%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN938+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:22:54 PM UTC 2026
% Result : Theorem 0.37s 0.27s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 195
% Syntax : Number of formulae : 1127 ( 45 unt; 194 def)
% Number of atoms : 5401 ( 0 equ)
% Maximal formula atoms : 203 ( 4 avg)
% Number of connectives : 6400 (2126 ~;2720 |;1003 &)
% ( 191 <=>; 348 =>; 0 <=; 12 <~>)
% Maximal formula depth : 54 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 216 ( 215 usr; 200 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 57 con; 0-2 aty)
% Number of variables : 1646 ( 0 sgn1082 !; 564 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( p1(f(X4))
=> p1(X3) )
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& q1(X3) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) )
& q1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) )
& q1(X3) ) )
& ( ( ! [X3] :
( a1(X3)
=> ( b(X3)
| c(X3) ) )
& ~ ! [X3] :
( a1(X3)
=> b(X3) ) )
=> ? [X3] :
( a1(X3)
& c(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( p1(X5)
& e(X5)
& ( e(X3)
=> ( g(X3)
| s(X3,f(X3)) ) )
& ( e(X6)
=> ( g(X6)
| c(f(X6)) ) )
& ( s(X5,X4)
=> p1(X4) ) )
=> ( ( p1(X7)
& g(X7) )
| ( p1(X8)
& c(X8) ) ) )
& ! [X5,X1,X0] :
( ( s1(X5)
& s1(X1)
& r(X1,X0)
& ! [X3] :
( s1(X3)
=> p1(X3) )
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) ) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X5)
& p1(X1) ) )
& ( ( ! [X3] : p1(X3)
& ? [X4] : q1(X4) )
=> ? [X2] :
! [X4] :
( p1(X4)
| r1(X2) ) )
& ( ! [X3] :
? [X4] :
( p1(X3)
& q1(X4) )
=> ? [X2] :
! [X4] :
( p1(X4)
| r1(X2) ) )
& ( ! [X3] :
? [X4] :
( a(X3,X4)
& a(X4,X4) )
=> ? [X2] : a(X2,X2) )
& ! [X5,X1,X0] :
( ( s1(X5)
& s1(X1)
& r(X1,X0)
& ! [X3] :
( s1(X3)
=> p1(X3) )
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) ) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ( ? [X3] : p1(X3)
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ( ? [X3] : a1(X3)
& ! [X3] : b(X3) )
=> ? [X3] :
( a1(X3)
& b(X3) ) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( a1(X3)
| b(X3) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X5)
& p1(X1) ) )
& ( ! [X3] : p1(X3)
=> ( ! [X3] : p1(X3)
& ! [X4] : p1(X4) ) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ? [X2] :
! [X3] :
? [X4] :
( ( p(X4,X3)
=> ? [X9] : p(X9,X4) )
& ( ( p(X2,X4)
& p(X4,X2) )
=> p(X4,X3) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X1] :
( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& r1(X1) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ! [X5] :
( ( ( f0
| g0 )
& ! [X3] :
( p1(X3)
& q1(X3) ) )
=> q1(X5) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [X5,X1] :
? [X3,X4] :
( ( ( q1(X3)
=> p(X3,X5) )
& q1(X5)
& q1(X1)
& ( r1(X4)
=> p(X1,X4) )
& r1(X5)
& r1(X1)
& ( s1(X5)
=> p(X3,X4) )
& s1(X5) )
=> p(X5,X1) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( p(X3,X4)
& ( q(f(X1),X1)
=> q(X3,X4) ) ) )
& ( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& ? [X4] :
( q1(X4)
=> r1(X4) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( p1(f(X4))
=> p1(X3) )
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& q1(X3) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) )
& q1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) )
& q1(X3) ) )
& ( ( ! [X3] :
( a1(X3)
=> ( b(X3)
| c(X3) ) )
& ~ ! [X3] :
( a1(X3)
=> b(X3) ) )
=> ? [X3] :
( a1(X3)
& c(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( p1(X5)
& e(X5)
& ( e(X3)
=> ( g(X3)
| s(X3,f(X3)) ) )
& ( e(X6)
=> ( g(X6)
| c(f(X6)) ) )
& ( s(X5,X4)
=> p1(X4) ) )
=> ( ( p1(X7)
& g(X7) )
| ( p1(X8)
& c(X8) ) ) )
& ! [X5,X1,X0] :
( ( s1(X5)
& s1(X1)
& r(X1,X0)
& ! [X3] :
( s1(X3)
=> p1(X3) )
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) ) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X5)
& p1(X1) ) )
& ( ( ! [X3] : p1(X3)
& ? [X4] : q1(X4) )
=> ? [X2] :
! [X4] :
( p1(X4)
| r1(X2) ) )
& ( ! [X3] :
? [X4] :
( p1(X3)
& q1(X4) )
=> ? [X2] :
! [X4] :
( p1(X4)
| r1(X2) ) )
& ( ! [X3] :
? [X4] :
( a(X3,X4)
& a(X4,X4) )
=> ? [X2] : a(X2,X2) )
& ! [X5,X1,X0] :
( ( s1(X5)
& s1(X1)
& r(X1,X0)
& ! [X3] :
( s1(X3)
=> p1(X3) )
& ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) ) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ( ? [X3] : p1(X3)
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ( ? [X3] : a1(X3)
& ! [X3] : b(X3) )
=> ? [X3] :
( a1(X3)
& b(X3) ) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( a1(X3)
| b(X3) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X5)
& p1(X1) ) )
& ( ! [X3] : p1(X3)
=> ( ! [X3] : p1(X3)
& ! [X4] : p1(X4) ) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ? [X2] :
! [X3] :
? [X4] :
( ( p(X4,X3)
=> ? [X9] : p(X9,X4) )
& ( ( p(X2,X4)
& p(X4,X2) )
=> p(X4,X3) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X1] :
( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& r1(X1) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ! [X5] :
( ( ( f0
| g0 )
& ! [X3] :
( p1(X3)
& q1(X3) ) )
=> q1(X5) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [X5,X1] :
? [X3,X4] :
( ( ( q1(X3)
=> p(X3,X5) )
& q1(X5)
& q1(X1)
& ( r1(X4)
=> p(X1,X4) )
& r1(X5)
& r1(X1)
& ( s1(X5)
=> p(X3,X4) )
& s1(X5) )
=> p(X5,X1) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( p(X3,X4)
& ( q(f(X1),X1)
=> q(X3,X4) ) ) )
& ( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& ? [X4] :
( q1(X4)
=> r1(X4) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( p1(f(X4))
=> p1(X3) )
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& q1(X3) ) )
& ! [X5,X6] :
( ! [X7] : q1(f(X7))
=> ? [X8,X9] :
( ( p1(f(X9))
=> ( p1(X8)
& ( r1(X9)
=> ( r1(X5)
& r1(X6) ) ) ) )
& q1(X8) ) )
& ! [X10,X11] :
( q1(f(X10))
=> ? [X12,X13] :
( ( p1(f(X13))
=> ( p1(X12)
& ( r1(X13)
=> ( r1(X10)
& r1(X11) ) ) ) )
& q1(X12) ) )
& ( ( ! [X14] :
( a1(X14)
=> ( b(X14)
| c(X14) ) )
& ~ ! [X15] :
( a1(X15)
=> b(X15) ) )
=> ? [X16] :
( a1(X16)
& c(X16) ) )
& ! [X17] :
? [X18,X19,X20,X21,X22] :
( ( p1(X17)
& e(X17)
& ( e(X18)
=> ( g(X18)
| s(X18,f(X18)) ) )
& ( e(X19)
=> ( g(X19)
| c(f(X19)) ) )
& ( s(X17,X22)
=> p1(X22) ) )
=> ( ( p1(X20)
& g(X20) )
| ( p1(X21)
& c(X21) ) ) )
& ! [X23,X24,X25] :
( ( s1(X23)
& s1(X24)
& r(X24,X25)
& ! [X26] :
( s1(X26)
=> p1(X26) )
& ! [X27,X28] :
( r(X27,X28)
=> q(X27,X28) ) )
=> ? [X29,X30] :
( p1(X29)
& q(X29,X30) ) )
& ( ! [X31] : p1(X31)
=> ! [X32,X33] :
( p1(X32)
& p1(X33) ) )
& ( ( ! [X34] : p1(X34)
& ? [X35] : q1(X35) )
=> ? [X36] :
! [X37] :
( p1(X37)
| r1(X36) ) )
& ( ! [X38] :
? [X39] :
( p1(X38)
& q1(X39) )
=> ? [X40] :
! [X41] :
( p1(X41)
| r1(X40) ) )
& ( ! [X42] :
? [X43] :
( a(X42,X43)
& a(X43,X43) )
=> ? [X44] : a(X44,X44) )
& ! [X45,X46,X47] :
( ( s1(X45)
& s1(X46)
& r(X46,X47)
& ! [X48] :
( s1(X48)
=> p1(X48) )
& ! [X49,X50] :
( r(X49,X50)
=> q(X49,X50) ) )
=> ? [X51,X52] :
( p1(X51)
& q(X51,X52) ) )
& ! [X53,X54] :
( ! [X55] :
( q1(X55)
=> p1(X55) )
=> ? [X56] :
( ( p1(X56)
=> p1(X53) )
& ( q1(X56)
=> p1(X54) ) ) )
& ( ? [X57] : p1(X57)
=> ( ? [X58] : p1(X58)
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X59] : p1(X59)
=> ? [X60] : p1(X60) )
& ( ! [X61] :
( p1(X61)
=> q1(X61) )
=> ( ! [X62] : p1(X62)
=> ! [X63] : q1(X63) ) )
& ! [X64,X65] :
( ! [X66] :
( q1(X66)
=> p1(X66) )
=> ? [X67] :
( ( p1(X67)
=> p1(X64) )
& ( q1(X67)
=> p1(X65) ) ) )
& ( ! [X68] :
( a1(X68)
=> b(X68) )
=> ( ? [X69] : a1(X69)
=> ? [X70] : b(X70) ) )
& ( ? [X71] :
( a1(X71)
=> b(X71) )
=> ( ! [X72] : a1(X72)
=> ? [X73] : b(X73) ) )
& ~ ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
& ( ( ? [X76] : a1(X76)
& ! [X77] : b(X77) )
=> ? [X78] :
( a1(X78)
& b(X78) ) )
& ( ? [X79] : b(X79)
=> ? [X80] :
( a1(X80)
| b(X80) ) )
& ( ? [X81,X82] : a(X81,X82)
<=> ? [X83,X84] : a(X84,X83) )
& ! [X85,X86] :
( ! [X87] : p1(X87)
=> ( p1(X85)
& p1(X86) ) )
& ( ! [X88] : p1(X88)
=> ( ! [X89] : p1(X89)
& ! [X90] : p1(X90) ) )
& ( ? [X91] : p1(X91)
<=> ? [X92] : p1(X92) )
& ( ? [X93] : p1(X93)
=> ? [X94] : p1(X94) )
& ? [X95] :
! [X96] :
? [X97] :
( ( p(X97,X96)
=> ? [X98] : p(X98,X97) )
& ( ( p(X95,X97)
& p(X97,X95) )
=> p(X97,X96) ) )
& ( ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) )
=> ! [X102,X103] :
( eq(X102,X103)
=> eq(X103,X102) ) )
& ! [X104,X105] :
( ! [X106] :
( q1(X106)
=> p1(X106) )
=> ? [X107] :
( ( p1(X107)
=> p1(X104) )
& ( q1(X107)
=> p1(X105) ) ) )
& ? [X108] :
! [X109] :
( p1(X108)
=> p1(X109) )
& ! [X110] :
( ( ! [X111] :
( p1(X111)
=> q1(X111) )
& r1(X110) )
=> ( ! [X112] :
( r1(X112)
=> p1(X112) )
=> q1(X110) ) )
& ! [X113,X114] :
? [X115,X116] :
( ( p1(X115)
=> r1(X116) )
=> ( p1(X113)
=> r1(X114) ) )
& ? [X117] :
( ? [X118] : p1(X118)
=> p1(X117) )
& ( ? [X119] :
! [X120] : p(X119,X120)
=> ! [X121] :
? [X122] : p(X122,X121) )
& ( p1(z)
=> p1(z) )
& ( ? [X123] : p1(X123)
=> ? [X124] : p1(X124) )
& ( ! [X125,X126] : p(X125,X126)
=> ! [X127] : p(X127,X127) )
& ! [X128] :
( ( ( f0
| g0 )
& ! [X129] :
( p1(X129)
& q1(X129) ) )
=> q1(X128) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [X130,X131] :
? [X132,X133] :
( ( ( q1(X132)
=> p(X132,X130) )
& q1(X130)
& q1(X131)
& ( r1(X133)
=> p(X131,X133) )
& r1(X130)
& r1(X131)
& ( s1(X130)
=> p(X132,X133) )
& s1(X130) )
=> p(X130,X131) )
& ! [X134] :
( ! [X135] :
( ( r1(X134)
=> r1(X135) )
=> p(f(X135),X135) )
=> ? [X136,X137] :
( p(X136,X137)
& ( q(f(X134),X134)
=> q(X136,X137) ) ) )
& ( ( ! [X138] :
( p1(X138)
=> q1(X138) )
& ? [X139] :
( q1(X139)
=> r1(X139) ) )
=> ? [X140] :
( p1(X140)
=> r1(X140) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ( ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( p1(f(X4))
=> p1(X3) )
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) )
& q1(X3) ) )
& ! [X5,X6] :
( ! [X7] : q1(f(X7))
=> ? [X8,X9] :
( ( p1(f(X9))
=> ( p1(X8)
& ( r1(X9)
=> ( r1(X5)
& r1(X6) ) ) ) )
& q1(X8) ) )
& ! [X10,X11] :
( q1(f(X10))
=> ? [X12,X13] :
( ( p1(f(X13))
=> ( p1(X12)
& ( r1(X13)
=> ( r1(X10)
& r1(X11) ) ) ) )
& q1(X12) ) )
& ( ( ! [X14] :
( a1(X14)
=> ( b(X14)
| c(X14) ) )
& ~ ! [X15] :
( a1(X15)
=> b(X15) ) )
=> ? [X16] :
( a1(X16)
& c(X16) ) )
& ! [X17] :
? [X18,X19,X20,X21,X22] :
( ( p1(X17)
& e(X17)
& ( e(X18)
=> ( g(X18)
| s(X18,f(X18)) ) )
& ( e(X19)
=> ( g(X19)
| c(f(X19)) ) )
& ( s(X17,X22)
=> p1(X22) ) )
=> ( ( p1(X20)
& g(X20) )
| ( p1(X21)
& c(X21) ) ) )
& ! [X23,X24,X25] :
( ( s1(X23)
& s1(X24)
& r(X24,X25)
& ! [X26] :
( s1(X26)
=> p1(X26) )
& ! [X27,X28] :
( r(X27,X28)
=> q(X27,X28) ) )
=> ? [X29,X30] :
( p1(X29)
& q(X29,X30) ) )
& ( ! [X31] : p1(X31)
=> ! [X32,X33] :
( p1(X32)
& p1(X33) ) )
& ( ( ! [X34] : p1(X34)
& ? [X35] : q1(X35) )
=> ? [X36] :
! [X37] :
( p1(X37)
| r1(X36) ) )
& ( ! [X38] :
? [X39] :
( p1(X38)
& q1(X39) )
=> ? [X40] :
! [X41] :
( p1(X41)
| r1(X40) ) )
& ( ! [X42] :
? [X43] :
( a(X42,X43)
& a(X43,X43) )
=> ? [X44] : a(X44,X44) )
& ! [X45,X46,X47] :
( ( s1(X45)
& s1(X46)
& r(X46,X47)
& ! [X48] :
( s1(X48)
=> p1(X48) )
& ! [X49,X50] :
( r(X49,X50)
=> q(X49,X50) ) )
=> ? [X51,X52] :
( p1(X51)
& q(X51,X52) ) )
& ! [X53,X54] :
( ! [X55] :
( q1(X55)
=> p1(X55) )
=> ? [X56] :
( ( p1(X56)
=> p1(X53) )
& ( q1(X56)
=> p1(X54) ) ) )
& ( ? [X57] : p1(X57)
=> ( ? [X58] : p1(X58)
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X59] : p1(X59)
=> ? [X60] : p1(X60) )
& ( ! [X61] :
( p1(X61)
=> q1(X61) )
=> ( ! [X62] : p1(X62)
=> ! [X63] : q1(X63) ) )
& ! [X64,X65] :
( ! [X66] :
( q1(X66)
=> p1(X66) )
=> ? [X67] :
( ( p1(X67)
=> p1(X64) )
& ( q1(X67)
=> p1(X65) ) ) )
& ( ! [X68] :
( a1(X68)
=> b(X68) )
=> ( ? [X69] : a1(X69)
=> ? [X70] : b(X70) ) )
& ( ? [X71] :
( a1(X71)
=> b(X71) )
=> ( ! [X72] : a1(X72)
=> ? [X73] : b(X73) ) )
& ~ ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
& ( ( ? [X76] : a1(X76)
& ! [X77] : b(X77) )
=> ? [X78] :
( a1(X78)
& b(X78) ) )
& ( ? [X79] : b(X79)
=> ? [X80] :
( a1(X80)
| b(X80) ) )
& ( ? [X81,X82] : a(X81,X82)
<=> ? [X83,X84] : a(X84,X83) )
& ! [X85,X86] :
( ! [X87] : p1(X87)
=> ( p1(X85)
& p1(X86) ) )
& ( ! [X88] : p1(X88)
=> ( ! [X89] : p1(X89)
& ! [X90] : p1(X90) ) )
& ( ? [X91] : p1(X91)
<=> ? [X92] : p1(X92) )
& ( ? [X93] : p1(X93)
=> ? [X94] : p1(X94) )
& ? [X95] :
! [X96] :
? [X97] :
( ( p(X97,X96)
=> ? [X98] : p(X98,X97) )
& ( ( p(X95,X97)
& p(X97,X95) )
=> p(X97,X96) ) )
& ( ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) )
=> ! [X102,X103] :
( eq(X102,X103)
=> eq(X103,X102) ) )
& ! [X104,X105] :
( ! [X106] :
( q1(X106)
=> p1(X106) )
=> ? [X107] :
( ( p1(X107)
=> p1(X104) )
& ( q1(X107)
=> p1(X105) ) ) )
& ? [X108] :
! [X109] :
( p1(X108)
=> p1(X109) )
& ! [X110] :
( ( ! [X111] :
( p1(X111)
=> q1(X111) )
& r1(X110) )
=> ( ! [X112] :
( r1(X112)
=> p1(X112) )
=> q1(X110) ) )
& ! [X113,X114] :
? [X115,X116] :
( ( p1(X115)
=> r1(X116) )
=> ( p1(X113)
=> r1(X114) ) )
& ? [X117] :
( ? [X118] : p1(X118)
=> p1(X117) )
& ( ? [X119] :
! [X120] : p(X119,X120)
=> ! [X121] :
? [X122] : p(X122,X121) )
& ( p1(z)
=> p1(z) )
& ( ? [X123] : p1(X123)
=> ? [X124] : p1(X124) )
& ( ! [X125,X126] : p(X125,X126)
=> ! [X127] : p(X127,X127) )
& ! [X128] :
( ! [X129] :
( p1(X129)
& q1(X129) )
=> q1(X128) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [X130,X131] :
? [X132,X133] :
( ( ( q1(X132)
=> p(X132,X130) )
& q1(X130)
& q1(X131)
& ( r1(X133)
=> p(X131,X133) )
& r1(X130)
& r1(X131)
& ( s1(X130)
=> p(X132,X133) )
& s1(X130) )
=> p(X130,X131) )
& ! [X134] :
( ! [X135] :
( ( r1(X134)
=> r1(X135) )
=> p(f(X135),X135) )
=> ? [X136,X137] :
( p(X136,X137)
& ( q(f(X134),X134)
=> q(X136,X137) ) ) )
& ( ( ! [X138] :
( p1(X138)
=> q1(X138) )
& ? [X139] :
( q1(X139)
=> r1(X139) ) )
=> ? [X140] :
( p1(X140)
=> r1(X140) ) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f5,plain,
( ? [X0,X1] :
( ! [X3,X4] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X4) )
| ~ q1(X3) )
& ! [X2] : q1(f(X2)) )
| ? [X5,X6] :
( ! [X8,X9] :
( ( ( ~ p1(X8)
| ( ( ~ r1(X5)
| ~ r1(X6) )
& r1(X9) ) )
& p1(f(X9)) )
| ~ q1(X8) )
& ! [X7] : q1(f(X7)) )
| ? [X10,X11] :
( ! [X12,X13] :
( ( ( ~ p1(X12)
| ( ( ~ r1(X10)
| ~ r1(X11) )
& r1(X13) ) )
& p1(f(X13)) )
| ~ q1(X12) )
& q1(f(X10)) )
| ( ! [X16] :
( ~ a1(X16)
| ~ c(X16) )
& ! [X14] :
( b(X14)
| c(X14)
| ~ a1(X14) )
& ? [X15] :
( ~ b(X15)
& a1(X15) ) )
| ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ p1(X20)
| ~ g(X20) )
& ( ~ p1(X21)
| ~ c(X21) )
& p1(X17)
& e(X17)
& ( g(X18)
| s(X18,f(X18))
| ~ e(X18) )
& ( g(X19)
| c(f(X19))
| ~ e(X19) )
& ( p1(X22)
| ~ s(X17,X22) ) )
| ? [X23,X24,X25] :
( ! [X29,X30] :
( ~ p1(X29)
| ~ q(X29,X30) )
& s1(X23)
& s1(X24)
& r(X24,X25)
& ! [X26] :
( p1(X26)
| ~ s1(X26) )
& ! [X27,X28] :
( q(X27,X28)
| ~ r(X27,X28) ) )
| ( ? [X32,X33] :
( ~ p1(X32)
| ~ p1(X33) )
& ! [X31] : p1(X31) )
| ( ! [X36] :
? [X37] :
( ~ p1(X37)
& ~ r1(X36) )
& ! [X34] : p1(X34)
& ? [X35] : q1(X35) )
| ( ! [X40] :
? [X41] :
( ~ p1(X41)
& ~ r1(X40) )
& ! [X38] :
? [X39] :
( p1(X38)
& q1(X39) ) )
| ( ! [X44] : ~ a(X44,X44)
& ! [X42] :
? [X43] :
( a(X42,X43)
& a(X43,X43) ) )
| ? [X45,X46,X47] :
( ! [X51,X52] :
( ~ p1(X51)
| ~ q(X51,X52) )
& s1(X45)
& s1(X46)
& r(X46,X47)
& ! [X48] :
( p1(X48)
| ~ s1(X48) )
& ! [X49,X50] :
( q(X49,X50)
| ~ r(X49,X50) ) )
| ? [X53,X54] :
( ! [X56] :
( ( ~ p1(X53)
& p1(X56) )
| ( ~ p1(X54)
& q1(X56) ) )
& ! [X55] :
( p1(X55)
| ~ q1(X55) ) )
| ( ( ! [X58] : ~ p1(X58)
| ( ( ( ~ b0
& b0 )
| ( ~ q0
& q0 ) )
& a0 ) )
& ? [X57] : p1(X57) )
| ( ! [X60] : ~ p1(X60)
& ! [X59] : p1(X59) )
| ( ? [X63] : ~ q1(X63)
& ! [X62] : p1(X62)
& ! [X61] :
( q1(X61)
| ~ p1(X61) ) )
| ? [X64,X65] :
( ! [X67] :
( ( ~ p1(X64)
& p1(X67) )
| ( ~ p1(X65)
& q1(X67) ) )
& ! [X66] :
( p1(X66)
| ~ q1(X66) ) )
| ( ! [X70] : ~ b(X70)
& ? [X69] : a1(X69)
& ! [X68] :
( b(X68)
| ~ a1(X68) ) )
| ( ! [X73] : ~ b(X73)
& ! [X72] : a1(X72)
& ? [X71] :
( b(X71)
| ~ a1(X71) ) )
| ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
| ( ! [X78] :
( ~ a1(X78)
| ~ b(X78) )
& ? [X76] : a1(X76)
& ! [X77] : b(X77) )
| ( ! [X80] :
( ~ a1(X80)
& ~ b(X80) )
& ? [X79] : b(X79) )
| ( ? [X81,X82] : a(X81,X82)
<~> ? [X83,X84] : a(X84,X83) )
| ? [X85,X86] :
( ( ~ p1(X85)
| ~ p1(X86) )
& ! [X87] : p1(X87) )
| ( ( ? [X89] : ~ p1(X89)
| ? [X90] : ~ p1(X90) )
& ! [X88] : p1(X88) )
| ( ? [X91] : p1(X91)
<~> ? [X92] : p1(X92) )
| ( ! [X94] : ~ p1(X94)
& ? [X93] : p1(X93) )
| ! [X95] :
? [X96] :
! [X97] :
( ( ! [X98] : ~ p(X98,X97)
& p(X97,X96) )
| ( ~ p(X97,X96)
& p(X95,X97)
& p(X97,X95) ) )
| ( ? [X102,X103] :
( ~ eq(X103,X102)
& eq(X102,X103) )
& ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) ) )
| ? [X104,X105] :
( ! [X107] :
( ( ~ p1(X104)
& p1(X107) )
| ( ~ p1(X105)
& q1(X107) ) )
& ! [X106] :
( p1(X106)
| ~ q1(X106) ) )
| ! [X108] :
? [X109] :
( ~ p1(X109)
& p1(X108) )
| ? [X110] :
( ~ q1(X110)
& ! [X112] :
( p1(X112)
| ~ r1(X112) )
& ! [X111] :
( q1(X111)
| ~ p1(X111) )
& r1(X110) )
| ? [X113,X114] :
! [X115,X116] :
( ~ r1(X114)
& p1(X113)
& ( r1(X116)
| ~ p1(X115) ) )
| ! [X117] :
( ~ p1(X117)
& ? [X118] : p1(X118) )
| ( ? [X121] :
! [X122] : ~ p(X122,X121)
& ? [X119] :
! [X120] : p(X119,X120) )
| ( ~ p1(z)
& p1(z) )
| ( ! [X124] : ~ p1(X124)
& ? [X123] : p1(X123) )
| ( ? [X127] : ~ p(X127,X127)
& ! [X125,X126] : p(X125,X126) )
| ? [X128] :
( ~ q1(X128)
& ! [X129] :
( p1(X129)
& q1(X129) ) )
| ( ( a0
<~> b0 )
& ~ a0
& ~ b0 )
| ( ( a0
<~> b0 )
& a0
& b0 )
| ? [X130,X131] :
! [X132,X133] :
( ~ p(X130,X131)
& ( p(X132,X130)
| ~ q1(X132) )
& q1(X130)
& q1(X131)
& ( p(X131,X133)
| ~ r1(X133) )
& r1(X130)
& r1(X131)
& ( p(X132,X133)
| ~ s1(X130) )
& s1(X130) )
| ? [X134] :
( ! [X136,X137] :
( ~ p(X136,X137)
| ( ~ q(X136,X137)
& q(f(X134),X134) ) )
& ! [X135] :
( p(f(X135),X135)
| ( ~ r1(X135)
& r1(X134) ) ) )
| ( ! [X140] :
( ~ r1(X140)
& p1(X140) )
& ! [X138] :
( q1(X138)
| ~ p1(X138) )
& ? [X139] :
( r1(X139)
| ~ q1(X139) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
( ? [X0,X1] :
( ! [X3,X4] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X4) )
| ~ q1(X3) )
& ! [X2] : q1(f(X2)) )
| ? [X5,X6] :
( ! [X8,X9] :
( ( ( ~ p1(X8)
| ( ( ~ r1(X5)
| ~ r1(X6) )
