TSTP Solution File: SYN938+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:00:06 EDT 2023
% Result : Theorem 0.88s 0.93s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f: $i > $i ).
tff(decl_23,type,
q1: $i > $o ).
tff(decl_24,type,
p1: $i > $o ).
tff(decl_25,type,
r1: $i > $o ).
tff(decl_26,type,
a1: $i > $o ).
tff(decl_27,type,
b: $i > $o ).
tff(decl_28,type,
c: $i > $o ).
tff(decl_29,type,
e: $i > $o ).
tff(decl_30,type,
g: $i > $o ).
tff(decl_31,type,
s: ( $i * $i ) > $o ).
tff(decl_32,type,
s1: $i > $o ).
tff(decl_33,type,
r: ( $i * $i ) > $o ).
tff(decl_34,type,
q: ( $i * $i ) > $o ).
tff(decl_35,type,
a: ( $i * $i ) > $o ).
tff(decl_36,type,
a0: $o ).
tff(decl_37,type,
b0: $o ).
tff(decl_38,type,
q0: $o ).
tff(decl_39,type,
p: ( $i * $i ) > $o ).
tff(decl_40,type,
eq: ( $i * $i ) > $o ).
tff(decl_41,type,
a_member_of: ( $i * $i ) > $o ).
tff(decl_42,type,
z: $i ).
tff(decl_43,type,
f0: $o ).
tff(decl_44,type,
g0: $o ).
tff(decl_45,type,
epred1_0: $o ).
tff(decl_46,type,
epred2_0: $o ).
tff(decl_47,type,
epred3_0: $o ).
tff(decl_48,type,
epred4_0: $o ).
tff(decl_49,type,
epred5_0: $o ).
tff(decl_50,type,
epred6_0: $o ).
tff(decl_51,type,
epred7_0: $o ).
tff(decl_52,type,
epred8_0: $o ).
tff(decl_53,type,
epred9_0: $o ).
tff(decl_54,type,
epred10_0: $o ).
tff(decl_55,type,
epred11_0: $o ).
tff(decl_56,type,
epred12_0: $o ).
tff(decl_57,type,
epred13_0: $o ).
tff(decl_58,type,
esk1_0: $i ).
tff(decl_59,type,
esk2_0: $i ).
tff(decl_60,type,
esk3_0: $i ).
tff(decl_61,type,
esk4_0: $i ).
tff(decl_62,type,
esk5_0: $i ).
tff(decl_63,type,
esk6_0: $i ).
tff(decl_64,type,
esk7_0: $i ).
tff(decl_65,type,
esk8_0: $i ).
tff(decl_66,type,
esk9_0: $i ).
tff(decl_67,type,
esk10_0: $i ).
tff(decl_68,type,
esk11_0: $i ).
tff(decl_69,type,
esk12_0: $i ).
tff(decl_70,type,
esk13_0: $i ).
tff(decl_71,type,
esk14_0: $i ).
tff(decl_72,type,
esk15_0: $i ).
tff(decl_73,type,
esk16_0: $i ).
tff(decl_74,type,
esk17_0: $i ).
tff(decl_75,type,
esk18_0: $i ).
tff(decl_76,type,
esk19_1: $i > $i ).
tff(decl_77,type,
esk20_0: $i ).
tff(decl_78,type,
esk21_0: $i ).
tff(decl_79,type,
esk22_0: $i ).
tff(decl_80,type,
esk23_0: $i ).
tff(decl_81,type,
esk24_0: $i ).
tff(decl_82,type,
esk25_0: $i ).
tff(decl_83,type,
esk26_0: $i ).
tff(decl_84,type,
esk27_0: $i ).
tff(decl_85,type,
esk28_0: $i ).
tff(decl_86,type,
esk29_0: $i ).
tff(decl_87,type,
esk30_0: $i ).
tff(decl_88,type,
esk31_0: $i ).
tff(decl_89,type,
esk32_0: $i ).
tff(decl_90,type,
esk33_0: $i ).
tff(decl_91,type,
esk34_0: $i ).
tff(decl_92,type,
esk35_0: $i ).
tff(decl_93,type,
esk36_0: $i ).
tff(decl_94,type,
esk37_0: $i ).
tff(decl_95,type,
esk38_0: $i ).
tff(decl_96,type,
esk39_0: $i ).
tff(decl_97,type,
esk40_0: $i ).
tff(decl_98,type,
esk41_0: $i ).
tff(decl_99,type,
esk42_0: $i ).
tff(decl_100,type,
esk43_0: $i ).
tff(decl_101,type,
esk44_0: $i ).
tff(decl_102,type,
esk45_1: $i > $i ).
tff(decl_103,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk47_0: $i ).
tff(decl_105,type,
esk48_0: $i ).
tff(decl_106,type,
esk49_0: $i ).
tff(decl_107,type,
esk50_0: $i ).
tff(decl_108,type,
esk51_0: $i ).
tff(decl_109,type,
esk52_0: $i ).
tff(decl_110,type,
esk53_0: $i ).
tff(decl_111,type,
esk54_0: $i ).
tff(decl_112,type,
esk55_0: $i ).
tff(decl_113,type,
esk56_0: $i ).
tff(decl_114,type,
esk57_0: $i ).
tff(decl_115,type,
esk58_0: $i ).
tff(decl_116,type,
esk59_0: $i ).
tff(decl_117,type,
esk60_0: $i ).
tff(decl_118,type,
esk61_0: $i ).
tff(decl_119,type,
esk62_0: $i ).
tff(decl_120,type,
esk63_0: $i ).
fof(prove_this,conjecture,
( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( ( b0
| ~ b0 )
& ( q0
=> q0 ) ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) )
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) )
& ? [X3] :
! [X4] :
? [X5] :
( ( p(X5,X4)
=> ? [X10] : p(X10,X5) )
& ( ( p(X3,X5)
& p(X5,X3) )
=> p(X5,X4) ) )
& ( ! [X4,X5] :
( eq(X4,X5)
<=> ! [X3] :
( a_member_of(X3,X4)
<=> a_member_of(X3,X5) ) )
=> ! [X6,X2] :
( eq(X6,X2)
=> eq(X2,X6) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ? [X4] :
! [X5] :
( p1(X4)
=> p1(X5) )
& ! [X2] :
( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& r1(X2) )
=> ( ! [X5] :
( r1(X5)
=> p1(X5) )
=> q1(X2) ) )
& ! [X6,X2] :
? [X4,X5] :
( ( p1(X4)
=> r1(X5) )
=> ( p1(X6)
=> r1(X2) ) )
& ? [X5] :
( ? [X4] : p1(X4)
=> p1(X5) )
& ( ? [X4] :
! [X5] : p(X4,X5)
=> ! [X5] :
? [X4] : p(X4,X5) )
& ( p1(z)
=> p1(z) )
& ( ? [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4,X5] : p(X4,X5)
=> ! [X4] : p(X4,X4) )
& ! [X6] :
( ( ( f0
| g0 )
& ! [X4] :
( p1(X4)
& q1(X4) ) )
=> q1(X6) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [X6,X2] :
? [X4,X5] :
( ( ( q1(X4)
=> p(X4,X6) )
& q1(X6)
& q1(X2)
& ( r1(X5)
=> p(X2,X5) )
& r1(X6)
& r1(X2)
& ( s1(X6)
=> p(X4,X5) )
& s1(X6) )
=> p(X6,X2) )
& ! [X2] :
( ! [X5] :
( ( r1(X2)
=> r1(X5) )
=> p(f(X5),X5) )
=> ? [X4,X5] :
( p(X4,X5)
& ( q(f(X2),X2)
=> q(X4,X5) ) ) )
& ( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& ? [X5] :
( q1(X5)
=> r1(X5) ) )
=> ? [X3] :
( p1(X3)
=> r1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(c_0_1,plain,
( epred1_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) ) )
=> epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,plain,
! [X16,X17,X18,X21,X22,X23,X26,X27] :
( ( q1(f(esk6_0))
| q1(f(X21))
| q1(f(X16))
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| q1(f(X21))
| q1(f(X16))
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| q1(f(X16))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| q1(f(X16))
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X23))
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| q1(f(X16))
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X21))
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| q1(f(X21))
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X18))
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X21))
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| q1(f(X21))
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| r1(X18)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| q1(f(X21))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| p1(f(X23))
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| r1(X23)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( p1(f(X27))
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( r1(X27)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X26)
| ~ q1(X26)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X22)
| ~ q1(X22)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X17)
| ~ q1(X17)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
cnf(c_0_4,plain,
( q1(f(X2))
| q1(f(X3))
| epred1_0
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X1)
| ~ q1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( r1(X1)
| q1(f(X3))
| q1(f(X4))
| epred1_0
| ~ p1(X2)
| ~ q1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| ~ p1(X3)
| ~ q1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_4,c_0_5]),c_0_5]) ).
cnf(c_0_7,plain,
( p1(f(X1))
| q1(f(X3))
| q1(f(X4))
| epred1_0
| ~ q1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,plain,
( q1(f(esk6_0))
| q1(f(X1))
| q1(f(X2))
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,plain,
( epred1_0
| q1(f(X1))
| ~ p1(X2)
| ~ q1(X2) ),
inference(ef,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( epred1_0
| p1(f(X1))
| q1(f(X2))
| ~ q1(X3) ),
inference(ef,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( epred1_0
| q1(f(esk6_0))
| q1(f(X1)) ),
inference(ef,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| ~ q1(f(X3))
| ~ q1(X4) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( epred1_0
| q1(f(esk6_0)) ),
inference(ef,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( p1(f(X1))
| p1(f(X3))
| r1(X5)
| p1(f(X5))
| epred1_0
| ~ q1(X2)
| ~ q1(X4)
| ~ q1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,plain,
( epred1_0
| q1(f(X1))
| ~ q1(X2) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( epred1_0
| r1(X1)
| p1(f(X1))
| p1(f(X2))
| ~ q1(X3)
| ~ q1(X4)
| ~ q1(X5) ),
inference(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( epred1_0
| q1(f(X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_19,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| p1(f(X1))
| ~ q1(X3)
| ~ q1(X4) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
( p1(f(X1))
| p1(f(X3))
| epred1_0
| ~ q1(X2)
| ~ q1(X4)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X5)
| ~ q1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,plain,
( p1(f(X1))
| p1(f(X3))
| r1(X5)
| epred1_0
| ~ q1(X2)
| ~ q1(X4)
| ~ p1(X6)
| ~ q1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,plain,
( epred1_0
| r1(X1)
| p1(f(X1))
| p1(f(X2))
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_23,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ p1(X3)
| ~ q1(X3)
| ~ q1(X4)
| ~ q1(X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_24,plain,
( p1(f(X1))
| p1(f(X3))
| p1(f(X5))
| epred1_0
| ~ q1(X2)
| ~ q1(X4)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ q1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| p1(f(X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_26,plain,
( epred1_0
| p1(f(X1))
| ~ p1(X2)
| ~ q1(X2)
| ~ q1(X3)
| ~ q1(X4) ),
inference(ef,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( epred1_0
| p1(f(esk2_0))
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| p1(f(X4))
| ~ r1(esk3_0)
| ~ q1(X5)
| ~ q1(X6)
| ~ q1(X7) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( epred1_0
| p1(f(X1))
| ~ p1(X2)
| ~ q1(X2)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_29,plain,
( epred1_0
| p1(f(esk3_0))
| p1(f(esk2_0))
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| p1(f(X4))
| p1(f(X5))
| ~ q1(X6)
| ~ q1(X7)
| ~ q1(X8) ),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_30,plain,
( epred1_0
| p1(f(X1))
| ~ p1(X2)
| ~ q1(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_31,plain,
( epred1_0
| p1(f(esk3_0))
| p1(f(esk2_0))
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| p1(f(X4))
| ~ q1(X5)
| ~ q1(X6)
| ~ q1(X7) ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_32,plain,
( epred1_0
| p1(f(esk2_0))
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| p1(f(X4))
| p1(f(X5))
| ~ q1(X6)
| ~ q1(X7)
| ~ q1(X8) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18]) ).
cnf(c_0_33,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| p1(f(X4))
| p1(f(X5))
| p1(f(X6))
| ~ q1(X7)
| ~ q1(X8)
| ~ q1(X9) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_18]) ).
cnf(c_0_34,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| p1(f(X4))
| p1(f(X5))
| ~ q1(X6)
| ~ q1(X7)
| ~ q1(X8) ),
inference(ef,[status(thm)],[c_0_33]) ).
cnf(c_0_35,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| p1(f(X4))
| ~ q1(X5)
| ~ q1(X6)
| ~ q1(X7) ),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_36,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| ~ q1(X4)
| ~ q1(X5)
| ~ q1(X6) ),
inference(ef,[status(thm)],[c_0_35]) ).
cnf(c_0_37,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ q1(X3)
| ~ q1(X4)
| ~ q1(X5) ),
inference(ef,[status(thm)],[c_0_36]) ).
cnf(c_0_38,plain,
( epred1_0
| p1(f(X1))
| ~ q1(X2)
| ~ q1(X3)
| ~ q1(X4) ),
inference(ef,[status(thm)],[c_0_37]) ).
cnf(c_0_39,plain,
( r1(X2)
| r1(X4)
| epred1_0
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X1)
| ~ q1(X1)
| ~ p1(X3)
| ~ q1(X3)
| ~ p1(X5)
| ~ q1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_40,plain,
( r1(X1)
| r1(X3)
| r1(X5)
| epred1_0
| ~ p1(X2)
| ~ q1(X2)
| ~ p1(X4)
| ~ q1(X4)
| ~ p1(X6)
| ~ q1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_41,plain,
( epred1_0
| p1(f(X1))
| ~ q1(X2)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_18]) ).
cnf(c_0_42,plain,
( epred1_0
| r1(X1)
| r1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ q1(X3)
| ~ q1(X4)
| ~ q1(X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_39,c_0_40]),c_0_40]) ).
cnf(c_0_43,plain,
( epred1_0
| p1(f(X1))
| ~ q1(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_18]) ).
cnf(c_0_44,plain,
( epred1_0
| r1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ q1(X2)
| ~ q1(X3)
| ~ q1(X4) ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_45,plain,
( epred1_0
| p1(f(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_18]) ).
cnf(c_0_46,plain,
( epred1_0
| r1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ q1(X2)
| ~ q1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_18]) ).
cnf(c_0_47,plain,
( epred1_0
| r1(X1)
| ~ p1(X2)
| ~ q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_18]) ).
cnf(c_0_48,plain,
( epred1_0
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X1)
| ~ q1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X2)
| ~ q1(X2)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X3)
| ~ q1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_49,plain,
( epred1_0
| r1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_18]) ).
fof(c_0_50,plain,
( epred2_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_51,plain,
( epred1_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ q1(X1)
| ~ q1(X2)
| ~ q1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]),c_0_49]) ).
fof(c_0_52,plain,
( ( epred1_0
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) ) )
=> epred2_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_50]),c_0_1]) ).
cnf(c_0_53,plain,
( epred1_0
| ~ p1(X1)
| ~ p1(X2)
| ~ q1(X1)
| ~ q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_45]),c_0_18]) ).
