%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n018.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 02:06:01 PM UTC 2026
% Result : Theorem 0.64s 0.94s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 108
% Number of leaves : 41
% Syntax : Number of formulae : 696 ( 42 unt; 40 def)
% Number of atoms : 10237 ( 0 equ)
% Maximal formula atoms : 203 ( 14 avg)
% Number of connectives : 11382 (1841 ~;8141 |;1003 &)
% ( 37 <=>; 348 =>; 0 <=; 12 <~>)
% Maximal formula depth : 54 ( 15 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 62 ( 61 usr; 46 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 57 con; 0-2 aty)
% Number of variables : 2002 (1438 !; 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(sK42,sK43)
| a(sK41,sK40)
| ~ sP39 ),
inference(cnf_transformation,[],[f50]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ a(X2,X3)
| ~ a(X1,X0)
| ~ 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(sK49)
| p1(sK48)
| ~ sP36 ),
inference(cnf_transformation,[],[f59]) ).
fof(f174,plain,
! [X0,X1] :
( ~ p1(X1)
| ~ p1(X0)
| ~ 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(f211,plain,
! [X1] :
( p1(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] :
( r1(X3)
| ~ p1(X2)
| ~ 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] :
( r1(X3)
| ~ p1(X2)
| ~ 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] :
( ~ c(X0)
| ~ a1(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,
( ~ sP14
| ~ b0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f238,plain,
( ~ sP14
| ~ a0 ),
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] :
( q(f(sK76),sK76)
| ~ p(X1,X2)
| ~ 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] :
( r1(X3)
| ~ p1(X2)
| ~ 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] :
( ~ q(X3,X4)
| ~ p1(X3)
| ~ 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] :
( ~ q(X3,X4)
| ~ p1(X3)
| ~ 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(X2,X0)
| ~ p(X3,X2)
| ~ 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] :
( a_member_of(sK96(X2,X3),X3)
| eq(X2,X3)
| a_member_of(sK96(X2,X3),X2)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f300,plain,
! [X2,X3] :
( ~ a_member_of(sK96(X2,X3),X3)
| eq(X2,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] :
( ~ s(sK97,X5)
| p1(X5)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f304,plain,
! [X2] :
( c(f(X2))
| g(X2)
| ~ e(X2)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f305,plain,
! [X1] :
( s(X1,f(X1))
| g(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] :
( ~ c(X4)
| ~ p1(X4)
| ~ sP1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f309,plain,
! [X3] :
( ~ g(X3)
| ~ p1(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(f321,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(f322,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(f323,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| 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(f324,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| 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(f329,plain,
( ~ sP35
| ~ sP35 ),
inference(resolution,[],[f176,f175]) ).
fof(f330,plain,
~ sP35,
inference(duplicate_literal_removal,[],[f329]) ).
fof(f337,plain,
( ~ sP33
| ~ sP33 ),
inference(resolution,[],[f180,f179]) ).
fof(f338,plain,
~ sP33,
inference(duplicate_literal_removal,[],[f337]) ).
fof(f341,plain,
~ sP31,
inference(forward_subsumption_resolution,[],[f184,f183]) ).
fof(f350,plain,
( ~ sP30
| ~ sP30 ),
inference(resolution,[],[f186,f185]) ).
fof(f351,plain,
~ sP30,
inference(duplicate_literal_removal,[],[f350]) ).
fof(f360,plain,
( ~ sP23
| ~ sP23 ),
inference(resolution,[],[f205,f204]) ).
fof(f361,plain,
~ sP23,
inference(duplicate_literal_removal,[],[f360]) ).
fof(f369,plain,
~ sP21,
inference(forward_subsumption_resolution,[],[f212,f210]) ).
fof(f380,plain,
( a0
| ~ sP14 ),
inference(forward_subsumption_resolution,[],[f239,f237]) ).
fof(f381,plain,
~ sP14,
inference(forward_subsumption_resolution,[],[f380,f238]) ).
fof(f382,plain,
( ~ a0
| ~ sP13 ),
inference(forward_subsumption_resolution,[],[f244,f241]) ).
fof(f383,plain,
~ sP13,
inference(forward_subsumption_resolution,[],[f382,f242]) ).
fof(f400,plain,
~ sP34,
inference(forward_subsumption_resolution,[],[f178,f177]) ).
fof(f401,plain,
( ~ sP32
| ~ sP32 ),
inference(resolution,[],[f182,f181]) ).
fof(f402,plain,
~ sP32,
inference(duplicate_literal_removal,[],[f401]) ).
fof(f404,plain,
~ sP29,
inference(forward_subsumption_resolution,[],[f188,f187]) ).
fof(f405,plain,
~ sP17,
inference(forward_subsumption_resolution,[],[f228,f226]) ).
fof(f406,plain,
~ sP16,
inference(forward_subsumption_resolution,[],[f232,f230]) ).
fof(f424,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(forward_subsumption_resolution,[],[f319,f226]) ).
fof(f425,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(forward_subsumption_resolution,[],[f424,f230]) ).
fof(f426,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| 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(forward_subsumption_resolution,[],[f425,f193]) ).
fof(f427,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f426,f169]) ).
fof(f428,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f427,f171]) ).
fof(f429,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f428,f177]) ).
fof(f430,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f429,f211]) ).
fof(f431,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f430,f251]) ).
fof(f432,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f431,f191]) ).
fof(f433,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f432,f361]) ).
fof(f434,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f433,f330]) ).
fof(f435,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f434,f338]) ).
fof(f436,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f435,f402]) ).
fof(f437,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f436,f341]) ).
fof(f438,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f437,f351]) ).
fof(f439,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f438,f404]) ).
fof(f440,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f439,f381]) ).
fof(f441,plain,
! [X2,X6,X4] :
( ~ a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| sP10
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f440,f383]) ).
fof(f443,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(forward_subsumption_resolution,[],[f320,f226]) ).
fof(f444,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(forward_subsumption_resolution,[],[f443,f230]) ).
fof(f445,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| 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(forward_subsumption_resolution,[],[f444,f193]) ).