& r1(X9) ) )
& p1(f(X9)) )
| ~ q1(X8) )
& ! [X7] : q1(f(X7)) )
| ? [X10,X11] :
( ! [X12,X13] :
( ( ( ~ p1(X12)
| ( ( ~ r1(X10)
| ~ r1(X11) )
& r1(X13) ) )
& p1(f(X13)) )
| ~ q1(X12) )
& q1(f(X10)) )
| ( ! [X16] :
( ~ a1(X16)
| ~ c(X16) )
& ! [X14] :
( b(X14)
| c(X14)
| ~ a1(X14) )
& ? [X15] :
( ~ b(X15)
& a1(X15) ) )
| ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ p1(X20)
| ~ g(X20) )
& ( ~ p1(X21)
| ~ c(X21) )
& p1(X17)
& e(X17)
& ( g(X18)
| s(X18,f(X18))
| ~ e(X18) )
& ( g(X19)
| c(f(X19))
| ~ e(X19) )
& ( p1(X22)
| ~ s(X17,X22) ) )
| ? [X23,X24,X25] :
( ! [X29,X30] :
( ~ p1(X29)
| ~ q(X29,X30) )
& s1(X23)
& s1(X24)
& r(X24,X25)
& ! [X26] :
( p1(X26)
| ~ s1(X26) )
& ! [X27,X28] :
( q(X27,X28)
| ~ r(X27,X28) ) )
| ( ? [X32,X33] :
( ~ p1(X32)
| ~ p1(X33) )
& ! [X31] : p1(X31) )
| ( ! [X36] :
? [X37] :
( ~ p1(X37)
& ~ r1(X36) )
& ! [X34] : p1(X34)
& ? [X35] : q1(X35) )
| ( ! [X40] :
? [X41] :
( ~ p1(X41)
& ~ r1(X40) )
& ! [X38] :
? [X39] :
( p1(X38)
& q1(X39) ) )
| ( ! [X44] : ~ a(X44,X44)
& ! [X42] :
? [X43] :
( a(X42,X43)
& a(X43,X43) ) )
| ? [X45,X46,X47] :
( ! [X51,X52] :
( ~ p1(X51)
| ~ q(X51,X52) )
& s1(X45)
& s1(X46)
& r(X46,X47)
& ! [X48] :
( p1(X48)
| ~ s1(X48) )
& ! [X49,X50] :
( q(X49,X50)
| ~ r(X49,X50) ) )
| ? [X53,X54] :
( ! [X56] :
( ( ~ p1(X53)
& p1(X56) )
| ( ~ p1(X54)
& q1(X56) ) )
& ! [X55] :
( p1(X55)
| ~ q1(X55) ) )
| ( ( ! [X58] : ~ p1(X58)
| ( ( ( ~ b0
& b0 )
| ( ~ q0
& q0 ) )
& a0 ) )
& ? [X57] : p1(X57) )
| ( ! [X60] : ~ p1(X60)
& ! [X59] : p1(X59) )
| ( ? [X63] : ~ q1(X63)
& ! [X62] : p1(X62)
& ! [X61] :
( q1(X61)
| ~ p1(X61) ) )
| ? [X64,X65] :
( ! [X67] :
( ( ~ p1(X64)
& p1(X67) )
| ( ~ p1(X65)
& q1(X67) ) )
& ! [X66] :
( p1(X66)
| ~ q1(X66) ) )
| ( ! [X70] : ~ b(X70)
& ? [X69] : a1(X69)
& ! [X68] :
( b(X68)
| ~ a1(X68) ) )
| ( ! [X73] : ~ b(X73)
& ! [X72] : a1(X72)
& ? [X71] :
( b(X71)
| ~ a1(X71) ) )
| ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
| ( ! [X78] :
( ~ a1(X78)
| ~ b(X78) )
& ? [X76] : a1(X76)
& ! [X77] : b(X77) )
| ( ! [X80] :
( ~ a1(X80)
& ~ b(X80) )
& ? [X79] : b(X79) )
| ( ? [X81,X82] : a(X81,X82)
<~> ? [X83,X84] : a(X84,X83) )
| ? [X85,X86] :
( ( ~ p1(X85)
| ~ p1(X86) )
& ! [X87] : p1(X87) )
| ( ( ? [X89] : ~ p1(X89)
| ? [X90] : ~ p1(X90) )
& ! [X88] : p1(X88) )
| ( ? [X91] : p1(X91)
<~> ? [X92] : p1(X92) )
| ( ! [X94] : ~ p1(X94)
& ? [X93] : p1(X93) )
| ! [X95] :
? [X96] :
! [X97] :
( ( ! [X98] : ~ p(X98,X97)
& p(X97,X96) )
| ( ~ p(X97,X96)
& p(X95,X97)
& p(X97,X95) ) )
| ( ? [X102,X103] :
( ~ eq(X103,X102)
& eq(X102,X103) )
& ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) ) )
| ? [X104,X105] :
( ! [X107] :
( ( ~ p1(X104)
& p1(X107) )
| ( ~ p1(X105)
& q1(X107) ) )
& ! [X106] :
( p1(X106)
| ~ q1(X106) ) )
| ! [X108] :
? [X109] :
( ~ p1(X109)
& p1(X108) )
| ? [X110] :
( ~ q1(X110)
& ! [X112] :
( p1(X112)
| ~ r1(X112) )
& ! [X111] :
( q1(X111)
| ~ p1(X111) )
& r1(X110) )
| ? [X113,X114] :
! [X115,X116] :
( ~ r1(X114)
& p1(X113)
& ( r1(X116)
| ~ p1(X115) ) )
| ! [X117] :
( ~ p1(X117)
& ? [X118] : p1(X118) )
| ( ? [X121] :
! [X122] : ~ p(X122,X121)
& ? [X119] :
! [X120] : p(X119,X120) )
| ( ~ p1(z)
& p1(z) )
| ( ! [X124] : ~ p1(X124)
& ? [X123] : p1(X123) )
| ( ? [X127] : ~ p(X127,X127)
& ! [X125,X126] : p(X125,X126) )
| ? [X128] :
( ~ q1(X128)
& ! [X129] :
( p1(X129)
& q1(X129) ) )
| ( ( a0
<~> b0 )
& ~ a0
& ~ b0 )
| ( ( a0
<~> b0 )
& a0
& b0 )
| ? [X130,X131] :
! [X132,X133] :
( ~ p(X130,X131)
& ( p(X132,X130)
| ~ q1(X132) )
& q1(X130)
& q1(X131)
& ( p(X131,X133)
| ~ r1(X133) )
& r1(X130)
& r1(X131)
& ( p(X132,X133)
| ~ s1(X130) )
& s1(X130) )
| ? [X134] :
( ! [X136,X137] :
( ~ p(X136,X137)
| ( ~ q(X136,X137)
& q(f(X134),X134) ) )
& ! [X135] :
( p(f(X135),X135)
| ( ~ r1(X135)
& r1(X134) ) ) )
| ( ! [X140] :
( ~ r1(X140)
& p1(X140) )
& ! [X138] :
( q1(X138)
| ~ p1(X138) )
& ? [X139] :
( r1(X139)
| ~ q1(X139) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,definition,
( ? [X130,X131] :
! [X132,X133] :
( ~ p(X130,X131)
& ( p(X132,X130)
| ~ q1(X132) )
& q1(X130)
& q1(X131)
& ( p(X131,X133)
| ~ r1(X133) )
& r1(X130)
& r1(X131)
& ( p(X132,X133)
| ~ s1(X130) )
& s1(X130) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ p1(X20)
| ~ g(X20) )
& ( ~ p1(X21)
| ~ c(X21) )
& p1(X17)
& e(X17)
& ( g(X18)
| s(X18,f(X18))
| ~ e(X18) )
& ( g(X19)
| c(f(X19))
| ~ e(X19) )
& ( p1(X22)
| ~ s(X17,X22) ) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ( ? [X102,X103] :
( ~ eq(X103,X102)
& eq(X102,X103) )
& ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) ) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ! [X95] :
? [X96] :
! [X97] :
( ( ! [X98] : ~ p(X98,X97)
& p(X97,X96) )
| ( ~ p(X97,X96)
& p(X95,X97)
& p(X97,X95) ) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( ( ! [X58] : ~ p1(X58)
| ( ( ( ~ b0
& b0 )
| ( ~ q0
& q0 ) )
& a0 ) )
& ? [X57] : p1(X57) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ? [X45,X46,X47] :
( ! [X51,X52] :
( ~ p1(X51)
| ~ q(X51,X52) )
& s1(X45)
& s1(X46)
& r(X46,X47)
& ! [X48] :
( p1(X48)
| ~ s1(X48) )
& ! [X49,X50] :
( q(X49,X50)
| ~ r(X49,X50) ) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ? [X23,X24,X25] :
( ! [X29,X30] :
( ~ p1(X29)
| ~ q(X29,X30) )
& s1(X23)
& s1(X24)
& r(X24,X25)
& ! [X26] :
( p1(X26)
| ~ s1(X26) )
& ! [X27,X28] :
( q(X27,X28)
| ~ r(X27,X28) ) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ? [X104,X105] :
( ! [X107] :
( ( ~ p1(X104)
& p1(X107) )
| ( ~ p1(X105)
& q1(X107) ) )
& ! [X106] :
( p1(X106)
| ~ q1(X106) ) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ? [X64,X65] :
( ! [X67] :
( ( ~ p1(X64)
& p1(X67) )
| ( ~ p1(X65)
& q1(X67) ) )
& ! [X66] :
( p1(X66)
| ~ q1(X66) ) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ? [X53,X54] :
( ! [X56] :
( ( ~ p1(X53)
& p1(X56) )
| ( ~ p1(X54)
& q1(X56) ) )
& ! [X55] :
( p1(X55)
| ~ q1(X55) ) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ? [X0,X1] :
( ! [X3,X4] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X4) )
| ~ q1(X3) )
& ! [X2] : q1(f(X2)) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( ! [X140] :
( ~ r1(X140)
& p1(X140) )
& ! [X138] :
( q1(X138)
| ~ p1(X138) )
& ? [X139] :
( r1(X139)
| ~ q1(X139) ) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ? [X134] :
( ! [X136,X137] :
( ~ p(X136,X137)
| ( ~ q(X136,X137)
& q(f(X134),X134) ) )
& ! [X135] :
( p(f(X135),X135)
| ( ~ r1(X135)
& r1(X134) ) ) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( ( a0
<~> b0 )
& a0
& b0 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( ( a0
<~> b0 )
& ~ a0
& ~ b0 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ? [X110] :
( ~ q1(X110)
& ! [X112] :
( p1(X112)
| ~ r1(X112) )
& ! [X111] :
( q1(X111)
| ~ p1(X111) )
& r1(X110) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( ! [X40] :
? [X41] :
( ~ p1(X41)
& ~ r1(X40) )
& ! [X38] :
? [X39] :
( p1(X38)
& q1(X39) ) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( ! [X36] :
? [X37] :
( ~ p1(X37)
& ~ r1(X36) )
& ! [X34] : p1(X34)
& ? [X35] : q1(X35) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( ! [X16] :
( ~ a1(X16)
| ~ c(X16) )
& ! [X14] :
( b(X14)
| c(X14)
| ~ a1(X14) )
& ? [X15] :
( ~ b(X15)
& a1(X15) ) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ? [X10,X11] :
( ! [X12,X13] :
( ( ( ~ p1(X12)
| ( ( ~ r1(X10)
| ~ r1(X11) )
& r1(X13) ) )
& p1(f(X13)) )
| ~ q1(X12) )
& q1(f(X10)) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ? [X5,X6] :
( ! [X8,X9] :
( ( ( ~ p1(X8)
| ( ( ~ r1(X5)
| ~ r1(X6) )
& r1(X9) ) )
& p1(f(X9)) )
| ~ q1(X8) )
& ! [X7] : q1(f(X7)) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ? [X128] :
( ~ q1(X128)
& ! [X129] :
( p1(X129)
& q1(X129) ) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ? [X113,X114] :
! [X115,X116] :
( ~ r1(X114)
& p1(X113)
& ( r1(X116)
| ~ p1(X115) ) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( ! [X80] :
( ~ a1(X80)
& ~ b(X80) )
& ? [X79] : b(X79) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( ! [X78] :
( ~ a1(X78)
| ~ b(X78) )
& ? [X76] : a1(X76)
& ! [X77] : b(X77) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( ! [X73] : ~ b(X73)
& ! [X72] : a1(X72)
& ? [X71] :
( b(X71)
| ~ a1(X71) ) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( ! [X70] : ~ b(X70)
& ? [X69] : a1(X69)
& ! [X68] :
( b(X68)
| ~ a1(X68) ) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( ? [X63] : ~ q1(X63)
& ! [X62] : p1(X62)
& ! [X61] :
( q1(X61)
| ~ p1(X61) ) )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( ! [X44] : ~ a(X44,X44)
& ! [X42] :
? [X43] :
( a(X42,X43)
& a(X43,X43) ) )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( ? [X127] : ~ p(X127,X127)
& ! [X125,X126] : p(X125,X126) )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( ! [X124] : ~ p1(X124)
& ? [X123] : p1(X123) )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( ~ p1(z)
& p1(z) )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( ? [X121] :
! [X122] : ~ p(X122,X121)
& ? [X119] :
! [X120] : p(X119,X120) )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ! [X117] :
( ~ p1(X117)
& ? [X118] : p1(X118) )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ! [X108] :
? [X109] :
( ~ p1(X109)
& p1(X108) )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( ! [X94] : ~ p1(X94)
& ? [X93] : p1(X93) )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( ? [X91] : p1(X91)
<~> ? [X92] : p1(X92) )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( ( ? [X89] : ~ p1(X89)
| ? [X90] : ~ p1(X90) )
& ! [X88] : p1(X88) )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ? [X85,X86] :
( ( ~ p1(X85)
| ~ p1(X86) )
& ! [X87] : p1(X87) )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( ? [X81,X82] : a(X81,X82)
<~> ? [X83,X84] : a(X84,X83) )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f47,plain,
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ( ? [X32,X33] :
( ~ p1(X32)
| ~ p1(X33) )
& ! [X31] : p1(X31) )
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| ( ! [X60] : ~ p1(X60)
& ! [X59] : p1(X59) )
| sP27
| sP8
| sP26
| sP25
| ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(definition_folding,[],[f6,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f48,plain,
( ( ( ! [X83,X84] : ~ a(X84,X83)
| ! [X81,X82] : ~ a(X81,X82) )
& ( ? [X83,X84] : a(X84,X83)
| ? [X81,X82] : a(X81,X82) ) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f49,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X2,X3) )
& ( ? [X4,X5] : a(X5,X4)
| ? [X6,X7] : a(X6,X7) ) )
| ~ sP39 ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X2,X3) )
& ( a(sK41,sK40)
| a(sK42,sK43) ) )
| ~ sP39 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43]),skolemize(X4,sK40),skolemize(X5,sK41),skolemize(X6,sK42),skolemize(X7,sK43)],[f49]) ).
fof(f51,plain,
( ? [X85,X86] :
( ( ~ p1(X85)
| ~ p1(X86) )
& ! [X87] : p1(X87) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f52,plain,
( ? [X0,X1] :
( ( ~ p1(X0)
| ~ p1(X1) )
& ! [X2] : p1(X2) )
| ~ sP38 ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
( ( ( ~ p1(sK44)
| ~ p1(sK45) )
& ! [X2] : p1(X2) )
| ~ sP38 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45]),skolemize(X0,sK44),skolemize(X1,sK45)],[f52]) ).
fof(f54,plain,
( ( ( ? [X89] : ~ p1(X89)
| ? [X90] : ~ p1(X90) )
& ! [X88] : p1(X88) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f55,plain,
( ( ( ? [X0] : ~ p1(X0)
| ? [X1] : ~ p1(X1) )
& ! [X2] : p1(X2) )
| ~ sP37 ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
( ( ( ~ p1(sK46)
| ~ p1(sK47) )
& ! [X2] : p1(X2) )
| ~ sP37 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47]),skolemize(X0,sK46),skolemize(X1,sK47)],[f55]) ).
fof(f57,plain,
( ( ( ! [X92] : ~ p1(X92)
| ! [X91] : ~ p1(X91) )
& ( ? [X92] : p1(X92)
| ? [X91] : p1(X91) ) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f58,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( ? [X2] : p1(X2)
| ? [X3] : p1(X3) ) )
| ~ sP36 ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( p1(sK48)
| p1(sK49) ) )
| ~ sP36 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49]),skolemize(X2,sK48),skolemize(X3,sK49)],[f58]) ).
fof(f60,plain,
( ( ! [X94] : ~ p1(X94)
& ? [X93] : p1(X93) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f61,plain,
( ( ! [X0] : ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP35 ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
( ( ! [X0] : ~ p1(X0)
& p1(sK50) )
| ~ sP35 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X1,sK50)],[f61]) ).
fof(f63,plain,
( ! [X108] :
? [X109] :
( ~ p1(X109)
& p1(X108) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f64,plain,
( ! [X0] :
? [X1] :
( ~ p1(X1)
& p1(X0) )
| ~ sP34 ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
( ! [X0] :
( ~ p1(sK51(X0))
& p1(X0) )
| ~ sP34 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X1,sK51(X0))],[f64]) ).
fof(f66,plain,
( ! [X117] :
( ~ p1(X117)
& ? [X118] : p1(X118) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f67,plain,
( ! [X0] :
( ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP33 ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
( ! [X0] :
( ~ p1(X0)
& p1(sK52) )
| ~ sP33 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X1,sK52)],[f67]) ).
fof(f69,plain,
( ( ? [X121] :
! [X122] : ~ p(X122,X121)
& ? [X119] :
! [X120] : p(X119,X120) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f70,plain,
( ( ? [X0] :
! [X1] : ~ p(X1,X0)
& ? [X2] :
! [X3] : p(X2,X3) )
| ~ sP32 ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
( ( ! [X1] : ~ p(X1,sK53)
& ! [X3] : p(sK54,X3) )
| ~ sP32 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X2,sK54)],[f70]) ).
fof(f72,plain,
( ( ~ p1(z)
& p1(z) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f73,plain,
( ( ! [X124] : ~ p1(X124)
& ? [X123] : p1(X123) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
( ( ! [X0] : ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP30 ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
( ( ! [X0] : ~ p1(X0)
& p1(sK55) )
| ~ sP30 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X1,sK55)],[f74]) ).
fof(f76,plain,
( ( ? [X127] : ~ p(X127,X127)
& ! [X125,X126] : p(X125,X126) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f77,plain,
( ( ? [X0] : ~ p(X0,X0)
& ! [X1,X2] : p(X1,X2) )
| ~ sP29 ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
( ( ~ p(sK56,sK56)
& ! [X1,X2] : p(X1,X2) )
| ~ sP29 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X0,sK56)],[f77]) ).
fof(f79,plain,
( ( ! [X44] : ~ a(X44,X44)
& ! [X42] :
? [X43] :
( a(X42,X43)
& a(X43,X43) ) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f80,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
? [X2] :
( a(X1,X2)
& a(X2,X2) ) )
| ~ sP28 ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
( a(X1,sK57(X1))
& a(sK57(X1),sK57(X1)) ) )
| ~ sP28 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X2,sK57(X1))],[f80]) ).
fof(f82,plain,
( ( ? [X63] : ~ q1(X63)
& ! [X62] : p1(X62)
& ! [X61] :
( q1(X61)
| ~ p1(X61) ) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f83,plain,
( ( ? [X0] : ~ q1(X0)
& ! [X1] : p1(X1)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP27 ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
( ( ~ q1(sK58)
& ! [X1] : p1(X1)
& ! [X2] :
( q1(X2)
| ~ p1(X2) ) )
| ~ sP27 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X0,sK58)],[f83]) ).
fof(f85,plain,
( ( ! [X70] : ~ b(X70)
& ? [X69] : a1(X69)
& ! [X68] :
( b(X68)
| ~ a1(X68) ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f86,plain,
( ( ! [X0] : ~ b(X0)
& ? [X1] : a1(X1)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP26 ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
( ( ! [X0] : ~ b(X0)
& a1(sK59)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP26 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X1,sK59)],[f86]) ).
fof(f88,plain,
( ( ! [X73] : ~ b(X73)
& ! [X72] : a1(X72)
& ? [X71] :
( b(X71)
| ~ a1(X71) ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f89,plain,
( ( ! [X0] : ~ b(X0)
& ! [X1] : a1(X1)
& ? [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP25 ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
( ( ! [X0] : ~ b(X0)
& ! [X1] : a1(X1)
& ( b(sK60)
| ~ a1(sK60) ) )
| ~ sP25 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X2,sK60)],[f89]) ).
fof(f91,plain,
( ( ! [X78] :
( ~ a1(X78)
| ~ b(X78) )
& ? [X76] : a1(X76)
& ! [X77] : b(X77) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f92,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ b(X0) )
& ? [X1] : a1(X1)
& ! [X2] : b(X2) )
| ~ sP24 ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ b(X0) )
& a1(sK61)
& ! [X2] : b(X2) )
| ~ sP24 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X1,sK61)],[f92]) ).
fof(f94,plain,
( ( ! [X80] :
( ~ a1(X80)
& ~ b(X80) )
& ? [X79] : b(X79) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f95,plain,
( ( ! [X0] :
( ~ a1(X0)
& ~ b(X0) )
& ? [X1] : b(X1) )
| ~ sP23 ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
( ( ! [X0] :
( ~ a1(X0)
& ~ b(X0) )
& b(sK62) )
| ~ sP23 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X1,sK62)],[f95]) ).
fof(f97,plain,
( ? [X113,X114] :
! [X115,X116] :
( ~ r1(X114)
& p1(X113)
& ( r1(X116)
| ~ p1(X115) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f98,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ r1(X1)
& p1(X0)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP22 ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
( ! [X2,X3] :
( ~ r1(sK64)
& p1(sK63)
& ( r1(X3)
| ~ p1(X2) ) )
| ~ sP22 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63,sK64]),skolemize(X0,sK63),skolemize(X1,sK64)],[f98]) ).
fof(f100,plain,
( ? [X128] :
( ~ q1(X128)
& ! [X129] :
( p1(X129)
& q1(X129) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f101,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
& q1(X1) ) )
| ~ sP21 ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
( ( ~ q1(sK65)
& ! [X1] :
( p1(X1)
& q1(X1) ) )
| ~ sP21 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X0,sK65)],[f101]) ).
