%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN917+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 02:22:51 PM UTC 2026
% Result : Theorem 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 89
% Syntax : Number of formulae : 561 ( 20 unt; 88 def)
% Number of atoms : 2437 ( 0 equ)
% Maximal formula atoms : 94 ( 4 avg)
% Number of connectives : 2955 (1079 ~;1268 |; 371 &)
% ( 99 <=>; 108 =>; 0 <=; 30 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 96 ( 95 usr; 90 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 29 con; 0-1 aty)
% Number of variables : 631 ( 4 sgn 428 !; 203 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( ! [X0] :
( ( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( f(X5)
& g(X5)
& ~ h(X5) ) ) )
& ( ( ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) )
& ! [X0,X1,X3] :
( ( r(X0,X1)
& r(X1,X3) )
=> r(X0,X3) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ( ! [X0] :
( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( f(X5)
& g(X5)
& ~ h(X5) ) ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ! [X0] :
( p(X0)
& q(X0) )
<=> ( ! [X0] : p(X0)
& ! [X0] : q(X0) ) )
& ( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( p(X0)
| q(X0) ) )
& ( ? [X0] :
( p(X0)
| q(X0) )
<=> ( ? [X0] : p(X0)
| ? [X0] : q(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ? [X0] :
( p(X0)
& q(X0) )
=> ( ? [X0] : p(X0)
& ? [X0] : q(X0) ) )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] :
( p(X0)
| c )
<=> ( ! [X0] : p(X0)
| c ) )
& ( ? [X0] :
( p(X0)
& c )
<=> ( ? [X0] : p(X0)
& c ) )
& ( ? [X0] : c
<=> c )
& ( ! [X0] : c
<=> c )
& ( ? [X0] :
( c
=> p(X0) )
<=> ( c
=> ? [X0] : p(X0) ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X0] :
( ( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( f(X5)
& g(X5)
& ~ h(X5) ) ) )
& ( ( ! [X0,X1] :
( r(X0,X1)
=> r(X1,X0) )
& ! [X0,X1,X3] :
( ( r(X0,X1)
& r(X1,X3) )
=> r(X0,X3) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ( ( ! [X0] :
( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( f(X5)
& g(X5)
& ~ h(X5) ) ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ! [X0] :
( p(X0)
& q(X0) )
<=> ( ! [X0] : p(X0)
& ! [X0] : q(X0) ) )
& ( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( p(X0)
| q(X0) ) )
& ( ? [X0] :
( p(X0)
| q(X0) )
<=> ( ? [X0] : p(X0)
| ? [X0] : q(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) )
& ( ? [X0] :
( p(X0)
& q(X0) )
=> ( ? [X0] : p(X0)
& ? [X0] : q(X0) ) )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] :
( p(X0)
| c )
<=> ( ! [X0] : p(X0)
| c ) )
& ( ? [X0] :
( p(X0)
& c )
<=> ( ? [X0] : p(X0)
& c ) )
& ( ? [X0] : c
<=> c )
& ( ! [X0] : c
<=> c )
& ( ? [X0] :
( c
=> p(X0) )
<=> ( c
=> ? [X0] : p(X0) ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ( ! [X0] :
( ( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( f(X5)
& g(X5)
& ~ h(X5) ) ) )
& ( ( ! [X6,X7] :
( r(X6,X7)
=> r(X7,X6) )
& ! [X8,X9,X10] :
( ( r(X8,X9)
& r(X9,X10) )
=> r(X8,X10) ) )
=> ! [X11,X12] :
( r(X11,X12)
=> r(X11,X11) ) )
& ( ( ( ! [X13] :
( ( f(X13)
& g(X13) )
=> h(X13) )
=> ? [X14] :
( f(X14)
& ~ g(X14) ) )
& ( ! [X15] :
( f(X15)
=> g(X15) )
| ! [X16] :
( f(X16)
=> h(X16) ) ) )
=> ( ! [X17] :
( ( f(X17)
& h(X17) )
=> g(X17) )
=> ? [X18] :
( f(X18)
& g(X18)
& ~ h(X18) ) ) )
& ? [X19] :
! [X20] :
( ( p(X20)
=> q(X19) )
=> ( p(X19)
=> q(X19) ) )
& ( ! [X21] :
( p(X21)
& q(X21) )
<=> ( ! [X22] : p(X22)
& ! [X23] : q(X23) ) )
& ( ( ! [X24] : p(X24)
| ! [X25] : q(X25) )
=> ! [X26] :
( p(X26)
| q(X26) ) )
& ( ? [X27] :
( p(X27)
| q(X27) )
<=> ( ? [X28] : p(X28)
| ? [X29] : q(X29) ) )
& ? [X30] :
( p(X30)
=> ! [X31] : p(X31) )
& ( ? [X32] :
( p(X32)
& q(X32) )
=> ( ? [X33] : p(X33)
& ? [X34] : q(X34) ) )
& ! [X35] :
( ! [X36] : p(X36)
=> p(X35) )
& ( ! [X37] : p(X37)
=> ? [X38] : p(X38) )
& ( ~ ? [X39] : p(X39)
=> ! [X40] :
( ? [X41] : p(X41)
=> p(X40) ) )
& ( ! [X42] :
( p(X42)
| c )
<=> ( ! [X43] : p(X43)
| c ) )
& ( ? [X44] :
( p(X44)
& c )
<=> ( ? [X45] : p(X45)
& c ) )
& ( c
<=> c )
& ( c
<=> c )
& ( ? [X48] :
( c
=> p(X48) )
<=> ( c
=> ? [X49] : p(X49) ) )
& ( ? [X50] :
( p(X50)
=> c )
<=> ( ! [X51] : p(X51)
=> c ) )
& ( ! [X52] :
( c
=> p(X52) )
<=> ( c
=> ! [X53] : p(X53) ) )
& ( ! [X54] :
( p(X54)
=> c )
<=> ( ? [X55] : p(X55)
=> c ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ( ! [X5] :
( ~ f(X5)
| ~ g(X5)
| h(X5) )
& ! [X4] :
( g(X4)
| ~ f(X4)
| ~ h(X4) )
& ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( ~ h(X0)
& f(X0)
& g(X0) ) )
& ( ! [X2] :
( g(X2)
| ~ f(X2) )
| ! [X3] :
( h(X3)
| ~ f(X3) ) ) )
| ( ? [X11,X12] :
( ~ r(X11,X11)
& r(X11,X12) )
& ! [X6,X7] :
( r(X7,X6)
| ~ r(X6,X7) )
& ! [X8,X9,X10] :
( r(X8,X10)
| ~ r(X8,X9)
| ~ r(X9,X10) ) )
| ( ! [X18] :
( ~ f(X18)
| ~ g(X18)
| h(X18) )
& ! [X17] :
( g(X17)
| ~ f(X17)
| ~ h(X17) )
& ( ? [X14] :
( f(X14)
& ~ g(X14) )
| ? [X13] :
( ~ h(X13)
& f(X13)
& g(X13) ) )
& ( ! [X15] :
( g(X15)
| ~ f(X15) )
| ! [X16] :
( h(X16)
| ~ f(X16) ) ) )
| ! [X19] :
? [X20] :
( ~ q(X19)
& p(X19)
& ( q(X19)
| ~ p(X20) ) )
| ( ! [X21] :
( p(X21)
& q(X21) )
<~> ( ! [X22] : p(X22)
& ! [X23] : q(X23) ) )
| ( ? [X26] :
( ~ p(X26)
& ~ q(X26) )
& ( ! [X24] : p(X24)
| ! [X25] : q(X25) ) )
| ( ? [X27] :
( p(X27)
| q(X27) )
<~> ( ? [X28] : p(X28)
| ? [X29] : q(X29) ) )
| ! [X30] :
( ? [X31] : ~ p(X31)
& p(X30) )
| ( ( ! [X33] : ~ p(X33)
| ! [X34] : ~ q(X34) )
& ? [X32] :
( p(X32)
& q(X32) ) )
| ? [X35] :
( ~ p(X35)
& ! [X36] : p(X36) )
| ( ! [X38] : ~ p(X38)
& ! [X37] : p(X37) )
| ( ? [X40] :
( ~ p(X40)
& ? [X41] : p(X41) )
& ! [X39] : ~ p(X39) )
| ( ! [X42] :
( p(X42)
| c )
<~> ( ! [X43] : p(X43)
| c ) )
| ( ? [X44] :
( p(X44)
& c )
<~> ( ? [X45] : p(X45)
& c ) )
| ( c
<~> c )
| ( c
<~> c )
| ( ? [X48] :
( p(X48)
| ~ c )
<~> ( ? [X49] : p(X49)
| ~ c ) )
| ( ? [X50] :
( c
| ~ p(X50) )
<~> ( c
| ? [X51] : ~ p(X51) ) )
| ( ! [X52] :
( p(X52)
| ~ c )
<~> ( ! [X53] : p(X53)
| ~ c ) )
| ( ! [X54] :
( c
| ~ p(X54) )
<~> ( c
| ! [X55] : ~ p(X55) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X5] :
( ~ f(X5)
| ~ g(X5)
| h(X5) )
& ! [X4] :
( g(X4)
| ~ f(X4)
| ~ h(X4) )
& ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( ~ h(X0)
& f(X0)
& g(X0) ) )
& ( ! [X2] :
( g(X2)
| ~ f(X2) )
| ! [X3] :
( h(X3)
| ~ f(X3) ) ) )
| ( ? [X11,X12] :
( ~ r(X11,X11)
& r(X11,X12) )
& ! [X6,X7] :
( r(X7,X6)
| ~ r(X6,X7) )
& ! [X8,X9,X10] :
( r(X8,X10)
| ~ r(X8,X9)
| ~ r(X9,X10) ) )
| ( ! [X18] :
( ~ f(X18)
| ~ g(X18)
| h(X18) )
& ! [X17] :
( g(X17)
| ~ f(X17)
| ~ h(X17) )
& ( ? [X14] :
( f(X14)
& ~ g(X14) )
| ? [X13] :
( ~ h(X13)
& f(X13)
& g(X13) ) )
& ( ! [X15] :
( g(X15)
| ~ f(X15) )
| ! [X16] :
( h(X16)
| ~ f(X16) ) ) )
| ! [X19] :
? [X20] :
( ~ q(X19)
& p(X19)
& ( q(X19)
| ~ p(X20) ) )
| ( ! [X21] :
( p(X21)
& q(X21) )
<~> ( ! [X22] : p(X22)
& ! [X23] : q(X23) ) )
| ( ? [X26] :
( ~ p(X26)
& ~ q(X26) )
& ( ! [X24] : p(X24)
| ! [X25] : q(X25) ) )
| ( ? [X27] :
( p(X27)
| q(X27) )
<~> ( ? [X28] : p(X28)
| ? [X29] : q(X29) ) )
| ! [X30] :
( ? [X31] : ~ p(X31)
& p(X30) )
| ( ( ! [X33] : ~ p(X33)
| ! [X34] : ~ q(X34) )
& ? [X32] :
( p(X32)
& q(X32) ) )
| ? [X35] :
( ~ p(X35)
& ! [X36] : p(X36) )
| ( ! [X38] : ~ p(X38)
& ! [X37] : p(X37) )
| ( ? [X40] :
( ~ p(X40)
& ? [X41] : p(X41) )
& ! [X39] : ~ p(X39) )
| ( ! [X42] :
( p(X42)
| c )
<~> ( ! [X43] : p(X43)
| c ) )
| ( ? [X44] :
( p(X44)
& c )
<~> ( ? [X45] : p(X45)
& c ) )
| ( c
<~> c )
| ( c
<~> c )
| ( ? [X48] :
( p(X48)
| ~ c )
<~> ( ? [X49] : p(X49)
| ~ c ) )
| ( ? [X50] :
( c
| ~ p(X50) )
<~> ( c
| ? [X51] : ~ p(X51) ) )
| ( ! [X52] :
( p(X52)
| ~ c )
<~> ( ! [X53] : p(X53)
| ~ c ) )
| ( ! [X54] :
( c
| ~ p(X54) )
<~> ( c
| ! [X55] : ~ p(X55) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,definition,
( ? [X14] :
( f(X14)
& ~ g(X14) )
| ? [X13] :
( ~ h(X13)
& f(X13)
& g(X13) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f7,definition,
( ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( ~ h(X0)
& f(X0)
& g(X0) ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ( ! [X54] :
( c
| ~ p(X54) )
<~> ( c
| ! [X55] : ~ p(X55) ) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ( ! [X52] :
( p(X52)
| ~ c )
<~> ( ! [X53] : p(X53)
| ~ c ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ( ? [X50] :
( c
| ~ p(X50) )
<~> ( c
| ? [X51] : ~ p(X51) ) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( ? [X48] :