fof(f446,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f445,f169]) ).
fof(f447,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f446,f171]) ).
fof(f448,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f447,f177]) ).
fof(f449,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f448,f211]) ).
fof(f450,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f449,f251]) ).
fof(f451,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f450,f361]) ).
fof(f452,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f451,f330]) ).
fof(f453,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f452,f338]) ).
fof(f454,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f453,f402]) ).
fof(f455,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f454,f341]) ).
fof(f456,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f455,f351]) ).
fof(f457,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f456,f404]) ).
fof(f458,plain,
! [X2,X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f457,f381]) ).
fof(f459,plain,
! [X2,X6,X4] :
( a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP8
| sP26
| sP25
| sP10
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f458,f383]) ).
fof(f470,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(forward_subsumption_resolution,[],[f321,f226]) ).
fof(f471,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| 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(forward_subsumption_resolution,[],[f470,f230]) ).
fof(f472,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| 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(forward_subsumption_resolution,[],[f471,f193]) ).
fof(f473,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f472,f169]) ).
fof(f474,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f473,f171]) ).
fof(f475,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f474,f177]) ).
fof(f476,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f475,f211]) ).
fof(f477,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f476,f251]) ).
fof(f478,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f477,f176]) ).
fof(f479,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f478,f180]) ).
fof(f480,plain,
! [X2,X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| ~ p1(X3)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f479,f186]) ).
fof(f481,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f480,f441]) ).
fof(f482,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f481,f191]) ).
fof(f483,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f482,f361]) ).
fof(f484,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f483,f402]) ).
fof(f485,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f484,f341]) ).
fof(f486,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f485,f404]) ).
fof(f487,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f486,f381]) ).
fof(f488,plain,
! [X2,X6] :
( ~ a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| sP10
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f487,f383]) ).
fof(f490,plain,
! [X0] :
( ~ a(sK102,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X0)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12 ),
inference(factoring,[],[f488]) ).
fof(f492,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| 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(forward_subsumption_resolution,[],[f322,f459]) ).
fof(f493,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP16
| sP28
| sP5
| sP9
| sP4
| 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(forward_subsumption_resolution,[],[f492,f226]) ).
fof(f494,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| 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(forward_subsumption_resolution,[],[f493,f230]) ).
fof(f495,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| 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(forward_subsumption_resolution,[],[f494,f193]) ).
fof(f496,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP37
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f495,f169]) ).
fof(f497,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f496,f171]) ).
fof(f498,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f497,f177]) ).
fof(f499,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f498,f211]) ).
fof(f500,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f499,f251]) ).
fof(f501,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP35
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f500,f361]) ).
fof(f502,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f501,f330]) ).
fof(f503,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP32
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f502,f338]) ).
fof(f504,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP31
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f503,f402]) ).
fof(f505,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP30
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f504,f341]) ).
fof(f506,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f505,f351]) ).
fof(f507,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f506,f404]) ).
fof(f508,plain,
! [X2,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f507,f381]) ).
fof(f509,plain,
! [X2,X6] :
( a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X2)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| a(X6,X6)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f508,f383]) ).
fof(f520,plain,
! [X0,X1] :
( sP20
| sP19
| sP18
| sP1
| sP6
| p1(X0)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| a(sK102,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12
| sP20
| sP19
| sP18
| sP1
| sP6
| p1(X1)
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12 ),
inference(resolution,[],[f509,f490]) ).
fof(f523,plain,
! [X0,X1] :
( sP20
| sP19
| sP18
| sP1
| sP6
| p1(X0)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| a(sK102,sK102)
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12
| p1(X1) ),
inference(duplicate_literal_removal,[],[f520]) ).
fof(f526,plain,
! [X0,X1] :
( p1(X1)
| sP19
| sP18
| sP1
| sP6
| p1(X0)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12
| sP20 ),
inference(forward_subsumption_resolution,[],[f523,f490]) ).
fof(f531,plain,
( ~ p1(sK45)
| ~ sP38 ),
inference(forward_subsumption_resolution,[],[f170,f169]) ).
fof(f532,plain,
~ sP38,
inference(forward_subsumption_resolution,[],[f531,f169]) ).
fof(f533,plain,
( ~ p1(sK47)
| ~ sP37 ),
inference(forward_subsumption_resolution,[],[f172,f171]) ).
fof(f534,plain,
~ sP37,
inference(forward_subsumption_resolution,[],[f533,f171]) ).
fof(f558,plain,
! [X0] :
( ~ p1(X0)
| ~ sP36 ),
inference(factoring,[],[f174]) ).
fof(f575,plain,
( ~ sP36
| p1(sK48)
| ~ sP36 ),
inference(resolution,[],[f558,f173]) ).
fof(f582,plain,
( ~ sP36
| p1(sK48) ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f583,plain,
~ sP36,
inference(forward_subsumption_resolution,[],[f582,f558]) ).
fof(f584,plain,
! [X2] :
( q1(X2)
| ~ sP27 ),
inference(forward_subsumption_resolution,[],[f192,f193]) ).
fof(f585,plain,
( ~ sP27
| ~ sP27 ),
inference(resolution,[],[f584,f194]) ).
fof(f587,plain,
~ sP27,
inference(duplicate_literal_removal,[],[f585]) ).
fof(f588,plain,
! [X2] :
( ~ a1(X2)
| ~ sP26 ),
inference(forward_subsumption_resolution,[],[f195,f197]) ).
fof(f590,plain,
( ~ sP26
| ~ sP26 ),
inference(resolution,[],[f588,f196]) ).
fof(f593,plain,
~ sP26,
inference(duplicate_literal_removal,[],[f590]) ).
fof(f594,plain,
( ~ a1(sK60)
| ~ sP25 ),
inference(forward_subsumption_resolution,[],[f198,f200]) ).
fof(f595,plain,
~ sP25,
inference(forward_subsumption_resolution,[],[f594,f199]) ).
fof(f596,plain,
! [X0] :
( ~ a1(X0)
| ~ sP24 ),
inference(forward_subsumption_resolution,[],[f203,f201]) ).