fof(f103,plain,
( ? [X5,X6] :
( ! [X8,X9] :
( ( ( ~ p1(X8)
| ( ( ~ r1(X5)
| ~ r1(X6) )
& r1(X9) ) )
& p1(f(X9)) )
| ~ q1(X8) )
& ! [X7] : q1(f(X7)) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f104,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ( ~ p1(X2)
| ( ( ~ r1(X0)
| ~ r1(X1) )
& r1(X3) ) )
& p1(f(X3)) )
| ~ q1(X2) )
& ! [X4] : q1(f(X4)) )
| ~ sP20 ),
inference(rectify,[],[f103]) ).
fof(f105,plain,
( ( ! [X2,X3] :
( ( ( ~ p1(X2)
| ( ( ~ r1(sK66)
| ~ r1(sK67) )
& r1(X3) ) )
& p1(f(X3)) )
| ~ q1(X2) )
& ! [X4] : q1(f(X4)) )
| ~ sP20 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67]),skolemize(X0,sK66),skolemize(X1,sK67)],[f104]) ).
fof(f106,plain,
( ? [X10,X11] :
( ! [X12,X13] :
( ( ( ~ p1(X12)
| ( ( ~ r1(X10)
| ~ r1(X11) )
& r1(X13) ) )
& p1(f(X13)) )
| ~ q1(X12) )
& q1(f(X10)) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f107,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ( ~ p1(X2)
| ( ( ~ r1(X0)
| ~ r1(X1) )
& r1(X3) ) )
& p1(f(X3)) )
| ~ q1(X2) )
& q1(f(X0)) )
| ~ sP19 ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
( ( ! [X2,X3] :
( ( ( ~ p1(X2)
| ( ( ~ r1(sK68)
| ~ r1(sK69) )
& r1(X3) ) )
& p1(f(X3)) )
| ~ q1(X2) )
& q1(f(sK68)) )
| ~ sP19 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69]),skolemize(X0,sK68),skolemize(X1,sK69)],[f107]) ).
fof(f109,plain,
( ( ! [X16] :
( ~ a1(X16)
| ~ c(X16) )
& ! [X14] :
( b(X14)
| c(X14)
| ~ a1(X14) )
& ? [X15] :
( ~ b(X15)
& a1(X15) ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f110,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ c(X0) )
& ! [X1] :
( b(X1)
| c(X1)
| ~ a1(X1) )
& ? [X2] :
( ~ b(X2)
& a1(X2) ) )
| ~ sP18 ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ c(X0) )
& ! [X1] :
( b(X1)
| c(X1)
| ~ a1(X1) )
& ~ b(sK70)
& a1(sK70) )
| ~ sP18 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(X2,sK70)],[f110]) ).
fof(f112,plain,
( ( ! [X36] :
? [X37] :
( ~ p1(X37)
& ~ r1(X36) )
& ! [X34] : p1(X34)
& ? [X35] : q1(X35) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f113,plain,
( ( ! [X0] :
? [X1] :
( ~ p1(X1)
& ~ r1(X0) )
& ! [X2] : p1(X2)
& ? [X3] : q1(X3) )
| ~ sP17 ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
( ( ! [X0] :
( ~ p1(sK71(X0))
& ~ r1(X0) )
& ! [X2] : p1(X2)
& q1(sK72) )
| ~ sP17 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71,sK72]),skolemize(X1,sK71(X0)),skolemize(X3,sK72)],[f113]) ).
fof(f115,plain,
( ( ! [X40] :
? [X41] :
( ~ p1(X41)
& ~ r1(X40) )
& ! [X38] :
? [X39] :
( p1(X38)
& q1(X39) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f116,plain,
( ( ! [X0] :
? [X1] :
( ~ p1(X1)
& ~ r1(X0) )
& ! [X2] :
? [X3] :
( p1(X2)
& q1(X3) ) )
| ~ sP16 ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
( ( ! [X0] :
( ~ p1(sK73(X0))
& ~ r1(X0) )
& ! [X2] :
( p1(X2)
& q1(sK74(X2)) ) )
| ~ sP16 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73,sK74]),skolemize(X1,sK73(X0)),skolemize(X3,sK74(X2))],[f116]) ).
fof(f118,plain,
( ? [X110] :
( ~ q1(X110)
& ! [X112] :
( p1(X112)
| ~ r1(X112) )
& ! [X111] :
( q1(X111)
| ~ p1(X111) )
& r1(X110) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f119,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& ! [X2] :
( q1(X2)
| ~ p1(X2) )
& r1(X0) )
| ~ sP15 ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
( ( ~ q1(sK75)
& ! [X1] :
( p1(X1)
| ~ r1(X1) )
& ! [X2] :
( q1(X2)
| ~ p1(X2) )
& r1(sK75) )
| ~ sP15 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(X0,sK75)],[f119]) ).
fof(f121,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& ~ a0
& ~ b0 )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f122,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& ~ a0
& ~ b0 )
| ~ sP14 ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& a0
& b0 )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f124,plain,
( ( ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& a0
& b0 )
| ~ sP13 ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
( ? [X134] :
( ! [X136,X137] :
( ~ p(X136,X137)
| ( ~ q(X136,X137)
& q(f(X134),X134) ) )
& ! [X135] :
( p(f(X135),X135)
| ( ~ r1(X135)
& r1(X134) ) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f126,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ p(X1,X2)
| ( ~ q(X1,X2)
& q(f(X0),X0) ) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(X0) ) ) )
| ~ sP12 ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
( ( ! [X1,X2] :
( ~ p(X1,X2)
| ( ~ q(X1,X2)
& q(f(sK76),sK76) ) )
& ! [X3] :
( p(f(X3),X3)
| ( ~ r1(X3)
& r1(sK76) ) ) )
| ~ sP12 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(X0,sK76)],[f126]) ).
fof(f128,plain,
( ( ! [X140] :
( ~ r1(X140)
& p1(X140) )
& ! [X138] :
( q1(X138)
| ~ p1(X138) )
& ? [X139] :
( r1(X139)
| ~ q1(X139) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f129,plain,
( ( ! [X0] :
( ~ r1(X0)
& p1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) )
& ? [X2] :
( r1(X2)
| ~ q1(X2) ) )
| ~ sP11 ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
( ( ! [X0] :
( ~ r1(X0)
& p1(X0) )
& ! [X1] :
( q1(X1)
| ~ p1(X1) )
& ( r1(sK77)
| ~ q1(sK77) ) )
| ~ sP11 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(X2,sK77)],[f129]) ).
fof(f131,plain,
( ? [X0,X1] :
( ! [X3,X4] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X4) )
| ~ q1(X3) )
& ! [X2] : q1(f(X2)) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f132,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ~ p1(X2)
& p1(f(X3)) )
| ( ( ~ r1(X1)
| ~ r1(X0) )
& r1(X3) )
| ~ q1(X2) )
& ! [X4] : q1(f(X4)) )
| ~ sP10 ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
( ( ! [X2,X3] :
( ( ~ p1(X2)
& p1(f(X3)) )
| ( ( ~ r1(sK79)
| ~ r1(sK78) )
& r1(X3) )
| ~ q1(X2) )
& ! [X4] : q1(f(X4)) )
| ~ sP10 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78,sK79]),skolemize(X0,sK78),skolemize(X1,sK79)],[f132]) ).
fof(f134,plain,
( ? [X53,X54] :
( ! [X56] :
( ( ~ p1(X53)
& p1(X56) )
| ( ~ p1(X54)
& q1(X56) ) )
& ! [X55] :
( p1(X55)
| ~ q1(X55) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f135,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& p1(X2) )
| ( ~ p1(X1)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP9 ),
inference(rectify,[],[f134]) ).
fof(f136,plain,
( ( ! [X2] :
( ( ~ p1(sK80)
& p1(X2) )
| ( ~ p1(sK81)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP9 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81]),skolemize(X0,sK80),skolemize(X1,sK81)],[f135]) ).
fof(f137,plain,
( ? [X64,X65] :
( ! [X67] :
( ( ~ p1(X64)
& p1(X67) )
| ( ~ p1(X65)
& q1(X67) ) )
& ! [X66] :
( p1(X66)
| ~ q1(X66) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f138,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& p1(X2) )
| ( ~ p1(X1)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP8 ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
( ( ! [X2] :
( ( ~ p1(sK82)
& p1(X2) )
| ( ~ p1(sK83)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP8 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83]),skolemize(X0,sK82),skolemize(X1,sK83)],[f138]) ).
fof(f140,plain,
( ? [X104,X105] :
( ! [X107] :
( ( ~ p1(X104)
& p1(X107) )
| ( ~ p1(X105)
& q1(X107) ) )
& ! [X106] :
( p1(X106)
| ~ q1(X106) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f141,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& p1(X2) )
| ( ~ p1(X1)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP7 ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
( ( ! [X2] :
( ( ~ p1(sK84)
& p1(X2) )
| ( ~ p1(sK85)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP7 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84,sK85]),skolemize(X0,sK84),skolemize(X1,sK85)],[f141]) ).
fof(f143,plain,
( ? [X23,X24,X25] :
( ! [X29,X30] :
( ~ p1(X29)
| ~ q(X29,X30) )
& s1(X23)
& s1(X24)
& r(X24,X25)
& ! [X26] :
( p1(X26)
| ~ s1(X26) )
& ! [X27,X28] :
( q(X27,X28)
| ~ r(X27,X28) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f144,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& s1(X0)
& s1(X1)
& r(X1,X2)
& ! [X5] :
( p1(X5)
| ~ s1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) ) )
| ~ sP6 ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
( ( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& s1(sK86)
& s1(sK87)
& r(sK87,sK88)
& ! [X5] :
( p1(X5)
| ~ s1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) ) )
| ~ sP6 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86,sK87,sK88]),skolemize(X0,sK86),skolemize(X1,sK87),skolemize(X2,sK88)],[f144]) ).
fof(f146,plain,
( ? [X45,X46,X47] :
( ! [X51,X52] :
( ~ p1(X51)
| ~ q(X51,X52) )
& s1(X45)
& s1(X46)
& r(X46,X47)
& ! [X48] :
( p1(X48)
| ~ s1(X48) )
& ! [X49,X50] :
( q(X49,X50)
| ~ r(X49,X50) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f147,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& s1(X0)
& s1(X1)
& r(X1,X2)
& ! [X5] :
( p1(X5)
| ~ s1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) ) )
| ~ sP5 ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
( ( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& s1(sK89)
& s1(sK90)
& r(sK90,sK91)
& ! [X5] :
( p1(X5)
| ~ s1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) ) )
| ~ sP5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90,sK91]),skolemize(X0,sK89),skolemize(X1,sK90),skolemize(X2,sK91)],[f147]) ).
fof(f149,plain,
( ( ( ! [X58] : ~ p1(X58)
| ( ( ( ~ b0
& b0 )
| ( ~ q0
& q0 ) )
& a0 ) )
& ? [X57] : p1(X57) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f150,plain,
( ( ( ! [X0] : ~ p1(X0)
| ( ( ( ~ b0
& b0 )
| ( ~ q0
& q0 ) )
& a0 ) )
& ? [X1] : p1(X1) )
| ~ sP4 ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
( ( ( ! [X0] : ~ p1(X0)
| ( ( ( ~ b0
& b0 )
| ( ~ q0
& q0 ) )
& a0 ) )
& p1(sK92) )
| ~ sP4 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(X1,sK92)],[f150]) ).
fof(f152,plain,
( ! [X95] :
? [X96] :
! [X97] :
( ( ! [X98] : ~ p(X98,X97)
& p(X97,X96) )
| ( ~ p(X97,X96)
& p(X95,X97)
& p(X97,X95) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f153,plain,
( ! [X0] :
? [X1] :
! [X2] :
( ( ! [X3] : ~ p(X3,X2)
& p(X2,X1) )
| ( ~ p(X2,X1)
& p(X0,X2)
& p(X2,X0) ) )
| ~ sP3 ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
( ! [X0,X2] :
( ( ! [X3] : ~ p(X3,X2)
& p(X2,sK93(X0)) )
| ( ~ p(X2,sK93(X0))
& p(X0,X2)
& p(X2,X0) ) )
| ~ sP3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(X1,sK93(X0))],[f153]) ).
fof(f155,plain,
( ( ? [X102,X103] :
( ~ eq(X103,X102)
& eq(X102,X103) )
& ! [X99,X100] :
( ( eq(X99,X100)
| ? [X101] :
( ( ~ a_member_of(X101,X100)
| ~ a_member_of(X101,X99) )
& ( a_member_of(X101,X100)
| a_member_of(X101,X99) ) ) )
& ( ! [X101] :
( ( a_member_of(X101,X99)
| ~ a_member_of(X101,X100) )
& ( a_member_of(X101,X100)
| ~ a_member_of(X101,X99) ) )
| ~ eq(X99,X100) ) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f156,plain,
( ( ? [X0,X1] :
( ~ eq(X1,X0)
& eq(X0,X1) )
& ! [X2,X3] :
( ( eq(X2,X3)
| ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X2,X3) ) ) )
| ~ sP2 ),
inference(rectify,[],[f155]) ).
fof(f157,plain,
( ( ~ eq(sK95,sK94)
& eq(sK94,sK95)
& ! [X2,X3] :
( ( eq(X2,X3)
| ( ( ~ a_member_of(sK96(X2,X3),X3)
| ~ a_member_of(sK96(X2,X3),X2) )
& ( a_member_of(sK96(X2,X3),X3)
| a_member_of(sK96(X2,X3),X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X2,X3) ) ) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94,sK95,sK96]),skolemize(X0,sK94),skolemize(X1,sK95),skolemize(X4,sK96(X2,X3))],[f156]) ).
fof(f158,plain,
( ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ p1(X20)
| ~ g(X20) )
& ( ~ p1(X21)
| ~ c(X21) )
& p1(X17)
& e(X17)
& ( g(X18)
| s(X18,f(X18))
| ~ e(X18) )
& ( g(X19)
| c(f(X19))
| ~ e(X19) )
& ( p1(X22)
| ~ s(X17,X22) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f159,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ p1(X3)
| ~ g(X3) )
& ( ~ p1(X4)
| ~ c(X4) )
& p1(X0)
& e(X0)
& ( g(X1)
| s(X1,f(X1))
| ~ e(X1) )
& ( g(X2)
| c(f(X2))
| ~ e(X2) )
& ( p1(X5)
| ~ s(X0,X5) ) )
| ~ sP1 ),
inference(rectify,[],[f158]) ).
fof(f160,plain,
( ! [X1,X2,X3,X4,X5] :
( ( ~ p1(X3)
| ~ g(X3) )
& ( ~ p1(X4)
| ~ c(X4) )
& p1(sK97)
& e(sK97)
& ( g(X1)
| s(X1,f(X1))
| ~ e(X1) )
& ( g(X2)
| c(f(X2))
| ~ e(X2) )
& ( p1(X5)
| ~ s(sK97,X5) ) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(X0,sK97)],[f159]) ).
fof(f161,plain,
( ? [X130,X131] :
! [X132,X133] :
( ~ p(X130,X131)
& ( p(X132,X130)
| ~ q1(X132) )
& q1(X130)
& q1(X131)
& ( p(X131,X133)
| ~ r1(X133) )
& r1(X130)
& r1(X131)
& ( p(X132,X133)
| ~ s1(X130) )
& s1(X130) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f162,plain,
( ? [X0,X1] :
! [X2,X3] :
( ~ p(X0,X1)
& ( p(X2,X0)
| ~ q1(X2) )
& q1(X0)
& q1(X1)
& ( p(X1,X3)
| ~ r1(X3) )
& r1(X0)
& r1(X1)
& ( p(X2,X3)
| ~ s1(X0) )
& s1(X0) )
| ~ sP0 ),
inference(rectify,[],[f161]) ).
fof(f163,plain,
( ! [X2,X3] :
( ~ p(sK98,sK99)
& ( p(X2,sK98)
| ~ q1(X2) )
& q1(sK98)
& q1(sK99)
& ( p(sK99,X3)
| ~ r1(X3) )
& r1(sK98)
& r1(sK99)
& ( p(X2,X3)
| ~ s1(sK98) )
& s1(sK98) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99]),skolemize(X0,sK98),skolemize(X1,sK99)],[f162]) ).
fof(f164,plain,
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ( ? [X32,X33] :
( ~ p1(X32)
| ~ p1(X33) )
& ! [X31] : p1(X31) )
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| ( ! [X60] : ~ p1(X60)
& ! [X59] : p1(X59) )
| sP27
| sP8
| sP26
| sP25
| ? [X74] :
! [X75] :
( ( a(X75,X74)
| a(X75,X75) )
& ( ~ a(X75,X75)
| ~ a(X75,X74) ) )
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(nnf_transformation,[],[f47]) ).
fof(f165,plain,
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ( ? [X0,X1] :
( ~ p1(X0)
| ~ p1(X1) )
& ! [X2] : p1(X2) )
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| ( ! [X3] : ~ p1(X3)
& ! [X4] : p1(X4) )
| sP27
| sP8
| sP26
| sP25
| ? [X5] :
! [X6] :
( ( a(X6,X5)
| a(X6,X6) )
& ( ~ a(X6,X6)
| ~ a(X6,X5) ) )
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ( ( ~ p1(sK100)
| ~ p1(sK101) )
& ! [X2] : p1(X2) )
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| ( ! [X3] : ~ p1(X3)
& ! [X4] : p1(X4) )
| sP27
| sP8
| sP26
| sP25
| ! [X6] :
( ( a(X6,sK102)
| a(X6,X6) )
& ( ~ a(X6,X6)
| ~ a(X6,sK102) ) )
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100,sK101,sK102]),skolemize(X0,sK100),skolemize(X1,sK101),skolemize(X5,sK102)],[f165]) ).
fof(f167,plain,
( a(sK41,sK40)
| a(sK42,sK43)
| ~ sP39 ),
inference(cnf_transformation,[],[f50]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ a(X1,X0)
| ~ a(X2,X3)
| ~ sP39 ),
inference(cnf_transformation,[],[f50]) ).
fof(f169,plain,
! [X2] :
( p1(X2)
| ~ sP38 ),
inference(cnf_transformation,[],[f53]) ).
fof(f170,plain,
( ~ p1(sK44)
| ~ p1(sK45)
| ~ sP38 ),
inference(cnf_transformation,[],[f53]) ).
fof(f171,plain,
! [X2] :
( p1(X2)
| ~ sP37 ),
inference(cnf_transformation,[],[f56]) ).
fof(f172,plain,
( ~ p1(sK46)
| ~ p1(sK47)
| ~ sP37 ),
inference(cnf_transformation,[],[f56]) ).
fof(f173,plain,
( p1(sK48)
| p1(sK49)
| ~ sP36 ),
inference(cnf_transformation,[],[f59]) ).
fof(f174,plain,
! [X0,X1] :
( ~ p1(X0)
| ~ p1(X1)
| ~ sP36 ),
inference(cnf_transformation,[],[f59]) ).
fof(f175,plain,
( p1(sK50)
| ~ sP35 ),
inference(cnf_transformation,[],[f62]) ).
fof(f176,plain,
! [X0] :
( ~ p1(X0)
| ~ sP35 ),
inference(cnf_transformation,[],[f62]) ).
fof(f177,plain,
! [X0] :
( p1(X0)
| ~ sP34 ),
inference(cnf_transformation,[],[f65]) ).
fof(f178,plain,
! [X0] :
( ~ p1(sK51(X0))
| ~ sP34 ),
inference(cnf_transformation,[],[f65]) ).
fof(f179,plain,
( p1(sK52)
| ~ sP33 ),
inference(cnf_transformation,[],[f68]) ).
fof(f180,plain,
! [X0] :
( ~ p1(X0)
| ~ sP33 ),
inference(cnf_transformation,[],[f68]) ).
fof(f181,plain,
! [X3] :
( p(sK54,X3)
| ~ sP32 ),
inference(cnf_transformation,[],[f71]) ).
fof(f182,plain,
! [X1] :
( ~ p(X1,sK53)
| ~ sP32 ),
inference(cnf_transformation,[],[f71]) ).
fof(f183,plain,
( p1(z)
| ~ sP31 ),
inference(cnf_transformation,[],[f72]) ).
fof(f184,plain,
( ~ p1(z)
| ~ sP31 ),
inference(cnf_transformation,[],[f72]) ).
fof(f185,plain,
( p1(sK55)
| ~ sP30 ),
inference(cnf_transformation,[],[f75]) ).
fof(f186,plain,
! [X0] :
( ~ p1(X0)
| ~ sP30 ),
inference(cnf_transformation,[],[f75]) ).
fof(f187,plain,
! [X2,X1] :
( p(X1,X2)
| ~ sP29 ),
inference(cnf_transformation,[],[f78]) ).
fof(f188,plain,
( ~ p(sK56,sK56)
| ~ sP29 ),
inference(cnf_transformation,[],[f78]) ).
fof(f189,plain,
! [X1] :
( a(sK57(X1),sK57(X1))
| ~ sP28 ),
inference(cnf_transformation,[],[f81]) ).
fof(f191,plain,
! [X0] :
( ~ a(X0,X0)
| ~ sP28 ),
inference(cnf_transformation,[],[f81]) ).
fof(f192,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP27 ),
inference(cnf_transformation,[],[f84]) ).
fof(f193,plain,
! [X1] :
( p1(X1)
| ~ sP27 ),
inference(cnf_transformation,[],[f84]) ).
fof(f194,plain,
( ~ q1(sK58)
| ~ sP27 ),
inference(cnf_transformation,[],[f84]) ).
fof(f195,plain,
! [X2] :
( b(X2)
| ~ a1(X2)
| ~ sP26 ),
inference(cnf_transformation,[],[f87]) ).
fof(f196,plain,
( a1(sK59)
| ~ sP26 ),
inference(cnf_transformation,[],[f87]) ).
fof(f197,plain,
! [X0] :
( ~ b(X0)
| ~ sP26 ),
inference(cnf_transformation,[],[f87]) ).
fof(f198,plain,
( b(sK60)
| ~ a1(sK60)
| ~ sP25 ),
inference(cnf_transformation,[],[f90]) ).
fof(f199,plain,
! [X1] :
( a1(X1)
| ~ sP25 ),
inference(cnf_transformation,[],[f90]) ).
fof(f200,plain,
! [X0] :
( ~ b(X0)
| ~ sP25 ),
inference(cnf_transformation,[],[f90]) ).
fof(f201,plain,
! [X2] :
( b(X2)
| ~ sP24 ),
inference(cnf_transformation,[],[f93]) ).
fof(f202,plain,
( a1(sK61)
| ~ sP24 ),
inference(cnf_transformation,[],[f93]) ).
fof(f203,plain,
! [X0] :
( ~ a1(X0)
| ~ b(X0)
| ~ sP24 ),
inference(cnf_transformation,[],[f93]) ).
fof(f204,plain,
( b(sK62)
| ~ sP23 ),
inference(cnf_transformation,[],[f96]) ).
fof(f205,plain,
! [X0] :
( ~ b(X0)
| ~ sP23 ),
inference(cnf_transformation,[],[f96]) ).
fof(f207,plain,
! [X2,X3] :
( r1(X3)
| ~ p1(X2)
| ~ sP22 ),
inference(cnf_transformation,[],[f99]) ).
fof(f208,plain,
( p1(sK63)
| ~ sP22 ),
inference(cnf_transformation,[],[f99]) ).
fof(f209,plain,
( ~ r1(sK64)
| ~ sP22 ),
inference(cnf_transformation,[],[f99]) ).
fof(f210,plain,
! [X1] :
( q1(X1)
| ~ sP21 ),
inference(cnf_transformation,[],[f102]) ).
fof(f212,plain,
( ~ q1(sK65)
| ~ sP21 ),
inference(cnf_transformation,[],[f102]) ).
fof(f213,plain,
! [X4] :
( q1(f(X4))
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f214,plain,
! [X2,X3] :
( p1(f(X3))
| ~ q1(X2)
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f215,plain,
! [X2,X3] :
( ~ p1(X2)
| r1(X3)
| ~ q1(X2)
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f216,plain,
! [X2] :
( ~ p1(X2)
| ~ r1(sK66)
| ~ r1(sK67)
| ~ q1(X2)
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f217,plain,
( q1(f(sK68))
| ~ sP19 ),
inference(cnf_transformation,[],[f108]) ).
fof(f218,plain,
! [X2,X3] :
( p1(f(X3))
| ~ q1(X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f108]) ).
fof(f219,plain,
! [X2,X3] :
( ~ p1(X2)
| r1(X3)
| ~ q1(X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f108]) ).
fof(f220,plain,
! [X2] :
( ~ p1(X2)
| ~ r1(sK68)
| ~ r1(sK69)
| ~ q1(X2)
| ~ sP19 ),
inference(cnf_transformation,[],[f108]) ).
