%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN938+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 : Tue May 5 05:50:56 PM UTC 2026
% Result : Theorem 1.63s 1.85s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
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,
! [X157,X158,X159,X162,X163,X164,X167,X168] :
( ( q1(f(esk6_0))
| q1(f(X162))
| q1(f(X157))
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| q1(f(X162))
| q1(f(X157))
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| q1(f(X157))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| q1(f(X157))
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X164))
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| q1(f(X157))
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X162))
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| q1(f(X162))
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| p1(f(X159))
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X162))
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| q1(f(X162))
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| r1(X159)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| q1(f(X162))
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| p1(f(X164))
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| r1(X164)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( q1(f(esk6_0))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( p1(f(X168))
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( r1(X168)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| epred1_0 )
& ( ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X167)
| ~ q1(X167)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X163)
| ~ q1(X163)
| ~ r1(esk3_0)
| ~ r1(esk2_0)
| ~ p1(X158)
| ~ q1(X158)
| 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(esk6_0))
| q1(f(X1))
| q1(f(X2))
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( epred1_0
| q1(f(esk6_0))
| q1(f(X1)) ),
inference(ef,[status(thm)],[c_0_4]) ).
cnf(c_0_6,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_7,plain,
( epred1_0
| q1(f(esk6_0)) ),
inference(ef,[status(thm)],[c_0_5]) ).
cnf(c_0_8,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_9,plain,
( epred1_0
| p1(f(X1))
| q1(f(X2))
| q1(f(X3)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| p1(f(X3))
| p1(f(X1))
| ~ q1(X4)
| ~ q1(X5) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,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_12,plain,
( epred1_0
| p1(f(X1))
| q1(f(X2)) ),
inference(ef,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( epred1_0
| r1(X1)
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| ~ q1(X4) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_14,plain,
( epred1_0
| r1(X1)
| q1(f(X2))
| q1(f(X3))
| q1(f(X4))
| ~ q1(f(X5)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,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_16,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_17,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| p1(f(X3))
| p1(f(X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_18,plain,
( epred1_0
| r1(X1)
| q1(f(X2))
| q1(f(X3))
| q1(f(X4)) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_19,plain,
( r1(X3)
| epred1_0
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X1)
| ~ q1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X2)
| ~ q1(X2)
| ~ p1(X4)
| ~ q1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,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_15,c_0_16]),c_0_16]) ).
cnf(c_0_21,plain,
( epred1_0
| r1(X1)
| p1(f(X1))
| p1(f(X2)) ),
inference(ef,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( epred1_0
| r1(X1)
| q1(f(X2))
| q1(f(X3)) ),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( epred1_0
| r1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ q1(X2)
| ~ q1(X3)
| ~ q1(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_19,c_0_20]),c_0_20]),c_0_20]),c_0_20]) ).
cnf(c_0_24,plain,
( epred1_0
| r1(X1)
| p1(f(X1)) ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( epred1_0
| r1(X1)
| q1(f(X2)) ),
inference(ef,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( epred1_0
| r1(X1)
| r1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ q1(X3)
| ~ q1(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,plain,
( epred1_0
| r1(X1)
| r1(X2)
| r1(X3)
| ~ p1(X4)
| ~ q1(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
( epred1_0
| r1(X1)
| r1(X2)
| r1(X3)
| r1(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_25]) ).
cnf(c_0_29,plain,
( epred1_0
| r1(X1)
| r1(X2)
| r1(X3) ),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_30,plain,
( epred1_0
| r1(X1)
| r1(X2) ),
inference(ef,[status(thm)],[c_0_29]) ).
cnf(c_0_31,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_32,plain,
( epred1_0
| r1(X1) ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_33,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| ~ p1(X3)
| ~ q1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).
cnf(c_0_34,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| q1(f(X3))
| ~ q1(f(X4)) ),
inference(spm,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_35,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| q1(f(X3)) ),
inference(spm,[status(thm)],[c_0_34,c_0_7]) ).
cnf(c_0_36,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_37,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2)) ),
inference(ef,[status(thm)],[c_0_35]) ).
cnf(c_0_38,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| ~ q1(X4)
| ~ q1(X5)
| ~ q1(X6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_32]) ).
