
| q(X4) ) ) )
& ( ( ( ? [X6] : r(X6)
| ? [X7] : ~ s(X7) )
& ( ! [X7] : s(X7)
| ! [X6] : ~ r(X6) ) )
| ? [X4] :
! [X5] :
( ( q(X4)
| ~ q(X5) )
& ( q(X5)
| ~ q(X4) ) ) ) ) )
& ( ( ( ? [X4] :
! [X5] :
( ( q(X4)
| ~ q(X5) )
& ( q(X5)
| ~ q(X4) ) )
| ( ( ? [X7] : ~ s(X7)
| ! [X6] : ~ r(X6) )
& ( ! [X7] : s(X7)
| ? [X6] : r(X6) ) ) )
& ( ( ( ? [X6] : r(X6)
| ? [X7] : ~ s(X7) )
& ( ! [X7] : s(X7)
| ! [X6] : ~ r(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ q(X5)
| ~ q(X4) )
& ( q(X5)
| q(X4) ) ) ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f18,plain,
( ( sP2
| ( ( ( ( ? [X0] : ~ s(X0)
| ! [X1] : ~ r(X1) )
& ( ! [X2] : s(X2)
| ? [X3] : r(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ q(X5)
| ~ q(X4) )
& ( q(X5)
| q(X4) ) ) )
& ( ( ( ? [X6] : r(X6)
| ? [X7] : ~ s(X7) )
& ( ! [X8] : s(X8)
| ! [X9] : ~ r(X9) ) )
| ? [X10] :
! [X11] :
( ( q(X10)
| ~ q(X11) )
& ( q(X11)
| ~ q(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( q(X12)
| ~ q(X13) )
& ( q(X13)
| ~ q(X12) ) )
| ( ( ? [X14] : ~ s(X14)
| ! [X15] : ~ r(X15) )
& ( ! [X16] : s(X16)
| ? [X17] : r(X17) ) ) )
& ( ( ( ? [X18] : r(X18)
| ? [X19] : ~ s(X19) )
& ( ! [X20] : s(X20)
| ! [X21] : ~ r(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ q(X23)
| ~ q(X22) )
& ( q(X23)
| q(X22) ) ) ) )
| ~ sP2 ) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
( ( sP2
| ( ( ( ( ~ s(sK17)
| ! [X1] : ~ r(X1) )
& ( ! [X2] : s(X2)
| r(sK18) ) )
| ! [X4] :
( ( ~ q(sK19(X4))
| ~ q(X4) )
& ( q(sK19(X4))
| q(X4) ) ) )
& ( ( ( r(sK20)
| ~ s(sK21) )
& ( ! [X8] : s(X8)
| ! [X9] : ~ r(X9) ) )
| ! [X11] :
( ( q(sK22)
| ~ q(X11) )
& ( q(X11)
| ~ q(sK22) ) ) ) ) )
& ( ( ( ! [X13] :
( ( q(sK23)
| ~ q(X13) )
& ( q(X13)
| ~ q(sK23) ) )
| ( ( ~ s(sK24)
| ! [X15] : ~ r(X15) )
& ( ! [X16] : s(X16)
| r(sK25) ) ) )
& ( ( ( r(sK26)
| ~ s(sK27) )
& ( ! [X20] : s(X20)
| ! [X21] : ~ r(X21) ) )
| ! [X22] :
( ( ~ q(sK28(X22))
| ~ q(X22) )
& ( q(sK28(X22))
| q(X22) ) ) ) )
| ~ sP2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK17),skolemize(X3,sK18),skolemize(X5,sK19(X4)),skolemize(X6,sK20),skolemize(X7,sK21),skolemize(X10,sK22),skolemize(X12,sK23),skolemize(X14,sK24),skolemize(X17,sK25),skolemize(X18,sK26),skolemize(X19,sK27),skolemize(X23,sK28(X22))],[f18]) ).
fof(f20,plain,
( ( sP1
| ( ( ~ sP0
| ( ( ? [X11] : ~ p(X11)
| ! [X10] : ~ s(X10) )
& ( ! [X11] : p(X11)
| ? [X10] : s(X10) ) ) )
& ( sP0
| ( ( ? [X10] : s(X10)
| ? [X11] : ~ p(X11) )
& ( ! [X11] : p(X11)
| ! [X10] : ~ s(X10) ) ) ) ) )
& ( ( ( ( ( ? [X10] : s(X10)
| ? [X11] : ~ p(X11) )
& ( ! [X11] : p(X11)
| ! [X10] : ~ s(X10) ) )
| ~ sP0 )
& ( sP0
| ( ( ? [X11] : ~ p(X11)
| ! [X10] : ~ s(X10) )
& ( ! [X11] : p(X11)
| ? [X10] : s(X10) ) ) ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f21,plain,
( ( sP1
| ( ( ~ sP0
| ( ( ? [X0] : ~ p(X0)
| ! [X1] : ~ s(X1) )
& ( ! [X2] : p(X2)
| ? [X3] : s(X3) ) ) )
& ( sP0
| ( ( ? [X4] : s(X4)
| ? [X5] : ~ p(X5) )
& ( ! [X6] : p(X6)
| ! [X7] : ~ s(X7) ) ) ) ) )
& ( ( ( ( ( ? [X8] : s(X8)
| ? [X9] : ~ p(X9) )
& ( ! [X10] : p(X10)
| ! [X11] : ~ s(X11) ) )
| ~ sP0 )
& ( sP0
| ( ( ? [X12] : ~ p(X12)
| ! [X13] : ~ s(X13) )
& ( ! [X14] : p(X14)
| ? [X15] : s(X15) ) ) ) )
| ~ sP1 ) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
( ( sP1
| ( ( ~ sP0
| ( ( ~ p(sK29)
| ! [X1] : ~ s(X1) )
& ( ! [X2] : p(X2)
| s(sK30) ) ) )
& ( sP0
| ( ( s(sK31)
| ~ p(sK32) )
& ( ! [X6] : p(X6)
| ! [X7] : ~ s(X7) ) ) ) ) )
& ( ( ( ( ( s(sK33)
| ~ p(sK34) )
& ( ! [X10] : p(X10)
| ! [X11] : ~ s(X11) ) )
| ~ sP0 )
& ( sP0
| ( ( ~ p(sK35)
| ! [X13] : ~ s(X13) )
& ( ! [X14] : p(X14)
| s(sK36) ) ) ) )
| ~ sP1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36]),skolemize(X0,sK29),skolemize(X3,sK30),skolemize(X4,sK31),skolemize(X5,sK32),skolemize(X8,sK33),skolemize(X9,sK34),skolemize(X12,sK35),skolemize(X15,sK36)],[f21]) ).
fof(f23,plain,
( ( sP0
| ( ( ( ( ? [X15] : ~ q(X15)
| ! [X14] : ~ p(X14) )
& ( ! [X15] : q(X15)
| ? [X14] : p(X14) ) )
| ! [X12] :
? [X13] :
( ( ~ s(X13)
| ~ s(X12) )
& ( s(X13)
| s(X12) ) ) )
& ( ( ( ? [X14] : p(X14)
| ? [X15] : ~ q(X15) )
& ( ! [X15] : q(X15)
| ! [X14] : ~ p(X14) ) )
| ? [X12] :
! [X13] :
( ( s(X12)
| ~ s(X13) )
& ( s(X13)
| ~ s(X12) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( s(X12)
| ~ s(X13) )
& ( s(X13)
| ~ s(X12) ) )
| ( ( ? [X15] : ~ q(X15)
| ! [X14] : ~ p(X14) )
& ( ! [X15] : q(X15)
| ? [X14] : p(X14) ) ) )
& ( ( ( ? [X14] : p(X14)
| ? [X15] : ~ q(X15) )
& ( ! [X15] : q(X15)
| ! [X14] : ~ p(X14) ) )
| ! [X12] :
? [X13] :
( ( ~ s(X13)
| ~ s(X12) )
& ( s(X13)
| s(X12) ) ) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f24,plain,
( ( sP0
| ( ( ( ( ? [X0] : ~ q(X0)
| ! [X1] : ~ p(X1) )
& ( ! [X2] : q(X2)
| ? [X3] : p(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ s(X5)
| ~ s(X4) )
& ( s(X5)
| s(X4) ) ) )
& ( ( ( ? [X6] : p(X6)
| ? [X7] : ~ q(X7) )
& ( ! [X8] : q(X8)
| ! [X9] : ~ p(X9) ) )
| ? [X10] :
! [X11] :
( ( s(X10)
| ~ s(X11) )
& ( s(X11)
| ~ s(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( s(X12)
| ~ s(X13) )
& ( s(X13)
| ~ s(X12) ) )
| ( ( ? [X14] : ~ q(X14)
| ! [X15] : ~ p(X15) )
& ( ! [X16] : q(X16)
| ? [X17] : p(X17) ) ) )
& ( ( ( ? [X18] : p(X18)
| ? [X19] : ~ q(X19) )
& ( ! [X20] : q(X20)
| ! [X21] : ~ p(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ s(X23)
| ~ s(X22) )
& ( s(X23)
| s(X22) ) ) ) )
| ~ sP0 ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
( ( sP0
| ( ( ( ( ~ q(sK37)
| ! [X1] : ~ p(X1) )
& ( ! [X2] : q(X2)
| p(sK38) ) )
| ! [X4] :
( ( ~ s(sK39(X4))
| ~ s(X4) )
& ( s(sK39(X4))
| s(X4) ) ) )
& ( ( ( p(sK40)
| ~ q(sK41) )
& ( ! [X8] : q(X8)
| ! [X9] : ~ p(X9) ) )
| ! [X11] :
( ( s(sK42)
| ~ s(X11) )
& ( s(X11)
| ~ s(sK42) ) ) ) ) )
& ( ( ( ! [X13] :
( ( s(sK43)
| ~ s(X13) )
& ( s(X13)
| ~ s(sK43) ) )
| ( ( ~ q(sK44)
| ! [X15] : ~ p(X15) )
& ( ! [X16] : q(X16)
| p(sK45) ) ) )
& ( ( ( p(sK46)
| ~ q(sK47) )
& ( ! [X20] : q(X20)
| ! [X21] : ~ p(X21) ) )
| ! [X22] :
( ( ~ s(sK48(X22))
| ~ s(X22) )
& ( s(sK48(X22))
| s(X22) ) ) ) )
| ~ sP0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48]),skolemize(X0,sK37),skolemize(X3,sK38),skolemize(X5,sK39(X4)),skolemize(X6,sK40),skolemize(X7,sK41),skolemize(X10,sK42),skolemize(X12,sK43),skolemize(X14,sK44),skolemize(X17,sK45),skolemize(X18,sK46),skolemize(X19,sK47),skolemize(X23,sK48(X22))],[f24]) ).
fof(f26,plain,
( ( ~ sP4
| ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) ) )
& ( sP4
| ? [X0] :
! [X1] :
( ( p(X0)
| ~ p(X1) )
& ( p(X1)
| ~ p(X0) ) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f27,plain,
( ( ~ sP4
| ! [X0] :
? [X1] :
( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) ) )
& ( sP4
| ? [X2] :
! [X3] :
( ( p(X2)
| ~ p(X3) )
& ( p(X3)
| ~ p(X2) ) ) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
( ( ~ sP4
| ! [X0] :
( ( ~ p(sK49(X0))
| ~ p(X0) )
& ( p(sK49(X0))
| p(X0) ) ) )
& ( sP4
| ! [X3] :
( ( p(sK50)
| ~ p(X3) )
& ( p(X3)
| ~ p(sK50) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49,sK50]),skolemize(X1,sK49(X0)),skolemize(X2,sK50)],[f27]) ).
