%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN938+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 03:45:28 PM UTC 2026
% Result : Theorem 2.84s 1.07s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 41
% Syntax : Number of formulae : 679 ( 38 unt; 40 def)
% Number of atoms : 6643 ( 0 equ)
% Maximal formula atoms : 203 ( 9 avg)
% Number of connectives : 7595 (1631 ~;4564 |;1003 &)
% ( 37 <=>; 348 =>; 0 <=; 12 <~>)
% Maximal formula depth : 56 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 67 ( 66 usr; 51 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 57 con; 0-2 aty)
% Number of variables : 1937 ( 0 sgn1373 !; 564 ?; 435 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( ? [X4] :
( q1(X4)
=> r1(X4) )
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( ( q(f(X1),X1)
=> q(X3,X4) )
& p(X3,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( s1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1)
& r1(X5)
& ( r1(X4)
=> p(X1,X4) )
& q1(X1)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) ) )
=> p(X5,X1) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X5] :
( ( ! [X3] :
( q1(X3)
& p1(X3) )
& ( g0
| f0 ) )
=> q1(X5) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( b(X3)
| a1(X3) ) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( b(X3)
& a1(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( ? [X4] : q1(X4)
& ! [X3] : p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( ( s(X5,X4)
=> p1(X4) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& e(X5)
& p1(X5) )
=> ( ( c(X8)
& p1(X8) )
| ( g(X7)
& p1(X7) ) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( c(X3)
| b(X3) ) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ( ( ( ? [X4] :
( q1(X4)
=> r1(X4) )
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( ( q(f(X1),X1)
=> q(X3,X4) )
& p(X3,X4) ) )
& ! [X5,X1] :
? [X3,X4] :
( ( s1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1)
& r1(X5)
& ( r1(X4)
=> p(X1,X4) )
& q1(X1)
& q1(X5)
& ( q1(X3)
=> p(X3,X5) ) )
=> p(X5,X1) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X5] :
( ( ! [X3] :
( q1(X3)
& p1(X3) )
& ( g0
| f0 ) )
=> q1(X5) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X1] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ! [X1] :
( ( r1(X1)
& ! [X3] :
( p1(X3)
=> q1(X3) ) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X5,X1] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X4,X2)
& p(X2,X4) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ? [X3] : p1(X3)
<=> ? [X4] : p1(X4) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X4,X3] : a(X3,X4) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( b(X3)
| a1(X3) ) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( b(X3)
& a1(X3) ) )
& ~ ? [X4] :
! [X3] :
( a(X3,X4)
<=> ~ a(X3,X3) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ? [X3] : p1(X3)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X3] : p1(X3) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( q1(X3)
=> p1(X1) )
& ( p1(X3)
=> p1(X5) ) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ( ? [X4] : q1(X4)
& ! [X3] : p1(X3) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ! [X3] : p1(X3)
=> ! [X5,X1] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1,X0] :
( ( ! [X3,X4] :
( r(X3,X4)
=> q(X3,X4) )
& ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( q(X3,X4)
& p1(X3) ) )
& ! [X5] :
? [X3,X6,X7,X8,X4] :
( ( ( s(X5,X4)
=> p1(X4) )
& ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( e(X3)
=> ( s(X3,f(X3))
| g(X3) ) )
& e(X5)
& p1(X5) )
=> ( ( c(X8)
& p1(X8) )
| ( g(X7)
& p1(X7) ) ) )
& ( ( ~ ! [X3] :
( a1(X3)
=> b(X3) )
& ! [X3] :
( a1(X3)
=> ( c(X3)
| b(X3) ) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X1,X0] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& p1(X3) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ( ? [X139] :
( q1(X139)
=> r1(X139) )
& ! [X138] :
( p1(X138)
=> q1(X138) ) )
=> ? [X140] :
( p1(X140)
=> r1(X140) ) )
& ! [X134] :
( ! [X135] :
( ( r1(X134)
=> r1(X135) )
=> p(f(X135),X135) )
=> ? [X136,X137] :
( ( q(f(X134),X134)
=> q(X136,X137) )
& p(X136,X137) ) )
& ! [X130,X131] :
? [X132,X133] :
( ( s1(X130)
& ( s1(X130)
=> p(X132,X133) )
& r1(X131)
& r1(X130)
& ( r1(X133)
=> p(X131,X133) )
& q1(X131)
& q1(X130)
& ( q1(X132)
=> p(X132,X130) ) )
=> p(X130,X131) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X128] :
( ( ! [X129] :
( q1(X129)
& p1(X129) )
& ( g0
| f0 ) )
=> q1(X128) )
& ( ! [X125,X126] : p(X125,X126)
=> ! [X127] : p(X127,X127) )
& ( ? [X123] : p1(X123)
=> ? [X124] : p1(X124) )
& ( p1(z)
=> p1(z) )
& ( ? [X119] :
! [X120] : p(X119,X120)
=> ! [X121] :
? [X122] : p(X122,X121) )
& ? [X117] :
( ? [X118] : p1(X118)
=> p1(X117) )
& ! [X113,X114] :
? [X115,X116] :
( ( p1(X115)
=> r1(X116) )
=> ( p1(X113)
=> r1(X114) ) )
& ! [X110] :
( ( r1(X110)
& ! [X111] :
( p1(X111)
=> q1(X111) ) )
=> ( ! [X112] :
( r1(X112)
=> p1(X112) )
=> q1(X110) ) )
& ? [X108] :
! [X109] :
( p1(X108)
=> p1(X109) )
& ! [X104,X105] :
( ! [X106] :
( q1(X106)
=> p1(X106) )
=> ? [X107] :
( ( q1(X107)
=> p1(X105) )
& ( p1(X107)
=> p1(X104) ) ) )
& ( ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) )
=> ! [X102,X103] :
( eq(X102,X103)
=> eq(X103,X102) ) )
& ? [X95] :
! [X96] :
? [X97] :
( ( ( p(X97,X95)
& p(X95,X97) )
=> p(X97,X96) )
& ( p(X97,X96)
=> ? [X98] : p(X98,X97) ) )
& ( ? [X93] : p1(X93)
=> ? [X94] : p1(X94) )
& ( ? [X91] : p1(X91)
<=> ? [X92] : p1(X92) )
& ( ! [X88] : p1(X88)
=> ( ! [X90] : p1(X90)
& ! [X89] : p1(X89) ) )
& ! [X85,X86] :
( ! [X87] : p1(X87)
=> ( p1(X86)
& p1(X85) ) )
& ( ? [X81,X82] : a(X81,X82)
<=> ? [X83,X84] : a(X84,X83) )
& ( ? [X79] : b(X79)
=> ? [X80] :
( b(X80)
| a1(X80) ) )
& ( ( ! [X77] : b(X77)
& ? [X76] : a1(X76) )
=> ? [X78] :
( b(X78)
& a1(X78) ) )
& ~ ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
& ( ? [X71] :
( a1(X71)
=> b(X71) )
=> ( ! [X72] : a1(X72)
=> ? [X73] : b(X73) ) )
& ( ! [X68] :
( a1(X68)
=> b(X68) )
=> ( ? [X69] : a1(X69)
=> ? [X70] : b(X70) ) )
& ! [X64,X65] :
( ! [X66] :
( q1(X66)
=> p1(X66) )
=> ? [X67] :
( ( q1(X67)
=> p1(X65) )
& ( p1(X67)
=> p1(X64) ) ) )
& ( ! [X61] :
( p1(X61)
=> q1(X61) )
=> ( ! [X62] : p1(X62)
=> ! [X63] : q1(X63) ) )
& ( ! [X59] : p1(X59)
=> ? [X60] : p1(X60) )
& ( ? [X57] : p1(X57)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X58] : p1(X58) ) )
& ! [X53,X54] :
( ! [X55] :
( q1(X55)
=> p1(X55) )
=> ? [X56] :
( ( q1(X56)
=> p1(X54) )
& ( p1(X56)
=> p1(X53) ) ) )
& ! [X45,X46,X47] :
( ( ! [X49,X50] :
( r(X49,X50)
=> q(X49,X50) )
& ! [X48] :
( s1(X48)
=> p1(X48) )
& r(X46,X47)
& s1(X46)
& s1(X45) )
=> ? [X51,X52] :
( q(X51,X52)
& p1(X51) ) )
& ( ! [X42] :
? [X43] :
( a(X43,X43)
& a(X42,X43) )
=> ? [X44] : a(X44,X44) )
& ( ! [X38] :
? [X39] :
( q1(X39)
& p1(X38) )
=> ? [X40] :
! [X41] :
( r1(X40)
| p1(X41) ) )
& ( ( ? [X35] : q1(X35)
& ! [X34] : p1(X34) )
=> ? [X36] :
! [X37] :
( r1(X36)
| p1(X37) ) )
& ( ! [X31] : p1(X31)
=> ! [X32,X33] :
( p1(X33)
& p1(X32) ) )
& ! [X23,X24,X25] :
( ( ! [X27,X28] :
( r(X27,X28)
=> q(X27,X28) )
& ! [X26] :
( s1(X26)
=> p1(X26) )
& r(X24,X25)
& s1(X24)
& s1(X23) )
=> ? [X29,X30] :
( q(X29,X30)
& p1(X29) ) )
& ! [X17] :
? [X18,X19,X20,X21,X22] :
( ( ( s(X17,X22)
=> p1(X22) )
& ( e(X19)
=> ( c(f(X19))
| g(X19) ) )
& ( e(X18)
=> ( s(X18,f(X18))
| g(X18) ) )
& e(X17)
& p1(X17) )
=> ( ( c(X21)
& p1(X21) )
| ( g(X20)
& p1(X20) ) ) )
& ( ( ~ ! [X15] :
( a1(X15)
=> b(X15) )
& ! [X14] :
( a1(X14)
=> ( c(X14)
| b(X14) ) ) )
=> ? [X16] :
( c(X16)
& a1(X16) ) )
& ! [X10,X11] :
( q1(f(X10))
=> ? [X12,X13] :
( q1(X12)
& ( p1(f(X13))
=> ( ( r1(X13)
=> ( r1(X11)
& r1(X10) ) )
& p1(X12) ) ) ) )
& ! [X5,X6] :
( ! [X7] : q1(f(X7))
=> ? [X8,X9] :
( q1(X8)
& ( p1(f(X9))
=> ( ( r1(X9)
=> ( r1(X6)
& r1(X5) ) )
& p1(X8) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ( ( ( ? [X139] :
( q1(X139)
=> r1(X139) )
& ! [X138] :
( p1(X138)
=> q1(X138) ) )
=> ? [X140] :
( p1(X140)
=> r1(X140) ) )
& ! [X134] :
( ! [X135] :
( ( r1(X134)
=> r1(X135) )
=> p(f(X135),X135) )
=> ? [X136,X137] :
( ( q(f(X134),X134)
=> q(X136,X137) )
& p(X136,X137) ) )
& ! [X130,X131] :
? [X132,X133] :
( ( s1(X130)
& ( s1(X130)
=> p(X132,X133) )
& r1(X131)
& r1(X130)
& ( r1(X133)
=> p(X131,X133) )
& q1(X131)
& q1(X130)
& ( q1(X132)
=> p(X132,X130) ) )
=> p(X130,X131) )
& ( ( b0
& a0 )
=> ( a0
<=> b0 ) )
& ( b0
| a0
| ( a0
<=> b0 ) )
& ! [X128] :
( ! [X129] :
( q1(X129)
& p1(X129) )
=> q1(X128) )
& ( ! [X125,X126] : p(X125,X126)
=> ! [X127] : p(X127,X127) )
& ( ? [X123] : p1(X123)
=> ? [X124] : p1(X124) )
& ( p1(z)
=> p1(z) )
& ( ? [X119] :
! [X120] : p(X119,X120)
=> ! [X121] :
? [X122] : p(X122,X121) )
& ? [X117] :
( ? [X118] : p1(X118)
=> p1(X117) )
& ! [X113,X114] :
? [X115,X116] :
( ( p1(X115)
=> r1(X116) )
=> ( p1(X113)
=> r1(X114) ) )
& ! [X110] :
( ( r1(X110)
& ! [X111] :
( p1(X111)
=> q1(X111) ) )
=> ( ! [X112] :
( r1(X112)
=> p1(X112) )
=> q1(X110) ) )
& ? [X108] :
! [X109] :
( p1(X108)
=> p1(X109) )
& ! [X104,X105] :
( ! [X106] :
( q1(X106)
=> p1(X106) )
=> ? [X107] :
( ( q1(X107)
=> p1(X105) )
& ( p1(X107)
=> p1(X104) ) ) )
& ( ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) )
=> ! [X102,X103] :
( eq(X102,X103)
=> eq(X103,X102) ) )
& ? [X95] :
! [X96] :
? [X97] :
( ( ( p(X97,X95)
& p(X95,X97) )
=> p(X97,X96) )
& ( p(X97,X96)
=> ? [X98] : p(X98,X97) ) )
& ( ? [X93] : p1(X93)
=> ? [X94] : p1(X94) )
& ( ? [X91] : p1(X91)
<=> ? [X92] : p1(X92) )
& ( ! [X88] : p1(X88)
=> ( ! [X90] : p1(X90)
& ! [X89] : p1(X89) ) )
& ! [X85,X86] :
( ! [X87] : p1(X87)
=> ( p1(X86)
& p1(X85) ) )
& ( ? [X81,X82] : a(X81,X82)
<=> ? [X83,X84] : a(X84,X83) )
& ( ? [X79] : b(X79)
=> ? [X80] :
( b(X80)
| a1(X80) ) )
& ( ( ! [X77] : b(X77)
& ? [X76] : a1(X76) )
=> ? [X78] :
( b(X78)
& a1(X78) ) )
& ~ ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
& ( ? [X71] :
( a1(X71)
=> b(X71) )
=> ( ! [X72] : a1(X72)
=> ? [X73] : b(X73) ) )
& ( ! [X68] :
( a1(X68)
=> b(X68) )
=> ( ? [X69] : a1(X69)
=> ? [X70] : b(X70) ) )
& ! [X64,X65] :
( ! [X66] :
( q1(X66)
=> p1(X66) )
=> ? [X67] :
( ( q1(X67)
=> p1(X65) )
& ( p1(X67)
=> p1(X64) ) ) )
& ( ! [X61] :
( p1(X61)
=> q1(X61) )
=> ( ! [X62] : p1(X62)
=> ! [X63] : q1(X63) ) )
& ( ! [X59] : p1(X59)
=> ? [X60] : p1(X60) )
& ( ? [X57] : p1(X57)
=> ( ( a0
=> ( ( q0
=> q0 )
& ( ~ b0
| b0 ) ) )
& ? [X58] : p1(X58) ) )
& ! [X53,X54] :
( ! [X55] :
( q1(X55)
=> p1(X55) )
=> ? [X56] :
( ( q1(X56)
=> p1(X54) )
& ( p1(X56)
=> p1(X53) ) ) )
& ! [X45,X46,X47] :
( ( ! [X49,X50] :
( r(X49,X50)
=> q(X49,X50) )
& ! [X48] :
( s1(X48)
=> p1(X48) )
& r(X46,X47)
& s1(X46)