fof(c_0_54,plain,
! [X28,X30,X32,X33,X34,X35,X36] :
( ( p1(esk9_0)
| ~ a1(X28)
| b(X28)
| c(X28)
| ~ epred1_0
| epred2_0 )
& ( e(esk9_0)
| ~ a1(X28)
| b(X28)
| c(X28)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X32)
| g(X32)
| s(X32,f(X32))
| ~ a1(X28)
| b(X28)
| c(X28)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X33)
| g(X33)
| c(f(X33))
| ~ a1(X28)
| b(X28)
| c(X28)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X36)
| p1(X36)
| ~ a1(X28)
| b(X28)
| c(X28)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X34)
| ~ g(X34)
| ~ a1(X28)
| b(X28)
| c(X28)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X35)
| ~ c(X35)
| ~ a1(X28)
| b(X28)
| c(X28)
| ~ epred1_0
| epred2_0 )
& ( p1(esk9_0)
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( e(esk9_0)
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X32)
| g(X32)
| s(X32,f(X32))
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X33)
| g(X33)
| c(f(X33))
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X36)
| p1(X36)
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X34)
| ~ g(X34)
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X35)
| ~ c(X35)
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p1(esk9_0)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( e(esk9_0)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X32)
| g(X32)
| s(X32,f(X32))
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X33)
| g(X33)
| c(f(X33))
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X36)
| p1(X36)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X34)
| ~ g(X34)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X35)
| ~ c(X35)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p1(esk9_0)
| ~ a1(X30)
| ~ c(X30)
| ~ epred1_0
| epred2_0 )
& ( e(esk9_0)
| ~ a1(X30)
| ~ c(X30)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X32)
| g(X32)
| s(X32,f(X32))
| ~ a1(X30)
| ~ c(X30)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X33)
| g(X33)
| c(f(X33))
| ~ a1(X30)
| ~ c(X30)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X36)
| p1(X36)
| ~ a1(X30)
| ~ c(X30)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X34)
| ~ g(X34)
| ~ a1(X30)
| ~ c(X30)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X35)
| ~ c(X35)
| ~ a1(X30)
| ~ c(X30)
| ~ epred1_0
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])]) ).
cnf(c_0_55,plain,
( epred1_0
| ~ p1(X1)
| ~ q1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_18]) ).
cnf(c_0_56,plain,
( e(esk9_0)
| b(X1)
| c(X1)
| epred2_0
| ~ a1(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_57,plain,
( e(esk9_0)
| epred2_0
| ~ a1(X1)
| ~ c(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,plain,
( p1(X1)
| b(X2)
| c(X2)
| epred2_0
| ~ s(esk9_0,X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
( p1(X1)
| epred2_0
| ~ s(esk9_0,X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,plain,
( g(X1)
| s(X1,f(X1))
| b(X2)
| c(X2)
| epred2_0
| ~ e(X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( g(X1)
| s(X1,f(X1))
| epred2_0
| ~ e(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,plain,
( e(esk9_0)
| epred2_0
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_18]) ).
cnf(c_0_64,plain,
( epred2_0
| e(esk9_0)
| b(X1)
| ~ epred1_0
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
( e(esk9_0)
| a1(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( epred2_0
| b(X1)
| p1(X2)
| ~ epred1_0
| ~ s(esk9_0,X2)
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| b(X2)
| ~ epred1_0
| ~ e(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,plain,
( epred2_0
| e(esk9_0)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_69,plain,
( epred2_0
| e(esk9_0)
| b(X1)
| ~ a1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63])]) ).
cnf(c_0_70,plain,
( epred2_0
| e(esk9_0)
| a1(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_63])]) ).
cnf(c_0_71,plain,
( p1(esk9_0)
| b(X1)
| c(X1)
| epred2_0
| ~ a1(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_72,plain,
( p1(esk9_0)
| epred2_0
| ~ a1(X1)
| ~ c(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_73,plain,
( b(X2)
| c(X2)
| epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_74,plain,
( epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_75,plain,
( epred2_0
| b(X1)
| p1(X2)
| ~ s(esk9_0,X2)
| ~ a1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_63])]) ).
cnf(c_0_76,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| b(X2)
| ~ e(X1)
| ~ a1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_63])]) ).
cnf(c_0_77,plain,
( epred2_0
| e(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_78,plain,
( p1(esk9_0)
| epred2_0
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_79,plain,
( epred2_0
| b(X1)
| p1(esk9_0)
| ~ epred1_0
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,plain,
( p1(esk9_0)
| a1(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_81,plain,
( epred2_0
| b(X1)
| ~ epred1_0
| ~ g(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,plain,
( epred2_0
| g(esk9_0)
| b(X1)
| b(X2)
| p1(f(esk9_0))
| ~ a1(X2)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_83,plain,
( epred2_0
| p1(esk9_0)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_63])]) ).
cnf(c_0_84,plain,
( epred2_0
| b(X1)
| p1(esk9_0)
| ~ a1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_63])]) ).
cnf(c_0_85,plain,
( epred2_0
| a1(esk8_0)
| p1(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_63])]) ).
cnf(c_0_86,plain,
( epred2_0
| b(X1)
| ~ g(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_63])]) ).
cnf(c_0_87,plain,
( epred2_0
| g(esk9_0)
| b(X1)
| p1(f(esk9_0))
| ~ a1(X1) ),
inference(ef,[status(thm)],[c_0_82]) ).
cnf(c_0_88,plain,
( epred2_0
| p1(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_89,plain,
( g(X1)
| c(f(X1))
| b(X2)
| c(X2)
| epred2_0
| ~ e(X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_90,plain,
( g(X1)
| c(f(X1))
| epred2_0
| ~ e(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_91,plain,
( g(X1)
| s(X1,f(X1))
| epred2_0
| ~ e(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_92,plain,
( epred2_0
| b(X1)
| b(X2)
| p1(f(esk9_0))
| ~ a1(X2)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_93,plain,
( g(X1)
| s(X1,f(X1))
| a1(esk8_0)
| epred2_0
| ~ e(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_94,plain,
( p1(X1)
| a1(esk8_0)
| epred2_0
| ~ s(esk9_0,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_95,plain,
( epred2_0
| g(X1)
| c(f(X1))
| b(X2)
| ~ epred1_0
| ~ e(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
( p1(X1)
| epred2_0
| ~ s(esk9_0,X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_97,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| ~ e(X1)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_63])]) ).
cnf(c_0_98,plain,
( epred2_0
| b(X1)
| p1(f(esk9_0))
| ~ a1(X1) ),
inference(ef,[status(thm)],[c_0_92]) ).
cnf(c_0_99,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| a1(esk8_0)
| ~ e(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_63])]) ).
cnf(c_0_100,plain,
( a1(esk8_0)
| epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_101,plain,
( epred2_0
| a1(esk8_0)
| p1(X1)
| ~ s(esk9_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_63])]) ).
cnf(c_0_102,plain,
( b(X2)
| c(X2)
| epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_103,plain,
( epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_104,plain,
( epred2_0
| g(X1)
| c(f(X1))
| b(X2)
| ~ e(X1)
| ~ a1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_63])]) ).
cnf(c_0_105,plain,
( epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_106,plain,
( epred2_0
| p1(X1)
| ~ s(esk9_0,X1)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_63])]) ).
cnf(c_0_107,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| p1(f(esk9_0))
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_108,plain,
( epred2_0
| a1(esk8_0)
| ~ g(X1)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_63])]) ).
cnf(c_0_109,plain,
( epred2_0
| g(esk9_0)
| a1(esk8_0)
| p1(f(esk9_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_99]),c_0_77]) ).
cnf(c_0_110,plain,
( epred2_0
| b(X1)
| ~ epred1_0
| ~ c(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_111,plain,
( epred2_0
| c(f(X1))
| b(X2)
| b(X3)
| ~ e(X1)
| ~ a1(X3)
| ~ a1(X2)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_104]) ).
cnf(c_0_112,plain,
( epred2_0
| ~ g(X1)
| ~ b(esk8_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_63])]) ).
cnf(c_0_113,plain,
( epred2_0
| g(esk9_0)
| p1(f(esk9_0))
| ~ b(esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_77]) ).
cnf(c_0_114,plain,
( epred2_0
| a1(esk8_0)
| p1(f(esk9_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_88]) ).
cnf(c_0_115,plain,
( g(X1)
| c(f(X1))
| a1(esk8_0)
| epred2_0
| ~ e(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_116,plain,
( epred2_0
| b(X1)
| ~ c(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_63])]) ).
cnf(c_0_117,plain,
( epred2_0
| c(f(X1))
| b(X2)
| ~ e(X1)
| ~ a1(X2)
| ~ p1(X1) ),
inference(ef,[status(thm)],[c_0_111]) ).
cnf(c_0_118,plain,
( epred2_0
| p1(f(esk9_0))
| ~ g(X1)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_98]),c_0_108]) ).
cnf(c_0_119,plain,
( epred2_0
| g(esk9_0)
| p1(f(esk9_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_98]),c_0_114]) ).
cnf(c_0_120,plain,
( a1(esk8_0)
| epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_121,plain,
( epred2_0
| g(X1)
| c(f(X1))
| a1(esk8_0)
| ~ e(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_63])]) ).
cnf(c_0_122,plain,
( epred2_0
| b(X1)
| b(X2)
| ~ e(X3)
| ~ a1(X2)
| ~ a1(X1)
| ~ p1(f(X3))
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,plain,
( epred2_0
| p1(f(esk9_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_88]) ).
cnf(c_0_124,plain,
( epred2_0
| a1(esk8_0)
| ~ c(X1)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_63])]) ).
cnf(c_0_125,plain,
( epred2_0
| c(f(X1))
| a1(esk8_0)
| ~ e(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_121]) ).
cnf(c_0_126,plain,
( epred2_0
| b(X1)
| b(X2)
| ~ a1(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_88]),c_0_77]) ).
cnf(c_0_127,plain,
( epred2_0
| a1(esk8_0)
| ~ e(X1)
| ~ p1(f(X1))
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,plain,
( g(X1)
| c(f(X1))
| epred2_0
| ~ e(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_129,plain,
( epred3_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) ) ) ),
introduced(definition) ).
cnf(c_0_130,plain,
( epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_131,plain,
( epred2_0
| b(X1)
| ~ a1(X1) ),
inference(ef,[status(thm)],[c_0_126]) ).
cnf(c_0_132,plain,
( epred2_0
| a1(esk8_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_123]),c_0_88]),c_0_77]) ).
cnf(c_0_133,plain,
( epred2_0
| g(X1)
| c(f(X1))
| ~ e(X1)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_63])]) ).
fof(c_0_134,plain,
( ( epred2_0
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) ) )
=> epred3_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_50]) ).
cnf(c_0_135,plain,
( epred2_0
| ~ c(X1)
| ~ b(esk8_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_63])]) ).
cnf(c_0_136,plain,
( epred2_0
| ~ g(X1)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_131]),c_0_132]) ).
cnf(c_0_137,plain,
( epred2_0
| g(X1)
| c(f(X1))
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_131]),c_0_132]) ).
fof(c_0_138,plain,
! [X40,X41,X42,X43,X44,X45,X48,X51] :
( ( p1(X48)
| p1(X45)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X45)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X45)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| p1(X45)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| p1(X45)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X45)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X45)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| p1(X45)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| p1(X45)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X45)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X45)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| p1(X45)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| p1(X45)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X45)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X45)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| p1(X45)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X40)
| p1(X40)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| p1(X45)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X45)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X45)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| p1(X45)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X41,X42)
| q(X41,X42)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| p1(X45)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X45)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X45)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| p1(X45)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 )
& ( p1(X48)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X51)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X43)
| ~ q(X43,X44)
| ~ epred2_0
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_134])])])])])]) ).
cnf(c_0_139,plain,
( epred2_0
| ~ c(X1)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_131]),c_0_132]) ).
cnf(c_0_140,plain,
( epred2_0
| c(f(X1))
| ~ e(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_141,plain,
( p1(X1)
| s1(esk11_0)
| epred3_0
| ~ p1(esk16_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_142,plain,
( p1(X1)
| p1(X2)
| s1(esk11_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_143,plain,
( epred2_0
| ~ e(X1)
| ~ p1(f(X1))
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,plain,
( p1(X1)
| r(esk11_0,esk12_0)
| epred3_0
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_145,plain,
( p1(X1)
| p1(X2)
| r(esk11_0,esk12_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_146,plain,
( p1(X1)
| p1(X2)
| epred3_0
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_147,plain,
( p1(X1)
| p1(X2)
| p1(X3)
| epred3_0
| ~ s1(X3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_148,plain,
( s1(esk11_0)
| epred3_0
| ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_149,plain,
( epred3_0
| s1(esk11_0)
| p1(X1)
| ~ epred2_0 ),
inference(csr,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_150,plain,
( p1(X1)
| p1(X2)
| q(X3,X4)
| epred3_0
| ~ r(X3,X4)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_151,plain,
epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_123]),c_0_88]),c_0_77]) ).
cnf(c_0_152,plain,
( epred3_0
| r(esk11_0,esk12_0)
| p1(X1)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_144,c_0_145]),c_0_145]) ).
cnf(c_0_153,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ epred2_0
| ~ s1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_146,c_0_147]),c_0_147]) ).
cnf(c_0_154,plain,
( epred3_0
| s1(esk11_0)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_148,c_0_149]),c_0_149]),c_0_149]) ).
cnf(c_0_155,plain,
( epred3_0
| q(X1,X2)
| p1(X3)
| p1(X4)
| ~ r(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151])]) ).
cnf(c_0_156,plain,
( epred3_0
| r(esk11_0,esk12_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_151])]) ).
cnf(c_0_157,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ s1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_151])]) ).
cnf(c_0_158,plain,
( epred3_0
| s1(esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_151])]) ).
cnf(c_0_159,plain,
( p1(X1)
| p1(X2)
| epred3_0
| ~ p1(X3)
| ~ q(X3,X4)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_160,plain,
( epred3_0
| q(esk11_0,esk12_0)
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,plain,
( epred3_0
| p1(esk11_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ q(X3,X4)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_151])]) ).
cnf(c_0_163,plain,
( epred3_0
| q(esk11_0,esk12_0)
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_160]) ).
cnf(c_0_164,plain,
( epred3_0
| p1(esk11_0) ),
inference(ef,[status(thm)],[c_0_161]) ).
cnf(c_0_165,plain,
( epred3_0
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_166,plain,
( r(esk11_0,esk12_0)
| epred3_0
| ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_167,plain,
( p1(X1)
| r(esk11_0,esk12_0)
| epred3_0
| ~ p1(esk16_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_168,plain,
( epred3_0
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(ef,[status(thm)],[c_0_165]) ).
fof(c_0_169,plain,
( epred4_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) ) ) ),
introduced(definition) ).
cnf(c_0_170,plain,
( epred3_0
| r(esk11_0,esk12_0)
| ~ epred2_0
| ~ p1(esk16_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_166,c_0_167]),c_0_167]) ).
cnf(c_0_171,plain,
( epred3_0
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_168]) ).
fof(c_0_172,plain,
( ( epred3_0
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) ) )
=> epred4_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_169]),c_0_129]) ).
cnf(c_0_173,plain,
( q(X1,X2)
| epred3_0
| ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X1,X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_174,plain,
( epred3_0
| r(esk11_0,esk12_0)
| ~ p1(esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_151])]) ).
cnf(c_0_175,plain,
( epred3_0
| p1(X1) ),
inference(ef,[status(thm)],[c_0_171]) ).