( p(X48)
| ~ c )
<~> ( ? [X49] : p(X49)
| ~ c ) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( ? [X44] :
( p(X44)
& c )
<~> ( ? [X45] : p(X45)
& c ) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( ! [X42] :
( p(X42)
| c )
<~> ( ! [X43] : p(X43)
| c ) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( ? [X27] :
( p(X27)
| q(X27) )
<~> ( ? [X28] : p(X28)
| ? [X29] : q(X29) ) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( ! [X21] :
( p(X21)
& q(X21) )
<~> ( ! [X22] : p(X22)
& ! [X23] : q(X23) ) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( ! [X18] :
( ~ f(X18)
| ~ g(X18)
| h(X18) )
& ! [X17] :
( g(X17)
| ~ f(X17)
| ~ h(X17) )
& sP0
& ( ! [X15] :
( g(X15)
| ~ f(X15) )
| ! [X16] :
( h(X16)
| ~ f(X16) ) ) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( ? [X11,X12] :
( ~ r(X11,X11)
& r(X11,X12) )
& ! [X6,X7] :
( r(X7,X6)
| ~ r(X6,X7) )
& ! [X8,X9,X10] :
( r(X8,X10)
| ~ r(X8,X9)
| ~ r(X9,X10) ) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( ! [X5] :
( ~ f(X5)
| ~ g(X5)
| h(X5) )
& ! [X4] :
( g(X4)
| ~ f(X4)
| ~ h(X4) )
& sP1
& ( ! [X2] :
( g(X2)
| ~ f(X2) )
| ! [X3] :
( h(X3)
| ~ f(X3) ) ) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( ? [X40] :
( ~ p(X40)
& ? [X41] : p(X41) )
& ! [X39] : ~ p(X39) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( ( ! [X33] : ~ p(X33)
| ! [X34] : ~ q(X34) )
& ? [X32] :
( p(X32)
& q(X32) ) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( ? [X26] :
( ~ p(X26)
& ~ q(X26) )
& ( ! [X24] : p(X24)
| ! [X25] : q(X25) ) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ! [X19] :
? [X20] :
( ~ q(X19)
& p(X19)
& ( q(X19)
| ~ p(X20) ) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( c
<~> c )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( c
<~> c )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f25,plain,
( sP12
| sP11
| sP10
| sP16
| sP9
| sP15
| sP8
| ! [X30] :
( ? [X31] : ~ p(X31)
& p(X30) )
| sP14
| ? [X35] :
( ~ p(X35)
& ! [X36] : p(X36) )
| ( ! [X38] : ~ p(X38)
& ! [X37] : p(X37) )
| sP13
| sP7
| sP6
| sP18
| sP17
| sP5
| sP4
| sP3
| sP2 ),
inference(definition_folding,[],[f5,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f26,plain,
( ( ( ~ c
| ~ c )
& ( c
| c ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f27,plain,
( ( ( ~ c
| ~ c )
& ( c
| c ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f28,plain,
( ! [X19] :
? [X20] :
( ~ q(X19)
& p(X19)
& ( q(X19)
| ~ p(X20) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f29,plain,
( ! [X0] :
? [X1] :
( ~ q(X0)
& p(X0)
& ( q(X0)
| ~ p(X1) ) )
| ~ sP16 ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
( ! [X0] :
( ~ q(X0)
& p(X0)
& ( q(X0)
| ~ p(sK19(X0)) ) )
| ~ sP16 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X1,sK19(X0))],[f29]) ).
fof(f31,plain,
( ( ? [X26] :
( ~ p(X26)
& ~ q(X26) )
& ( ! [X24] : p(X24)
| ! [X25] : q(X25) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f32,plain,
( ( ? [X0] :
( ~ p(X0)
& ~ q(X0) )
& ( ! [X1] : p(X1)
| ! [X2] : q(X2) ) )
| ~ sP15 ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
( ( ~ p(sK20)
& ~ q(sK20)
& ( ! [X1] : p(X1)
| ! [X2] : q(X2) ) )
| ~ sP15 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f32]) ).
fof(f34,plain,
( ( ( ! [X33] : ~ p(X33)
| ! [X34] : ~ q(X34) )
& ? [X32] :
( p(X32)
& q(X32) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f35,plain,
( ( ( ! [X0] : ~ p(X0)
| ! [X1] : ~ q(X1) )
& ? [X2] :
( p(X2)
& q(X2) ) )
| ~ sP14 ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
( ( ( ! [X0] : ~ p(X0)
| ! [X1] : ~ q(X1) )
& p(sK21)
& q(sK21) )
| ~ sP14 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X2,sK21)],[f35]) ).
fof(f37,plain,
( ( ? [X40] :
( ~ p(X40)
& ? [X41] : p(X41) )
& ! [X39] : ~ p(X39) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f38,plain,
( ( ? [X0] :
( ~ p(X0)
& ? [X1] : p(X1) )
& ! [X2] : ~ p(X2) )
| ~ sP13 ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
( ( ~ p(sK22)
& p(sK23)
& ! [X2] : ~ p(X2) )
| ~ sP13 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X0,sK22),skolemize(X1,sK23)],[f38]) ).
fof(f40,plain,
( ( ! [X5] :
( ~ f(X5)
| ~ g(X5)
| h(X5) )
& ! [X4] :
( g(X4)
| ~ f(X4)
| ~ h(X4) )
& sP1
& ( ! [X2] :
( g(X2)
| ~ f(X2) )
| ! [X3] :
( h(X3)
| ~ f(X3) ) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f41,plain,
( ( ! [X0] :
( ~ f(X0)
| ~ g(X0)
| h(X0) )
& ! [X1] :
( g(X1)
| ~ f(X1)
| ~ h(X1) )
& sP1
& ( ! [X2] :
( g(X2)
| ~ f(X2) )
| ! [X3] :
( h(X3)
| ~ f(X3) ) ) )
| ~ sP12 ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
( ( ? [X11,X12] :
( ~ r(X11,X11)
& r(X11,X12) )
& ! [X6,X7] :
( r(X7,X6)
| ~ r(X6,X7) )
& ! [X8,X9,X10] :
( r(X8,X10)
| ~ r(X8,X9)
| ~ r(X9,X10) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f43,plain,
( ( ? [X0,X1] :
( ~ r(X0,X0)
& r(X0,X1) )
& ! [X2,X3] :
( r(X3,X2)
| ~ r(X2,X3) )
& ! [X4,X5,X6] :
( r(X4,X6)
| ~ r(X4,X5)
| ~ r(X5,X6) ) )
| ~ sP11 ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
( ( ~ r(sK24,sK24)
& r(sK24,sK25)
& ! [X2,X3] :
( r(X3,X2)
| ~ r(X2,X3) )
& ! [X4,X5,X6] :
( r(X4,X6)
| ~ r(X4,X5)
| ~ r(X5,X6) ) )
| ~ sP11 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25]),skolemize(X0,sK24),skolemize(X1,sK25)],[f43]) ).
fof(f45,plain,
( ( ! [X18] :
( ~ f(X18)
| ~ g(X18)
| h(X18) )
& ! [X17] :
( g(X17)
| ~ f(X17)
| ~ h(X17) )
& sP0
& ( ! [X15] :
( g(X15)
| ~ f(X15) )
| ! [X16] :
( h(X16)
| ~ f(X16) ) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f46,plain,
( ( ! [X0] :
( ~ f(X0)
| ~ g(X0)
| h(X0) )
& ! [X1] :
( g(X1)
| ~ f(X1)
| ~ h(X1) )
& sP0
& ( ! [X2] :
( g(X2)
| ~ f(X2) )
| ! [X3] :
( h(X3)
| ~ f(X3) ) ) )
| ~ sP10 ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
( ( ( ? [X22] : ~ p(X22)
| ? [X23] : ~ q(X23)
| ? [X21] :
( ~ p(X21)
| ~ q(X21) ) )
& ( ( ! [X22] : p(X22)
& ! [X23] : q(X23) )
| ! [X21] :
( p(X21)
& q(X21) ) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f48,plain,
( ( ( ? [X22] : ~ p(X22)
| ? [X23] : ~ q(X23)
| ? [X21] :
( ~ p(X21)
| ~ q(X21) ) )
& ( ( ! [X22] : p(X22)
& ! [X23] : q(X23) )
| ! [X21] :
( p(X21)
& q(X21) ) ) )
| ~ sP9 ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
( ( ( ? [X0] : ~ p(X0)
| ? [X1] : ~ q(X1)
| ? [X2] :
( ~ p(X2)
| ~ q(X2) ) )
& ( ( ! [X3] : p(X3)
& ! [X4] : q(X4) )
| ! [X5] :
( p(X5)
& q(X5) ) ) )
| ~ sP9 ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
( ( ( ~ p(sK26)
| ~ q(sK27)
| ~ p(sK28)
| ~ q(sK28) )
& ( ( ! [X3] : p(X3)
& ! [X4] : q(X4) )
| ! [X5] :
( p(X5)
& q(X5) ) ) )
| ~ sP9 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26,sK27,sK28]),skolemize(X0,sK26),skolemize(X1,sK27),skolemize(X2,sK28)],[f49]) ).
fof(f51,plain,
( ( ( ( ! [X28] : ~ p(X28)
& ! [X29] : ~ q(X29) )
| ! [X27] :
( ~ p(X27)
& ~ q(X27) ) )
& ( ? [X28] : p(X28)
| ? [X29] : q(X29)
| ? [X27] :
( p(X27)
| q(X27) ) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f52,plain,
( ( ( ( ! [X28] : ~ p(X28)
& ! [X29] : ~ q(X29) )
| ! [X27] :
( ~ p(X27)
& ~ q(X27) ) )
& ( ? [X28] : p(X28)
| ? [X29] : q(X29)
| ? [X27] :
( p(X27)
| q(X27) ) ) )
| ~ sP8 ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
( ( ( ( ! [X0] : ~ p(X0)
& ! [X1] : ~ q(X1) )
| ! [X2] :
( ~ p(X2)
& ~ q(X2) ) )
& ( ? [X3] : p(X3)
| ? [X4] : q(X4)
| ? [X5] :
( p(X5)
| q(X5) ) ) )
| ~ sP8 ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
( ( ( ( ! [X0] : ~ p(X0)
& ! [X1] : ~ q(X1) )
| ! [X2] :
( ~ p(X2)
& ~ q(X2) ) )
& ( p(sK29)
| q(sK30)
| p(sK31)
| q(sK31) ) )
| ~ sP8 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30,sK31]),skolemize(X3,sK29),skolemize(X4,sK30),skolemize(X5,sK31)],[f53]) ).
fof(f55,plain,
( ( ( ( ? [X43] : ~ p(X43)
& ~ c )
| ? [X42] :
( ~ p(X42)
& ~ c ) )
& ( ! [X43] : p(X43)
| c
| ! [X42] :
( p(X42)
| c ) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f56,plain,
( ( ( ( ? [X43] : ~ p(X43)
& ~ c )
| ? [X42] :
( ~ p(X42)
& ~ c ) )
& ( ! [X43] : p(X43)
| c
| ! [X42] :
( p(X42)
| c ) ) )
| ~ sP7 ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
( ( ( ( ? [X0] : ~ p(X0)
& ~ c )
| ? [X1] :
( ~ p(X1)
& ~ c ) )
& ( ! [X2] : p(X2)
| c
| ! [X3] :
( p(X3)
| c ) ) )
| ~ sP7 ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
( ( ( ( ~ p(sK32)
& ~ c )
| ( ~ p(sK33)
& ~ c ) )
& ( ! [X2] : p(X2)
| c
| ! [X3] :
( p(X3)
| c ) ) )
| ~ sP7 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X0,sK32),skolemize(X1,sK33)],[f57]) ).