fof(f599,plain,
( ~ sP24
| ~ sP24 ),
inference(resolution,[],[f596,f202]) ).
fof(f601,plain,
~ sP24,
inference(duplicate_literal_removal,[],[f599]) ).
fof(f602,plain,
! [X0] :
( ~ p1(X0)
| ~ sP22
| ~ sP22 ),
inference(resolution,[],[f207,f209]) ).
fof(f606,plain,
! [X0] :
( ~ p1(X0)
| ~ sP22 ),
inference(duplicate_literal_removal,[],[f602]) ).
fof(f624,plain,
( ~ sP22
| ~ sP22 ),
inference(resolution,[],[f606,f208]) ).
fof(f627,plain,
~ sP22,
inference(duplicate_literal_removal,[],[f624]) ).
fof(f629,plain,
( ~ p1(sK75)
| ~ sP15
| ~ sP15 ),
inference(resolution,[],[f234,f236]) ).
fof(f630,plain,
( ~ p1(sK75)
| ~ sP15 ),
inference(duplicate_literal_removal,[],[f629]) ).
fof(f638,plain,
( ~ q1(sK77)
| ~ sP11 ),
inference(forward_subsumption_resolution,[],[f249,f252]) ).
fof(f642,plain,
! [X1] :
( q1(X1)
| ~ sP11 ),
inference(forward_subsumption_resolution,[],[f250,f251]) ).
fof(f645,plain,
( ~ sP11
| ~ sP11 ),
inference(resolution,[],[f642,f638]) ).
fof(f646,plain,
~ sP11,
inference(duplicate_literal_removal,[],[f645]) ).
fof(f661,plain,
( ~ sP15
| ~ r1(sK75)
| ~ sP15 ),
inference(resolution,[],[f630,f235]) ).
fof(f667,plain,
( ~ sP15
| ~ r1(sK75) ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f668,plain,
~ sP15,
inference(forward_subsumption_resolution,[],[f667,f233]) ).
fof(f669,plain,
! [X2] :
( p1(X2)
| ~ sP9 ),
inference(forward_subsumption_resolution,[],[f259,f258]) ).
fof(f682,plain,
( ~ p1(sK81)
| ~ sP9 ),
inference(forward_subsumption_resolution,[],[f262,f669]) ).
fof(f683,plain,
~ sP9,
inference(forward_subsumption_resolution,[],[f682,f669]) ).
fof(f692,plain,
! [X2] :
( p1(X2)
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f264,f263]) ).
fof(f705,plain,
( ~ p1(sK83)
| ~ sP8 ),
inference(forward_subsumption_resolution,[],[f267,f692]) ).
fof(f706,plain,
~ sP8,
inference(forward_subsumption_resolution,[],[f705,f692]) ).
fof(f715,plain,
! [X2] :
( p1(X2)
| ~ sP7 ),
inference(forward_subsumption_resolution,[],[f269,f268]) ).
fof(f728,plain,
( ~ p1(sK85)
| ~ sP7 ),
inference(forward_subsumption_resolution,[],[f272,f715]) ).
fof(f729,plain,
~ sP7,
inference(forward_subsumption_resolution,[],[f728,f715]) ).
fof(f775,plain,
! [X0] :
( ~ p1(X0)
| b0
| ~ sP4 ),
inference(forward_subsumption_resolution,[],[f288,f287]) ).
fof(f805,plain,
! [X0] :
( ~ p1(X0)
| q0
| ~ sP4 ),
inference(forward_subsumption_resolution,[],[f289,f287]) ).
fof(f835,plain,
! [X0] :
( ~ p1(X0)
| ~ q0
| ~ sP4 ),
inference(forward_subsumption_resolution,[],[f290,f775]) ).
fof(f836,plain,
! [X0] :
( ~ p1(X0)
| ~ sP4 ),
inference(forward_subsumption_resolution,[],[f835,f805]) ).
fof(f863,plain,
( ~ sP4
| ~ sP4 ),
inference(resolution,[],[f836,f285]) ).
fof(f865,plain,
~ sP4,
inference(duplicate_literal_removal,[],[f863]) ).
fof(f866,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f323,f174]) ).
fof(f867,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f866,f836]) ).
fof(f868,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f867,f176]) ).
fof(f869,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f868,f606]) ).
fof(f870,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f869,f180]) ).
fof(f871,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f870,f186]) ).
fof(f872,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f871,f226]) ).
fof(f873,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f872,f230]) ).
fof(f874,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f873,f669]) ).
fof(f875,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f874,f193]) ).
fof(f876,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f875,f692]) ).
fof(f877,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f876,f169]) ).
fof(f878,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f877,f171]) ).
fof(f879,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f878,f715]) ).
fof(f880,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f879,f177]) ).
fof(f881,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f880,f211]) ).
fof(f882,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f881,f251]) ).
fof(f883,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f882,f191]) ).
fof(f884,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f883,f593]) ).
fof(f885,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f884,f595]) ).
fof(f886,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f885,f601]) ).
fof(f887,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f886,f361]) ).
fof(f888,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f887,f668]) ).
fof(f889,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f888,f402]) ).
fof(f890,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f889,f341]) ).
fof(f891,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f890,f404]) ).
fof(f892,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f891,f381]) ).
fof(f893,plain,
! [X6,X4] :
( ~ a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| p1(X4)
| ~ a(X6,X6)
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f892,f383]) ).
fof(f925,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP4
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f324,f174]) ).
fof(f926,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f925,f836]) ).
fof(f927,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f926,f176]) ).
fof(f928,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f927,f606]) ).
fof(f929,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f928,f180]) ).
fof(f930,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f929,f186]) ).
fof(f931,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP16
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f930,f226]) ).
fof(f932,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP9
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f931,f230]) ).
fof(f933,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f932,f669]) ).
fof(f934,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f933,f193]) ).
fof(f935,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f934,f692]) ).
fof(f936,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f935,f169]) ).
fof(f937,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f936,f171]) ).