fof(c_0_176,plain,
! [X52,X55,X56,X58,X62,X63,X64,X65,X66] :
( ( s1(esk20_0)
| a(X56,esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X56,esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X56,esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(X56,esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(X56,esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(X56,esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X56),esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X56),esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X56),esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(esk19_1(X56),esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(esk19_1(X56),esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(esk19_1(X56),esk19_1(X56))
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X58,X58)
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X58,X58)
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X58,X58)
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| ~ a(X58,X58)
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| ~ a(X58,X58)
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| ~ a(X58,X58)
| p1(X52)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(X56,esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X56,esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X56,esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(X56,esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(X56,esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(X56,esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X56),esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X56),esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X56),esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(esk19_1(X56),esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(esk19_1(X56),esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(esk19_1(X56),esk19_1(X56))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X58,X58)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X58,X58)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X58,X58)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| ~ a(X58,X58)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| ~ a(X58,X58)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| ~ a(X58,X58)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(X56,esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X56,esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X56,esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(X56,esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(X56,esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(X56,esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X56),esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X56),esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X56),esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(esk19_1(X56),esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(esk19_1(X56),esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(esk19_1(X56),esk19_1(X56))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X58,X58)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X58,X58)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X58,X58)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| ~ a(X58,X58)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| ~ a(X58,X58)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| ~ a(X58,X58)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(X56,esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X56,esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X56,esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(X56,esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(X56,esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(X56,esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X56),esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X56),esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X56),esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| a(esk19_1(X56),esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| a(esk19_1(X56),esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| a(esk19_1(X56),esk19_1(X56))
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X58,X58)
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X58,X58)
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X58,X58)
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X62)
| p1(X62)
| ~ a(X58,X58)
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X63,X64)
| q(X63,X64)
| ~ a(X58,X58)
| ~ r1(X55)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X65)
| ~ q(X65,X66)
| ~ a(X58,X58)
| ~ r1(X55)
| ~ epred3_0
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])])])])]) ).
cnf(c_0_177,plain,
( epred3_0
| ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X1)
| ~ q(X1,X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_178,plain,
( epred3_0
| q(X1,X2)
| ~ r(X1,X2)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_151])]) ).
cnf(c_0_179,plain,
( epred3_0
| r(esk11_0,esk12_0) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_180,plain,
( p1(X1)
| a(esk19_1(X2),esk19_1(X2))
| p1(X3)
| epred4_0
| ~ s1(X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_181,plain,
( p1(X1)
| p1(X3)
| epred4_0
| ~ s1(X1)
| ~ a(X2,X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_182,plain,
( epred3_0
| ~ q(X1,X2)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(esk16_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_151])]) ).
cnf(c_0_183,plain,
( epred3_0
| q(esk11_0,esk12_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_175]),c_0_175]),c_0_175]) ).
cnf(c_0_184,plain,
( s1(esk21_0)
| a(esk19_1(X1),esk19_1(X1))
| p1(X2)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_185,plain,
( s1(esk21_0)
| p1(X2)
| epred4_0
| ~ a(X1,X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_186,plain,
( epred4_0
| p1(X1)
| p1(X2)
| ~ epred3_0
| ~ s1(X1) ),
inference(csr,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_187,plain,
epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_175]),c_0_175]),c_0_175]),c_0_175]) ).
cnf(c_0_188,plain,
( epred4_0
| s1(esk21_0)
| p1(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_189,plain,
( q(X1,X2)
| a(esk19_1(X3),esk19_1(X3))
| p1(X4)
| epred4_0
| ~ r(X1,X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_190,plain,
( q(X1,X2)
| p1(X4)
| epred4_0
| ~ r(X1,X2)
| ~ a(X3,X3)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_191,plain,
( r(esk21_0,esk22_0)
| a(esk19_1(X1),esk19_1(X1))
| p1(X2)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_192,plain,
( r(esk21_0,esk22_0)
| p1(X2)
| epred4_0
| ~ a(X1,X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_193,plain,
( epred4_0
| p1(X1)
| p1(X2)
| ~ s1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).
cnf(c_0_194,plain,
( epred4_0
| s1(esk21_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_187])]) ).
fof(c_0_195,plain,
( epred5_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) ) ) ),
introduced(definition) ).
cnf(c_0_196,plain,
( a(esk19_1(X3),esk19_1(X3))
| p1(X4)
| epred4_0
| ~ p1(X1)
| ~ q(X1,X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_197,plain,
( p1(X4)
| epred4_0
| ~ p1(X1)
| ~ q(X1,X2)
| ~ a(X3,X3)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_198,plain,
( epred4_0
| q(X1,X2)
| p1(X3)
| ~ epred3_0
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_199,plain,
( epred4_0
| r(esk21_0,esk22_0)
| p1(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_200,plain,
( epred4_0
| p1(esk21_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
fof(c_0_201,plain,
( ( epred4_0
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) ) )
=> epred5_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_195]),c_0_169]) ).
cnf(c_0_202,plain,
( epred4_0
| p1(X1)
| ~ epred3_0
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_203,plain,
( epred4_0
| q(X1,X2)
| p1(X3)
| ~ r(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_187])]) ).
cnf(c_0_204,plain,
( epred4_0
| r(esk21_0,esk22_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_187])]) ).
cnf(c_0_205,plain,
( epred4_0
| p1(esk21_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_200]) ).
fof(c_0_206,plain,
! [X69,X70,X72,X73,X74] :
( ( p1(X73)
| p1(esk25_0)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| p1(esk25_0)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| a0
| ~ p1(X72)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| a0
| ~ p1(X72)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| ~ b0
| ~ p1(X72)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| ~ b0
| ~ p1(X72)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| b0
| ~ p1(X72)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| b0
| ~ p1(X72)
| ~ q1(X69)
| p1(X69)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| p1(esk25_0)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| p1(esk25_0)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| a0
| ~ p1(X72)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| a0
| ~ p1(X72)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| ~ b0
| ~ p1(X72)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| ~ b0
| ~ p1(X72)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| b0
| ~ p1(X72)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| b0
| ~ p1(X72)
| q1(X70)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| p1(esk25_0)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| p1(esk25_0)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| a0
| ~ p1(X72)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| a0
| ~ p1(X72)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| ~ b0
| ~ p1(X72)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| ~ b0
| ~ p1(X72)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| b0
| ~ p1(X72)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| b0
| ~ p1(X72)
| ~ p1(esk24_0)
| p1(X70)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| p1(esk25_0)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| p1(esk25_0)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| a0
| ~ p1(X72)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| a0
| ~ p1(X72)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| ~ b0
| ~ p1(X72)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| ~ b0
| ~ p1(X72)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| b0
| ~ p1(X72)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| b0
| ~ p1(X72)
| q1(X70)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| p1(esk25_0)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| p1(esk25_0)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| a0
| ~ p1(X72)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| a0
| ~ p1(X72)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| ~ b0
| ~ p1(X72)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| ~ b0
| ~ p1(X72)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X73)
| b0
| ~ p1(X72)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X74)
| b0
| ~ p1(X72)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_201])])])])]) ).
cnf(c_0_207,plain,
( epred4_0
| p1(X1)
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_187])]) ).
cnf(c_0_208,plain,
( epred4_0
| q(esk21_0,esk22_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_209,plain,
( epred4_0
| p1(esk21_0) ),
inference(ef,[status(thm)],[c_0_205]) ).
cnf(c_0_210,plain,
( b0
| p1(X3)
| epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_211,plain,
( p1(X3)
| epred5_0
| ~ p1(X1)
| ~ b0
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_212,plain,
( r(esk21_0,esk22_0)
| a(esk19_1(X1),esk19_1(X1))
| epred4_0
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_213,plain,
( r(esk21_0,esk22_0)
| epred4_0
| ~ a(X1,X1)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_214,plain,
( epred4_0
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).
cnf(c_0_215,plain,
( q1(X3)
| p1(X3)
| epred5_0
| ~ p1(X1)
| ~ b0
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_216,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2)
| ~ p1(X3)
| ~ q1(X1) ),
inference(csr,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_217,plain,
( q(X1,X2)
| a(esk19_1(X3),esk19_1(X3))
| epred4_0
| ~ r(X1,X2)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_218,plain,
( q(X1,X2)
| epred4_0
| ~ r(X1,X2)
| ~ a(X3,X3)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_219,plain,
( epred4_0
| r(esk21_0,esk22_0)
| ~ epred3_0
| ~ p1(esk18_0) ),
inference(csr,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_220,plain,
( epred4_0
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_214]) ).
cnf(c_0_221,plain,
( b0
| q1(X3)
| p1(X3)
| epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_222,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ b0
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_223,plain,
( p1(X1)
| p1(X3)
| epred5_0
| ~ b0
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_224,plain,
( b0
| epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_225,plain,
( epred5_0
| ~ p1(X1)
| ~ b0
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_226,plain,
( a(esk19_1(X3),esk19_1(X3))
| epred4_0
| ~ p1(X1)
| ~ q(X1,X2)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_227,plain,
( epred4_0
| ~ p1(X1)
| ~ q(X1,X2)
| ~ a(X3,X3)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_228,plain,
( epred4_0
| q(X1,X2)
| ~ epred3_0
| ~ r(X1,X2)
| ~ p1(esk18_0) ),
inference(csr,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_229,plain,
( epred4_0
| r(esk21_0,esk22_0)
| ~ p1(esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_187])]) ).
cnf(c_0_230,plain,
( epred4_0
| p1(X1) ),
inference(ef,[status(thm)],[c_0_220]) ).
cnf(c_0_231,plain,
( p1(X1)
| b0
| p1(X3)
| epred5_0
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_232,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_221,c_0_216]),c_0_222]) ).
cnf(c_0_233,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ b0
| ~ p1(X2)
| ~ q1(X1) ),
inference(csr,[status(thm)],[c_0_223,c_0_222]) ).
fof(c_0_234,plain,
( epred6_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) ) ) ),
introduced(definition) ).
cnf(c_0_235,plain,
( p1(X1)
| epred5_0
| ~ b0
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_236,plain,
( epred5_0
| ~ epred4_0
| ~ p1(esk23_0)
| ~ p1(esk24_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_237,plain,
( epred4_0
| ~ epred3_0
| ~ q(X1,X2)
| ~ p1(esk18_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_238,plain,
( epred4_0
| q(X1,X2)
| ~ r(X1,X2)
| ~ p1(esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_187])]) ).
cnf(c_0_239,plain,
( epred4_0
| r(esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_240,plain,
( p1(X1)
| q1(X3)
| p1(X3)
| epred5_0
| ~ b0
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_241,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2)
| ~ q1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_231,c_0_232]),c_0_233]) ).
fof(c_0_242,plain,
( ( epred5_0
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) ) )
=> epred6_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_234]),c_0_195]) ).
cnf(c_0_243,plain,
( p1(X1)
| b0
| epred5_0
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_244,plain,
( epred5_0
| ~ epred4_0
| ~ b0
| ~ p1(esk23_0)
| ~ p1(esk24_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_245,plain,
( epred4_0
| ~ q(X1,X2)
| ~ p1(esk18_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_187])]) ).
cnf(c_0_246,plain,
( epred4_0
| q(esk21_0,esk22_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_230]) ).
cnf(c_0_247,plain,
( p1(X1)
| b0
| q1(X3)
| p1(X3)
| epred5_0
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_248,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ b0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_240,c_0_241]),c_0_232]) ).
fof(c_0_249,plain,
! [X75,X76,X80,X81,X82,X84] :
( ( ~ a1(X82)
| b(X82)
| ~ q1(X80)
| p1(X80)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ q1(X80)
| p1(X80)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ q1(X80)
| p1(X80)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| q1(X81)
| p1(X81)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X81)
| p1(X81)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| q1(X81)
| p1(X81)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ p1(esk28_0)
| p1(X81)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| p1(X81)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ p1(esk28_0)
| p1(X81)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| q1(X81)
| ~ p1(esk27_0)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X81)
| ~ p1(esk27_0)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| q1(X81)
| ~ p1(esk27_0)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X75)
| q1(X75)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ q1(X80)
| p1(X80)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ q1(X80)
| p1(X80)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ q1(X80)
| p1(X80)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| q1(X81)
| p1(X81)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X81)
| p1(X81)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| q1(X81)
| p1(X81)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ p1(esk28_0)
| p1(X81)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| p1(X81)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ p1(esk28_0)
| p1(X81)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| q1(X81)
| ~ p1(esk27_0)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X81)
| ~ p1(esk27_0)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| q1(X81)
| ~ p1(esk27_0)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| p1(X76)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ q1(X80)
| p1(X80)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ q1(X80)
| p1(X80)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ q1(X80)
| p1(X80)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| q1(X81)
| p1(X81)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X81)
| p1(X81)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| q1(X81)
| p1(X81)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ p1(esk28_0)
| p1(X81)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| p1(X81)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ p1(esk28_0)
| p1(X81)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| q1(X81)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X81)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| q1(X81)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X82)
| b(X82)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X84)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_242])])])])]) ).
cnf(c_0_250,plain,
( epred5_0
| ~ epred4_0
| ~ p1(esk23_0)
| ~ p1(esk24_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_243,c_0_236]),c_0_244]) ).
cnf(c_0_251,plain,
epred4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_230]),c_0_230]) ).
cnf(c_0_252,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_247,c_0_241]),c_0_232]),c_0_248]) ).
cnf(c_0_253,plain,
( q1(X2)
| p1(X2)
| p1(X3)
| epred6_0
| ~ b(X1)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_254,plain,
( p1(X2)
| p1(X3)
| epred6_0
| ~ b(X1)
| ~ q1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_255,plain,
( p1(esk25_0)
| q1(X2)
| p1(X2)
| epred5_0
| ~ p1(X1)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_256,plain,
( p1(X1)
| p1(esk25_0)
| q1(X2)
| p1(X2)
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_257,plain,
( epred5_0
| ~ p1(esk23_0)
| ~ p1(esk24_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251])]) ).
cnf(c_0_258,plain,
( epred5_0
| p1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_251])]) ).
cnf(c_0_259,plain,
( b(X1)
| q1(X2)
| p1(X2)
| p1(X3)
| epred6_0
| ~ a1(X1)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_260,plain,
( epred6_0
| p1(X1)
| p1(X2)
| ~ epred5_0
| ~ b(X3) ),
inference(csr,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_261,plain,
( p1(X1)
| p1(esk25_0)
| p1(X2)
| epred5_0
| ~ q1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_262,plain,
( epred5_0
| p1(esk25_0)
| p1(X1)
| q1(X1)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_263,plain,
( epred5_0
| ~ p1(esk24_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_258]),c_0_258]) ).
cnf(c_0_264,plain,
( b(X1)
| p1(X2)
| epred6_0
| ~ a1(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_265,plain,
( p1(X2)
| epred6_0
| ~ b(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_266,plain,
( q1(X2)
| epred6_0
| ~ b(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_267,plain,
( a1(esk29_0)
| p1(X1)
| p1(X2)
| epred6_0
| ~ q1(X1)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_268,plain,
( a1(esk29_0)
| q1(X1)
| p1(X1)
| p1(X2)
| epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_269,plain,
( b(X1)
| p1(X2)
| p1(X3)
| epred6_0
| ~ a1(X1)
| ~ q1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_270,plain,
( epred6_0
| p1(X1)
| p1(X2)
| q1(X1)
| ~ epred5_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_271,plain,
( epred5_0
| p1(esk25_0)
| p1(X1)
| p1(X2)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_272,plain,
( epred5_0
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_263,c_0_258]) ).
cnf(c_0_273,plain,
( q1(X2)
| p1(X2)
| epred6_0
| ~ b(X1)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_274,plain,
( p1(X2)
| epred6_0
| ~ b(X1)
| ~ q1(X2)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_275,plain,
( a1(esk29_0)
| p1(X1)
| epred6_0
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_276,plain,
( a1(esk29_0)
| p1(X1)
| p1(X2)
| epred6_0
| ~ p1(esk28_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_277,plain,
( b(X1)
| q1(X2)
| epred6_0
| ~ a1(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_278,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ a1(X2)
| ~ p1(esk27_0)
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_279,plain,
( epred6_0
| q1(X1)
| ~ epred5_0
| ~ b(X2)
| ~ p1(esk27_0)
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[c_0_266,c_0_265]) ).