fof(f29,plain,
! [X14] :
( sP3
| ~ sP2
| r(X14)
| q(sK12)
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X13] :
( sP3
| ~ sP2
| ~ r(sK11)
| ~ q(X13)
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X14] :
( sP2
| ~ sP3
| r(X14)
| q(sK12)
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X13] :
( sP2
| ~ sP3
| ~ r(sK11)
| ~ q(X13)
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f33,plain,
! [X10,X11] :
( r(X10)
| ~ q(X11)
| sP3
| sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X10,X11] :
( r(X10)
| ~ q(X11)
| ~ sP3
| ~ sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
( q(sK9)
| ~ r(sK10)
| sP3
| sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
( q(sK9)
| ~ r(sK10)
| ~ sP3
| ~ sP2
| ~ sP4 ),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X6,X7] :
( sP4
| sP3
| ~ sP2
| r(X6)
| ~ q(X7) ),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
( sP4
| sP3
| ~ sP2
| q(sK7)
| ~ r(sK8) ),
inference(cnf_transformation,[],[f13]) ).
fof(f39,plain,
! [X6,X7] :
( sP4
| sP2
| ~ sP3
| r(X6)
| ~ q(X7) ),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
( sP4
| sP2
| ~ sP3
| q(sK7)
| ~ r(sK8) ),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
! [X2] :
( sP4
| sP3
| sP2
| r(X2)
| q(sK6) ),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
! [X1] :
( sP4
| sP3
| sP2
| ~ r(sK5)
| ~ q(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f43,plain,
! [X2] :
( sP4
| ~ sP3
| ~ sP2
| r(X2)
| q(sK6) ),
inference(cnf_transformation,[],[f13]) ).
fof(f44,plain,
! [X1] :
( sP4
| ~ sP3
| ~ sP2
| ~ r(sK5)
| ~ q(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f45,plain,
! [X6] :
( sP1
| r(sK16(X6))
| r(X6)
| ~ sP3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X6] :
( sP1
| ~ r(sK16(X6))
| ~ r(X6)
| ~ sP3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f47,plain,
! [X5] :
( r(X5)
| ~ r(sK15)
| ~ sP1
| ~ sP3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f48,plain,
! [X5] :
( r(sK15)
| ~ r(X5)
| ~ sP1
| ~ sP3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f49,plain,
! [X3] :
( sP3
| sP1
| r(X3)
| ~ r(sK14) ),
inference(cnf_transformation,[],[f16]) ).
fof(f50,plain,
! [X3] :
( sP3
| sP1
| r(sK14)
| ~ r(X3) ),
inference(cnf_transformation,[],[f16]) ).
fof(f51,plain,
! [X0] :
( sP3
| ~ sP1
| r(sK13(X0))
| r(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f52,plain,
! [X0] :
( sP3
| ~ sP1
| ~ r(sK13(X0))
| ~ r(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f53,plain,
! [X21,X22,X20] :
( s(X20)
| ~ r(X21)
| q(sK28(X22))
| q(X22)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f54,plain,
! [X21,X22,X20] :
( s(X20)
| ~ r(X21)
| ~ q(sK28(X22))
| ~ q(X22)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f55,plain,
! [X22] :
( r(sK26)
| ~ s(sK27)
| q(sK28(X22))
| q(X22)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f56,plain,
! [X22] :
( r(sK26)
| ~ s(sK27)
| ~ q(sK28(X22))
| ~ q(X22)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f57,plain,
! [X16,X13] :
( q(X13)
| ~ q(sK23)
| s(X16)
| r(sK25)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f58,plain,
! [X15,X13] :
( q(X13)
| ~ q(sK23)
| ~ s(sK24)
| ~ r(X15)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f59,plain,
! [X16,X13] :
( q(sK23)
| ~ q(X13)
| s(X16)
| r(sK25)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f60,plain,
! [X15,X13] :
( q(sK23)
| ~ q(X13)
| ~ s(sK24)
| ~ r(X15)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f61,plain,
! [X11,X8,X9] :
( sP2
| s(X8)
| ~ r(X9)
| q(X11)
| ~ q(sK22) ),
inference(cnf_transformation,[],[f19]) ).
fof(f62,plain,
! [X11,X8,X9] :
( sP2
| s(X8)
| ~ r(X9)
| q(sK22)
| ~ q(X11) ),
inference(cnf_transformation,[],[f19]) ).
fof(f63,plain,
! [X11] :
( sP2
| r(sK20)
| ~ s(sK21)
| q(X11)
| ~ q(sK22) ),
inference(cnf_transformation,[],[f19]) ).
fof(f64,plain,
! [X11] :
( sP2
| r(sK20)
| ~ s(sK21)
| q(sK22)
| ~ q(X11) ),
inference(cnf_transformation,[],[f19]) ).
fof(f65,plain,
! [X2,X4] :
( sP2
| s(X2)
| r(sK18)
| q(sK19(X4))
| q(X4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f66,plain,
! [X2,X4] :
( sP2
| s(X2)
| r(sK18)
| ~ q(sK19(X4))
| ~ q(X4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f67,plain,
! [X1,X4] :
( sP2
| ~ s(sK17)
| ~ r(X1)
| q(sK19(X4))
| q(X4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f68,plain,
! [X1,X4] :
( sP2
| ~ s(sK17)
| ~ r(X1)
| ~ q(sK19(X4))
| ~ q(X4) ),
inference(cnf_transformation,[],[f19]) ).
fof(f69,plain,
! [X14] :
( sP0
| p(X14)
| s(sK36)
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f70,plain,
! [X13] :
( sP0
| ~ p(sK35)
| ~ s(X13)
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f71,plain,
! [X10,X11] :
( p(X10)
| ~ s(X11)
| ~ sP0
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f72,plain,
( s(sK33)
| ~ p(sK34)
| ~ sP0
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f73,plain,
! [X6,X7] :
( sP1
| sP0
| p(X6)
| ~ s(X7) ),
inference(cnf_transformation,[],[f22]) ).
fof(f74,plain,
( sP1
| sP0
| s(sK31)
| ~ p(sK32) ),
inference(cnf_transformation,[],[f22]) ).
fof(f75,plain,
! [X2] :
( sP1
| ~ sP0
| p(X2)
| s(sK30) ),
inference(cnf_transformation,[],[f22]) ).
fof(f76,plain,
! [X1] :
( sP1
| ~ sP0
| ~ p(sK29)
| ~ s(X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f77,plain,
! [X21,X22,X20] :
( q(X20)
| ~ p(X21)
| s(sK48(X22))
| s(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f78,plain,
! [X21,X22,X20] :
( q(X20)
| ~ p(X21)
| ~ s(sK48(X22))
| ~ s(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f79,plain,
! [X22] :
( p(sK46)
| ~ q(sK47)
| s(sK48(X22))
| s(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f80,plain,
! [X22] :
( p(sK46)
| ~ q(sK47)
| ~ s(sK48(X22))
| ~ s(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f81,plain,
! [X16,X13] :
( s(X13)
| ~ s(sK43)
| q(X16)
| p(sK45)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f82,plain,
! [X15,X13] :
( s(X13)
| ~ s(sK43)
| ~ q(sK44)
| ~ p(X15)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f83,plain,
! [X16,X13] :
( s(sK43)
| ~ s(X13)
| q(X16)
| p(sK45)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f84,plain,
! [X15,X13] :
( s(sK43)
| ~ s(X13)
| ~ q(sK44)
| ~ p(X15)
| ~ sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f85,plain,
! [X11,X8,X9] :
( sP0
| q(X8)
| ~ p(X9)
| s(X11)
| ~ s(sK42) ),
inference(cnf_transformation,[],[f25]) ).
fof(f86,plain,
! [X11,X8,X9] :
( sP0
| q(X8)
| ~ p(X9)
| s(sK42)
| ~ s(X11) ),
inference(cnf_transformation,[],[f25]) ).
fof(f87,plain,
! [X11] :
( sP0
| p(sK40)
| ~ q(sK41)
| s(X11)
| ~ s(sK42) ),
inference(cnf_transformation,[],[f25]) ).
fof(f88,plain,
! [X11] :
( sP0
| p(sK40)
| ~ q(sK41)
| s(sK42)
| ~ s(X11) ),
inference(cnf_transformation,[],[f25]) ).
fof(f89,plain,
! [X2,X4] :
( sP0
| q(X2)
| p(sK38)
| s(sK39(X4))
| s(X4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f90,plain,
! [X2,X4] :
( sP0
| q(X2)
| p(sK38)
| ~ s(sK39(X4))
| ~ s(X4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f91,plain,
! [X1,X4] :
( sP0
| ~ q(sK37)
| ~ p(X1)
| s(sK39(X4))
| s(X4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f92,plain,
! [X1,X4] :
( sP0
| ~ q(sK37)
| ~ p(X1)
| ~ s(sK39(X4))
| ~ s(X4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f93,plain,
! [X3] :
( sP4
| p(X3)
| ~ p(sK50) ),
inference(cnf_transformation,[],[f28]) ).
fof(f94,plain,
! [X3] :
( sP4
| p(sK50)
| ~ p(X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f95,plain,
! [X0] :
( ~ sP4
| p(sK49(X0))
| p(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f96,plain,
! [X0] :
( ~ sP4
| ~ p(sK49(X0))
| ~ p(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f98,definition,
( spl51_1
<=> p(sK50) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f101,definition,
( spl51_2
<=> ! [X3] : p(X3) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f102,plain,
( ! [X3] : p(X3)
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,definition,
( spl51_3
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f106,plain,
( ~ spl51_1
| spl51_2
| spl51_3 ),
inference(avatar_split_clause,[],[f93,f104,f101,f98]) ).
fof(f108,definition,
( spl51_4
<=> ! [X3] : ~ p(X3) ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f109,plain,
( ! [X3] : ~ p(X3)
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl51_4
| spl51_1
| spl51_3 ),
inference(avatar_split_clause,[],[f94,f104,f98,f108]) ).
fof(f113,definition,
( spl51_5
<=> ! [X0] :
( p(sK49(X0))
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f114,plain,
( ! [X0] :
( p(sK49(X0))
| p(X0) )
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl51_5
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f95,f104,f113]) ).
fof(f118,definition,
( spl51_6
<=> ! [X0] :
( ~ p(sK49(X0))
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
fof(f119,plain,
( ! [X0] :
( ~ p(sK49(X0))
| ~ p(X0) )
| ~ spl51_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( spl51_6
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f96,f104,f118]) ).
fof(f122,definition,
( spl51_7
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl51_7])],[avatar_definition]) ).
fof(f125,definition,
( spl51_8
<=> ! [X22] :
( s(sK48(X22))
| s(X22) ) ),
introduced(definition,[new_symbols(definition,[spl51_8])],[avatar_definition]) ).
fof(f126,plain,
( ! [X22] :
( s(sK48(X22))
| s(X22) )
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,definition,
( spl51_9
<=> ! [X20] : q(X20) ),
introduced(definition,[new_symbols(definition,[spl51_9])],[avatar_definition]) ).
fof(f129,plain,
( ! [X20] : q(X20)
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
( ~ spl51_7
| spl51_8
| spl51_4
| spl51_9 ),
inference(avatar_split_clause,[],[f77,f128,f108,f125,f122]) ).
fof(f132,definition,
( spl51_10
<=> ! [X22] :
( ~ s(sK48(X22))
| ~ s(X22) ) ),
introduced(definition,[new_symbols(definition,[spl51_10])],[avatar_definition]) ).
fof(f133,plain,
( ! [X22] :
( ~ s(sK48(X22))
| ~ s(X22) )
| ~ spl51_10 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( ~ spl51_7
| spl51_10
| spl51_4
| spl51_9 ),
inference(avatar_split_clause,[],[f78,f128,f108,f132,f122]) ).
fof(f136,definition,
( spl51_11
<=> q(sK47) ),
introduced(definition,[new_symbols(definition,[spl51_11])],[avatar_definition]) ).
fof(f137,plain,
( ~ q(sK47)
| spl51_11 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,definition,
( spl51_12
<=> p(sK46) ),
introduced(definition,[new_symbols(definition,[spl51_12])],[avatar_definition]) ).
fof(f140,plain,
( p(sK46)
| ~ spl51_12 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( ~ spl51_7
| spl51_8
| ~ spl51_11
| spl51_12 ),
inference(avatar_split_clause,[],[f79,f139,f136,f125,f122]) ).