cnf(c_0_39,plain,
( epred1_0
| q1(f(X1)) ),
inference(ef,[status(thm)],[c_0_37]) ).
cnf(c_0_40,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| ~ q1(X4)
| ~ q1(X5) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3))
| ~ q1(X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_42,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| p1(f(X3)) ),
inference(spm,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_43,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_44,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2)) ),
inference(ef,[status(thm)],[c_0_42]) ).
fof(c_0_45,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_46,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_43,c_0_32]),c_0_32]),c_0_32]),c_0_32]),c_0_32]),c_0_32]) ).
cnf(c_0_47,plain,
( epred1_0
| p1(f(X1)) ),
inference(ef,[status(thm)],[c_0_44]) ).
fof(c_0_48,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_45]),c_0_1]) ).
cnf(c_0_49,plain,
( epred1_0
| ~ p1(X1)
| ~ p1(X2)
| ~ q1(X1)
| ~ q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_39]) ).
fof(c_0_50,plain,
! [X169,X171,X173,X174,X175,X176,X177] :
( ( p1(esk9_0)
| ~ a1(X169)
| b(X169)
| c(X169)
| ~ epred1_0
| epred2_0 )
& ( e(esk9_0)
| ~ a1(X169)
| b(X169)
| c(X169)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X173)
| g(X173)
| s(X173,f(X173))
| ~ a1(X169)
| b(X169)
| c(X169)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X174)
| g(X174)
| c(f(X174))
| ~ a1(X169)
| b(X169)
| c(X169)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X177)
| p1(X177)
| ~ a1(X169)
| b(X169)
| c(X169)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X175)
| ~ g(X175)
| ~ a1(X169)
| b(X169)
| c(X169)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X176)
| ~ c(X176)
| ~ a1(X169)
| b(X169)
| c(X169)
| ~ 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(X173)
| g(X173)
| s(X173,f(X173))
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X174)
| g(X174)
| c(f(X174))
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X177)
| p1(X177)
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X175)
| ~ g(X175)
| a1(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X176)
| ~ c(X176)
| 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(X173)
| g(X173)
| s(X173,f(X173))
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X174)
| g(X174)
| c(f(X174))
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X177)
| p1(X177)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X175)
| ~ g(X175)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X176)
| ~ c(X176)
| ~ b(esk8_0)
| ~ epred1_0
| epred2_0 )
& ( p1(esk9_0)
| ~ a1(X171)
| ~ c(X171)
| ~ epred1_0
| epred2_0 )
& ( e(esk9_0)
| ~ a1(X171)
| ~ c(X171)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X173)
| g(X173)
| s(X173,f(X173))
| ~ a1(X171)
| ~ c(X171)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X174)
| g(X174)
| c(f(X174))
| ~ a1(X171)
| ~ c(X171)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk9_0,X177)
| p1(X177)
| ~ a1(X171)
| ~ c(X171)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X175)
| ~ g(X175)
| ~ a1(X171)
| ~ c(X171)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X176)
| ~ c(X176)
| ~ a1(X171)
| ~ c(X171)
| ~ 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_48])])])])]) ).
cnf(c_0_51,plain,
( epred1_0
| ~ p1(X1)
| ~ q1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_39]) ).
cnf(c_0_52,plain,
( p1(esk9_0)
| b(X1)
| c(X1)
| epred2_0
| ~ a1(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_53,plain,
( p1(esk9_0)
| epred2_0
| ~ a1(X1)
| ~ c(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( g(X1)
| c(f(X1))
| a1(esk8_0)
| epred2_0
| ~ e(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_39]),c_0_47]) ).
cnf(c_0_56,plain,
( e(esk9_0)
| a1(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
( epred2_0
| b(X1)
| p1(esk9_0)
| ~ epred1_0
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,plain,
( p1(esk9_0)
| a1(esk8_0)
| epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,plain,
( p1(esk9_0)
| epred2_0
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,plain,
( a1(esk8_0)
| epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
( epred2_0
| g(X1)
| c(f(X1))
| a1(esk8_0)
| ~ e(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_62,plain,
( epred2_0
| e(esk9_0)
| a1(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_55])]) ).
cnf(c_0_63,plain,
( epred2_0
| b(X1)
| p1(esk9_0)
| ~ a1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_55])]) ).