cnf(c_0_280,plain,
( a1(esk29_0)
| q1(X1)
| p1(X1)
| q1(X2)
| epred6_0
| ~ p1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_281,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| p1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_282,plain,
( epred6_0
| p1(X1)
| p1(X2)
| ~ epred5_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_269,c_0_270]),c_0_260]) ).
cnf(c_0_283,plain,
epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_251])]),c_0_272]),c_0_272]),c_0_272]) ).
cnf(c_0_284,plain,
( b(X1)
| p1(X2)
| epred6_0
| ~ a1(X1)
| ~ q1(X2)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_285,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ b(X2)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_286,plain,
( a1(esk29_0)
| q1(X1)
| epred6_0
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X1)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_287,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| ~ epred5_0
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_288,plain,
( a1(esk29_0)
| q1(X1)
| p1(X2)
| epred6_0
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_289,plain,
( b(X1)
| epred6_0
| ~ a1(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_290,plain,
( epred6_0
| ~ b(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_291,plain,
( epred6_0
| q1(X1)
| ~ epred5_0
| ~ a1(X2)
| ~ p1(esk27_0)
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_277,c_0_278]),c_0_279]) ).
cnf(c_0_292,plain,
( a1(esk29_0)
| p1(X1)
| q1(X2)
| epred6_0
| ~ q1(X1)
| ~ p1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_293,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| q1(X1)
| q1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_294,plain,
( epred6_0
| p1(X1)
| p1(X2)
| ~ a1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283])]) ).
cnf(c_0_295,plain,
( b(X1)
| q1(X2)
| p1(X2)
| epred6_0
| ~ a1(X1)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_296,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ a1(X2)
| ~ q1(esk26_0)
| ~ q1(X1) ),
inference(csr,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_297,plain,
( epred6_0
| a1(esk29_0)
| q1(X1)
| ~ epred5_0
| ~ p1(esk27_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).
cnf(c_0_298,plain,
( epred6_0
| ~ epred5_0
| ~ a1(X1)
| ~ p1(esk27_0)
| ~ p1(esk28_0)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_299,plain,
( epred6_0
| q1(X1)
| ~ a1(X2)
| ~ p1(esk27_0)
| ~ p1(esk28_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_283])]) ).
cnf(c_0_300,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| q1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_292,c_0_293]),c_0_281]) ).
cnf(c_0_301,plain,
( epred6_0
| p1(X1)
| ~ a1(X2) ),
inference(ef,[status(thm)],[c_0_294]) ).
cnf(c_0_302,plain,
( a1(esk29_0)
| p1(X1)
| epred6_0
| ~ q1(X1)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_303,plain,
( a1(esk29_0)
| q1(X1)
| p1(X1)
| epred6_0
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_304,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ a1(X2)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_295,c_0_296]),c_0_285]) ).
cnf(c_0_305,plain,
( a1(esk29_0)
| epred6_0
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_306,plain,
( epred6_0
| a1(esk29_0)
| q1(X1)
| ~ p1(esk27_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_283])]) ).
cnf(c_0_307,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| ~ p1(esk28_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_283])]) ).
cnf(c_0_308,plain,
( epred6_0
| ~ a1(X1)
| ~ p1(esk27_0)
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_283])]),c_0_299]) ).
cnf(c_0_309,plain,
( epred6_0
| p1(X1)
| q1(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_283])]),c_0_301]) ).
fof(c_0_310,plain,
( epred7_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) ) ) ),
introduced(definition) ).
cnf(c_0_311,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| ~ epred5_0
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_312,plain,
( epred6_0
| p1(X1)
| ~ a1(X2)
| ~ q1(esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_283])]) ).
cnf(c_0_313,plain,
( epred6_0
| a1(esk29_0)
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_283])]),c_0_306]),c_0_307]) ).
cnf(c_0_314,plain,
( epred6_0
| q1(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_309]) ).
fof(c_0_315,plain,
( ( epred6_0
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) ) )
=> epred7_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_310]),c_0_234]) ).
cnf(c_0_316,plain,
( epred6_0
| p1(X1)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_283])]),c_0_312]) ).
cnf(c_0_317,plain,
( epred6_0
| q1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_309]),c_0_314]) ).
fof(c_0_318,plain,
! [X86,X87,X89,X91,X92,X94] :
( ( b(esk33_0)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| a1(X86)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| a1(esk32_0)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| b(X91)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| ~ a1(X92)
| ~ b(X92)
| ~ a(X89,esk31_0)
| ~ a(X89,X89)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| a1(esk32_0)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| b(X91)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X94)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X94)
| ~ a1(X92)
| ~ b(X92)
| a(X89,X89)
| a(X89,esk31_0)
| ~ b(X87)
| ~ epred6_0
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_315])])])])]) ).
cnf(c_0_319,plain,
( epred6_0
| p1(X1) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_320,plain,
( b(X2)
| a1(X4)
| epred7_0
| ~ b(X1)
| ~ a(X3,esk31_0)
| ~ a(X3,X3)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_321,plain,
( b(X2)
| epred7_0
| ~ a1(X1)
| ~ a(X3,esk31_0)
| ~ a(X3,X3)
| ~ b(X4)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_322,plain,
( epred6_0
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_319]),c_0_319]) ).
cnf(c_0_323,plain,
( epred7_0
| b(X1)
| ~ epred6_0
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ b(X3) ),
inference(csr,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_324,plain,
epred6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_319]),c_0_322]) ).
cnf(c_0_325,plain,
( b(esk33_0)
| a1(esk32_0)
| epred7_0
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ b(X2)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_326,plain,
( a1(esk32_0)
| epred7_0
| ~ b(X1)
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ b(X3)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_327,plain,
( epred7_0
| ~ b(X1)
| ~ a1(X2)
| ~ b(X2)
| ~ a(X3,esk31_0)
| ~ a(X3,X3)
| ~ b(X4)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_328,plain,
( epred7_0
| b(X1)
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ b(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_324])]) ).
cnf(c_0_329,plain,
( a1(esk32_0)
| a(X2,X2)
| a(X2,esk31_0)
| epred7_0
| ~ a1(X1)
| ~ b(X3)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_330,plain,
( a1(esk32_0)
| a(X2,X2)
| a(X2,esk31_0)
| a1(X3)
| epred7_0
| ~ b(X1)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_331,plain,
( b(esk33_0)
| b(X1)
| a1(X3)
| epred7_0
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_332,plain,
( epred7_0
| a1(esk32_0)
| ~ epred6_0
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_333,plain,
( epred7_0
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ b(X2)
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_324])]),c_0_328]),c_0_328]) ).
cnf(c_0_334,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| a1(esk32_0)
| ~ epred6_0
| ~ b(X2) ),
inference(csr,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_335,plain,
( b(esk33_0)
| b(X1)
| a(X2,X2)
| a(X2,esk31_0)
| b(esk30_0)
| epred7_0
| ~ a1(esk30_0)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_336,plain,
( b(esk33_0)
| b(X1)
| a(X2,X2)
| a(X2,esk31_0)
| a1(X3)
| epred7_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_337,plain,
( b(esk33_0)
| b(X1)
| a(X2,X2)
| a(X2,esk31_0)
| epred7_0
| ~ b(X3)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_338,plain,
( a(X3,X3)
| a(X3,esk31_0)
| a1(X4)
| epred7_0
| ~ b(X1)
| ~ a1(X2)
| ~ b(X2)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_339,plain,
( b(X2)
| a(X3,X3)
| a(X3,esk31_0)
| a1(X4)
| epred7_0
| ~ a1(X1)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_340,plain,
( b(X2)
| b(esk30_0)
| epred7_0
| ~ a1(X1)
| ~ a(X3,esk31_0)
| ~ a(X3,X3)
| ~ a1(esk30_0)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_341,plain,
( b(X2)
| a1(X4)
| epred7_0
| ~ a1(X1)
| ~ a(X3,esk31_0)
| ~ a(X3,X3)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_342,plain,
( epred7_0
| b(esk33_0)
| a1(X1)
| ~ epred6_0
| ~ a(X2,esk31_0)
| ~ a(X2,X2) ),
inference(csr,[status(thm)],[c_0_331,c_0_323]) ).
cnf(c_0_343,plain,
( epred7_0
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_324])]),c_0_333]) ).
cnf(c_0_344,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| a1(esk32_0)
| ~ b(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_324])]) ).
cnf(c_0_345,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| b(esk33_0)
| b(esk30_0)
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_335,c_0_336]),c_0_337]) ).
cnf(c_0_346,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| a1(X2)
| ~ epred6_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_338,c_0_339]),c_0_339]) ).
cnf(c_0_347,plain,
( epred7_0
| b(esk30_0)
| ~ epred6_0
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ a1(esk30_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_340,c_0_341]),c_0_323]) ).
cnf(c_0_348,plain,
( epred7_0
| a1(X1)
| ~ a(X2,esk31_0)
| ~ a(X2,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_324])]),c_0_343]) ).
cnf(c_0_349,plain,
( epred7_0
| a(esk31_0,esk31_0)
| a1(esk32_0)
| ~ b(X1) ),
inference(ef,[status(thm)],[c_0_344]) ).
cnf(c_0_350,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| b(esk30_0)
| b(esk33_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_324])]) ).
cnf(c_0_351,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| a1(X2)
| ~ a1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_346,c_0_324])]) ).
cnf(c_0_352,plain,
( epred7_0
| b(esk30_0)
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ a1(esk30_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_324])]) ).
cnf(c_0_353,plain,
( epred7_0
| a1(esk32_0)
| a1(X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_349]) ).
cnf(c_0_354,plain,
( epred7_0
| a1(esk32_0)
| ~ b(X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_349]),c_0_349]) ).
cnf(c_0_355,plain,
( epred7_0
| a(esk31_0,esk31_0)
| b(esk33_0)
| b(esk30_0) ),
inference(ef,[status(thm)],[c_0_350]) ).
cnf(c_0_356,plain,
( a(X3,X3)
| a(X3,esk31_0)
| epred7_0
| ~ b(X1)
| ~ a1(X2)
| ~ b(X2)
| ~ b(X4)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_357,plain,
( epred7_0
| a(esk31_0,esk31_0)
| a1(X1)
| ~ a1(X2) ),
inference(ef,[status(thm)],[c_0_351]) ).
cnf(c_0_358,plain,
( epred7_0
| a1(esk32_0)
| ~ b(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_349]),c_0_353]),c_0_349]),c_0_354]) ).
cnf(c_0_359,plain,
( epred7_0
| b(esk30_0)
| b(esk33_0)
| a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_355]),c_0_355]) ).
cnf(c_0_360,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| ~ b(X2)
| ~ b(X3)
| ~ b(X4)
| ~ a1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_324])]) ).
cnf(c_0_361,plain,
( epred7_0
| a1(X1)
| a1(X2)
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_357]),c_0_357]) ).
cnf(c_0_362,plain,
( epred7_0
| a1(esk32_0)
| a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_358]) ).
cnf(c_0_363,plain,
( epred7_0
| a(esk31_0,esk31_0)
| ~ b(X1)
| ~ b(X2)
| ~ b(X3)
| ~ a1(X2) ),
inference(ef,[status(thm)],[c_0_360]) ).
cnf(c_0_364,plain,
( epred7_0
| a1(X1)
| ~ a1(X2) ),
inference(ef,[status(thm)],[c_0_361]) ).
cnf(c_0_365,plain,
( epred7_0
| a1(esk32_0) ),
inference(ef,[status(thm)],[c_0_362]) ).
cnf(c_0_366,plain,
( epred7_0
| a1(X1)
| ~ b(X2)
| ~ b(X3)
| ~ b(X4)
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_363]),c_0_363]) ).
cnf(c_0_367,plain,
( epred7_0
| ~ b(X1)
| ~ b(X2)
| ~ b(X3)
| ~ b(X4)
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_363]),c_0_363]) ).
cnf(c_0_368,plain,
( epred7_0
| b(esk33_0)
| b(esk30_0)
| ~ a1(esk30_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_355]),c_0_355]) ).
cnf(c_0_369,plain,
( epred7_0
| a1(X1) ),
inference(spm,[status(thm)],[c_0_364,c_0_365]) ).
cnf(c_0_370,plain,
( epred7_0
| ~ b(X1)
| ~ b(X2)
| ~ b(X3)
| ~ a1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_363]),c_0_366]),c_0_363]),c_0_367]) ).
cnf(c_0_371,plain,
( epred7_0
| b(esk30_0)
| b(esk33_0) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_372,plain,
( epred7_0
| b(esk33_0)
| ~ b(X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_369]) ).
cnf(c_0_373,plain,
( epred7_0
| b(esk33_0)
| ~ b(X1) ),
inference(spm,[status(thm)],[c_0_372,c_0_371]) ).
fof(c_0_374,plain,
( epred8_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) )
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) ) ) ),
introduced(definition) ).
cnf(c_0_375,plain,
( epred7_0
| b(esk33_0) ),
inference(spm,[status(thm)],[c_0_373,c_0_371]) ).
fof(c_0_376,plain,
( ( epred7_0
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) ) )
=> epred8_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_374]),c_0_310]) ).
cnf(c_0_377,plain,
( epred7_0
| ~ b(X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_375]),c_0_369]) ).
fof(c_0_378,plain,
! [X95,X96,X97,X98,X105,X106,X109,X110,X114] :
( ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X95,X96)
| ~ a(X98,X97)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X105)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| p1(X106)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| ~ p1(X109)
| ~ p1(X110)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X114)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_376])])])])]) ).
cnf(c_0_379,plain,
( epred7_0
| ~ b(X1) ),
inference(spm,[status(thm)],[c_0_377,c_0_375]) ).
cnf(c_0_380,plain,
( p1(esk42_0)
| p1(esk43_0)
| p1(X2)
| p1(X3)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ p1(X1)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_381,plain,
epred7_0,
inference(spm,[status(thm)],[c_0_379,c_0_375]) ).
cnf(c_0_382,plain,
( p1(esk42_0)
| p1(esk43_0)
| p1(X2)
| p1(X3)
| epred8_0
| ~ p1(X1)
| ~ a(X4,X5)
| ~ a(X6,X7)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_383,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_381])]) ).
cnf(c_0_384,plain,
( p1(esk44_0)
| p1(X3)
| p1(X4)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ a(X5,X6)
| ~ a(X7,X8)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_385,plain,
( p1(X4)
| p1(X5)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ a(X6,X7)
| ~ a(X8,X9)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_386,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2)
| ~ a(X3,X4)
| ~ a(X5,X6)
| ~ p1(X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_381])]) ).
cnf(c_0_387,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| ~ p1(X2) ),
inference(ef,[status(thm)],[c_0_383]) ).
cnf(c_0_388,plain,
( p1(esk44_0)
| p1(X3)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ a(X4,X5)
| ~ a(X6,X7)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_389,plain,
( p1(X4)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ a(X5,X6)
| ~ a(X7,X8)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_390,plain,
( epred8_0
| p1(esk44_0)
| p1(X1)
| ~ epred7_0
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(csr,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_391,plain,
( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2)
| epred8_0
| ~ a(X3,X4)
| ~ a(X5,X6)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_392,plain,
( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_393,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_386]) ).
cnf(c_0_394,plain,
( epred8_0
| p1(esk44_0)
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_395,plain,
( epred8_0
| p1(esk44_0)
| p1(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_381])]) ).
cnf(c_0_396,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(esk44_0)
| p1(X1)
| ~ a(X2,X3)
| ~ a(X4,X5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_391,c_0_381])]),c_0_386]) ).
cnf(c_0_397,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(esk44_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_381])]),c_0_387]),c_0_387]) ).
cnf(c_0_398,plain,
( p1(X4)
| p1(X5)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_399,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_387]),c_0_393]) ).