& s1(X45) )
=> ? [X51,X52] :
( q(X51,X52)
& p1(X51) ) )
& ( ! [X42] :
? [X43] :
( a(X43,X43)
& a(X42,X43) )
=> ? [X44] : a(X44,X44) )
& ( ! [X38] :
? [X39] :
( q1(X39)
& p1(X38) )
=> ? [X40] :
! [X41] :
( r1(X40)
| p1(X41) ) )
& ( ( ? [X35] : q1(X35)
& ! [X34] : p1(X34) )
=> ? [X36] :
! [X37] :
( r1(X36)
| p1(X37) ) )
& ( ! [X31] : p1(X31)
=> ! [X32,X33] :
( p1(X33)
& p1(X32) ) )
& ! [X23,X24,X25] :
( ( ! [X27,X28] :
( r(X27,X28)
=> q(X27,X28) )
& ! [X26] :
( s1(X26)
=> p1(X26) )
& r(X24,X25)
& s1(X24)
& s1(X23) )
=> ? [X29,X30] :
( q(X29,X30)
& p1(X29) ) )
& ! [X17] :
? [X18,X19,X20,X21,X22] :
( ( ( s(X17,X22)
=> p1(X22) )
& ( e(X19)
=> ( c(f(X19))
| g(X19) ) )
& ( e(X18)
=> ( s(X18,f(X18))
| g(X18) ) )
& e(X17)
& p1(X17) )
=> ( ( c(X21)
& p1(X21) )
| ( g(X20)
& p1(X20) ) ) )
& ( ( ~ ! [X15] :
( a1(X15)
=> b(X15) )
& ! [X14] :
( a1(X14)
=> ( c(X14)
| b(X14) ) ) )
=> ? [X16] :
( c(X16)
& a1(X16) ) )
& ! [X10,X11] :
( q1(f(X10))
=> ? [X12,X13] :
( q1(X12)
& ( p1(f(X13))
=> ( ( r1(X13)
=> ( r1(X11)
& r1(X10) ) )
& p1(X12) ) ) ) )
& ! [X5,X6] :
( ! [X7] : q1(f(X7))
=> ? [X8,X9] :
( q1(X8)
& ( p1(f(X9))
=> ( ( r1(X9)
=> ( r1(X6)
& r1(X5) ) )
& p1(X8) ) ) ) )
& ! [X0,X1] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& ( p1(f(X4))
=> p1(X3) ) ) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f5,plain,
( ( ? [X139] :
( ~ q1(X139)
| r1(X139) )
& ! [X138] :
( ~ p1(X138)
| q1(X138) )
& ! [X140] :
( p1(X140)
& ~ r1(X140) ) )
| ? [X134] :
( ! [X135] :
( ( r1(X134)
& ~ r1(X135) )
| p(f(X135),X135) )
& ! [X136,X137] :
( ( q(f(X134),X134)
& ~ q(X136,X137) )
| ~ p(X136,X137) ) )
| ? [X130,X131] :
! [X132,X133] :
( s1(X130)
& ( ~ s1(X130)
| p(X132,X133) )
& r1(X131)
& r1(X130)
& ( ~ r1(X133)
| p(X131,X133) )
& q1(X131)
& q1(X130)
& ( ~ q1(X132)
| p(X132,X130) )
& ~ p(X130,X131) )
| ( b0
& a0
& ( a0
<~> b0 ) )
| ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ? [X128] :
( ! [X129] :
( q1(X129)
& p1(X129) )
& ~ q1(X128) )
| ( ! [X125,X126] : p(X125,X126)
& ? [X127] : ~ p(X127,X127) )
| ( ? [X123] : p1(X123)
& ! [X124] : ~ p1(X124) )
| ( p1(z)
& ~ p1(z) )
| ( ? [X119] :
! [X120] : p(X119,X120)
& ? [X121] :
! [X122] : ~ p(X122,X121) )
| ! [X117] :
( ? [X118] : p1(X118)
& ~ p1(X117) )
| ? [X113,X114] :
! [X115,X116] :
( ( ~ p1(X115)
| r1(X116) )
& p1(X113)
& ~ r1(X114) )
| ? [X110] :
( r1(X110)
& ! [X111] :
( ~ p1(X111)
| q1(X111) )
& ! [X112] :
( ~ r1(X112)
| p1(X112) )
& ~ q1(X110) )
| ! [X108] :
? [X109] :
( p1(X108)
& ~ p1(X109) )
| ? [X104,X105] :
( ! [X106] :
( ~ q1(X106)
| p1(X106) )
& ! [X107] :
( ( q1(X107)
& ~ p1(X105) )
| ( p1(X107)
& ~ p1(X104) ) ) )
| ( ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) )
& ? [X102,X103] :
( eq(X102,X103)
& ~ eq(X103,X102) ) )
| ! [X95] :
? [X96] :
! [X97] :
( ( p(X97,X95)
& p(X95,X97)
& ~ p(X97,X96) )
| ( p(X97,X96)
& ! [X98] : ~ p(X98,X97) ) )
| ( ? [X93] : p1(X93)
& ! [X94] : ~ p1(X94) )
| ( ? [X91] : p1(X91)
<~> ? [X92] : p1(X92) )
| ( ! [X88] : p1(X88)
& ( ? [X90] : ~ p1(X90)
| ? [X89] : ~ p1(X89) ) )
| ? [X85,X86] :
( ! [X87] : p1(X87)
& ( ~ p1(X86)
| ~ p1(X85) ) )
| ( ? [X81,X82] : a(X81,X82)
<~> ? [X83,X84] : a(X84,X83) )
| ( ? [X79] : b(X79)
& ! [X80] :
( ~ b(X80)
& ~ a1(X80) ) )
| ( ! [X77] : b(X77)
& ? [X76] : a1(X76)
& ! [X78] :
( ~ b(X78)
| ~ a1(X78) ) )
| ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
| ( ? [X71] :
( ~ a1(X71)
| b(X71) )
& ! [X72] : a1(X72)
& ! [X73] : ~ b(X73) )
| ( ! [X68] :
( ~ a1(X68)
| b(X68) )
& ? [X69] : a1(X69)
& ! [X70] : ~ b(X70) )
| ? [X64,X65] :
( ! [X66] :
( ~ q1(X66)
| p1(X66) )
& ! [X67] :
( ( q1(X67)
& ~ p1(X65) )
| ( p1(X67)
& ~ p1(X64) ) ) )
| ( ! [X61] :
( ~ p1(X61)
| q1(X61) )
& ! [X62] : p1(X62)
& ? [X63] : ~ q1(X63) )
| ( ! [X59] : p1(X59)
& ! [X60] : ~ p1(X60) )
| ( ? [X57] : p1(X57)
& ( ( a0
& ( ( q0
& ~ q0 )
| ( b0
& ~ b0 ) ) )
| ! [X58] : ~ p1(X58) ) )
| ? [X53,X54] :
( ! [X55] :
( ~ q1(X55)
| p1(X55) )
& ! [X56] :
( ( q1(X56)
& ~ p1(X54) )
| ( p1(X56)
& ~ p1(X53) ) ) )
| ? [X45,X46,X47] :
( ! [X49,X50] :
( ~ r(X49,X50)
| q(X49,X50) )
& ! [X48] :
( ~ s1(X48)
| p1(X48) )
& r(X46,X47)
& s1(X46)
& s1(X45)
& ! [X51,X52] :
( ~ q(X51,X52)
| ~ p1(X51) ) )
| ( ! [X42] :
? [X43] :
( a(X43,X43)
& a(X42,X43) )
& ! [X44] : ~ a(X44,X44) )
| ( ! [X38] :
? [X39] :
( q1(X39)
& p1(X38) )
& ! [X40] :
? [X41] :
( ~ r1(X40)
& ~ p1(X41) ) )
| ( ? [X35] : q1(X35)
& ! [X34] : p1(X34)
& ! [X36] :
? [X37] :
( ~ r1(X36)
& ~ p1(X37) ) )
| ( ! [X31] : p1(X31)
& ? [X32,X33] :
( ~ p1(X33)
| ~ p1(X32) ) )
| ? [X23,X24,X25] :
( ! [X27,X28] :
( ~ r(X27,X28)
| q(X27,X28) )
& ! [X26] :
( ~ s1(X26)
| p1(X26) )
& r(X24,X25)
& s1(X24)
& s1(X23)
& ! [X29,X30] :
( ~ q(X29,X30)
| ~ p1(X29) ) )
| ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ s(X17,X22)
| p1(X22) )
& ( ~ e(X19)
| c(f(X19))
| g(X19) )
& ( ~ e(X18)
| s(X18,f(X18))
| g(X18) )
& e(X17)
& p1(X17)
& ( ~ c(X21)
| ~ p1(X21) )
& ( ~ g(X20)
| ~ p1(X20) ) )
| ( ? [X15] :
( a1(X15)
& ~ b(X15) )
& ! [X14] :
( ~ a1(X14)
| c(X14)
| b(X14) )
& ! [X16] :
( ~ c(X16)
| ~ a1(X16) ) )
| ? [X10,X11] :
( q1(f(X10))
& ! [X12,X13] :
( ~ q1(X12)
| ( p1(f(X13))
& ( ( r1(X13)
& ( ~ r1(X11)
| ~ r1(X10) ) )
| ~ p1(X12) ) ) ) )
| ? [X5,X6] :
( ! [X7] : q1(f(X7))
& ! [X8,X9] :
( ~ q1(X8)
| ( p1(f(X9))
& ( ( r1(X9)
& ( ~ r1(X6)
| ~ r1(X5) ) )
| ~ p1(X8) ) ) ) )
| ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ~ q1(X3)
| ( r1(X4)
& ( ~ r1(X0)
| ~ r1(X1) ) )
| ( p1(f(X4))
& ~ p1(X3) ) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
( ( ? [X139] :
( ~ q1(X139)
| r1(X139) )
& ! [X138] :
( ~ p1(X138)
| q1(X138) )
& ! [X140] :
( p1(X140)
& ~ r1(X140) ) )
| ? [X134] :
( ! [X135] :
( ( r1(X134)
& ~ r1(X135) )
| p(f(X135),X135) )
& ! [X136,X137] :
( ( q(f(X134),X134)
& ~ q(X136,X137) )
| ~ p(X136,X137) ) )
| ? [X130,X131] :
! [X132,X133] :
( s1(X130)
& ( ~ s1(X130)
| p(X132,X133) )
& r1(X131)
& r1(X130)
& ( ~ r1(X133)
| p(X131,X133) )
& q1(X131)
& q1(X130)
& ( ~ q1(X132)
| p(X132,X130) )
& ~ p(X130,X131) )
| ( b0
& a0
& ( a0
<~> b0 ) )
| ( ~ b0
& ~ a0
& ( a0
<~> b0 ) )
| ? [X128] :
( ! [X129] :
( q1(X129)
& p1(X129) )
& ~ q1(X128) )
| ( ! [X125,X126] : p(X125,X126)
& ? [X127] : ~ p(X127,X127) )
| ( ? [X123] : p1(X123)
& ! [X124] : ~ p1(X124) )
| ( p1(z)
& ~ p1(z) )
| ( ? [X119] :
! [X120] : p(X119,X120)
& ? [X121] :
! [X122] : ~ p(X122,X121) )
| ! [X117] :
( ? [X118] : p1(X118)
& ~ p1(X117) )
| ? [X113,X114] :
! [X115,X116] :
( ( ~ p1(X115)
| r1(X116) )
& p1(X113)
& ~ r1(X114) )
| ? [X110] :
( r1(X110)
& ! [X111] :
( ~ p1(X111)
| q1(X111) )
& ! [X112] :
( ~ r1(X112)
| p1(X112) )
& ~ q1(X110) )
| ! [X108] :
? [X109] :
( p1(X108)
& ~ p1(X109) )
| ? [X104,X105] :
( ! [X106] :
( ~ q1(X106)
| p1(X106) )
& ! [X107] :
( ( q1(X107)
& ~ p1(X105) )
| ( p1(X107)
& ~ p1(X104) ) ) )
| ( ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) )
& ? [X102,X103] :
( eq(X102,X103)
& ~ eq(X103,X102) ) )
| ! [X95] :
? [X96] :
! [X97] :
( ( p(X97,X95)
& p(X95,X97)
& ~ p(X97,X96) )
| ( p(X97,X96)
& ! [X98] : ~ p(X98,X97) ) )
| ( ? [X93] : p1(X93)
& ! [X94] : ~ p1(X94) )
| ( ? [X91] : p1(X91)
<~> ? [X92] : p1(X92) )
| ( ! [X88] : p1(X88)
& ( ? [X90] : ~ p1(X90)
| ? [X89] : ~ p1(X89) ) )
| ? [X85,X86] :
( ! [X87] : p1(X87)
& ( ~ p1(X86)
| ~ p1(X85) ) )
| ( ? [X81,X82] : a(X81,X82)
<~> ? [X83,X84] : a(X84,X83) )
| ( ? [X79] : b(X79)
& ! [X80] :
( ~ b(X80)
& ~ a1(X80) ) )
| ( ! [X77] : b(X77)
& ? [X76] : a1(X76)
& ! [X78] :
( ~ b(X78)
| ~ a1(X78) ) )
| ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
| ( ? [X71] :
( ~ a1(X71)
| b(X71) )
& ! [X72] : a1(X72)
& ! [X73] : ~ b(X73) )
| ( ! [X68] :
( ~ a1(X68)
| b(X68) )
& ? [X69] : a1(X69)
& ! [X70] : ~ b(X70) )
| ? [X64,X65] :
( ! [X66] :
( ~ q1(X66)
| p1(X66) )
& ! [X67] :
( ( q1(X67)
& ~ p1(X65) )
| ( p1(X67)
& ~ p1(X64) ) ) )
| ( ! [X61] :
( ~ p1(X61)
| q1(X61) )
& ! [X62] : p1(X62)
& ? [X63] : ~ q1(X63) )
| ( ! [X59] : p1(X59)
& ! [X60] : ~ p1(X60) )
| ( ? [X57] : p1(X57)
& ( ( a0
& ( ( q0
& ~ q0 )
| ( b0
& ~ b0 ) ) )
| ! [X58] : ~ p1(X58) ) )
| ? [X53,X54] :
( ! [X55] :
( ~ q1(X55)
| p1(X55) )
& ! [X56] :
( ( q1(X56)
& ~ p1(X54) )
| ( p1(X56)
& ~ p1(X53) ) ) )
| ? [X45,X46,X47] :
( ! [X49,X50] :
( ~ r(X49,X50)
| q(X49,X50) )
& ! [X48] :
( ~ s1(X48)
| p1(X48) )
& r(X46,X47)
& s1(X46)
& s1(X45)
& ! [X51,X52] :
( ~ q(X51,X52)
| ~ p1(X51) ) )
| ( ! [X42] :
? [X43] :
( a(X43,X43)
& a(X42,X43) )
& ! [X44] : ~ a(X44,X44) )
| ( ! [X38] :
? [X39] :
( q1(X39)
& p1(X38) )
& ! [X40] :
? [X41] :
( ~ r1(X40)
& ~ p1(X41) ) )
| ( ? [X35] : q1(X35)
& ! [X34] : p1(X34)
& ! [X36] :
? [X37] :
( ~ r1(X36)
& ~ p1(X37) ) )
| ( ! [X31] : p1(X31)
& ? [X32,X33] :
( ~ p1(X33)
| ~ p1(X32) ) )
| ? [X23,X24,X25] :
( ! [X27,X28] :
( ~ r(X27,X28)
| q(X27,X28) )
& ! [X26] :
( ~ s1(X26)
| p1(X26) )
& r(X24,X25)
& s1(X24)
& s1(X23)
& ! [X29,X30] :
( ~ q(X29,X30)
| ~ p1(X29) ) )
| ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ s(X17,X22)
| p1(X22) )
& ( ~ e(X19)
| c(f(X19))
| g(X19) )
& ( ~ e(X18)
| s(X18,f(X18))
| g(X18) )
& e(X17)
& p1(X17)
& ( ~ c(X21)
| ~ p1(X21) )
& ( ~ g(X20)
| ~ p1(X20) ) )
| ( ? [X15] :
( a1(X15)
& ~ b(X15) )
& ! [X14] :
( ~ a1(X14)
| c(X14)
| b(X14) )
& ! [X16] :
( ~ c(X16)
| ~ a1(X16) ) )
| ? [X10,X11] :
( q1(f(X10))
& ! [X12,X13] :
( ~ q1(X12)
| ( p1(f(X13))
& ( ( r1(X13)
& ( ~ r1(X11)
| ~ r1(X10) ) )
| ~ p1(X12) ) ) ) )
| ? [X5,X6] :
( ! [X7] : q1(f(X7))
& ! [X8,X9] :
( ~ q1(X8)
| ( p1(f(X9))
& ( ( r1(X9)
& ( ~ r1(X6)
| ~ r1(X5) ) )
| ~ p1(X8) ) ) ) )
| ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ~ q1(X3)
| ( r1(X4)
& ( ~ r1(X0)
| ~ r1(X1) ) )
| ( p1(f(X4))
& ~ p1(X3) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f48,plain,
( ~ sP39
| ( ( ? [X81,X82] : a(X81,X82)
| ? [X83,X84] : a(X84,X83) )
& ( ! [X81,X82] : ~ a(X81,X82)
| ! [X83,X84] : ~ a(X84,X83) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f49,plain,
( ~ sP39
| ( ( ? [X6,X7] : a(X6,X7)
| ? [X4,X5] : a(X5,X4) )
& ( ! [X2,X3] : ~ a(X2,X3)
| ! [X0,X1] : ~ a(X1,X0) ) ) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
( ~ sP39
| ( ( a(sK42,sK43)
| a(sK41,sK40) )
& ( ! [X2,X3] : ~ a(X2,X3)
| ! [X0,X1] : ~ a(X1,X0) ) ) ),
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,
( ~ sP38
| ? [X85,X86] :
( ! [X87] : p1(X87)
& ( ~ p1(X86)
| ~ p1(X85) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f52,plain,
( ~ sP38
| ? [X0,X1] :
( ! [X2] : p1(X2)
& ( ~ p1(X1)
| ~ p1(X0) ) ) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
( ~ sP38
| ( ! [X2] : p1(X2)
& ( ~ p1(sK45)
| ~ p1(sK44) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45]),skolemize(X0,sK44),skolemize(X1,sK45)],[f52]) ).