fof(f938,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f937,f715]) ).
fof(f939,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f938,f177]) ).
fof(f940,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f939,f211]) ).
fof(f941,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f940,f251]) ).
fof(f942,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f941,f593]) ).
fof(f943,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f942,f595]) ).
fof(f944,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP23
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f943,f601]) ).
fof(f945,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f944,f361]) ).
fof(f946,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP32
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f945,f668]) ).
fof(f947,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP31
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f946,f402]) ).
fof(f948,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP29
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f947,f341]) ).
fof(f949,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP14
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f948,f404]) ).
fof(f950,plain,
! [X6,X4] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP13
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f949,f381]) ).
fof(f951,plain,
! [X6,X4] :
( a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| p1(X4)
| sP10
| a(X6,X6)
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f950,f383]) ).
fof(f985,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
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f325,f174]) ).
fof(f986,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f985,f836]) ).
fof(f987,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f986,f176]) ).
fof(f988,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f987,f606]) ).
fof(f989,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f988,f180]) ).
fof(f990,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f989,f186]) ).
fof(f991,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f990,f893]) ).
fof(f992,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP5
| sP9
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f991,f191]) ).
fof(f993,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP16
| sP5
| sP9
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f992,f405]) ).
fof(f994,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| sP9
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f993,f406]) ).
fof(f995,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| sP27
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f994,f683]) ).
fof(f996,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| sP8
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f995,f587]) ).
fof(f997,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| sP26
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f996,f706]) ).
fof(f998,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| sP25
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f997,f593]) ).
fof(f999,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f998,f595]) ).
fof(f1000,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f999,f601]) ).
fof(f1001,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1000,f361]) ).
fof(f1002,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1001,f532]) ).
fof(f1003,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1002,f534]) ).
fof(f1004,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1003,f729]) ).
fof(f1005,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1004,f400]) ).
fof(f1006,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1005,f668]) ).
fof(f1007,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1006,f402]) ).
fof(f1008,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1007,f341]) ).
fof(f1009,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1008,f404]) ).
fof(f1010,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1009,f369]) ).
fof(f1011,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1010,f381]) ).
fof(f1012,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| ~ a(X6,sK102)
| sP39
| sP3
| sP2
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1011,f383]) ).
fof(f1013,plain,
! [X6] :
( ~ a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| ~ a(X6,X6)
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f1012,f646]) ).
fof(f1017,plain,
( ~ a(sK102,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(factoring,[],[f1013]) ).
fof(f1021,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
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f326,f174]) ).
fof(f1022,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP35
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1021,f836]) ).
fof(f1023,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP22
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1022,f176]) ).
fof(f1024,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1023,f606]) ).
fof(f1025,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP30
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1024,f180]) ).
fof(f1026,plain,
! [X3,X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| ~ p1(X3)
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1025,f186]) ).
fof(f1027,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP17
| sP16
| sP28
| sP5
| sP9
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1026,f951]) ).
fof(f1028,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP16
| sP28
| sP5
| sP9
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1027,f405]) ).
fof(f1029,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP9
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1028,f406]) ).
fof(f1030,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP27
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1029,f683]) ).
fof(f1031,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP8
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1030,f587]) ).
fof(f1032,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP26
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1031,f706]) ).
fof(f1033,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP25
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1032,f593]) ).
fof(f1034,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP24
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1033,f595]) ).
fof(f1035,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP23
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1034,f601]) ).
fof(f1036,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP38
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1035,f361]) ).
fof(f1037,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP37
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1036,f532]) ).
fof(f1038,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP7
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1037,f534]) ).
fof(f1039,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP34
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1038,f729]) ).
fof(f1040,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP15
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1039,f400]) ).
fof(f1041,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP32
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1040,f668]) ).
fof(f1042,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP31
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1041,f402]) ).
fof(f1043,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP29
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1042,f341]) ).
fof(f1044,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP21
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1043,f404]) ).
fof(f1045,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP14
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1044,f369]) ).
fof(f1046,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP13
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1045,f381]) ).
fof(f1047,plain,
! [X6] :
( sP10
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| a(X6,sK102)
| a(X6,X6)
| sP39
| sP3
| sP2
| sP0
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[],[f1046,f383]) ).
fof(f1048,plain,
! [X6] :
( a(X6,sK102)
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP10
| a(X6,X6)
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f1047,f646]) ).
fof(f1087,plain,
( sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP10
| a(sK102,sK102)
| sP39
| sP3
| sP2
| sP0
| sP12
| sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(resolution,[],[f1048,f1017]) ).
fof(f1094,plain,
( sP20
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| ~ p1(sK101)
| sP28
| sP5
| sP10
| a(sK102,sK102)
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(duplicate_literal_removal,[],[f1087]) ).
fof(f1101,plain,
( ~ p1(sK101)
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(forward_subsumption_resolution,[],[f1094,f1017]) ).
fof(f1122,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| sP18
| sP1
| sP6
| p1(X0)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12
| sP20 ),
inference(resolution,[],[f1101,f526]) ).
fof(f1130,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP9
| sP4
| sP8
| sP26
| sP25
| sP24
| sP36
| sP7
| sP15
| sP22 ),
inference(duplicate_literal_removal,[],[f1122]) ).
fof(f1133,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP9
| sP8
| sP26
| sP25
| sP24
| sP36
| sP7
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1130,f836]) ).
fof(f1136,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP9
| sP8
| sP26
| sP25
| sP24
| sP7
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1133,f558]) ).
fof(f1139,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP9
| sP8
| sP26
| sP25
| sP24
| sP7
| sP15 ),
inference(forward_subsumption_resolution,[],[f1136,f606]) ).
fof(f1142,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP8
| sP26
| sP25
| sP24
| sP7
| sP15 ),
inference(forward_subsumption_resolution,[],[f1139,f669]) ).
fof(f1145,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP26
| sP25
| sP24
| sP7
| sP15 ),
inference(forward_subsumption_resolution,[],[f1142,f692]) ).