cnf(c_0_400,plain,
( epred8_0
| p1(esk44_0)
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk40_0)
| ~ p1(esk41_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_381])]),c_0_395]),c_0_395]) ).
cnf(c_0_401,plain,
( epred8_0
| p1(esk44_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| ~ a(X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_396]) ).
cnf(c_0_402,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(X1)
| p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_381])]) ).
cnf(c_0_403,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(ef,[status(thm)],[c_0_399]) ).
cnf(c_0_404,plain,
( epred8_0
| a(esk34_0,esk35_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(esk44_0)
| ~ a(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_397]),c_0_401]),c_0_401]) ).
cnf(c_0_405,plain,
( epred8_0
| p1(X1)
| p1(X2)
| ~ a(X3,X4)
| ~ a(X5,X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_385,c_0_381])]) ).
cnf(c_0_406,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(ef,[status(thm)],[c_0_402]) ).
cnf(c_0_407,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(ef,[status(thm)],[c_0_403]) ).
cnf(c_0_408,plain,
( epred8_0
| a(esk34_0,esk35_0)
| p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0) ),
inference(spm,[status(thm)],[c_0_404,c_0_397]) ).
cnf(c_0_409,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9)
| ~ p1(X10)
| ~ p1(X11) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_405]) ).
cnf(c_0_410,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(ef,[status(thm)],[c_0_407]) ).
cnf(c_0_411,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(esk44_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_401,c_0_408]) ).
cnf(c_0_412,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9)
| ~ p1(X10)
| ~ p1(X11)
| ~ p1(X12)
| ~ p1(X13) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_406]),c_0_409]) ).
cnf(c_0_413,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(ef,[status(thm)],[c_0_410]) ).
cnf(c_0_414,plain,
( epred8_0
| p1(esk44_0)
| p1(esk43_0)
| p1(esk42_0) ),
inference(ef,[status(thm)],[c_0_411]) ).
cnf(c_0_415,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9)
| ~ p1(X10)
| ~ p1(X11)
| ~ p1(X12) ),
inference(ef,[status(thm)],[c_0_412]) ).
cnf(c_0_416,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_417,plain,
( epred8_0
| p1(X1)
| p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9)
| ~ p1(X10)
| ~ p1(X11) ),
inference(ef,[status(thm)],[c_0_415]) ).
cnf(c_0_418,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_416,c_0_414]) ).
cnf(c_0_419,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9)
| ~ p1(X10) ),
inference(ef,[status(thm)],[c_0_417]) ).
cnf(c_0_420,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0) ),
inference(spm,[status(thm)],[c_0_418,c_0_414]) ).
cnf(c_0_421,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_419]) ).
cnf(c_0_422,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(spm,[status(thm)],[c_0_421,c_0_420]) ).
cnf(c_0_423,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(spm,[status(thm)],[c_0_422,c_0_420]) ).
cnf(c_0_424,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(spm,[status(thm)],[c_0_423,c_0_420]) ).
cnf(c_0_425,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_424,c_0_420]) ).
cnf(c_0_426,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_425,c_0_420]) ).
cnf(c_0_427,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_426,c_0_420]) ).
cnf(c_0_428,plain,
( epred8_0
| p1(esk42_0)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_427,c_0_420]) ).
cnf(c_0_429,plain,
( epred8_0
| p1(esk42_0) ),
inference(spm,[status(thm)],[c_0_428,c_0_420]) ).
cnf(c_0_430,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9) ),
inference(spm,[status(thm)],[c_0_419,c_0_429]) ).
cnf(c_0_431,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(spm,[status(thm)],[c_0_430,c_0_429]) ).
cnf(c_0_432,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(spm,[status(thm)],[c_0_431,c_0_429]) ).
cnf(c_0_433,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(spm,[status(thm)],[c_0_432,c_0_429]) ).
cnf(c_0_434,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(spm,[status(thm)],[c_0_433,c_0_429]) ).
cnf(c_0_435,plain,
( p1(esk44_0)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X3,X4)
| ~ a(X5,X6)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_436,plain,
( epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X4,X5)
| ~ a(X6,X7)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_437,plain,
( p1(esk44_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_438,plain,
( a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_439,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_434,c_0_429]) ).
cnf(c_0_440,plain,
( p1(esk42_0)
| p1(esk43_0)
| epred8_0
| ~ p1(X1)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_441,plain,
( epred8_0
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_442,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| ~ epred7_0
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_443,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_439,c_0_429]) ).
cnf(c_0_444,plain,
( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| epred8_0
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_445,plain,
( epred8_0
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_440,c_0_441]),c_0_441]) ).
cnf(c_0_446,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_381])]) ).
cnf(c_0_447,plain,
( epred8_0
| p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_443,c_0_429]) ).
cnf(c_0_448,plain,
( epred8_0
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_444,c_0_389]),c_0_389]),c_0_445]) ).
cnf(c_0_449,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_419]),c_0_419]),c_0_419]),c_0_419]),c_0_419]),c_0_419]),c_0_406]),c_0_406]),c_0_406]),c_0_406]),c_0_406]),c_0_406]) ).
cnf(c_0_450,plain,
( epred8_0
| p1(X1) ),
inference(spm,[status(thm)],[c_0_447,c_0_429]) ).
cnf(c_0_451,plain,
( epred8_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_381])]) ).
cnf(c_0_452,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_450]),c_0_450]),c_0_450]) ).
fof(c_0_453,plain,
( epred9_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) )
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) )
& ? [X3] :
! [X4] :
? [X5] :
( ( p(X5,X4)
=> ? [X10] : p(X10,X5) )
& ( ( p(X3,X5)
& p(X5,X3) )
=> p(X5,X4) ) )
& ( ! [X4,X5] :
( eq(X4,X5)
<=> ! [X3] :
( a_member_of(X3,X4)
<=> a_member_of(X3,X5) ) )
=> ! [X6,X2] :
( eq(X6,X2)
=> eq(X2,X6) ) ) ) ),
introduced(definition) ).
cnf(c_0_454,plain,
( epred8_0
| a(esk34_0,esk35_0)
| ~ a(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_450]),c_0_450]),c_0_450]),c_0_450]) ).
fof(c_0_455,plain,
( ( epred8_0
& ? [X3] :
! [X4] :
? [X5] :
( ( p(X5,X4)
=> ? [X10] : p(X10,X5) )
& ( ( p(X3,X5)
& p(X5,X3) )
=> p(X5,X4) ) )
& ( ! [X4,X5] :
( eq(X4,X5)
<=> ! [X3] :
( a_member_of(X3,X4)
<=> a_member_of(X3,X5) ) )
=> ! [X6,X2] :
( eq(X6,X2)
=> eq(X2,X6) ) ) )
=> epred9_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_453]),c_0_374]) ).
cnf(c_0_456,plain,
( epred8_0
| a(esk34_0,esk35_0) ),
inference(spm,[status(thm)],[c_0_454,c_0_452]) ).
fof(c_0_457,plain,
! [X115,X117,X118,X119,X120,X121,X122,X123,X124] :
( ( ~ a_member_of(X121,X119)
| a_member_of(X121,X120)
| ~ eq(X119,X120)
| p(X115,X117)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X122,X120)
| a_member_of(X122,X119)
| ~ eq(X119,X120)
| p(X115,X117)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X123,X124),X123)
| ~ a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X115,X117)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X123,X124),X123)
| a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X115,X117)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X115,X117)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X115,X117)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X121,X119)
| a_member_of(X121,X120)
| ~ eq(X119,X120)
| p(X117,X115)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X122,X120)
| a_member_of(X122,X119)
| ~ eq(X119,X120)
| p(X117,X115)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X123,X124),X123)
| ~ a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X117,X115)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X123,X124),X123)
| a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X117,X115)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X117,X115)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X117,X115)
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X121,X119)
| a_member_of(X121,X120)
| ~ eq(X119,X120)
| ~ p(X117,esk45_1(X115))
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X122,X120)
| a_member_of(X122,X119)
| ~ eq(X119,X120)
| ~ p(X117,esk45_1(X115))
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X123,X124),X123)
| ~ a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| ~ p(X117,esk45_1(X115))
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X123,X124),X123)
| a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| ~ p(X117,esk45_1(X115))
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| ~ p(X117,esk45_1(X115))
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| ~ p(X117,esk45_1(X115))
| p(X117,esk45_1(X115))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X121,X119)
| a_member_of(X121,X120)
| ~ eq(X119,X120)
| p(X115,X117)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X122,X120)
| a_member_of(X122,X119)
| ~ eq(X119,X120)
| p(X115,X117)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X123,X124),X123)
| ~ a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X115,X117)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X123,X124),X123)
| a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X115,X117)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X115,X117)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X115,X117)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X121,X119)
| a_member_of(X121,X120)
| ~ eq(X119,X120)
| p(X117,X115)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X122,X120)
| a_member_of(X122,X119)
| ~ eq(X119,X120)
| p(X117,X115)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X123,X124),X123)
| ~ a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X117,X115)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X123,X124),X123)
| a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| p(X117,X115)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X117,X115)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X117,X115)
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X121,X119)
| a_member_of(X121,X120)
| ~ eq(X119,X120)
| ~ p(X117,esk45_1(X115))
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X122,X120)
| a_member_of(X122,X119)
| ~ eq(X119,X120)
| ~ p(X117,esk45_1(X115))
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X123,X124),X123)
| ~ a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| ~ p(X117,esk45_1(X115))
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X123,X124),X123)
| a_member_of(esk46_2(X123,X124),X124)
| eq(X123,X124)
| ~ p(X117,esk45_1(X115))
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| ~ p(X117,esk45_1(X115))
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| ~ p(X117,esk45_1(X115))
| ~ p(X118,X117)
| ~ epred8_0
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_455])])])])])]) ).
cnf(c_0_458,plain,
( epred8_0
| ~ a(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_456]),c_0_450]),c_0_450]),c_0_450]),c_0_450]) ).
cnf(c_0_459,plain,
( a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| eq(X1,X2)
| p(X3,X4)
| epred9_0
| ~ p(X5,X3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_460,plain,
epred8_0,
inference(spm,[status(thm)],[c_0_458,c_0_456]) ).
cnf(c_0_461,plain,
( a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| eq(X1,X2)
| epred9_0
| ~ p(X3,esk45_1(X4))
| ~ p(X5,X3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_462,plain,
( a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| eq(X1,X2)
| p(X3,X4)
| p(X4,esk45_1(X3))
| epred9_0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_463,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X2)
| a_member_of(esk46_2(X1,X2),X1)
| eq(X1,X2)
| p(X3,X4)
| ~ p(X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_460])]) ).
cnf(c_0_464,plain,
( a_member_of(X1,X3)
| p(X4,X5)
| p(X5,esk45_1(X4))
| epred9_0
| ~ a_member_of(X1,X2)
| ~ eq(X2,X3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_465,plain,
( a_member_of(X1,X3)
| p(X4,X5)
| epred9_0
| ~ a_member_of(X1,X2)
| ~ eq(X2,X3)
| ~ p(X6,X4)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_466,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X2)
| a_member_of(esk46_2(X1,X2),X1)
| eq(X1,X2)
| ~ p(X3,esk45_1(X4))
| ~ p(X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_460])]) ).
cnf(c_0_467,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X2)
| a_member_of(esk46_2(X1,X2),X1)
| eq(X1,X2)
| p(X3,esk45_1(X4)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_462,c_0_460])]),c_0_463]) ).
cnf(c_0_468,plain,
( eq(esk47_0,esk48_0)
| p(X1,X2)
| p(X2,esk45_1(X1))
| epred9_0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_469,plain,
( eq(esk47_0,esk48_0)
| p(X1,X2)
| epred9_0
| ~ p(X3,X1)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_470,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,esk45_1(X4))
| ~ epred8_0
| ~ a_member_of(X1,X5)
| ~ eq(X5,X2) ),
inference(csr,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_471,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| a_member_of(esk46_2(X3,X4),X3)
| a_member_of(esk46_2(X3,X4),X4)
| eq(X1,X2)
| eq(X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_467]) ).
cnf(c_0_472,plain,
( epred9_0
| eq(esk47_0,esk48_0)
| p(X1,esk45_1(X2))
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_468,c_0_469]) ).
cnf(c_0_473,plain,
( a_member_of(X1,X3)
| epred9_0
| ~ a_member_of(X1,X2)
| ~ eq(X2,X3)
| ~ p(X4,esk45_1(X5))
| ~ p(X6,X4)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_474,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,esk45_1(X4))
| ~ a_member_of(X1,X5)
| ~ eq(X5,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_460])]) ).
cnf(c_0_475,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| eq(X1,X2) ),
inference(ef,[status(thm)],[c_0_471]) ).
cnf(c_0_476,plain,
( eq(esk47_0,esk48_0)
| epred9_0
| ~ p(X1,esk45_1(X2))
| ~ p(X3,X1)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_477,plain,
( epred9_0
| eq(esk47_0,esk48_0)
| p(X1,esk45_1(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_472,c_0_460])]) ).
cnf(c_0_478,plain,
( eq(X1,X2)
| p(X3,X4)
| p(X4,esk45_1(X3))
| epred9_0
| ~ a_member_of(esk46_2(X1,X2),X1)
| ~ a_member_of(esk46_2(X1,X2),X2)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_479,plain,
( eq(X1,X2)
| p(X3,X4)
| epred9_0
| ~ a_member_of(esk46_2(X1,X2),X1)
| ~ a_member_of(esk46_2(X1,X2),X2)
| ~ p(X5,X3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_480,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X3,X2)
| ~ p(X4,esk45_1(X5))
| ~ p(X6,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_473,c_0_460])]) ).
cnf(c_0_481,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X3)
| eq(X1,X2)
| p(X4,esk45_1(X5))
| ~ eq(X2,X3) ),
inference(spm,[status(thm)],[c_0_474,c_0_475]) ).
cnf(c_0_482,plain,
( epred9_0
| eq(esk47_0,esk48_0)
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_460])]),c_0_477]) ).
cnf(c_0_483,plain,
( epred9_0
| eq(X1,X2)
| p(X3,esk45_1(X4))
| ~ epred8_0
| ~ a_member_of(esk46_2(X1,X2),X2)
| ~ a_member_of(esk46_2(X1,X2),X1) ),
inference(csr,[status(thm)],[c_0_478,c_0_479]) ).
cnf(c_0_484,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X3)
| eq(X1,X2)
| ~ eq(X2,X3)
| ~ p(X4,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_475]),c_0_481]) ).
cnf(c_0_485,plain,
( epred9_0
| eq(esk47_0,esk48_0) ),
inference(spm,[status(thm)],[c_0_482,c_0_477]) ).
cnf(c_0_486,plain,
( p(X1,X2)
| p(X2,esk45_1(X1))
| epred9_0
| ~ eq(esk48_0,esk47_0)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_487,plain,
( p(X1,X2)
| epred9_0
| ~ eq(esk48_0,esk47_0)
| ~ p(X3,X1)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_488,plain,
( epred9_0
| eq(X1,X2)
| p(X3,esk45_1(X4))
| ~ a_member_of(esk46_2(X1,X2),X2)
| ~ a_member_of(esk46_2(X1,X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_460])]) ).
cnf(c_0_489,plain,
( epred9_0
| a_member_of(esk46_2(X1,X1),X1)
| eq(X1,X1)
| p(X2,esk45_1(X3)) ),
inference(ef,[status(thm)],[c_0_467]) ).