fof(f59,plain,
( ( ( ! [X45] : ~ p(X45)
| ~ c
| ! [X44] :
( ~ p(X44)
| ~ c ) )
& ( ( ? [X45] : p(X45)
& c )
| ? [X44] :
( p(X44)
& c ) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f60,plain,
( ( ( ! [X45] : ~ p(X45)
| ~ c
| ! [X44] :
( ~ p(X44)
| ~ c ) )
& ( ( ? [X45] : p(X45)
& c )
| ? [X44] :
( p(X44)
& c ) ) )
| ~ sP6 ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
( ( ( ! [X0] : ~ p(X0)
| ~ c
| ! [X1] :
( ~ p(X1)
| ~ c ) )
& ( ( ? [X2] : p(X2)
& c )
| ? [X3] :
( p(X3)
& c ) ) )
| ~ sP6 ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
( ( ( ! [X0] : ~ p(X0)
| ~ c
| ! [X1] :
( ~ p(X1)
| ~ c ) )
& ( ( p(sK34)
& c )
| ( p(sK35)
& c ) ) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X2,sK34),skolemize(X3,sK35)],[f61]) ).
fof(f63,plain,
( ( ( ( ! [X49] : ~ p(X49)
& c )
| ! [X48] :
( ~ p(X48)
& c ) )
& ( ? [X49] : p(X49)
| ~ c
| ? [X48] :
( p(X48)
| ~ c ) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f64,plain,
( ( ( ( ! [X49] : ~ p(X49)
& c )
| ! [X48] :
( ~ p(X48)
& c ) )
& ( ? [X49] : p(X49)
| ~ c
| ? [X48] :
( p(X48)
| ~ c ) ) )
| ~ sP5 ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
( ( ( ( ! [X0] : ~ p(X0)
& c )
| ! [X1] :
( ~ p(X1)
& c ) )
& ( ? [X2] : p(X2)
| ~ c
| ? [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP5 ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
( ( ( ( ! [X0] : ~ p(X0)
& c )
| ! [X1] :
( ~ p(X1)
& c ) )
& ( p(sK36)
| ~ c
| p(sK37)
| ~ c ) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X2,sK36),skolemize(X3,sK37)],[f65]) ).
fof(f67,plain,
( ( ( ( ~ c
& ! [X51] : p(X51) )
| ! [X50] :
( ~ c
& p(X50) ) )
& ( c
| ? [X51] : ~ p(X51)
| ? [X50] :
( c
| ~ p(X50) ) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f68,plain,
( ( ( ( ~ c
& ! [X51] : p(X51) )
| ! [X50] :
( ~ c
& p(X50) ) )
& ( c
| ? [X51] : ~ p(X51)
| ? [X50] :
( c
| ~ p(X50) ) ) )
| ~ sP4 ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
( ( ( ( ~ c
& ! [X0] : p(X0) )
| ! [X1] :
( ~ c
& p(X1) ) )
& ( c
| ? [X2] : ~ p(X2)
| ? [X3] :
( c
| ~ p(X3) ) ) )
| ~ sP4 ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
( ( ( ( ~ c
& ! [X0] : p(X0) )
| ! [X1] :
( ~ c
& p(X1) ) )
& ( c
| ~ p(sK38)
| c
| ~ p(sK39) ) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X2,sK38),skolemize(X3,sK39)],[f69]) ).
fof(f71,plain,
( ( ( ( ? [X53] : ~ p(X53)
& c )
| ? [X52] :
( ~ p(X52)
& c ) )
& ( ! [X53] : p(X53)
| ~ c
| ! [X52] :
( p(X52)
| ~ c ) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f72,plain,
( ( ( ( ? [X53] : ~ p(X53)
& c )
| ? [X52] :
( ~ p(X52)
& c ) )
& ( ! [X53] : p(X53)
| ~ c
| ! [X52] :
( p(X52)
| ~ c ) ) )
| ~ sP3 ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( ( ( ( ? [X0] : ~ p(X0)
& c )
| ? [X1] :
( ~ p(X1)
& c ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP3 ),
inference(rectify,[],[f72]) ).
fof(f74,plain,
( ( ( ( ~ p(sK40)
& c )
| ( ~ p(sK41)
& c ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X0,sK40),skolemize(X1,sK41)],[f73]) ).
fof(f75,plain,
( ( ( ( ~ c
& ? [X55] : p(X55) )
| ? [X54] :
( ~ c
& p(X54) ) )
& ( c
| ! [X55] : ~ p(X55)
| ! [X54] :
( c
| ~ p(X54) ) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f76,plain,
( ( ( ( ~ c
& ? [X55] : p(X55) )
| ? [X54] :
( ~ c
& p(X54) ) )
& ( c
| ! [X55] : ~ p(X55)
| ! [X54] :
( c
| ~ p(X54) ) ) )
| ~ sP2 ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
( ( ( ( ~ c
& ? [X0] : p(X0) )
| ? [X1] :
( ~ c
& p(X1) ) )
& ( c
| ! [X2] : ~ p(X2)
| ! [X3] :
( c
| ~ p(X3) ) ) )
| ~ sP2 ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
( ( ( ( ~ c
& p(sK42) )
| ( ~ c
& p(sK43) ) )
& ( c
| ! [X2] : ~ p(X2)
| ! [X3] :
( c
| ~ p(X3) ) ) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43]),skolemize(X0,sK42),skolemize(X1,sK43)],[f77]) ).
fof(f79,plain,
( ! [X0] :
( ? [X1] :
( f(X1)
& ~ g(X1) )
| ( ~ h(X0)
& f(X0)
& g(X0) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f80,plain,
( ! [X0] :
( ( f(sK44)
& ~ g(sK44) )
| ( ~ h(X0)
& f(X0)
& g(X0) ) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X1,sK44)],[f79]) ).
fof(f81,plain,
( ? [X14] :
( f(X14)
& ~ g(X14) )
| ? [X13] :
( ~ h(X13)
& f(X13)
& g(X13) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f82,plain,
( ? [X0] :
( f(X0)
& ~ g(X0) )
| ? [X1] :
( ~ h(X1)
& f(X1)
& g(X1) )
| ~ sP0 ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
( ( f(sK45)
& ~ g(sK45) )
| ( ~ h(sK46)
& f(sK46)
& g(sK46) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f82]) ).
fof(f84,plain,
( sP12
| sP11
| sP10
| sP16
| sP9
| sP15
| sP8
| ! [X0] :
( ? [X1] : ~ p(X1)
& p(X0) )
| sP14
| ? [X2] :
( ~ p(X2)
& ! [X3] : p(X3) )
| ( ! [X4] : ~ p(X4)
& ! [X5] : p(X5) )
| sP13
| sP7
| sP6
| sP18
| sP17
| sP5
| sP4
| sP3
| sP2 ),
inference(rectify,[],[f25]) ).
fof(f85,plain,
( sP12
| sP11
| sP10
| sP16
| sP9
| sP15
| sP8
| ! [X0] :
( ~ p(sK47)
& p(X0) )
| sP14
| ( ~ p(sK48)
& ! [X3] : p(X3) )
| ( ! [X4] : ~ p(X4)
& ! [X5] : p(X5) )
| sP13
| sP7
| sP6
| sP18
| sP17
| sP5
| sP4
| sP3
| sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48]),skolemize(X1,sK47),skolemize(X2,sK48)],[f84]) ).
fof(f86,plain,
( c
| c
| ~ sP18 ),
inference(cnf_transformation,[],[f26]) ).
fof(f87,plain,
( ~ c
| ~ c
| ~ sP18 ),
inference(cnf_transformation,[],[f26]) ).
fof(f88,plain,
( c
| c
| ~ sP17 ),
inference(cnf_transformation,[],[f27]) ).
fof(f89,plain,
( ~ c
| ~ c
| ~ sP17 ),
inference(cnf_transformation,[],[f27]) ).
fof(f90,plain,
! [X0] :
( q(X0)
| ~ p(sK19(X0))
| ~ sP16 ),
inference(cnf_transformation,[],[f30]) ).
fof(f91,plain,
! [X0] :
( p(X0)
| ~ sP16 ),
inference(cnf_transformation,[],[f30]) ).
fof(f92,plain,
! [X0] :
( ~ q(X0)
| ~ sP16 ),
inference(cnf_transformation,[],[f30]) ).
fof(f93,plain,
! [X2,X1] :
( p(X1)
| q(X2)
| ~ sP15 ),
inference(cnf_transformation,[],[f33]) ).
fof(f94,plain,
( ~ q(sK20)
| ~ sP15 ),
inference(cnf_transformation,[],[f33]) ).
fof(f95,plain,
( ~ p(sK20)
| ~ sP15 ),
inference(cnf_transformation,[],[f33]) ).
fof(f96,plain,
( q(sK21)
| ~ sP14 ),
inference(cnf_transformation,[],[f36]) ).
fof(f97,plain,
( p(sK21)
| ~ sP14 ),
inference(cnf_transformation,[],[f36]) ).
fof(f98,plain,
! [X0,X1] :
( ~ p(X0)
| ~ q(X1)
| ~ sP14 ),
inference(cnf_transformation,[],[f36]) ).
fof(f99,plain,
! [X2] :
( ~ p(X2)
| ~ sP13 ),
inference(cnf_transformation,[],[f39]) ).
fof(f100,plain,
( p(sK23)
| ~ sP13 ),
inference(cnf_transformation,[],[f39]) ).
fof(f102,plain,
! [X2,X3] :
( g(X2)
| ~ f(X2)
| h(X3)
| ~ f(X3)
| ~ sP12 ),
inference(cnf_transformation,[],[f41]) ).
fof(f103,plain,
( sP1
| ~ sP12 ),
inference(cnf_transformation,[],[f41]) ).
fof(f104,plain,
! [X1] :
( g(X1)
| ~ f(X1)
| ~ h(X1)
| ~ sP12 ),
inference(cnf_transformation,[],[f41]) ).
fof(f105,plain,
! [X0] :
( ~ f(X0)
| ~ g(X0)
| h(X0)
| ~ sP12 ),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
! [X6,X4,X5] :
( r(X4,X6)
| ~ r(X4,X5)
| ~ r(X5,X6)
| ~ sP11 ),
inference(cnf_transformation,[],[f44]) ).
fof(f107,plain,
! [X2,X3] :
( r(X3,X2)
| ~ r(X2,X3)
| ~ sP11 ),
inference(cnf_transformation,[],[f44]) ).
fof(f108,plain,
( r(sK24,sK25)
| ~ sP11 ),
inference(cnf_transformation,[],[f44]) ).
fof(f109,plain,
( ~ r(sK24,sK24)
| ~ sP11 ),
inference(cnf_transformation,[],[f44]) ).
fof(f110,plain,
! [X2,X3] :
( g(X2)
| ~ f(X2)
| h(X3)
| ~ f(X3)
| ~ sP10 ),
inference(cnf_transformation,[],[f46]) ).
fof(f111,plain,
( sP0
| ~ sP10 ),
inference(cnf_transformation,[],[f46]) ).
fof(f112,plain,
! [X1] :
( g(X1)
| ~ f(X1)
| ~ h(X1)
| ~ sP10 ),
inference(cnf_transformation,[],[f46]) ).
fof(f113,plain,
! [X0] :
( ~ f(X0)
| ~ g(X0)
| h(X0)
| ~ sP10 ),
inference(cnf_transformation,[],[f46]) ).
fof(f114,plain,
! [X4,X5] :
( q(X4)
| q(X5)
| ~ sP9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f117,plain,
! [X3,X5] :
( p(X3)
| p(X5)
| ~ sP9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f118,plain,
( ~ p(sK26)
| ~ q(sK27)
| ~ p(sK28)
| ~ q(sK28)
| ~ sP9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f119,plain,
( p(sK29)
| q(sK30)
| p(sK31)
| q(sK31)
| ~ sP8 ),
inference(cnf_transformation,[],[f54]) ).
fof(f120,plain,
! [X2,X1] :
( ~ q(X1)
| ~ q(X2)
| ~ sP8 ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2,X0] :
( ~ p(X0)
| ~ p(X2)
| ~ sP8 ),
inference(cnf_transformation,[],[f54]) ).
fof(f124,plain,
! [X2,X3] :
( p(X2)
| c
| p(X3)
| c
| ~ sP7 ),
inference(cnf_transformation,[],[f58]) ).
fof(f125,plain,
( ~ c
| ~ c
| ~ sP7 ),
inference(cnf_transformation,[],[f58]) ).