fof(f221,plain,
( a1(sK70)
| ~ sP18 ),
inference(cnf_transformation,[],[f111]) ).
fof(f222,plain,
( ~ b(sK70)
| ~ sP18 ),
inference(cnf_transformation,[],[f111]) ).
fof(f223,plain,
! [X1] :
( b(X1)
| c(X1)
| ~ a1(X1)
| ~ sP18 ),
inference(cnf_transformation,[],[f111]) ).
fof(f224,plain,
! [X0] :
( ~ a1(X0)
| ~ c(X0)
| ~ sP18 ),
inference(cnf_transformation,[],[f111]) ).
fof(f226,plain,
! [X2] :
( p1(X2)
| ~ sP17 ),
inference(cnf_transformation,[],[f114]) ).
fof(f228,plain,
! [X0] :
( ~ p1(sK71(X0))
| ~ sP17 ),
inference(cnf_transformation,[],[f114]) ).
fof(f230,plain,
! [X2] :
( p1(X2)
| ~ sP16 ),
inference(cnf_transformation,[],[f117]) ).
fof(f232,plain,
! [X0] :
( ~ p1(sK73(X0))
| ~ sP16 ),
inference(cnf_transformation,[],[f117]) ).
fof(f233,plain,
( r1(sK75)
| ~ sP15 ),
inference(cnf_transformation,[],[f120]) ).
fof(f234,plain,
! [X2] :
( q1(X2)
| ~ p1(X2)
| ~ sP15 ),
inference(cnf_transformation,[],[f120]) ).
fof(f235,plain,
! [X1] :
( p1(X1)
| ~ r1(X1)
| ~ sP15 ),
inference(cnf_transformation,[],[f120]) ).
fof(f236,plain,
( ~ q1(sK75)
| ~ sP15 ),
inference(cnf_transformation,[],[f120]) ).
fof(f237,plain,
( ~ b0
| ~ sP14 ),
inference(cnf_transformation,[],[f122]) ).
fof(f238,plain,
( ~ a0
| ~ sP14 ),
inference(cnf_transformation,[],[f122]) ).
fof(f239,plain,
( b0
| a0
| ~ sP14 ),
inference(cnf_transformation,[],[f122]) ).
fof(f241,plain,
( b0
| ~ sP13 ),
inference(cnf_transformation,[],[f124]) ).
fof(f242,plain,
( a0
| ~ sP13 ),
inference(cnf_transformation,[],[f124]) ).
fof(f244,plain,
( ~ b0
| ~ a0
| ~ sP13 ),
inference(cnf_transformation,[],[f124]) ).
fof(f245,plain,
! [X3] :
( p(f(X3),X3)
| r1(sK76)
| ~ sP12 ),
inference(cnf_transformation,[],[f127]) ).
fof(f246,plain,
! [X3] :
( p(f(X3),X3)
| ~ r1(X3)
| ~ sP12 ),
inference(cnf_transformation,[],[f127]) ).
fof(f247,plain,
! [X2,X1] :
( ~ p(X1,X2)
| q(f(sK76),sK76)
| ~ sP12 ),
inference(cnf_transformation,[],[f127]) ).
fof(f248,plain,
! [X2,X1] :
( ~ p(X1,X2)
| ~ q(X1,X2)
| ~ sP12 ),
inference(cnf_transformation,[],[f127]) ).
fof(f249,plain,
( r1(sK77)
| ~ q1(sK77)
| ~ sP11 ),
inference(cnf_transformation,[],[f130]) ).
fof(f250,plain,
! [X1] :
( q1(X1)
| ~ p1(X1)
| ~ sP11 ),
inference(cnf_transformation,[],[f130]) ).
fof(f251,plain,
! [X0] :
( p1(X0)
| ~ sP11 ),
inference(cnf_transformation,[],[f130]) ).
fof(f252,plain,
! [X0] :
( ~ r1(X0)
| ~ sP11 ),
inference(cnf_transformation,[],[f130]) ).
fof(f253,plain,
! [X4] :
( q1(f(X4))
| ~ sP10 ),
inference(cnf_transformation,[],[f133]) ).
fof(f254,plain,
! [X2,X3] :
( p1(f(X3))
| r1(X3)
| ~ q1(X2)
| ~ sP10 ),
inference(cnf_transformation,[],[f133]) ).
fof(f255,plain,
! [X2,X3] :
( p1(f(X3))
| ~ r1(sK79)
| ~ r1(sK78)
| ~ q1(X2)
| ~ sP10 ),
inference(cnf_transformation,[],[f133]) ).
fof(f256,plain,
! [X2,X3] :
( ~ p1(X2)
| r1(X3)
| ~ q1(X2)
| ~ sP10 ),
inference(cnf_transformation,[],[f133]) ).
fof(f257,plain,
! [X2] :
( ~ p1(X2)
| ~ r1(sK79)
| ~ r1(sK78)
| ~ q1(X2)
| ~ sP10 ),
inference(cnf_transformation,[],[f133]) ).
fof(f258,plain,
! [X3] :
( p1(X3)
| ~ q1(X3)
| ~ sP9 ),
inference(cnf_transformation,[],[f136]) ).
fof(f259,plain,
! [X2] :
( p1(X2)
| q1(X2)
| ~ sP9 ),
inference(cnf_transformation,[],[f136]) ).
fof(f262,plain,
( ~ p1(sK80)
| ~ p1(sK81)
| ~ sP9 ),
inference(cnf_transformation,[],[f136]) ).
fof(f263,plain,
! [X3] :
( p1(X3)
| ~ q1(X3)
| ~ sP8 ),
inference(cnf_transformation,[],[f139]) ).
fof(f264,plain,
! [X2] :
( p1(X2)
| q1(X2)
| ~ sP8 ),
inference(cnf_transformation,[],[f139]) ).
fof(f267,plain,
( ~ p1(sK82)
| ~ p1(sK83)
| ~ sP8 ),
inference(cnf_transformation,[],[f139]) ).
fof(f268,plain,
! [X3] :
( p1(X3)
| ~ q1(X3)
| ~ sP7 ),
inference(cnf_transformation,[],[f142]) ).
fof(f269,plain,
! [X2] :
( p1(X2)
| q1(X2)
| ~ sP7 ),
inference(cnf_transformation,[],[f142]) ).
fof(f272,plain,
( ~ p1(sK84)
| ~ p1(sK85)
| ~ sP7 ),
inference(cnf_transformation,[],[f142]) ).
fof(f273,plain,
! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7)
| ~ sP6 ),
inference(cnf_transformation,[],[f145]) ).
fof(f274,plain,
! [X5] :
( p1(X5)
| ~ s1(X5)
| ~ sP6 ),
inference(cnf_transformation,[],[f145]) ).
fof(f275,plain,
( r(sK87,sK88)
| ~ sP6 ),
inference(cnf_transformation,[],[f145]) ).
fof(f276,plain,
( s1(sK87)
| ~ sP6 ),
inference(cnf_transformation,[],[f145]) ).
fof(f278,plain,
! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4)
| ~ sP6 ),
inference(cnf_transformation,[],[f145]) ).
fof(f279,plain,
! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7)
| ~ sP5 ),
inference(cnf_transformation,[],[f148]) ).
fof(f280,plain,
! [X5] :
( p1(X5)
| ~ s1(X5)
| ~ sP5 ),
inference(cnf_transformation,[],[f148]) ).
fof(f281,plain,
( r(sK90,sK91)
| ~ sP5 ),
inference(cnf_transformation,[],[f148]) ).
fof(f282,plain,
( s1(sK90)
| ~ sP5 ),
inference(cnf_transformation,[],[f148]) ).
fof(f284,plain,
! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4)
| ~ sP5 ),
inference(cnf_transformation,[],[f148]) ).
fof(f285,plain,
( p1(sK92)
| ~ sP4 ),
inference(cnf_transformation,[],[f151]) ).
fof(f287,plain,
! [X0] :
( ~ p1(X0)
| b0
| q0
| ~ sP4 ),
inference(cnf_transformation,[],[f151]) ).
fof(f288,plain,
! [X0] :
( ~ p1(X0)
| b0
| ~ q0
| ~ sP4 ),
inference(cnf_transformation,[],[f151]) ).
fof(f289,plain,
! [X0] :
( ~ p1(X0)
| ~ b0
| q0
| ~ sP4 ),
inference(cnf_transformation,[],[f151]) ).
fof(f290,plain,
! [X0] :
( ~ p1(X0)
| ~ b0
| ~ q0
| ~ sP4 ),
inference(cnf_transformation,[],[f151]) ).
fof(f292,plain,
! [X2,X0] :
( p(X2,sK93(X0))
| p(X0,X2)
| ~ sP3 ),
inference(cnf_transformation,[],[f154]) ).
fof(f294,plain,
! [X2,X3,X0] :
( ~ p(X3,X2)
| p(X2,X0)
| ~ sP3 ),
inference(cnf_transformation,[],[f154]) ).
fof(f296,plain,
! [X2,X3,X0] :
( ~ p(X3,X2)
| ~ p(X2,sK93(X0))
| ~ sP3 ),
inference(cnf_transformation,[],[f154]) ).
fof(f297,plain,
! [X2,X3,X5] :
( a_member_of(X5,X3)
| ~ a_member_of(X5,X2)
| ~ eq(X2,X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f298,plain,
! [X2,X3,X5] :
( a_member_of(X5,X2)
| ~ a_member_of(X5,X3)
| ~ eq(X2,X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f299,plain,
! [X2,X3] :
( eq(X2,X3)
| a_member_of(sK96(X2,X3),X3)
| a_member_of(sK96(X2,X3),X2)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f300,plain,
! [X2,X3] :
( eq(X2,X3)
| ~ a_member_of(sK96(X2,X3),X3)
| ~ a_member_of(sK96(X2,X3),X2)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f301,plain,
( eq(sK94,sK95)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f302,plain,
( ~ eq(sK95,sK94)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f303,plain,
! [X5] :
( p1(X5)
| ~ s(sK97,X5)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f304,plain,
! [X2] :
( g(X2)
| c(f(X2))
| ~ e(X2)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f305,plain,
! [X1] :
( g(X1)
| s(X1,f(X1))
| ~ e(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f306,plain,
( e(sK97)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f307,plain,
( p1(sK97)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f308,plain,
! [X4] :
( ~ p1(X4)
| ~ c(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f309,plain,
! [X3] :
( ~ p1(X3)
| ~ g(X3)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f310,plain,
( s1(sK98)
| ~ sP0 ),
inference(cnf_transformation,[],[f163]) ).
fof(f311,plain,
! [X2,X3] :
( p(X2,X3)
| ~ s1(sK98)
| ~ sP0 ),
inference(cnf_transformation,[],[f163]) ).
fof(f318,plain,
( ~ p(sK98,sK99)
| ~ sP0 ),
inference(cnf_transformation,[],[f163]) ).
fof(f319,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(cnf_transformation,[],[f166]) ).
fof(f320,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(cnf_transformation,[],[f166]) ).
fof(f325,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(cnf_transformation,[],[f166]) ).
fof(f326,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(cnf_transformation,[],[f166]) ).
fof(f328,definition,
( spl103_1
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl103_1])],[avatar_definition]) ).
fof(f332,definition,
( spl103_2
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl103_2])],[avatar_definition]) ).
fof(f336,definition,
( spl103_3
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl103_3])],[avatar_definition]) ).
fof(f340,definition,
( spl103_4
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl103_4])],[avatar_definition]) ).
fof(f344,definition,
( spl103_5
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl103_5])],[avatar_definition]) ).
fof(f348,definition,
( spl103_6
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl103_6])],[avatar_definition]) ).
fof(f352,definition,
( spl103_7
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl103_7])],[avatar_definition]) ).
fof(f356,definition,
( spl103_8
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl103_8])],[avatar_definition]) ).
fof(f360,definition,
( spl103_9
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl103_9])],[avatar_definition]) ).
fof(f364,definition,
( spl103_10
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl103_10])],[avatar_definition]) ).
fof(f368,definition,
( spl103_11
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl103_11])],[avatar_definition]) ).
fof(f372,definition,
( spl103_12
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl103_12])],[avatar_definition]) ).
fof(f376,definition,
( spl103_13
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl103_13])],[avatar_definition]) ).
fof(f380,definition,
( spl103_14
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl103_14])],[avatar_definition]) ).
fof(f384,definition,
( spl103_15
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl103_15])],[avatar_definition]) ).
fof(f388,definition,
( spl103_16
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl103_16])],[avatar_definition]) ).
fof(f392,definition,
( spl103_17
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl103_17])],[avatar_definition]) ).
fof(f396,definition,
( spl103_18
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl103_18])],[avatar_definition]) ).
fof(f400,definition,
( spl103_19
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl103_19])],[avatar_definition]) ).
fof(f404,definition,
( spl103_20
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl103_20])],[avatar_definition]) ).
fof(f408,definition,
( spl103_21
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl103_21])],[avatar_definition]) ).
fof(f412,definition,
( spl103_22
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl103_22])],[avatar_definition]) ).
fof(f416,definition,
( spl103_23
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl103_23])],[avatar_definition]) ).
fof(f420,definition,
( spl103_24
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl103_24])],[avatar_definition]) ).
fof(f424,definition,
( spl103_25
<=> ! [X6] :
( ~ a(X6,X6)
| ~ a(X6,sK102) ) ),
introduced(definition,[new_symbols(definition,[spl103_25])],[avatar_definition]) ).
fof(f425,plain,
( ! [X6] :
( ~ a(X6,X6)
| ~ a(X6,sK102) )
| ~ spl103_25 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,definition,
( spl103_26
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl103_26])],[avatar_definition]) ).
fof(f431,definition,
( spl103_27
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl103_27])],[avatar_definition]) ).
fof(f435,definition,
( spl103_28
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl103_28])],[avatar_definition]) ).
fof(f439,definition,
( spl103_29
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl103_29])],[avatar_definition]) ).
fof(f443,definition,
( spl103_30
<=> ! [X4] : p1(X4) ),
introduced(definition,[new_symbols(definition,[spl103_30])],[avatar_definition]) ).
fof(f444,plain,
( ! [X4] : p1(X4)
| ~ spl103_30 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f446,definition,
( spl103_31
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl103_31])],[avatar_definition]) ).
fof(f450,definition,
( spl103_32
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl103_32])],[avatar_definition]) ).
fof(f454,definition,
( spl103_33
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl103_33])],[avatar_definition]) ).
fof(f458,definition,
( spl103_34
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl103_34])],[avatar_definition]) ).
fof(f462,definition,
( spl103_35
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl103_35])],[avatar_definition]) ).
fof(f466,definition,
( spl103_36
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl103_36])],[avatar_definition]) ).
fof(f470,definition,
( spl103_37
<=> sP6 ),
introduced(definition,[new_symbols(definition,[spl103_37])],[avatar_definition]) ).
fof(f474,definition,
( spl103_38
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl103_38])],[avatar_definition]) ).
fof(f478,definition,
( spl103_39
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl103_39])],[avatar_definition]) ).
fof(f482,definition,
( spl103_40
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl103_40])],[avatar_definition]) ).
fof(f486,definition,
( spl103_41
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl103_41])],[avatar_definition]) ).
fof(f490,definition,
( spl103_42
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl103_42])],[avatar_definition]) ).
fof(f493,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_25
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_30
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_30
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42 ),
inference(avatar_split_clause,[],[f319,f490,f486,f482,f478,f474,f470,f443,f466,f462,f458,f454,f450,f446,f443,f439,f435,f431,f427,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328]) ).
fof(f495,definition,
( spl103_43
<=> ! [X6] :
( a(X6,sK102)
| a(X6,X6) ) ),
introduced(definition,[new_symbols(definition,[spl103_43])],[avatar_definition]) ).
fof(f496,plain,
( ! [X6] :
( a(X6,sK102)
| a(X6,X6) )
| ~ spl103_43 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f497,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_43
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_30
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_30
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42 ),
inference(avatar_split_clause,[],[f320,f490,f486,f482,f478,f474,f470,f443,f466,f462,f458,f454,f450,f446,f443,f439,f435,f431,f427,f495,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328]) ).
fof(f499,definition,
( spl103_44
<=> ! [X3] : ~ p1(X3) ),
introduced(definition,[new_symbols(definition,[spl103_44])],[avatar_definition]) ).
fof(f500,plain,
( ! [X3] : ~ p1(X3)
| ~ spl103_44 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f504,definition,
( spl103_45
<=> p1(sK101) ),
introduced(definition,[new_symbols(definition,[spl103_45])],[avatar_definition]) ).
fof(f506,plain,
( ~ p1(sK101)
| spl103_45 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f508,definition,
( spl103_46
<=> p1(sK100) ),
introduced(definition,[new_symbols(definition,[spl103_46])],[avatar_definition]) ).
fof(f510,plain,
( ~ p1(sK100)
| spl103_46 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f513,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_25
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_44
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| ~ spl103_45
| ~ spl103_46
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42 ),
inference(avatar_split_clause,[],[f325,f490,f486,f482,f478,f474,f470,f508,f504,f466,f462,f458,f454,f450,f446,f499,f439,f435,f431,f427,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328]) ).
fof(f514,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_43
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_44
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| ~ spl103_45
| ~ spl103_46
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42 ),
inference(avatar_split_clause,[],[f326,f490,f486,f482,f478,f474,f470,f508,f504,f466,f462,f458,f454,f450,f446,f499,f439,f435,f431,f427,f495,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328]) ).
fof(f516,definition,
( spl103_47
<=> s1(sK98) ),
introduced(definition,[new_symbols(definition,[spl103_47])],[avatar_definition]) ).
fof(f519,plain,
( ~ spl103_3
| spl103_47 ),
inference(avatar_split_clause,[],[f310,f516,f336]) ).
fof(f521,definition,
( spl103_48
<=> ! [X2,X3] : p(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl103_48])],[avatar_definition]) ).
fof(f522,plain,
( ! [X2,X3] : p(X2,X3)
| ~ spl103_48 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( ~ spl103_3
| ~ spl103_47
| spl103_48 ),
inference(avatar_split_clause,[],[f311,f521,f516,f336]) ).
fof(f553,definition,
( spl103_55
<=> p(sK98,sK99) ),
introduced(definition,[new_symbols(definition,[spl103_55])],[avatar_definition]) ).
fof(f555,plain,
( ~ p(sK98,sK99)
| spl103_55 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f556,plain,
( ~ spl103_3
| ~ spl103_55 ),
inference(avatar_split_clause,[],[f318,f553,f336]) ).
fof(f558,definition,
( spl103_56
<=> ! [X5] :
( p1(X5)
| ~ s(sK97,X5) ) ),
introduced(definition,[new_symbols(definition,[spl103_56])],[avatar_definition]) ).
fof(f559,plain,
( ! [X5] :
( ~ s(sK97,X5)
| p1(X5) )
| ~ spl103_56 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( ~ spl103_38
| spl103_56 ),
inference(avatar_split_clause,[],[f303,f558,f474]) ).
fof(f562,definition,
( spl103_57
<=> ! [X2] :
( g(X2)
| ~ e(X2)
| c(f(X2)) ) ),
introduced(definition,[new_symbols(definition,[spl103_57])],[avatar_definition]) ).
fof(f563,plain,
( ! [X2] :
( ~ e(X2)
| g(X2)
| c(f(X2)) )
| ~ spl103_57 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f564,plain,
( ~ spl103_38
| spl103_57 ),
inference(avatar_split_clause,[],[f304,f562,f474]) ).
fof(f566,definition,
( spl103_58
<=> ! [X1] :
( g(X1)
| ~ e(X1)
| s(X1,f(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl103_58])],[avatar_definition]) ).
fof(f567,plain,
( ! [X1] :
( ~ e(X1)
| g(X1)
| s(X1,f(X1)) )
| ~ spl103_58 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f568,plain,
( ~ spl103_38
| spl103_58 ),
inference(avatar_split_clause,[],[f305,f566,f474]) ).
fof(f570,definition,
( spl103_59
<=> e(sK97) ),
introduced(definition,[new_symbols(definition,[spl103_59])],[avatar_definition]) ).
fof(f572,plain,
( e(sK97)
| ~ spl103_59 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f573,plain,
( ~ spl103_38
| spl103_59 ),
inference(avatar_split_clause,[],[f306,f570,f474]) ).
fof(f575,definition,
( spl103_60
<=> p1(sK97) ),
introduced(definition,[new_symbols(definition,[spl103_60])],[avatar_definition]) ).
fof(f577,plain,
( p1(sK97)
| ~ spl103_60 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( ~ spl103_38
| spl103_60 ),
inference(avatar_split_clause,[],[f307,f575,f474]) ).
fof(f580,definition,
( spl103_61
<=> ! [X4] :
( ~ p1(X4)
| ~ c(X4) ) ),
introduced(definition,[new_symbols(definition,[spl103_61])],[avatar_definition]) ).
fof(f581,plain,
( ! [X4] :
( ~ c(X4)
| ~ p1(X4) )
| ~ spl103_61 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f582,plain,
( ~ spl103_38
| spl103_61 ),
inference(avatar_split_clause,[],[f308,f580,f474]) ).
fof(f584,definition,
( spl103_62
<=> ! [X3] :
( ~ p1(X3)
| ~ g(X3) ) ),
introduced(definition,[new_symbols(definition,[spl103_62])],[avatar_definition]) ).
fof(f585,plain,
( ! [X3] :
( ~ g(X3)
| ~ p1(X3) )
| ~ spl103_62 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f586,plain,
( ~ spl103_38
| spl103_62 ),
inference(avatar_split_clause,[],[f309,f584,f474]) ).
fof(f588,definition,
( spl103_63
<=> ! [X2,X5,X3] :
( a_member_of(X5,X3)
| ~ eq(X2,X3)
| ~ a_member_of(X5,X2) ) ),
introduced(definition,[new_symbols(definition,[spl103_63])],[avatar_definition]) ).
fof(f589,plain,
( ! [X2,X3,X5] :
( ~ a_member_of(X5,X2)
| ~ eq(X2,X3)
| a_member_of(X5,X3) )
| ~ spl103_63 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f590,plain,
( ~ spl103_16
| spl103_63 ),
inference(avatar_split_clause,[],[f297,f588,f388]) ).
fof(f592,definition,
( spl103_64
<=> ! [X2,X5,X3] :
( a_member_of(X5,X2)
| ~ eq(X2,X3)
| ~ a_member_of(X5,X3) ) ),
introduced(definition,[new_symbols(definition,[spl103_64])],[avatar_definition]) ).
fof(f593,plain,
( ! [X2,X3,X5] :
( ~ a_member_of(X5,X3)
| ~ eq(X2,X3)
| a_member_of(X5,X2) )
| ~ spl103_64 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f594,plain,
( ~ spl103_16
| spl103_64 ),
inference(avatar_split_clause,[],[f298,f592,f388]) ).
fof(f596,definition,
( spl103_65
<=> ! [X2,X3] :
( eq(X2,X3)
| a_member_of(sK96(X2,X3),X2)
| a_member_of(sK96(X2,X3),X3) ) ),
introduced(definition,[new_symbols(definition,[spl103_65])],[avatar_definition]) ).
fof(f597,plain,
( ! [X2,X3] :
( a_member_of(sK96(X2,X3),X2)
| a_member_of(sK96(X2,X3),X3)
| eq(X2,X3) )
| ~ spl103_65 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f598,plain,
( ~ spl103_16
| spl103_65 ),
inference(avatar_split_clause,[],[f299,f596,f388]) ).
fof(f600,definition,
( spl103_66
<=> ! [X2,X3] :
( eq(X2,X3)
| ~ a_member_of(sK96(X2,X3),X2)
| ~ a_member_of(sK96(X2,X3),X3) ) ),
introduced(definition,[new_symbols(definition,[spl103_66])],[avatar_definition]) ).
fof(f601,plain,
( ! [X2,X3] :
( ~ a_member_of(sK96(X2,X3),X2)
| eq(X2,X3)
| ~ a_member_of(sK96(X2,X3),X3) )
| ~ spl103_66 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f602,plain,
( ~ spl103_16
| spl103_66 ),
inference(avatar_split_clause,[],[f300,f600,f388]) ).
fof(f604,definition,
( spl103_67
<=> eq(sK94,sK95) ),
introduced(definition,[new_symbols(definition,[spl103_67])],[avatar_definition]) ).
fof(f606,plain,
( eq(sK94,sK95)
| ~ spl103_67 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f607,plain,
( ~ spl103_16
| spl103_67 ),
inference(avatar_split_clause,[],[f301,f604,f388]) ).
fof(f609,definition,
( spl103_68
<=> eq(sK95,sK94) ),
introduced(definition,[new_symbols(definition,[spl103_68])],[avatar_definition]) ).
fof(f611,plain,
( ~ eq(sK95,sK94)
| spl103_68 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
( ~ spl103_16
| ~ spl103_68 ),
inference(avatar_split_clause,[],[f302,f609,f388]) ).