fof(f54,plain,
( ~ sP37
| ( ! [X88] : p1(X88)
& ( ? [X90] : ~ p1(X90)
| ? [X89] : ~ p1(X89) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f55,plain,
( ~ sP37
| ( ! [X2] : p1(X2)
& ( ? [X1] : ~ p1(X1)
| ? [X0] : ~ p1(X0) ) ) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
( ~ sP37
| ( ! [X2] : p1(X2)
& ( ~ p1(sK47)
| ~ p1(sK46) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47]),skolemize(X0,sK46),skolemize(X1,sK47)],[f55]) ).
fof(f57,plain,
( ~ sP36
| ( ( ? [X91] : p1(X91)
| ? [X92] : p1(X92) )
& ( ! [X91] : ~ p1(X91)
| ! [X92] : ~ p1(X92) ) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f58,plain,
( ~ sP36
| ( ( ? [X3] : p1(X3)
| ? [X2] : p1(X2) )
& ( ! [X1] : ~ p1(X1)
| ! [X0] : ~ p1(X0) ) ) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
( ~ sP36
| ( ( p1(sK49)
| p1(sK48) )
& ( ! [X1] : ~ p1(X1)
| ! [X0] : ~ p1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49]),skolemize(X2,sK48),skolemize(X3,sK49)],[f58]) ).
fof(f60,plain,
( ~ sP35
| ( ? [X93] : p1(X93)
& ! [X94] : ~ p1(X94) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f61,plain,
( ~ sP35
| ( ? [X1] : p1(X1)
& ! [X0] : ~ p1(X0) ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
( ~ sP35
| ( p1(sK50)
& ! [X0] : ~ p1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X1,sK50)],[f61]) ).
fof(f63,plain,
( ~ sP34
| ! [X108] :
? [X109] :
( p1(X108)
& ~ p1(X109) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f64,plain,
( ~ sP34
| ! [X0] :
? [X1] :
( p1(X0)
& ~ p1(X1) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
( ~ sP34
| ! [X0] :
( p1(X0)
& ~ p1(sK51(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(X1,sK51(X0))],[f64]) ).
fof(f66,plain,
( ~ sP33
| ! [X117] :
( ? [X118] : p1(X118)
& ~ p1(X117) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f67,plain,
( ~ sP33
| ! [X0] :
( ? [X1] : p1(X1)
& ~ p1(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
( ~ sP33
| ! [X0] :
( p1(sK52)
& ~ p1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X1,sK52)],[f67]) ).
fof(f69,plain,
( ~ sP32
| ( ? [X119] :
! [X120] : p(X119,X120)
& ? [X121] :
! [X122] : ~ p(X122,X121) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f70,plain,
( ~ sP32
| ( ? [X2] :
! [X3] : p(X2,X3)
& ? [X0] :
! [X1] : ~ p(X1,X0) ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
( ~ sP32
| ( ! [X3] : p(sK54,X3)
& ! [X1] : ~ p(X1,sK53) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X2,sK54)],[f70]) ).
fof(f72,plain,
( ~ sP31
| ( p1(z)
& ~ p1(z) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f73,plain,
( ~ sP30
| ( ? [X123] : p1(X123)
& ! [X124] : ~ p1(X124) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
( ~ sP30
| ( ? [X1] : p1(X1)
& ! [X0] : ~ p1(X0) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
( ~ sP30
| ( p1(sK55)
& ! [X0] : ~ p1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X1,sK55)],[f74]) ).
fof(f76,plain,
( ~ sP29
| ( ! [X125,X126] : p(X125,X126)
& ? [X127] : ~ p(X127,X127) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f77,plain,
( ~ sP29
| ( ! [X1,X2] : p(X1,X2)
& ? [X0] : ~ p(X0,X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
( ~ sP29
| ( ! [X1,X2] : p(X1,X2)
& ~ p(sK56,sK56) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(X0,sK56)],[f77]) ).
fof(f79,plain,
( ~ sP28
| ( ! [X42] :
? [X43] :
( a(X43,X43)
& a(X42,X43) )
& ! [X44] : ~ a(X44,X44) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f80,plain,
( ~ sP28
| ( ! [X1] :
? [X2] :
( a(X2,X2)
& a(X1,X2) )
& ! [X0] : ~ a(X0,X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
( ~ sP28
| ( ! [X1] :
( a(sK57(X1),sK57(X1))
& a(X1,sK57(X1)) )
& ! [X0] : ~ a(X0,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X2,sK57(X1))],[f80]) ).
fof(f82,plain,
( ~ sP27
| ( ! [X61] :
( ~ p1(X61)
| q1(X61) )
& ! [X62] : p1(X62)
& ? [X63] : ~ q1(X63) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f83,plain,
( ~ sP27
| ( ! [X2] :
( ~ p1(X2)
| q1(X2) )
& ! [X1] : p1(X1)
& ? [X0] : ~ q1(X0) ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
( ~ sP27
| ( ! [X2] :
( ~ p1(X2)
| q1(X2) )
& ! [X1] : p1(X1)
& ~ q1(sK58) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X0,sK58)],[f83]) ).
fof(f85,plain,
( ~ sP26
| ( ! [X68] :
( ~ a1(X68)
| b(X68) )
& ? [X69] : a1(X69)
& ! [X70] : ~ b(X70) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f86,plain,
( ~ sP26
| ( ! [X2] :
( ~ a1(X2)
| b(X2) )
& ? [X1] : a1(X1)
& ! [X0] : ~ b(X0) ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
( ~ sP26
| ( ! [X2] :
( ~ a1(X2)
| b(X2) )
& a1(sK59)
& ! [X0] : ~ b(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X1,sK59)],[f86]) ).
fof(f88,plain,
( ~ sP25
| ( ? [X71] :
( ~ a1(X71)
| b(X71) )
& ! [X72] : a1(X72)
& ! [X73] : ~ b(X73) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f89,plain,
( ~ sP25
| ( ? [X2] :
( ~ a1(X2)
| b(X2) )
& ! [X1] : a1(X1)
& ! [X0] : ~ b(X0) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
( ~ sP25
| ( ( ~ a1(sK60)
| b(sK60) )
& ! [X1] : a1(X1)
& ! [X0] : ~ b(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X2,sK60)],[f89]) ).
fof(f91,plain,
( ~ sP24
| ( ! [X77] : b(X77)
& ? [X76] : a1(X76)
& ! [X78] :
( ~ b(X78)
| ~ a1(X78) ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f92,plain,
( ~ sP24
| ( ! [X2] : b(X2)
& ? [X1] : a1(X1)
& ! [X0] :
( ~ b(X0)
| ~ a1(X0) ) ) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
( ~ sP24
| ( ! [X2] : b(X2)
& a1(sK61)
& ! [X0] :
( ~ b(X0)
| ~ a1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X1,sK61)],[f92]) ).
fof(f94,plain,
( ~ sP23
| ( ? [X79] : b(X79)
& ! [X80] :
( ~ b(X80)
& ~ a1(X80) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f95,plain,
( ~ sP23
| ( ? [X1] : b(X1)
& ! [X0] :
( ~ b(X0)
& ~ a1(X0) ) ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
( ~ sP23
| ( b(sK62)
& ! [X0] :
( ~ b(X0)
& ~ a1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X1,sK62)],[f95]) ).
fof(f97,plain,
( ~ sP22
| ? [X113,X114] :
! [X115,X116] :
( ( ~ p1(X115)
| r1(X116) )
& p1(X113)
& ~ r1(X114) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f98,plain,
( ~ sP22
| ? [X0,X1] :
! [X2,X3] :
( ( ~ p1(X2)
| r1(X3) )
& p1(X0)
& ~ r1(X1) ) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
( ~ sP22
| ! [X2,X3] :
( ( ~ p1(X2)
| r1(X3) )
& p1(sK63)
& ~ r1(sK64) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63,sK64]),skolemize(X0,sK63),skolemize(X1,sK64)],[f98]) ).
fof(f100,plain,
( ~ sP21
| ? [X128] :
( ! [X129] :
( q1(X129)
& p1(X129) )
& ~ q1(X128) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f101,plain,
( ~ sP21
| ? [X0] :
( ! [X1] :
( q1(X1)
& p1(X1) )
& ~ q1(X0) ) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
( ~ sP21
| ( ! [X1] :
( q1(X1)
& p1(X1) )
& ~ q1(sK65) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X0,sK65)],[f101]) ).
fof(f103,plain,
( ~ sP20
| ? [X5,X6] :
( ! [X7] : q1(f(X7))
& ! [X8,X9] :
( ~ q1(X8)
| ( p1(f(X9))
& ( ( r1(X9)
& ( ~ r1(X6)
| ~ r1(X5) ) )
| ~ p1(X8) ) ) ) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f104,plain,
( ~ sP20
| ? [X0,X1] :
( ! [X4] : q1(f(X4))
& ! [X2,X3] :
( ~ q1(X2)
| ( p1(f(X3))
& ( ( r1(X3)
& ( ~ r1(X1)
| ~ r1(X0) ) )
| ~ p1(X2) ) ) ) ) ),
inference(rectify,[],[f103]) ).
fof(f105,plain,
( ~ sP20
| ( ! [X4] : q1(f(X4))
& ! [X2,X3] :
( ~ q1(X2)
| ( p1(f(X3))
& ( ( r1(X3)
& ( ~ r1(sK67)
| ~ r1(sK66) ) )
| ~ p1(X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67]),skolemize(X0,sK66),skolemize(X1,sK67)],[f104]) ).
fof(f106,plain,
( ~ sP19
| ? [X10,X11] :
( q1(f(X10))
& ! [X12,X13] :
( ~ q1(X12)
| ( p1(f(X13))
& ( ( r1(X13)
& ( ~ r1(X11)
| ~ r1(X10) ) )
| ~ p1(X12) ) ) ) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f107,plain,
( ~ sP19
| ? [X0,X1] :
( q1(f(X0))
& ! [X2,X3] :
( ~ q1(X2)
| ( p1(f(X3))
& ( ( r1(X3)
& ( ~ r1(X1)
| ~ r1(X0) ) )
| ~ p1(X2) ) ) ) ) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
( ~ sP19
| ( q1(f(sK68))
& ! [X2,X3] :
( ~ q1(X2)
| ( p1(f(X3))
& ( ( r1(X3)
& ( ~ r1(sK69)
| ~ r1(sK68) ) )
| ~ p1(X2) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69]),skolemize(X0,sK68),skolemize(X1,sK69)],[f107]) ).
fof(f109,plain,
( ~ sP18
| ( ? [X15] :
( a1(X15)
& ~ b(X15) )
& ! [X14] :
( ~ a1(X14)
| c(X14)
| b(X14) )
& ! [X16] :
( ~ c(X16)
| ~ a1(X16) ) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f110,plain,
( ~ sP18
| ( ? [X2] :
( a1(X2)
& ~ b(X2) )
& ! [X1] :
( ~ a1(X1)
| c(X1)
| b(X1) )
& ! [X0] :
( ~ c(X0)
| ~ a1(X0) ) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
( ~ sP18
| ( a1(sK70)
& ~ b(sK70)
& ! [X1] :
( ~ a1(X1)
| c(X1)
| b(X1) )
& ! [X0] :
( ~ c(X0)
| ~ a1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(X2,sK70)],[f110]) ).
fof(f112,plain,
( ~ sP17
| ( ? [X35] : q1(X35)
& ! [X34] : p1(X34)
& ! [X36] :
? [X37] :
( ~ r1(X36)
& ~ p1(X37) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f113,plain,
( ~ sP17
| ( ? [X3] : q1(X3)
& ! [X2] : p1(X2)
& ! [X0] :
? [X1] :
( ~ r1(X0)
& ~ p1(X1) ) ) ),
inference(rectify,[],[f112]) ).
fof(f114,plain,
( ~ sP17
| ( q1(sK72)
& ! [X2] : p1(X2)
& ! [X0] :
( ~ r1(X0)
& ~ p1(sK71(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71,sK72]),skolemize(X1,sK71(X0)),skolemize(X3,sK72)],[f113]) ).
fof(f115,plain,
( ~ sP16
| ( ! [X38] :
? [X39] :
( q1(X39)
& p1(X38) )
& ! [X40] :
? [X41] :
( ~ r1(X40)
& ~ p1(X41) ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f116,plain,
( ~ sP16
| ( ! [X2] :
? [X3] :
( q1(X3)
& p1(X2) )
& ! [X0] :
? [X1] :
( ~ r1(X0)
& ~ p1(X1) ) ) ),
inference(rectify,[],[f115]) ).
fof(f117,plain,
( ~ sP16
| ( ! [X2] :
( q1(sK74(X2))
& p1(X2) )
& ! [X0] :
( ~ r1(X0)
& ~ p1(sK73(X0)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73,sK74]),skolemize(X1,sK73(X0)),skolemize(X3,sK74(X2))],[f116]) ).
fof(f118,plain,
( ~ sP15
| ? [X110] :
( r1(X110)
& ! [X111] :
( ~ p1(X111)
| q1(X111) )
& ! [X112] :
( ~ r1(X112)
| p1(X112) )
& ~ q1(X110) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f119,plain,
( ~ sP15
| ? [X0] :
( r1(X0)
& ! [X2] :
( ~ p1(X2)
| q1(X2) )
& ! [X1] :
( ~ r1(X1)
| p1(X1) )
& ~ q1(X0) ) ),
inference(rectify,[],[f118]) ).
fof(f120,plain,
( ~ sP15
| ( r1(sK75)
& ! [X2] :
( ~ p1(X2)
| q1(X2) )
& ! [X1] :
( ~ r1(X1)
| p1(X1) )
& ~ q1(sK75) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(X0,sK75)],[f119]) ).
fof(f121,plain,
( ~ sP14
| ( ~ b0
& ~ a0
& ( a0
| b0 )
& ( ~ a0
| ~ b0 ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f122,plain,
( ~ sP14
| ( ~ b0
& ~ a0
& ( a0
| b0 )
& ( ~ a0
| ~ b0 ) ) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
( ~ sP13
| ( b0
& a0
& ( a0
| b0 )
& ( ~ a0
| ~ b0 ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f124,plain,
( ~ sP13
| ( b0
& a0
& ( a0
| b0 )
& ( ~ a0
| ~ b0 ) ) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
( ~ sP12
| ? [X134] :
( ! [X135] :
( ( r1(X134)
& ~ r1(X135) )
| p(f(X135),X135) )
& ! [X136,X137] :
( ( q(f(X134),X134)
& ~ q(X136,X137) )
| ~ p(X136,X137) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f126,plain,
( ~ sP12
| ? [X0] :
( ! [X3] :
( ( r1(X0)
& ~ r1(X3) )
| p(f(X3),X3) )
& ! [X1,X2] :
( ( q(f(X0),X0)
& ~ q(X1,X2) )
| ~ p(X1,X2) ) ) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
( ~ sP12
| ( ! [X3] :
( ( r1(sK76)
& ~ r1(X3) )
| p(f(X3),X3) )
& ! [X1,X2] :
( ( q(f(sK76),sK76)
& ~ q(X1,X2) )
| ~ p(X1,X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(X0,sK76)],[f126]) ).