fof(f142,plain,
( ~ spl51_7
| spl51_10
| ~ spl51_11
| spl51_12 ),
inference(avatar_split_clause,[],[f80,f139,f136,f132,f122]) ).
fof(f144,definition,
( spl51_13
<=> p(sK45) ),
introduced(definition,[new_symbols(definition,[spl51_13])],[avatar_definition]) ).
fof(f145,plain,
( p(sK45)
| ~ spl51_13 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,definition,
( spl51_14
<=> s(sK43) ),
introduced(definition,[new_symbols(definition,[spl51_14])],[avatar_definition]) ).
fof(f150,definition,
( spl51_15
<=> ! [X13] : s(X13) ),
introduced(definition,[new_symbols(definition,[spl51_15])],[avatar_definition]) ).
fof(f151,plain,
( ! [X13] : s(X13)
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( ~ spl51_7
| spl51_13
| spl51_9
| ~ spl51_14
| spl51_15 ),
inference(avatar_split_clause,[],[f81,f150,f147,f128,f144,f122]) ).
fof(f154,definition,
( spl51_16
<=> q(sK44) ),
introduced(definition,[new_symbols(definition,[spl51_16])],[avatar_definition]) ).
fof(f155,plain,
( ~ q(sK44)
| spl51_16 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( ~ spl51_7
| spl51_4
| ~ spl51_16
| ~ spl51_14
| spl51_15 ),
inference(avatar_split_clause,[],[f82,f150,f147,f154,f108,f122]) ).
fof(f158,definition,
( spl51_17
<=> ! [X13] : ~ s(X13) ),
introduced(definition,[new_symbols(definition,[spl51_17])],[avatar_definition]) ).
fof(f159,plain,
( ! [X13] : ~ s(X13)
| ~ spl51_17 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( ~ spl51_7
| spl51_13
| spl51_9
| spl51_17
| spl51_14 ),
inference(avatar_split_clause,[],[f83,f147,f158,f128,f144,f122]) ).
fof(f162,plain,
( ~ spl51_7
| spl51_4
| ~ spl51_16
| spl51_17
| spl51_14 ),
inference(avatar_split_clause,[],[f84,f147,f158,f154,f108,f122]) ).
fof(f164,definition,
( spl51_18
<=> s(sK42) ),
introduced(definition,[new_symbols(definition,[spl51_18])],[avatar_definition]) ).
fof(f167,plain,
( ~ spl51_18
| spl51_15
| spl51_4
| spl51_9
| spl51_7 ),
inference(avatar_split_clause,[],[f85,f122,f128,f108,f150,f164]) ).
fof(f169,plain,
( spl51_17
| spl51_18
| spl51_4
| spl51_9
| spl51_7 ),
inference(avatar_split_clause,[],[f86,f122,f128,f108,f164,f158]) ).
fof(f171,definition,
( spl51_19
<=> q(sK41) ),
introduced(definition,[new_symbols(definition,[spl51_19])],[avatar_definition]) ).
fof(f172,plain,
( ~ q(sK41)
| spl51_19 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,definition,
( spl51_20
<=> p(sK40) ),
introduced(definition,[new_symbols(definition,[spl51_20])],[avatar_definition]) ).
fof(f175,plain,
( p(sK40)
| ~ spl51_20 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( ~ spl51_18
| spl51_15
| ~ spl51_19
| spl51_20
| spl51_7 ),
inference(avatar_split_clause,[],[f87,f122,f174,f171,f150,f164]) ).
fof(f177,plain,
( spl51_17
| spl51_18
| ~ spl51_19
| spl51_20
| spl51_7 ),
inference(avatar_split_clause,[],[f88,f122,f174,f171,f164,f158]) ).
fof(f179,definition,
( spl51_21
<=> ! [X4] :
( s(sK39(X4))
| s(X4) ) ),
introduced(definition,[new_symbols(definition,[spl51_21])],[avatar_definition]) ).
fof(f180,plain,
( ! [X4] :
( s(sK39(X4))
| s(X4) )
| ~ spl51_21 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,definition,
( spl51_22
<=> p(sK38) ),
introduced(definition,[new_symbols(definition,[spl51_22])],[avatar_definition]) ).
fof(f183,plain,
( p(sK38)
| ~ spl51_22 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( spl51_21
| spl51_22
| spl51_9
| spl51_7 ),
inference(avatar_split_clause,[],[f89,f122,f128,f182,f179]) ).
fof(f186,definition,
( spl51_23
<=> ! [X4] :
( ~ s(sK39(X4))
| ~ s(X4) ) ),
introduced(definition,[new_symbols(definition,[spl51_23])],[avatar_definition]) ).
fof(f187,plain,
( ! [X4] :
( ~ s(sK39(X4))
| ~ s(X4) )
| ~ spl51_23 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( spl51_23
| spl51_22
| spl51_9
| spl51_7 ),
inference(avatar_split_clause,[],[f90,f122,f128,f182,f186]) ).
fof(f190,definition,
( spl51_24
<=> q(sK37) ),
introduced(definition,[new_symbols(definition,[spl51_24])],[avatar_definition]) ).
fof(f191,plain,
( ~ q(sK37)
| spl51_24 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f192,plain,
( spl51_21
| spl51_4
| ~ spl51_24
| spl51_7 ),
inference(avatar_split_clause,[],[f91,f122,f190,f108,f179]) ).
fof(f193,plain,
( spl51_23
| spl51_4
| ~ spl51_24
| spl51_7 ),
inference(avatar_split_clause,[],[f92,f122,f190,f108,f186]) ).
fof(f195,definition,
( spl51_25
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl51_25])],[avatar_definition]) ).
fof(f198,definition,
( spl51_26
<=> s(sK36) ),
introduced(definition,[new_symbols(definition,[spl51_26])],[avatar_definition]) ).
fof(f199,plain,
( s(sK36)
| ~ spl51_26 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( ~ spl51_25
| spl51_26
| spl51_2
| spl51_7 ),
inference(avatar_split_clause,[],[f69,f122,f101,f198,f195]) ).
fof(f202,definition,
( spl51_27
<=> p(sK35) ),
introduced(definition,[new_symbols(definition,[spl51_27])],[avatar_definition]) ).
fof(f203,plain,
( ~ p(sK35)
| spl51_27 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f204,plain,
( ~ spl51_25
| spl51_17
| ~ spl51_27
| spl51_7 ),
inference(avatar_split_clause,[],[f70,f122,f202,f158,f195]) ).
fof(f205,plain,
( ~ spl51_25
| ~ spl51_7
| spl51_17
| spl51_2 ),
inference(avatar_split_clause,[],[f71,f101,f158,f122,f195]) ).
fof(f207,definition,
( spl51_28
<=> p(sK34) ),
introduced(definition,[new_symbols(definition,[spl51_28])],[avatar_definition]) ).
fof(f208,plain,
( ~ p(sK34)
| spl51_28 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f210,definition,
( spl51_29
<=> s(sK33) ),
introduced(definition,[new_symbols(definition,[spl51_29])],[avatar_definition]) ).
fof(f211,plain,
( s(sK33)
| ~ spl51_29 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f212,plain,
( ~ spl51_25
| ~ spl51_7
| ~ spl51_28
| spl51_29 ),
inference(avatar_split_clause,[],[f72,f210,f207,f122,f195]) ).
fof(f214,plain,
( spl51_17
| spl51_2
| spl51_7
| spl51_25 ),
inference(avatar_split_clause,[],[f73,f195,f122,f101,f158]) ).
fof(f216,definition,
( spl51_30
<=> p(sK32) ),
introduced(definition,[new_symbols(definition,[spl51_30])],[avatar_definition]) ).
fof(f217,plain,
( ~ p(sK32)
| spl51_30 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f219,definition,
( spl51_31
<=> s(sK31) ),
introduced(definition,[new_symbols(definition,[spl51_31])],[avatar_definition]) ).
fof(f220,plain,
( s(sK31)
| ~ spl51_31 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f221,plain,
( ~ spl51_30
| spl51_31
| spl51_7
| spl51_25 ),
inference(avatar_split_clause,[],[f74,f195,f122,f219,f216]) ).
fof(f223,definition,
( spl51_32
<=> s(sK30) ),
introduced(definition,[new_symbols(definition,[spl51_32])],[avatar_definition]) ).
fof(f224,plain,
( s(sK30)
| ~ spl51_32 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( spl51_32
| spl51_2
| ~ spl51_7
| spl51_25 ),
inference(avatar_split_clause,[],[f75,f195,f122,f101,f223]) ).
fof(f227,definition,
( spl51_33
<=> p(sK29) ),
introduced(definition,[new_symbols(definition,[spl51_33])],[avatar_definition]) ).
fof(f228,plain,
( ~ p(sK29)
| spl51_33 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( spl51_17
| ~ spl51_33
| ~ spl51_7
| spl51_25 ),
inference(avatar_split_clause,[],[f76,f195,f122,f227,f158]) ).
fof(f231,definition,
( spl51_34
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl51_34])],[avatar_definition]) ).
fof(f234,definition,
( spl51_35
<=> ! [X22] :
( q(sK28(X22))
| q(X22) ) ),
introduced(definition,[new_symbols(definition,[spl51_35])],[avatar_definition]) ).
fof(f235,plain,
( ! [X22] :
( q(sK28(X22))
| q(X22) )
| ~ spl51_35 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,definition,
( spl51_36
<=> ! [X21] : ~ r(X21) ),
introduced(definition,[new_symbols(definition,[spl51_36])],[avatar_definition]) ).
fof(f238,plain,
( ! [X21] : ~ r(X21)
| ~ spl51_36 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( ~ spl51_34
| spl51_35
| spl51_36
| spl51_15 ),
inference(avatar_split_clause,[],[f53,f150,f237,f234,f231]) ).
fof(f241,definition,
( spl51_37
<=> ! [X22] :
( ~ q(sK28(X22))
| ~ q(X22) ) ),
introduced(definition,[new_symbols(definition,[spl51_37])],[avatar_definition]) ).
fof(f242,plain,
( ! [X22] :
( ~ q(sK28(X22))
| ~ q(X22) )
| ~ spl51_37 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( ~ spl51_34
| spl51_37
| spl51_36
| spl51_15 ),
inference(avatar_split_clause,[],[f54,f150,f237,f241,f231]) ).
fof(f245,definition,
( spl51_38
<=> s(sK27) ),
introduced(definition,[new_symbols(definition,[spl51_38])],[avatar_definition]) ).
fof(f246,plain,
( ~ s(sK27)
| spl51_38 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,definition,
( spl51_39
<=> r(sK26) ),
introduced(definition,[new_symbols(definition,[spl51_39])],[avatar_definition]) ).
fof(f249,plain,
( r(sK26)
| ~ spl51_39 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( ~ spl51_34
| spl51_35
| ~ spl51_38
| spl51_39 ),
inference(avatar_split_clause,[],[f55,f248,f245,f234,f231]) ).
fof(f251,plain,
( ~ spl51_34
| spl51_37
| ~ spl51_38
| spl51_39 ),
inference(avatar_split_clause,[],[f56,f248,f245,f241,f231]) ).
fof(f253,definition,
( spl51_40
<=> r(sK25) ),
introduced(definition,[new_symbols(definition,[spl51_40])],[avatar_definition]) ).
fof(f254,plain,
( r(sK25)
| ~ spl51_40 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,definition,
( spl51_41
<=> q(sK23) ),
introduced(definition,[new_symbols(definition,[spl51_41])],[avatar_definition]) ).
fof(f258,plain,
( ~ spl51_34
| spl51_40
| spl51_15
| ~ spl51_41
| spl51_9 ),
inference(avatar_split_clause,[],[f57,f128,f256,f150,f253,f231]) ).
fof(f260,definition,
( spl51_42
<=> s(sK24) ),
introduced(definition,[new_symbols(definition,[spl51_42])],[avatar_definition]) ).