fof(f618,definition,
( spl103_70
<=> ! [X2,X0] :
( p(X2,sK93(X0))
| p(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl103_70])],[avatar_definition]) ).
fof(f619,plain,
( ! [X2,X0] :
( p(X2,sK93(X0))
| p(X0,X2) )
| ~ spl103_70 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f620,plain,
( ~ spl103_17
| spl103_70 ),
inference(avatar_split_clause,[],[f292,f618,f392]) ).
fof(f622,definition,
( spl103_71
<=> ! [X2,X0,X3] :
( ~ p(X3,X2)
| p(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl103_71])],[avatar_definition]) ).
fof(f623,plain,
( ! [X2,X3,X0] :
( ~ p(X3,X2)
| p(X2,X0) )
| ~ spl103_71 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( ~ spl103_17
| spl103_71 ),
inference(avatar_split_clause,[],[f294,f622,f392]) ).
fof(f630,definition,
( spl103_73
<=> ! [X2,X0,X3] :
( ~ p(X3,X2)
| ~ p(X2,sK93(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl103_73])],[avatar_definition]) ).
fof(f631,plain,
( ! [X2,X3,X0] :
( ~ p(X3,X2)
| ~ p(X2,sK93(X0)) )
| ~ spl103_73 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f632,plain,
( ~ spl103_17
| spl103_73 ),
inference(avatar_split_clause,[],[f296,f630,f392]) ).
fof(f634,definition,
( spl103_74
<=> p1(sK92) ),
introduced(definition,[new_symbols(definition,[spl103_74])],[avatar_definition]) ).
fof(f636,plain,
( p1(sK92)
| ~ spl103_74 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,plain,
( ~ spl103_31
| spl103_74 ),
inference(avatar_split_clause,[],[f285,f634,f446]) ).
fof(f639,definition,
( spl103_75
<=> a0 ),
introduced(definition,[new_symbols(definition,[spl103_75])],[avatar_definition]) ).
fof(f644,definition,
( spl103_76
<=> q0 ),
introduced(definition,[new_symbols(definition,[spl103_76])],[avatar_definition]) ).
fof(f648,definition,
( spl103_77
<=> b0 ),
introduced(definition,[new_symbols(definition,[spl103_77])],[avatar_definition]) ).
fof(f651,plain,
( ~ spl103_31
| spl103_76
| spl103_77
| spl103_44 ),
inference(avatar_split_clause,[],[f287,f499,f648,f644,f446]) ).
fof(f652,plain,
( ~ spl103_31
| ~ spl103_76
| spl103_77
| spl103_44 ),
inference(avatar_split_clause,[],[f288,f499,f648,f644,f446]) ).
fof(f653,plain,
( ~ spl103_31
| spl103_76
| ~ spl103_77
| spl103_44 ),
inference(avatar_split_clause,[],[f289,f499,f648,f644,f446]) ).
fof(f654,plain,
( ~ spl103_31
| ~ spl103_76
| ~ spl103_77
| spl103_44 ),
inference(avatar_split_clause,[],[f290,f499,f648,f644,f446]) ).
fof(f656,definition,
( spl103_78
<=> ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) ) ),
introduced(definition,[new_symbols(definition,[spl103_78])],[avatar_definition]) ).
fof(f657,plain,
( ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
| ~ spl103_78 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( ~ spl103_33
| spl103_78 ),
inference(avatar_split_clause,[],[f279,f656,f454]) ).
fof(f660,definition,
( spl103_79
<=> ! [X5] :
( p1(X5)
| ~ s1(X5) ) ),
introduced(definition,[new_symbols(definition,[spl103_79])],[avatar_definition]) ).
fof(f661,plain,
( ! [X5] :
( ~ s1(X5)
| p1(X5) )
| ~ spl103_79 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f662,plain,
( ~ spl103_33
| spl103_79 ),
inference(avatar_split_clause,[],[f280,f660,f454]) ).
fof(f664,definition,
( spl103_80
<=> r(sK90,sK91) ),
introduced(definition,[new_symbols(definition,[spl103_80])],[avatar_definition]) ).
fof(f666,plain,
( r(sK90,sK91)
| ~ spl103_80 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f667,plain,
( ~ spl103_33
| spl103_80 ),
inference(avatar_split_clause,[],[f281,f664,f454]) ).
fof(f669,definition,
( spl103_81
<=> s1(sK90) ),
introduced(definition,[new_symbols(definition,[spl103_81])],[avatar_definition]) ).
fof(f671,plain,
( s1(sK90)
| ~ spl103_81 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f672,plain,
( ~ spl103_33
| spl103_81 ),
inference(avatar_split_clause,[],[f282,f669,f454]) ).
fof(f679,definition,
( spl103_83
<=> ! [X4,X3] :
( ~ p1(X3)
| ~ q(X3,X4) ) ),
introduced(definition,[new_symbols(definition,[spl103_83])],[avatar_definition]) ).
fof(f680,plain,
( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
| ~ spl103_83 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( ~ spl103_33
| spl103_83 ),
inference(avatar_split_clause,[],[f284,f679,f454]) ).
fof(f682,plain,
( ~ spl103_37
| spl103_78 ),
inference(avatar_split_clause,[],[f273,f656,f470]) ).
fof(f683,plain,
( ~ spl103_37
| spl103_79 ),
inference(avatar_split_clause,[],[f274,f660,f470]) ).
fof(f685,definition,
( spl103_84
<=> r(sK87,sK88) ),
introduced(definition,[new_symbols(definition,[spl103_84])],[avatar_definition]) ).
fof(f687,plain,
( r(sK87,sK88)
| ~ spl103_84 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f688,plain,
( ~ spl103_37
| spl103_84 ),
inference(avatar_split_clause,[],[f275,f685,f470]) ).
fof(f690,definition,
( spl103_85
<=> s1(sK87) ),
introduced(definition,[new_symbols(definition,[spl103_85])],[avatar_definition]) ).
fof(f692,plain,
( s1(sK87)
| ~ spl103_85 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f693,plain,
( ~ spl103_37
| spl103_85 ),
inference(avatar_split_clause,[],[f276,f690,f470]) ).
fof(f699,plain,
( ~ spl103_37
| spl103_83 ),
inference(avatar_split_clause,[],[f278,f679,f470]) ).
fof(f701,definition,
( spl103_87
<=> ! [X3] :
( p1(X3)
| ~ q1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl103_87])],[avatar_definition]) ).
fof(f702,plain,
( ! [X3] :
( p1(X3)
| ~ q1(X3) )
| ~ spl103_87 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f703,plain,
( ~ spl103_15
| spl103_87 ),
inference(avatar_split_clause,[],[f268,f701,f384]) ).
fof(f705,definition,
( spl103_88
<=> ! [X2] :
( p1(X2)
| q1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl103_88])],[avatar_definition]) ).
fof(f706,plain,
( ! [X2] :
( p1(X2)
| q1(X2) )
| ~ spl103_88 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f707,plain,
( ~ spl103_15
| spl103_88 ),
inference(avatar_split_clause,[],[f269,f705,f384]) ).
fof(f709,definition,
( spl103_89
<=> p1(sK85) ),
introduced(definition,[new_symbols(definition,[spl103_89])],[avatar_definition]) ).
fof(f711,plain,
( ~ p1(sK85)
| spl103_89 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f714,definition,
( spl103_90
<=> ! [X2] : q1(X2) ),
introduced(definition,[new_symbols(definition,[spl103_90])],[avatar_definition]) ).
fof(f715,plain,
( ! [X2] : q1(X2)
| ~ spl103_90 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f717,definition,
( spl103_91
<=> p1(sK84) ),
introduced(definition,[new_symbols(definition,[spl103_91])],[avatar_definition]) ).
fof(f719,plain,
( ~ p1(sK84)
| spl103_91 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f721,plain,
( ~ spl103_15
| ~ spl103_89
| ~ spl103_91 ),
inference(avatar_split_clause,[],[f272,f717,f709,f384]) ).
fof(f722,plain,
( ~ spl103_28
| spl103_87 ),
inference(avatar_split_clause,[],[f263,f701,f435]) ).
fof(f723,plain,
( ~ spl103_28
| spl103_88 ),
inference(avatar_split_clause,[],[f264,f705,f435]) ).
fof(f725,definition,
( spl103_92
<=> p1(sK83) ),
introduced(definition,[new_symbols(definition,[spl103_92])],[avatar_definition]) ).
fof(f727,plain,
( ~ p1(sK83)
| spl103_92 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f730,definition,
( spl103_93
<=> p1(sK82) ),
introduced(definition,[new_symbols(definition,[spl103_93])],[avatar_definition]) ).
fof(f732,plain,
( ~ p1(sK82)
| spl103_93 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f734,plain,
( ~ spl103_28
| ~ spl103_92
| ~ spl103_93 ),
inference(avatar_split_clause,[],[f267,f730,f725,f435]) ).
fof(f735,plain,
( ~ spl103_32
| spl103_87 ),
inference(avatar_split_clause,[],[f258,f701,f450]) ).
fof(f736,plain,
( ~ spl103_32
| spl103_88 ),
inference(avatar_split_clause,[],[f259,f705,f450]) ).
fof(f738,definition,
( spl103_94
<=> p1(sK81) ),
introduced(definition,[new_symbols(definition,[spl103_94])],[avatar_definition]) ).
fof(f740,plain,
( ~ p1(sK81)
| spl103_94 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f743,definition,
( spl103_95
<=> p1(sK80) ),
introduced(definition,[new_symbols(definition,[spl103_95])],[avatar_definition]) ).
fof(f745,plain,
( ~ p1(sK80)
| spl103_95 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f747,plain,
( ~ spl103_32
| ~ spl103_94
| ~ spl103_95 ),
inference(avatar_split_clause,[],[f262,f743,f738,f450]) ).
fof(f749,definition,
( spl103_96
<=> ! [X4] : q1(f(X4)) ),
introduced(definition,[new_symbols(definition,[spl103_96])],[avatar_definition]) ).
fof(f750,plain,
( ! [X4] : q1(f(X4))
| ~ spl103_96 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f751,plain,
( ~ spl103_42
| spl103_96 ),
inference(avatar_split_clause,[],[f253,f749,f490]) ).
fof(f753,definition,
( spl103_97
<=> ! [X2] : ~ q1(X2) ),
introduced(definition,[new_symbols(definition,[spl103_97])],[avatar_definition]) ).
fof(f754,plain,
( ! [X2] : ~ q1(X2)
| ~ spl103_97 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,definition,
( spl103_98
<=> ! [X3] :
( p1(f(X3))
| r1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl103_98])],[avatar_definition]) ).
fof(f757,plain,
( ! [X3] :
( r1(X3)
| p1(f(X3)) )
| ~ spl103_98 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( ~ spl103_42
| spl103_97
| spl103_98 ),
inference(avatar_split_clause,[],[f254,f756,f753,f490]) ).
fof(f760,definition,
( spl103_99
<=> r1(sK78) ),
introduced(definition,[new_symbols(definition,[spl103_99])],[avatar_definition]) ).
fof(f762,plain,
( ~ r1(sK78)
| spl103_99 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f764,definition,
( spl103_100
<=> r1(sK79) ),
introduced(definition,[new_symbols(definition,[spl103_100])],[avatar_definition]) ).
fof(f766,plain,
( ~ r1(sK79)
| spl103_100 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f768,definition,
( spl103_101
<=> ! [X3] : p1(f(X3)) ),
introduced(definition,[new_symbols(definition,[spl103_101])],[avatar_definition]) ).
fof(f769,plain,
( ! [X3] : p1(f(X3))
| ~ spl103_101 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f770,plain,
( ~ spl103_42
| spl103_97
| ~ spl103_99
| ~ spl103_100
| spl103_101 ),
inference(avatar_split_clause,[],[f255,f768,f764,f760,f753,f490]) ).
fof(f772,definition,
( spl103_102
<=> ! [X3] : r1(X3) ),
introduced(definition,[new_symbols(definition,[spl103_102])],[avatar_definition]) ).
fof(f773,plain,
( ! [X3] : r1(X3)
| ~ spl103_102 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f775,definition,
( spl103_103
<=> ! [X2] :
( ~ p1(X2)
| ~ q1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl103_103])],[avatar_definition]) ).
fof(f776,plain,
( ! [X2] :
( ~ p1(X2)
| ~ q1(X2) )
| ~ spl103_103 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f777,plain,
( ~ spl103_42
| spl103_102
| spl103_103 ),
inference(avatar_split_clause,[],[f256,f775,f772,f490]) ).
fof(f778,plain,
( ~ spl103_42
| ~ spl103_99
| ~ spl103_100
| spl103_103 ),
inference(avatar_split_clause,[],[f257,f775,f764,f760,f490]) ).
fof(f780,definition,
( spl103_104
<=> q1(sK77) ),
introduced(definition,[new_symbols(definition,[spl103_104])],[avatar_definition]) ).
fof(f782,plain,
( ~ q1(sK77)
| spl103_104 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f784,definition,
( spl103_105
<=> r1(sK77) ),
introduced(definition,[new_symbols(definition,[spl103_105])],[avatar_definition]) ).
fof(f786,plain,
( r1(sK77)
| ~ spl103_105 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f787,plain,
( ~ spl103_1
| ~ spl103_104
| spl103_105 ),
inference(avatar_split_clause,[],[f249,f784,f780,f328]) ).
fof(f789,definition,
( spl103_106
<=> ! [X1] :
( q1(X1)
| ~ p1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl103_106])],[avatar_definition]) ).
fof(f790,plain,
( ! [X1] :
( ~ p1(X1)
| q1(X1) )
| ~ spl103_106 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f791,plain,
( ~ spl103_1
| spl103_106 ),
inference(avatar_split_clause,[],[f250,f789,f328]) ).
fof(f792,plain,
( ~ spl103_1
| spl103_30 ),
inference(avatar_split_clause,[],[f251,f443,f328]) ).
fof(f794,definition,
( spl103_107
<=> ! [X0] : ~ r1(X0) ),
introduced(definition,[new_symbols(definition,[spl103_107])],[avatar_definition]) ).
fof(f795,plain,
( ! [X0] : ~ r1(X0)
| ~ spl103_107 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f796,plain,
( ~ spl103_1
| spl103_107 ),
inference(avatar_split_clause,[],[f252,f794,f328]) ).
fof(f798,definition,
( spl103_108
<=> r1(sK76) ),
introduced(definition,[new_symbols(definition,[spl103_108])],[avatar_definition]) ).
fof(f800,plain,
( r1(sK76)
| ~ spl103_108 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f802,definition,
( spl103_109
<=> ! [X3] : p(f(X3),X3) ),
introduced(definition,[new_symbols(definition,[spl103_109])],[avatar_definition]) ).
fof(f803,plain,
( ! [X3] : p(f(X3),X3)
| ~ spl103_109 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( ~ spl103_2
| spl103_108
| spl103_109 ),
inference(avatar_split_clause,[],[f245,f802,f798,f332]) ).
fof(f806,definition,
( spl103_110
<=> ! [X3] :
( p(f(X3),X3)
| ~ r1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl103_110])],[avatar_definition]) ).
fof(f807,plain,
( ! [X3] :
( ~ r1(X3)
| p(f(X3),X3) )
| ~ spl103_110 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f808,plain,
( ~ spl103_2
| spl103_110 ),
inference(avatar_split_clause,[],[f246,f806,f332]) ).
fof(f810,definition,
( spl103_111
<=> q(f(sK76),sK76) ),
introduced(definition,[new_symbols(definition,[spl103_111])],[avatar_definition]) ).
fof(f812,plain,
( q(f(sK76),sK76)
| ~ spl103_111 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f814,definition,
( spl103_112
<=> ! [X2,X1] : ~ p(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl103_112])],[avatar_definition]) ).
fof(f815,plain,
( ! [X2,X1] : ~ p(X1,X2)
| ~ spl103_112 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f816,plain,
( ~ spl103_2
| spl103_111
| spl103_112 ),
inference(avatar_split_clause,[],[f247,f814,f810,f332]) ).
fof(f818,definition,
( spl103_113
<=> ! [X2,X1] :
( ~ p(X1,X2)
| ~ q(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl103_113])],[avatar_definition]) ).
fof(f819,plain,
( ! [X2,X1] :
( ~ p(X1,X2)
| ~ q(X1,X2) )
| ~ spl103_113 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f820,plain,
( ~ spl103_2
| spl103_113 ),
inference(avatar_split_clause,[],[f248,f818,f332]) ).
fof(f821,plain,
( ~ spl103_4
| spl103_77 ),
inference(avatar_split_clause,[],[f241,f648,f340]) ).
fof(f822,plain,
( ~ spl103_4
| spl103_75 ),
inference(avatar_split_clause,[],[f242,f639,f340]) ).
fof(f824,plain,
( ~ spl103_4
| ~ spl103_75
| ~ spl103_77 ),
inference(avatar_split_clause,[],[f244,f648,f639,f340]) ).
fof(f825,plain,
( ~ spl103_5
| ~ spl103_77 ),
inference(avatar_split_clause,[],[f237,f648,f344]) ).
fof(f826,plain,
( ~ spl103_5
| ~ spl103_75 ),
inference(avatar_split_clause,[],[f238,f639,f344]) ).
fof(f827,plain,
( ~ spl103_5
| spl103_75
| spl103_77 ),
inference(avatar_split_clause,[],[f239,f648,f639,f344]) ).
fof(f830,definition,
( spl103_114
<=> r1(sK75) ),
introduced(definition,[new_symbols(definition,[spl103_114])],[avatar_definition]) ).
fof(f832,plain,
( r1(sK75)
| ~ spl103_114 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f833,plain,
( ~ spl103_13
| spl103_114 ),
inference(avatar_split_clause,[],[f233,f830,f376]) ).
fof(f834,plain,
( ~ spl103_13
| spl103_106 ),
inference(avatar_split_clause,[],[f234,f789,f376]) ).
fof(f836,definition,
( spl103_115
<=> ! [X1] :
( p1(X1)
| ~ r1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl103_115])],[avatar_definition]) ).
fof(f837,plain,
( ! [X1] :
( ~ r1(X1)
| p1(X1) )
| ~ spl103_115 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f838,plain,
( ~ spl103_13
| spl103_115 ),
inference(avatar_split_clause,[],[f235,f836,f376]) ).
fof(f840,definition,
( spl103_116
<=> q1(sK75) ),
introduced(definition,[new_symbols(definition,[spl103_116])],[avatar_definition]) ).
fof(f842,plain,
( ~ q1(sK75)
| spl103_116 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f843,plain,
( ~ spl103_13
| ~ spl103_116 ),
inference(avatar_split_clause,[],[f236,f840,f376]) ).
fof(f848,plain,
( ~ spl103_35
| spl103_30 ),
inference(avatar_split_clause,[],[f230,f443,f462]) ).
fof(f851,definition,
( spl103_118
<=> ! [X0] : ~ p1(sK73(X0)) ),
introduced(definition,[new_symbols(definition,[spl103_118])],[avatar_definition]) ).
fof(f852,plain,
( ! [X0] : ~ p1(sK73(X0))
| ~ spl103_118 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f853,plain,
( ~ spl103_35
| spl103_118 ),
inference(avatar_split_clause,[],[f232,f851,f462]) ).
fof(f859,plain,
( ~ spl103_36
| spl103_30 ),
inference(avatar_split_clause,[],[f226,f443,f466]) ).
fof(f862,definition,
( spl103_120
<=> ! [X0] : ~ p1(sK71(X0)) ),
introduced(definition,[new_symbols(definition,[spl103_120])],[avatar_definition]) ).
fof(f863,plain,
( ! [X0] : ~ p1(sK71(X0))
| ~ spl103_120 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f864,plain,
( ~ spl103_36
| spl103_120 ),
inference(avatar_split_clause,[],[f228,f862,f466]) ).
fof(f866,definition,
( spl103_121
<=> a1(sK70) ),
introduced(definition,[new_symbols(definition,[spl103_121])],[avatar_definition]) ).
fof(f868,plain,
( a1(sK70)
| ~ spl103_121 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f869,plain,
( ~ spl103_39
| spl103_121 ),
inference(avatar_split_clause,[],[f221,f866,f478]) ).
fof(f871,definition,
( spl103_122
<=> b(sK70) ),
introduced(definition,[new_symbols(definition,[spl103_122])],[avatar_definition]) ).
fof(f873,plain,
( ~ b(sK70)
| spl103_122 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f874,plain,
( ~ spl103_39
| ~ spl103_122 ),
inference(avatar_split_clause,[],[f222,f871,f478]) ).
fof(f876,definition,
( spl103_123
<=> ! [X1] :
( b(X1)
| ~ a1(X1)
| c(X1) ) ),
introduced(definition,[new_symbols(definition,[spl103_123])],[avatar_definition]) ).
fof(f877,plain,
( ! [X1] :
( ~ a1(X1)
| b(X1)
| c(X1) )
| ~ spl103_123 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f878,plain,
( ~ spl103_39
| spl103_123 ),
inference(avatar_split_clause,[],[f223,f876,f478]) ).
fof(f880,definition,
( spl103_124
<=> ! [X0] :
( ~ a1(X0)
| ~ c(X0) ) ),
introduced(definition,[new_symbols(definition,[spl103_124])],[avatar_definition]) ).
fof(f881,plain,
( ! [X0] :
( ~ c(X0)
| ~ a1(X0) )
| ~ spl103_124 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f882,plain,
( ~ spl103_39
| spl103_124 ),
inference(avatar_split_clause,[],[f224,f880,f478]) ).
fof(f884,definition,
( spl103_125
<=> q1(f(sK68)) ),
introduced(definition,[new_symbols(definition,[spl103_125])],[avatar_definition]) ).
fof(f885,plain,
( ~ q1(f(sK68))
| spl103_125 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f886,plain,
( q1(f(sK68))
| ~ spl103_125 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f887,plain,
( ~ spl103_40
| spl103_125 ),
inference(avatar_split_clause,[],[f217,f884,f482]) ).
fof(f888,plain,
( ~ spl103_40
| spl103_97
| spl103_101 ),
inference(avatar_split_clause,[],[f218,f768,f753,f482]) ).
fof(f889,plain,
( ~ spl103_40
| spl103_102
| spl103_103 ),
inference(avatar_split_clause,[],[f219,f775,f772,f482]) ).
fof(f891,definition,
( spl103_126
<=> r1(sK69) ),
introduced(definition,[new_symbols(definition,[spl103_126])],[avatar_definition]) ).
fof(f893,plain,
( ~ r1(sK69)
| spl103_126 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f895,definition,
( spl103_127
<=> r1(sK68) ),
introduced(definition,[new_symbols(definition,[spl103_127])],[avatar_definition]) ).
fof(f897,plain,
( ~ r1(sK68)
| spl103_127 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f898,plain,
( ~ spl103_40
| ~ spl103_126
| ~ spl103_127
| spl103_103 ),
inference(avatar_split_clause,[],[f220,f775,f895,f891,f482]) ).
fof(f899,plain,
( ~ spl103_41
| spl103_96 ),
inference(avatar_split_clause,[],[f213,f749,f486]) ).
fof(f900,plain,
( ~ spl103_41
| spl103_97
| spl103_101 ),
inference(avatar_split_clause,[],[f214,f768,f753,f486]) ).
fof(f901,plain,
( ~ spl103_41
| spl103_102
| spl103_103 ),
inference(avatar_split_clause,[],[f215,f775,f772,f486]) ).
fof(f903,definition,
( spl103_128
<=> r1(sK67) ),
introduced(definition,[new_symbols(definition,[spl103_128])],[avatar_definition]) ).
fof(f905,plain,
( ~ r1(sK67)
| spl103_128 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f907,definition,
( spl103_129
<=> r1(sK66) ),
introduced(definition,[new_symbols(definition,[spl103_129])],[avatar_definition]) ).
fof(f909,plain,
( ~ r1(sK66)
| spl103_129 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,plain,
( ~ spl103_41
| ~ spl103_128
| ~ spl103_129
| spl103_103 ),
inference(avatar_split_clause,[],[f216,f775,f907,f903,f486]) ).
fof(f911,plain,
( ~ spl103_6
| spl103_90 ),
inference(avatar_split_clause,[],[f210,f714,f348]) ).
fof(f914,definition,
( spl103_130
<=> q1(sK65) ),
introduced(definition,[new_symbols(definition,[spl103_130])],[avatar_definition]) ).
fof(f916,plain,
( ~ q1(sK65)
| spl103_130 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f917,plain,
( ~ spl103_6
| ~ spl103_130 ),
inference(avatar_split_clause,[],[f212,f914,f348]) ).
fof(f918,plain,
( ~ spl103_12
| spl103_44
| spl103_102 ),
inference(avatar_split_clause,[],[f207,f772,f499,f372]) ).
fof(f920,definition,
( spl103_131
<=> p1(sK63) ),
introduced(definition,[new_symbols(definition,[spl103_131])],[avatar_definition]) ).