fof(f1148,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP26
| sP25
| sP24
| sP15 ),
inference(forward_subsumption_resolution,[],[f1145,f715]) ).
fof(f1151,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP25
| sP24
| sP15 ),
inference(forward_subsumption_resolution,[],[f1148,f593]) ).
fof(f1154,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP24
| sP15 ),
inference(forward_subsumption_resolution,[],[f1151,f595]) ).
fof(f1157,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0)
| sP15 ),
inference(forward_subsumption_resolution,[],[f1154,f601]) ).
fof(f1160,plain,
! [X0] :
( sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| p1(X0) ),
inference(forward_subsumption_resolution,[],[f1157,f668]) ).
fof(f1163,plain,
~ sP28,
inference(forward_subsumption_resolution,[],[f189,f191]) ).
fof(f1164,plain,
! [X0] :
( p1(X0)
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19 ),
inference(forward_subsumption_resolution,[],[f1160,f1163]) ).
fof(f1188,plain,
( sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| sP19
| sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP28
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12 ),
inference(resolution,[],[f1164,f1101]) ).
fof(f1189,plain,
( sP18
| sP1
| sP6
| ~ p1(sK100)
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| sP28 ),
inference(duplicate_literal_removal,[],[f1188]) ).
fof(f1190,plain,
( ~ p1(sK100)
| sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19 ),
inference(forward_subsumption_resolution,[],[f1189,f1163]) ).
fof(f1218,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| sP19
| sP18
| sP1
| sP6
| p1(X0)
| sP28
| sP5
| sP9
| sP4
| sP8
| sP26
| sP25
| sP10
| sP24
| sP39
| sP36
| sP3
| sP2
| sP7
| sP15
| sP22
| sP0
| sP12
| sP20 ),
inference(resolution,[],[f1190,f526]) ).
fof(f1228,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP28
| sP9
| sP4
| sP8
| sP26
| sP25
| sP24
| sP36
| sP7
| sP15
| sP22 ),
inference(duplicate_literal_removal,[],[f1218]) ).
fof(f1231,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP28
| sP4
| sP8
| sP26
| sP25
| sP24
| sP36
| sP7
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1228,f669]) ).
fof(f1232,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP28
| sP4
| sP26
| sP25
| sP24
| sP36
| sP7
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1231,f692]) ).
fof(f1233,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP28
| sP4
| sP26
| sP25
| sP24
| sP36
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1232,f715]) ).
fof(f1234,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP4
| sP26
| sP25
| sP24
| sP36
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1233,f1163]) ).
fof(f1235,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP26
| sP25
| sP24
| sP36
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1234,f865]) ).
fof(f1236,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP25
| sP24
| sP36
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1235,f593]) ).
fof(f1237,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP24
| sP36
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1236,f595]) ).
fof(f1238,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP36
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1237,f601]) ).
fof(f1239,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP15
| sP22 ),
inference(forward_subsumption_resolution,[],[f1238,f583]) ).
fof(f1240,plain,
! [X0] :
( sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| p1(X0)
| sP22 ),
inference(forward_subsumption_resolution,[],[f1239,f668]) ).
fof(f1241,plain,
! [X0] :
( p1(X0)
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| sP1 ),
inference(forward_subsumption_resolution,[],[f1240,f627]) ).
fof(f1254,plain,
( sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19
| sP1
| sP1
| sP6
| sP18
| sP20
| sP5
| sP10
| sP39
| sP3
| sP2
| sP0
| sP12
| sP19 ),
inference(resolution,[],[f1241,f1190]) ).
fof(f1257,plain,
( sP39
| sP18
| sP20
| sP5
| sP10
| sP6
| sP3
| sP2
| sP0
| sP12
| sP19
| sP1 ),
inference(duplicate_literal_removal,[],[f1254]) ).
fof(f1258,plain,
! [X2,X3] :
( p(X2,X3)
| ~ sP0 ),
inference(forward_subsumption_resolution,[],[f311,f310]) ).
fof(f1260,plain,
( ~ sP0
| ~ sP0 ),
inference(resolution,[],[f1258,f318]) ).
fof(f1261,plain,
~ sP0,
inference(duplicate_literal_removal,[],[f1260]) ).
fof(f1268,plain,
! [X0,X1] :
( ~ a(X0,X1)
| ~ sP39 ),
inference(factoring,[],[f168]) ).
fof(f1276,plain,
( ~ sP39
| a(sK41,sK40)
| ~ sP39 ),
inference(resolution,[],[f1268,f167]) ).
fof(f1277,plain,
( ~ sP39
| a(sK41,sK40) ),
inference(duplicate_literal_removal,[],[f1276]) ).
fof(f1278,plain,
~ sP39,
inference(forward_subsumption_resolution,[],[f1277,f1268]) ).
fof(f1279,plain,
( sP18
| sP20
| sP5
| sP10
| sP6
| sP3
| sP2
| sP0
| sP12
| sP19
| sP1 ),
inference(resolution,[],[f1278,f1257]) ).
fof(f1280,plain,
( sP20
| sP18
| sP5
| sP10
| sP6
| sP3
| sP2
| sP12
| sP19
| sP1 ),
inference(forward_subsumption_resolution,[],[f1279,f1261]) ).
fof(f1289,plain,
! [X1] :
( b(X1)
| ~ a1(X1)
| ~ sP18 ),
inference(forward_subsumption_resolution,[],[f223,f224]) ).
fof(f1293,plain,
( ~ a1(sK70)
| ~ sP18
| ~ sP18 ),
inference(resolution,[],[f1289,f222]) ).
fof(f1294,plain,
( ~ a1(sK70)
| ~ sP18 ),
inference(duplicate_literal_removal,[],[f1293]) ).
fof(f1295,plain,
~ sP18,
inference(forward_subsumption_resolution,[],[f1294,f221]) ).
fof(f1301,plain,
! [X0] :
( ~ q(f(X0),X0)
| ~ sP12
| ~ r1(X0)
| ~ sP12 ),
inference(resolution,[],[f248,f246]) ).