fof(f128,plain,
( ~ sP11
| ( ? [X139] :
( ~ q1(X139)
| r1(X139) )
& ! [X138] :
( ~ p1(X138)
| q1(X138) )
& ! [X140] :
( p1(X140)
& ~ r1(X140) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f129,plain,
( ~ sP11
| ( ? [X2] :
( ~ q1(X2)
| r1(X2) )
& ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ! [X0] :
( p1(X0)
& ~ r1(X0) ) ) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
( ~ sP11
| ( ( ~ q1(sK77)
| r1(sK77) )
& ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ! [X0] :
( p1(X0)
& ~ r1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(X2,sK77)],[f129]) ).
fof(f131,plain,
( ~ sP10
| ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ~ q1(X3)
| ( r1(X4)
& ( ~ r1(X0)
| ~ r1(X1) ) )
| ( p1(f(X4))
& ~ p1(X3) ) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f132,plain,
( ~ sP10
| ? [X0,X1] :
( ! [X4] : q1(f(X4))
& ! [X2,X3] :
( ~ q1(X2)
| ( r1(X3)
& ( ~ r1(X0)
| ~ r1(X1) ) )
| ( p1(f(X3))
& ~ p1(X2) ) ) ) ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
( ~ sP10
| ( ! [X4] : q1(f(X4))
& ! [X2,X3] :
( ~ q1(X2)
| ( r1(X3)
& ( ~ r1(sK78)
| ~ r1(sK79) ) )
| ( p1(f(X3))
& ~ p1(X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78,sK79]),skolemize(X0,sK78),skolemize(X1,sK79)],[f132]) ).
fof(f134,plain,
( ~ sP9
| ? [X53,X54] :
( ! [X55] :
( ~ q1(X55)
| p1(X55) )
& ! [X56] :
( ( q1(X56)
& ~ p1(X54) )
| ( p1(X56)
& ~ p1(X53) ) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f135,plain,
( ~ sP9
| ? [X0,X1] :
( ! [X3] :
( ~ q1(X3)
| p1(X3) )
& ! [X2] :
( ( q1(X2)
& ~ p1(X1) )
| ( p1(X2)
& ~ p1(X0) ) ) ) ),
inference(rectify,[],[f134]) ).
fof(f136,plain,
( ~ sP9
| ( ! [X3] :
( ~ q1(X3)
| p1(X3) )
& ! [X2] :
( ( q1(X2)
& ~ p1(sK81) )
| ( p1(X2)
& ~ p1(sK80) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81]),skolemize(X0,sK80),skolemize(X1,sK81)],[f135]) ).
fof(f137,plain,
( ~ sP8
| ? [X64,X65] :
( ! [X66] :
( ~ q1(X66)
| p1(X66) )
& ! [X67] :
( ( q1(X67)
& ~ p1(X65) )
| ( p1(X67)
& ~ p1(X64) ) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f138,plain,
( ~ sP8
| ? [X0,X1] :
( ! [X3] :
( ~ q1(X3)
| p1(X3) )
& ! [X2] :
( ( q1(X2)
& ~ p1(X1) )
| ( p1(X2)
& ~ p1(X0) ) ) ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
( ~ sP8
| ( ! [X3] :
( ~ q1(X3)
| p1(X3) )
& ! [X2] :
( ( q1(X2)
& ~ p1(sK83) )
| ( p1(X2)
& ~ p1(sK82) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83]),skolemize(X0,sK82),skolemize(X1,sK83)],[f138]) ).
fof(f140,plain,
( ~ sP7
| ? [X104,X105] :
( ! [X106] :
( ~ q1(X106)
| p1(X106) )
& ! [X107] :
( ( q1(X107)
& ~ p1(X105) )
| ( p1(X107)
& ~ p1(X104) ) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f141,plain,
( ~ sP7
| ? [X0,X1] :
( ! [X3] :
( ~ q1(X3)
| p1(X3) )
& ! [X2] :
( ( q1(X2)
& ~ p1(X1) )
| ( p1(X2)
& ~ p1(X0) ) ) ) ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
( ~ sP7
| ( ! [X3] :
( ~ q1(X3)
| p1(X3) )
& ! [X2] :
( ( q1(X2)
& ~ p1(sK85) )
| ( p1(X2)
& ~ p1(sK84) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84,sK85]),skolemize(X0,sK84),skolemize(X1,sK85)],[f141]) ).
fof(f143,plain,
( ~ sP6
| ? [X23,X24,X25] :
( ! [X27,X28] :
( ~ r(X27,X28)
| q(X27,X28) )
& ! [X26] :
( ~ s1(X26)
| p1(X26) )
& r(X24,X25)
& s1(X24)
& s1(X23)
& ! [X29,X30] :
( ~ q(X29,X30)
| ~ p1(X29) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f144,plain,
( ~ sP6
| ? [X0,X1,X2] :
( ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(X1,X2)
& s1(X1)
& s1(X0)
& ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) ) ) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
( ~ sP6
| ( ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(sK87,sK88)
& s1(sK87)
& s1(sK86)
& ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86,sK87,sK88]),skolemize(X0,sK86),skolemize(X1,sK87),skolemize(X2,sK88)],[f144]) ).
fof(f146,plain,
( ~ sP5
| ? [X45,X46,X47] :
( ! [X49,X50] :
( ~ r(X49,X50)
| q(X49,X50) )
& ! [X48] :
( ~ s1(X48)
| p1(X48) )
& r(X46,X47)
& s1(X46)
& s1(X45)
& ! [X51,X52] :
( ~ q(X51,X52)
| ~ p1(X51) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f147,plain,
( ~ sP5
| ? [X0,X1,X2] :
( ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(X1,X2)
& s1(X1)
& s1(X0)
& ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) ) ) ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
( ~ sP5
| ( ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(sK90,sK91)
& s1(sK90)
& s1(sK89)
& ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90,sK91]),skolemize(X0,sK89),skolemize(X1,sK90),skolemize(X2,sK91)],[f147]) ).
fof(f149,plain,
( ~ sP4
| ( ? [X57] : p1(X57)
& ( ( a0
& ( ( q0
& ~ q0 )
| ( b0
& ~ b0 ) ) )
| ! [X58] : ~ p1(X58) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f150,plain,
( ~ sP4
| ( ? [X1] : p1(X1)
& ( ( a0
& ( ( q0
& ~ q0 )
| ( b0
& ~ b0 ) ) )
| ! [X0] : ~ p1(X0) ) ) ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
( ~ sP4
| ( p1(sK92)
& ( ( a0
& ( ( q0
& ~ q0 )
| ( b0
& ~ b0 ) ) )
| ! [X0] : ~ p1(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(X1,sK92)],[f150]) ).
fof(f152,plain,
( ~ sP3
| ! [X95] :
? [X96] :
! [X97] :
( ( p(X97,X95)
& p(X95,X97)
& ~ p(X97,X96) )
| ( p(X97,X96)
& ! [X98] : ~ p(X98,X97) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f153,plain,
( ~ sP3
| ! [X0] :
? [X1] :
! [X2] :
( ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,X1) )
| ( p(X2,X1)
& ! [X3] : ~ p(X3,X2) ) ) ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
( ~ sP3
| ! [X0,X2] :
( ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,sK93(X0)) )
| ( p(X2,sK93(X0))
& ! [X3] : ~ p(X3,X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(X1,sK93(X0))],[f153]) ).
fof(f155,plain,
( ~ sP2
| ( ! [X99,X100] :
( ( ~ eq(X99,X100)
| ! [X101] :
( ( ~ a_member_of(X101,X99)
| a_member_of(X101,X100) )
& ( ~ 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,X99)
| ~ a_member_of(X101,X100) ) )
| eq(X99,X100) ) )
& ? [X102,X103] :
( eq(X102,X103)
& ~ eq(X103,X102) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f156,plain,
( ~ sP2
| ( ! [X2,X3] :
( ( ~ eq(X2,X3)
| ! [X5] :
( ( ~ a_member_of(X5,X2)
| a_member_of(X5,X3) )
& ( ~ a_member_of(X5,X3)
| a_member_of(X5,X2) ) ) )
& ( ? [X4] :
( ( a_member_of(X4,X2)
| a_member_of(X4,X3) )
& ( ~ a_member_of(X4,X2)
| ~ a_member_of(X4,X3) ) )
| eq(X2,X3) ) )
& ? [X0,X1] :
( eq(X0,X1)
& ~ eq(X1,X0) ) ) ),
inference(rectify,[],[f155]) ).
fof(f157,plain,
( ~ sP2
| ( ! [X2,X3] :
( ( ~ eq(X2,X3)
| ! [X5] :
( ( ~ a_member_of(X5,X2)
| a_member_of(X5,X3) )
& ( ~ a_member_of(X5,X3)
| a_member_of(X5,X2) ) ) )
& ( ( ( a_member_of(sK96(X2,X3),X2)
| a_member_of(sK96(X2,X3),X3) )
& ( ~ a_member_of(sK96(X2,X3),X2)
| ~ a_member_of(sK96(X2,X3),X3) ) )
| eq(X2,X3) ) )
& eq(sK94,sK95)
& ~ eq(sK95,sK94) ) ),
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,
( ~ sP1
| ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ s(X17,X22)
| p1(X22) )
& ( ~ e(X19)
| c(f(X19))
| g(X19) )
& ( ~ e(X18)
| s(X18,f(X18))
| g(X18) )
& e(X17)
& p1(X17)
& ( ~ c(X21)
| ~ p1(X21) )
& ( ~ g(X20)
| ~ p1(X20) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f159,plain,
( ~ sP1
| ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ s(X0,X5)
| p1(X5) )
& ( ~ e(X2)
| c(f(X2))
| g(X2) )
& ( ~ e(X1)
| s(X1,f(X1))
| g(X1) )
& e(X0)
& p1(X0)
& ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) ) ) ),
inference(rectify,[],[f158]) ).
fof(f160,plain,
( ~ sP1
| ! [X1,X2,X3,X4,X5] :
( ( ~ s(sK97,X5)
| p1(X5) )
& ( ~ e(X2)
| c(f(X2))
| g(X2) )
& ( ~ e(X1)
| s(X1,f(X1))
| g(X1) )
& e(sK97)
& p1(sK97)
& ( ~ c(X4)
| ~ p1(X4) )
& ( ~ g(X3)
| ~ p1(X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(X0,sK97)],[f159]) ).
fof(f164,plain,
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ? [X74] :
! [X75] :
( ( ~ a(X75,X74)
| ~ a(X75,X75) )
& ( a(X75,X75)
| a(X75,X74) ) )
| sP25
| sP26
| sP8
| sP27
| ( ! [X59] : p1(X59)
& ! [X60] : ~ p1(X60) )
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| ( ! [X31] : p1(X31)
& ? [X32,X33] :
( ~ p1(X33)
| ~ p1(X32) ) )
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(nnf_transformation,[],[f47]) ).
fof(f165,plain,
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ? [X5] :
! [X6] :
( ( ~ a(X6,X5)
| ~ a(X6,X6) )
& ( a(X6,X6)
| a(X6,X5) ) )
| sP25
| sP26
| sP8
| sP27
| ( ! [X4] : p1(X4)
& ! [X3] : ~ p1(X3) )
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| ( ! [X2] : p1(X2)
& ? [X0,X1] :
( ~ p1(X1)
| ~ p1(X0) ) )
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ! [X6] :
( ( ~ a(X6,sK102)
| ~ a(X6,X6) )
& ( a(X6,X6)
| a(X6,sK102) ) )
| sP25
| sP26
| sP8
| sP27
| ( ! [X4] : p1(X4)
& ! [X3] : ~ p1(X3) )
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| ( ! [X2] : p1(X2)
& ( ~ p1(sK101)
| ~ p1(sK100) ) )
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100,sK101,sK102]),skolemize(X0,sK100),skolemize(X1,sK101),skolemize(X5,sK102)],[f165]) ).
fof(f167,plain,
( ~ sP39
| a(sK42,sK43)
| a(sK41,sK40) ),
inference(cnf_transformation,[],[f50]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ sP39
| ~ a(X2,X3)
| ~ a(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f169,plain,
! [X2] :
( ~ sP38
| p1(X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f170,plain,
( ~ sP38
| ~ p1(sK45)
| ~ p1(sK44) ),
inference(cnf_transformation,[],[f53]) ).
fof(f171,plain,
! [X2] :
( ~ sP37
| p1(X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f172,plain,
( ~ sP37
| ~ p1(sK47)
| ~ p1(sK46) ),
inference(cnf_transformation,[],[f56]) ).
fof(f173,plain,
( ~ sP36
| p1(sK49)
| p1(sK48) ),
inference(cnf_transformation,[],[f59]) ).
fof(f174,plain,
! [X0,X1] :
( ~ sP36
| ~ p1(X1)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f175,plain,
( ~ sP35
| p1(sK50) ),
inference(cnf_transformation,[],[f62]) ).
fof(f176,plain,
! [X0] :
( ~ sP35
| ~ p1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f177,plain,
! [X0] :
( ~ sP34
| p1(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f178,plain,
! [X0] :
( ~ sP34
| ~ p1(sK51(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f179,plain,
( ~ sP33
| p1(sK52) ),
inference(cnf_transformation,[],[f68]) ).
fof(f180,plain,
! [X0] :
( ~ sP33
| ~ p1(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f181,plain,
! [X3] :
( ~ sP32
| p(sK54,X3) ),
inference(cnf_transformation,[],[f71]) ).
fof(f182,plain,
! [X1] :
( ~ sP32
| ~ p(X1,sK53) ),
inference(cnf_transformation,[],[f71]) ).
fof(f183,plain,
( ~ sP31
| p1(z) ),
inference(cnf_transformation,[],[f72]) ).
fof(f184,plain,
( ~ sP31
| ~ p1(z) ),
inference(cnf_transformation,[],[f72]) ).
fof(f185,plain,
( ~ sP30
| p1(sK55) ),
inference(cnf_transformation,[],[f75]) ).
fof(f186,plain,
! [X0] :
( ~ sP30
| ~ p1(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f187,plain,
! [X2,X1] :
( ~ sP29
| p(X1,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f188,plain,
( ~ sP29
| ~ p(sK56,sK56) ),
inference(cnf_transformation,[],[f78]) ).
fof(f189,plain,
! [X1] :
( ~ sP28
| a(sK57(X1),sK57(X1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f191,plain,
! [X0] :
( ~ sP28
| ~ a(X0,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f192,plain,
! [X2] :
( ~ sP27
| ~ p1(X2)
| q1(X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f193,plain,
! [X1] :
( ~ sP27
| p1(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f194,plain,
( ~ sP27
| ~ q1(sK58) ),
inference(cnf_transformation,[],[f84]) ).
fof(f195,plain,
! [X2] :
( ~ sP26
| ~ a1(X2)
| b(X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f196,plain,
( ~ sP26
| a1(sK59) ),
inference(cnf_transformation,[],[f87]) ).
fof(f197,plain,
! [X0] :
( ~ sP26
| ~ b(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f198,plain,
( ~ sP25
| ~ a1(sK60)
| b(sK60) ),
inference(cnf_transformation,[],[f90]) ).
fof(f199,plain,
! [X1] :
( ~ sP25
| a1(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f200,plain,
! [X0] :
( ~ sP25
| ~ b(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f201,plain,
! [X2] :
( ~ sP24
| b(X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f202,plain,
( ~ sP24
| a1(sK61) ),
inference(cnf_transformation,[],[f93]) ).
fof(f203,plain,
! [X0] :
( ~ sP24
| ~ b(X0)
| ~ a1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f204,plain,
( ~ sP23
| b(sK62) ),
inference(cnf_transformation,[],[f96]) ).
fof(f205,plain,
! [X0] :
( ~ sP23
| ~ b(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f207,plain,
! [X2,X3] :
( ~ sP22
| ~ p1(X2)
| r1(X3) ),
inference(cnf_transformation,[],[f99]) ).