cnf(c_0_490,plain,
( epred9_0
| a_member_of(esk46_2(X1,esk47_0),esk48_0)
| a_member_of(esk46_2(X1,esk47_0),X1)
| eq(X1,esk47_0)
| ~ p(X2,X3) ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_491,plain,
( epred9_0
| p(X1,esk45_1(X2))
| ~ epred8_0
| ~ eq(esk48_0,esk47_0) ),
inference(csr,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_492,plain,
( a_member_of(X1,X3)
| p(X4,X5)
| p(X5,esk45_1(X4))
| epred9_0
| ~ a_member_of(X1,X2)
| ~ eq(X3,X2)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_493,plain,
( a_member_of(X1,X3)
| p(X4,X5)
| epred9_0
| ~ a_member_of(X1,X2)
| ~ eq(X3,X2)
| ~ p(X6,X4)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_494,plain,
( eq(X1,X2)
| epred9_0
| ~ a_member_of(esk46_2(X1,X2),X1)
| ~ a_member_of(esk46_2(X1,X2),X2)
| ~ p(X3,esk45_1(X4))
| ~ p(X5,X3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_495,plain,
( epred9_0
| eq(X1,X1)
| p(X2,esk45_1(X3))
| p(X4,esk45_1(X5)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_489]) ).
cnf(c_0_496,plain,
( a_member_of(X1,X3)
| epred9_0
| ~ a_member_of(X1,X2)
| ~ eq(X3,X2)
| ~ p(X4,esk45_1(X5))
| ~ p(X6,X4)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_497,plain,
( epred9_0
| a_member_of(esk46_2(X1,esk47_0),esk48_0)
| a_member_of(esk46_2(X1,esk47_0),X1)
| eq(X1,esk47_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_485]),c_0_490]) ).
cnf(c_0_498,plain,
( epred9_0
| ~ eq(esk48_0,esk47_0)
| ~ p(X1,esk45_1(X2))
| ~ p(X3,X1)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_499,plain,
( epred9_0
| p(X1,esk45_1(X2))
| ~ eq(esk48_0,esk47_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_491,c_0_460])]) ).
cnf(c_0_500,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,esk45_1(X4))
| ~ epred8_0
| ~ a_member_of(X1,X5)
| ~ eq(X2,X5) ),
inference(csr,[status(thm)],[c_0_492,c_0_493]) ).
cnf(c_0_501,plain,
( epred9_0
| eq(X1,X2)
| ~ a_member_of(esk46_2(X1,X2),X2)
| ~ a_member_of(esk46_2(X1,X2),X1)
| ~ p(X3,esk45_1(X4))
| ~ p(X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_494,c_0_460])]) ).
cnf(c_0_502,plain,
( epred9_0
| a_member_of(esk46_2(X1,X1),X1)
| eq(X1,X1) ),
inference(ef,[status(thm)],[c_0_471]) ).
cnf(c_0_503,plain,
( epred9_0
| eq(X1,X1)
| p(X2,esk45_1(X3)) ),
inference(ef,[status(thm)],[c_0_495]) ).
cnf(c_0_504,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X2,X3)
| ~ p(X4,esk45_1(X5))
| ~ p(X6,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_496,c_0_460])]) ).
cnf(c_0_505,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk48_0)
| eq(esk48_0,esk47_0) ),
inference(ef,[status(thm)],[c_0_497]) ).
cnf(c_0_506,plain,
( epred9_0
| ~ eq(esk48_0,esk47_0)
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_498,c_0_460])]),c_0_499]) ).
cnf(c_0_507,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,esk45_1(X4))
| ~ a_member_of(X1,X5)
| ~ eq(X2,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_500,c_0_460])]) ).
cnf(c_0_508,plain,
( epred9_0
| eq(X1,X1)
| ~ p(X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_503]),c_0_502]) ).
cnf(c_0_509,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),X1)
| ~ eq(X1,esk48_0)
| ~ p(X2,esk45_1(X3))
| ~ p(X4,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_506]) ).
cnf(c_0_510,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),X1)
| p(X2,esk45_1(X3))
| ~ eq(X1,esk48_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_505]),c_0_499]) ).
cnf(c_0_511,plain,
( epred9_0
| eq(X1,X1)
| eq(X2,X2) ),
inference(spm,[status(thm)],[c_0_508,c_0_503]) ).
cnf(c_0_512,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk47_0)
| ~ p(X1,esk45_1(X2))
| ~ p(X3,X1) ),
inference(spm,[status(thm)],[c_0_509,c_0_485]) ).
cnf(c_0_513,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk47_0)
| p(X1,esk45_1(X2)) ),
inference(spm,[status(thm)],[c_0_510,c_0_485]) ).
fof(c_0_514,plain,
( epred10_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) )
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) )
& ? [X3] :
! [X4] :
? [X5] :
( ( p(X5,X4)
=> ? [X10] : p(X10,X5) )
& ( ( p(X3,X5)
& p(X5,X3) )
=> p(X5,X4) ) )
& ( ! [X4,X5] :
( eq(X4,X5)
<=> ! [X3] :
( a_member_of(X3,X4)
<=> a_member_of(X3,X5) ) )
=> ! [X6,X2] :
( eq(X6,X2)
=> eq(X2,X6) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ? [X4] :
! [X5] :
( p1(X4)
=> p1(X5) )
& ! [X2] :
( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& r1(X2) )
=> ( ! [X5] :
( r1(X5)
=> p1(X5) )
=> q1(X2) ) ) ) ),
introduced(definition) ).
cnf(c_0_515,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),X1)
| ~ eq(esk48_0,X1)
| ~ p(X2,esk45_1(X3))
| ~ p(X4,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_505]),c_0_506]) ).
cnf(c_0_516,plain,
( epred9_0
| eq(X1,X1) ),
inference(ef,[status(thm)],[c_0_511]) ).
cnf(c_0_517,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk47_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_513]) ).
fof(c_0_518,plain,
( ( epred9_0
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ? [X4] :
! [X5] :
( p1(X4)
=> p1(X5) )
& ! [X2] :
( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& r1(X2) )
=> ( ! [X5] :
( r1(X5)
=> p1(X5) )
=> q1(X2) ) ) )
=> epred10_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_514]),c_0_453]) ).
cnf(c_0_519,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk48_0)
| ~ p(X1,esk45_1(X2))
| ~ p(X3,X1) ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_520,plain,
( epred9_0
| p(X1,esk45_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_517]),c_0_505]),c_0_499]) ).
fof(c_0_521,plain,
! [X130,X131,X132,X135,X136] :
( ( ~ p1(X135)
| q1(X135)
| p1(X132)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X132)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| p1(X132)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X132)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| ~ p1(esk51_0)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| ~ p1(esk51_0)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ q1(X130)
| p1(X130)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| p1(X132)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X132)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| p1(X132)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X132)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| ~ p1(esk51_0)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| ~ p1(esk51_0)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| q1(X131)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| p1(X132)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X132)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| p1(X132)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X132)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X131)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| p1(X132)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X132)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| p1(X132)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X132)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| ~ p1(esk51_0)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| ~ p1(esk51_0)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| q1(X131)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| p1(X132)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X132)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| p1(X132)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X132)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X135)
| q1(X135)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X136)
| p1(X136)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_518])])])])])]) ).
cnf(c_0_522,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk48_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_520]) ).
cnf(c_0_523,plain,
( p1(X1)
| p1(X2)
| q1(X3)
| p1(X3)
| epred10_0
| ~ r1(X1)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_524,plain,
( p1(X1)
| p1(X2)
| p1(X3)
| epred10_0
| ~ r1(X1)
| ~ q1(X3)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_525,plain,
( epred9_0
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_517]),c_0_520]),c_0_522]),c_0_506]) ).
cnf(c_0_526,plain,
( r1(esk52_0)
| p1(X1)
| p1(X2)
| epred10_0
| ~ q1(X2)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_527,plain,
( r1(esk52_0)
| p1(X1)
| q1(X2)
| p1(X2)
| epred10_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_528,plain,
( epred10_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ epred9_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[c_0_523,c_0_524]) ).
cnf(c_0_529,plain,
epred9_0,
inference(spm,[status(thm)],[c_0_525,c_0_520]) ).
cnf(c_0_530,plain,
( epred10_0
| r1(esk52_0)
| p1(X1)
| p1(X2)
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_531,plain,
( epred10_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ r1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_528,c_0_529])]) ).
cnf(c_0_532,plain,
( epred10_0
| r1(esk52_0)
| p1(X1)
| p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_529])]) ).
cnf(c_0_533,plain,
( q1(X1)
| p1(X2)
| q1(X3)
| p1(X3)
| epred10_0
| ~ p1(X1)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_534,plain,
( q1(X1)
| p1(X2)
| p1(X3)
| epred10_0
| ~ p1(X1)
| ~ q1(X3)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_535,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ r1(X1) ),
inference(ef,[status(thm)],[c_0_531]) ).
cnf(c_0_536,plain,
( epred10_0
| r1(esk52_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_532]) ).
cnf(c_0_537,plain,
( p1(X1)
| q1(X2)
| p1(X2)
| epred10_0
| ~ q1(esk52_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_538,plain,
( p1(X1)
| p1(X2)
| epred10_0
| ~ q1(esk52_0)
| ~ q1(X2)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_539,plain,
( q1(X1)
| q1(X2)
| p1(X2)
| epred10_0
| ~ p1(X1)
| ~ p1(esk51_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_540,plain,
( q1(X1)
| p1(X2)
| epred10_0
| ~ p1(X1)
| ~ p1(esk51_0)
| ~ q1(X2)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_541,plain,
( q1(X1)
| p1(X2)
| q1(X3)
| epred10_0
| ~ p1(X1)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_542,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_533,c_0_534]) ).
cnf(c_0_543,plain,
( epred10_0
| p1(esk52_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_544,plain,
( p1(X1)
| q1(X2)
| epred10_0
| ~ q1(esk52_0)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_545,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ epred9_0
| ~ q1(esk52_0) ),
inference(csr,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_546,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ epred9_0
| ~ p1(esk51_0)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_539,c_0_540]) ).
cnf(c_0_547,plain,
( epred10_0
| p1(X1)
| q1(X2)
| q1(X3)
| ~ epred9_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_541,c_0_542]) ).
cnf(c_0_548,plain,
( epred10_0
| p1(esk52_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_543]) ).
cnf(c_0_549,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ epred9_0
| ~ q1(esk52_0) ),
inference(csr,[status(thm)],[c_0_544,c_0_545]) ).
cnf(c_0_550,plain,
( q1(X1)
| epred10_0
| ~ p1(X1)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_551,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ p1(esk51_0)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_546,c_0_529])]) ).
cnf(c_0_552,plain,
( epred10_0
| p1(X1)
| q1(X2)
| q1(X3)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_547,c_0_529])]) ).
cnf(c_0_553,plain,
( epred10_0
| p1(esk52_0) ),
inference(ef,[status(thm)],[c_0_548]) ).
cnf(c_0_554,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ q1(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_549,c_0_529])]) ).
cnf(c_0_555,plain,
( epred10_0
| q1(X1)
| ~ p1(esk51_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_550,c_0_529])]),c_0_551]),c_0_551]) ).
cnf(c_0_556,plain,
( epred10_0
| p1(X1)
| q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_554]) ).
cnf(c_0_557,plain,
( epred10_0
| q1(X1)
| q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_556]) ).
fof(c_0_558,plain,
( epred11_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) )
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) )
& ? [X3] :
! [X4] :
? [X5] :
( ( p(X5,X4)
=> ? [X10] : p(X10,X5) )
& ( ( p(X3,X5)
& p(X5,X3) )
=> p(X5,X4) ) )
& ( ! [X4,X5] :
( eq(X4,X5)
<=> ! [X3] :
( a_member_of(X3,X4)
<=> a_member_of(X3,X5) ) )
=> ! [X6,X2] :
( eq(X6,X2)
=> eq(X2,X6) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ? [X4] :
! [X5] :
( p1(X4)
=> p1(X5) )
& ! [X2] :
( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& r1(X2) )
=> ( ! [X5] :
( r1(X5)
=> p1(X5) )
=> q1(X2) ) )
& ! [X6,X2] :
? [X4,X5] :
( ( p1(X4)
=> r1(X5) )
=> ( p1(X6)
=> r1(X2) ) )
& ? [X5] :
( ? [X4] : p1(X4)
=> p1(X5) )
& ( ? [X4] :
! [X5] : p(X4,X5)
=> ! [X5] :
? [X4] : p(X4,X5) )
& ( ? [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4,X5] : p(X4,X5)
=> ! [X4] : p(X4,X4) ) ) ),
introduced(definition) ).
cnf(c_0_559,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ q1(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_545,c_0_529])]) ).
cnf(c_0_560,plain,
( epred10_0
| q1(X1) ),
inference(ef,[status(thm)],[c_0_557]) ).
fof(c_0_561,plain,
( ( epred10_0
& ! [X6,X2] :
? [X4,X5] :
( ( p1(X4)
=> r1(X5) )
=> ( p1(X6)
=> r1(X2) ) )
& ? [X5] :
( ? [X4] : p1(X4)
=> p1(X5) )
& ( ? [X4] :
! [X5] : p(X4,X5)
=> ! [X5] :
? [X4] : p(X4,X5) )
& ( ? [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4,X5] : p(X4,X5)
=> ! [X4] : p(X4,X4) ) )
=> epred11_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_558]),c_0_514]) ).
cnf(c_0_562,plain,
( epred10_0
| ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_563,plain,
( epred10_0
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_559,c_0_560]) ).
fof(c_0_564,plain,
! [X139,X140,X142,X144,X146,X148,X149,X150] :
( ( p(X149,X150)
| p1(esk58_0)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ p1(X139)
| r1(X140)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| p(esk56_0,X144)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X144)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| p(esk56_0,X144)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| p(esk56_0,X144)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| p(esk56_0,X144)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X144)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| p(esk56_0,X144)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| p(esk56_0,X144)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| p(esk56_0,X144)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| p(esk56_0,X144)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X149,X150)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X148)
| ~ p(X146,esk57_0)
| ~ p1(X142)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_561])])])])])]) ).
cnf(c_0_565,plain,
( epred10_0
| ~ p1(esk49_0)
| ~ p1(esk50_0)
| ~ p1(esk51_0)
| ~ q1(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_562,c_0_529])]) ).
cnf(c_0_566,plain,
( epred10_0
| p1(X1) ),
inference(ef,[status(thm)],[c_0_563]) ).
cnf(c_0_567,plain,
( p1(esk55_0)
| r1(X4)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ p(X2,esk57_0)
| ~ p1(X3)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_568,plain,
( r1(X5)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ p(X2,esk57_0)
| ~ p1(X3)
| ~ p1(X4)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_569,plain,
( p(X1,X2)
| p(esk56_0,X4)
| r1(X7)
| epred11_0
| ~ p1(X3)
| ~ p1(X5)
| ~ p1(X6)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_570,plain,
epred10_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_560]),c_0_566]),c_0_566]) ).
cnf(c_0_571,plain,
( p(X1,X2)
| p1(esk55_0)
| r1(X6)
| epred11_0
| ~ p1(X3)
| ~ p(X4,esk57_0)
| ~ p1(X5)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_572,plain,
( p(X1,X2)
| r1(X7)
| epred11_0
| ~ p1(X3)
| ~ p(X4,esk57_0)
| ~ p1(X5)
| ~ p1(X6)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_573,plain,
( p1(esk58_0)
| p1(esk55_0)
| r1(X3)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ p1(X2)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_574,plain,
( epred11_0
| r1(X1)
| ~ epred10_0
| ~ p(esk59_0,esk59_0)
| ~ p(X2,esk57_0)
| ~ p1(X3)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_567,c_0_568]) ).