fof(f261,plain,
( ~ s(sK24)
| spl51_42 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( ~ spl51_34
| spl51_36
| ~ spl51_42
| ~ spl51_41
| spl51_9 ),
inference(avatar_split_clause,[],[f58,f128,f256,f260,f237,f231]) ).
fof(f264,definition,
( spl51_43
<=> ! [X13] : ~ q(X13) ),
introduced(definition,[new_symbols(definition,[spl51_43])],[avatar_definition]) ).
fof(f265,plain,
( ! [X13] : ~ q(X13)
| ~ spl51_43 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl51_34
| spl51_40
| spl51_15
| spl51_43
| spl51_41 ),
inference(avatar_split_clause,[],[f59,f256,f264,f150,f253,f231]) ).
fof(f268,plain,
( ~ spl51_34
| spl51_36
| ~ spl51_42
| spl51_43
| spl51_41 ),
inference(avatar_split_clause,[],[f60,f256,f264,f260,f237,f231]) ).
fof(f270,definition,
( spl51_44
<=> q(sK22) ),
introduced(definition,[new_symbols(definition,[spl51_44])],[avatar_definition]) ).
fof(f273,plain,
( ~ spl51_44
| spl51_9
| spl51_36
| spl51_15
| spl51_34 ),
inference(avatar_split_clause,[],[f61,f231,f150,f237,f128,f270]) ).
fof(f275,plain,
( spl51_43
| spl51_44
| spl51_36
| spl51_15
| spl51_34 ),
inference(avatar_split_clause,[],[f62,f231,f150,f237,f270,f264]) ).
fof(f277,definition,
( spl51_45
<=> s(sK21) ),
introduced(definition,[new_symbols(definition,[spl51_45])],[avatar_definition]) ).
fof(f278,plain,
( ~ s(sK21)
| spl51_45 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,definition,
( spl51_46
<=> r(sK20) ),
introduced(definition,[new_symbols(definition,[spl51_46])],[avatar_definition]) ).
fof(f281,plain,
( r(sK20)
| ~ spl51_46 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
( ~ spl51_44
| spl51_9
| ~ spl51_45
| spl51_46
| spl51_34 ),
inference(avatar_split_clause,[],[f63,f231,f280,f277,f128,f270]) ).
fof(f283,plain,
( spl51_43
| spl51_44
| ~ spl51_45
| spl51_46
| spl51_34 ),
inference(avatar_split_clause,[],[f64,f231,f280,f277,f270,f264]) ).
fof(f285,definition,
( spl51_47
<=> ! [X4] :
( q(sK19(X4))
| q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl51_47])],[avatar_definition]) ).
fof(f286,plain,
( ! [X4] :
( q(sK19(X4))
| q(X4) )
| ~ spl51_47 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,definition,
( spl51_48
<=> r(sK18) ),
introduced(definition,[new_symbols(definition,[spl51_48])],[avatar_definition]) ).
fof(f289,plain,
( r(sK18)
| ~ spl51_48 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( spl51_47
| spl51_48
| spl51_15
| spl51_34 ),
inference(avatar_split_clause,[],[f65,f231,f150,f288,f285]) ).
fof(f292,definition,
( spl51_49
<=> ! [X4] :
( ~ q(sK19(X4))
| ~ q(X4) ) ),
introduced(definition,[new_symbols(definition,[spl51_49])],[avatar_definition]) ).
fof(f293,plain,
( ! [X4] :
( ~ q(sK19(X4))
| ~ q(X4) )
| ~ spl51_49 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( spl51_49
| spl51_48
| spl51_15
| spl51_34 ),
inference(avatar_split_clause,[],[f66,f231,f150,f288,f292]) ).
fof(f296,definition,
( spl51_50
<=> s(sK17) ),
introduced(definition,[new_symbols(definition,[spl51_50])],[avatar_definition]) ).
fof(f297,plain,
( ~ s(sK17)
| spl51_50 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( spl51_47
| spl51_36
| ~ spl51_50
| spl51_34 ),
inference(avatar_split_clause,[],[f67,f231,f296,f237,f285]) ).
fof(f299,plain,
( spl51_49
| spl51_36
| ~ spl51_50
| spl51_34 ),
inference(avatar_split_clause,[],[f68,f231,f296,f237,f292]) ).
fof(f301,definition,
( spl51_51
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl51_51])],[avatar_definition]) ).
fof(f304,definition,
( spl51_52
<=> ! [X6] :
( r(sK16(X6))
| r(X6) ) ),
introduced(definition,[new_symbols(definition,[spl51_52])],[avatar_definition]) ).
fof(f305,plain,
( ! [X6] :
( r(sK16(X6))
| r(X6) )
| ~ spl51_52 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( ~ spl51_51
| spl51_52
| spl51_25 ),
inference(avatar_split_clause,[],[f45,f195,f304,f301]) ).
fof(f308,definition,
( spl51_53
<=> ! [X6] :
( ~ r(sK16(X6))
| ~ r(X6) ) ),
introduced(definition,[new_symbols(definition,[spl51_53])],[avatar_definition]) ).
fof(f309,plain,
( ! [X6] :
( ~ r(sK16(X6))
| ~ r(X6) )
| ~ spl51_53 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( ~ spl51_51
| spl51_53
| spl51_25 ),
inference(avatar_split_clause,[],[f46,f195,f308,f301]) ).
fof(f312,definition,
( spl51_54
<=> r(sK15) ),
introduced(definition,[new_symbols(definition,[spl51_54])],[avatar_definition]) ).
fof(f315,definition,
( spl51_55
<=> ! [X5] : r(X5) ),
introduced(definition,[new_symbols(definition,[spl51_55])],[avatar_definition]) ).
fof(f316,plain,
( ! [X5] : r(X5)
| ~ spl51_55 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( ~ spl51_51
| ~ spl51_25
| ~ spl51_54
| spl51_55 ),
inference(avatar_split_clause,[],[f47,f315,f312,f195,f301]) ).
fof(f319,plain,
( ~ spl51_51
| ~ spl51_25
| spl51_36
| spl51_54 ),
inference(avatar_split_clause,[],[f48,f312,f237,f195,f301]) ).
fof(f321,definition,
( spl51_56
<=> r(sK14) ),
introduced(definition,[new_symbols(definition,[spl51_56])],[avatar_definition]) ).
fof(f324,plain,
( ~ spl51_56
| spl51_55
| spl51_25
| spl51_51 ),
inference(avatar_split_clause,[],[f49,f301,f195,f315,f321]) ).
fof(f326,plain,
( spl51_36
| spl51_56
| spl51_25
| spl51_51 ),
inference(avatar_split_clause,[],[f50,f301,f195,f321,f237]) ).
fof(f328,definition,
( spl51_57
<=> ! [X0] :
( r(sK13(X0))
| r(X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_57])],[avatar_definition]) ).
fof(f329,plain,
( ! [X0] :
( r(sK13(X0))
| r(X0) )
| ~ spl51_57 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( spl51_57
| ~ spl51_25
| spl51_51 ),
inference(avatar_split_clause,[],[f51,f301,f195,f328]) ).
fof(f332,definition,
( spl51_58
<=> ! [X0] :
( ~ r(sK13(X0))
| ~ r(X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_58])],[avatar_definition]) ).
fof(f333,plain,
( ! [X0] :
( ~ r(sK13(X0))
| ~ r(X0) )
| ~ spl51_58 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f334,plain,
( spl51_58
| ~ spl51_25
| spl51_51 ),
inference(avatar_split_clause,[],[f52,f301,f195,f332]) ).
fof(f336,definition,
( spl51_59
<=> q(sK12) ),
introduced(definition,[new_symbols(definition,[spl51_59])],[avatar_definition]) ).
fof(f337,plain,
( q(sK12)
| ~ spl51_59 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f338,plain,
( ~ spl51_3
| spl51_59
| spl51_55
| ~ spl51_34
| spl51_51 ),
inference(avatar_split_clause,[],[f29,f301,f231,f315,f336,f104]) ).
fof(f340,definition,
( spl51_60
<=> r(sK11) ),
introduced(definition,[new_symbols(definition,[spl51_60])],[avatar_definition]) ).
fof(f341,plain,
( ~ r(sK11)
| spl51_60 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f342,plain,
( ~ spl51_3
| spl51_43
| ~ spl51_60
| ~ spl51_34
| spl51_51 ),
inference(avatar_split_clause,[],[f30,f301,f231,f340,f264,f104]) ).
fof(f343,plain,
( ~ spl51_3
| spl51_59
| spl51_55
| ~ spl51_51
| spl51_34 ),
inference(avatar_split_clause,[],[f31,f231,f301,f315,f336,f104]) ).
fof(f344,plain,
( ~ spl51_3
| spl51_43
| ~ spl51_60
| ~ spl51_51
| spl51_34 ),
inference(avatar_split_clause,[],[f32,f231,f301,f340,f264,f104]) ).
fof(f345,plain,
( ~ spl51_3
| spl51_34
| spl51_51
| spl51_43
| spl51_55 ),
inference(avatar_split_clause,[],[f33,f315,f264,f301,f231,f104]) ).
fof(f346,plain,
( ~ spl51_3
| ~ spl51_34
| ~ spl51_51
| spl51_43
| spl51_55 ),
inference(avatar_split_clause,[],[f34,f315,f264,f301,f231,f104]) ).
fof(f348,definition,
( spl51_61
<=> r(sK10) ),
introduced(definition,[new_symbols(definition,[spl51_61])],[avatar_definition]) ).
fof(f349,plain,
( ~ r(sK10)
| spl51_61 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,definition,
( spl51_62
<=> q(sK9) ),
introduced(definition,[new_symbols(definition,[spl51_62])],[avatar_definition]) ).
fof(f352,plain,
( q(sK9)
| ~ spl51_62 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f353,plain,
( ~ spl51_3
| spl51_34
| spl51_51
| ~ spl51_61
| spl51_62 ),
inference(avatar_split_clause,[],[f35,f351,f348,f301,f231,f104]) ).
fof(f354,plain,
( ~ spl51_3
| ~ spl51_34
| ~ spl51_51
| ~ spl51_61
| spl51_62 ),
inference(avatar_split_clause,[],[f36,f351,f348,f301,f231,f104]) ).
fof(f355,plain,
( spl51_43
| spl51_55
| ~ spl51_34
| spl51_51
| spl51_3 ),
inference(avatar_split_clause,[],[f37,f104,f301,f231,f315,f264]) ).
fof(f357,definition,
( spl51_63
<=> r(sK8) ),
introduced(definition,[new_symbols(definition,[spl51_63])],[avatar_definition]) ).
fof(f358,plain,
( ~ r(sK8)
| spl51_63 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,definition,
( spl51_64
<=> q(sK7) ),
introduced(definition,[new_symbols(definition,[spl51_64])],[avatar_definition]) ).
fof(f361,plain,
( q(sK7)
| ~ spl51_64 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( ~ spl51_63
| spl51_64
| ~ spl51_34
| spl51_51
| spl51_3 ),
inference(avatar_split_clause,[],[f38,f104,f301,f231,f360,f357]) ).
fof(f363,plain,
( spl51_43
| spl51_55
| ~ spl51_51
| spl51_34
| spl51_3 ),
inference(avatar_split_clause,[],[f39,f104,f231,f301,f315,f264]) ).
fof(f364,plain,
( ~ spl51_63
| spl51_64
| ~ spl51_51
| spl51_34
| spl51_3 ),
inference(avatar_split_clause,[],[f40,f104,f231,f301,f360,f357]) ).
fof(f366,definition,
( spl51_65
<=> q(sK6) ),
introduced(definition,[new_symbols(definition,[spl51_65])],[avatar_definition]) ).
fof(f367,plain,
( q(sK6)
| ~ spl51_65 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( spl51_65
| spl51_55
| spl51_34
| spl51_51
| spl51_3 ),
inference(avatar_split_clause,[],[f41,f104,f301,f231,f315,f366]) ).