fof(f922,plain,
( p1(sK63)
| ~ spl103_131 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f923,plain,
( ~ spl103_12
| spl103_131 ),
inference(avatar_split_clause,[],[f208,f920,f372]) ).
fof(f925,definition,
( spl103_132
<=> r1(sK64) ),
introduced(definition,[new_symbols(definition,[spl103_132])],[avatar_definition]) ).
fof(f927,plain,
( ~ r1(sK64)
| spl103_132 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f928,plain,
( ~ spl103_12
| ~ spl103_132 ),
inference(avatar_split_clause,[],[f209,f925,f372]) ).
fof(f930,definition,
( spl103_133
<=> b(sK62) ),
introduced(definition,[new_symbols(definition,[spl103_133])],[avatar_definition]) ).
fof(f932,plain,
( b(sK62)
| ~ spl103_133 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f933,plain,
( ~ spl103_23
| spl103_133 ),
inference(avatar_split_clause,[],[f204,f930,f416]) ).
fof(f935,definition,
( spl103_134
<=> ! [X0] : ~ b(X0) ),
introduced(definition,[new_symbols(definition,[spl103_134])],[avatar_definition]) ).
fof(f936,plain,
( ! [X0] : ~ b(X0)
| ~ spl103_134 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f937,plain,
( ~ spl103_23
| spl103_134 ),
inference(avatar_split_clause,[],[f205,f935,f416]) ).
fof(f939,definition,
( spl103_135
<=> ! [X0] : ~ a1(X0) ),
introduced(definition,[new_symbols(definition,[spl103_135])],[avatar_definition]) ).
fof(f940,plain,
( ! [X0] : ~ a1(X0)
| ~ spl103_135 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f943,definition,
( spl103_136
<=> ! [X2] : b(X2) ),
introduced(definition,[new_symbols(definition,[spl103_136])],[avatar_definition]) ).
fof(f944,plain,
( ! [X2] : b(X2)
| ~ spl103_136 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f945,plain,
( ~ spl103_24
| spl103_136 ),
inference(avatar_split_clause,[],[f201,f943,f420]) ).
fof(f947,definition,
( spl103_137
<=> a1(sK61) ),
introduced(definition,[new_symbols(definition,[spl103_137])],[avatar_definition]) ).
fof(f949,plain,
( a1(sK61)
| ~ spl103_137 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f950,plain,
( ~ spl103_24
| spl103_137 ),
inference(avatar_split_clause,[],[f202,f947,f420]) ).
fof(f952,definition,
( spl103_138
<=> ! [X0] :
( ~ a1(X0)
| ~ b(X0) ) ),
introduced(definition,[new_symbols(definition,[spl103_138])],[avatar_definition]) ).
fof(f953,plain,
( ! [X0] :
( ~ a1(X0)
| ~ b(X0) )
| ~ spl103_138 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f954,plain,
( ~ spl103_24
| spl103_138 ),
inference(avatar_split_clause,[],[f203,f952,f420]) ).
fof(f956,definition,
( spl103_139
<=> a1(sK60) ),
introduced(definition,[new_symbols(definition,[spl103_139])],[avatar_definition]) ).
fof(f958,plain,
( ~ a1(sK60)
| spl103_139 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f960,definition,
( spl103_140
<=> b(sK60) ),
introduced(definition,[new_symbols(definition,[spl103_140])],[avatar_definition]) ).
fof(f962,plain,
( b(sK60)
| ~ spl103_140 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f963,plain,
( ~ spl103_26
| ~ spl103_139
| spl103_140 ),
inference(avatar_split_clause,[],[f198,f960,f956,f427]) ).
fof(f965,definition,
( spl103_141
<=> ! [X1] : a1(X1) ),
introduced(definition,[new_symbols(definition,[spl103_141])],[avatar_definition]) ).
fof(f966,plain,
( ! [X1] : a1(X1)
| ~ spl103_141 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f967,plain,
( ~ spl103_26
| spl103_141 ),
inference(avatar_split_clause,[],[f199,f965,f427]) ).
fof(f968,plain,
( ~ spl103_26
| spl103_134 ),
inference(avatar_split_clause,[],[f200,f935,f427]) ).
fof(f970,definition,
( spl103_142
<=> ! [X2] :
( b(X2)
| ~ a1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl103_142])],[avatar_definition]) ).
fof(f971,plain,
( ! [X2] :
( ~ a1(X2)
| b(X2) )
| ~ spl103_142 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f972,plain,
( ~ spl103_27
| spl103_142 ),
inference(avatar_split_clause,[],[f195,f970,f431]) ).
fof(f974,definition,
( spl103_143
<=> a1(sK59) ),
introduced(definition,[new_symbols(definition,[spl103_143])],[avatar_definition]) ).
fof(f976,plain,
( a1(sK59)
| ~ spl103_143 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f977,plain,
( ~ spl103_27
| spl103_143 ),
inference(avatar_split_clause,[],[f196,f974,f431]) ).
fof(f978,plain,
( ~ spl103_27
| spl103_134 ),
inference(avatar_split_clause,[],[f197,f935,f431]) ).
fof(f979,plain,
( ~ spl103_29
| spl103_106 ),
inference(avatar_split_clause,[],[f192,f789,f439]) ).
fof(f980,plain,
( ~ spl103_29
| spl103_30 ),
inference(avatar_split_clause,[],[f193,f443,f439]) ).
fof(f982,definition,
( spl103_144
<=> q1(sK58) ),
introduced(definition,[new_symbols(definition,[spl103_144])],[avatar_definition]) ).
fof(f984,plain,
( ~ q1(sK58)
| spl103_144 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f985,plain,
( ~ spl103_29
| ~ spl103_144 ),
inference(avatar_split_clause,[],[f194,f982,f439]) ).
fof(f987,definition,
( spl103_145
<=> ! [X1] : a(sK57(X1),sK57(X1)) ),
introduced(definition,[new_symbols(definition,[spl103_145])],[avatar_definition]) ).
fof(f988,plain,
( ! [X1] : a(sK57(X1),sK57(X1))
| ~ spl103_145 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f989,plain,
( ~ spl103_34
| spl103_145 ),
inference(avatar_split_clause,[],[f189,f987,f458]) ).
fof(f995,definition,
( spl103_147
<=> ! [X0] : ~ a(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl103_147])],[avatar_definition]) ).
fof(f996,plain,
( ! [X0] : ~ a(X0,X0)
| ~ spl103_147 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f997,plain,
( ~ spl103_34
| spl103_147 ),
inference(avatar_split_clause,[],[f191,f995,f458]) ).
fof(f998,plain,
( ~ spl103_7
| spl103_48 ),
inference(avatar_split_clause,[],[f187,f521,f352]) ).
fof(f1000,definition,
( spl103_148
<=> p(sK56,sK56) ),
introduced(definition,[new_symbols(definition,[spl103_148])],[avatar_definition]) ).
fof(f1002,plain,
( ~ p(sK56,sK56)
| spl103_148 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1003,plain,
( ~ spl103_7
| ~ spl103_148 ),
inference(avatar_split_clause,[],[f188,f1000,f352]) ).
fof(f1005,definition,
( spl103_149
<=> p1(sK55) ),
introduced(definition,[new_symbols(definition,[spl103_149])],[avatar_definition]) ).
fof(f1007,plain,
( p1(sK55)
| ~ spl103_149 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1008,plain,
( ~ spl103_8
| spl103_149 ),
inference(avatar_split_clause,[],[f185,f1005,f356]) ).
fof(f1009,plain,
( ~ spl103_8
| spl103_44 ),
inference(avatar_split_clause,[],[f186,f499,f356]) ).
fof(f1011,definition,
( spl103_150
<=> p1(z) ),
introduced(definition,[new_symbols(definition,[spl103_150])],[avatar_definition]) ).
fof(f1014,plain,
( ~ spl103_9
| spl103_150 ),
inference(avatar_split_clause,[],[f183,f1011,f360]) ).
fof(f1015,plain,
( ~ spl103_9
| ~ spl103_150 ),
inference(avatar_split_clause,[],[f184,f1011,f360]) ).
fof(f1017,definition,
( spl103_151
<=> ! [X3] : p(sK54,X3) ),
introduced(definition,[new_symbols(definition,[spl103_151])],[avatar_definition]) ).
fof(f1018,plain,
( ! [X3] : p(sK54,X3)
| ~ spl103_151 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1019,plain,
( ~ spl103_10
| spl103_151 ),
inference(avatar_split_clause,[],[f181,f1017,f364]) ).
fof(f1021,definition,
( spl103_152
<=> ! [X1] : ~ p(X1,sK53) ),
introduced(definition,[new_symbols(definition,[spl103_152])],[avatar_definition]) ).
fof(f1022,plain,
( ! [X1] : ~ p(X1,sK53)
| ~ spl103_152 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1023,plain,
( ~ spl103_10
| spl103_152 ),
inference(avatar_split_clause,[],[f182,f1021,f364]) ).
fof(f1025,definition,
( spl103_153
<=> p1(sK52) ),
introduced(definition,[new_symbols(definition,[spl103_153])],[avatar_definition]) ).
fof(f1027,plain,
( p1(sK52)
| ~ spl103_153 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1028,plain,
( ~ spl103_11
| spl103_153 ),
inference(avatar_split_clause,[],[f179,f1025,f368]) ).
fof(f1029,plain,
( ~ spl103_11
| spl103_44 ),
inference(avatar_split_clause,[],[f180,f499,f368]) ).
fof(f1030,plain,
( ~ spl103_14
| spl103_30 ),
inference(avatar_split_clause,[],[f177,f443,f380]) ).
fof(f1032,definition,
( spl103_154
<=> ! [X0] : ~ p1(sK51(X0)) ),
introduced(definition,[new_symbols(definition,[spl103_154])],[avatar_definition]) ).
fof(f1033,plain,
( ! [X0] : ~ p1(sK51(X0))
| ~ spl103_154 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1034,plain,
( ~ spl103_14
| spl103_154 ),
inference(avatar_split_clause,[],[f178,f1032,f380]) ).
fof(f1036,definition,
( spl103_155
<=> p1(sK50) ),
introduced(definition,[new_symbols(definition,[spl103_155])],[avatar_definition]) ).
fof(f1038,plain,
( p1(sK50)
| ~ spl103_155 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1039,plain,
( ~ spl103_18
| spl103_155 ),
inference(avatar_split_clause,[],[f175,f1036,f396]) ).
fof(f1040,plain,
( ~ spl103_18
| spl103_44 ),
inference(avatar_split_clause,[],[f176,f499,f396]) ).
fof(f1042,definition,
( spl103_156
<=> p1(sK49) ),
introduced(definition,[new_symbols(definition,[spl103_156])],[avatar_definition]) ).
fof(f1044,plain,
( p1(sK49)
| ~ spl103_156 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1046,definition,
( spl103_157
<=> p1(sK48) ),
introduced(definition,[new_symbols(definition,[spl103_157])],[avatar_definition]) ).
fof(f1048,plain,
( p1(sK48)
| ~ spl103_157 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1049,plain,
( ~ spl103_19
| spl103_156
| spl103_157 ),
inference(avatar_split_clause,[],[f173,f1046,f1042,f400]) ).
fof(f1050,plain,
( ~ spl103_19
| spl103_44
| spl103_44 ),
inference(avatar_split_clause,[],[f174,f499,f499,f400]) ).
fof(f1051,plain,
( ~ spl103_20
| spl103_30 ),
inference(avatar_split_clause,[],[f171,f443,f404]) ).
fof(f1053,definition,
( spl103_158
<=> p1(sK47) ),
introduced(definition,[new_symbols(definition,[spl103_158])],[avatar_definition]) ).
fof(f1055,plain,
( ~ p1(sK47)
| spl103_158 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1057,definition,
( spl103_159
<=> p1(sK46) ),
introduced(definition,[new_symbols(definition,[spl103_159])],[avatar_definition]) ).
fof(f1059,plain,
( ~ p1(sK46)
| spl103_159 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1060,plain,
( ~ spl103_20
| ~ spl103_158
| ~ spl103_159 ),
inference(avatar_split_clause,[],[f172,f1057,f1053,f404]) ).
fof(f1061,plain,
( ~ spl103_21
| spl103_30 ),
inference(avatar_split_clause,[],[f169,f443,f408]) ).
fof(f1063,definition,
( spl103_160
<=> p1(sK45) ),
introduced(definition,[new_symbols(definition,[spl103_160])],[avatar_definition]) ).
fof(f1065,plain,
( ~ p1(sK45)
| spl103_160 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1067,definition,
( spl103_161
<=> p1(sK44) ),
introduced(definition,[new_symbols(definition,[spl103_161])],[avatar_definition]) ).
fof(f1069,plain,
( ~ p1(sK44)
| spl103_161 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( ~ spl103_21
| ~ spl103_160
| ~ spl103_161 ),
inference(avatar_split_clause,[],[f170,f1067,f1063,f408]) ).
fof(f1072,definition,
( spl103_162
<=> a(sK42,sK43) ),
introduced(definition,[new_symbols(definition,[spl103_162])],[avatar_definition]) ).
fof(f1074,plain,
( a(sK42,sK43)
| ~ spl103_162 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1076,definition,
( spl103_163
<=> a(sK41,sK40) ),
introduced(definition,[new_symbols(definition,[spl103_163])],[avatar_definition]) ).
fof(f1078,plain,
( a(sK41,sK40)
| ~ spl103_163 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1079,plain,
( ~ spl103_22
| spl103_162
| spl103_163 ),
inference(avatar_split_clause,[],[f167,f1076,f1072,f412]) ).
fof(f1081,definition,
( spl103_164
<=> ! [X2,X3] : ~ a(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl103_164])],[avatar_definition]) ).
fof(f1082,plain,
( ! [X2,X3] : ~ a(X2,X3)
| ~ spl103_164 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1083,plain,
( ~ spl103_22
| spl103_164
| spl103_164 ),
inference(avatar_split_clause,[],[f168,f1081,f1081,f412]) ).
fof(f1084,plain,
( $false
| ~ spl103_30
| spl103_46 ),
inference(forward_subsumption_resolution,[],[f510,f444]) ).
fof(f1085,plain,
( ~ spl103_30
| spl103_46 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1086,plain,
( $false
| ~ spl103_30
| spl103_158 ),
inference(forward_subsumption_resolution,[],[f1055,f444]) ).
fof(f1087,plain,
( ~ spl103_30
| spl103_158 ),
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1088,plain,
( $false
| ~ spl103_30
| spl103_160 ),
inference(forward_subsumption_resolution,[],[f1065,f444]) ).
fof(f1089,plain,
( ~ spl103_30
| spl103_160 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
fof(f1090,plain,
( $false
| ~ spl103_30
| spl103_45 ),
inference(forward_subsumption_resolution,[],[f506,f444]) ).
fof(f1091,plain,
( ~ spl103_30
| spl103_45 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1092,plain,
( $false
| ~ spl103_30
| spl103_159 ),
inference(forward_subsumption_resolution,[],[f1059,f444]) ).
fof(f1093,plain,
( ~ spl103_30
| spl103_159 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1094,plain,
( $false
| ~ spl103_30
| spl103_161 ),
inference(forward_subsumption_resolution,[],[f1069,f444]) ).
fof(f1095,plain,
( ~ spl103_30
| spl103_161 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
fof(f1096,plain,
( $false
| ~ spl103_30
| ~ spl103_44 ),
inference(forward_subsumption_resolution,[],[f500,f444]) ).
fof(f1097,plain,
( ~ spl103_30
| ~ spl103_44 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1098,plain,
( $false
| ~ spl103_30
| spl103_91 ),
inference(forward_subsumption_resolution,[],[f719,f444]) ).
fof(f1099,plain,
( ~ spl103_30
| spl103_91 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1100,plain,
( $false
| ~ spl103_30
| spl103_89 ),
inference(forward_subsumption_resolution,[],[f711,f444]) ).
fof(f1101,plain,
( ~ spl103_30
| spl103_89 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1107,plain,
( $false
| ~ spl103_97
| ~ spl103_125 ),
inference(forward_subsumption_resolution,[],[f886,f754]) ).
fof(f1108,plain,
( ~ spl103_97
| ~ spl103_125 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1110,plain,
( $false
| ~ spl103_102
| spl103_127 ),
inference(forward_subsumption_resolution,[],[f897,f773]) ).
fof(f1111,plain,
( ~ spl103_102
| spl103_127 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1112,plain,
( $false
| ~ spl103_102
| spl103_126 ),
inference(forward_subsumption_resolution,[],[f893,f773]) ).
fof(f1113,plain,
( ~ spl103_102
| spl103_126 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1114,plain,
( $false
| ~ spl103_109
| ~ spl103_112 ),
inference(resolution,[],[f803,f815]) ).
fof(f1115,plain,
( ~ spl103_109
| ~ spl103_112 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1116,plain,
( ! [X0] : ~ q(f(X0),X0)
| ~ spl103_109
| ~ spl103_113 ),
inference(resolution,[],[f819,f803]) ).
fof(f1117,plain,
( $false
| ~ spl103_109
| ~ spl103_111
| ~ spl103_113 ),
inference(resolution,[],[f1116,f812]) ).
fof(f1118,plain,
( ~ spl103_109
| ~ spl103_111
| ~ spl103_113 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1119,plain,
( ! [X3] : ~ r1(X3)
| ~ spl103_110
| ~ spl103_112 ),
inference(forward_subsumption_resolution,[],[f807,f815]) ).
fof(f1122,plain,
( spl103_107
| ~ spl103_110
| ~ spl103_112 ),
inference(avatar_split_clause,[],[f1119,f814,f806,f794]) ).
fof(f1123,plain,
( $false
| ~ spl103_107
| ~ spl103_108 ),
inference(resolution,[],[f800,f795]) ).
fof(f1124,plain,
( ~ spl103_107
| ~ spl103_108 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1125,plain,
( p(f(sK76),sK76)
| ~ spl103_108
| ~ spl103_110 ),
inference(resolution,[],[f807,f800]) ).
fof(f1128,plain,
( ~ q(f(sK76),sK76)
| ~ spl103_108
| ~ spl103_110
| ~ spl103_113 ),
inference(resolution,[],[f1125,f819]) ).
fof(f1129,plain,
( $false
| ~ spl103_108
| ~ spl103_110
| ~ spl103_111
| ~ spl103_113 ),
inference(forward_subsumption_resolution,[],[f1128,f812]) ).
fof(f1130,plain,
( ~ spl103_108
| ~ spl103_110
| ~ spl103_111
| ~ spl103_113 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1131,plain,
( $false
| ~ spl103_30
| spl103_95 ),
inference(forward_subsumption_resolution,[],[f745,f444]) ).
fof(f1132,plain,
( ~ spl103_30
| spl103_95 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1133,plain,
( $false
| ~ spl103_30
| spl103_94 ),
inference(forward_subsumption_resolution,[],[f740,f444]) ).
fof(f1134,plain,
( ~ spl103_30
| spl103_94 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1135,plain,
( $false
| ~ spl103_90
| spl103_130 ),
inference(forward_subsumption_resolution,[],[f916,f715]) ).
fof(f1136,plain,
( ~ spl103_90
| spl103_130 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1137,plain,
( ! [X1] : q1(X1)
| ~ spl103_30
| ~ spl103_106 ),
inference(forward_subsumption_resolution,[],[f790,f444]) ).
fof(f1138,plain,
( spl103_90
| ~ spl103_30
| ~ spl103_106 ),
inference(avatar_split_clause,[],[f1137,f789,f443,f714]) ).
fof(f1140,plain,
( q(sK90,sK91)
| ~ spl103_78
| ~ spl103_80 ),
inference(resolution,[],[f657,f666]) ).
fof(f1143,plain,
( ! [X2,X3] : ~ p(X3,X2)
| ~ spl103_71
| ~ spl103_73 ),
inference(forward_subsumption_resolution,[],[f631,f623]) ).
fof(f1144,plain,
( spl103_112
| ~ spl103_71
| ~ spl103_73 ),
inference(avatar_split_clause,[],[f1143,f630,f622,f814]) ).
fof(f1145,plain,
( $false
| ~ spl103_30
| spl103_93 ),
inference(forward_subsumption_resolution,[],[f732,f444]) ).
fof(f1146,plain,
( ~ spl103_30
| spl103_93 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1147,plain,
( ! [X0] : ~ a1(X0)
| ~ spl103_136
| ~ spl103_138 ),
inference(forward_subsumption_resolution,[],[f953,f944]) ).
fof(f1148,plain,
( spl103_135
| ~ spl103_136
| ~ spl103_138 ),
inference(avatar_split_clause,[],[f1147,f952,f943,f939]) ).
fof(f1149,plain,
( $false
| ~ spl103_135
| ~ spl103_137 ),
inference(resolution,[],[f949,f940]) ).
fof(f1150,plain,
( ~ spl103_135
| ~ spl103_137 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1152,plain,
( $false
| ~ spl103_145
| ~ spl103_147 ),
inference(resolution,[],[f988,f996]) ).
fof(f1153,plain,
( ~ spl103_145
| ~ spl103_147 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1184,plain,
( ! [X2,X0,X1] :
( ~ eq(X2,X0)
| eq(X0,X1)
| a_member_of(sK96(X0,X1),X1)
| a_member_of(sK96(X0,X1),X2) )
| ~ spl103_64
| ~ spl103_65 ),
inference(resolution,[],[f597,f593]) ).
fof(f1196,plain,
( ! [X0] :
( a_member_of(sK96(sK95,X0),X0)
| a_member_of(sK96(sK95,X0),sK94)
| eq(sK95,X0) )
| ~ spl103_64
| ~ spl103_65
| ~ spl103_67 ),
inference(resolution,[],[f1184,f606]) ).
fof(f1211,plain,
( a_member_of(sK96(sK95,sK94),sK94)
| eq(sK95,sK94)
| ~ spl103_64
| ~ spl103_65
| ~ spl103_67 ),
inference(factoring,[],[f1196]) ).
fof(f1213,plain,
( a_member_of(sK96(sK95,sK94),sK94)
| ~ spl103_64
| ~ spl103_65
| ~ spl103_67
| spl103_68 ),
inference(forward_subsumption_resolution,[],[f1211,f611]) ).
fof(f1217,plain,
( ! [X0] :
( ~ eq(sK94,X0)
| a_member_of(sK96(sK95,sK94),X0) )
| ~ spl103_63
| ~ spl103_64
| ~ spl103_65
| ~ spl103_67
| spl103_68 ),
inference(resolution,[],[f1213,f589]) ).
fof(f1231,plain,
( a_member_of(sK96(sK95,sK94),sK95)
| ~ spl103_63
| ~ spl103_64
| ~ spl103_65
| ~ spl103_67
| spl103_68 ),
inference(resolution,[],[f1217,f606]) ).
fof(f1241,plain,
( eq(sK95,sK94)
| ~ a_member_of(sK96(sK95,sK94),sK94)
| ~ spl103_63
| ~ spl103_64
| ~ spl103_65
| ~ spl103_66
| ~ spl103_67
| spl103_68 ),
inference(resolution,[],[f1231,f601]) ).
fof(f1244,plain,
( ~ a_member_of(sK96(sK95,sK94),sK94)
| ~ spl103_63
| ~ spl103_64
| ~ spl103_65
| ~ spl103_66
| ~ spl103_67
| spl103_68 ),
inference(forward_subsumption_resolution,[],[f1241,f611]) ).
fof(f1245,plain,
( $false
| ~ spl103_63
| ~ spl103_64
| ~ spl103_65
| ~ spl103_66
| ~ spl103_67
| spl103_68 ),
inference(forward_subsumption_resolution,[],[f1244,f1213]) ).
fof(f1246,plain,
( ~ spl103_63
| ~ spl103_64
| ~ spl103_65
| ~ spl103_66
| ~ spl103_67
| spl103_68 ),
inference(avatar_contradiction_clause,[],[f1245]) ).
fof(f1253,plain,
( q(sK87,sK88)
| ~ spl103_78
| ~ spl103_84 ),
inference(resolution,[],[f687,f657]) ).
fof(f1258,plain,
( g(sK97)
| c(f(sK97))
| ~ spl103_57
| ~ spl103_59 ),
inference(resolution,[],[f563,f572]) ).
fof(f1262,plain,
( $false
| ~ spl103_48
| spl103_148 ),
inference(forward_subsumption_resolution,[],[f1002,f522]) ).
fof(f1263,plain,
( ~ spl103_48
| spl103_148 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1265,plain,
( $false
| ~ spl103_30
| ~ spl103_154 ),
inference(forward_subsumption_resolution,[],[f1033,f444]) ).
fof(f1266,plain,
( ~ spl103_30
| ~ spl103_154 ),
inference(avatar_contradiction_clause,[],[f1265]) ).
fof(f1269,plain,
( a(sK102,sK102)
| ~ spl103_43 ),
inference(factoring,[],[f496]) ).
fof(f1270,plain,
( ~ a(sK102,sK102)
| ~ spl103_25
| ~ spl103_43 ),
inference(resolution,[],[f1269,f425]) ).