cnf(c_0_64,plain,
( epred2_0
| a1(esk8_0)
| p1(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_55])]) ).
cnf(c_0_65,plain,
( epred2_0
| p1(esk9_0)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_55])]) ).
cnf(c_0_66,plain,
( g(X1)
| s(X1,f(X1))
| a1(esk8_0)
| epred2_0
| ~ e(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_67,plain,
( a1(esk8_0)
| epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_68,plain,
( epred2_0
| a1(esk8_0)
| ~ g(X1)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_55])]) ).
cnf(c_0_69,plain,
( epred2_0
| g(esk9_0)
| c(f(esk9_0))
| a1(esk8_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( epred2_0
| p1(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_71,plain,
( p1(X1)
| a1(esk8_0)
| epred2_0
| ~ s(esk9_0,X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_72,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| a1(esk8_0)
| ~ e(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_55])]) ).
cnf(c_0_73,plain,
( epred2_0
| a1(esk8_0)
| ~ c(X1)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_55])]) ).
cnf(c_0_74,plain,
( epred2_0
| c(f(esk9_0))
| a1(esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_75,plain,
( e(esk9_0)
| b(X1)
| c(X1)
| epred2_0
| ~ a1(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_76,plain,
( e(esk9_0)
| epred2_0
| ~ a1(X1)
| ~ c(X1)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77,plain,
( epred2_0
| a1(esk8_0)
| p1(X1)
| ~ s(esk9_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_55])]) ).
cnf(c_0_78,plain,
( epred2_0
| s(esk9_0,f(esk9_0))
| g(esk9_0)
| a1(esk8_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_62]) ).
cnf(c_0_79,plain,
( epred2_0
| a1(esk8_0)
| ~ p1(f(esk9_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,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_50]) ).
cnf(c_0_81,plain,
( g(X1)
| c(f(X1))
| epred2_0
| ~ e(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_82,plain,
( epred2_0
| e(esk9_0)
| b(X1)
| ~ epred1_0
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( epred2_0
| g(esk9_0)
| a1(esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_84,plain,
( e(esk9_0)
| epred2_0
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_85,plain,
( epred2_0
| g(X1)
| c(f(X1))
| b(X2)
| ~ epred1_0
| ~ e(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
( epred2_0
| e(esk9_0)
| b(X1)
| ~ a1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_55])]) ).
cnf(c_0_87,plain,
( epred2_0
| a1(esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_83]),c_0_70]) ).
cnf(c_0_88,plain,
( epred2_0
| e(esk9_0)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_55])]) ).
cnf(c_0_89,plain,
( b(X2)
| c(X2)
| epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_90,plain,
( epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_91,plain,
( epred2_0
| g(X1)
| c(f(X1))
| b(X2)
| ~ e(X1)
| ~ a1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_55])]) ).
cnf(c_0_92,plain,
( epred2_0
| e(esk9_0) ),
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))
| b(X2)
| c(X2)
| epred2_0
| ~ e(X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_94,plain,
( g(X1)
| s(X1,f(X1))
| epred2_0
| ~ e(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_95,plain,
( epred2_0
| b(X1)
| ~ epred1_0
| ~ g(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
( epred2_0
| g(esk9_0)
| c(f(esk9_0))
| b(X1)
| ~ a1(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| b(X2)
| ~ epred1_0
| ~ e(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
( b(X2)
| c(X2)
| epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_99,plain,
( epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_100,plain,
( epred2_0
| b(X1)
| ~ g(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_55])]) ).
cnf(c_0_101,plain,
( epred2_0
| g(esk9_0)
| c(f(esk9_0))
| b(esk8_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_87]) ).
cnf(c_0_102,plain,
( p1(X1)
| b(X2)
| c(X2)
| epred2_0
| ~ s(esk9_0,X1)
| ~ a1(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_103,plain,
( p1(X1)
| epred2_0
| ~ s(esk9_0,X1)
| ~ a1(X2)
| ~ c(X2)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_104,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_97,c_0_55])]) ).
cnf(c_0_105,plain,
( epred2_0
| b(X1)
| ~ epred1_0
| ~ c(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,plain,
( epred2_0
| c(f(esk9_0))
| b(esk8_0)
| b(X1)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_70]) ).