fof(f1302,plain,
! [X0] :
( ~ q(f(X0),X0)
| ~ sP12
| r1(sK76)
| ~ sP12 ),
inference(resolution,[],[f248,f245]) ).
fof(f1303,plain,
! [X0] :
( ~ q(f(X0),X0)
| ~ sP12
| r1(sK76) ),
inference(duplicate_literal_removal,[],[f1302]) ).
fof(f1304,plain,
! [X0] :
( ~ q(f(X0),X0)
| ~ sP12
| ~ r1(X0) ),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ r(X0,X1)
| ~ sP6
| ~ p1(X0)
| ~ sP6 ),
inference(resolution,[],[f273,f278]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ r(X0,X1)
| ~ sP6
| ~ p1(X0) ),
inference(duplicate_literal_removal,[],[f1310]) ).
fof(f1312,plain,
( ~ sP6
| ~ p1(sK87)
| ~ sP6 ),
inference(resolution,[],[f1311,f275]) ).
fof(f1314,plain,
( ~ p1(sK87)
| ~ sP6 ),
inference(duplicate_literal_removal,[],[f1312]) ).
fof(f1315,plain,
! [X0,X1] :
( ~ r(X0,X1)
| ~ sP5
| ~ p1(X0)
| ~ sP5 ),
inference(resolution,[],[f279,f284]) ).
fof(f1317,plain,
! [X0,X1] :
( ~ r(X0,X1)
| ~ sP5
| ~ p1(X0) ),
inference(duplicate_literal_removal,[],[f1315]) ).
fof(f1330,plain,
( ~ sP6
| ~ s1(sK87)
| ~ sP6 ),
inference(resolution,[],[f1314,f274]) ).
fof(f1342,plain,
( ~ sP6
| ~ s1(sK87) ),
inference(duplicate_literal_removal,[],[f1330]) ).
fof(f1344,plain,
~ sP6,
inference(forward_subsumption_resolution,[],[f1342,f276]) ).
fof(f1352,plain,
( ~ sP5
| ~ p1(sK90)
| ~ sP5 ),
inference(resolution,[],[f1317,f281]) ).
fof(f1353,plain,
( ~ p1(sK90)
| ~ sP5 ),
inference(duplicate_literal_removal,[],[f1352]) ).
fof(f1369,plain,
( ~ sP5
| ~ s1(sK90)
| ~ sP5 ),
inference(resolution,[],[f1353,f280]) ).
fof(f1380,plain,
( ~ sP5
| ~ s1(sK90) ),
inference(duplicate_literal_removal,[],[f1369]) ).
fof(f1381,plain,
~ sP5,
inference(forward_subsumption_resolution,[],[f1380,f282]) ).
fof(f1393,plain,
! [X0,X1] :
( ~ sP12
| r1(sK76)
| ~ p(X0,X1)
| ~ sP12 ),
inference(resolution,[],[f1303,f247]) ).
fof(f1396,plain,
! [X0,X1] :
( ~ p(X0,X1)
| r1(sK76)
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f1393]) ).
fof(f1405,plain,
( r1(sK76)
| ~ sP12
| r1(sK76)
| ~ sP12 ),
inference(resolution,[],[f1396,f245]) ).
fof(f1406,plain,
( r1(sK76)
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f1405]) ).
fof(f1409,plain,
! [X2,X0] :
( p(X2,sK93(X0))
| ~ sP3 ),
inference(forward_subsumption_resolution,[],[f292,f294]) ).
fof(f1415,plain,
! [X2,X3] :
( ~ p(X3,X2)
| ~ sP3 ),
inference(forward_subsumption_resolution,[],[f296,f294]) ).
fof(f1421,plain,
( ~ sP3
| ~ sP3 ),
inference(resolution,[],[f1415,f1409]) ).
fof(f1426,plain,
~ sP3,
inference(duplicate_literal_removal,[],[f1421]) ).
fof(f1430,plain,
! [X0] :
( g(X0)
| ~ e(X0)
| ~ sP1
| ~ p1(f(X0))
| ~ sP1 ),
inference(resolution,[],[f304,f308]) ).
fof(f1432,plain,
! [X0] :
( ~ p1(f(X0))
| ~ e(X0)
| ~ sP1
| g(X0) ),
inference(duplicate_literal_removal,[],[f1430]) ).
fof(f1433,plain,
! [X2] :
( ~ p1(X2)
| ~ r1(sK67)
| ~ q1(X2)
| ~ sP20 ),
inference(forward_subsumption_resolution,[],[f216,f215]) ).
fof(f1434,plain,
! [X2] :
( ~ p1(X2)
| ~ q1(X2)
| ~ sP20 ),
inference(forward_subsumption_resolution,[],[f1433,f215]) ).
fof(f1461,plain,
! [X0,X1] :
( ~ q1(f(X0))
| ~ sP20
| ~ q1(X1)
| ~ sP20 ),
inference(resolution,[],[f1434,f214]) ).
fof(f1470,plain,
! [X0,X1] :
( ~ q1(f(X0))
| ~ sP20
| ~ q1(X1) ),
inference(duplicate_literal_removal,[],[f1461]) ).
fof(f1474,plain,
! [X1] :
( ~ q1(X1)
| ~ sP20 ),
inference(forward_subsumption_resolution,[],[f1470,f213]) ).
fof(f1477,plain,
! [X2] :
( ~ p1(X2)
| ~ r1(sK69)
| ~ q1(X2)
| ~ sP19 ),
inference(forward_subsumption_resolution,[],[f220,f219]) ).
fof(f1478,plain,
! [X2] :
( ~ p1(X2)
| ~ q1(X2)
| ~ sP19 ),
inference(forward_subsumption_resolution,[],[f1477,f219]) ).
fof(f1487,plain,
( ~ sP20
| ~ sP20 ),
inference(resolution,[],[f1474,f213]) ).
fof(f1493,plain,
~ sP20,
inference(duplicate_literal_removal,[],[f1487]) ).
fof(f1519,plain,
! [X0,X1] :
( ~ q1(f(X0))
| ~ sP19
| ~ q1(X1)
| ~ sP19 ),
inference(resolution,[],[f1478,f218]) ).