fof(f1271,plain,
( $false
| ~ spl103_25
| ~ spl103_43 ),
inference(forward_subsumption_resolution,[],[f1270,f1269]) ).
fof(f1272,plain,
( ~ spl103_25
| ~ spl103_43 ),
inference(avatar_contradiction_clause,[],[f1271]) ).
fof(f1275,plain,
( $false
| ~ spl103_48
| spl103_55 ),
inference(forward_subsumption_resolution,[],[f555,f522]) ).
fof(f1276,plain,
( ~ spl103_48
| spl103_55 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1280,plain,
( $false
| ~ spl103_163
| ~ spl103_164 ),
inference(resolution,[],[f1082,f1078]) ).
fof(f1288,plain,
( ~ spl103_163
| ~ spl103_164 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1297,plain,
( $false
| ~ spl103_102
| spl103_132 ),
inference(forward_subsumption_resolution,[],[f927,f773]) ).
fof(f1298,plain,
( ~ spl103_102
| spl103_132 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1313,plain,
( $false
| spl103_139
| ~ spl103_141 ),
inference(resolution,[],[f966,f958]) ).
fof(f1314,plain,
( spl103_139
| ~ spl103_141 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1317,plain,
( $false
| ~ spl103_134
| ~ spl103_140 ),
inference(forward_subsumption_resolution,[],[f962,f936]) ).
fof(f1318,plain,
( ~ spl103_134
| ~ spl103_140 ),
inference(avatar_contradiction_clause,[],[f1317]) ).
fof(f1319,plain,
( $false
| ~ spl103_90
| spl103_144 ),
inference(resolution,[],[f715,f984]) ).
fof(f1320,plain,
( ~ spl103_90
| spl103_144 ),
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1321,plain,
( $false
| ~ spl103_90
| spl103_104 ),
inference(forward_subsumption_resolution,[],[f782,f715]) ).
fof(f1322,plain,
( ~ spl103_90
| spl103_104 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1341,plain,
( $false
| ~ spl103_151
| ~ spl103_152 ),
inference(resolution,[],[f1022,f1018]) ).
fof(f1342,plain,
( ~ spl103_151
| ~ spl103_152 ),
inference(avatar_contradiction_clause,[],[f1341]) ).
fof(f1349,definition,
( spl103_165
<=> c(f(sK97)) ),
introduced(definition,[new_symbols(definition,[spl103_165])],[avatar_definition]) ).
fof(f1351,plain,
( c(f(sK97))
| ~ spl103_165 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1353,definition,
( spl103_166
<=> g(sK97) ),
introduced(definition,[new_symbols(definition,[spl103_166])],[avatar_definition]) ).
fof(f1355,plain,
( g(sK97)
| ~ spl103_166 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1356,plain,
( spl103_165
| spl103_166
| ~ spl103_57
| ~ spl103_59 ),
inference(avatar_split_clause,[],[f1258,f570,f562,f1353,f1349]) ).
fof(f1362,plain,
( ! [X1] :
( b(X1)
| ~ a1(X1) )
| ~ spl103_123
| ~ spl103_124 ),
inference(forward_subsumption_resolution,[],[f877,f881]) ).
fof(f1363,plain,
( spl103_142
| ~ spl103_123
| ~ spl103_124 ),
inference(avatar_split_clause,[],[f1362,f880,f876,f970]) ).
fof(f1369,plain,
( b(sK59)
| ~ spl103_142
| ~ spl103_143 ),
inference(resolution,[],[f971,f976]) ).
fof(f1372,plain,
( b(sK70)
| ~ spl103_121
| ~ spl103_142 ),
inference(resolution,[],[f971,f868]) ).
fof(f1373,plain,
( $false
| ~ spl103_121
| spl103_122
| ~ spl103_142 ),
inference(forward_subsumption_resolution,[],[f1372,f873]) ).
fof(f1374,plain,
( ~ spl103_121
| spl103_122
| ~ spl103_142 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1377,plain,
( $false
| ~ spl103_102
| spl103_129 ),
inference(forward_subsumption_resolution,[],[f909,f773]) ).
fof(f1378,plain,
( ~ spl103_102
| spl103_129 ),
inference(avatar_contradiction_clause,[],[f1377]) ).
fof(f1379,plain,
( $false
| ~ spl103_102
| spl103_128 ),
inference(forward_subsumption_resolution,[],[f905,f773]) ).
fof(f1380,plain,
( ~ spl103_102
| spl103_128 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1387,plain,
( $false
| ~ spl103_96
| ~ spl103_97 ),
inference(forward_subsumption_resolution,[],[f750,f754]) ).
fof(f1388,plain,
( ~ spl103_96
| ~ spl103_97 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1393,plain,
( $false
| ~ spl103_133
| ~ spl103_134 ),
inference(resolution,[],[f936,f932]) ).
fof(f1394,plain,
( ~ spl103_133
| ~ spl103_134 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1397,plain,
( $false
| ~ spl103_134
| ~ spl103_142
| ~ spl103_143 ),
inference(forward_subsumption_resolution,[],[f1369,f936]) ).
fof(f1398,plain,
( ~ spl103_134
| ~ spl103_142
| ~ spl103_143 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1399,plain,
( $false
| ~ spl103_162
| ~ spl103_164 ),
inference(resolution,[],[f1082,f1074]) ).
fof(f1400,plain,
( ~ spl103_162
| ~ spl103_164 ),
inference(avatar_contradiction_clause,[],[f1399]) ).
fof(f1403,plain,
( $false
| ~ spl103_30
| ~ spl103_118 ),
inference(forward_subsumption_resolution,[],[f852,f444]) ).
fof(f1404,plain,
( ~ spl103_30
| ~ spl103_118 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1411,plain,
( $false
| ~ spl103_30
| spl103_92 ),
inference(forward_subsumption_resolution,[],[f727,f444]) ).
fof(f1412,plain,
( ~ spl103_30
| spl103_92 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1419,plain,
( $false
| ~ spl103_30
| ~ spl103_120 ),
inference(forward_subsumption_resolution,[],[f863,f444]) ).
fof(f1420,plain,
( ~ spl103_30
| ~ spl103_120 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1421,plain,
( $false
| ~ spl103_105
| ~ spl103_107 ),
inference(forward_subsumption_resolution,[],[f786,f795]) ).
fof(f1422,plain,
( ~ spl103_105
| ~ spl103_107 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1429,plain,
( $false
| spl103_100
| ~ spl103_102 ),
inference(resolution,[],[f773,f766]) ).
fof(f1430,plain,
( spl103_100
| ~ spl103_102 ),
inference(avatar_contradiction_clause,[],[f1429]) ).
fof(f1431,plain,
( $false
| spl103_99
| ~ spl103_102 ),
inference(forward_subsumption_resolution,[],[f762,f773]) ).
fof(f1432,plain,
( spl103_99
| ~ spl103_102 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1435,plain,
( ! [X0,X1] : p(X1,X0)
| ~ spl103_70
| ~ spl103_112 ),
inference(resolution,[],[f815,f619]) ).
fof(f1441,plain,
( $false
| ~ spl103_70
| ~ spl103_112 ),
inference(forward_subsumption_resolution,[],[f1435,f815]) ).
fof(f1442,plain,
( ~ spl103_70
| ~ spl103_112 ),
inference(avatar_contradiction_clause,[],[f1441]) ).
fof(f1455,plain,
( p1(sK87)
| ~ spl103_79
| ~ spl103_85 ),
inference(resolution,[],[f661,f692]) ).
fof(f1457,plain,
( p1(sK90)
| ~ spl103_79
| ~ spl103_81 ),
inference(resolution,[],[f661,f671]) ).
fof(f1460,plain,
( ! [X0] : ~ q1(f(X0))
| ~ spl103_101
| ~ spl103_103 ),
inference(resolution,[],[f776,f769]) ).
fof(f1525,plain,
( ! [X0] : ~ q(sK87,X0)
| ~ spl103_79
| ~ spl103_83
| ~ spl103_85 ),
inference(resolution,[],[f680,f1455]) ).
fof(f1527,plain,
( ! [X0] : ~ q(sK90,X0)
| ~ spl103_79
| ~ spl103_81
| ~ spl103_83 ),
inference(resolution,[],[f680,f1457]) ).
fof(f1532,plain,
( g(sK97)
| s(sK97,f(sK97))
| ~ spl103_58
| ~ spl103_59 ),
inference(resolution,[],[f567,f572]) ).
fof(f1534,definition,
( spl103_167
<=> s(sK97,f(sK97)) ),
introduced(definition,[new_symbols(definition,[spl103_167])],[avatar_definition]) ).
fof(f1536,plain,
( s(sK97,f(sK97))
| ~ spl103_167 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1541,plain,
( $false
| ~ spl103_78
| ~ spl103_79
| ~ spl103_80
| ~ spl103_81
| ~ spl103_83 ),
inference(resolution,[],[f1527,f1140]) ).
fof(f1542,plain,
( ~ spl103_78
| ~ spl103_79
| ~ spl103_80
| ~ spl103_81
| ~ spl103_83 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
fof(f1573,plain,
( spl103_167
| spl103_166
| ~ spl103_58
| ~ spl103_59 ),
inference(avatar_split_clause,[],[f1532,f570,f566,f1353,f1534]) ).
fof(f1581,plain,
( ~ p1(f(sK97))
| ~ spl103_61
| ~ spl103_165 ),
inference(resolution,[],[f581,f1351]) ).
fof(f1584,plain,
( ~ p1(sK97)
| ~ spl103_62
| ~ spl103_166 ),
inference(resolution,[],[f585,f1355]) ).
fof(f1585,plain,
( $false
| ~ spl103_60
| ~ spl103_62
| ~ spl103_166 ),
inference(forward_subsumption_resolution,[],[f1584,f577]) ).
fof(f1586,plain,
( ~ spl103_60
| ~ spl103_62
| ~ spl103_166 ),
inference(avatar_contradiction_clause,[],[f1585]) ).
fof(f1588,plain,
( p1(f(sK97))
| ~ spl103_56
| ~ spl103_167 ),
inference(resolution,[],[f1536,f559]) ).
fof(f1589,plain,
( $false
| ~ spl103_56
| ~ spl103_61
| ~ spl103_165
| ~ spl103_167 ),
inference(forward_subsumption_resolution,[],[f1588,f1581]) ).
fof(f1590,plain,
( ~ spl103_56
| ~ spl103_61
| ~ spl103_165
| ~ spl103_167 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1591,plain,
( $false
| ~ spl103_78
| ~ spl103_79
| ~ spl103_83
| ~ spl103_84
| ~ spl103_85 ),
inference(forward_subsumption_resolution,[],[f1253,f1525]) ).
fof(f1592,plain,
( ~ spl103_78
| ~ spl103_79
| ~ spl103_83
| ~ spl103_84
| ~ spl103_85 ),
inference(avatar_contradiction_clause,[],[f1591]) ).
fof(f1593,plain,
( $false
| ~ spl103_44
| ~ spl103_153 ),
inference(forward_subsumption_resolution,[],[f1027,f500]) ).
fof(f1594,plain,
( ~ spl103_44
| ~ spl103_153 ),
inference(avatar_contradiction_clause,[],[f1593]) ).
fof(f1595,plain,
( $false
| ~ spl103_44
| ~ spl103_149 ),
inference(forward_subsumption_resolution,[],[f1007,f500]) ).
fof(f1596,plain,
( ~ spl103_44
| ~ spl103_149 ),
inference(avatar_contradiction_clause,[],[f1595]) ).
fof(f1597,plain,
( $false
| ~ spl103_44
| ~ spl103_156 ),
inference(forward_subsumption_resolution,[],[f1044,f500]) ).
fof(f1598,plain,
( ~ spl103_44
| ~ spl103_156 ),
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1599,plain,
( $false
| ~ spl103_44
| ~ spl103_157 ),
inference(forward_subsumption_resolution,[],[f1048,f500]) ).
fof(f1600,plain,
( ~ spl103_44
| ~ spl103_157 ),
inference(avatar_contradiction_clause,[],[f1599]) ).
fof(f1601,plain,
( $false
| ~ spl103_44
| ~ spl103_155 ),
inference(forward_subsumption_resolution,[],[f1038,f500]) ).
fof(f1602,plain,
( ~ spl103_44
| ~ spl103_155 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1603,plain,
( $false
| ~ spl103_44
| ~ spl103_74 ),
inference(forward_subsumption_resolution,[],[f636,f500]) ).
fof(f1604,plain,
( ~ spl103_44
| ~ spl103_74 ),
inference(avatar_contradiction_clause,[],[f1603]) ).
fof(f1612,plain,
( $false
| ~ spl103_44
| ~ spl103_131 ),
inference(resolution,[],[f500,f922]) ).
fof(f1631,plain,
( ~ spl103_44
| ~ spl103_131 ),
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1638,plain,
( $false
| ~ spl103_96
| spl103_125 ),
inference(forward_subsumption_resolution,[],[f885,f750]) ).
fof(f1639,plain,
( ~ spl103_96
| spl103_125 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1651,plain,
( p1(f(sK78))
| ~ spl103_98
| spl103_99 ),
inference(resolution,[],[f757,f762]) ).
fof(f1655,plain,
( ~ q1(f(sK78))
| ~ spl103_98
| spl103_99
| ~ spl103_103 ),
inference(resolution,[],[f1651,f776]) ).
fof(f1656,plain,
( $false
| ~ spl103_96
| ~ spl103_98
| spl103_99
| ~ spl103_103 ),
inference(forward_subsumption_resolution,[],[f1655,f750]) ).
fof(f1657,plain,
( ~ spl103_96
| ~ spl103_98
| spl103_99
| ~ spl103_103 ),
inference(avatar_contradiction_clause,[],[f1656]) ).
fof(f1658,plain,
( p1(f(sK79))
| ~ spl103_98
| spl103_100 ),
inference(resolution,[],[f766,f757]) ).
fof(f1660,plain,
( ~ q1(f(sK79))
| ~ spl103_98
| spl103_100
| ~ spl103_103 ),
inference(resolution,[],[f1658,f776]) ).
fof(f1661,plain,
( $false
| ~ spl103_96
| ~ spl103_98
| spl103_100
| ~ spl103_103 ),
inference(forward_subsumption_resolution,[],[f1660,f750]) ).
fof(f1662,plain,
( ~ spl103_96
| ~ spl103_98
| spl103_100
| ~ spl103_103 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1663,plain,
( $false
| ~ spl103_101
| ~ spl103_103
| ~ spl103_125 ),
inference(forward_subsumption_resolution,[],[f886,f1460]) ).
fof(f1664,plain,
( ~ spl103_101
| ~ spl103_103
| ~ spl103_125 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1684,plain,
( p1(sK75)
| ~ spl103_114
| ~ spl103_115 ),
inference(resolution,[],[f837,f832]) ).
fof(f1725,plain,
( q1(sK75)
| ~ spl103_106
| ~ spl103_114
| ~ spl103_115 ),
inference(resolution,[],[f1684,f790]) ).
fof(f1727,plain,
( $false
| ~ spl103_106
| ~ spl103_114
| ~ spl103_115
| spl103_116 ),
inference(forward_subsumption_resolution,[],[f1725,f842]) ).
fof(f1728,plain,
( ~ spl103_106
| ~ spl103_114
| ~ spl103_115
| spl103_116 ),
inference(avatar_contradiction_clause,[],[f1727]) ).
fof(f1729,plain,
( ! [X2] : p1(X2)
| ~ spl103_87
| ~ spl103_88 ),
inference(forward_subsumption_resolution,[],[f706,f702]) ).
fof(f1730,plain,
( spl103_30
| ~ spl103_87
| ~ spl103_88 ),
inference(avatar_split_clause,[],[f1729,f705,f701,f443]) ).
cnf(s1,plain,
( spl103_30
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_25
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_1
| spl103_30
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42 ),
inference(sat_conversion,[],[f493]) ).
cnf(s2,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_25
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_30
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl103_30
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_1
| spl103_30
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42
| spl103_43 ),
inference(sat_conversion,[],[f497]) ).
cnf(s4,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_30
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42
| spl103_43 ),
inference(rat,[],[s3]) ).
cnf(s9,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_25
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42
| spl103_44
| ~ spl103_45
| ~ spl103_46 ),
inference(sat_conversion,[],[f513]) ).
cnf(s10,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_31
| spl103_32
| spl103_33
| spl103_34
| spl103_35
| spl103_36
| spl103_37
| spl103_38
| spl103_39
| spl103_40
| spl103_41
| spl103_42
| spl103_43
| spl103_44
| ~ spl103_45
| ~ spl103_46 ),
inference(sat_conversion,[],[f514]) ).
cnf(s11,plain,
( ~ spl103_3
| spl103_47 ),
inference(sat_conversion,[],[f519]) ).
cnf(s12,plain,
( ~ spl103_3
| ~ spl103_47
| spl103_48 ),
inference(sat_conversion,[],[f523]) ).
cnf(s19,plain,
( ~ spl103_3
| ~ spl103_55 ),
inference(sat_conversion,[],[f556]) ).
cnf(s20,plain,
( ~ spl103_38
| spl103_56 ),
inference(sat_conversion,[],[f560]) ).
cnf(s21,plain,
( ~ spl103_38
| spl103_57 ),
inference(sat_conversion,[],[f564]) ).
cnf(s22,plain,
( ~ spl103_38
| spl103_58 ),
inference(sat_conversion,[],[f568]) ).
cnf(s23,plain,
( ~ spl103_38
| spl103_59 ),
inference(sat_conversion,[],[f573]) ).
cnf(s24,plain,
( ~ spl103_38
| spl103_60 ),
inference(sat_conversion,[],[f578]) ).
cnf(s25,plain,
( ~ spl103_38
| spl103_61 ),
inference(sat_conversion,[],[f582]) ).
cnf(s26,plain,
( ~ spl103_38
| spl103_62 ),
inference(sat_conversion,[],[f586]) ).
cnf(s27,plain,
( ~ spl103_16
| spl103_63 ),
inference(sat_conversion,[],[f590]) ).
cnf(s28,plain,
( ~ spl103_16
| spl103_64 ),
inference(sat_conversion,[],[f594]) ).
cnf(s29,plain,
( ~ spl103_16
| spl103_65 ),
inference(sat_conversion,[],[f598]) ).
cnf(s30,plain,
( ~ spl103_16
| spl103_66 ),
inference(sat_conversion,[],[f602]) ).
cnf(s31,plain,
( ~ spl103_16
| spl103_67 ),
inference(sat_conversion,[],[f607]) ).
cnf(s32,plain,
( ~ spl103_16
| ~ spl103_68 ),
inference(sat_conversion,[],[f612]) ).
cnf(s34,plain,
( ~ spl103_17
| spl103_70 ),
inference(sat_conversion,[],[f620]) ).
cnf(s35,plain,
( ~ spl103_17
| spl103_71 ),
inference(sat_conversion,[],[f624]) ).
cnf(s37,plain,
( ~ spl103_17
| spl103_73 ),
inference(sat_conversion,[],[f632]) ).
cnf(s38,plain,
( ~ spl103_31
| spl103_74 ),
inference(sat_conversion,[],[f637]) ).
cnf(s40,plain,
( ~ spl103_31
| spl103_44
| spl103_76
| spl103_77 ),
inference(sat_conversion,[],[f651]) ).
cnf(s41,plain,
( ~ spl103_31
| spl103_44
| ~ spl103_76
| spl103_77 ),
inference(sat_conversion,[],[f652]) ).
cnf(s42,plain,
( ~ spl103_31
| spl103_44
| spl103_76
| ~ spl103_77 ),
inference(sat_conversion,[],[f653]) ).
cnf(s43,plain,
( ~ spl103_31
| spl103_44
| ~ spl103_76
| ~ spl103_77 ),
inference(sat_conversion,[],[f654]) ).
cnf(s44,plain,
( ~ spl103_33
| spl103_78 ),
inference(sat_conversion,[],[f658]) ).
cnf(s45,plain,
( ~ spl103_33
| spl103_79 ),
inference(sat_conversion,[],[f662]) ).
cnf(s46,plain,
( ~ spl103_33
| spl103_80 ),
inference(sat_conversion,[],[f667]) ).
cnf(s47,plain,
( ~ spl103_33
| spl103_81 ),
inference(sat_conversion,[],[f672]) ).
cnf(s49,plain,
( ~ spl103_33
| spl103_83 ),
inference(sat_conversion,[],[f681]) ).
cnf(s50,plain,
( ~ spl103_37
| spl103_78 ),
inference(sat_conversion,[],[f682]) ).
cnf(s51,plain,
( ~ spl103_37
| spl103_79 ),
inference(sat_conversion,[],[f683]) ).
cnf(s52,plain,
( ~ spl103_37
| spl103_84 ),
inference(sat_conversion,[],[f688]) ).
cnf(s53,plain,
( ~ spl103_37
| spl103_85 ),
inference(sat_conversion,[],[f693]) ).
cnf(s55,plain,
( ~ spl103_37
| spl103_83 ),
inference(sat_conversion,[],[f699]) ).
cnf(s56,plain,
( ~ spl103_15
| spl103_87 ),
inference(sat_conversion,[],[f703]) ).
cnf(s57,plain,
( ~ spl103_15
| spl103_88 ),
inference(sat_conversion,[],[f707]) ).
cnf(s60,plain,
( ~ spl103_15
| ~ spl103_89
| ~ spl103_91 ),
inference(sat_conversion,[],[f721]) ).
cnf(s61,plain,
( ~ spl103_28
| spl103_87 ),
inference(sat_conversion,[],[f722]) ).
cnf(s62,plain,
( ~ spl103_28
| spl103_88 ),
inference(sat_conversion,[],[f723]) ).
cnf(s65,plain,
( ~ spl103_28
| ~ spl103_92
| ~ spl103_93 ),
inference(sat_conversion,[],[f734]) ).
cnf(s66,plain,
( ~ spl103_32
| spl103_87 ),
inference(sat_conversion,[],[f735]) ).
cnf(s67,plain,
( ~ spl103_32
| spl103_88 ),
inference(sat_conversion,[],[f736]) ).
cnf(s70,plain,
( ~ spl103_32
| ~ spl103_94
| ~ spl103_95 ),
inference(sat_conversion,[],[f747]) ).
cnf(s71,plain,
( ~ spl103_42
| spl103_96 ),
inference(sat_conversion,[],[f751]) ).
cnf(s72,plain,
( ~ spl103_42
| spl103_97
| spl103_98 ),
inference(sat_conversion,[],[f758]) ).
cnf(s73,plain,
( ~ spl103_42
| spl103_97
| ~ spl103_99
| ~ spl103_100
| spl103_101 ),
inference(sat_conversion,[],[f770]) ).
cnf(s74,plain,
( ~ spl103_42
| spl103_102
| spl103_103 ),
inference(sat_conversion,[],[f777]) ).
cnf(s75,plain,
( ~ spl103_42
| ~ spl103_99
| ~ spl103_100
| spl103_103 ),
inference(sat_conversion,[],[f778]) ).
cnf(s76,plain,
( ~ spl103_1
| ~ spl103_104
| spl103_105 ),
inference(sat_conversion,[],[f787]) ).
cnf(s77,plain,
( ~ spl103_1
| spl103_106 ),
inference(sat_conversion,[],[f791]) ).
cnf(s78,plain,
( ~ spl103_1
| spl103_30 ),
inference(sat_conversion,[],[f792]) ).
cnf(s79,plain,
( ~ spl103_1
| spl103_107 ),
inference(sat_conversion,[],[f796]) ).
cnf(s80,plain,
( ~ spl103_2
| spl103_108
| spl103_109 ),
inference(sat_conversion,[],[f804]) ).
cnf(s81,plain,
( ~ spl103_2
| spl103_110 ),
inference(sat_conversion,[],[f808]) ).
cnf(s82,plain,
( ~ spl103_2
| spl103_111
| spl103_112 ),
inference(sat_conversion,[],[f816]) ).
cnf(s83,plain,
( ~ spl103_2
| spl103_113 ),
inference(sat_conversion,[],[f820]) ).
cnf(s84,plain,
( ~ spl103_4
| spl103_77 ),
inference(sat_conversion,[],[f821]) ).
cnf(s85,plain,
( ~ spl103_4
| spl103_75 ),
inference(sat_conversion,[],[f822]) ).
cnf(s87,plain,
( ~ spl103_4
| ~ spl103_75
| ~ spl103_77 ),
inference(sat_conversion,[],[f824]) ).
cnf(s88,plain,
( ~ spl103_5
| ~ spl103_77 ),
inference(sat_conversion,[],[f825]) ).
cnf(s89,plain,
( ~ spl103_5
| ~ spl103_75 ),
inference(sat_conversion,[],[f826]) ).
cnf(s90,plain,
( ~ spl103_5
| spl103_75
| spl103_77 ),
inference(sat_conversion,[],[f827]) ).