cnf(c_0_107,plain,
( epred2_0
| b(X1)
| p1(X2)
| ~ epred1_0
| ~ s(esk9_0,X2)
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( epred2_0
| s(esk9_0,f(esk9_0))
| g(esk9_0)
| b(X1)
| ~ a1(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_92]) ).
cnf(c_0_109,plain,
( epred2_0
| b(X1)
| ~ c(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_55])]) ).
cnf(c_0_110,plain,
( epred2_0
| c(f(esk9_0))
| b(esk8_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_87]) ).
cnf(c_0_111,plain,
( epred2_0
| b(X1)
| p1(X2)
| ~ s(esk9_0,X2)
| ~ a1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_55])]) ).
cnf(c_0_112,plain,
( epred2_0
| s(esk9_0,f(esk9_0))
| g(esk9_0)
| b(esk8_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_87]) ).
cnf(c_0_113,plain,
( epred2_0
| b(esk8_0)
| b(X1)
| ~ a1(X1)
| ~ p1(f(esk9_0)) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,plain,
( epred2_0
| g(esk9_0)
| b(esk8_0)
| b(X1)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_115,plain,
( epred2_0
| g(esk9_0)
| b(esk8_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_87]) ).
cnf(c_0_116,plain,
( g(X1)
| c(f(X1))
| epred2_0
| ~ e(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_117,plain,
( epred2_0
| b(esk8_0)
| b(X1)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_115]),c_0_70]) ).
cnf(c_0_118,plain,
( epred2_0
| g(X1)
| c(f(X1))
| ~ e(X1)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_55])]) ).
cnf(c_0_119,plain,
( epred2_0
| b(esk8_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_87]) ).
cnf(c_0_120,plain,
( g(X1)
| s(X1,f(X1))
| epred2_0
| ~ e(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_121,plain,
( epred2_0
| ~ p1(X1)
| ~ g(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_122,plain,
( epred2_0
| g(X1)
| c(f(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_123,plain,
( p1(X1)
| epred2_0
| ~ s(esk9_0,X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_124,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| ~ e(X1)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_55])]) ).
cnf(c_0_125,plain,
( epred2_0
| ~ p1(X1)
| ~ c(X1)
| ~ b(esk8_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_126,plain,
( epred2_0
| ~ g(X1)
| ~ b(esk8_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_55])]) ).
cnf(c_0_127,plain,
( epred2_0
| g(esk9_0)
| c(f(esk9_0)) ),
inference(spm,[status(thm)],[c_0_122,c_0_92]) ).
fof(c_0_128,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_129,plain,
( epred2_0
| p1(X1)
| ~ s(esk9_0,X1)
| ~ b(esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_55])]) ).
cnf(c_0_130,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_119]) ).
cnf(c_0_131,plain,
( epred2_0
| ~ c(X1)
| ~ b(esk8_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_55])]) ).
cnf(c_0_132,plain,
( epred2_0
| c(f(esk9_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_70]),c_0_119]) ).
fof(c_0_133,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_128]),c_0_45]) ).
cnf(c_0_134,plain,
( epred2_0
| p1(X1)
| ~ s(esk9_0,X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_119]) ).
cnf(c_0_135,plain,
( epred2_0
| s(esk9_0,f(esk9_0))
| g(esk9_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_92]) ).
cnf(c_0_136,plain,
( epred2_0
| ~ p1(f(esk9_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_119]) ).
fof(c_0_137,plain,
! [X181,X182,X183,X184,X185,X186,X189,X192] :
( ( p1(X189)
| p1(X186)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X186)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X186)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| p1(X186)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| ~ 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(X192)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk10_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| p1(X186)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X186)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X186)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| p1(X186)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| ~ 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(X192)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| s1(esk11_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| p1(X186)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X186)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X186)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| p1(X186)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| ~ 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(X192)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| r(esk11_0,esk12_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| p1(X186)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X186)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X186)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| p1(X186)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X181)
| p1(X181)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| p1(X186)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X186)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X186)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| p1(X186)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X182,X183)
| q(X182,X183)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| p1(X186)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| p1(X186)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| p1(X186)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| p1(X186)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ epred2_0
| epred3_0 )
& ( p1(X189)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ epred2_0
| epred3_0 )
& ( q1(esk15_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk16_0)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X192)
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X184)
| ~ q(X184,X185)
| ~ 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_133])])])])])]) ).