fof(f128,plain,
( ~ p(sK32)
| ~ p(sK33)
| ~ sP7 ),
inference(cnf_transformation,[],[f58]) ).
fof(f129,plain,
( c
| c
| ~ sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f132,plain,
( p(sK34)
| p(sK35)
| ~ sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f133,plain,
! [X0,X1] :
( ~ p(X0)
| ~ c
| ~ p(X1)
| ~ c
| ~ sP6 ),
inference(cnf_transformation,[],[f62]) ).
fof(f134,plain,
( p(sK36)
| ~ c
| p(sK37)
| ~ c
| ~ sP5 ),
inference(cnf_transformation,[],[f66]) ).
fof(f135,plain,
( c
| c
| ~ sP5 ),
inference(cnf_transformation,[],[f66]) ).
fof(f138,plain,
! [X0,X1] :
( ~ p(X0)
| ~ p(X1)
| ~ sP5 ),
inference(cnf_transformation,[],[f66]) ).
fof(f139,plain,
( c
| ~ p(sK38)
| c
| ~ p(sK39)
| ~ sP4 ),
inference(cnf_transformation,[],[f70]) ).
fof(f140,plain,
! [X0,X1] :
( p(X0)
| p(X1)
| ~ sP4 ),
inference(cnf_transformation,[],[f70]) ).
fof(f143,plain,
( ~ c
| ~ c
| ~ sP4 ),
inference(cnf_transformation,[],[f70]) ).
fof(f144,plain,
! [X2,X3] :
( p(X2)
| ~ c
| p(X3)
| ~ c
| ~ sP3 ),
inference(cnf_transformation,[],[f74]) ).
fof(f145,plain,
( c
| c
| ~ sP3 ),
inference(cnf_transformation,[],[f74]) ).
fof(f148,plain,
( ~ p(sK40)
| ~ p(sK41)
| ~ sP3 ),
inference(cnf_transformation,[],[f74]) ).
fof(f149,plain,
! [X2,X3] :
( c
| ~ p(X2)
| c
| ~ p(X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f150,plain,
( p(sK42)
| p(sK43)
| ~ sP2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f153,plain,
( ~ c
| ~ c
| ~ sP2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f154,plain,
! [X0] :
( ~ g(sK44)
| g(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f155,plain,
! [X0] :
( ~ g(sK44)
| f(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f156,plain,
! [X0] :
( ~ g(sK44)
| ~ h(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f157,plain,
! [X0] :
( f(sK44)
| g(X0)
| ~ sP1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f161,plain,
( ~ g(sK45)
| f(sK46)
| ~ sP0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f162,plain,
( ~ g(sK45)
| ~ h(sK46)
| ~ sP0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f164,plain,
( f(sK45)
| f(sK46)
| ~ sP0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f165,plain,
( f(sK45)
| ~ h(sK46)
| ~ sP0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f166,plain,
! [X3,X0,X5] :
( sP12
| sP11
| sP10
| sP16
| sP9
| sP15
| sP8
| p(X0)
| sP14
| p(X3)
| p(X5)
| sP13
| sP7
| sP6
| sP18
| sP17
| sP5
| sP4
| sP3
| sP2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f173,plain,
! [X4] :
( sP12
| sP11
| sP10
| sP16
| sP9
| sP15
| sP8
| ~ p(sK47)
| sP14
| ~ p(sK48)
| ~ p(X4)
| sP13
| sP7
| sP6
| sP18
| sP17
| sP5
| sP4
| sP3
| sP2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f174,plain,
! [X2,X3] :
( c
| ~ p(X2)
| ~ p(X3)
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f175,plain,
( ~ c
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f176,plain,
! [X2,X3] :
( p(X2)
| ~ c
| p(X3)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f177,plain,
( c
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f178,plain,
( c
| ~ p(sK38)
| ~ p(sK39)
| ~ sP4 ),
inference(duplicate_literal_removal,[],[f139]) ).
fof(f179,plain,
( ~ c
| ~ sP4 ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f180,plain,
( p(sK36)
| ~ c
| p(sK37)
| ~ sP5 ),
inference(duplicate_literal_removal,[],[f134]) ).
fof(f181,plain,
( c
| ~ sP5 ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f182,plain,
( c
| ~ sP6 ),
inference(duplicate_literal_removal,[],[f129]) ).
fof(f183,plain,
! [X0,X1] :
( ~ p(X0)
| ~ c
| ~ p(X1)
| ~ sP6 ),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f184,plain,
! [X2,X3] :
( p(X2)
| c
| p(X3)
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f185,plain,
( ~ c
| ~ sP7 ),
inference(duplicate_literal_removal,[],[f125]) ).
fof(f186,plain,
( c
| ~ sP17 ),
inference(duplicate_literal_removal,[],[f88]) ).
fof(f187,plain,
( ~ c
| ~ sP17 ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f188,plain,
( c
| ~ sP18 ),
inference(duplicate_literal_removal,[],[f86]) ).
fof(f189,plain,
( ~ c
| ~ sP18 ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f191,definition,
( spl49_1
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl49_1])],[avatar_definition]) ).
fof(f195,definition,
( spl49_2
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl49_2])],[avatar_definition]) ).
fof(f199,definition,
( spl49_3
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl49_3])],[avatar_definition]) ).
fof(f203,definition,
( spl49_4
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl49_4])],[avatar_definition]) ).
fof(f207,definition,
( spl49_5
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl49_5])],[avatar_definition]) ).
fof(f211,definition,
( spl49_6
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl49_6])],[avatar_definition]) ).
fof(f215,definition,
( spl49_7
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl49_7])],[avatar_definition]) ).
fof(f219,definition,
( spl49_8
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl49_8])],[avatar_definition]) ).
fof(f223,definition,
( spl49_9
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl49_9])],[avatar_definition]) ).
fof(f227,definition,
( spl49_10
<=> ! [X5] : p(X5) ),
introduced(definition,[new_symbols(definition,[spl49_10])],[avatar_definition]) ).
fof(f228,plain,
( ! [X5] : p(X5)
| ~ spl49_10 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,definition,
( spl49_11
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl49_11])],[avatar_definition]) ).
fof(f234,definition,
( spl49_12
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl49_12])],[avatar_definition]) ).
fof(f238,definition,
( spl49_13
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl49_13])],[avatar_definition]) ).
fof(f242,definition,
( spl49_14
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl49_14])],[avatar_definition]) ).
fof(f246,definition,
( spl49_15
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl49_15])],[avatar_definition]) ).
fof(f250,definition,
( spl49_16
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl49_16])],[avatar_definition]) ).
fof(f254,definition,
( spl49_17
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl49_17])],[avatar_definition]) ).
fof(f258,definition,
( spl49_18
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl49_18])],[avatar_definition]) ).
fof(f261,plain,
( spl49_1
| spl49_2
| spl49_3
| spl49_4
| spl49_5
| spl49_6
| spl49_7
| spl49_8
| spl49_9
| spl49_10
| spl49_10
| spl49_11
| spl49_10
| spl49_12
| spl49_13
| spl49_14
| spl49_15
| spl49_16
| spl49_17
| spl49_18 ),
inference(avatar_split_clause,[],[f166,f258,f254,f250,f246,f242,f238,f234,f227,f230,f227,f227,f223,f219,f215,f211,f207,f203,f199,f195,f191]) ).
fof(f263,definition,
( spl49_19
<=> ! [X4] : ~ p(X4) ),
introduced(definition,[new_symbols(definition,[spl49_19])],[avatar_definition]) ).
fof(f264,plain,
( ! [X4] : ~ p(X4)
| ~ spl49_19 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl49_20
<=> p(sK48) ),
introduced(definition,[new_symbols(definition,[spl49_20])],[avatar_definition]) ).
fof(f269,plain,
( ~ p(sK48)
| spl49_20 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f273,definition,
( spl49_21
<=> p(sK47) ),
introduced(definition,[new_symbols(definition,[spl49_21])],[avatar_definition]) ).
fof(f275,plain,
( ~ p(sK47)
| spl49_21 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f279,plain,
( spl49_1
| spl49_2
| spl49_3
| spl49_4
| spl49_5
| spl49_6
| spl49_7
| spl49_8
| spl49_9
| spl49_19
| ~ spl49_20
| spl49_11
| ~ spl49_21
| spl49_12
| spl49_13
| spl49_14
| spl49_15
| spl49_16
| spl49_17
| spl49_18 ),
inference(avatar_split_clause,[],[f173,f258,f254,f250,f246,f242,f238,f234,f273,f230,f267,f263,f223,f219,f215,f211,f207,f203,f199,f195,f191]) ).
fof(f281,definition,
( spl49_22
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl49_22])],[avatar_definition]) ).
fof(f289,definition,
( spl49_24
<=> g(sK45) ),
introduced(definition,[new_symbols(definition,[spl49_24])],[avatar_definition]) ).
fof(f294,definition,
( spl49_25
<=> f(sK46) ),
introduced(definition,[new_symbols(definition,[spl49_25])],[avatar_definition]) ).
fof(f296,plain,
( f(sK46)
| ~ spl49_25 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( ~ spl49_22
| spl49_25
| ~ spl49_24 ),
inference(avatar_split_clause,[],[f161,f289,f294,f281]) ).
fof(f299,definition,
( spl49_26
<=> h(sK46) ),
introduced(definition,[new_symbols(definition,[spl49_26])],[avatar_definition]) ).
fof(f301,plain,
( ~ h(sK46)
| spl49_26 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f302,plain,
( ~ spl49_22
| ~ spl49_26
| ~ spl49_24 ),
inference(avatar_split_clause,[],[f162,f289,f299,f281]) ).
fof(f304,definition,
( spl49_27
<=> f(sK45) ),
introduced(definition,[new_symbols(definition,[spl49_27])],[avatar_definition]) ).
fof(f306,plain,
( f(sK45)
| ~ spl49_27 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f308,plain,
( ~ spl49_22
| spl49_25
| spl49_27 ),
inference(avatar_split_clause,[],[f164,f304,f294,f281]) ).
fof(f309,plain,
( ~ spl49_22
| ~ spl49_26
| spl49_27 ),
inference(avatar_split_clause,[],[f165,f304,f299,f281]) ).
fof(f311,definition,
( spl49_28
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl49_28])],[avatar_definition]) ).
fof(f315,definition,
( spl49_29
<=> ! [X0] : g(X0) ),
introduced(definition,[new_symbols(definition,[spl49_29])],[avatar_definition]) ).
fof(f316,plain,
( ! [X0] : g(X0)
| ~ spl49_29 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,definition,
( spl49_30
<=> g(sK44) ),
introduced(definition,[new_symbols(definition,[spl49_30])],[avatar_definition]) ).
fof(f320,plain,
( ~ g(sK44)
| spl49_30 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f321,plain,
( ~ spl49_28
| spl49_29
| ~ spl49_30 ),
inference(avatar_split_clause,[],[f154,f318,f315,f311]) ).
fof(f323,definition,
( spl49_31
<=> ! [X0] : f(X0) ),
introduced(definition,[new_symbols(definition,[spl49_31])],[avatar_definition]) ).
fof(f324,plain,
( ! [X0] : f(X0)
| ~ spl49_31 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( ~ spl49_28
| spl49_31
| ~ spl49_30 ),
inference(avatar_split_clause,[],[f155,f318,f323,f311]) ).
fof(f327,definition,
( spl49_32
<=> ! [X0] : ~ h(X0) ),
introduced(definition,[new_symbols(definition,[spl49_32])],[avatar_definition]) ).
fof(f328,plain,
( ! [X0] : ~ h(X0)
| ~ spl49_32 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f329,plain,
( ~ spl49_28
| spl49_32
| ~ spl49_30 ),
inference(avatar_split_clause,[],[f156,f318,f327,f311]) ).
fof(f331,definition,
( spl49_33
<=> f(sK44) ),
introduced(definition,[new_symbols(definition,[spl49_33])],[avatar_definition]) ).
fof(f333,plain,
( f(sK44)
| ~ spl49_33 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f334,plain,
( ~ spl49_28
| spl49_29
| spl49_33 ),
inference(avatar_split_clause,[],[f157,f331,f315,f311]) ).
fof(f338,definition,
( spl49_34
<=> c ),
introduced(definition,[new_symbols(definition,[spl49_34])],[avatar_definition]) ).