fof(f208,plain,
( ~ sP22
| p1(sK63) ),
inference(cnf_transformation,[],[f99]) ).
fof(f209,plain,
( ~ sP22
| ~ r1(sK64) ),
inference(cnf_transformation,[],[f99]) ).
fof(f210,plain,
! [X1] :
( ~ sP21
| q1(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f211,plain,
! [X1] :
( ~ sP21
| p1(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f212,plain,
( ~ sP21
| ~ q1(sK65) ),
inference(cnf_transformation,[],[f102]) ).
fof(f213,plain,
! [X4] :
( ~ sP20
| q1(f(X4)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f214,plain,
! [X2,X3] :
( ~ sP20
| ~ q1(X2)
| p1(f(X3)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f215,plain,
! [X2,X3] :
( ~ sP20
| ~ q1(X2)
| r1(X3)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f216,plain,
! [X2] :
( ~ sP20
| ~ q1(X2)
| ~ r1(sK67)
| ~ r1(sK66)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f217,plain,
( ~ sP19
| q1(f(sK68)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f218,plain,
! [X2,X3] :
( ~ sP19
| ~ q1(X2)
| p1(f(X3)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f219,plain,
! [X2,X3] :
( ~ sP19
| ~ q1(X2)
| r1(X3)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f220,plain,
! [X2] :
( ~ sP19
| ~ q1(X2)
| ~ r1(sK69)
| ~ r1(sK68)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f221,plain,
( ~ sP18
| a1(sK70) ),
inference(cnf_transformation,[],[f111]) ).
fof(f222,plain,
( ~ sP18
| ~ b(sK70) ),
inference(cnf_transformation,[],[f111]) ).
fof(f223,plain,
! [X1] :
( ~ sP18
| ~ a1(X1)
| c(X1)
| b(X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f224,plain,
! [X0] :
( ~ sP18
| ~ c(X0)
| ~ a1(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f226,plain,
! [X2] :
( ~ sP17
| p1(X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f228,plain,
! [X0] :
( ~ sP17
| ~ p1(sK71(X0)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f230,plain,
! [X2] :
( ~ sP16
| p1(X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f232,plain,
! [X0] :
( ~ sP16
| ~ p1(sK73(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f233,plain,
( ~ sP15
| r1(sK75) ),
inference(cnf_transformation,[],[f120]) ).
fof(f234,plain,
! [X2] :
( ~ sP15
| ~ p1(X2)
| q1(X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f235,plain,
! [X1] :
( ~ sP15
| ~ r1(X1)
| p1(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f236,plain,
( ~ sP15
| ~ q1(sK75) ),
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,
( ~ sP14
| a0
| b0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f241,plain,
( ~ sP13
| b0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f242,plain,
( ~ sP13
| a0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f244,plain,
( ~ sP13
| ~ a0
| ~ b0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f245,plain,
! [X3] :
( ~ sP12
| r1(sK76)
| p(f(X3),X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f246,plain,
! [X3] :
( ~ sP12
| ~ r1(X3)
| p(f(X3),X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f247,plain,
! [X2,X1] :
( ~ sP12
| q(f(sK76),sK76)
| ~ p(X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f248,plain,
! [X2,X1] :
( ~ sP12
| ~ q(X1,X2)
| ~ p(X1,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f249,plain,
( ~ sP11
| ~ q1(sK77)
| r1(sK77) ),
inference(cnf_transformation,[],[f130]) ).
fof(f250,plain,
! [X1] :
( ~ sP11
| ~ p1(X1)
| q1(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f251,plain,
! [X0] :
( ~ sP11
| p1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f252,plain,
! [X0] :
( ~ sP11
| ~ r1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f253,plain,
! [X4] :
( ~ sP10
| q1(f(X4)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f254,plain,
! [X2,X3] :
( ~ sP10
| ~ q1(X2)
| r1(X3)
| p1(f(X3)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f255,plain,
! [X2,X3] :
( ~ sP10
| ~ q1(X2)
| ~ r1(sK78)
| ~ r1(sK79)
| p1(f(X3)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f256,plain,
! [X2,X3] :
( ~ sP10
| ~ q1(X2)
| r1(X3)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f257,plain,
! [X2] :
( ~ sP10
| ~ q1(X2)
| ~ r1(sK78)
| ~ r1(sK79)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f258,plain,
! [X3] :
( ~ sP9
| ~ q1(X3)
| p1(X3) ),
inference(cnf_transformation,[],[f136]) ).
fof(f259,plain,
! [X2] :
( ~ sP9
| q1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f260,plain,
! [X2] :
( ~ sP9
| ~ p1(sK81)
| p1(X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f262,plain,
( ~ sP9
| ~ p1(sK81)
| ~ p1(sK80) ),
inference(cnf_transformation,[],[f136]) ).
fof(f263,plain,
! [X3] :
( ~ sP8
| ~ q1(X3)
| p1(X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f264,plain,
! [X2] :
( ~ sP8
| q1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f265,plain,
! [X2] :
( ~ sP8
| ~ p1(sK83)
| p1(X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f267,plain,
( ~ sP8
| ~ p1(sK83)
| ~ p1(sK82) ),
inference(cnf_transformation,[],[f139]) ).
fof(f268,plain,
! [X3] :
( ~ sP7
| ~ q1(X3)
| p1(X3) ),
inference(cnf_transformation,[],[f142]) ).
fof(f269,plain,
! [X2] :
( ~ sP7
| q1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f270,plain,
! [X2] :
( ~ sP7
| ~ p1(sK85)
| p1(X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f272,plain,
( ~ sP7
| ~ p1(sK85)
| ~ p1(sK84) ),
inference(cnf_transformation,[],[f142]) ).
fof(f273,plain,
! [X6,X7] :
( ~ sP6
| ~ r(X6,X7)
| q(X6,X7) ),
inference(cnf_transformation,[],[f145]) ).
fof(f274,plain,
! [X5] :
( ~ sP6
| ~ s1(X5)
| p1(X5) ),
inference(cnf_transformation,[],[f145]) ).
fof(f275,plain,
( ~ sP6
| r(sK87,sK88) ),
inference(cnf_transformation,[],[f145]) ).
fof(f276,plain,
( ~ sP6
| s1(sK87) ),
inference(cnf_transformation,[],[f145]) ).
fof(f278,plain,
! [X3,X4] :
( ~ sP6
| ~ q(X3,X4)
| ~ p1(X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f279,plain,
! [X6,X7] :
( ~ sP5
| ~ r(X6,X7)
| q(X6,X7) ),
inference(cnf_transformation,[],[f148]) ).
fof(f280,plain,
! [X5] :
( ~ sP5
| ~ s1(X5)
| p1(X5) ),
inference(cnf_transformation,[],[f148]) ).
fof(f281,plain,
( ~ sP5
| r(sK90,sK91) ),
inference(cnf_transformation,[],[f148]) ).
fof(f282,plain,
( ~ sP5
| s1(sK90) ),
inference(cnf_transformation,[],[f148]) ).
fof(f284,plain,
! [X3,X4] :
( ~ sP5
| ~ q(X3,X4)
| ~ p1(X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f285,plain,
( ~ sP4
| p1(sK92) ),
inference(cnf_transformation,[],[f151]) ).
fof(f287,plain,
! [X0] :
( ~ sP4
| q0
| b0
| ~ p1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f288,plain,
! [X0] :
( ~ sP4
| ~ q0
| b0
| ~ p1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f289,plain,
! [X0] :
( ~ sP4
| q0
| ~ b0
| ~ p1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f290,plain,
! [X0] :
( ~ sP4
| ~ q0
| ~ b0
| ~ p1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f292,plain,
! [X2,X0] :
( ~ sP3
| p(X0,X2)
| p(X2,sK93(X0)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f294,plain,
! [X2,X3,X0] :
( ~ sP3
| p(X2,X0)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f296,plain,
! [X2,X3,X0] :
( ~ sP3
| ~ p(X2,sK93(X0))
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f297,plain,
! [X2,X3,X5] :
( ~ sP2
| ~ eq(X2,X3)
| ~ a_member_of(X5,X2)
| a_member_of(X5,X3) ),
inference(cnf_transformation,[],[f157]) ).
fof(f298,plain,
! [X2,X3,X5] :
( ~ sP2
| ~ eq(X2,X3)
| ~ a_member_of(X5,X3)
| a_member_of(X5,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f299,plain,
! [X2,X3] :
( ~ sP2
| a_member_of(sK96(X2,X3),X2)
| a_member_of(sK96(X2,X3),X3)
| eq(X2,X3) ),
inference(cnf_transformation,[],[f157]) ).
fof(f300,plain,
! [X2,X3] :
( ~ sP2
| ~ a_member_of(sK96(X2,X3),X2)
| ~ a_member_of(sK96(X2,X3),X3)
| eq(X2,X3) ),
inference(cnf_transformation,[],[f157]) ).
fof(f301,plain,
( ~ sP2
| eq(sK94,sK95) ),
inference(cnf_transformation,[],[f157]) ).
fof(f302,plain,
( ~ sP2
| ~ eq(sK95,sK94) ),
inference(cnf_transformation,[],[f157]) ).
fof(f303,plain,
! [X5] :
( ~ sP1
| ~ s(sK97,X5)
| p1(X5) ),
inference(cnf_transformation,[],[f160]) ).
fof(f304,plain,
! [X2] :
( ~ sP1
| ~ e(X2)
| c(f(X2))
| g(X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f305,plain,
! [X1] :
( ~ sP1
| ~ e(X1)
| s(X1,f(X1))
| g(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f306,plain,
( ~ sP1
| e(sK97) ),
inference(cnf_transformation,[],[f160]) ).
fof(f307,plain,
( ~ sP1
| p1(sK97) ),
inference(cnf_transformation,[],[f160]) ).
fof(f308,plain,
! [X4] :
( ~ sP1
| ~ c(X4)
| ~ p1(X4) ),
inference(cnf_transformation,[],[f160]) ).
fof(f309,plain,
! [X3] :
( ~ sP1
| ~ g(X3)
| ~ p1(X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f319,plain,
! [X2,X6,X4] :
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ~ a(X6,sK102)
| ~ a(X6,X6)
| sP25
| sP26
| sP8
| sP27
| p1(X4)
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| p1(X2)
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(cnf_transformation,[],[f166]) ).
fof(f320,plain,
! [X2,X6,X4] :
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| a(X6,X6)
| a(X6,sK102)
| sP25
| sP26
| sP8
| sP27
| p1(X4)
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| p1(X2)
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(cnf_transformation,[],[f166]) ).
fof(f321,plain,
! [X2,X3,X6] :
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ~ a(X6,sK102)
| ~ a(X6,X6)
| sP25
| sP26
| sP8
| sP27
| ~ p1(X3)
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| p1(X2)
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(cnf_transformation,[],[f166]) ).
fof(f322,plain,
! [X2,X3,X6] :
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| a(X6,X6)
| a(X6,sK102)
| sP25
| sP26
| sP8
| sP27
| ~ p1(X3)
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| p1(X2)
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(cnf_transformation,[],[f166]) ).
fof(f323,plain,
! [X6,X4] :
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ~ a(X6,sK102)
| ~ a(X6,X6)
| sP25
| sP26
| sP8
| sP27
| p1(X4)
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| ~ p1(sK101)
| ~ p1(sK100)
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(cnf_transformation,[],[f166]) ).
fof(f325,plain,
! [X3,X6] :
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ~ a(X6,sK102)
| ~ a(X6,X6)
| sP25
| sP26
| sP8
| sP27
| ~ p1(X3)
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| ~ p1(sK101)
| ~ p1(sK100)
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(cnf_transformation,[],[f166]) ).