cnf(c_0_138,plain,
( epred2_0
| g(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_139,plain,
( p1(X1)
| p1(X2)
| epred3_0
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ s1(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_140,plain,
( p1(X1)
| p1(X2)
| p1(X3)
| epred3_0
| ~ s1(X3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_141,plain,
( p1(X1)
| s1(esk11_0)
| epred3_0
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_142,plain,
( p1(X1)
| p1(X2)
| s1(esk11_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_143,plain,
( p1(X1)
| p1(X2)
| q(X3,X4)
| epred3_0
| ~ r(X3,X4)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_144,plain,
epred2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_138]),c_0_70]),c_0_119]) ).
cnf(c_0_145,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ epred2_0
| ~ s1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_139,c_0_140]),c_0_140]) ).
cnf(c_0_146,plain,
( epred3_0
| s1(esk11_0)
| p1(X1)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_141,c_0_142]),c_0_142]) ).
cnf(c_0_147,plain,
( p1(X1)
| q(X2,X3)
| epred3_0
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ r(X2,X3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_148,plain,
( epred3_0
| q(X1,X2)
| p1(X3)
| p1(X4)
| ~ r(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]) ).
cnf(c_0_149,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_137]) ).
cnf(c_0_150,plain,
( p1(X1)
| p1(X2)
| r(esk11_0,esk12_0)
| epred3_0
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_151,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ s1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_144])]) ).
cnf(c_0_152,plain,
( epred3_0
| s1(esk11_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_144])]) ).
cnf(c_0_153,plain,
( p1(X1)
| p1(X2)
| epred3_0
| ~ p1(X3)
| ~ q(X3,X4)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_154,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_137]) ).
cnf(c_0_155,plain,
( epred3_0
| q(X1,X2)
| p1(X3)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_144])]),c_0_148]),c_0_148]) ).
cnf(c_0_156,plain,
( epred3_0
| r(esk11_0,esk12_0)
| p1(X1)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_149,c_0_150]),c_0_150]) ).
cnf(c_0_157,plain,
( epred3_0
| p1(esk11_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_158,plain,
( p1(X1)
| epred3_0
| ~ p1(esk13_0)
| ~ p1(esk14_0)
| ~ p1(X2)
| ~ q(X2,X3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_159,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ q(X3,X4)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_144])]) ).
cnf(c_0_160,plain,
( epred3_0
| q(X1,X2)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_144])]),c_0_155]),c_0_155]),c_0_155]) ).
cnf(c_0_161,plain,
( epred3_0
| r(esk11_0,esk12_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_144])]) ).
cnf(c_0_162,plain,
( epred3_0
| p1(esk11_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_157]) ).
cnf(c_0_163,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_137]) ).
cnf(c_0_164,plain,
( p1(X1)
| r(esk11_0,esk12_0)
| epred3_0
| ~ p1(esk16_0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_165,plain,
( epred3_0
| p1(X1)
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_144])]),c_0_159]),c_0_159]) ).
cnf(c_0_166,plain,
( epred3_0
| q(esk11_0,esk12_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,plain,
( epred3_0
| p1(esk11_0) ),
inference(ef,[status(thm)],[c_0_162]) ).
fof(c_0_168,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_169,plain,
( epred3_0
| r(esk11_0,esk12_0)
| ~ epred2_0
| ~ p1(esk16_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_163,c_0_164]),c_0_164]) ).
cnf(c_0_170,plain,
( epred3_0
| p1(X1)
| p1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).
fof(c_0_171,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_168]),c_0_128]) ).
cnf(c_0_172,plain,
( p1(X1)
| epred3_0
| ~ p1(esk16_0)
| ~ p1(X2)
| ~ q(X2,X3)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_173,plain,
( epred3_0
| r(esk11_0,esk12_0)
| ~ p1(esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_144])]) ).
cnf(c_0_174,plain,
( epred3_0
| p1(X1) ),
inference(ef,[status(thm)],[c_0_170]) ).