fof(f370,definition,
( spl51_66
<=> r(sK5) ),
introduced(definition,[new_symbols(definition,[spl51_66])],[avatar_definition]) ).
fof(f371,plain,
( ~ r(sK5)
| spl51_66 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f372,plain,
( spl51_43
| ~ spl51_66
| spl51_34
| spl51_51
| spl51_3 ),
inference(avatar_split_clause,[],[f42,f104,f301,f231,f370,f264]) ).
fof(f373,plain,
( spl51_65
| spl51_55
| ~ spl51_34
| ~ spl51_51
| spl51_3 ),
inference(avatar_split_clause,[],[f43,f104,f301,f231,f315,f366]) ).
fof(f374,plain,
( spl51_43
| ~ spl51_66
| ~ spl51_34
| ~ spl51_51
| spl51_3 ),
inference(avatar_split_clause,[],[f44,f104,f301,f231,f370,f264]) ).
fof(f375,plain,
( $false
| ~ spl51_2
| ~ spl51_4 ),
inference(resolution,[],[f109,f102]) ).
fof(f376,plain,
( ~ spl51_2
| ~ spl51_4 ),
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f377,plain,
( $false
| ~ spl51_9
| spl51_19 ),
inference(resolution,[],[f172,f129]) ).
fof(f378,plain,
( ~ spl51_9
| spl51_19 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f379,plain,
( $false
| ~ spl51_9
| spl51_24 ),
inference(resolution,[],[f191,f129]) ).
fof(f380,plain,
( ~ spl51_9
| spl51_24 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f381,plain,
( $false
| ~ spl51_15
| spl51_38 ),
inference(resolution,[],[f246,f151]) ).
fof(f382,plain,
( ~ spl51_15
| spl51_38 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f383,plain,
( $false
| ~ spl51_4
| ~ spl51_20 ),
inference(resolution,[],[f175,f109]) ).
fof(f384,plain,
( ~ spl51_4
| ~ spl51_20 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f385,plain,
( $false
| ~ spl51_36
| ~ spl51_39 ),
inference(resolution,[],[f249,f238]) ).
fof(f386,plain,
( ~ spl51_36
| ~ spl51_39 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f387,plain,
( $false
| ~ spl51_9
| ~ spl51_43 ),
inference(resolution,[],[f265,f129]) ).
fof(f388,plain,
( ~ spl51_9
| ~ spl51_43 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f389,plain,
( $false
| ~ spl51_15
| spl51_42 ),
inference(resolution,[],[f261,f151]) ).
fof(f390,plain,
( ~ spl51_15
| spl51_42 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f391,plain,
( ! [X0] : ~ s(X0)
| ~ spl51_15
| ~ spl51_23 ),
inference(resolution,[],[f187,f151]) ).
fof(f392,plain,
( spl51_17
| ~ spl51_15
| ~ spl51_23 ),
inference(avatar_split_clause,[],[f391,f186,f150,f158]) ).
fof(f394,plain,
( ! [X0] : q(X0)
| ~ spl51_35
| ~ spl51_43 ),
inference(resolution,[],[f235,f265]) ).
fof(f395,plain,
( spl51_9
| ~ spl51_35
| ~ spl51_43 ),
inference(avatar_split_clause,[],[f394,f264,f234,f128]) ).
fof(f396,plain,
( ! [X0] : r(X0)
| ~ spl51_36
| ~ spl51_57 ),
inference(resolution,[],[f329,f238]) ).
fof(f397,plain,
( spl51_55
| ~ spl51_36
| ~ spl51_57 ),
inference(avatar_split_clause,[],[f396,f328,f237,f315]) ).
fof(f398,plain,
( $false
| ~ spl51_2
| spl51_27 ),
inference(resolution,[],[f203,f102]) ).
fof(f399,plain,
( ~ spl51_2
| spl51_27 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f400,plain,
( $false
| ~ spl51_2
| spl51_30 ),
inference(resolution,[],[f217,f102]) ).
fof(f401,plain,
( ~ spl51_2
| spl51_30 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f402,plain,
( $false
| ~ spl51_2
| spl51_33 ),
inference(resolution,[],[f228,f102]) ).
fof(f403,plain,
( ~ spl51_2
| spl51_33 ),
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f404,plain,
( $false
| ~ spl51_4
| ~ spl51_13 ),
inference(resolution,[],[f145,f109]) ).
fof(f405,plain,
( ~ spl51_4
| ~ spl51_13 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f407,plain,
( $false
| ~ spl51_43
| ~ spl51_59 ),
inference(resolution,[],[f337,f265]) ).
fof(f408,plain,
( ~ spl51_43
| ~ spl51_59 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f409,plain,
( $false
| ~ spl51_36
| ~ spl51_40 ),
inference(resolution,[],[f254,f238]) ).
fof(f410,plain,
( ~ spl51_36
| ~ spl51_40 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f411,plain,
( ! [X0] : ~ p(X0)
| ~ spl51_2
| ~ spl51_6 ),
inference(resolution,[],[f102,f119]) ).
fof(f412,plain,
( spl51_4
| ~ spl51_2
| ~ spl51_6 ),
inference(avatar_split_clause,[],[f411,f118,f101,f108]) ).
fof(f413,plain,
( ! [X0] : s(X0)
| ~ spl51_17
| ~ spl51_21 ),
inference(resolution,[],[f159,f180]) ).
fof(f414,plain,
( $false
| ~ spl51_17
| ~ spl51_26 ),
inference(resolution,[],[f159,f199]) ).
fof(f415,plain,
( $false
| ~ spl51_17
| ~ spl51_32 ),
inference(resolution,[],[f159,f224]) ).
fof(f416,plain,
( ~ spl51_17
| ~ spl51_32 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f417,plain,
( ~ spl51_17
| ~ spl51_26 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f418,plain,
( spl51_15
| ~ spl51_17
| ~ spl51_21 ),
inference(avatar_split_clause,[],[f413,f179,f158,f150]) ).
fof(f419,plain,
( ! [X0] : s(X0)
| ~ spl51_8
| ~ spl51_17 ),
inference(resolution,[],[f126,f159]) ).
fof(f420,plain,
( spl51_15
| ~ spl51_8
| ~ spl51_17 ),
inference(avatar_split_clause,[],[f419,f158,f125,f150]) ).
fof(f421,plain,
( ! [X0] : p(X0)
| ~ spl51_4
| ~ spl51_5 ),
inference(resolution,[],[f109,f114]) ).
fof(f422,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f421,f113,f108,f101]) ).
fof(f423,plain,
( $false
| ~ spl51_4
| ~ spl51_22 ),
inference(resolution,[],[f183,f109]) ).
fof(f424,plain,
( ~ spl51_4
| ~ spl51_22 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( $false
| ~ spl51_2
| spl51_28 ),
inference(resolution,[],[f102,f208]) ).
fof(f426,plain,
( ~ spl51_2
| spl51_28 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f427,plain,
( $false
| ~ spl51_17
| ~ spl51_31 ),
inference(resolution,[],[f220,f159]) ).
fof(f428,plain,
( ~ spl51_17
| ~ spl51_31 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f430,plain,
( $false
| ~ spl51_15
| ~ spl51_17 ),
inference(resolution,[],[f151,f159]) ).
fof(f431,plain,
( ~ spl51_15
| ~ spl51_17 ),
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f434,plain,
( ! [X0] : ~ s(X0)
| ~ spl51_10
| ~ spl51_15 ),
inference(resolution,[],[f133,f151]) ).
fof(f435,plain,
( spl51_17
| ~ spl51_10
| ~ spl51_15 ),
inference(avatar_split_clause,[],[f434,f150,f132,f158]) ).
fof(f436,plain,
( $false
| ~ spl51_15
| spl51_45 ),
inference(resolution,[],[f278,f151]) ).
fof(f437,plain,
( ~ spl51_15
| spl51_45 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f438,plain,
( $false
| ~ spl51_43
| ~ spl51_65 ),
inference(resolution,[],[f367,f265]) ).
fof(f439,plain,
( ~ spl51_43
| ~ spl51_65 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f440,plain,
( $false
| ~ spl51_36
| ~ spl51_46 ),
inference(resolution,[],[f281,f238]) ).
fof(f441,plain,
( ~ spl51_36
| ~ spl51_46 ),
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f442,plain,
( ! [X0] : r(X0)
| ~ spl51_36
| ~ spl51_52 ),
inference(resolution,[],[f305,f238]) ).
fof(f443,plain,
( spl51_55
| ~ spl51_36
| ~ spl51_52 ),
inference(avatar_split_clause,[],[f442,f304,f237,f315]) ).
fof(f444,plain,
( $false
| ~ spl51_15
| spl51_50 ),
inference(resolution,[],[f297,f151]) ).
fof(f445,plain,
( ~ spl51_15
| spl51_50 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f446,plain,
( ! [X0] : q(X0)
| ~ spl51_43
| ~ spl51_47 ),
inference(resolution,[],[f286,f265]) ).
fof(f447,plain,
( spl51_9
| ~ spl51_43
| ~ spl51_47 ),
inference(avatar_split_clause,[],[f446,f285,f264,f128]) ).
fof(f448,plain,
( $false
| ~ spl51_36
| ~ spl51_48 ),
inference(resolution,[],[f289,f238]) ).
fof(f449,plain,
( ~ spl51_36
| ~ spl51_48 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f450,plain,
( $false
| ~ spl51_17
| ~ spl51_29 ),
inference(resolution,[],[f159,f211]) ).
fof(f453,plain,
( ~ spl51_17
| ~ spl51_29 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f454,plain,
( $false
| ~ spl51_36
| ~ spl51_55 ),
inference(resolution,[],[f316,f238]) ).
fof(f455,plain,
( $false
| ~ spl51_55
| spl51_66 ),
inference(resolution,[],[f316,f371]) ).
fof(f456,plain,
( $false
| ~ spl51_55
| spl51_63 ),
inference(resolution,[],[f316,f358]) ).
fof(f457,plain,
( $false
| ~ spl51_55
| spl51_60 ),
inference(resolution,[],[f316,f341]) ).
fof(f460,plain,
( ~ spl51_55
| spl51_60 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f461,plain,
( ~ spl51_55
| spl51_63 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f462,plain,
( ~ spl51_55
| spl51_66 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f463,plain,
( ~ spl51_36
| ~ spl51_55 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f466,plain,
( ! [X0] : ~ r(X0)
| ~ spl51_53
| ~ spl51_55 ),
inference(resolution,[],[f309,f316]) ).
fof(f467,plain,
( spl51_36
| ~ spl51_53
| ~ spl51_55 ),
inference(avatar_split_clause,[],[f466,f315,f308,f237]) ).
fof(f468,plain,
( ! [X0] : ~ r(X0)
| ~ spl51_55
| ~ spl51_58 ),
inference(resolution,[],[f333,f316]) ).
fof(f469,plain,
( spl51_36
| ~ spl51_55
| ~ spl51_58 ),
inference(avatar_split_clause,[],[f468,f332,f315,f237]) ).
fof(f472,plain,
( $false
| ~ spl51_43
| ~ spl51_64 ),
inference(resolution,[],[f361,f265]) ).
fof(f473,plain,
( ~ spl51_43
| ~ spl51_64 ),
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f475,plain,
( $false
| ~ spl51_55
| spl51_61 ),
inference(resolution,[],[f349,f316]) ).
fof(f476,plain,
( ~ spl51_55
| spl51_61 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f477,plain,
( $false
| ~ spl51_43
| ~ spl51_62 ),
inference(resolution,[],[f352,f265]) ).
fof(f478,plain,
( ~ spl51_43
| ~ spl51_62 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f480,plain,
( $false
| ~ spl51_9
| spl51_16 ),
inference(resolution,[],[f129,f155]) ).
fof(f481,plain,
( $false
| ~ spl51_9
| spl51_11 ),
inference(resolution,[],[f129,f137]) ).
fof(f482,plain,
( ~ spl51_9
| spl51_11 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f483,plain,
( ~ spl51_9
| spl51_16 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f485,plain,
( ! [X0] : ~ q(X0)
| ~ spl51_9
| ~ spl51_37 ),
inference(resolution,[],[f242,f129]) ).