fof(f341,plain,
( ~ spl49_1
| spl49_19
| spl49_19
| spl49_34 ),
inference(avatar_split_clause,[],[f174,f338,f263,f263,f191]) ).
fof(f343,definition,
( spl49_35
<=> p(sK43) ),
introduced(definition,[new_symbols(definition,[spl49_35])],[avatar_definition]) ).
fof(f345,plain,
( p(sK43)
| ~ spl49_35 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f347,definition,
( spl49_36
<=> p(sK42) ),
introduced(definition,[new_symbols(definition,[spl49_36])],[avatar_definition]) ).
fof(f349,plain,
( p(sK42)
| ~ spl49_36 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f350,plain,
( ~ spl49_1
| spl49_35
| spl49_36 ),
inference(avatar_split_clause,[],[f150,f347,f343,f191]) ).
fof(f353,plain,
( ~ spl49_1
| ~ spl49_34 ),
inference(avatar_split_clause,[],[f175,f338,f191]) ).
fof(f354,plain,
( ~ spl49_2
| spl49_10
| ~ spl49_34
| spl49_10 ),
inference(avatar_split_clause,[],[f176,f227,f338,f227,f195]) ).
fof(f355,plain,
( ~ spl49_2
| spl49_34 ),
inference(avatar_split_clause,[],[f177,f338,f195]) ).
fof(f357,definition,
( spl49_37
<=> p(sK41) ),
introduced(definition,[new_symbols(definition,[spl49_37])],[avatar_definition]) ).
fof(f359,plain,
( ~ p(sK41)
| spl49_37 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f362,definition,
( spl49_38
<=> p(sK40) ),
introduced(definition,[new_symbols(definition,[spl49_38])],[avatar_definition]) ).
fof(f364,plain,
( ~ p(sK40)
| spl49_38 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f366,plain,
( ~ spl49_2
| ~ spl49_37
| ~ spl49_38 ),
inference(avatar_split_clause,[],[f148,f362,f357,f195]) ).
fof(f368,definition,
( spl49_39
<=> p(sK39) ),
introduced(definition,[new_symbols(definition,[spl49_39])],[avatar_definition]) ).
fof(f370,plain,
( ~ p(sK39)
| spl49_39 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f372,definition,
( spl49_40
<=> p(sK38) ),
introduced(definition,[new_symbols(definition,[spl49_40])],[avatar_definition]) ).
fof(f374,plain,
( ~ p(sK38)
| spl49_40 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f375,plain,
( ~ spl49_3
| ~ spl49_39
| ~ spl49_40
| spl49_34 ),
inference(avatar_split_clause,[],[f178,f338,f372,f368,f199]) ).
fof(f376,plain,
( ~ spl49_3
| spl49_10
| spl49_10 ),
inference(avatar_split_clause,[],[f140,f227,f227,f199]) ).
fof(f379,plain,
( ~ spl49_3
| ~ spl49_34 ),
inference(avatar_split_clause,[],[f179,f338,f199]) ).
fof(f381,definition,
( spl49_41
<=> p(sK37) ),
introduced(definition,[new_symbols(definition,[spl49_41])],[avatar_definition]) ).
fof(f383,plain,
( p(sK37)
| ~ spl49_41 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,definition,
( spl49_42
<=> p(sK36) ),
introduced(definition,[new_symbols(definition,[spl49_42])],[avatar_definition]) ).
fof(f387,plain,
( p(sK36)
| ~ spl49_42 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( ~ spl49_4
| spl49_41
| ~ spl49_34
| spl49_42 ),
inference(avatar_split_clause,[],[f180,f385,f338,f381,f203]) ).
fof(f389,plain,
( ~ spl49_4
| spl49_34 ),
inference(avatar_split_clause,[],[f181,f338,f203]) ).
fof(f392,plain,
( ~ spl49_4
| spl49_19
| spl49_19 ),
inference(avatar_split_clause,[],[f138,f263,f263,f203]) ).
fof(f393,plain,
( ~ spl49_7
| spl49_34 ),
inference(avatar_split_clause,[],[f182,f338,f215]) ).
fof(f395,definition,
( spl49_43
<=> p(sK35) ),
introduced(definition,[new_symbols(definition,[spl49_43])],[avatar_definition]) ).
fof(f397,plain,
( p(sK35)
| ~ spl49_43 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f400,definition,
( spl49_44
<=> p(sK34) ),
introduced(definition,[new_symbols(definition,[spl49_44])],[avatar_definition]) ).
fof(f402,plain,
( p(sK34)
| ~ spl49_44 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f404,plain,
( ~ spl49_7
| spl49_43
| spl49_44 ),
inference(avatar_split_clause,[],[f132,f400,f395,f215]) ).
fof(f405,plain,
( ~ spl49_7
| spl49_19
| ~ spl49_34
| spl49_19 ),
inference(avatar_split_clause,[],[f183,f263,f338,f263,f215]) ).
fof(f406,plain,
( ~ spl49_8
| spl49_10
| spl49_34
| spl49_10 ),
inference(avatar_split_clause,[],[f184,f227,f338,f227,f219]) ).
fof(f407,plain,
( ~ spl49_8
| ~ spl49_34 ),
inference(avatar_split_clause,[],[f185,f338,f219]) ).
fof(f409,definition,
( spl49_45
<=> p(sK33) ),
introduced(definition,[new_symbols(definition,[spl49_45])],[avatar_definition]) ).
fof(f411,plain,
( ~ p(sK33)
| spl49_45 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f414,definition,
( spl49_46
<=> p(sK32) ),
introduced(definition,[new_symbols(definition,[spl49_46])],[avatar_definition]) ).
fof(f416,plain,
( ~ p(sK32)
| spl49_46 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f418,plain,
( ~ spl49_8
| ~ spl49_45
| ~ spl49_46 ),
inference(avatar_split_clause,[],[f128,f414,f409,f219]) ).
fof(f420,definition,
( spl49_47
<=> q(sK31) ),
introduced(definition,[new_symbols(definition,[spl49_47])],[avatar_definition]) ).
fof(f422,plain,
( q(sK31)
| ~ spl49_47 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl49_48
<=> p(sK31) ),
introduced(definition,[new_symbols(definition,[spl49_48])],[avatar_definition]) ).
fof(f426,plain,
( p(sK31)
| ~ spl49_48 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f428,definition,
( spl49_49
<=> q(sK30) ),
introduced(definition,[new_symbols(definition,[spl49_49])],[avatar_definition]) ).
fof(f430,plain,
( q(sK30)
| ~ spl49_49 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f432,definition,
( spl49_50
<=> p(sK29) ),
introduced(definition,[new_symbols(definition,[spl49_50])],[avatar_definition]) ).
fof(f434,plain,
( p(sK29)
| ~ spl49_50 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f435,plain,
( ~ spl49_12
| spl49_47
| spl49_48
| spl49_49
| spl49_50 ),
inference(avatar_split_clause,[],[f119,f432,f428,f424,f420,f234]) ).
fof(f437,definition,
( spl49_51
<=> ! [X2] : ~ q(X2) ),
introduced(definition,[new_symbols(definition,[spl49_51])],[avatar_definition]) ).
fof(f438,plain,
( ! [X2] : ~ q(X2)
| ~ spl49_51 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f439,plain,
( ~ spl49_12
| spl49_51
| spl49_51 ),
inference(avatar_split_clause,[],[f120,f437,f437,f234]) ).
fof(f442,plain,
( ~ spl49_12
| spl49_19
| spl49_19 ),
inference(avatar_split_clause,[],[f123,f263,f263,f234]) ).
fof(f444,definition,
( spl49_52
<=> ! [X5] : q(X5) ),
introduced(definition,[new_symbols(definition,[spl49_52])],[avatar_definition]) ).
fof(f445,plain,
( ! [X5] : q(X5)
| ~ spl49_52 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( ~ spl49_14
| spl49_52
| spl49_52 ),
inference(avatar_split_clause,[],[f114,f444,f444,f242]) ).
fof(f449,plain,
( ~ spl49_14
| spl49_10
| spl49_10 ),
inference(avatar_split_clause,[],[f117,f227,f227,f242]) ).
fof(f451,definition,
( spl49_53
<=> q(sK28) ),
introduced(definition,[new_symbols(definition,[spl49_53])],[avatar_definition]) ).
fof(f453,plain,
( ~ q(sK28)
| spl49_53 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl49_54
<=> p(sK28) ),
introduced(definition,[new_symbols(definition,[spl49_54])],[avatar_definition]) ).
fof(f457,plain,
( ~ p(sK28)
| spl49_54 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f459,definition,
( spl49_55
<=> q(sK27) ),
introduced(definition,[new_symbols(definition,[spl49_55])],[avatar_definition]) ).
fof(f461,plain,
( ~ q(sK27)
| spl49_55 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f463,definition,
( spl49_56
<=> p(sK26) ),
introduced(definition,[new_symbols(definition,[spl49_56])],[avatar_definition]) ).
fof(f465,plain,
( ~ p(sK26)
| spl49_56 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,plain,
( ~ spl49_14
| ~ spl49_53
| ~ spl49_54
| ~ spl49_55
| ~ spl49_56 ),
inference(avatar_split_clause,[],[f118,f463,f459,f455,f451,f242]) ).
fof(f468,definition,
( spl49_57
<=> ! [X3] :
( h(X3)
| ~ f(X3) ) ),
introduced(definition,[new_symbols(definition,[spl49_57])],[avatar_definition]) ).
fof(f469,plain,
( ! [X3] :
( ~ f(X3)
| h(X3) )
| ~ spl49_57 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f471,definition,
( spl49_58
<=> ! [X2] :
( g(X2)
| ~ f(X2) ) ),
introduced(definition,[new_symbols(definition,[spl49_58])],[avatar_definition]) ).
fof(f472,plain,
( ! [X2] :
( ~ f(X2)
| g(X2) )
| ~ spl49_58 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( ~ spl49_16
| spl49_57
| spl49_58 ),
inference(avatar_split_clause,[],[f110,f471,f468,f250]) ).
fof(f474,plain,
( ~ spl49_16
| spl49_22 ),
inference(avatar_split_clause,[],[f111,f281,f250]) ).
fof(f476,definition,
( spl49_59
<=> ! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1) ) ),
introduced(definition,[new_symbols(definition,[spl49_59])],[avatar_definition]) ).
fof(f477,plain,
( ! [X1] :
( g(X1)
| ~ h(X1)
| ~ f(X1) )
| ~ spl49_59 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( ~ spl49_16
| spl49_59 ),
inference(avatar_split_clause,[],[f112,f476,f250]) ).
fof(f480,definition,
( spl49_60
<=> ! [X0] :
( ~ f(X0)
| h(X0)
| ~ g(X0) ) ),
introduced(definition,[new_symbols(definition,[spl49_60])],[avatar_definition]) ).
fof(f481,plain,
( ! [X0] :
( ~ f(X0)
| h(X0)
| ~ g(X0) )
| ~ spl49_60 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( ~ spl49_16
| spl49_60 ),
inference(avatar_split_clause,[],[f113,f480,f250]) ).
fof(f484,definition,
( spl49_61
<=> ! [X6,X4,X5] :
( r(X4,X6)
| ~ r(X5,X6)
| ~ r(X4,X5) ) ),
introduced(definition,[new_symbols(definition,[spl49_61])],[avatar_definition]) ).
fof(f485,plain,
( ! [X6,X4,X5] :
( ~ r(X5,X6)
| r(X4,X6)
| ~ r(X4,X5) )
| ~ spl49_61 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( ~ spl49_17
| spl49_61 ),
inference(avatar_split_clause,[],[f106,f484,f254]) ).
fof(f488,definition,
( spl49_62
<=> ! [X2,X3] :
( r(X3,X2)
| ~ r(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl49_62])],[avatar_definition]) ).
fof(f489,plain,
( ! [X2,X3] :
( ~ r(X2,X3)
| r(X3,X2) )
| ~ spl49_62 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( ~ spl49_17
| spl49_62 ),
inference(avatar_split_clause,[],[f107,f488,f254]) ).
fof(f492,definition,
( spl49_63
<=> r(sK24,sK25) ),
introduced(definition,[new_symbols(definition,[spl49_63])],[avatar_definition]) ).