fof(c_0_175,plain,
! [X193,X196,X197,X199,X203,X204,X205,X206,X207] :
( ( s1(esk20_0)
| a(X197,esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X197,esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X197,esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(X197,esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(X197,esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(X197,esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X197),esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X197),esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X197),esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(esk19_1(X197),esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(esk19_1(X197),esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(esk19_1(X197),esk19_1(X197))
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X199,X199)
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X199,X199)
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X199,X199)
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| ~ a(X199,X199)
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| ~ a(X199,X199)
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| ~ a(X199,X199)
| p1(X193)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(X197,esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X197,esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X197,esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(X197,esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(X197,esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(X197,esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X197),esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X197),esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X197),esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(esk19_1(X197),esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(esk19_1(X197),esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(esk19_1(X197),esk19_1(X197))
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X199,X199)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X199,X199)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X199,X199)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| ~ a(X199,X199)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| ~ a(X199,X199)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| ~ a(X199,X199)
| q1(esk17_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(X197,esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X197,esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X197,esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(X197,esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(X197,esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(X197,esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X197),esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X197),esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X197),esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(esk19_1(X197),esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(esk19_1(X197),esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(esk19_1(X197),esk19_1(X197))
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X199,X199)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X199,X199)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X199,X199)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| ~ a(X199,X199)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| ~ a(X199,X199)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| ~ a(X199,X199)
| ~ p1(esk18_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(X197,esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(X197,esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(X197,esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(X197,esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(X197,esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(X197,esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| a(esk19_1(X197),esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| a(esk19_1(X197),esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| a(esk19_1(X197),esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| a(esk19_1(X197),esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| a(esk19_1(X197),esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| a(esk19_1(X197),esk19_1(X197))
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( s1(esk20_0)
| ~ a(X199,X199)
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( s1(esk21_0)
| ~ a(X199,X199)
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( r(esk21_0,esk22_0)
| ~ a(X199,X199)
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X203)
| p1(X203)
| ~ a(X199,X199)
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X204,X205)
| q(X204,X205)
| ~ a(X199,X199)
| ~ r1(X196)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X206)
| ~ q(X206,X207)
| ~ a(X199,X199)
| ~ r1(X196)
| ~ 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_171])])])])])]) ).
cnf(c_0_176,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_137]) ).
cnf(c_0_177,plain,
( epred3_0
| p1(X1)
| ~ q(X2,X3)
| ~ p1(esk16_0)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_144])]) ).
cnf(c_0_178,plain,
( epred3_0
| r(esk11_0,esk12_0) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_179,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_175]) ).
cnf(c_0_180,plain,
( p1(X1)
| p1(X3)
| epred4_0
| ~ s1(X1)
| ~ a(X2,X2)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_181,plain,
( epred3_0
| ~ q(X1,X2)
| ~ p1(esk16_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_144])]),c_0_177]),c_0_177]) ).
cnf(c_0_182,plain,
( epred3_0
| q(esk11_0,esk12_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_178]) ).
cnf(c_0_183,plain,
( s1(esk21_0)
| a(esk19_1(X1),esk19_1(X1))
| p1(X2)
| epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_184,plain,
( s1(esk21_0)
| p1(X2)
| epred4_0
| ~ a(X1,X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
fof(c_0_185,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_186,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_175]) ).
cnf(c_0_187,plain,
( q(X1,X2)
| p1(X4)
| epred4_0
| ~ r(X1,X2)
| ~ a(X3,X3)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_188,plain,
( epred4_0
| p1(X1)
| p1(X2)
| ~ epred3_0
| ~ s1(X1) ),
inference(csr,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_189,plain,
epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_174]),c_0_174]) ).
cnf(c_0_190,plain,
( epred4_0
| s1(esk21_0)
| p1(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_183,c_0_184]) ).
fof(c_0_191,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_185]),c_0_168]) ).
cnf(c_0_192,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_175]) ).
cnf(c_0_193,plain,
( q(X1,X2)
| epred4_0
| ~ r(X1,X2)
| ~ a(X3,X3)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_194,plain,
( epred4_0
| q(X1,X2)
| p1(X3)
| ~ epred3_0
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_195,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_175]) ).
cnf(c_0_196,plain,
( r(esk21_0,esk22_0)
| p1(X2)
| epred4_0
| ~ a(X1,X1)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_197,plain,
( epred4_0
| p1(X1)
| p1(X2)
| ~ s1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189])]) ).