fof(f1529,plain,
! [X0,X1] :
( ~ q1(f(X0))
| ~ sP19
| ~ q1(X1) ),
inference(duplicate_literal_removal,[],[f1519]) ).
fof(f1534,plain,
( sP18
| sP5
| sP10
| sP6
| sP3
| sP2
| sP12
| sP19
| sP1 ),
inference(resolution,[],[f1493,f1280]) ).
fof(f1535,plain,
( sP5
| sP10
| sP6
| sP3
| sP2
| sP12
| sP19
| sP1 ),
inference(forward_subsumption_resolution,[],[f1534,f1295]) ).
fof(f1536,plain,
( sP10
| sP6
| sP3
| sP2
| sP12
| sP19
| sP1 ),
inference(forward_subsumption_resolution,[],[f1535,f1381]) ).
fof(f1537,plain,
( sP10
| sP3
| sP2
| sP12
| sP19
| sP1 ),
inference(forward_subsumption_resolution,[],[f1536,f1344]) ).
fof(f1538,plain,
( sP19
| sP2
| sP12
| sP10
| sP1 ),
inference(forward_subsumption_resolution,[],[f1537,f1426]) ).
fof(f1539,plain,
! [X2] :
( ~ p1(X2)
| ~ r1(sK78)
| ~ q1(X2)
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f257,f256]) ).
fof(f1540,plain,
! [X2] :
( ~ p1(X2)
| ~ q1(X2)
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f1539,f256]) ).
fof(f1565,plain,
! [X0,X1] :
( ~ q1(f(X0))
| ~ sP10
| r1(X0)
| ~ q1(X1)
| ~ sP10 ),
inference(resolution,[],[f1540,f254]) ).
fof(f1576,plain,
! [X0,X1] :
( ~ q1(f(X0))
| ~ sP10
| r1(X0)
| ~ q1(X1) ),
inference(duplicate_literal_removal,[],[f1565]) ).
fof(f1581,plain,
! [X0,X1] :
( r1(X0)
| ~ sP10
| ~ q1(X1) ),
inference(forward_subsumption_resolution,[],[f1576,f253]) ).
fof(f1582,plain,
( g(sK97)
| ~ e(sK97)
| ~ sP1
| p1(f(sK97))
| ~ sP1 ),
inference(resolution,[],[f305,f303]) ).
fof(f1583,plain,
( g(sK97)
| ~ e(sK97)
| ~ sP1
| p1(f(sK97)) ),
inference(duplicate_literal_removal,[],[f1582]) ).
fof(f1584,plain,
( p1(f(sK97))
| ~ sP1
| g(sK97) ),
inference(forward_subsumption_resolution,[],[f1583,f306]) ).
fof(f1598,plain,
! [X0,X1] :
( ~ r1(sK79)
| ~ r1(sK78)
| ~ q1(X0)
| ~ sP10
| ~ q1(f(X1))
| ~ sP10 ),
inference(resolution,[],[f255,f1540]) ).
fof(f1599,plain,
! [X0,X1] :
( ~ r1(sK79)
| ~ r1(sK78)
| ~ q1(X0)
| ~ sP10
| ~ q1(f(X1)) ),
inference(duplicate_literal_removal,[],[f1598]) ).
fof(f1600,plain,
! [X0] :
( ~ r1(sK79)
| ~ r1(sK78)
| ~ q1(X0)
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f1599,f253]) ).
fof(f1638,plain,
! [X2,X0,X1] :
( eq(X0,X1)
| ~ a_member_of(sK96(X0,X1),X0)
| ~ sP2
| ~ a_member_of(sK96(X0,X1),X2)
| ~ eq(X1,X2)
| ~ sP2 ),
inference(resolution,[],[f300,f298]) ).
fof(f1642,plain,
! [X2,X0,X1] :
( ~ a_member_of(sK96(X0,X1),X2)
| ~ a_member_of(sK96(X0,X1),X0)
| ~ sP2
| eq(X0,X1)
| ~ eq(X1,X2) ),
inference(duplicate_literal_removal,[],[f1638]) ).
fof(f1646,plain,
! [X0] :
( ~ sP19
| ~ q1(X0)
| ~ sP19 ),
inference(resolution,[],[f1529,f217]) ).
fof(f1655,plain,
! [X0] :
( ~ q1(X0)
| ~ sP19 ),
inference(duplicate_literal_removal,[],[f1646]) ).
fof(f1665,plain,
( ~ sP19
| ~ sP19 ),
inference(resolution,[],[f1655,f217]) ).
fof(f1670,plain,
~ sP19,
inference(duplicate_literal_removal,[],[f1665]) ).
fof(f1671,plain,
( sP12
| sP2
| sP10
| sP1 ),
inference(resolution,[],[f1670,f1538]) ).
fof(f1687,plain,
! [X0,X1] :
( ~ sP12
| ~ r1(sK76)
| ~ p(X0,X1)
| ~ sP12 ),
inference(resolution,[],[f1304,f247]) ).
fof(f1690,plain,
! [X0,X1] :
( ~ sP12
| ~ r1(sK76)
| ~ p(X0,X1) ),
inference(duplicate_literal_removal,[],[f1687]) ).
fof(f1691,plain,
! [X0,X1] :
( ~ p(X0,X1)
| ~ sP12 ),
inference(forward_subsumption_resolution,[],[f1690,f1396]) ).
fof(f1702,plain,
! [X0] :
( ~ sP12
| ~ r1(X0)
| ~ sP12 ),
inference(resolution,[],[f1691,f246]) ).
fof(f1705,plain,
! [X0] :
( ~ r1(X0)
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f1702]) ).
fof(f1706,plain,
! [X0] :
( ~ r1(sK78)
| ~ q1(X0)
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f1600,f1581]) ).
fof(f1707,plain,
! [X0] :
( ~ q1(X0)
| ~ sP10 ),
inference(forward_subsumption_resolution,[],[f1706,f1581]) ).