fof(f486,plain,
( spl51_43
| ~ spl51_9
| ~ spl51_37 ),
inference(avatar_split_clause,[],[f485,f241,f128,f264]) ).
fof(f487,plain,
( ! [X0] : ~ q(X0)
| ~ spl51_9
| ~ spl51_49 ),
inference(resolution,[],[f293,f129]) ).
fof(f488,plain,
( spl51_43
| ~ spl51_9
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f487,f292,f128,f264]) ).
fof(f489,plain,
( $false
| ~ spl51_4
| ~ spl51_12 ),
inference(resolution,[],[f109,f140]) ).
fof(f490,plain,
( ~ spl51_4
| ~ spl51_12 ),
inference(avatar_contradiction_clause,[],[f489]) ).
cnf(s1,plain,
( ~ spl51_1
| spl51_2
| spl51_3 ),
inference(sat_conversion,[],[f106]) ).
cnf(s2,plain,
( spl51_1
| spl51_3
| spl51_4 ),
inference(sat_conversion,[],[f111]) ).
cnf(s3,plain,
( ~ spl51_3
| spl51_5 ),
inference(sat_conversion,[],[f116]) ).
cnf(s4,plain,
( ~ spl51_3
| spl51_6 ),
inference(sat_conversion,[],[f120]) ).
cnf(s5,plain,
( spl51_4
| ~ spl51_7
| spl51_8
| spl51_9 ),
inference(sat_conversion,[],[f130]) ).
cnf(s6,plain,
( spl51_4
| ~ spl51_7
| spl51_9
| spl51_10 ),
inference(sat_conversion,[],[f134]) ).
cnf(s7,plain,
( ~ spl51_7
| spl51_8
| ~ spl51_11
| spl51_12 ),
inference(sat_conversion,[],[f141]) ).
cnf(s8,plain,
( ~ spl51_7
| spl51_10
| ~ spl51_11
| spl51_12 ),
inference(sat_conversion,[],[f142]) ).
cnf(s9,plain,
( ~ spl51_7
| spl51_9
| spl51_13
| ~ spl51_14
| spl51_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s10,plain,
( spl51_4
| ~ spl51_7
| ~ spl51_14
| spl51_15
| ~ spl51_16 ),
inference(sat_conversion,[],[f156]) ).
cnf(s11,plain,
( ~ spl51_7
| spl51_9
| spl51_13
| spl51_14
| spl51_17 ),
inference(sat_conversion,[],[f161]) ).
cnf(s12,plain,
( spl51_4
| ~ spl51_7
| spl51_14
| ~ spl51_16
| spl51_17 ),
inference(sat_conversion,[],[f162]) ).
cnf(s13,plain,
( spl51_4
| spl51_7
| spl51_9
| spl51_15
| ~ spl51_18 ),
inference(sat_conversion,[],[f167]) ).
cnf(s14,plain,
( spl51_4
| spl51_7
| spl51_9
| spl51_17
| spl51_18 ),
inference(sat_conversion,[],[f169]) ).
cnf(s15,plain,
( spl51_7
| spl51_15
| ~ spl51_18
| ~ spl51_19
| spl51_20 ),
inference(sat_conversion,[],[f176]) ).
cnf(s16,plain,
( spl51_7
| spl51_17
| spl51_18
| ~ spl51_19
| spl51_20 ),
inference(sat_conversion,[],[f177]) ).
cnf(s17,plain,
( spl51_7
| spl51_9
| spl51_21
| spl51_22 ),
inference(sat_conversion,[],[f184]) ).
cnf(s18,plain,
( spl51_7
| spl51_9
| spl51_22
| spl51_23 ),
inference(sat_conversion,[],[f188]) ).
cnf(s19,plain,
( spl51_4
| spl51_7
| spl51_21
| ~ spl51_24 ),
inference(sat_conversion,[],[f192]) ).
cnf(s20,plain,
( spl51_4
| spl51_7
| spl51_23
| ~ spl51_24 ),
inference(sat_conversion,[],[f193]) ).
cnf(s21,plain,
( spl51_2
| spl51_7
| ~ spl51_25
| spl51_26 ),
inference(sat_conversion,[],[f200]) ).
cnf(s22,plain,
( spl51_7
| spl51_17
| ~ spl51_25
| ~ spl51_27 ),
inference(sat_conversion,[],[f204]) ).
cnf(s23,plain,
( spl51_2
| ~ spl51_7
| spl51_17
| ~ spl51_25 ),
inference(sat_conversion,[],[f205]) ).
cnf(s24,plain,
( ~ spl51_7
| ~ spl51_25
| ~ spl51_28
| spl51_29 ),
inference(sat_conversion,[],[f212]) ).
cnf(s25,plain,
( spl51_2
| spl51_7
| spl51_17
| spl51_25 ),
inference(sat_conversion,[],[f214]) ).
cnf(s26,plain,
( spl51_7
| spl51_25
| ~ spl51_30
| spl51_31 ),
inference(sat_conversion,[],[f221]) ).
cnf(s27,plain,
( spl51_2
| ~ spl51_7
| spl51_25
| spl51_32 ),
inference(sat_conversion,[],[f225]) ).
cnf(s28,plain,
( ~ spl51_7
| spl51_17
| spl51_25
| ~ spl51_33 ),
inference(sat_conversion,[],[f229]) ).
cnf(s29,plain,
( spl51_15
| ~ spl51_34
| spl51_35
| spl51_36 ),
inference(sat_conversion,[],[f239]) ).
cnf(s30,plain,
( spl51_15
| ~ spl51_34
| spl51_36
| spl51_37 ),
inference(sat_conversion,[],[f243]) ).
cnf(s31,plain,
( ~ spl51_34
| spl51_35
| ~ spl51_38
| spl51_39 ),
inference(sat_conversion,[],[f250]) ).
cnf(s32,plain,
( ~ spl51_34
| spl51_37
| ~ spl51_38
| spl51_39 ),
inference(sat_conversion,[],[f251]) ).
cnf(s33,plain,
( spl51_9
| spl51_15
| ~ spl51_34
| spl51_40
| ~ spl51_41 ),
inference(sat_conversion,[],[f258]) ).
cnf(s34,plain,
( spl51_9
| ~ spl51_34
| spl51_36
| ~ spl51_41
| ~ spl51_42 ),
inference(sat_conversion,[],[f262]) ).
cnf(s35,plain,
( spl51_15
| ~ spl51_34
| spl51_40
| spl51_41
| spl51_43 ),
inference(sat_conversion,[],[f267]) ).
cnf(s36,plain,
( ~ spl51_34
| spl51_36
| spl51_41
| ~ spl51_42
| spl51_43 ),
inference(sat_conversion,[],[f268]) ).
cnf(s37,plain,
( spl51_9
| spl51_15
| spl51_34
| spl51_36
| ~ spl51_44 ),
inference(sat_conversion,[],[f273]) ).
cnf(s38,plain,
( spl51_15
| spl51_34
| spl51_36
| spl51_43
| spl51_44 ),
inference(sat_conversion,[],[f275]) ).
cnf(s39,plain,
( spl51_9
| spl51_34
| ~ spl51_44
| ~ spl51_45
| spl51_46 ),
inference(sat_conversion,[],[f282]) ).
cnf(s40,plain,
( spl51_34
| spl51_43
| spl51_44
| ~ spl51_45
| spl51_46 ),
inference(sat_conversion,[],[f283]) ).
cnf(s41,plain,
( spl51_15
| spl51_34
| spl51_47
| spl51_48 ),
inference(sat_conversion,[],[f290]) ).
cnf(s42,plain,
( spl51_15
| spl51_34
| spl51_48
| spl51_49 ),
inference(sat_conversion,[],[f294]) ).
cnf(s43,plain,
( spl51_34
| spl51_36
| spl51_47
| ~ spl51_50 ),
inference(sat_conversion,[],[f298]) ).
cnf(s44,plain,
( spl51_34
| spl51_36
| spl51_49
| ~ spl51_50 ),
inference(sat_conversion,[],[f299]) ).
cnf(s45,plain,
( spl51_25
| ~ spl51_51
| spl51_52 ),
inference(sat_conversion,[],[f306]) ).
cnf(s46,plain,
( spl51_25
| ~ spl51_51
| spl51_53 ),
inference(sat_conversion,[],[f310]) ).
cnf(s47,plain,
( ~ spl51_25
| ~ spl51_51
| ~ spl51_54
| spl51_55 ),
inference(sat_conversion,[],[f317]) ).
cnf(s48,plain,
( ~ spl51_25
| spl51_36
| ~ spl51_51
| spl51_54 ),
inference(sat_conversion,[],[f319]) ).
cnf(s49,plain,
( spl51_25
| spl51_51
| spl51_55
| ~ spl51_56 ),
inference(sat_conversion,[],[f324]) ).
cnf(s50,plain,
( spl51_25
| spl51_36
| spl51_51
| spl51_56 ),
inference(sat_conversion,[],[f326]) ).
cnf(s51,plain,
( ~ spl51_25
| spl51_51
| spl51_57 ),
inference(sat_conversion,[],[f330]) ).
cnf(s52,plain,
( ~ spl51_25
| spl51_51
| spl51_58 ),
inference(sat_conversion,[],[f334]) ).
cnf(s53,plain,
( ~ spl51_3
| ~ spl51_34
| spl51_51
| spl51_55
| spl51_59 ),
inference(sat_conversion,[],[f338]) ).
cnf(s54,plain,
( ~ spl51_3
| ~ spl51_34
| spl51_43
| spl51_51
| ~ spl51_60 ),
inference(sat_conversion,[],[f342]) ).
cnf(s55,plain,
( ~ spl51_3
| spl51_34
| ~ spl51_51
| spl51_55
| spl51_59 ),
inference(sat_conversion,[],[f343]) ).
cnf(s56,plain,
( ~ spl51_3
| spl51_34
| spl51_43
| ~ spl51_51
| ~ spl51_60 ),
inference(sat_conversion,[],[f344]) ).
cnf(s57,plain,
( ~ spl51_3
| spl51_34
| spl51_43
| spl51_51
| spl51_55 ),
inference(sat_conversion,[],[f345]) ).
cnf(s58,plain,
( ~ spl51_3
| ~ spl51_34
| spl51_43
| ~ spl51_51
| spl51_55 ),
inference(sat_conversion,[],[f346]) ).
cnf(s59,plain,
( ~ spl51_3
| spl51_34
| spl51_51
| ~ spl51_61
| spl51_62 ),
inference(sat_conversion,[],[f353]) ).
cnf(s60,plain,
( ~ spl51_3
| ~ spl51_34
| ~ spl51_51
| ~ spl51_61
| spl51_62 ),
inference(sat_conversion,[],[f354]) ).
cnf(s61,plain,
( spl51_3
| ~ spl51_34
| spl51_43
| spl51_51
| spl51_55 ),
inference(sat_conversion,[],[f355]) ).
cnf(s62,plain,
( spl51_3
| ~ spl51_34
| spl51_51
| ~ spl51_63
| spl51_64 ),
inference(sat_conversion,[],[f362]) ).
cnf(s63,plain,
( spl51_3
| spl51_34
| spl51_43
| ~ spl51_51
| spl51_55 ),
inference(sat_conversion,[],[f363]) ).
cnf(s64,plain,
( spl51_3
| spl51_34
| ~ spl51_51
| ~ spl51_63
| spl51_64 ),
inference(sat_conversion,[],[f364]) ).
cnf(s65,plain,
( spl51_3
| spl51_34
| spl51_51
| spl51_55
| spl51_65 ),
inference(sat_conversion,[],[f368]) ).
cnf(s66,plain,
( spl51_3
| spl51_34
| spl51_43
| spl51_51
| ~ spl51_66 ),
inference(sat_conversion,[],[f372]) ).