fof(f494,plain,
( r(sK24,sK25)
| ~ spl49_63 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f495,plain,
( ~ spl49_17
| spl49_63 ),
inference(avatar_split_clause,[],[f108,f492,f254]) ).
fof(f497,definition,
( spl49_64
<=> r(sK24,sK24) ),
introduced(definition,[new_symbols(definition,[spl49_64])],[avatar_definition]) ).
fof(f500,plain,
( ~ spl49_17
| ~ spl49_64 ),
inference(avatar_split_clause,[],[f109,f497,f254]) ).
fof(f501,plain,
( ~ spl49_18
| spl49_57
| spl49_58 ),
inference(avatar_split_clause,[],[f102,f471,f468,f258]) ).
fof(f502,plain,
( ~ spl49_18
| spl49_28 ),
inference(avatar_split_clause,[],[f103,f311,f258]) ).
fof(f503,plain,
( ~ spl49_18
| spl49_59 ),
inference(avatar_split_clause,[],[f104,f476,f258]) ).
fof(f504,plain,
( ~ spl49_18
| spl49_60 ),
inference(avatar_split_clause,[],[f105,f480,f258]) ).
fof(f505,plain,
( ~ spl49_9
| spl49_19 ),
inference(avatar_split_clause,[],[f99,f263,f223]) ).
fof(f507,definition,
( spl49_65
<=> p(sK23) ),
introduced(definition,[new_symbols(definition,[spl49_65])],[avatar_definition]) ).
fof(f509,plain,
( p(sK23)
| ~ spl49_65 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,plain,
( ~ spl49_9
| spl49_65 ),
inference(avatar_split_clause,[],[f100,f507,f223]) ).
fof(f517,definition,
( spl49_67
<=> q(sK21) ),
introduced(definition,[new_symbols(definition,[spl49_67])],[avatar_definition]) ).
fof(f519,plain,
( q(sK21)
| ~ spl49_67 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f520,plain,
( ~ spl49_11
| spl49_67 ),
inference(avatar_split_clause,[],[f96,f517,f230]) ).
fof(f522,definition,
( spl49_68
<=> p(sK21) ),
introduced(definition,[new_symbols(definition,[spl49_68])],[avatar_definition]) ).
fof(f524,plain,
( p(sK21)
| ~ spl49_68 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f525,plain,
( ~ spl49_11
| spl49_68 ),
inference(avatar_split_clause,[],[f97,f522,f230]) ).
fof(f526,plain,
( ~ spl49_11
| spl49_51
| spl49_19 ),
inference(avatar_split_clause,[],[f98,f263,f437,f230]) ).
fof(f527,plain,
( ~ spl49_13
| spl49_52
| spl49_10 ),
inference(avatar_split_clause,[],[f93,f227,f444,f238]) ).
fof(f529,definition,
( spl49_69
<=> q(sK20) ),
introduced(definition,[new_symbols(definition,[spl49_69])],[avatar_definition]) ).
fof(f531,plain,
( ~ q(sK20)
| spl49_69 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,plain,
( ~ spl49_13
| ~ spl49_69 ),
inference(avatar_split_clause,[],[f94,f529,f238]) ).
fof(f534,definition,
( spl49_70
<=> p(sK20) ),
introduced(definition,[new_symbols(definition,[spl49_70])],[avatar_definition]) ).
fof(f536,plain,
( ~ p(sK20)
| spl49_70 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f537,plain,
( ~ spl49_13
| ~ spl49_70 ),
inference(avatar_split_clause,[],[f95,f534,f238]) ).
fof(f539,definition,
( spl49_71
<=> ! [X0] :
( q(X0)
| ~ p(sK19(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl49_71])],[avatar_definition]) ).
fof(f540,plain,
( ! [X0] :
( q(X0)
| ~ p(sK19(X0)) )
| ~ spl49_71 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f541,plain,
( ~ spl49_15
| spl49_71 ),
inference(avatar_split_clause,[],[f90,f539,f246]) ).
fof(f542,plain,
( ~ spl49_15
| spl49_10 ),
inference(avatar_split_clause,[],[f91,f227,f246]) ).
fof(f543,plain,
( ~ spl49_15
| spl49_51 ),
inference(avatar_split_clause,[],[f92,f437,f246]) ).
fof(f544,plain,
( ~ spl49_5
| spl49_34 ),
inference(avatar_split_clause,[],[f186,f338,f207]) ).
fof(f545,plain,
( ~ spl49_5
| ~ spl49_34 ),
inference(avatar_split_clause,[],[f187,f338,f207]) ).
fof(f546,plain,
( ~ spl49_6
| spl49_34 ),
inference(avatar_split_clause,[],[f188,f338,f211]) ).
fof(f547,plain,
( ~ spl49_6
| ~ spl49_34 ),
inference(avatar_split_clause,[],[f189,f338,f211]) ).
fof(f548,plain,
( $false
| ~ spl49_10
| spl49_20 ),
inference(forward_subsumption_resolution,[],[f269,f228]) ).
fof(f549,plain,
( ~ spl49_10
| spl49_20 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f550,plain,
( $false
| ~ spl49_10
| spl49_21 ),
inference(forward_subsumption_resolution,[],[f275,f228]) ).
fof(f551,plain,
( ~ spl49_10
| spl49_21 ),
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f552,plain,
( $false
| ~ spl49_10
| ~ spl49_19 ),
inference(forward_subsumption_resolution,[],[f264,f228]) ).
fof(f553,plain,
( ~ spl49_10
| ~ spl49_19 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f554,plain,
( $false
| ~ spl49_10
| spl49_40 ),
inference(forward_subsumption_resolution,[],[f374,f228]) ).
fof(f555,plain,
( ~ spl49_10
| spl49_40 ),
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f556,plain,
( $false
| ~ spl49_10
| spl49_46 ),
inference(forward_subsumption_resolution,[],[f416,f228]) ).
fof(f557,plain,
( ~ spl49_10
| spl49_46 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f558,plain,
( r(sK25,sK24)
| ~ spl49_62
| ~ spl49_63 ),
inference(resolution,[],[f489,f494]) ).
fof(f561,plain,
( ! [X0] :
( ~ r(X0,sK25)
| r(X0,sK24) )
| ~ spl49_61
| ~ spl49_62
| ~ spl49_63 ),
inference(resolution,[],[f485,f558]) ).
fof(f565,plain,
( r(sK24,sK24)
| ~ spl49_61
| ~ spl49_62
| ~ spl49_63 ),
inference(resolution,[],[f561,f494]) ).
fof(f569,plain,
( ! [X0] : q(X0)
| ~ spl49_10
| ~ spl49_71 ),
inference(forward_subsumption_resolution,[],[f540,f228]) ).
fof(f570,plain,
( spl49_64
| ~ spl49_61
| ~ spl49_62
| ~ spl49_63 ),
inference(avatar_split_clause,[],[f565,f492,f488,f484,f497]) ).
fof(f571,plain,
( spl49_52
| ~ spl49_10
| ~ spl49_71 ),
inference(avatar_split_clause,[],[f569,f539,f227,f444]) ).
fof(f572,plain,
( $false
| ~ spl49_51
| ~ spl49_52 ),
inference(forward_subsumption_resolution,[],[f445,f438]) ).
fof(f573,plain,
( ~ spl49_51
| ~ spl49_52 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f574,plain,
( $false
| ~ spl49_10
| spl49_45 ),
inference(forward_subsumption_resolution,[],[f411,f228]) ).
fof(f575,plain,
( ~ spl49_10
| spl49_45 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f576,plain,
( $false
| ~ spl49_29
| spl49_30 ),
inference(forward_subsumption_resolution,[],[f320,f316]) ).
fof(f577,plain,
( ~ spl49_29
| spl49_30 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f583,plain,
( g(sK44)
| ~ spl49_33
| ~ spl49_58 ),
inference(resolution,[],[f472,f333]) ).
fof(f590,plain,
( ! [X1] :
( g(X1)
| ~ f(X1) )
| ~ spl49_57
| ~ spl49_59 ),
inference(forward_subsumption_resolution,[],[f477,f469]) ).
fof(f591,plain,
( spl49_58
| ~ spl49_57
| ~ spl49_59 ),
inference(avatar_split_clause,[],[f590,f476,f468,f471]) ).
fof(f592,plain,
( spl49_30
| ~ spl49_33
| ~ spl49_58 ),
inference(avatar_split_clause,[],[f583,f471,f331,f318]) ).
fof(f593,plain,
( ! [X0] :
( h(X0)
| ~ g(X0) )
| ~ spl49_31
| ~ spl49_60 ),
inference(forward_subsumption_resolution,[],[f481,f324]) ).
fof(f594,plain,
( ! [X0] : ~ g(X0)
| ~ spl49_31
| ~ spl49_32
| ~ spl49_60 ),
inference(forward_subsumption_resolution,[],[f593,f328]) ).
fof(f595,plain,
( $false
| ~ spl49_29
| ~ spl49_31
| ~ spl49_32
| ~ spl49_60 ),
inference(forward_subsumption_resolution,[],[f594,f316]) ).
fof(f596,plain,
( ~ spl49_29
| ~ spl49_31
| ~ spl49_32
| ~ spl49_60 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f597,plain,
( $false
| ~ spl49_10
| spl49_39 ),
inference(forward_subsumption_resolution,[],[f370,f228]) ).
fof(f598,plain,
( ~ spl49_10
| spl49_39 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f599,plain,
( $false
| ~ spl49_10
| spl49_56 ),
inference(forward_subsumption_resolution,[],[f465,f228]) ).
fof(f600,plain,
( ~ spl49_10
| spl49_56 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f601,plain,
( $false
| ~ spl49_52
| spl49_53 ),
inference(forward_subsumption_resolution,[],[f453,f445]) ).
fof(f602,plain,
( ~ spl49_52
| spl49_53 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f603,plain,
( $false
| ~ spl49_52
| spl49_55 ),
inference(forward_subsumption_resolution,[],[f461,f445]) ).
fof(f604,plain,
( ~ spl49_52
| spl49_55 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f605,plain,
( $false
| ~ spl49_10
| spl49_54 ),
inference(forward_subsumption_resolution,[],[f457,f228]) ).
fof(f606,plain,
( ~ spl49_10
| spl49_54 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f607,plain,
( $false
| ~ spl49_52
| spl49_69 ),
inference(forward_subsumption_resolution,[],[f531,f445]) ).
fof(f608,plain,
( ~ spl49_52
| spl49_69 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f609,plain,
( $false
| ~ spl49_10
| spl49_70 ),
inference(forward_subsumption_resolution,[],[f536,f228]) ).
fof(f610,plain,
( ~ spl49_10
| spl49_70 ),
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f611,plain,
( $false
| ~ spl49_10
| spl49_38 ),
inference(forward_subsumption_resolution,[],[f364,f228]) ).
fof(f612,plain,
( ~ spl49_10
| spl49_38 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f613,plain,
( $false
| ~ spl49_10
| spl49_37 ),
inference(forward_subsumption_resolution,[],[f359,f228]) ).
fof(f614,plain,
( ~ spl49_10
| spl49_37 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f625,plain,
( h(sK46)
| ~ spl49_25
| ~ spl49_57 ),
inference(resolution,[],[f469,f296]) ).
fof(f627,plain,
( $false
| ~ spl49_25
| spl49_26
| ~ spl49_57 ),
inference(forward_subsumption_resolution,[],[f625,f301]) ).
fof(f628,plain,
( ~ spl49_25
| spl49_26
| ~ spl49_57 ),
inference(avatar_contradiction_clause,[],[f627]) ).
fof(f633,plain,
( $false
| ~ spl49_51
| ~ spl49_67 ),
inference(forward_subsumption_resolution,[],[f519,f438]) ).
fof(f634,plain,
( ~ spl49_51
| ~ spl49_67 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f638,plain,
( g(sK45)
| ~ spl49_27
| ~ spl49_58 ),
inference(resolution,[],[f472,f306]) ).
fof(f640,plain,
( ! [X0] :
( ~ f(X0)
| h(X0) )
| ~ spl49_58
| ~ spl49_60 ),
inference(forward_subsumption_resolution,[],[f481,f472]) ).
fof(f641,plain,
( spl49_57
| ~ spl49_58
| ~ spl49_60 ),
inference(avatar_split_clause,[],[f640,f480,f471,f468]) ).