fof(f1715,plain,
( ~ sP10
| ~ sP10 ),
inference(resolution,[],[f1707,f253]) ).
fof(f1722,plain,
~ sP10,
inference(duplicate_literal_removal,[],[f1715]) ).
fof(f1729,plain,
( ~ sP12
| ~ sP12 ),
inference(resolution,[],[f1705,f1406]) ).
fof(f1732,plain,
~ sP12,
inference(duplicate_literal_removal,[],[f1729]) ).
fof(f1733,plain,
( sP2
| sP10
| sP1 ),
inference(resolution,[],[f1732,f1671]) ).
fof(f1734,plain,
( sP2
| sP1 ),
inference(forward_subsumption_resolution,[],[f1733,f1722]) ).
fof(f1739,plain,
( ~ e(sK97)
| ~ sP1
| g(sK97)
| ~ sP1
| g(sK97) ),
inference(resolution,[],[f1432,f1584]) ).
fof(f1764,plain,
( ~ e(sK97)
| ~ sP1
| g(sK97) ),
inference(duplicate_literal_removal,[],[f1739]) ).
fof(f1765,plain,
( g(sK97)
| ~ sP1 ),
inference(forward_subsumption_resolution,[],[f1764,f306]) ).
fof(f1766,plain,
( ~ sP1
| ~ p1(sK97)
| ~ sP1 ),
inference(resolution,[],[f1765,f309]) ).
fof(f1767,plain,
( ~ sP1
| ~ p1(sK97) ),
inference(duplicate_literal_removal,[],[f1766]) ).
fof(f1768,plain,
~ sP1,
inference(forward_subsumption_resolution,[],[f1767,f307]) ).
fof(f1786,plain,
! [X0,X1] :
( ~ a_member_of(sK96(X0,X1),X0)
| ~ sP2
| eq(X0,X1)
| ~ eq(X1,X0) ),
inference(factoring,[],[f1642]) ).
fof(f1792,plain,
! [X2,X0,X1] :
( ~ sP2
| eq(X0,X1)
| ~ eq(X1,X0)
| ~ a_member_of(sK96(X0,X1),X2)
| ~ eq(X2,X0)
| ~ sP2 ),
inference(resolution,[],[f1786,f297]) ).
fof(f1793,plain,
! [X2,X0,X1] :
( ~ a_member_of(sK96(X0,X1),X2)
| eq(X0,X1)
| ~ eq(X1,X0)
| ~ sP2
| ~ eq(X2,X0) ),
inference(duplicate_literal_removal,[],[f1792]) ).
fof(f1796,plain,
! [X0,X1] :
( eq(X0,X1)
| ~ eq(X1,X0)
| ~ sP2
| ~ eq(X1,X0)
| eq(X0,X1)
| a_member_of(sK96(X0,X1),X0)
| ~ sP2 ),
inference(resolution,[],[f1793,f299]) ).
fof(f1801,plain,
! [X0,X1] :
( eq(X0,X1)
| ~ eq(X1,X0)
| ~ sP2
| a_member_of(sK96(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f1796]) ).
fof(f1802,plain,
! [X0,X1] :
( eq(X0,X1)
| ~ eq(X1,X0)
| ~ sP2 ),
inference(forward_subsumption_resolution,[],[f1801,f1786]) ).
fof(f1803,plain,
( ~ eq(sK94,sK95)
| ~ sP2
| ~ sP2 ),
inference(resolution,[],[f1802,f302]) ).
fof(f1804,plain,
( ~ eq(sK94,sK95)
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f1803]) ).
fof(f1805,plain,
~ sP2,
inference(forward_subsumption_resolution,[],[f1804,f301]) ).
fof(f1813,plain,
sP1,
inference(resolution,[],[f1805,f1734]) ).
fof(f1814,plain,
$false,
inference(forward_subsumption_resolution,[],[f1813,f1768]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.08/0.17 % Computer : n018.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 17:15:40 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/0.94 % (3549822)Detected formulas, will run a generic FOF schedule.
% 0.64/0.94 % (3549831)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1647040594:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.64/0.94 % (3549831)First to succeed.
% 0.64/0.94 % (3549831)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3549822"
% 0.64/0.94 % (3549830)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1789672133:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.64/0.94 % (3549827)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1467821635:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.64/0.94 % (3549828)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3604602591:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.64/0.94 % (3549829)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2341945900:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.64/0.94 % (3549832)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1999109586:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.64/0.94 % (3549833)dis-21_1_sil=8000:lcm=predicate:random_seed=2202425589:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.64/0.94 % (3549830)Refutation not found, incomplete strategy
% 0.64/0.94 % (3549830)------------------------------
% 0.64/0.94 % (3549830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.94 % (3549830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.94 % (3549830)CaDiCaL version: 2.1.3
% 0.64/0.94 % (3549830)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.94 % (3549830)Time elapsed: 0.013 s
% 0.64/0.94 % (3549830)Peak memory usage: 89 MB
% 0.64/0.94 % (3549830)Instructions burned: 23 (million)
% 0.64/0.94 % (3549832)Also succeeded, but the first one will report.
% 0.64/0.94 % (3549833)Also succeeded, but the first one will report.
% 0.64/0.94 % (3549831)Refutation found. Thanks to Tanya!
% 0.64/0.94 % SZS status Theorem for theBenchmark
% 0.64/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.14 % (3549831)------------------------------
% 0.20/1.14 % (3549831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (3549831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (3549831)CaDiCaL version: 2.1.3
% 0.20/1.14 % (3549831)Termination reason: Refutation
% 0.20/1.14 % (3549831)Time elapsed: 0.021 s
% 0.20/1.14 % (3549831)Peak memory usage: 88 MB
% 0.20/1.14 % (3549831)Instructions burned: 81 (million)
% 0.20/1.14 % (3549831)------------------------------
% 0.20/1.14 % (3549831)------------------------------
% 0.20/1.14 % (3549822)Success in time 0.293 s
% 0.20/1.14 % Vampire exiting
%------------------------------------------------------------------------------