cnf(s67,plain,
( spl51_3
| ~ spl51_34
| ~ spl51_51
| spl51_55
| spl51_65 ),
inference(sat_conversion,[],[f373]) ).
cnf(s68,plain,
( spl51_3
| ~ spl51_34
| spl51_43
| ~ spl51_51
| ~ spl51_66 ),
inference(sat_conversion,[],[f374]) ).
cnf(s69,plain,
( ~ spl51_2
| ~ spl51_4 ),
inference(sat_conversion,[],[f376]) ).
cnf(s70,plain,
( ~ spl51_9
| spl51_19 ),
inference(sat_conversion,[],[f378]) ).
cnf(s71,plain,
( ~ spl51_9
| spl51_24 ),
inference(sat_conversion,[],[f380]) ).
cnf(s72,plain,
( ~ spl51_15
| spl51_38 ),
inference(sat_conversion,[],[f382]) ).
cnf(s73,plain,
( ~ spl51_4
| ~ spl51_20 ),
inference(sat_conversion,[],[f384]) ).
cnf(s74,plain,
( ~ spl51_36
| ~ spl51_39 ),
inference(sat_conversion,[],[f386]) ).
cnf(s75,plain,
( ~ spl51_9
| ~ spl51_43 ),
inference(sat_conversion,[],[f388]) ).
cnf(s76,plain,
( ~ spl51_15
| spl51_42 ),
inference(sat_conversion,[],[f390]) ).
cnf(s77,plain,
( ~ spl51_15
| spl51_17
| ~ spl51_23 ),
inference(sat_conversion,[],[f392]) ).
cnf(s78,plain,
( spl51_9
| ~ spl51_35
| ~ spl51_43 ),
inference(sat_conversion,[],[f395]) ).
cnf(s79,plain,
( ~ spl51_36
| spl51_55
| ~ spl51_57 ),
inference(sat_conversion,[],[f397]) ).
cnf(s80,plain,
( ~ spl51_2
| spl51_27 ),
inference(sat_conversion,[],[f399]) ).
cnf(s81,plain,
( ~ spl51_2
| spl51_30 ),
inference(sat_conversion,[],[f401]) ).
cnf(s82,plain,
( ~ spl51_2
| spl51_33 ),
inference(sat_conversion,[],[f403]) ).
cnf(s83,plain,
( ~ spl51_4
| ~ spl51_13 ),
inference(sat_conversion,[],[f405]) ).
cnf(s84,plain,
( ~ spl51_43
| ~ spl51_59 ),
inference(sat_conversion,[],[f408]) ).
cnf(s85,plain,
( ~ spl51_36
| ~ spl51_40 ),
inference(sat_conversion,[],[f410]) ).
cnf(s86,plain,
( ~ spl51_2
| spl51_4
| ~ spl51_6 ),
inference(sat_conversion,[],[f412]) ).
cnf(s87,plain,
( ~ spl51_17
| ~ spl51_32 ),
inference(sat_conversion,[],[f416]) ).
cnf(s88,plain,
( ~ spl51_17
| ~ spl51_26 ),
inference(sat_conversion,[],[f417]) ).
cnf(s89,plain,
( spl51_15
| ~ spl51_17
| ~ spl51_21 ),
inference(sat_conversion,[],[f418]) ).
cnf(s90,plain,
( ~ spl51_8
| spl51_15
| ~ spl51_17 ),
inference(sat_conversion,[],[f420]) ).
cnf(s91,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(sat_conversion,[],[f422]) ).
cnf(s92,plain,
( ~ spl51_4
| ~ spl51_22 ),
inference(sat_conversion,[],[f424]) ).
cnf(s93,plain,
( ~ spl51_2
| spl51_28 ),
inference(sat_conversion,[],[f426]) ).
cnf(s94,plain,
( ~ spl51_17
| ~ spl51_31 ),
inference(sat_conversion,[],[f428]) ).
cnf(s96,plain,
( ~ spl51_15
| ~ spl51_17 ),
inference(sat_conversion,[],[f431]) ).
cnf(s98,plain,
( ~ spl51_10
| ~ spl51_15
| spl51_17 ),
inference(sat_conversion,[],[f435]) ).
cnf(s99,plain,
( ~ spl51_15
| spl51_45 ),
inference(sat_conversion,[],[f437]) ).
cnf(s100,plain,
( ~ spl51_43
| ~ spl51_65 ),
inference(sat_conversion,[],[f439]) ).
cnf(s101,plain,
( ~ spl51_36
| ~ spl51_46 ),
inference(sat_conversion,[],[f441]) ).
cnf(s102,plain,
( ~ spl51_36
| ~ spl51_52
| spl51_55 ),
inference(sat_conversion,[],[f443]) ).
cnf(s103,plain,
( ~ spl51_15
| spl51_50 ),
inference(sat_conversion,[],[f445]) ).
cnf(s104,plain,
( spl51_9
| ~ spl51_43
| ~ spl51_47 ),
inference(sat_conversion,[],[f447]) ).
cnf(s105,plain,
( ~ spl51_36
| ~ spl51_48 ),
inference(sat_conversion,[],[f449]) ).
cnf(s108,plain,
( ~ spl51_17
| ~ spl51_29 ),
inference(sat_conversion,[],[f453]) ).
cnf(s110,plain,
( ~ spl51_55
| spl51_60 ),
inference(sat_conversion,[],[f460]) ).
cnf(s111,plain,
( ~ spl51_55
| spl51_63 ),
inference(sat_conversion,[],[f461]) ).
cnf(s112,plain,
( ~ spl51_55
| spl51_66 ),
inference(sat_conversion,[],[f462]) ).
cnf(s113,plain,
( ~ spl51_36
| ~ spl51_55 ),
inference(sat_conversion,[],[f463]) ).
cnf(s115,plain,
( spl51_36
| ~ spl51_53
| ~ spl51_55 ),
inference(sat_conversion,[],[f467]) ).
cnf(s116,plain,
( spl51_36
| ~ spl51_55
| ~ spl51_58 ),
inference(sat_conversion,[],[f469]) ).
cnf(s118,plain,
( ~ spl51_43
| ~ spl51_64 ),
inference(sat_conversion,[],[f473]) ).
cnf(s119,plain,
( ~ spl51_55
| spl51_61 ),
inference(sat_conversion,[],[f476]) ).
cnf(s120,plain,
( ~ spl51_43
| ~ spl51_62 ),
inference(sat_conversion,[],[f478]) ).
cnf(s121,plain,
( ~ spl51_9
| spl51_11 ),
inference(sat_conversion,[],[f482]) ).
cnf(s122,plain,
( ~ spl51_9
| spl51_16 ),
inference(sat_conversion,[],[f483]) ).
cnf(s124,plain,
( ~ spl51_9
| ~ spl51_37
| spl51_43 ),
inference(sat_conversion,[],[f486]) ).
cnf(s125,plain,
( ~ spl51_9
| spl51_43
| ~ spl51_49 ),
inference(sat_conversion,[],[f488]) ).
cnf(s126,plain,
( ~ spl51_4
| ~ spl51_12 ),
inference(sat_conversion,[],[f490]) ).
cnf(s127,plain,
( spl51_51
| spl51_65
| spl51_36
| spl51_34
| ~ spl51_25
| spl51_3 ),
inference(rat,[],[s116,s65,s52]) ).
cnf(s128,plain,
( spl51_36
| spl51_34
| ~ spl51_25
| spl51_15
| spl51_9
| spl51_3 ),
inference(rat,[],[s47,s111,s48,s64,s127,s100,s118,s38,s37]) ).
cnf(s129,plain,
( spl51_34
| ~ spl51_25
| spl51_3
| spl51_15
| spl51_9 ),
inference(rat,[],[s63,s104,s51,s41,s79,s105,s113,s128]) ).
cnf(s130,plain,
( spl51_51
| spl51_43
| spl51_36
| ~ spl51_34
| ~ spl51_25
| spl51_3 ),
inference(rat,[],[s116,s61,s52]) ).
cnf(s131,plain,
( spl51_43
| spl51_36
| spl51_3
| ~ spl51_34
| ~ spl51_25 ),
inference(rat,[],[s47,s112,s48,s68,s130]) ).
cnf(s132,plain,
( spl51_36
| ~ spl51_25
| spl51_15
| spl51_9
| spl51_3 ),
inference(rat,[],[s131,s78,s29,s129]) ).
cnf(s133,plain,
( ~ spl51_25
| spl51_15
| spl51_3
| spl51_9 ),
inference(rat,[],[s100,s67,s35,s51,s33,s79,s85,s113,s132,s129]) ).
cnf(s134,plain,
( spl51_15
| ~ spl51_21
| spl51_9
| spl51_7
| spl51_3
| spl51_2 ),
inference(rat,[],[s133,s25,s89]) ).
cnf(s135,plain,
( spl51_9
| spl51_7
| spl51_22
| spl51_3
| spl51_2 ),
inference(rat,[],[s77,s96,s134,s17,s18]) ).
cnf(s136,plain,
( spl51_51
| spl51_36
| spl51_34
| spl51_25
| spl51_43
| spl51_3 ),
inference(rat,[],[s49,s112,s50,s66]) ).
cnf(s137,plain,
( spl51_36
| spl51_34
| spl51_3
| spl51_25
| spl51_43 ),
inference(rat,[],[s115,s63,s46,s136]) ).
cnf(s138,plain,
( spl51_34
| spl51_25
| spl51_15
| ~ spl51_9
| spl51_3 ),
inference(rat,[],[s137,s105,s42,s125,s75]) ).
cnf(s139,plain,
( spl51_15
| ~ spl51_9
| spl51_7
| spl51_20
| spl51_3
| spl51_2 ),
inference(rat,[],[s45,s61,s102,s113,s30,s138,s21,s88,s16,s15,s70,s124,s75]) ).
cnf(s140,plain,
( spl51_34
| ~ spl51_25
| ~ spl51_50
| spl51_49
| spl51_43
| spl51_3 ),
inference(rat,[],[s51,s63,s79,s113,s44]) ).
cnf(s141,plain,
( spl51_7
| spl51_20
| spl51_22
| spl51_3
| spl51_2 ),
inference(rat,[],[s74,s32,s131,s140,s25,s72,s96,s103,s139,s124,s125,s75,s135]) ).
cnf(s142,plain,
( spl51_36
| spl51_34
| ~ spl51_50
| spl51_25
| spl51_9
| spl51_3 ),
inference(rat,[],[s104,s43,s137]) ).
cnf(s143,plain,
( spl51_34
| ~ spl51_45
| ~ spl51_50
| spl51_25
| spl51_9
| spl51_3 ),
inference(rat,[],[s100,s40,s65,s39,s45,s101,s102,s113,s142]) ).
cnf(s144,plain,
( spl51_51
| spl51_64
| spl51_36
| ~ spl51_34
| spl51_25
| spl51_3 ),
inference(rat,[],[s111,s49,s62,s50]) ).
cnf(s145,plain,
( spl51_36
| ~ spl51_34
| ~ spl51_42
| spl51_25
| spl51_9
| spl51_3 ),
inference(rat,[],[s115,s67,s46,s144,s100,s118,s36,s34]) ).
cnf(s146,plain,
( spl51_17
| spl51_9
| ~ spl51_7
| spl51_13
| spl51_3
| spl51_2 ),
inference(rat,[],[s78,s61,s31,s45,s74,s102,s113,s145,s143,s72,s76,s99,s103,s9,s11,s23]) ).
cnf(s147,plain,
( spl51_9
| ~ spl51_7
| spl51_2
| spl51_13
| spl51_3 ),
inference(rat,[],[s27,s133,s87,s96,s146]) ).
cnf(s148,plain,
( spl51_17
| ~ spl51_10
| ~ spl51_9
| ~ spl51_7
| spl51_3
| spl51_2 ),
inference(rat,[],[s45,s61,s102,s113,s30,s138,s98,s23,s124,s75]) ).
cnf(s149,plain,
( spl51_3
| spl51_2
| spl51_1 ),
inference(rat,[],[s90,s96,s148,s8,s7,s121,s147,s141,s73,s83,s92,s126,s2]) ).