cnf(c_0_575,plain,
( p(X1,X2)
| p1(esk58_0)
| p(esk56_0,X3)
| r1(X6)
| epred11_0
| ~ p1(X4)
| ~ p1(X5)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_576,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| r1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_569,c_0_570])]) ).
cnf(c_0_577,plain,
( p(X1,X2)
| p1(esk58_0)
| p1(esk55_0)
| r1(X5)
| epred11_0
| ~ p(X3,esk57_0)
| ~ p1(X4)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_578,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| ~ epred10_0
| ~ p(X4,esk57_0)
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_579,plain,
( p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ p(X2,esk57_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_580,plain,
( p1(esk53_0)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ p(X2,esk57_0)
| ~ p1(X3)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_581,plain,
( p(X1,X2)
| p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ p1(X3)
| ~ p(X4,esk57_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_582,plain,
( p(X1,X2)
| p1(esk53_0)
| epred11_0
| ~ p1(X3)
| ~ p(X4,esk57_0)
| ~ p1(X5)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_583,plain,
( p1(esk58_0)
| p(esk56_0,X1)
| p1(esk55_0)
| r1(X3)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X2)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_584,plain,
( p(X1,X2)
| p1(esk58_0)
| p(esk56_0,X3)
| p1(esk55_0)
| r1(X5)
| epred11_0
| ~ p1(X4)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_585,plain,
( epred11_0
| r1(X1)
| ~ epred10_0
| ~ p(esk59_0,esk59_0)
| ~ p(X2,esk57_0)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_573,c_0_574]),c_0_574]) ).
cnf(c_0_586,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| r1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_575,c_0_570])]),c_0_576]) ).
cnf(c_0_587,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| ~ epred10_0
| ~ p(X4,esk57_0)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_577,c_0_578]),c_0_578]) ).
cnf(c_0_588,plain,
( p1(esk58_0)
| p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_589,plain,
( epred11_0
| p1(esk53_0)
| ~ epred10_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_579,c_0_580]) ).
cnf(c_0_590,plain,
( p(esk56_0,X2)
| p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_591,plain,
( p(X1,X2)
| p(esk56_0,X4)
| p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ p1(X3)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_592,plain,
( p(X1,X2)
| p1(esk58_0)
| p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ p(X3,esk57_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_593,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0)
| ~ epred10_0
| ~ p(X3,esk57_0)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_581,c_0_582]) ).
cnf(c_0_594,plain,
( p1(esk58_0)
| p(esk56_0,X1)
| p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_595,plain,
( p(X1,X2)
| p1(esk58_0)
| p(esk56_0,X3)
| p1(esk55_0)
| p1(esk53_0)
| epred11_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_596,plain,
( epred11_0
| p(esk56_0,X1)
| r1(X2)
| p1(esk58_0)
| p1(esk55_0)
| ~ epred10_0
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_583,c_0_584]) ).
cnf(c_0_597,plain,
( epred11_0
| r1(X1)
| ~ p(esk59_0,esk59_0)
| ~ p(X2,esk57_0)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_585,c_0_570])]) ).
cnf(c_0_598,plain,
( epred11_0
| p(esk56_0,X1)
| r1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(ef,[status(thm)],[c_0_586]) ).
cnf(c_0_599,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| ~ p(X4,esk57_0)
| ~ p1(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_587,c_0_570])]) ).
cnf(c_0_600,plain,
( epred11_0
| p1(esk53_0)
| ~ epred10_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_588,c_0_589]),c_0_589]) ).
cnf(c_0_601,plain,
( epred11_0
| p(esk56_0,X1)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_590,c_0_591]) ).
cnf(c_0_602,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0)
| ~ epred10_0
| ~ p(X3,esk57_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_592,c_0_593]),c_0_593]) ).
cnf(c_0_603,plain,
( epred11_0
| p(esk56_0,X1)
| p1(esk58_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_604,plain,
( epred11_0
| p(esk56_0,X1)
| r1(X2)
| p1(esk55_0)
| p1(esk58_0)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_596,c_0_570])]) ).
cnf(c_0_605,plain,
( epred11_0
| r1(X1)
| r1(X2)
| ~ p(esk59_0,esk59_0)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(spm,[status(thm)],[c_0_597,c_0_598]) ).
cnf(c_0_606,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| r1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(spm,[status(thm)],[c_0_599,c_0_598]) ).
cnf(c_0_607,plain,
( p(X1,X2)
| p(esk56_0,X4)
| p1(esk53_0)
| epred11_0
| ~ p1(X3)
| ~ p1(X5)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_608,plain,
( epred11_0
| p1(esk53_0)
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_600,c_0_570])]) ).
cnf(c_0_609,plain,
( epred11_0
| p(esk56_0,X1)
| p1(esk53_0)
| p1(esk55_0)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_601,c_0_570])]) ).
cnf(c_0_610,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0)
| ~ p(X3,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_602,c_0_570])]) ).
cnf(c_0_611,plain,
( epred11_0
| p(esk56_0,X1)
| p1(esk53_0)
| p1(esk55_0)
| p1(esk58_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_603,c_0_570])]) ).
cnf(c_0_612,plain,
( epred11_0
| r1(X1)
| r1(X2)
| ~ p(esk59_0,esk59_0)
| ~ p1(X3)
| ~ p1(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_604]),c_0_605]),c_0_605]) ).
cnf(c_0_613,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(ef,[status(thm)],[c_0_606]) ).
cnf(c_0_614,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| p1(esk53_0)
| ~ p1(X4)
| ~ p1(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_607,c_0_570])]) ).
cnf(c_0_615,plain,
( epred11_0
| p1(esk55_0)
| p1(esk53_0)
| ~ p(esk59_0,esk59_0)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_608,c_0_609]) ).
cnf(c_0_616,plain,
( epred11_0
| p(X1,X2)
| p1(esk55_0)
| p1(esk53_0)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_610,c_0_609]) ).
cnf(c_0_617,plain,
( epred11_0
| p1(esk58_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ p(esk59_0,esk59_0) ),
inference(spm,[status(thm)],[c_0_608,c_0_611]) ).
cnf(c_0_618,plain,
( epred11_0
| p(X1,X2)
| p1(esk58_0)
| p1(esk55_0)
| p1(esk53_0) ),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_619,plain,
( p(X1,X2)
| p1(esk58_0)
| p(esk56_0,X3)
| epred11_0
| ~ p1(X4)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_620,plain,
( p(X1,X2)
| p(esk56_0,X4)
| epred11_0
| ~ p1(X3)
| ~ p1(X5)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_621,plain,
( epred11_0
| r1(X1)
| r1(X2)
| r1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(spm,[status(thm)],[c_0_612,c_0_613]) ).
cnf(c_0_622,plain,
( epred11_0
| p(esk56_0,X1)
| p1(esk53_0)
| ~ p1(X2)
| ~ p1(X3) ),
inference(ef,[status(thm)],[c_0_614]) ).
cnf(c_0_623,plain,
( epred11_0
| p1(esk53_0)
| p1(esk55_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_615,c_0_616]) ).
cnf(c_0_624,plain,
( epred11_0
| p1(esk53_0)
| p1(esk55_0)
| p1(esk58_0) ),
inference(spm,[status(thm)],[c_0_617,c_0_618]) ).
cnf(c_0_625,plain,
( p(X1,X2)
| p1(esk55_0)
| epred11_0
| ~ p1(X3)
| ~ p(X4,esk57_0)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_626,plain,
( p(X1,X2)
| epred11_0
| ~ p1(X3)
| ~ p(X4,esk57_0)
| ~ p1(X5)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_627,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| ~ epred10_0
| ~ r1(esk54_0)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_619,c_0_620]) ).
cnf(c_0_628,plain,
( epred11_0
| r1(X1)
| r1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(ef,[status(thm)],[c_0_621]) ).
cnf(c_0_629,plain,
( epred11_0
| p1(esk53_0)
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_608,c_0_622]) ).
cnf(c_0_630,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0)
| ~ p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_610,c_0_622]) ).
cnf(c_0_631,plain,
( epred11_0
| p1(esk55_0)
| p1(esk53_0)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_623,c_0_624]) ).
cnf(c_0_632,plain,
( p1(esk55_0)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ p(X2,esk57_0)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_633,plain,
( epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p1(X1)
| ~ p(X2,esk57_0)
| ~ p1(X3)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_634,plain,
( p(X1,X2)
| p1(esk58_0)
| p1(esk55_0)
| epred11_0
| ~ p(X3,esk57_0)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_635,plain,
( epred11_0
| p(X1,X2)
| ~ epred10_0
| ~ p(X3,esk57_0)
| ~ r1(esk54_0)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_625,c_0_626]) ).
cnf(c_0_636,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| ~ r1(esk54_0)
| ~ p1(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_627,c_0_570])]) ).
cnf(c_0_637,plain,
( epred11_0
| r1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(ef,[status(thm)],[c_0_628]) ).
cnf(c_0_638,plain,
( epred11_0
| p1(esk53_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_629,c_0_630]) ).
cnf(c_0_639,plain,
( epred11_0
| p1(esk53_0)
| p1(esk55_0) ),
inference(spm,[status(thm)],[c_0_631,c_0_624]) ).
cnf(c_0_640,plain,
( p1(esk58_0)
| p1(esk55_0)
| epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_641,plain,
( epred11_0
| ~ epred10_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ r1(esk54_0)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_642,plain,
( epred11_0
| p(X1,X2)
| ~ epred10_0
| ~ p(X3,esk57_0)
| ~ r1(esk54_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_634,c_0_635]),c_0_635]) ).
cnf(c_0_643,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8)
| ~ p1(X9) ),
inference(spm,[status(thm)],[c_0_636,c_0_637]) ).
cnf(c_0_644,plain,
( epred11_0
| p1(esk53_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_638,c_0_639]) ).
cnf(c_0_645,plain,
( epred11_0
| ~ epred10_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ r1(esk54_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_640,c_0_641]),c_0_641]) ).
cnf(c_0_646,plain,
( epred11_0
| p(X1,X2)
| ~ p(X3,esk57_0)
| ~ r1(esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_642,c_0_570])]) ).
cnf(c_0_647,plain,
( epred11_0
| p(esk56_0,X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(ef,[status(thm)],[c_0_643]) ).
cnf(c_0_648,plain,
( epred11_0
| p1(esk53_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_644,c_0_639]) ).
fof(c_0_649,plain,
( epred12_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) )
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) )
& ? [X3] :
! [X4] :
? [X5] :
( ( p(X5,X4)
=> ? [X10] : p(X10,X5) )
& ( ( p(X3,X5)
& p(X5,X3) )
=> p(X5,X4) ) )
& ( ! [X4,X5] :
( eq(X4,X5)
<=> ! [X3] :
( a_member_of(X3,X4)
<=> a_member_of(X3,X5) ) )
=> ! [X6,X2] :
( eq(X6,X2)
=> eq(X2,X6) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ? [X4] :
! [X5] :
( p1(X4)
=> p1(X5) )
& ! [X2] :
( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& r1(X2) )
=> ( ! [X5] :
( r1(X5)
=> p1(X5) )
=> q1(X2) ) )
& ! [X6,X2] :
? [X4,X5] :
( ( p1(X4)
=> r1(X5) )
=> ( p1(X6)
=> r1(X2) ) )
& ? [X5] :
( ? [X4] : p1(X4)
=> p1(X5) )
& ( ? [X4] :
! [X5] : p(X4,X5)
=> ! [X5] :
? [X4] : p(X4,X5) )
& ( ? [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4,X5] : p(X4,X5)
=> ! [X4] : p(X4,X4) )
& ! [X6] :
( ( ( f0
| g0 )
& ! [X4] :
( p1(X4)
& q1(X4) ) )
=> q1(X6) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) ) ) ),
introduced(definition) ).
cnf(c_0_650,plain,
( epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ r1(esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_645,c_0_570])]) ).
cnf(c_0_651,plain,
( epred11_0
| p(X1,X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_637]) ).
cnf(c_0_652,plain,
( epred11_0
| p1(esk53_0)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_648,c_0_639]) ).
fof(c_0_653,plain,
( ( epred11_0
& ! [X6] :
( ( ( f0
| g0 )
& ! [X4] :
( p1(X4)
& q1(X4) ) )
=> q1(X6) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) ) )
=> epred12_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_649]),c_0_558]) ).
cnf(c_0_654,plain,
( epred11_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_651]),c_0_637]),c_0_651]) ).
cnf(c_0_655,plain,
( epred11_0
| p1(esk53_0) ),
inference(spm,[status(thm)],[c_0_652,c_0_639]) ).
fof(c_0_656,plain,
! [X153] :
( ( a0
| ~ a0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| a0
| b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( b0
| a0
| b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| a0
| b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| a0
| b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ b0
| f0
| g0
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| a0
| b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| a0
| b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| a0
| b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| a0
| b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ b0
| p1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| a0
| b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| a0
| b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| a0
| b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| a0
| b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ b0
| q1(X153)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| a0
| b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( b0
| a0
| b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| a0
| b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| a0
| b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0
| epred12_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_653])])])])]) ).
cnf(c_0_657,plain,
( epred11_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_658,plain,
( epred12_0
| ~ a0
| ~ b0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_659,plain,
( epred11_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_657,c_0_655]) ).
cnf(c_0_660,plain,
( a0
| epred12_0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_661,plain,
( epred12_0
| ~ a0
| ~ b0
| ~ epred11_0
| ~ q1(esk60_0) ),
inference(cn,[status(thm)],[c_0_658]) ).
cnf(c_0_662,plain,
( epred11_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_659,c_0_655]) ).
cnf(c_0_663,plain,
( a0
| b0
| a0
| b0
| q1(X1)
| epred12_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_664,plain,
( a0
| b0
| a0
| b0
| epred12_0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_665,plain,
( b0
| epred12_0
| ~ a0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_666,plain,
( epred12_0
| ~ epred11_0
| ~ b0
| ~ q1(esk60_0) ),
inference(csr,[status(thm)],[c_0_660,c_0_661]) ).
cnf(c_0_667,plain,
( epred11_0
| ~ p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_662,c_0_655]) ).
cnf(c_0_668,plain,
( a0
| q1(X1)
| epred12_0
| ~ b0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_669,plain,
( a0
| b0
| epred12_0
| q1(X1)
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_663]) ).
cnf(c_0_670,plain,
( a0
| b0
| epred12_0
| ~ epred11_0
| ~ q1(esk60_0) ),
inference(cn,[status(thm)],[c_0_664]) ).
cnf(c_0_671,plain,
( epred12_0
| ~ epred11_0
| ~ a0
| ~ q1(esk60_0) ),
inference(csr,[status(thm)],[c_0_665,c_0_666]) ).
cnf(c_0_672,plain,
( epred11_0
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_667,c_0_655]) ).
cnf(c_0_673,plain,
( b0
| q1(X1)
| epred12_0
| ~ a0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_674,plain,
( epred12_0
| a0
| q1(X1)
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_668,c_0_669]) ).