fof(f642,plain,
( spl49_24
| ~ spl49_27
| ~ spl49_58 ),
inference(avatar_split_clause,[],[f638,f471,f304,f289]) ).
fof(f656,plain,
( $false
| ~ spl49_19
| ~ spl49_42 ),
inference(forward_subsumption_resolution,[],[f387,f264]) ).
fof(f657,plain,
( ~ spl49_19
| ~ spl49_42 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f658,plain,
( $false
| ~ spl49_19
| ~ spl49_41 ),
inference(forward_subsumption_resolution,[],[f383,f264]) ).
fof(f659,plain,
( ~ spl49_19
| ~ spl49_41 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f660,plain,
( $false
| ~ spl49_19
| ~ spl49_43 ),
inference(forward_subsumption_resolution,[],[f397,f264]) ).
fof(f661,plain,
( ~ spl49_19
| ~ spl49_43 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f662,plain,
( $false
| ~ spl49_19
| ~ spl49_44 ),
inference(forward_subsumption_resolution,[],[f402,f264]) ).
fof(f663,plain,
( ~ spl49_19
| ~ spl49_44 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f664,plain,
( $false
| ~ spl49_19
| ~ spl49_65 ),
inference(forward_subsumption_resolution,[],[f509,f264]) ).
fof(f665,plain,
( ~ spl49_19
| ~ spl49_65 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f670,plain,
( $false
| ~ spl49_49
| ~ spl49_51 ),
inference(resolution,[],[f438,f430]) ).
fof(f671,plain,
( ~ spl49_49
| ~ spl49_51 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f672,plain,
( $false
| ~ spl49_19
| ~ spl49_48 ),
inference(forward_subsumption_resolution,[],[f426,f264]) ).
fof(f673,plain,
( ~ spl49_19
| ~ spl49_48 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f674,plain,
( $false
| ~ spl49_47
| ~ spl49_51 ),
inference(forward_subsumption_resolution,[],[f422,f438]) ).
fof(f675,plain,
( ~ spl49_47
| ~ spl49_51 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f676,plain,
( $false
| ~ spl49_19
| ~ spl49_50 ),
inference(forward_subsumption_resolution,[],[f434,f264]) ).
fof(f677,plain,
( ~ spl49_19
| ~ spl49_50 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f678,plain,
( $false
| ~ spl49_19
| ~ spl49_36 ),
inference(forward_subsumption_resolution,[],[f349,f264]) ).
fof(f679,plain,
( ~ spl49_19
| ~ spl49_36 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f680,plain,
( $false
| ~ spl49_19
| ~ spl49_35 ),
inference(forward_subsumption_resolution,[],[f345,f264]) ).
fof(f681,plain,
( ~ spl49_19
| ~ spl49_35 ),
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f686,plain,
( $false
| ~ spl49_19
| ~ spl49_68 ),
inference(forward_subsumption_resolution,[],[f524,f264]) ).
fof(f687,plain,
( ~ spl49_19
| ~ spl49_68 ),
inference(avatar_contradiction_clause,[],[f686]) ).
cnf(s1,plain,
( spl49_10
| spl49_10
| spl49_3
| spl49_4
| spl49_5
| spl49_6
| spl49_7
| spl49_8
| spl49_9
| spl49_1
| spl49_2
| spl49_10
| spl49_11
| spl49_12
| spl49_13
| spl49_14
| spl49_15
| spl49_16
| spl49_17
| spl49_18 ),
inference(sat_conversion,[],[f261]) ).
cnf(s2,plain,
( spl49_1
| spl49_2
| spl49_3
| spl49_4
| spl49_5
| spl49_6
| spl49_7
| spl49_8
| spl49_9
| spl49_10
| spl49_11
| spl49_12
| spl49_13
| spl49_14
| spl49_15
| spl49_16
| spl49_17
| spl49_18 ),
inference(rat,[],[s1]) ).
cnf(s12,plain,
( spl49_1
| spl49_2
| spl49_3
| spl49_4
| spl49_5
| spl49_6
| spl49_7
| spl49_8
| spl49_9
| spl49_11
| spl49_12
| spl49_13
| spl49_14
| spl49_15
| spl49_16
| spl49_17
| spl49_18
| spl49_19
| ~ spl49_20
| ~ spl49_21 ),
inference(sat_conversion,[],[f279]) ).
cnf(s14,plain,
( ~ spl49_22
| ~ spl49_24
| spl49_25 ),
inference(sat_conversion,[],[f297]) ).
cnf(s15,plain,
( ~ spl49_22
| ~ spl49_24
| ~ spl49_26 ),
inference(sat_conversion,[],[f302]) ).
cnf(s17,plain,
( ~ spl49_22
| spl49_25
| spl49_27 ),
inference(sat_conversion,[],[f308]) ).
cnf(s18,plain,
( ~ spl49_22
| ~ spl49_26
| spl49_27 ),
inference(sat_conversion,[],[f309]) ).
cnf(s19,plain,
( ~ spl49_28
| spl49_29
| ~ spl49_30 ),
inference(sat_conversion,[],[f321]) ).
cnf(s20,plain,
( ~ spl49_28
| ~ spl49_30
| spl49_31 ),
inference(sat_conversion,[],[f325]) ).
cnf(s21,plain,
( ~ spl49_28
| ~ spl49_30
| spl49_32 ),
inference(sat_conversion,[],[f329]) ).
cnf(s22,plain,
( ~ spl49_28
| spl49_29
| spl49_33 ),
inference(sat_conversion,[],[f334]) ).
cnf(s25,plain,
( spl49_19
| ~ spl49_1
| spl49_19
| spl49_34 ),
inference(sat_conversion,[],[f341]) ).
cnf(s26,plain,
( ~ spl49_1
| spl49_19
| spl49_34 ),
inference(rat,[],[s25]) ).
cnf(s27,plain,
( ~ spl49_1
| spl49_35
| spl49_36 ),
inference(sat_conversion,[],[f350]) ).
cnf(s30,plain,
( ~ spl49_1
| ~ spl49_34 ),
inference(sat_conversion,[],[f353]) ).
cnf(s31,plain,
( spl49_10
| ~ spl49_2
| spl49_10
| ~ spl49_34 ),
inference(sat_conversion,[],[f354]) ).
cnf(s32,plain,
( ~ spl49_2
| spl49_10
| ~ spl49_34 ),
inference(rat,[],[s31]) ).
cnf(s33,plain,
( ~ spl49_2
| spl49_34 ),
inference(sat_conversion,[],[f355]) ).
cnf(s36,plain,
( ~ spl49_2
| ~ spl49_37
| ~ spl49_38 ),
inference(sat_conversion,[],[f366]) ).
cnf(s37,plain,
( ~ spl49_3
| spl49_34
| ~ spl49_39
| ~ spl49_40 ),
inference(sat_conversion,[],[f375]) ).
cnf(s38,plain,
( spl49_10
| ~ spl49_3
| spl49_10 ),
inference(sat_conversion,[],[f376]) ).
cnf(s39,plain,
( ~ spl49_3
| spl49_10 ),
inference(rat,[],[s38]) ).
cnf(s42,plain,
( ~ spl49_3
| ~ spl49_34 ),
inference(sat_conversion,[],[f379]) ).
cnf(s43,plain,
( ~ spl49_4
| ~ spl49_34
| spl49_41
| spl49_42 ),
inference(sat_conversion,[],[f388]) ).
cnf(s44,plain,
( ~ spl49_4
| spl49_34 ),
inference(sat_conversion,[],[f389]) ).
cnf(s47,plain,
( spl49_19
| ~ spl49_4
| spl49_19 ),
inference(sat_conversion,[],[f392]) ).
cnf(s48,plain,
( ~ spl49_4
| spl49_19 ),
inference(rat,[],[s47]) ).
cnf(s49,plain,
( ~ spl49_7
| spl49_34 ),
inference(sat_conversion,[],[f393]) ).
cnf(s52,plain,
( ~ spl49_7
| spl49_43
| spl49_44 ),
inference(sat_conversion,[],[f404]) ).
cnf(s53,plain,
( spl49_19
| ~ spl49_7
| spl49_19
| ~ spl49_34 ),
inference(sat_conversion,[],[f405]) ).
cnf(s54,plain,
( ~ spl49_7
| spl49_19
| ~ spl49_34 ),
inference(rat,[],[s53]) ).
cnf(s55,plain,
( spl49_10
| ~ spl49_8
| spl49_10
| spl49_34 ),
inference(sat_conversion,[],[f406]) ).
cnf(s56,plain,
( ~ spl49_8
| spl49_10
| spl49_34 ),
inference(rat,[],[s55]) ).
cnf(s57,plain,
( ~ spl49_8
| ~ spl49_34 ),
inference(sat_conversion,[],[f407]) ).
cnf(s60,plain,
( ~ spl49_8
| ~ spl49_45
| ~ spl49_46 ),
inference(sat_conversion,[],[f418]) ).
cnf(s61,plain,
( ~ spl49_12
| spl49_47
| spl49_48
| spl49_49
| spl49_50 ),
inference(sat_conversion,[],[f435]) ).
cnf(s62,plain,
( spl49_51
| ~ spl49_12
| spl49_51 ),
inference(sat_conversion,[],[f439]) ).
cnf(s63,plain,
( ~ spl49_12
| spl49_51 ),
inference(rat,[],[s62]) ).
cnf(s66,plain,
( spl49_19
| ~ spl49_12
| spl49_19 ),
inference(sat_conversion,[],[f442]) ).
cnf(s67,plain,
( ~ spl49_12
| spl49_19 ),
inference(rat,[],[s66]) ).
cnf(s68,plain,
( spl49_52
| ~ spl49_14
| spl49_52 ),
inference(sat_conversion,[],[f446]) ).
cnf(s69,plain,
( ~ spl49_14
| spl49_52 ),
inference(rat,[],[s68]) ).
cnf(s72,plain,
( spl49_10
| spl49_10
| ~ spl49_14 ),
inference(sat_conversion,[],[f449]) ).
cnf(s73,plain,
( spl49_10
| ~ spl49_14 ),
inference(rat,[],[s72]) ).
cnf(s74,plain,
( ~ spl49_14
| ~ spl49_53
| ~ spl49_54
| ~ spl49_55
| ~ spl49_56 ),
inference(sat_conversion,[],[f466]) ).
cnf(s75,plain,
( ~ spl49_16
| spl49_57
| spl49_58 ),
inference(sat_conversion,[],[f473]) ).
cnf(s76,plain,
( ~ spl49_16
| spl49_22 ),
inference(sat_conversion,[],[f474]) ).
cnf(s77,plain,
( ~ spl49_16
| spl49_59 ),
inference(sat_conversion,[],[f478]) ).
cnf(s78,plain,
( ~ spl49_16
| spl49_60 ),
inference(sat_conversion,[],[f482]) ).
cnf(s79,plain,
( ~ spl49_17
| spl49_61 ),
inference(sat_conversion,[],[f486]) ).
cnf(s80,plain,
( ~ spl49_17
| spl49_62 ),
inference(sat_conversion,[],[f490]) ).
cnf(s81,plain,
( ~ spl49_17
| spl49_63 ),
inference(sat_conversion,[],[f495]) ).
cnf(s82,plain,
( ~ spl49_17
| ~ spl49_64 ),
inference(sat_conversion,[],[f500]) ).
cnf(s83,plain,
( ~ spl49_18
| spl49_57
| spl49_58 ),
inference(sat_conversion,[],[f501]) ).
cnf(s84,plain,
( ~ spl49_18
| spl49_28 ),
inference(sat_conversion,[],[f502]) ).
cnf(s85,plain,
( ~ spl49_18
| spl49_59 ),
inference(sat_conversion,[],[f503]) ).
cnf(s86,plain,
( ~ spl49_18
| spl49_60 ),
inference(sat_conversion,[],[f504]) ).
cnf(s87,plain,
( ~ spl49_9
| spl49_19 ),
inference(sat_conversion,[],[f505]) ).
cnf(s88,plain,
( ~ spl49_9
| spl49_65 ),
inference(sat_conversion,[],[f510]) ).
cnf(s90,plain,
( ~ spl49_11
| spl49_67 ),
inference(sat_conversion,[],[f520]) ).
cnf(s91,plain,
( ~ spl49_11
| spl49_68 ),
inference(sat_conversion,[],[f525]) ).