cnf(s150,plain,
( spl51_51
| spl51_43
| spl51_36
| spl51_34
| ~ spl51_25
| ~ spl51_3 ),
inference(rat,[],[s116,s57,s52]) ).
cnf(s151,plain,
( spl51_43
| spl51_36
| ~ spl51_3
| spl51_34
| ~ spl51_25 ),
inference(rat,[],[s110,s47,s56,s48,s150]) ).
cnf(s152,plain,
( spl51_36
| spl51_34
| ~ spl51_50
| ~ spl51_25
| spl51_9
| ~ spl51_3 ),
inference(rat,[],[s151,s104,s43]) ).
cnf(s153,plain,
( spl51_34
| ~ spl51_45
| ~ spl51_50
| ~ spl51_25
| spl51_9
| ~ spl51_3 ),
inference(rat,[],[s84,s55,s40,s51,s39,s79,s101,s113,s152]) ).
cnf(s154,plain,
( spl51_51
| spl51_59
| spl51_36
| ~ spl51_34
| ~ spl51_25
| ~ spl51_3 ),
inference(rat,[],[s116,s53,s52]) ).
cnf(s155,plain,
( spl51_36
| ~ spl51_34
| ~ spl51_42
| ~ spl51_25
| spl51_9
| ~ spl51_3 ),
inference(rat,[],[s119,s47,s60,s48,s154,s84,s120,s36,s34]) ).
cnf(s156,plain,
( spl51_17
| spl51_7
| spl51_9
| ~ spl51_3
| spl51_2 ),
inference(rat,[],[s78,s58,s31,s51,s74,s79,s113,s155,s153,s72,s76,s99,s103,s13,s14,s25,s91,s3]) ).
cnf(s157,plain,
( spl51_51
| spl51_62
| spl51_36
| spl51_34
| spl51_25
| ~ spl51_3 ),
inference(rat,[],[s119,s49,s59,s50]) ).
cnf(s158,plain,
( spl51_36
| spl51_34
| spl51_25
| spl51_15
| spl51_9
| ~ spl51_3 ),
inference(rat,[],[s115,s55,s46,s157,s84,s120,s38,s37]) ).
cnf(s159,plain,
( spl51_34
| spl51_25
| ~ spl51_3
| spl51_15
| spl51_9 ),
inference(rat,[],[s57,s104,s45,s41,s102,s105,s113,s158]) ).
cnf(s160,plain,
( spl51_51
| spl51_43
| spl51_36
| ~ spl51_34
| spl51_25
| ~ spl51_3 ),
inference(rat,[],[s110,s49,s54,s50]) ).
cnf(s161,plain,
( spl51_43
| spl51_36
| ~ spl51_3
| ~ spl51_34
| spl51_25 ),
inference(rat,[],[s115,s58,s46,s160]) ).
cnf(s162,plain,
( spl51_36
| spl51_25
| spl51_15
| spl51_9
| ~ spl51_3 ),
inference(rat,[],[s161,s78,s29,s159]) ).
cnf(s163,plain,
( spl51_25
| spl51_15
| ~ spl51_3
| spl51_9 ),
inference(rat,[],[s84,s35,s53,s33,s45,s85,s102,s113,s162,s159]) ).
cnf(s164,plain,
( spl51_7
| spl51_9
| spl51_2
| ~ spl51_3 ),
inference(rat,[],[s163,s21,s88,s96,s156]) ).
cnf(s165,plain,
( ~ spl51_17
| ~ spl51_8 ),
inference(rat,[],[s90,s96]) ).
cnf(s166,plain,
( spl51_9
| ~ spl51_3
| spl51_2 ),
inference(rat,[],[s163,s98,s23,s165,s5,s6,s164,s91,s3]) ).
cnf(s167,plain,
( spl51_34
| spl51_15
| ~ spl51_25
| spl51_49
| spl51_43
| ~ spl51_3 ),
inference(rat,[],[s105,s151,s42]) ).
cnf(s168,plain,
( spl51_15
| ~ spl51_25
| spl51_37
| spl51_49
| spl51_43
| ~ spl51_3 ),
inference(rat,[],[s51,s58,s79,s113,s30,s167]) ).
cnf(s169,plain,
( ~ spl51_25
| ~ spl51_3
| spl51_2 ),
inference(rat,[],[s20,s77,s23,s96,s168,s91,s3,s71,s125,s124,s75,s166]) ).
cnf(s170,plain,
( spl51_7
| spl51_25
| ~ spl51_24
| spl51_4
| spl51_2 ),
inference(rat,[],[s89,s96,s25,s19]) ).
cnf(s171,plain,
( spl51_34
| ~ spl51_50
| spl51_25
| spl51_49
| spl51_43
| ~ spl51_3 ),
inference(rat,[],[s45,s57,s102,s113,s44]) ).
cnf(s172,plain,
( spl51_2
| spl51_1 ),
inference(rat,[],[s74,s32,s161,s171,s72,s103,s10,s12,s87,s27,s170,s169,s124,s125,s71,s75,s122,s166,s91,s3,s149]) ).
cnf(s173,plain,
spl51_1,
inference(rat,[],[s4,s2,s86,s69,s172]) ).
cnf(s174,plain,
( spl51_7
| ~ spl51_25
| spl51_3 ),
inference(rat,[],[s19,s71,s89,s133,s96,s22,s80,s69,s1,s173]) ).
cnf(s175,plain,
( spl51_15
| ~ spl51_25
| spl51_3 ),
inference(rat,[],[s10,s12,s122,s133,s69,s108,s24,s174,s93,s1,s173]) ).
cnf(s176,plain,
( ~ spl51_25
| spl51_3 ),
inference(rat,[],[s74,s32,s131,s140,s124,s125,s75,s6,s98,s72,s103,s175,s108,s24,s174,s93,s69,s1,s173]) ).
cnf(s177,plain,
( spl51_9
| spl51_15
| spl51_17
| spl51_7
| spl51_4 ),
inference(rat,[],[s13,s14]) ).
cnf(s178,plain,
( spl51_15
| spl51_7
| spl51_3 ),
inference(rat,[],[s45,s61,s102,s113,s30,s138,s124,s75,s177,s69,s94,s26,s81,s1,s176,s173]) ).
cnf(s179,plain,
( spl51_7
| spl51_3 ),
inference(rat,[],[s78,s61,s31,s45,s74,s102,s113,s145,s143,s71,s20,s77,s72,s76,s99,s103,s178,s94,s26,s81,s69,s1,s176,s173]) ).
cnf(s180,plain,
spl51_3,
inference(rat,[],[s45,s61,s102,s113,s30,s138,s124,s75,s5,s165,s96,s28,s179,s176,s69,s82,s1,s173]) ).
cnf(s181,plain,
spl51_6,
inference(rat,[],[s4,s180]) ).
cnf(s182,plain,
spl51_5,
inference(rat,[],[s3,s180]) ).
cnf(s183,plain,
~ spl51_2,
inference(rat,[],[s86,s69,s181]) ).
cnf(s184,plain,
spl51_9,
inference(rat,[],[s166,s180,s183]) ).
cnf(s185,plain,
~ spl51_25,
inference(rat,[],[s169,s180,s183]) ).
cnf(s186,plain,
~ spl51_4,
inference(rat,[],[s91,s182,s183]) ).
cnf(s188,plain,
spl51_16,
inference(rat,[],[s122,s184]) ).
cnf(s190,plain,
~ spl51_43,
inference(rat,[],[s75,s184]) ).
cnf(s191,plain,
spl51_24,
inference(rat,[],[s71,s184]) ).
cnf(s193,plain,
~ spl51_49,
inference(rat,[],[s125,s190,s184]) ).
cnf(s194,plain,
~ spl51_37,
inference(rat,[],[s124,s190,s184]) ).
cnf(s195,plain,
spl51_7,
inference(rat,[],[s170,s183,s186,s185,s191]) ).
cnf(s196,plain,
spl51_32,
inference(rat,[],[s27,s183,s185,s195]) ).
cnf(s197,plain,
~ spl51_17,
inference(rat,[],[s87,s196]) ).
cnf(s199,plain,
spl51_14,
inference(rat,[],[s12,s188,s195,s186,s197]) ).
cnf(s200,plain,
spl51_15,
inference(rat,[],[s10,s195,s188,s186,s199]) ).
cnf(s201,plain,
spl51_50,
inference(rat,[],[s103,s200]) ).
cnf(s205,plain,
spl51_38,
inference(rat,[],[s72,s200]) ).
cnf(s208,plain,
spl51_34,
inference(rat,[],[s171,s180,s190,s193,s185,s201]) ).
cnf(s209,plain,
spl51_39,
inference(rat,[],[s32,s208,s194,s205]) ).
cnf(s211,plain,
spl51_36,
inference(rat,[],[s161,s185,s190,s180,s208]) ).
cnf(s212,plain,
$false,
inference(rat,[],[s74,s209,s211]) ).
fof(f491,plain,
$false,
inference(avatar_sat_refutation,[],[s212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN723+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:52:17 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.99/1.12 % (2770253)Detected formulas, will run a generic FOF schedule.
% 2.99/1.12 % (2770341)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=1763649428:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.12 % (2770340)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=1872153552:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.12 % (2770348)dis-21_1_sil=8000:lcm=predicate:random_seed=3041493364:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.99/1.12 % (2770345)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=475201924:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.12 % (2770344)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3806280928:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.12 % (2770347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3108662917:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.12 % (2770342)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=3969468039:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.12 % (2770344)Refutation not found, incomplete strategy
% 2.99/1.12 % (2770344)------------------------------
% 2.99/1.12 % (2770344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.12 % (2770344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.12 % (2770344)CaDiCaL version: 2.1.3
% 2.99/1.12 % (2770344)Termination reason: Refutation not found, incomplete strategy
% 2.99/1.12 % (2770344)Time elapsed: 0.004 s
% 2.99/1.12 % (2770344)Peak memory usage: 88 MB
% 2.99/1.12 % (2770344)Instructions burned: 6 (million)
% 2.99/1.12 % (2770348)First to succeed.
% 2.99/1.12 % (2770347)Also succeeded, but the first one will report.
% 2.99/1.12 % (2770348)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2770253"
% 2.99/1.12 % (2770345)Instruction limit reached!
% 2.99/1.12 % (2770345)------------------------------
% 2.99/1.12 % (2770345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.12 % (2770345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.12 % (2770345)CaDiCaL version: 2.1.3
% 2.99/1.12 % (2770345)Termination reason: Instruction limit
% 2.99/1.12 % (2770345)Termination phase: Saturation
% 2.99/1.12 % (2770345)Time elapsed: 0.061 s
% 2.99/1.12 % (2770345)Peak memory usage: 87 MB
% 2.99/1.12 % (2770345)Instructions burned: 119 (million)
% 2.99/1.12 % (2770377)lrs+10_1_sil=8000:sp=occurrence:random_seed=1326084030:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.99/1.12 % (2770377)Also succeeded, but the first one will report.
% 2.99/1.12 % (2770344)------------------------------
% 2.99/1.12 % (2770344)------------------------------
% 2.99/1.12 % (2770348)Refutation found. Thanks to Tanya!
% 2.99/1.12 % SZS status Theorem for theBenchmark
% 2.99/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.32 % (2770348)------------------------------
% 3.85/1.32 % (2770348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.32 % (2770348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.32 % (2770348)CaDiCaL version: 2.1.3
% 3.85/1.32 % (2770348)Termination reason: Refutation
% 3.85/1.32 % (2770348)Time elapsed: 0.014 s
% 3.85/1.32 % (2770348)Peak memory usage: 89 MB
% 3.85/1.32 % (2770348)Instructions burned: 19 (million)
% 3.85/1.32 % (2770348)------------------------------
% 3.85/1.32 % (2770348)------------------------------
% 3.85/1.32 % (2770253)Success in time 0.441 s
% 3.85/1.32 % Vampire exiting
%------------------------------------------------------------------------------