fof(f326,plain,
! [X3,X6] :
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| a(X6,X6)
| a(X6,sK102)
| sP25
| sP26
| sP8
| sP27
| ~ p1(X3)
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| ~ p1(sK101)
| ~ p1(sK100)
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ sP39
| ~ a(X2,X3)
| ~ a(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_50,plain,
( a(sK42,sK43)
| a(sK41,sK40)
| ~ sP39 ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_51,plain,
( ~ sP38
| ~ p1(sK45)
| ~ p1(sK44) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_52,plain,
! [X0: $i] :
( p1(X0)
| ~ sP38 ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_53,plain,
( ~ sP37
| ~ p1(sK47)
| ~ p1(sK46) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_54,plain,
! [X0: $i] :
( p1(X0)
| ~ sP37 ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ~ sP36
| ~ p1(X1)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_56,plain,
( p1(sK49)
| p1(sK48)
| ~ sP36 ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_57,plain,
! [X0: $i] :
( ~ sP35
| ~ p1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_58,plain,
( p1(sK50)
| ~ sP35 ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_59,plain,
! [X0: $i] :
( ~ sP34
| ~ p1(sK51(X0)) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_60,plain,
! [X0: $i] :
( p1(X0)
| ~ sP34 ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ sP33
| ~ p1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_62,plain,
( p1(sK52)
| ~ sP33 ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_63,plain,
! [X0: $i] :
( ~ sP32
| ~ p(X0,sK53) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_64,plain,
! [X0: $i] :
( p(sK54,X0)
| ~ sP32 ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_65,plain,
( ~ sP31
| ~ p1(z) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_66,plain,
( p1(z)
| ~ sP31 ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_67,plain,
! [X0: $i] :
( ~ sP30
| ~ p1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_68,plain,
( p1(sK55)
| ~ sP30 ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_69,plain,
( ~ sP29
| ~ p(sK56,sK56) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( p(X0,X1)
| ~ sP29 ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_71,plain,
! [X0: $i] :
( ~ sP28
| ~ a(X0,X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_73,plain,
! [X0: $i] :
( a(sK57(X0),sK57(X0))
| ~ sP28 ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_74,plain,
( ~ sP27
| ~ q1(sK58) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_75,plain,
! [X0: $i] :
( p1(X0)
| ~ sP27 ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_76,plain,
! [X0: $i] :
( q1(X0)
| ~ sP27
| ~ p1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_77,plain,
! [X0: $i] :
( ~ sP26
| ~ b(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_78,plain,
( a1(sK59)
| ~ sP26 ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_79,plain,
! [X0: $i] :
( b(X0)
| ~ sP26
| ~ a1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_80,plain,
! [X0: $i] :
( ~ sP25
| ~ b(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_81,plain,
! [X0: $i] :
( a1(X0)
| ~ sP25 ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_82,plain,
( b(sK60)
| ~ sP25
| ~ a1(sK60) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_83,plain,
! [X0: $i] :
( ~ sP24
| ~ a1(X0)
| ~ b(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_84,plain,
( a1(sK61)
| ~ sP24 ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_85,plain,
! [X0: $i] :
( b(X0)
| ~ sP24 ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_87,plain,
! [X0: $i] :
( ~ sP23
| ~ b(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_88,plain,
( b(sK62)
| ~ sP23 ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_89,plain,
( ~ sP22
| ~ r1(sK64) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_90,plain,
( p1(sK63)
| ~ sP22 ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ sP22
| ~ p1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_92,plain,
( ~ sP21
| ~ q1(sK65) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_93,plain,
! [X0: $i] :
( p1(X0)
| ~ sP21 ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_94,plain,
! [X0: $i] :
( q1(X0)
| ~ sP21 ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_95,plain,
! [X0: $i] :
( ~ sP20
| ~ r1(sK67)
| ~ r1(sK66)
| ~ q1(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ sP20
| ~ q1(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( p1(f(X1))
| ~ sP20
| ~ q1(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_98,plain,
! [X0: $i] :
( q1(f(X0))
| ~ sP20 ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_99,plain,
! [X0: $i] :
( ~ sP19
| ~ r1(sK69)
| ~ r1(sK68)
| ~ q1(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ sP19
| ~ q1(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( p1(f(X1))
| ~ sP19
| ~ q1(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_102,plain,
( q1(f(sK68))
| ~ sP19 ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_103,plain,
! [X0: $i] :
( ~ sP18
| ~ c(X0)
| ~ a1(X0) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_104,plain,
! [X0: $i] :
( c(X0)
| b(X0)
| ~ sP18
| ~ a1(X0) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_105,plain,
( ~ sP18
| ~ b(sK70) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_106,plain,
( a1(sK70)
| ~ sP18 ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_107,plain,
! [X0: $i] :
( ~ sP17
| ~ p1(sK71(X0)) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_109,plain,
! [X0: $i] :
( p1(X0)
| ~ sP17 ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_111,plain,
! [X0: $i] :
( ~ sP16
| ~ p1(sK73(X0)) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_113,plain,
! [X0: $i] :
( p1(X0)
| ~ sP16 ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_115,plain,
( ~ sP15
| ~ q1(sK75) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_116,plain,
! [X0: $i] :
( p1(X0)
| ~ sP15
| ~ r1(X0) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_117,plain,
! [X0: $i] :
( q1(X0)
| ~ sP15
| ~ p1(X0) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_118,plain,
( r1(sK75)
| ~ sP15 ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_120,plain,
( a0
| b0
| ~ sP14 ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_121,plain,
( ~ sP14
| ~ a0 ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_122,plain,
( ~ sP14
| ~ b0 ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_123,plain,
( ~ sP13
| ~ a0
| ~ b0 ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_125,plain,
( a0
| ~ sP13 ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_126,plain,
( b0
| ~ sP13 ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] :
( ~ sP12
| ~ q(X0,X1)
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( q(f(sK76),sK76)
| ~ sP12
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_129,plain,
! [X0: $i] :
( p(f(X0),X0)
| ~ sP12
| ~ r1(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_130,plain,
! [X0: $i] :
( r1(sK76)
| p(f(X0),X0)
| ~ sP12 ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_131,plain,
! [X0: $i] :
( ~ sP11
| ~ r1(X0) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_132,plain,
! [X0: $i] :
( p1(X0)
| ~ sP11 ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_133,plain,
! [X0: $i] :
( q1(X0)
| ~ sP11
| ~ p1(X0) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_134,plain,
( r1(sK77)
| ~ sP11
| ~ q1(sK77) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_135,plain,
! [X0: $i] :
( ~ sP10
| ~ r1(sK78)
| ~ r1(sK79)
| ~ q1(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ sP10
| ~ q1(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i] :
( p1(f(X1))
| ~ sP10
| ~ r1(sK78)
| ~ r1(sK79)
| ~ q1(X0) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| p1(f(X1))
| ~ sP10
| ~ q1(X0) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_139,plain,
! [X0: $i] :
( q1(f(X0))
| ~ sP10 ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_140,plain,
( ~ sP9
| ~ p1(sK81)
| ~ p1(sK80) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_142,plain,
! [X0: $i] :
( p1(X0)
| ~ sP9
| ~ p1(sK81) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_143,plain,
! [X0: $i] :
( q1(X0)
| p1(X0)
| ~ sP9 ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_144,plain,
! [X0: $i] :
( p1(X0)
| ~ sP9
| ~ q1(X0) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_145,plain,
( ~ sP8
| ~ p1(sK83)
| ~ p1(sK82) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_147,plain,
! [X0: $i] :
( p1(X0)
| ~ sP8
| ~ p1(sK83) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_148,plain,
! [X0: $i] :
( q1(X0)
| p1(X0)
| ~ sP8 ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_149,plain,
! [X0: $i] :
( p1(X0)
| ~ sP8
| ~ q1(X0) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_150,plain,
( ~ sP7
| ~ p1(sK85)
| ~ p1(sK84) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_152,plain,
! [X0: $i] :
( p1(X0)
| ~ sP7
| ~ p1(sK85) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_153,plain,
! [X0: $i] :
( q1(X0)
| p1(X0)
| ~ sP7 ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_154,plain,
! [X0: $i] :
( p1(X0)
| ~ sP7
| ~ q1(X0) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( ~ sP6
| ~ p1(X0)
| ~ q(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_157,plain,
( s1(sK87)
| ~ sP6 ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_158,plain,
( r(sK87,sK88)
| ~ sP6 ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_159,plain,
! [X0: $i] :
( p1(X0)
| ~ sP6
| ~ s1(X0) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i] :
( q(X0,X1)
| ~ sP6
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] :
( ~ sP5
| ~ p1(X0)
| ~ q(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_163,plain,
( s1(sK90)
| ~ sP5 ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_164,plain,
( r(sK90,sK91)
| ~ sP5 ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_165,plain,
! [X0: $i] :
( p1(X0)
| ~ sP5
| ~ s1(X0) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] :
( q(X0,X1)
| ~ sP5
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_167,plain,
! [X0: $i] :
( ~ sP4
| ~ q0
| ~ b0
| ~ p1(X0) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_168,plain,
! [X0: $i] :
( q0
| ~ sP4
| ~ b0
| ~ p1(X0) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_169,plain,
! [X0: $i] :
( b0
| ~ sP4
| ~ q0
| ~ p1(X0) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_170,plain,
! [X0: $i] :
( q0
| b0
| ~ sP4
| ~ p1(X0) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_172,plain,
( p1(sK92)
| ~ sP4 ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sP3
| ~ p(X2,X0)
| ~ p(X0,sK93(X1)) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(X1,X2)
| ~ sP3
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( p(X1,X0)
| p(X0,sK93(X1))
| ~ sP3 ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_178,plain,
( ~ sP2
| ~ eq(sK95,sK94) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_179,plain,
( eq(sK94,sK95)
| ~ sP2 ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( eq(X0,X1)
| ~ sP2
| ~ a_member_of(sK96(X0,X1),X1)
| ~ a_member_of(sK96(X0,X1),X0) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( eq(X0,X1)
| a_member_of(sK96(X0,X1),X1)
| a_member_of(sK96(X0,X1),X0)
| ~ sP2 ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( a_member_of(X2,X0)
| ~ sP2
| ~ a_member_of(X2,X1)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( a_member_of(X2,X1)
| ~ sP2
| ~ a_member_of(X2,X0)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_184,plain,
! [X0: $i] :
( ~ sP1
| ~ g(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_185,plain,
! [X0: $i] :
( ~ sP1
| ~ c(X0)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_186,plain,
( p1(sK97)
| ~ sP1 ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_187,plain,
( e(sK97)
| ~ sP1 ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_188,plain,
! [X0: $i] :
( g(X0)
| s(X0,f(X0))
| ~ sP1
| ~ e(X0) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_189,plain,
! [X0: $i] :
( g(X0)
| c(f(X0))
| ~ sP1
| ~ e(X0) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_190,plain,
! [X0: $i] :
( p1(X0)
| ~ sP1
| ~ s(sK97,X0) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_200,negated_conjecture,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| a(X1,sK102)
| a(X1,X1)
| ~ p1(sK101)
| ~ p1(sK100)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_201,negated_conjecture,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| ~ p1(sK101)
| ~ p1(sK100)
| ~ p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_203,negated_conjecture,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X1)
| ~ p1(sK101)
| ~ p1(sK100)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_204,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_205,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X2)
| ~ p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_206,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_207,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X2)
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_301,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(sK102)
| a(sK102,sK102) ),
inference(instantiation,[status(thm)],[c_206]) ).
tcf(c_307,plain,
~ sP13,
inference(global_subsumption_just,[status(thm)],[c_126,c_126,c_125,c_123]) ).
tcf(c_313,plain,
~ sP14,
inference(global_subsumption_just,[status(thm)],[c_122,c_122,c_121,c_120]) ).
tcf(c_319,plain,
~ sP31,
inference(global_subsumption_just,[status(thm)],[c_66,c_66,c_65]) ).
tcf(c_323,plain,
! [X0: $i] :
( ~ sP7
| p1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_153,c_153,c_154]) ).
tcf(c_324,plain,
! [X0: $i] :
( p1(X0)
| ~ sP7 ),
inference(renaming,[status(thm)],[c_323]) ).
tcf(c_326,plain,
! [X0: $i] :
( ~ sP8
| p1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_148,c_148,c_149]) ).
tcf(c_327,plain,
! [X0: $i] :
( p1(X0)
| ~ sP8 ),
inference(renaming,[status(thm)],[c_326]) ).
tcf(c_329,plain,
! [X0: $i] :
( ~ sP9
| p1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_143,c_143,c_144]) ).
tcf(c_330,plain,
! [X0: $i] :
( p1(X0)
| ~ sP9 ),
inference(renaming,[status(thm)],[c_329]) ).
tcf(c_336,plain,
! [X0: $i] :
( q0
| ~ p1(X0)
| ~ sP4 ),
inference(global_subsumption_just,[status(thm)],[c_170,c_170,c_169,c_168,c_167]) ).
tcf(c_337,plain,
! [X0: $i] :
( q0
| ~ sP4
| ~ p1(X0) ),
inference(renaming,[status(thm)],[c_336]) ).
tcf(c_339,plain,
! [X0: $i] :
( ~ p1(X0)
| ~ sP4 ),
inference(global_subsumption_just,[status(thm)],[c_337,c_169,c_167,c_337]) ).
tcf(c_340,plain,
! [X0: $i] :
( ~ sP4
| ~ p1(X0) ),
inference(renaming,[status(thm)],[c_339]) ).
tcf(c_344,plain,
! [X0: $i] :
( p1(X0)
| ~ sP7 ),
inference(global_subsumption_just,[status(thm)],[c_152,c_324]) ).
tcf(c_348,plain,
! [X0: $i] :
( p1(X0)
| ~ sP8 ),
inference(global_subsumption_just,[status(thm)],[c_147,c_327]) ).
tcf(c_352,plain,
! [X0: $i] :
( p1(X0)
| ~ sP9 ),
inference(global_subsumption_just,[status(thm)],[c_142,c_330]) ).
tcf(c_354,plain,
! [X0: $i] :
( q1(X0)
| ~ sP11 ),
inference(global_subsumption_just,[status(thm)],[c_133,c_132,c_133]) ).
tcf(c_357,plain,
! [X0: $i] :
( ~ a1(X0)
| ~ sP26 ),
inference(global_subsumption_just,[status(thm)],[c_79,c_77,c_79]) ).
tcf(c_358,plain,
! [X0: $i] :
( ~ sP26
| ~ a1(X0) ),
inference(renaming,[status(thm)],[c_357]) ).
tcf(c_360,plain,
! [X0: $i] :
( q1(X0)
| ~ sP27 ),
inference(global_subsumption_just,[status(thm)],[c_76,c_75,c_76]) ).
tcf(c_370,plain,
! [X0: $i] :
( ~ sP24
| ~ a1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_85,c_83]) ).
tcf(c_373,plain,
! [X0: $i] :
( ~ sP4
| ~ p1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167,c_340]) ).
tcf(c_375,plain,
! [X0: $i] :
( ~ a1(X0)
| ~ sP18
| b(X0) ),
inference(global_subsumption_just,[status(thm)],[c_104,c_103,c_104]) ).
tcf(c_376,plain,
! [X0: $i] :
( b(X0)
| ~ sP18
| ~ a1(X0) ),
inference(renaming,[status(thm)],[c_375]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| a(X0,X0)
| a(X0,sK102)
| p1(X1)
| p1(X2)
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32 ),
inference(global_subsumption_just,[status(thm)],[c_206,c_206,c_307,c_313,c_319]) ).
tcf(c_379,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(renaming,[status(thm)],[c_378]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP34
| ~ p1(X0)
| a(X1,X1)
| a(X1,sK102)
| p1(X2)
| sP39
| sP38
| sP37
| sP36
| sP32
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_204,c_126,c_125,c_122,c_121,c_120,c_66,c_67,c_65,c_61,c_57,c_123,c_204,c_340]) ).
tcf(c_382,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP34
| sP36
| sP37
| sP38
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(renaming,[status(thm)],[c_381]) ).
tcf(c_383,plain,
! [X0: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X2)
| ~ a(X0,X0)
| ~ a(X0,sK102)
| sP30
| sP29 ),
inference(global_subsumption_just,[status(thm)],[c_207,c_126,c_125,c_122,c_121,c_120,c_66,c_65,c_123,c_71,c_207,c_205]) ).
tcf(c_384,negated_conjecture,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(renaming,[status(thm)],[c_383]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP34
| ~ p1(X0)
| ~ p1(sK100)
| ~ p1(sK101)
| a(X1,X1)
| a(X1,sK102)
| sP39
| sP38
| sP37
| sP36
| sP32
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_200,c_126,c_125,c_122,c_121,c_120,c_66,c_67,c_65,c_61,c_57,c_123,c_200,c_340]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP34
| sP36
| sP37
| sP38
| sP39
| a(X1,sK102)
| a(X1,X1)
| ~ p1(sK101)
| ~ p1(sK100)
| ~ p1(X0) ),
inference(renaming,[status(thm)],[c_391]) ).
tcf(c_393,plain,
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP34
| sP36
| sP37
| sP38
| sP39
| a(sK102,sK102)
| ~ p1(sK102)
| ~ p1(sK101)
| ~ p1(sK100) ),
inference(instantiation,[status(thm)],[c_392]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0)
| sP30
| sP29 ),
inference(global_subsumption_just,[status(thm)],[c_203,c_384]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(renaming,[status(thm)],[c_394]) ).
tcf(c_396,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| ~ p1(sK101)
| ~ p1(sK100)
| ~ a(X0,X0)
| ~ a(X0,sK102)
| sP30
| sP29 ),
inference(global_subsumption_just,[status(thm)],[c_201,c_126,c_125,c_122,c_121,c_120,c_66,c_65,c_123,c_71,c_203,c_201]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| ~ p1(sK101)
| ~ p1(sK100)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(renaming,[status(thm)],[c_396]) ).
tcf(c_398,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| ~ p1(sK101)
| ~ p1(sK100)
| ~ a(sK102,sK102) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_401,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP34
| sP36
| sP37
| sP38
| sP39
| ~ p1(sK101)
| ~ p1(sK100)
| ~ p1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_126,c_125,c_122,c_121,c_120,c_66,c_67,c_65,c_61,c_57,c_123,c_301,c_340,c_393,c_398]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP34
| sP36
| sP37
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_382,c_52]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_395,c_52]) ).
tcf(c_417,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_379,c_52]) ).
tcf(c_419,plain,
( ~ sP38
| ~ p1(sK45) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_52]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_417,c_54]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP34
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_415,c_54]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP34
| sP35
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_416,c_54]) ).
tcf(c_429,plain,
( ~ sP37
| ~ p1(sK47) ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_54]) ).
tcf(c_434,plain,
~ sP35,
inference(forward_subsumption_resolution,[status(thm)],[c_58,c_57]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP34
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_427,c_434]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP32
| sP33
| sP34
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_425,c_434]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_426,c_60]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP32
| sP33
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_441,c_60]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP33
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_440,c_60]) ).
tcf(c_452,plain,
~ sP34,
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_60]) ).
tcf(c_464,plain,
~ sP33,
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_61]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP30
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_449,c_464]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP30
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_450,c_464]) ).
tcf(c_477,plain,
~ sP30,
inference(forward_subsumption_resolution,[status(thm)],[c_68,c_67]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_471,c_477]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP27
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_468,c_477]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_448,c_75]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_484,c_75]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_483,c_75]) ).
tcf(c_499,plain,
~ sP26,
inference(forward_subsumption_resolution,[status(thm)],[c_78,c_358]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_493,c_499]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_492,c_499]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_491,c_499]) ).
tcf(c_517,plain,
( b(sK60)
| ~ sP25 ),
inference(backward_subsumption_resolution,[status(thm)],[c_82,c_81]) ).
tcf(c_520,plain,
~ sP24,
inference(forward_subsumption_resolution,[status(thm)],[c_84,c_370]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_508,c_520]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_507,c_520]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_506,c_520]) ).
tcf(c_536,plain,
~ sP23,
inference(forward_subsumption_resolution,[status(thm)],[c_88,c_87]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_528,c_536]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_524,c_536]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_529,c_536]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_543,c_93]) ).
tcf(c_558,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_545,c_93]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_540,c_93]) ).
tcf(c_567,plain,
~ sP21,
inference(backward_subsumption_resolution,[status(thm)],[c_92,c_94]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_559,c_109]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_557,c_109]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP16
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_558,c_109]) ).
tcf(c_586,plain,
~ sP17,
inference(backward_subsumption_resolution,[status(thm)],[c_107,c_109]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_583,c_113]) ).
tcf(c_600,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_584,c_113]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_582,c_113]) ).