fof(c_0_675,plain,
( epred13_0
<=> ( ! [X1,X2] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> p1(X4) )
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) )
& q1(X4) ) )
& ! [X2,X1] :
( ! [X3] : q1(f(X3))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ! [X2,X1] :
( q1(f(X2))
=> ? [X4,X5] :
( ( p1(f(X5))
=> ( p1(X4)
& ( r1(X5)
=> ( r1(X2)
& r1(X1) ) ) ) )
& q1(X4) ) )
& ( ( ! [X4] :
( a1(X4)
=> ( b(X4)
| c(X4) ) )
& ~ ! [X4] :
( a1(X4)
=> b(X4) ) )
=> ? [X4] :
( a1(X4)
& c(X4) ) )
& ! [X6] :
? [X4,X7,X8,X9,X5] :
( ( p1(X6)
& e(X6)
& ( e(X4)
=> ( g(X4)
| s(X4,f(X4)) ) )
& ( e(X7)
=> ( g(X7)
| c(f(X7)) ) )
& ( s(X6,X5)
=> p1(X5) ) )
=> ( ( p1(X8)
& g(X8) )
| ( p1(X9)
& c(X9) ) ) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ( ! [X4] : p1(X4)
=> ! [X6,X2] :
( p1(X6)
& p1(X2) ) )
& ( ( ! [X4] : p1(X4)
& ? [X5] : q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( p1(X4)
& q1(X5) )
=> ? [X3] :
! [X5] :
( p1(X5)
| r1(X3) ) )
& ( ! [X4] :
? [X5] :
( a(X4,X5)
& a(X5,X5) )
=> ? [X3] : a(X3,X3) )
& ! [X6,X2,X1] :
( ( s1(X6)
& s1(X2)
& r(X2,X1)
& ! [X4] :
( s1(X4)
=> p1(X4) )
& ! [X4,X5] :
( r(X4,X5)
=> q(X4,X5) ) )
=> ? [X4,X5] :
( p1(X4)
& q(X4,X5) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ? [X4] : p1(X4)
=> ( ? [X4] : p1(X4)
& ( a0
=> ( b0
| ~ b0 ) ) ) )
& ( ! [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4] :
( p1(X4)
=> q1(X4) )
=> ( ! [X4] : p1(X4)
=> ! [X4] : q1(X4) ) )
& ! [X6,X2] :
( ! [X3] :
( q1(X3)
=> p1(X3) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ( ! [X4] :
( a1(X4)
=> b(X4) )
=> ( ? [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ( ? [X4] :
( a1(X4)
=> b(X4) )
=> ( ! [X4] : a1(X4)
=> ? [X4] : b(X4) ) )
& ~ ? [X5] :
! [X4] :
( a(X4,X5)
<=> ~ a(X4,X4) )
& ( ( ? [X4] : a1(X4)
& ! [X4] : b(X4) )
=> ? [X4] :
( a1(X4)
& b(X4) ) )
& ( ? [X4] : b(X4)
=> ? [X4] :
( a1(X4)
| b(X4) ) )
& ( ? [X4,X5] : a(X4,X5)
<=> ? [X5,X4] : a(X4,X5) )
& ! [X6,X2] :
( ! [X4] : p1(X4)
=> ( p1(X6)
& p1(X2) ) )
& ( ! [X4] : p1(X4)
=> ( ! [X4] : p1(X4)
& ! [X5] : p1(X5) ) )
& ( ? [X4] : p1(X4)
<=> ? [X5] : p1(X5) )
& ( ? [X4] : p1(X4)
=> ? [X3] : p1(X3) )
& ? [X3] :
! [X4] :
? [X5] :
( ( p(X5,X4)
=> ? [X10] : p(X10,X5) )
& ( ( p(X3,X5)
& p(X5,X3) )
=> p(X5,X4) ) )
& ( ! [X4,X5] :
( eq(X4,X5)
<=> ! [X3] :
( a_member_of(X3,X4)
<=> a_member_of(X3,X5) ) )
=> ! [X6,X2] :
( eq(X6,X2)
=> eq(X2,X6) ) )
& ! [X6,X2] :
( ! [X5] :
( q1(X5)
=> p1(X5) )
=> ? [X4] :
( ( p1(X4)
=> p1(X6) )
& ( q1(X4)
=> p1(X2) ) ) )
& ? [X4] :
! [X5] :
( p1(X4)
=> p1(X5) )
& ! [X2] :
( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& r1(X2) )
=> ( ! [X5] :
( r1(X5)
=> p1(X5) )
=> q1(X2) ) )
& ! [X6,X2] :
? [X4,X5] :
( ( p1(X4)
=> r1(X5) )
=> ( p1(X6)
=> r1(X2) ) )
& ? [X5] :
( ? [X4] : p1(X4)
=> p1(X5) )
& ( ? [X4] :
! [X5] : p(X4,X5)
=> ! [X5] :
? [X4] : p(X4,X5) )
& ( ? [X4] : p1(X4)
=> ? [X5] : p1(X5) )
& ( ! [X4,X5] : p(X4,X5)
=> ! [X4] : p(X4,X4) )
& ! [X6] :
( ( ( f0
| g0 )
& ! [X4] :
( p1(X4)
& q1(X4) ) )
=> q1(X6) )
& ( ( a0
<=> b0 )
| a0
| b0 )
& ( ( a0
& b0 )
=> ( a0
<=> b0 ) )
& ! [X6,X2] :
? [X4,X5] :
( ( ( q1(X4)
=> p(X4,X6) )
& q1(X6)
& q1(X2)
& ( r1(X5)
=> p(X2,X5) )
& r1(X6)
& r1(X2)
& ( s1(X6)
=> p(X4,X5) )
& s1(X6) )
=> p(X6,X2) )
& ! [X2] :
( ! [X5] :
( ( r1(X2)
=> r1(X5) )
=> p(f(X5),X5) )
=> ? [X4,X5] :
( p(X4,X5)
& ( q(f(X2),X2)
=> q(X4,X5) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_676,plain,
( epred12_0
| ~ epred11_0
| ~ q1(esk60_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_670,c_0_671]),c_0_666]) ).
cnf(c_0_677,plain,
epred11_0,
inference(spm,[status(thm)],[c_0_672,c_0_655]) ).
cnf(c_0_678,plain,
( epred12_0
| b0
| q1(X1)
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_673,c_0_674]) ).
fof(c_0_679,plain,
( ( epred12_0
& ! [X6,X2] :
? [X4,X5] :
( ( ( q1(X4)
=> p(X4,X6) )
& q1(X6)
& q1(X2)
& ( r1(X5)
=> p(X2,X5) )
& r1(X6)
& r1(X2)
& ( s1(X6)
=> p(X4,X5) )
& s1(X6) )
=> p(X6,X2) )
& ! [X2] :
( ! [X5] :
( ( r1(X2)
=> r1(X5) )
=> p(f(X5),X5) )
=> ? [X4,X5] :
( p(X4,X5)
& ( q(f(X2),X2)
=> q(X4,X5) ) ) ) )
=> epred13_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_675]),c_0_649]) ).
fof(c_0_680,negated_conjecture,
~ ( epred13_0
& ( ( ! [X4] :
( p1(X4)
=> q1(X4) )
& ? [X5] :
( q1(X5)
=> r1(X5) ) )
=> ? [X3] :
( p1(X3)
=> r1(X3) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this])]),c_0_675]) ).
cnf(c_0_681,plain,
( q1(X1)
| epred12_0
| ~ a0
| ~ b0
| ~ b0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_682,plain,
( epred12_0
| ~ q1(esk60_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_676,c_0_677])]) ).
cnf(c_0_683,plain,
( epred12_0
| a0
| q1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_674,c_0_677])]) ).
cnf(c_0_684,plain,
( epred12_0
| b0
| q1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_678,c_0_677])]) ).
fof(c_0_685,plain,
! [X156,X157,X159,X160,X161] :
( ( r1(esk63_0)
| p(f(X159),X159)
| ~ q1(X156)
| p(X156,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| ~ q1(X156)
| p(X156,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| ~ q1(X156)
| p(X156,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| ~ q1(X156)
| p(X156,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| ~ r1(X157)
| p(esk62_0,X157)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| ~ r1(X157)
| p(esk62_0,X157)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| ~ r1(X157)
| p(esk62_0,X157)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| ~ r1(X157)
| p(esk62_0,X157)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| ~ s1(esk61_0)
| p(X156,X157)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| ~ s1(esk61_0)
| p(X156,X157)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| ~ s1(esk61_0)
| p(X156,X157)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| ~ s1(esk61_0)
| p(X156,X157)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X159),X159)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X159)
| p(f(X159),X159)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X160,X161)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X160,X161)
| ~ p(X160,X161)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0
| epred13_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_679])])])])]) ).
fof(c_0_686,negated_conjecture,
! [X11,X13] :
( ( ~ p1(X11)
| q1(X11)
| ~ epred13_0 )
& ( ~ q1(esk1_0)
| r1(esk1_0)
| ~ epred13_0 )
& ( p1(X13)
| ~ epred13_0 )
& ( ~ r1(X13)
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_680])])])])]) ).
cnf(c_0_687,plain,
( epred12_0
| q1(X1)
| ~ a0
| ~ b0
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_681]) ).
cnf(c_0_688,plain,
( epred12_0
| a0 ),
inference(spm,[status(thm)],[c_0_682,c_0_683]) ).
cnf(c_0_689,plain,
( epred12_0
| b0 ),
inference(spm,[status(thm)],[c_0_682,c_0_684]) ).
cnf(c_0_690,plain,
( p(f(X1),X1)
| s1(esk61_0)
| epred13_0
| ~ r1(X1)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_691,negated_conjecture,
( ~ r1(X1)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_692,plain,
( p(X3,X4)
| epred13_0
| ~ q(X1,X2)
| ~ p(X1,X2)
| ~ s1(esk61_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_693,plain,
( s1(esk61_0)
| epred13_0
| ~ q(X1,X2)
| ~ p(X1,X2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_694,plain,
( epred12_0
| q1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_687,c_0_677])]),c_0_688]),c_0_689]) ).
cnf(c_0_695,plain,
( p(f(X1),X1)
| p(X2,X3)
| epred13_0
| ~ r1(X1)
| ~ s1(esk61_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_696,plain,
( p(f(X1),X1)
| s1(esk61_0)
| ~ epred12_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[c_0_690,c_0_691]) ).
cnf(c_0_697,plain,
( r1(esk63_0)
| p(f(X1),X1)
| p(X2,X3)
| epred13_0
| ~ s1(esk61_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_698,plain,
( r1(esk63_0)
| p(f(X1),X1)
| s1(esk61_0)
| epred13_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_699,plain,
( epred13_0
| p(X1,X2)
| ~ epred12_0
| ~ p(X3,X4)
| ~ q(X3,X4) ),
inference(csr,[status(thm)],[c_0_692,c_0_693]) ).
cnf(c_0_700,plain,
epred12_0,
inference(spm,[status(thm)],[c_0_682,c_0_694]) ).
cnf(c_0_701,plain,
( p(f(X1),X1)
| p(X2,X3)
| ~ epred12_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_695,c_0_696]),c_0_691]) ).
cnf(c_0_702,plain,
( q(f(esk63_0),esk63_0)
| p(X3,X4)
| epred13_0
| ~ p(X1,X2)
| ~ s1(esk61_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_703,plain,
( q(f(esk63_0),esk63_0)
| s1(esk61_0)
| epred13_0
| ~ p(X1,X2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_704,plain,
( epred13_0
| p(f(X1),X1)
| p(X2,X3)
| r1(esk63_0)
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_697,c_0_698]) ).
cnf(c_0_705,plain,
( epred13_0
| ~ q(X1,X2)
| ~ p(X1,X2)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_706,plain,
( epred13_0
| p(X1,X2)
| ~ p(X3,X4)
| ~ q(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_699,c_0_700])]) ).
cnf(c_0_707,plain,
( p(f(X1),X1)
| p(X2,X3)
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_701,c_0_700])]) ).
cnf(c_0_708,plain,
( q(f(esk63_0),esk63_0)
| r1(esk62_0)
| epred13_0
| ~ p(X1,X2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_709,plain,
( epred13_0
| p(X1,X2)
| q(f(esk63_0),esk63_0)
| ~ epred12_0
| ~ p(X3,X4) ),
inference(csr,[status(thm)],[c_0_702,c_0_703]) ).
cnf(c_0_710,plain,
( epred13_0
| p(f(X1),X1)
| p(X2,X3)
| r1(esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_704,c_0_700])]) ).
cnf(c_0_711,plain,
( epred13_0
| ~ p(X1,X2)
| ~ q(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_705,c_0_700])]),c_0_706]) ).
cnf(c_0_712,plain,
( p(f(X1),X1)
| ~ r1(X1) ),
inference(ef,[status(thm)],[c_0_707]) ).
cnf(c_0_713,plain,
( epred13_0
| q(f(esk63_0),esk63_0)
| r1(esk62_0)
| ~ p(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_708,c_0_700])]) ).
cnf(c_0_714,plain,
( epred13_0
| p(X1,X2)
| q(f(esk63_0),esk63_0)
| ~ p(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_709,c_0_700])]) ).
cnf(c_0_715,plain,
( epred13_0
| p(f(X1),X1)
| r1(esk63_0) ),
inference(ef,[status(thm)],[c_0_710]) ).
cnf(c_0_716,plain,
( ~ q(f(X1),X1)
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_712]),c_0_691]) ).
cnf(c_0_717,plain,
( q(f(esk63_0),esk63_0)
| r1(esk62_0)
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_712]),c_0_691]) ).
cnf(c_0_718,plain,
( p(X1,X2)
| q(f(esk63_0),esk63_0)
| ~ r1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_712]),c_0_691]) ).
cnf(c_0_719,plain,
( epred13_0
| r1(esk63_0)
| ~ q(f(X1),X1) ),
inference(spm,[status(thm)],[c_0_711,c_0_715]) ).
cnf(c_0_720,plain,
( r1(esk62_0)
| ~ r1(esk63_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_716,c_0_717]) ).
cnf(c_0_721,plain,
( p(X1,X2)
| ~ r1(esk63_0)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_716,c_0_718]) ).
cnf(c_0_722,plain,
( r1(esk62_0)
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_717]),c_0_720]),c_0_691]) ).
cnf(c_0_723,plain,
( q(f(esk63_0),esk63_0)
| epred13_0
| ~ p(X1,X2)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_685]) ).
cnf(c_0_724,plain,
( p(X1,X2)
| ~ r1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_718]),c_0_721]),c_0_691]) ).
cnf(c_0_725,plain,
( epred13_0
| q(f(esk63_0),esk63_0)
| r1(esk62_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_715]),c_0_722]) ).
cnf(c_0_726,plain,
( epred13_0
| q(f(esk63_0),esk63_0)
| ~ p(esk61_0,esk62_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_723,c_0_700])]),c_0_714]) ).
cnf(c_0_727,plain,
( ~ q(X1,X2)
| ~ r1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_724]),c_0_691]) ).
cnf(c_0_728,plain,
( epred13_0
| r1(esk62_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_725]),c_0_722]) ).
cnf(c_0_729,plain,
~ r1(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_724]),c_0_727]),c_0_691]) ).
cnf(c_0_730,negated_conjecture,
( q1(X1)
| ~ p1(X1)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_731,negated_conjecture,
( p1(X1)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_732,negated_conjecture,
( r1(esk1_0)
| ~ q1(esk1_0)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_686]) ).
cnf(c_0_733,plain,
epred13_0,
inference(sr,[status(thm)],[c_0_728,c_0_729]) ).
cnf(c_0_734,negated_conjecture,
( q1(X1)
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_730,c_0_731]) ).
cnf(c_0_735,negated_conjecture,
~ q1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_732,c_0_733])]),c_0_729]) ).
cnf(c_0_736,negated_conjecture,
q1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_734,c_0_733])]) ).
cnf(c_0_737,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_735,c_0_736])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN938+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 19:01:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.52 start to proof: theBenchmark
% 0.88/0.93 % Version : CSE_E---1.5
% 0.88/0.93 % Problem : theBenchmark.p
% 0.88/0.93 % Proof found
% 0.88/0.93 % SZS status Theorem for theBenchmark.p
% 0.88/0.93 % SZS output start Proof
% See solution above
% 0.88/0.98 % Total time : 0.402000 s
% 0.88/0.98 % SZS output end Proof
% 0.88/0.98 % Total time : 0.407000 s
%------------------------------------------------------------------------------