cnf(s92,plain,
( ~ spl49_11
| spl49_19
| spl49_51 ),
inference(sat_conversion,[],[f526]) ).
cnf(s93,plain,
( spl49_10
| ~ spl49_13
| spl49_52 ),
inference(sat_conversion,[],[f527]) ).
cnf(s94,plain,
( ~ spl49_13
| ~ spl49_69 ),
inference(sat_conversion,[],[f532]) ).
cnf(s95,plain,
( ~ spl49_13
| ~ spl49_70 ),
inference(sat_conversion,[],[f537]) ).
cnf(s96,plain,
( ~ spl49_15
| spl49_71 ),
inference(sat_conversion,[],[f541]) ).
cnf(s97,plain,
( spl49_10
| ~ spl49_15 ),
inference(sat_conversion,[],[f542]) ).
cnf(s98,plain,
( ~ spl49_15
| spl49_51 ),
inference(sat_conversion,[],[f543]) ).
cnf(s99,plain,
( ~ spl49_5
| spl49_34 ),
inference(sat_conversion,[],[f544]) ).
cnf(s100,plain,
( ~ spl49_5
| ~ spl49_34 ),
inference(sat_conversion,[],[f545]) ).
cnf(s101,plain,
( ~ spl49_6
| spl49_34 ),
inference(sat_conversion,[],[f546]) ).
cnf(s102,plain,
( ~ spl49_6
| ~ spl49_34 ),
inference(sat_conversion,[],[f547]) ).
cnf(s103,plain,
( ~ spl49_10
| spl49_20 ),
inference(sat_conversion,[],[f549]) ).
cnf(s104,plain,
( ~ spl49_10
| spl49_21 ),
inference(sat_conversion,[],[f551]) ).
cnf(s105,plain,
( ~ spl49_10
| ~ spl49_19 ),
inference(sat_conversion,[],[f553]) ).
cnf(s106,plain,
( ~ spl49_10
| spl49_40 ),
inference(sat_conversion,[],[f555]) ).
cnf(s107,plain,
( ~ spl49_10
| spl49_46 ),
inference(sat_conversion,[],[f557]) ).
cnf(s109,plain,
( ~ spl49_61
| ~ spl49_62
| ~ spl49_63
| spl49_64 ),
inference(sat_conversion,[],[f570]) ).
cnf(s110,plain,
( ~ spl49_10
| spl49_52
| ~ spl49_71 ),
inference(sat_conversion,[],[f571]) ).
cnf(s111,plain,
( ~ spl49_51
| ~ spl49_52 ),
inference(sat_conversion,[],[f573]) ).
cnf(s112,plain,
( ~ spl49_10
| spl49_45 ),
inference(sat_conversion,[],[f575]) ).
cnf(s113,plain,
( ~ spl49_29
| spl49_30 ),
inference(sat_conversion,[],[f577]) ).
cnf(s117,plain,
( ~ spl49_57
| spl49_58
| ~ spl49_59 ),
inference(sat_conversion,[],[f591]) ).
cnf(s119,plain,
( spl49_30
| ~ spl49_33
| ~ spl49_58 ),
inference(sat_conversion,[],[f592]) ).
cnf(s120,plain,
( ~ spl49_29
| ~ spl49_31
| ~ spl49_32
| ~ spl49_60 ),
inference(sat_conversion,[],[f596]) ).
cnf(s121,plain,
( ~ spl49_10
| spl49_39 ),
inference(sat_conversion,[],[f598]) ).
cnf(s122,plain,
( ~ spl49_10
| spl49_56 ),
inference(sat_conversion,[],[f600]) ).
cnf(s123,plain,
( ~ spl49_52
| spl49_53 ),
inference(sat_conversion,[],[f602]) ).
cnf(s124,plain,
( ~ spl49_52
| spl49_55 ),
inference(sat_conversion,[],[f604]) ).
cnf(s125,plain,
( ~ spl49_10
| spl49_54 ),
inference(sat_conversion,[],[f606]) ).
cnf(s126,plain,
( ~ spl49_52
| spl49_69 ),
inference(sat_conversion,[],[f608]) ).
cnf(s127,plain,
( ~ spl49_10
| spl49_70 ),
inference(sat_conversion,[],[f610]) ).
cnf(s128,plain,
( ~ spl49_10
| spl49_38 ),
inference(sat_conversion,[],[f612]) ).
cnf(s129,plain,
( ~ spl49_10
| spl49_37 ),
inference(sat_conversion,[],[f614]) ).
cnf(s133,plain,
( ~ spl49_25
| spl49_26
| ~ spl49_57 ),
inference(sat_conversion,[],[f628]) ).
cnf(s136,plain,
( ~ spl49_51
| ~ spl49_67 ),
inference(sat_conversion,[],[f634]) ).
cnf(s138,plain,
( spl49_57
| ~ spl49_58
| ~ spl49_60 ),
inference(sat_conversion,[],[f641]) ).
cnf(s139,plain,
( spl49_24
| ~ spl49_27
| ~ spl49_58 ),
inference(sat_conversion,[],[f642]) ).
cnf(s146,plain,
( ~ spl49_19
| ~ spl49_42 ),
inference(sat_conversion,[],[f657]) ).
cnf(s147,plain,
( ~ spl49_19
| ~ spl49_41 ),
inference(sat_conversion,[],[f659]) ).
cnf(s148,plain,
( ~ spl49_19
| ~ spl49_43 ),
inference(sat_conversion,[],[f661]) ).
cnf(s149,plain,
( ~ spl49_19
| ~ spl49_44 ),
inference(sat_conversion,[],[f663]) ).
cnf(s150,plain,
( ~ spl49_19
| ~ spl49_65 ),
inference(sat_conversion,[],[f665]) ).
cnf(s153,plain,
( ~ spl49_49
| ~ spl49_51 ),
inference(sat_conversion,[],[f671]) ).
cnf(s154,plain,
( ~ spl49_19
| ~ spl49_48 ),
inference(sat_conversion,[],[f673]) ).
cnf(s155,plain,
( ~ spl49_47
| ~ spl49_51 ),
inference(sat_conversion,[],[f675]) ).
cnf(s156,plain,
( ~ spl49_19
| ~ spl49_50 ),
inference(sat_conversion,[],[f677]) ).
cnf(s157,plain,
( ~ spl49_19
| ~ spl49_36 ),
inference(sat_conversion,[],[f679]) ).
cnf(s158,plain,
( ~ spl49_19
| ~ spl49_35 ),
inference(sat_conversion,[],[f681]) ).
cnf(s161,plain,
( ~ spl49_19
| ~ spl49_68 ),
inference(sat_conversion,[],[f687]) ).
cnf(s162,plain,
( spl49_58
| ~ spl49_18 ),
inference(rat,[],[s117,s83,s85]) ).
cnf(s163,plain,
( spl49_29
| ~ spl49_18 ),
inference(rat,[],[s119,s22,s19,s84,s162]) ).
cnf(s164,plain,
~ spl49_18,
inference(rat,[],[s120,s20,s21,s113,s163,s84,s86]) ).
cnf(s165,plain,
~ spl49_17,
inference(rat,[],[s109,s79,s80,s81,s82]) ).
cnf(s166,plain,
( spl49_58
| ~ spl49_16 ),
inference(rat,[],[s75,s117,s77]) ).
cnf(s168,plain,
( ~ spl49_24
| ~ spl49_16 ),
inference(rat,[],[s133,s14,s15,s76,s138,s166,s78]) ).
cnf(s169,plain,
~ spl49_16,
inference(rat,[],[s133,s17,s18,s139,s168,s138,s166,s76,s78]) ).
cnf(s170,plain,
( ~ spl49_13
| spl49_10 ),
inference(rat,[],[s126,s93,s94]) ).
cnf(s171,plain,
~ spl49_12,
inference(rat,[],[s61,s153,s155,s154,s156,s63,s67]) ).
cnf(s172,plain,
~ spl49_11,
inference(rat,[],[s92,s136,s161,s90,s91]) ).
cnf(s173,plain,
( spl49_10
| spl49_9
| spl49_8
| spl49_7
| spl49_6
| spl49_5
| spl49_4
| spl49_3
| spl49_2
| spl49_1 ),
inference(rat,[],[s2,s170,s73,s97,s165,s171,s172,s169,s164]) ).
cnf(s174,plain,
( ~ spl49_15
| ~ spl49_10 ),
inference(rat,[],[s110,s111,s96,s98]) ).
cnf(s175,plain,
( spl49_9
| spl49_8
| spl49_1
| spl49_7
| spl49_6
| spl49_5
| spl49_4
| spl49_3
| spl49_2 ),
inference(rat,[],[s74,s123,s124,s69,s12,s174,s95,s103,s104,s105,s122,s125,s127,s173,s164,s165,s169,s171,s172]) ).
cnf(s176,plain,
~ spl49_9,
inference(rat,[],[s150,s87,s88]) ).
cnf(s177,plain,
( spl49_34
| ~ spl49_8 ),
inference(rat,[],[s60,s107,s112,s56]) ).
cnf(s178,plain,
~ spl49_8,
inference(rat,[],[s177,s57]) ).
cnf(s179,plain,
( ~ spl49_34
| ~ spl49_7 ),
inference(rat,[],[s52,s148,s149,s54]) ).
cnf(s180,plain,
~ spl49_7,
inference(rat,[],[s179,s49]) ).
cnf(s181,plain,
~ spl49_6,
inference(rat,[],[s101,s102]) ).
cnf(s182,plain,
~ spl49_5,
inference(rat,[],[s99,s100]) ).
cnf(s183,plain,
~ spl49_4,
inference(rat,[],[s43,s146,s147,s44,s48]) ).
cnf(s184,plain,
~ spl49_3,
inference(rat,[],[s37,s106,s121,s39,s42]) ).
cnf(s185,plain,
( ~ spl49_34
| ~ spl49_2 ),
inference(rat,[],[s36,s128,s129,s32]) ).
cnf(s186,plain,
~ spl49_2,
inference(rat,[],[s185,s33]) ).
cnf(s187,plain,
spl49_1,
inference(rat,[],[s175,s183,s182,s181,s180,s178,s176,s184,s186]) ).
cnf(s188,plain,
~ spl49_34,
inference(rat,[],[s30,s187]) ).
cnf(s189,plain,
spl49_19,
inference(rat,[],[s26,s187,s188]) ).
cnf(s193,plain,
~ spl49_35,
inference(rat,[],[s158,s189]) ).
cnf(s194,plain,
~ spl49_36,
inference(rat,[],[s157,s189]) ).
cnf(s211,plain,
$false,
inference(rat,[],[s27,s187,s194,s193]) ).
fof(f688,plain,
$false,
inference(avatar_sat_refutation,[],[s211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN917+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n020.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 17:13:34 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.28 % (313527)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (313534)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2116908927:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (313533)% WARNING: option uhcvi not known.
% 0.18/0.28 % (313532)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3155670286_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (313533)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3954347060:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (313535)dis+10_1_sil=32000:sp=arity:random_seed=702056456:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (313536)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3573190869:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (313537)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2290380805:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % (313538)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3580505492:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (313535) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-313527-313535"...
% 0.18/0.28 % (313537) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-313527-313537"...
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % (313538) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-313527-313538"...
% 0.18/0.28 % (313533) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-313527-313533"...
% 0.18/0.28 % (313534) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-313527-313534"...
% 0.18/0.28 % TRYING [3]
% 0.18/0.28 % TRYING [4]
% 0.18/0.28 % (313535)...printing done.
% 0.18/0.28 % (313537)...printing done.
% 0.18/0.28 % (313533)...printing done.
% 0.18/0.28 % (313535)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Theorem for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29 % (313535)------------------------------
% 0.18/0.29 % (313535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29 % (313535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29 % (313535)CaDiCaL version: 2.1.3
% 0.18/0.29 % (313535)Termination reason: Refutation
% 0.18/0.29 % (313535)Time elapsed: 0.012 s
% 0.18/0.29 % (313535)Peak memory usage: 12 MB
% 0.18/0.29 % (313535)Instructions burned: 18 (million)
% 0.18/0.29 % (313527)Success in time 0.055 s
% 0.18/0.29 % Vampire exiting
%------------------------------------------------------------------------------