tcf(c_603,plain,
~ sP16,
inference(backward_subsumption_resolution,[status(thm)],[c_111,c_113]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_601,c_132]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_599,c_132]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_600,c_132]) ).
tcf(c_644,plain,
~ sP4,
inference(forward_subsumption_resolution,[status(thm)],[c_172,c_373]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_622,c_644]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_620,c_644]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_621,c_344]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_651,c_344]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP8
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_650,c_344]) ).
tcf(c_690,plain,
( ~ sP7
| ~ p1(sK85) ),
inference(backward_subsumption_resolution,[status(thm)],[c_150,c_344]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_688,c_348]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_687,c_348]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP9
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_686,c_348]) ).
tcf(c_703,plain,
( ~ sP8
| ~ p1(sK83) ),
inference(backward_subsumption_resolution,[status(thm)],[c_145,c_348]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_700,c_352]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_699,c_352]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP25
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_698,c_352]) ).
tcf(c_714,plain,
( ~ sP9
| ~ p1(sK81) ),
inference(backward_subsumption_resolution,[status(thm)],[c_140,c_352]) ).
tcf(c_723,plain,
( r1(sK77)
| ~ sP11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_134,c_354]) ).
tcf(c_728,plain,
~ sP27,
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_360]) ).
tcf(c_740,plain,
~ sP25,
inference(forward_subsumption_resolution,[status(thm)],[c_517,c_80]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_711,c_740]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP28
| sP29
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_710,c_740]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP29
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_712,c_740]) ).
tcf(c_766,plain,
~ sP11,
inference(forward_subsumption_resolution,[status(thm)],[c_723,c_131]) ).
tcf(c_781,plain,
~ sP29,
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_70]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP28
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_745,c_781]) ).
tcf(c_787,plain,
! [X0: $i,X1: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_748,c_781]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0
| sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP28
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_744,c_781]) ).
tcf(c_845,plain,
~ sP38,
inference(forward_subsumption_resolution,[status(thm)],[c_419,c_52]) ).
tcf(c_854,plain,
~ sP37,
inference(forward_subsumption_resolution,[status(thm)],[c_429,c_54]) ).
tcf(c_863,plain,
~ sP7,
inference(forward_subsumption_resolution,[status(thm)],[c_690,c_344]) ).
tcf(c_872,plain,
~ sP8,
inference(forward_subsumption_resolution,[status(thm)],[c_703,c_348]) ).
tcf(c_881,plain,
~ sP9,
inference(forward_subsumption_resolution,[status(thm)],[c_714,c_352]) ).
tcf(c_895,plain,
~ sP28,
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_71]) ).
tcf(c_1045,plain,
! [X0: $i,X1: $i] :
( p(X0,sK93(X1))
| ~ sP3 ),
inference(backward_subsumption_resolution,[status(thm)],[c_176,c_175]) ).
tcf(c_1048,plain,
! [X0: $i,X1: $i] :
( ~ sP3
| ~ p(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_173,c_175]) ).
tcf(c_1053,plain,
~ sP3,
inference(forward_subsumption_resolution,[status(thm)],[c_1045,c_1048]) ).
tcf(c_1091,plain,
! [X0: $i] :
( ~ sP20
| ~ r1(sK67)
| ~ q1(X0)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_95,c_96]) ).
tcf(c_1101,plain,
! [X0: $i] :
( ~ sP19
| ~ r1(sK69)
| ~ q1(X0)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_99,c_100]) ).
tcf(c_1111,plain,
! [X0: $i] :
( ~ sP10
| ~ r1(sK78)
| ~ q1(X0)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_135,c_136]) ).
tcf(c_1141,plain,
! [X0: $i] :
( ~ sP20
| ~ q1(X0)
| ~ p1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1091,c_96]) ).
tcf(c_1156,plain,
! [X0: $i] :
( ~ sP19
| ~ q1(X0)
| ~ p1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1101,c_100]) ).
tcf(c_1171,plain,
! [X0: $i] :
( ~ sP10
| ~ q1(X0)
| ~ p1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1111,c_136]) ).
tcf(c_1356,plain,
( ~ sP18
| ~ a1(sK70) ),
inference(resolution,[status(thm)],[c_376,c_105]) ).
tcf(c_1357,plain,
~ sP18,
inference(global_subsumption_just,[status(thm)],[c_1356,c_106,c_1356]) ).
tcf(c_1368,plain,
! [X0: $i] :
( g(X0)
| ~ sP1
| ~ e(X0)
| ~ p1(f(X0)) ),
inference(resolution,[status(thm)],[c_185,c_189]) ).
tcf(c_1386,plain,
( g(sK97)
| p1(f(sK97))
| ~ sP1
| ~ e(sK97) ),
inference(resolution,[status(thm)],[c_188,c_190]) ).
tcf(c_1387,plain,
( g(sK97)
| p1(f(sK97))
| ~ sP1 ),
inference(global_subsumption_just,[status(thm)],[c_1386,c_187,c_1386]) ).
tcf(c_1401,plain,
( g(sK97)
| ~ sP1
| ~ p1(f(sK97)) ),
inference(resolution,[status(thm)],[c_187,c_1368]) ).
tcf(c_1402,plain,
( g(sK97)
| ~ sP1 ),
inference(global_subsumption_just,[status(thm)],[c_1401,c_1387,c_1401]) ).
tcf(c_1412,plain,
( ~ sP1
| ~ p1(sK97) ),
inference(resolution,[status(thm)],[c_184,c_1402]) ).
tcf(c_1413,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_1412,c_186,c_1412]) ).
tcf(c_1434,plain,
( q(sK87,sK88)
| ~ sP6 ),
inference(resolution,[status(thm)],[c_158,c_160]) ).
tcf(c_1441,plain,
( q(sK90,sK91)
| ~ sP5 ),
inference(resolution,[status(thm)],[c_166,c_164]) ).
tcf(c_1480,plain,
( p1(sK87)
| ~ sP6 ),
inference(resolution,[status(thm)],[c_157,c_159]) ).
tcf(c_1495,plain,
( p1(sK90)
| ~ sP5 ),
inference(resolution,[status(thm)],[c_165,c_163]) ).
tcf(c_1511,plain,
~ sP32,
inference(resolution,[status(thm)],[c_63,c_64]) ).
tcf(c_1519,plain,
( r1(sK76)
| q(f(sK76),sK76)
| ~ sP12 ),
inference(resolution,[status(thm)],[c_128,c_130]) ).
tcf(c_1529,plain,
! [X0: $i] :
( q(f(sK76),sK76)
| ~ sP12
| ~ r1(X0) ),
inference(resolution,[status(thm)],[c_128,c_129]) ).
tcf(c_1538,plain,
( q(f(sK76),sK76)
| ~ sP12 ),
inference(backward_subsumption_resolution,[status(thm)],[c_1519,c_1529]) ).
tcf(c_1541,plain,
! [X0: $i] :
( r1(sK76)
| ~ sP12
| ~ q(f(X0),X0) ),
inference(resolution,[status(thm)],[c_127,c_130]) ).
tcf(c_1552,plain,
! [X0: $i] :
( ~ sP12
| ~ r1(X0)
| ~ q(f(X0),X0) ),
inference(resolution,[status(thm)],[c_127,c_129]) ).
tcf(c_1606,plain,
( ~ sP6
| ~ p1(sK87) ),
inference(resolution,[status(thm)],[c_155,c_1434]) ).
tcf(c_1607,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_1606,c_1480,c_1606]) ).
tcf(c_1612,plain,
( ~ sP5
| ~ p1(sK90) ),
inference(resolution,[status(thm)],[c_161,c_1441]) ).
tcf(c_1613,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_1612,c_1495,c_1612]) ).
tcf(c_1619,plain,
( ~ sP12
| ~ r1(sK76) ),
inference(resolution,[status(thm)],[c_1538,c_1552]) ).
tcf(c_1626,plain,
( r1(sK76)
| ~ sP12 ),
inference(resolution,[status(thm)],[c_1538,c_1541]) ).
tcf(c_1627,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_1626,c_1619,c_1626]) ).
tcf(c_1714,plain,
( a_member_of(sK96(sK95,sK94),sK94)
| a_member_of(sK96(sK95,sK94),sK95)
| ~ sP2 ),
inference(resolution,[status(thm)],[c_178,c_181]) ).
tcf(c_1724,plain,
( ~ sP2
| ~ a_member_of(sK96(sK95,sK94),sK94)
| ~ a_member_of(sK96(sK95,sK94),sK95) ),
inference(resolution,[status(thm)],[c_178,c_180]) ).
tcf(c_1734,plain,
! [X0: $i] :
( a_member_of(X0,sK95)
| ~ sP2
| ~ a_member_of(X0,sK94) ),
inference(resolution,[status(thm)],[c_179,c_183]) ).
tcf(c_1743,plain,
( a_member_of(sK96(sK95,sK94),sK95)
| ~ sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_1714,c_1734]) ).
tcf(c_1746,plain,
( ~ sP2
| ~ a_member_of(sK96(sK95,sK94),sK94) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1724,c_1734]) ).
tcf(c_3201,plain,
! [X0: $i] :
( ~ sP10
| ~ p1(f(X0)) ),
inference(resolution,[status(thm)],[c_1171,c_139]) ).
tcf(c_3229,plain,
! [X0: $i] :
( ~ sP20
| ~ p1(f(X0)) ),
inference(resolution,[status(thm)],[c_1141,c_98]) ).
tcf(c_3237,plain,
! [X0: $i] :
( r1(X0)
| p1(f(X0))
| ~ sP10 ),
inference(resolution,[status(thm)],[c_138,c_139]) ).
tcf(c_3239,plain,
! [X0: $i] :
( r1(X0)
| ~ sP10 ),
inference(global_subsumption_just,[status(thm)],[c_3237,c_3201,c_3237]) ).
tcf(c_3251,plain,
! [X0: $i] :
( p1(f(X0))
| ~ sP10
| ~ r1(sK78)
| ~ r1(sK79) ),
inference(resolution,[status(thm)],[c_137,c_139]) ).
tcf(c_3253,plain,
( ~ r1(sK79)
| ~ r1(sK78)
| ~ sP10 ),
inference(global_subsumption_just,[status(thm)],[c_3251,c_3201,c_3251]) ).
tcf(c_3254,plain,
( ~ sP10
| ~ r1(sK78)
| ~ r1(sK79) ),
inference(renaming,[status(thm)],[c_3253]) ).
tcf(c_3258,plain,
~ sP10,
inference(forward_subsumption_resolution,[status(thm)],[c_3254,c_3239,c_3239]) ).
tcf(c_3274,plain,
! [X0: $i] :
( p1(f(X0))
| ~ sP20 ),
inference(resolution,[status(thm)],[c_97,c_98]) ).
tcf(c_3276,plain,
~ sP20,
inference(global_subsumption_just,[status(thm)],[c_3274,c_3229,c_3274]) ).
tcf(c_3282,plain,
( ~ sP19
| ~ p1(f(sK68)) ),
inference(resolution,[status(thm)],[c_1156,c_102]) ).
tcf(c_3292,plain,
! [X0: $i] :
( p1(f(X0))
| ~ sP19 ),
inference(resolution,[status(thm)],[c_101,c_102]) ).
tcf(c_3300,plain,
~ sP19,
inference(backward_subsumption_resolution,[status(thm)],[c_3282,c_3292]) ).
tcf(c_3302,plain,
( ~ sP15
| ~ p1(sK75) ),
inference(resolution,[status(thm)],[c_117,c_115]) ).
tcf(c_3332,plain,
! [X0: $i] :
( ~ sP22
| ~ p1(X0) ),
inference(resolution,[status(thm)],[c_89,c_91]) ).
tcf(c_3341,plain,
( p1(sK75)
| ~ sP15 ),
inference(resolution,[status(thm)],[c_116,c_118]) ).
tcf(c_3342,plain,
~ sP15,
inference(global_subsumption_just,[status(thm)],[c_3341,c_3302,c_3341]) ).
tcf(c_3348,plain,
~ sP22,
inference(backward_subsumption_resolution,[status(thm)],[c_90,c_3332]) ).
tcf(c_5014,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ p1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_55]) ).
tcf(c_5015,plain,
( iPr_def_13
| ~ sP36 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_55]) ).
tcf(c_5016,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| ~ a(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_49]) ).
tcf(c_5017,plain,
( iPr_def_14
| ~ sP39 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).
tcf(c_5034,plain,
! [X0: $i] :
( a_member_of(sK96(sK95,sK94),X0)
| ~ sP2
| ~ eq(X0,sK95)
| ~ a_member_of(sK96(sK95,sK94),sK95) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_5040,plain,
( a_member_of(sK96(sK95,sK94),sK94)
| ~ sP2
| ~ eq(sK94,sK95)
| ~ a_member_of(sK96(sK95,sK94),sK95) ),
inference(instantiation,[status(thm)],[c_5034]) ).
tcf(c_5044,plain,
( ~ iPr_def_14
| ~ a(sK41,sK40) ),
inference(instantiation,[status(thm)],[c_5016]) ).
tcf(c_5045,plain,
( ~ iPr_def_14
| ~ a(sK42,sK43) ),
inference(instantiation,[status(thm)],[c_5016]) ).
tcf(c_5046,plain,
( ~ iPr_def_13
| ~ p1(sK48) ),
inference(instantiation,[status(thm)],[c_5014]) ).
tcf(c_5048,plain,
( ~ iPr_def_13
| ~ p1(sK49) ),
inference(instantiation,[status(thm)],[c_5014]) ).