cnf(s92,plain,
( ~ spl103_13
| spl103_114 ),
inference(sat_conversion,[],[f833]) ).
cnf(s93,plain,
( ~ spl103_13
| spl103_106 ),
inference(sat_conversion,[],[f834]) ).
cnf(s94,plain,
( ~ spl103_13
| spl103_115 ),
inference(sat_conversion,[],[f838]) ).
cnf(s95,plain,
( ~ spl103_13
| ~ spl103_116 ),
inference(sat_conversion,[],[f843]) ).
cnf(s97,plain,
( spl103_30
| ~ spl103_35 ),
inference(sat_conversion,[],[f848]) ).
cnf(s99,plain,
( ~ spl103_35
| spl103_118 ),
inference(sat_conversion,[],[f853]) ).
cnf(s101,plain,
( spl103_30
| ~ spl103_36 ),
inference(sat_conversion,[],[f859]) ).
cnf(s103,plain,
( ~ spl103_36
| spl103_120 ),
inference(sat_conversion,[],[f864]) ).
cnf(s104,plain,
( ~ spl103_39
| spl103_121 ),
inference(sat_conversion,[],[f869]) ).
cnf(s105,plain,
( ~ spl103_39
| ~ spl103_122 ),
inference(sat_conversion,[],[f874]) ).
cnf(s106,plain,
( ~ spl103_39
| spl103_123 ),
inference(sat_conversion,[],[f878]) ).
cnf(s107,plain,
( ~ spl103_39
| spl103_124 ),
inference(sat_conversion,[],[f882]) ).
cnf(s108,plain,
( ~ spl103_40
| spl103_125 ),
inference(sat_conversion,[],[f887]) ).
cnf(s109,plain,
( ~ spl103_40
| spl103_97
| spl103_101 ),
inference(sat_conversion,[],[f888]) ).
cnf(s110,plain,
( ~ spl103_40
| spl103_102
| spl103_103 ),
inference(sat_conversion,[],[f889]) ).
cnf(s111,plain,
( ~ spl103_40
| spl103_103
| ~ spl103_126
| ~ spl103_127 ),
inference(sat_conversion,[],[f898]) ).
cnf(s112,plain,
( ~ spl103_41
| spl103_96 ),
inference(sat_conversion,[],[f899]) ).
cnf(s113,plain,
( ~ spl103_41
| spl103_97
| spl103_101 ),
inference(sat_conversion,[],[f900]) ).
cnf(s114,plain,
( ~ spl103_41
| spl103_102
| spl103_103 ),
inference(sat_conversion,[],[f901]) ).
cnf(s115,plain,
( ~ spl103_41
| spl103_103
| ~ spl103_128
| ~ spl103_129 ),
inference(sat_conversion,[],[f910]) ).
cnf(s116,plain,
( ~ spl103_6
| spl103_90 ),
inference(sat_conversion,[],[f911]) ).
cnf(s118,plain,
( ~ spl103_6
| ~ spl103_130 ),
inference(sat_conversion,[],[f917]) ).
cnf(s119,plain,
( ~ spl103_12
| spl103_44
| spl103_102 ),
inference(sat_conversion,[],[f918]) ).
cnf(s120,plain,
( ~ spl103_12
| spl103_131 ),
inference(sat_conversion,[],[f923]) ).
cnf(s121,plain,
( ~ spl103_12
| ~ spl103_132 ),
inference(sat_conversion,[],[f928]) ).
cnf(s122,plain,
( ~ spl103_23
| spl103_133 ),
inference(sat_conversion,[],[f933]) ).
cnf(s123,plain,
( ~ spl103_23
| spl103_134 ),
inference(sat_conversion,[],[f937]) ).
cnf(s125,plain,
( ~ spl103_24
| spl103_136 ),
inference(sat_conversion,[],[f945]) ).
cnf(s126,plain,
( ~ spl103_24
| spl103_137 ),
inference(sat_conversion,[],[f950]) ).
cnf(s127,plain,
( ~ spl103_24
| spl103_138 ),
inference(sat_conversion,[],[f954]) ).
cnf(s128,plain,
( ~ spl103_26
| ~ spl103_139
| spl103_140 ),
inference(sat_conversion,[],[f963]) ).
cnf(s129,plain,
( ~ spl103_26
| spl103_141 ),
inference(sat_conversion,[],[f967]) ).
cnf(s130,plain,
( ~ spl103_26
| spl103_134 ),
inference(sat_conversion,[],[f968]) ).
cnf(s131,plain,
( ~ spl103_27
| spl103_142 ),
inference(sat_conversion,[],[f972]) ).
cnf(s132,plain,
( ~ spl103_27
| spl103_143 ),
inference(sat_conversion,[],[f977]) ).
cnf(s133,plain,
( ~ spl103_27
| spl103_134 ),
inference(sat_conversion,[],[f978]) ).
cnf(s134,plain,
( ~ spl103_29
| spl103_106 ),
inference(sat_conversion,[],[f979]) ).
cnf(s135,plain,
( ~ spl103_29
| spl103_30 ),
inference(sat_conversion,[],[f980]) ).
cnf(s136,plain,
( ~ spl103_29
| ~ spl103_144 ),
inference(sat_conversion,[],[f985]) ).
cnf(s137,plain,
( ~ spl103_34
| spl103_145 ),
inference(sat_conversion,[],[f989]) ).
cnf(s139,plain,
( ~ spl103_34
| spl103_147 ),
inference(sat_conversion,[],[f997]) ).
cnf(s140,plain,
( ~ spl103_7
| spl103_48 ),
inference(sat_conversion,[],[f998]) ).
cnf(s141,plain,
( ~ spl103_7
| ~ spl103_148 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s142,plain,
( ~ spl103_8
| spl103_149 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s143,plain,
( ~ spl103_8
| spl103_44 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s144,plain,
( ~ spl103_9
| spl103_150 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s145,plain,
( ~ spl103_9
| ~ spl103_150 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s146,plain,
( ~ spl103_10
| spl103_151 ),
inference(sat_conversion,[],[f1019]) ).
cnf(s147,plain,
( ~ spl103_10
| spl103_152 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s148,plain,
( ~ spl103_11
| spl103_153 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s149,plain,
( ~ spl103_11
| spl103_44 ),
inference(sat_conversion,[],[f1029]) ).
cnf(s150,plain,
( ~ spl103_14
| spl103_30 ),
inference(sat_conversion,[],[f1030]) ).
cnf(s151,plain,
( ~ spl103_14
| spl103_154 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s152,plain,
( ~ spl103_18
| spl103_155 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s153,plain,
( ~ spl103_18
| spl103_44 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s154,plain,
( ~ spl103_19
| spl103_156
| spl103_157 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s155,plain,
( spl103_44
| ~ spl103_19
| spl103_44 ),
inference(sat_conversion,[],[f1050]) ).
cnf(s156,plain,
( ~ spl103_19
| spl103_44 ),
inference(rat,[],[s155]) ).
cnf(s157,plain,
( ~ spl103_20
| spl103_30 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s158,plain,
( ~ spl103_20
| ~ spl103_158
| ~ spl103_159 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s159,plain,
( ~ spl103_21
| spl103_30 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s160,plain,
( ~ spl103_21
| ~ spl103_160
| ~ spl103_161 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s161,plain,
( ~ spl103_22
| spl103_162
| spl103_163 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s162,plain,
( spl103_164
| ~ spl103_22
| spl103_164 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s163,plain,
( ~ spl103_22
| spl103_164 ),
inference(rat,[],[s162]) ).
cnf(s164,plain,
( ~ spl103_30
| spl103_46 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s165,plain,
( ~ spl103_30
| spl103_158 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s166,plain,
( ~ spl103_30
| spl103_160 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s167,plain,
( ~ spl103_30
| spl103_45 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s168,plain,
( ~ spl103_30
| spl103_159 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s169,plain,
( ~ spl103_30
| spl103_161 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s170,plain,
( ~ spl103_30
| ~ spl103_44 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s171,plain,
( ~ spl103_30
| spl103_91 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s172,plain,
( ~ spl103_30
| spl103_89 ),
inference(sat_conversion,[],[f1101]) ).
cnf(s175,plain,
( ~ spl103_97
| ~ spl103_125 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s177,plain,
( ~ spl103_102
| spl103_127 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s178,plain,
( ~ spl103_102
| spl103_126 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s179,plain,
( ~ spl103_109
| ~ spl103_112 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s180,plain,
( ~ spl103_109
| ~ spl103_111
| ~ spl103_113 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s182,plain,
( spl103_107
| ~ spl103_110
| ~ spl103_112 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s183,plain,
( ~ spl103_107
| ~ spl103_108 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s184,plain,
( ~ spl103_108
| ~ spl103_110
| ~ spl103_111
| ~ spl103_113 ),
inference(sat_conversion,[],[f1130]) ).
cnf(s185,plain,
( ~ spl103_30
| spl103_95 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s186,plain,
( ~ spl103_30
| spl103_94 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s187,plain,
( ~ spl103_90
| spl103_130 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s188,plain,
( ~ spl103_30
| spl103_90
| ~ spl103_106 ),
inference(sat_conversion,[],[f1138]) ).
cnf(s190,plain,
( ~ spl103_71
| ~ spl103_73
| spl103_112 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s191,plain,
( ~ spl103_30
| spl103_93 ),
inference(sat_conversion,[],[f1146]) ).
cnf(s192,plain,
( spl103_135
| ~ spl103_136
| ~ spl103_138 ),
inference(sat_conversion,[],[f1148]) ).
cnf(s193,plain,
( ~ spl103_135
| ~ spl103_137 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s194,plain,
( ~ spl103_145
| ~ spl103_147 ),
inference(sat_conversion,[],[f1153]) ).
cnf(s198,plain,
( ~ spl103_63
| ~ spl103_64
| ~ spl103_65
| ~ spl103_66
| ~ spl103_67
| spl103_68 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s201,plain,
( ~ spl103_48
| spl103_148 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s202,plain,
( ~ spl103_30
| ~ spl103_154 ),
inference(sat_conversion,[],[f1266]) ).
cnf(s203,plain,
( ~ spl103_25
| ~ spl103_43 ),
inference(sat_conversion,[],[f1272]) ).
cnf(s205,plain,
( ~ spl103_48
| spl103_55 ),
inference(sat_conversion,[],[f1276]) ).
cnf(s209,plain,
( ~ spl103_163
| ~ spl103_164 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s214,plain,
( ~ spl103_102
| spl103_132 ),
inference(sat_conversion,[],[f1298]) ).
cnf(s219,plain,
( spl103_139
| ~ spl103_141 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s222,plain,
( ~ spl103_134
| ~ spl103_140 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s223,plain,
( ~ spl103_90
| spl103_144 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s224,plain,
( ~ spl103_90
| spl103_104 ),
inference(sat_conversion,[],[f1322]) ).
cnf(s230,plain,
( ~ spl103_151
| ~ spl103_152 ),
inference(sat_conversion,[],[f1342]) ).
cnf(s232,plain,
( ~ spl103_57
| ~ spl103_59
| spl103_165
| spl103_166 ),
inference(sat_conversion,[],[f1356]) ).
cnf(s235,plain,
( ~ spl103_123
| ~ spl103_124
| spl103_142 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s237,plain,
( ~ spl103_121
| spl103_122
| ~ spl103_142 ),
inference(sat_conversion,[],[f1374]) ).
cnf(s239,plain,
( ~ spl103_102
| spl103_129 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s240,plain,
( ~ spl103_102
| spl103_128 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s244,plain,
( ~ spl103_96
| ~ spl103_97 ),
inference(sat_conversion,[],[f1388]) ).
cnf(s247,plain,
( ~ spl103_133
| ~ spl103_134 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s249,plain,
( ~ spl103_134
| ~ spl103_142
| ~ spl103_143 ),
inference(sat_conversion,[],[f1398]) ).
cnf(s251,plain,
( ~ spl103_162
| ~ spl103_164 ),
inference(sat_conversion,[],[f1400]) ).
cnf(s253,plain,
( ~ spl103_30
| ~ spl103_118 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s257,plain,
( ~ spl103_30
| spl103_92 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s261,plain,
( ~ spl103_30
| ~ spl103_120 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s262,plain,
( ~ spl103_105
| ~ spl103_107 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s266,plain,
( spl103_100
| ~ spl103_102 ),
inference(sat_conversion,[],[f1430]) ).
cnf(s267,plain,
( spl103_99
| ~ spl103_102 ),
inference(sat_conversion,[],[f1432]) ).
cnf(s271,plain,
( ~ spl103_70
| ~ spl103_112 ),
inference(sat_conversion,[],[f1442]) ).
cnf(s290,plain,
( ~ spl103_78
| ~ spl103_79
| ~ spl103_80
| ~ spl103_81
| ~ spl103_83 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s299,plain,
( ~ spl103_58
| ~ spl103_59
| spl103_166
| spl103_167 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s302,plain,
( ~ spl103_60
| ~ spl103_62
| ~ spl103_166 ),
inference(sat_conversion,[],[f1586]) ).
cnf(s303,plain,
( ~ spl103_56
| ~ spl103_61
| ~ spl103_165
| ~ spl103_167 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s304,plain,
( ~ spl103_78
| ~ spl103_79
| ~ spl103_83
| ~ spl103_84
| ~ spl103_85 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s305,plain,
( ~ spl103_44
| ~ spl103_153 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s306,plain,
( ~ spl103_44
| ~ spl103_149 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s307,plain,
( ~ spl103_44
| ~ spl103_156 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s308,plain,
( ~ spl103_44
| ~ spl103_157 ),
inference(sat_conversion,[],[f1600]) ).
cnf(s309,plain,
( ~ spl103_44
| ~ spl103_155 ),
inference(sat_conversion,[],[f1602]) ).
cnf(s310,plain,
( ~ spl103_44
| ~ spl103_74 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s321,plain,
( ~ spl103_44
| ~ spl103_131 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s327,plain,
( ~ spl103_96
| spl103_125 ),
inference(sat_conversion,[],[f1639]) ).
cnf(s328,plain,
( ~ spl103_96
| ~ spl103_98
| spl103_99
| ~ spl103_103 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s329,plain,
( ~ spl103_96
| ~ spl103_98
| spl103_100
| ~ spl103_103 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s330,plain,
( ~ spl103_101
| ~ spl103_103
| ~ spl103_125 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s349,plain,
( ~ spl103_106
| ~ spl103_114
| ~ spl103_115
| spl103_116 ),
inference(sat_conversion,[],[f1728]) ).
cnf(s350,plain,
( spl103_30
| ~ spl103_87
| ~ spl103_88 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s351,plain,
( spl103_99
| ~ spl103_42 ),
inference(rat,[],[s74,s328,s267,s72,s244,s71]) ).
cnf(s352,plain,
( ~ spl103_103
| ~ spl103_42 ),
inference(rat,[],[s73,s329,s330,s327,s72,s244,s71,s351]) ).
cnf(s353,plain,
~ spl103_42,
inference(rat,[],[s266,s75,s74,s352,s351]) ).
cnf(s354,plain,
( spl103_103
| ~ spl103_41 ),
inference(rat,[],[s115,s239,s240,s114]) ).
cnf(s355,plain,
~ spl103_41,
inference(rat,[],[s354,s330,s113,s244,s327,s112]) ).
cnf(s356,plain,
( spl103_103
| ~ spl103_40 ),
inference(rat,[],[s111,s177,s178,s110]) ).
cnf(s357,plain,
~ spl103_40,
inference(rat,[],[s356,s330,s109,s175,s108]) ).
cnf(s358,plain,
~ spl103_39,
inference(rat,[],[s237,s235,s104,s105,s106,s107]) ).
cnf(s359,plain,
~ spl103_38,
inference(rat,[],[s303,s232,s299,s302,s20,s21,s22,s23,s24,s25,s26]) ).
cnf(s360,plain,
~ spl103_37,
inference(rat,[],[s304,s50,s51,s52,s53,s55]) ).
cnf(s361,plain,
~ spl103_34,
inference(rat,[],[s194,s137,s139]) ).
cnf(s362,plain,
~ spl103_33,
inference(rat,[],[s290,s44,s45,s46,s47,s49]) ).
cnf(s363,plain,
( ~ spl103_32
| spl103_30 ),
inference(rat,[],[s350,s66,s67]) ).
cnf(s364,plain,
( spl103_76
| ~ spl103_31
| spl103_44 ),
inference(rat,[],[s40,s42]) ).
cnf(s365,plain,
( ~ spl103_76
| ~ spl103_31
| spl103_44 ),
inference(rat,[],[s41,s43]) ).
cnf(s366,plain,
( ~ spl103_31
| spl103_44 ),
inference(rat,[],[s365,s364]) ).
cnf(s367,plain,
~ spl103_31,
inference(rat,[],[s366,s310,s38]) ).
cnf(s368,plain,
( spl103_30
| spl103_29
| spl103_28
| spl103_27
| spl103_26
| spl103_25
| spl103_24
| spl103_23
| spl103_22
| spl103_21
| spl103_20
| spl103_19
| spl103_18
| spl103_17
| spl103_16
| spl103_15
| spl103_14
| spl103_13
| spl103_12
| spl103_11
| spl103_10
| spl103_9
| spl103_8
| spl103_7
| spl103_6
| spl103_5
| spl103_4
| spl103_3
| spl103_2
| spl103_1 ),
inference(rat,[],[s2,s363,s97,s101,s355,s353,s367,s362,s361,s360,s359,s358,s357]) ).
cnf(s369,plain,
( spl103_29
| spl103_28
| spl103_1
| spl103_27
| spl103_26
| spl103_25
| spl103_24
| spl103_23
| spl103_22
| spl103_21
| spl103_20
| spl103_19
| spl103_18
| spl103_17
| spl103_16
| spl103_15
| spl103_14
| spl103_13
| spl103_12
| spl103_11
| spl103_10
| spl103_9
| spl103_8
| spl103_7
| spl103_6
| spl103_5
| spl103_4
| spl103_3
| spl103_2 ),
inference(rat,[],[s9,s70,s99,s103,s164,s167,s170,s185,s186,s253,s261,s368,s355,s357,s358,s359,s360,s361,s362,s353,s367]) ).
cnf(s370,plain,
~ spl103_29,
inference(rat,[],[s188,s223,s134,s135,s136]) ).
cnf(s371,plain,
~ spl103_28,
inference(rat,[],[s65,s191,s257,s350,s61,s62]) ).
cnf(s372,plain,
~ spl103_27,
inference(rat,[],[s249,s131,s132,s133]) ).
cnf(s373,plain,
~ spl103_26,
inference(rat,[],[s128,s219,s222,s129,s130]) ).
cnf(s374,plain,
( spl103_30
| spl103_24
| spl103_23
| spl103_22
| spl103_21
| spl103_20
| spl103_19
| spl103_18
| spl103_17
| spl103_16
| spl103_15
| spl103_14
| spl103_13
| spl103_12
| spl103_11
| spl103_10
| spl103_9
| spl103_8
| spl103_7
| spl103_6
| spl103_5
| spl103_4
| spl103_3
| spl103_2
| spl103_1 ),
inference(rat,[],[s4,s363,s97,s101,s203,s369,s357,s355,s353,s373,s372,s371,s370,s362,s367,s360,s361,s358,s359]) ).
cnf(s375,plain,
( spl103_24
| spl103_23
| spl103_1
| spl103_2
| spl103_22
| spl103_21
| spl103_20
| spl103_19
| spl103_18
| spl103_17
| spl103_16
| spl103_15
| spl103_14
| spl103_13
| spl103_12
| spl103_11
| spl103_10
| spl103_9
| spl103_8
| spl103_7
| spl103_6
| spl103_5
| spl103_4
| spl103_3 ),
inference(rat,[],[s10,s70,s99,s103,s164,s167,s170,s185,s186,s253,s261,s374,s203,s369,s355,s357,s358,s359,s360,s361,s362,s370,s371,s372,s373,s353,s367]) ).
cnf(s376,plain,
~ spl103_24,
inference(rat,[],[s192,s193,s125,s126,s127]) ).
cnf(s377,plain,
~ spl103_23,
inference(rat,[],[s247,s122,s123]) ).
cnf(s378,plain,
~ spl103_22,
inference(rat,[],[s161,s209,s251,s163]) ).
cnf(s379,plain,
~ spl103_21,
inference(rat,[],[s160,s166,s169,s159]) ).
cnf(s380,plain,
~ spl103_20,
inference(rat,[],[s158,s165,s168,s157]) ).
cnf(s381,plain,
~ spl103_19,
inference(rat,[],[s154,s307,s308,s156]) ).
cnf(s382,plain,
~ spl103_18,
inference(rat,[],[s309,s152,s153]) ).
cnf(s383,plain,
~ spl103_17,
inference(rat,[],[s271,s190,s34,s35,s37]) ).
cnf(s384,plain,
~ spl103_16,
inference(rat,[],[s198,s27,s28,s29,s30,s31,s32]) ).
cnf(s385,plain,
~ spl103_15,
inference(rat,[],[s60,s171,s172,s350,s56,s57]) ).
cnf(s386,plain,
~ spl103_14,
inference(rat,[],[s202,s150,s151]) ).
cnf(s387,plain,
~ spl103_13,
inference(rat,[],[s349,s92,s93,s94,s95]) ).
cnf(s388,plain,
~ spl103_12,
inference(rat,[],[s119,s321,s214,s120,s121]) ).
cnf(s389,plain,
~ spl103_11,
inference(rat,[],[s305,s148,s149]) ).
cnf(s390,plain,
~ spl103_10,
inference(rat,[],[s230,s146,s147]) ).
cnf(s391,plain,
~ spl103_9,
inference(rat,[],[s144,s145]) ).
cnf(s392,plain,
~ spl103_8,
inference(rat,[],[s306,s142,s143]) ).
cnf(s393,plain,
~ spl103_7,
inference(rat,[],[s201,s140,s141]) ).
cnf(s394,plain,
~ spl103_6,
inference(rat,[],[s187,s116,s118]) ).
cnf(s395,plain,
~ spl103_5,
inference(rat,[],[s90,s88,s89]) ).
cnf(s396,plain,
~ spl103_4,
inference(rat,[],[s87,s84,s85]) ).
cnf(s397,plain,
~ spl103_3,
inference(rat,[],[s12,s205,s11,s19]) ).
cnf(s398,plain,
( ~ spl103_111
| ~ spl103_2 ),
inference(rat,[],[s80,s184,s180,s83,s81]) ).
cnf(s399,plain,
~ spl103_2,
inference(rat,[],[s183,s80,s182,s179,s82,s398,s81]) ).
cnf(s400,plain,
spl103_1,
inference(rat,[],[s375,s395,s394,s393,s392,s391,s390,s389,s388,s387,s386,s385,s384,s383,s382,s381,s380,s379,s376,s378,s377,s396,s397,s399]) ).
cnf(s401,plain,
spl103_107,
inference(rat,[],[s79,s400]) ).
cnf(s402,plain,
spl103_30,
inference(rat,[],[s78,s400]) ).
cnf(s403,plain,
spl103_106,
inference(rat,[],[s77,s400]) ).
cnf(s405,plain,
~ spl103_105,
inference(rat,[],[s262,s401]) ).
cnf(s428,plain,
spl103_90,
inference(rat,[],[s188,s402,s403]) ).
cnf(s429,plain,
~ spl103_104,
inference(rat,[],[s76,s400,s405]) ).
cnf(s439,plain,
$false,
inference(rat,[],[s224,s429,s428]) ).
fof(f1731,plain,
$false,
inference(avatar_sat_refutation,[],[s439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN938+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 17:11:26 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.27 % (2568628)Will run a generic schedule for satisfiability detection.
% 0.37/0.27 % (2568640)% WARNING: option uhcvi not known.
% 0.37/0.27 % (2568644)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2649967455:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.27 % (2568639)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=635997824_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.27 % (2568640)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2053854632:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.27 % (2568643)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2979009911:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.27 % (2568645)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=407334943:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.27 % (2568642)dis+10_1_sil=32000:sp=arity:random_seed=3549783293:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.27 % (2568641)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1879288430:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.27 % (2568644) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2568628-2568644"...
% 0.37/0.27 % (2568644)...printing done.
% 0.37/0.27 % (2568644)Refutation found. Thanks to Tanya!
% 0.37/0.27 % SZS status Theorem for theBenchmark
% 0.37/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.28 % (2568644)------------------------------
% 0.37/0.28 % (2568644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.28 % (2568644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.28 % (2568644)CaDiCaL version: 2.1.3
% 0.37/0.28 % (2568644)Termination reason: Refutation
% 0.37/0.28 % (2568644)Time elapsed: 0.019 s
% 0.37/0.28 % (2568644)Peak memory usage: 13 MB
% 0.37/0.28 % (2568644)Instructions burned: 54 (million)
% 0.37/0.28 % (2568628)Success in time 0.042 s
% 0.37/0.28 % Vampire exiting
%------------------------------------------------------------------------------