fof(f7,definition,
( ~ sP0
| ? [X130,X131] :
! [X132,X133] :
( s1(X130)
& ( ~ s1(X130)
| p(X132,X133) )
& r1(X131)
& r1(X130)
& ( ~ r1(X133)
| p(X131,X133) )
& q1(X131)
& q1(X130)
& ( ~ q1(X132)
| p(X132,X130) )
& ~ p(X130,X131) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
( ~ sP1
| ? [X17] :
! [X18,X19,X20,X21,X22] :
( ( ~ s(X17,X22)
| p1(X22) )
& ( ~ e(X19)
| c(f(X19))
| g(X19) )
& ( ~ e(X18)
| s(X18,f(X18))
| g(X18) )
& e(X17)
& p1(X17)
& ( ~ c(X21)
| ~ p1(X21) )
& ( ~ g(X20)
| ~ p1(X20) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
( ~ sP2
| ( ! [X99,X100] :
( eq(X99,X100)
<=> ! [X101] :
( a_member_of(X101,X99)
<=> a_member_of(X101,X100) ) )
& ? [X102,X103] :
( eq(X102,X103)
& ~ eq(X103,X102) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ~ sP3
| ! [X95] :
? [X96] :
! [X97] :
( ( p(X97,X95)
& p(X95,X97)
& ~ p(X97,X96) )
| ( p(X97,X96)
& ! [X98] : ~ p(X98,X97) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ~ sP4
| ( ? [X57] : p1(X57)
& ( ( a0
& ( ( q0
& ~ q0 )
| ( b0
& ~ b0 ) ) )
| ! [X58] : ~ p1(X58) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ~ sP5
| ? [X45,X46,X47] :
( ! [X49,X50] :
( ~ r(X49,X50)
| q(X49,X50) )
& ! [X48] :
( ~ s1(X48)
| p1(X48) )
& r(X46,X47)
& s1(X46)
& s1(X45)
& ! [X51,X52] :
( ~ q(X51,X52)
| ~ p1(X51) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ~ sP6
| ? [X23,X24,X25] :
( ! [X27,X28] :
( ~ r(X27,X28)
| q(X27,X28) )
& ! [X26] :
( ~ s1(X26)
| p1(X26) )
& r(X24,X25)
& s1(X24)
& s1(X23)
& ! [X29,X30] :
( ~ q(X29,X30)
| ~ p1(X29) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ~ sP7
| ? [X104,X105] :
( ! [X106] :
( ~ q1(X106)
| p1(X106) )
& ! [X107] :
( ( q1(X107)
& ~ p1(X105) )
| ( p1(X107)
& ~ p1(X104) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ~ sP8
| ? [X64,X65] :
( ! [X66] :
( ~ q1(X66)
| p1(X66) )
& ! [X67] :
( ( q1(X67)
& ~ p1(X65) )
| ( p1(X67)
& ~ p1(X64) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ~ sP9
| ? [X53,X54] :
( ! [X55] :
( ~ q1(X55)
| p1(X55) )
& ! [X56] :
( ( q1(X56)
& ~ p1(X54) )
| ( p1(X56)
& ~ p1(X53) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ~ sP10
| ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ~ q1(X3)
| ( r1(X4)
& ( ~ r1(X0)
| ~ r1(X1) ) )
| ( p1(f(X4))
& ~ p1(X3) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ~ sP11
| ( ? [X139] :
( ~ q1(X139)
| r1(X139) )
& ! [X138] :
( ~ p1(X138)
| q1(X138) )
& ! [X140] :
( p1(X140)
& ~ r1(X140) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ~ sP12
| ? [X134] :
( ! [X135] :
( ( r1(X134)
& ~ r1(X135) )
| p(f(X135),X135) )
& ! [X136,X137] :
( ( q(f(X134),X134)
& ~ q(X136,X137) )
| ~ p(X136,X137) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ~ sP13
| ( b0
& a0
& ( a0
<~> b0 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ~ sP14
| ( ~ b0
& ~ a0
& ( a0
<~> b0 ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP15
| ? [X110] :
( r1(X110)
& ! [X111] :
( ~ p1(X111)
| q1(X111) )
& ! [X112] :
( ~ r1(X112)
| p1(X112) )
& ~ q1(X110) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP16
| ( ! [X38] :
? [X39] :
( q1(X39)
& p1(X38) )
& ! [X40] :
? [X41] :
( ~ r1(X40)
& ~ p1(X41) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP17
| ( ? [X35] : q1(X35)
& ! [X34] : p1(X34)
& ! [X36] :
? [X37] :
( ~ r1(X36)
& ~ p1(X37) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP18
| ( ? [X15] :
( a1(X15)
& ~ b(X15) )
& ! [X14] :
( ~ a1(X14)
| c(X14)
| b(X14) )
& ! [X16] :
( ~ c(X16)
| ~ a1(X16) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP19
| ? [X10,X11] :
( q1(f(X10))
& ! [X12,X13] :
( ~ q1(X12)
| ( p1(f(X13))
& ( ( r1(X13)
& ( ~ r1(X11)
| ~ r1(X10) ) )
| ~ p1(X12) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP20
| ? [X5,X6] :
( ! [X7] : q1(f(X7))
& ! [X8,X9] :
( ~ q1(X8)
| ( p1(f(X9))
& ( ( r1(X9)
& ( ~ r1(X6)
| ~ r1(X5) ) )
| ~ p1(X8) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP21
| ? [X128] :
( ! [X129] :
( q1(X129)
& p1(X129) )
& ~ q1(X128) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP22
| ? [X113,X114] :
! [X115,X116] :
( ( ~ p1(X115)
| r1(X116) )
& p1(X113)
& ~ r1(X114) ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP23
| ( ? [X79] : b(X79)
& ! [X80] :
( ~ b(X80)
& ~ a1(X80) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP24
| ( ! [X77] : b(X77)
& ? [X76] : a1(X76)
& ! [X78] :
( ~ b(X78)
| ~ a1(X78) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP25
| ( ? [X71] :
( ~ a1(X71)
| b(X71) )
& ! [X72] : a1(X72)
& ! [X73] : ~ b(X73) ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP26
| ( ! [X68] :
( ~ a1(X68)
| b(X68) )
& ? [X69] : a1(X69)
& ! [X70] : ~ b(X70) ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP27
| ( ! [X61] :
( ~ p1(X61)
| q1(X61) )
& ! [X62] : p1(X62)
& ? [X63] : ~ q1(X63) ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP28
| ( ! [X42] :
? [X43] :
( a(X43,X43)
& a(X42,X43) )
& ! [X44] : ~ a(X44,X44) ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP29
| ( ! [X125,X126] : p(X125,X126)
& ? [X127] : ~ p(X127,X127) ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP30
| ( ? [X123] : p1(X123)
& ! [X124] : ~ p1(X124) ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP31
| ( p1(z)
& ~ p1(z) ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP32
| ( ? [X119] :
! [X120] : p(X119,X120)
& ? [X121] :
! [X122] : ~ p(X122,X121) ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP33
| ! [X117] :
( ? [X118] : p1(X118)
& ~ p1(X117) ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP34
| ! [X108] :
? [X109] :
( p1(X108)
& ~ p1(X109) ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP35
| ( ? [X93] : p1(X93)
& ! [X94] : ~ p1(X94) ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP36
| ( ? [X91] : p1(X91)
<~> ? [X92] : p1(X92) ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP37
| ( ! [X88] : p1(X88)
& ( ? [X90] : ~ p1(X90)
| ? [X89] : ~ p1(X89) ) ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP38
| ? [X85,X86] :
( ! [X87] : p1(X87)
& ( ~ p1(X86)
| ~ p1(X85) ) ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ~ sP39
| ( ? [X81,X82] : a(X81,X82)
<~> ? [X83,X84] : a(X84,X83) ) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f47,plain,
( sP11
| sP12
| sP0
| sP13
| sP14
| sP21
| sP29
| sP30
| sP31
| sP32
| sP33
| sP22
| sP15
| sP34
| sP7
| sP2
| sP3
| sP35
| sP36
| sP37
| sP38
| sP39
| sP23
| sP24
| ? [X74] :
! [X75] :
( a(X75,X74)
<=> ~ a(X75,X75) )
| sP25
| sP26
| sP8
| sP27
| ( ! [X59] : p1(X59)
& ! [X60] : ~ p1(X60) )
| sP4
| sP9
| sP5
| sP28
| sP16
| sP17
| ( ! [X31] : p1(X31)
& ? [X32,X33] :
( ~ p1(X33)
| ~ p1(X32) ) )
| sP6
| sP1
| sP18
| sP19
| sP20
| sP10 ),
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(f161,plain,
( ~ sP0
| ? [X130,X131] :
! [X132,X133] :
( s1(X130)
& ( ~ s1(X130)
| p(X132,X133) )
& r1(X131)
& r1(X130)
& ( ~ r1(X133)
| p(X131,X133) )
& q1(X131)
& q1(X130)
& ( ~ q1(X132)
| p(X132,X130) )
& ~ p(X130,X131) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f162,plain,
( ~ sP0
| ? [X0,X1] :
! [X2,X3] :
( s1(X0)
& ( ~ s1(X0)
| p(X2,X3) )
& r1(X1)
& r1(X0)
& ( ~ r1(X3)
| p(X1,X3) )
& q1(X1)
& q1(X0)
& ( ~ q1(X2)
| p(X2,X0) )
& ~ p(X0,X1) ) ),
inference(rectify,[],[f161]) ).
fof(f163,plain,
( ~ sP0
| ! [X2,X3] :
( s1(sK98)
& ( ~ s1(sK98)
| p(X2,X3) )
& r1(sK99)
& r1(sK98)
& ( ~ r1(X3)
| p(sK99,X3) )
& q1(sK99)
& q1(sK98)
& ( ~ q1(X2)
| p(X2,sK98) )
& ~ p(sK98,sK99) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98,sK99]),skolemize(X0,sK98),skolemize(X1,sK99)],[f162]) ).
fof(f310,plain,
( ~ sP0
| s1(sK98) ),
inference(cnf_transformation,[],[f163]) ).
fof(f311,plain,
! [X2,X3] :
( ~ sP0
| ~ s1(sK98)
| p(X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f318,plain,
( ~ sP0
| ~ p(sK98,sK99) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_191,plain,
( ~ sP0
| ~ p(sK98,sK99) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] :
( p(X0,X1)
| ~ sP0
| ~ s1(sK98) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_199,plain,
( s1(sK98)
| ~ sP0 ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( p(X0,X1)
| ~ sP0 ),
inference(global_subsumption_just,[status(thm)],[c_198,c_199,c_198]) ).
tcf(c_832,plain,
~ sP0,
inference(backward_subsumption_resolution,[status(thm)],[c_191,c_363]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP28
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_788,c_832]) ).
tcf(c_838,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP28
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_784,c_832]) ).
tcf(c_839,plain,
! [X0: $i,X1: $i] :
( sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_787,c_832]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_838,c_895]) ).
tcf(c_900,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1
| sP2
| sP3
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_835,c_895]) ).
tcf(c_1057,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1
| sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X2)
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_900,c_1053]) ).
tcf(c_1058,plain,
! [X0: $i,X1: $i] :
( sP1
| sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_839,c_1053]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1
| sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X2)
| a(X1,sK102)
| a(X1,X1)
| ~ p1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_899,c_1053]) ).
tcf(c_1069,plain,
! [X0: $i,X1: $i] :
( sP1
| sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1058,c_49]) ).
tcf(c_1304,plain,
! [X0: $i,X1: $i] :
( sP1
| sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP18
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1057,c_1059]) ).
tcf(c_1364,plain,
! [X0: $i,X1: $i] :
( sP1
| sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP32
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1069,c_1357]) ).
tcf(c_1365,plain,
! [X0: $i,X1: $i] :
( sP1
| sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1304,c_1357]) ).
tcf(c_1419,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP32
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1365,c_1413]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP32
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1364,c_1413]) ).
tcf(c_1565,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1420,c_1511]) ).
tcf(c_1566,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP6
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1419,c_1511]) ).
tcf(c_1633,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1566,c_1607]) ).
tcf(c_1634,plain,
! [X0: $i,X1: $i] :
( sP2
| sP5
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1565,c_1607]) ).
tcf(c_1640,plain,
! [X0: $i,X1: $i] :
( sP2
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1634,c_1613]) ).
tcf(c_1641,plain,
! [X0: $i,X1: $i] :
( sP2
| sP10
| sP12
| sP15
| sP19
| sP20
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1633,c_1613]) ).
tcf(c_1645,plain,
! [X0: $i,X1: $i] :
( sP2
| sP10
| sP15
| sP19
| sP20
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1641,c_1627]) ).
tcf(c_1646,plain,
! [X0: $i,X1: $i] :
( sP2
| sP10
| sP15
| sP19
| sP20
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1640,c_1627]) ).
tcf(c_3313,plain,
! [X0: $i,X1: $i] :
( sP2
| sP15
| sP19
| sP20
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1646,c_3258]) ).
tcf(c_3314,plain,
! [X0: $i,X1: $i] :
( sP2
| sP15
| sP19
| sP20
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1645,c_3258]) ).
tcf(c_3319,plain,
! [X0: $i,X1: $i] :
( sP2
| sP15
| sP19
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3314,c_3276]) ).
tcf(c_3320,plain,
! [X0: $i,X1: $i] :
( sP2
| sP15
| sP19
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3313,c_3276]) ).
tcf(c_3325,plain,
! [X0: $i,X1: $i] :
( sP2
| sP15
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3320,c_3300]) ).
tcf(c_3326,plain,
! [X0: $i,X1: $i] :
( sP2
| sP15
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3319,c_3300]) ).
tcf(c_3352,plain,
! [X0: $i,X1: $i] :
( sP2
| sP22
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3326,c_3342]) ).
tcf(c_3353,plain,
! [X0: $i,X1: $i] :
( sP2
| sP22
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3325,c_3342]) ).
tcf(c_3357,plain,
! [X0: $i,X1: $i] :
( sP2
| sP36
| p1(X1)
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(resolution,[status(thm)],[c_3353,c_3348]) ).
tcf(c_3374,plain,
! [X0: $i,X1: $i] :
( sP2
| sP36
| sP39
| p1(X1)
| a(X0,sK102)
| a(X0,X0) ),
inference(resolution,[status(thm)],[c_3352,c_3348]) ).
tcf(c_5009,plain,
! [X0: $i] :
( ~ iPr_def_10
| p1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_3374]) ).
tcf(c_5010,plain,
! [X0: $i] :
( ~ iPr_def_11
| a(X0,sK102)
| a(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_3374]) ).
tcf(c_5011,plain,
( iPr_def_11
| iPr_def_10
| sP2
| sP36
| sP39 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3374]) ).
tcf(c_5012,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_3357]) ).
tcf(c_5013,plain,
( iPr_def_12
| iPr_def_10
| sP2
| sP36 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3357]) ).
tcf(c_5018,plain,
( iPr_def_11
| iPr_def_10
| sP2
| sP36
| sP39 ),
inference(demodulation,[status(thm)],[c_5011]) ).
tcf(c_5019,plain,
! [X0: $i] :
( a(X0,sK102)
| a(X0,X0)
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_5010]) ).
tcf(c_5021,plain,
( iPr_def_12
| iPr_def_10
| sP2
| sP36 ),
inference(demodulation,[status(thm)],[c_5013]) ).
tcf(c_5022,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ a(X0,sK102)
| ~ a(X0,X0) ),
inference(demodulation,[status(thm)],[c_5012]) ).
tcf(c_5023,plain,
! [X0: $i] :
( p1(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_5009]) ).
tcf(c_5028,plain,
( a(sK102,sK102)
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_5019]) ).
tcf(c_5029,plain,
( ~ iPr_def_12
| ~ a(sK102,sK102) ),
inference(instantiation,[status(thm)],[c_5022]) ).
tcf(c_5030,plain,
( p1(sK100)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_5023]) ).
tcf(c_5031,plain,
( p1(sK101)
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_5023]) ).
tcf(c_5049,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5048,c_5046,c_5045,c_5044,c_5040,c_5031,c_5030,c_5029,c_5028,c_5018,c_5023,c_5021,c_5017,c_5015,c_3348,c_3342,c_3300,c_3276,c_3258,c_1746,c_1743,c_1627,c_1613,c_1607,c_1511,c_1413,c_1357,c_1053,c_895,c_881,c_872,c_863,c_854,c_845,c_832,c_781,c_766,c_740,c_728,c_603,c_586,c_567,c_536,c_520,c_499,c_452,c_401,c_50,c_56,c_179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN938+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Fri Sep 25 02:35:52 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.31 Running first-order theorem proving
% 0.02/0.31 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 2.84/1.07 % SZS status Started for theBenchmark.p
% 2.84/1.07 % SZS status Theorem for theBenchmark.p
% 2.84/1.07
% 2.84/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.84/1.07
% 2.84/1.07 % ------ iProver source info
% 2.84/1.07
% 2.84/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 2.84/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.84/1.07 % git: non_committed_changes: false
% 2.84/1.07
% 2.84/1.07 % ------ Parsing...
% 2.84/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.84/1.07
% 2.84/1.07 % ------ Preprocessing... sf_s rm: 26 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.84/1.07
% 2.84/1.07 % ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.84/1.07 % ------ Proving...
% 2.84/1.07 % ------ Problem Properties
% 2.84/1.07
% 2.84/1.07 %
% 2.84/1.07 % clauses 18
% 2.84/1.07 % conjectures 0
% 2.84/1.07 % EPR 16
% 2.84/1.07 % Horn 11
% 2.84/1.07 % unary 0
% 2.84/1.07 % binary 7
% 2.84/1.07 % lits 55
% 2.84/1.07 % lits eq 0
% 2.84/1.07 % fd_pure 0
% 2.84/1.07 % fd_pseudo 0
% 2.84/1.07 % fd_cond 0
% 2.84/1.07 % fd_pseudo_cond 0
% 2.84/1.07 % AC symbols 0
% 2.84/1.07
% 2.84/1.07 % ------ Schedule dynamic 5 is on
% 2.84/1.07
% 2.84/1.07 % ------ no conjectures: strip conj schedule
% 2.84/1.07
% 2.84/1.07 % ------ no equalities: superposition off
% 2.84/1.07
% 2.84/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.84/1.07
% 2.84/1.07
% 2.84/1.07 % ------
% 2.84/1.07 % Current options:
% 2.84/1.07 % ------
% 2.84/1.07
% 2.84/1.07
% 2.84/1.07 %
% 2.84/1.07
% 2.84/1.07 % ------ Proving...
% 2.84/1.07 %
% 2.84/1.07
% 2.84/1.07 % SZS status Theorem for theBenchmark.p
% 2.84/1.07
% 2.84/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.84/1.07
% 2.84/1.07
%------------------------------------------------------------------------------