cnf(c_0_198,plain,
( epred4_0
| s1(esk21_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_189])]) ).
fof(c_0_199,plain,
! [X210,X211,X213,X214,X215] :
( ( p1(X214)
| p1(esk25_0)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| p1(esk25_0)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| a0
| ~ p1(X213)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| a0
| ~ p1(X213)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| ~ b0
| ~ p1(X213)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| ~ b0
| ~ p1(X213)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| b0
| ~ p1(X213)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| b0
| ~ p1(X213)
| ~ q1(X210)
| p1(X210)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| p1(esk25_0)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| p1(esk25_0)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| a0
| ~ p1(X213)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| a0
| ~ p1(X213)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| ~ b0
| ~ p1(X213)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| ~ b0
| ~ p1(X213)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| b0
| ~ p1(X213)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| b0
| ~ p1(X213)
| q1(X211)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| p1(esk25_0)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| p1(esk25_0)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| a0
| ~ p1(X213)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| a0
| ~ p1(X213)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| ~ b0
| ~ p1(X213)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| ~ b0
| ~ p1(X213)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| b0
| ~ p1(X213)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| b0
| ~ p1(X213)
| ~ p1(esk24_0)
| p1(X211)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| p1(esk25_0)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| p1(esk25_0)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| a0
| ~ p1(X213)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| a0
| ~ p1(X213)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| ~ b0
| ~ p1(X213)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| ~ b0
| ~ p1(X213)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| b0
| ~ p1(X213)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| b0
| ~ p1(X213)
| q1(X211)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| p1(esk25_0)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| p1(esk25_0)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| a0
| ~ p1(X213)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| a0
| ~ p1(X213)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| ~ b0
| ~ p1(X213)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| ~ b0
| ~ p1(X213)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( p1(X214)
| b0
| ~ p1(X213)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0
| epred5_0 )
& ( ~ p1(X215)
| b0
| ~ p1(X213)
| ~ 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_191])])])])]) ).
cnf(c_0_200,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_175]) ).
cnf(c_0_201,plain,
( p1(X4)
| epred4_0
| ~ p1(X1)
| ~ q(X1,X2)
| ~ a(X3,X3)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_202,plain,
( epred4_0
| q(X1,X2)
| ~ epred3_0
| ~ r(X1,X2)
| ~ p1(esk18_0) ),
inference(csr,[status(thm)],[c_0_192,c_0_193]) ).
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_194,c_0_189])]) ).
cnf(c_0_204,plain,
( epred4_0
| r(esk21_0,esk22_0)
| p1(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_205,plain,
( epred4_0
| p1(esk21_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_206,plain,
( b0
| p1(X3)
| epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_207,plain,
( p1(X3)
| epred5_0
| ~ p1(X1)
| ~ b0
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_208,plain,
( epred4_0
| p1(X1)
| ~ epred3_0
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_209,plain,
( epred4_0
| q(X1,X2)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_189])]),c_0_203]) ).
cnf(c_0_210,plain,
( epred4_0
| r(esk21_0,esk22_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_189])]) ).
cnf(c_0_211,plain,
( epred4_0
| p1(esk21_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_205]) ).
cnf(c_0_212,plain,
( q1(X3)
| p1(X3)
| epred5_0
| ~ p1(X1)
| ~ b0
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_213,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2)
| ~ p1(X3)
| ~ q1(X1) ),
inference(csr,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_214,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_175]) ).
cnf(c_0_215,plain,
( r(esk21_0,esk22_0)
| epred4_0
| ~ a(X1,X1)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_216,plain,
( epred4_0
| p1(X1)
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_189])]) ).
cnf(c_0_217,plain,
( epred4_0
| q(esk21_0,esk22_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_218,plain,
( epred4_0
| p1(esk21_0) ),
inference(ef,[status(thm)],[c_0_211]) ).
cnf(c_0_219,plain,
( b0
| q1(X3)
| p1(X3)
| epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_220,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ b0
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_221,plain,
( p1(X1)
| p1(X3)
| epred5_0
| ~ b0
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
fof(c_0_222,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_223,plain,
( epred4_0
| r(esk21_0,esk22_0)
| ~ epred3_0
| ~ p1(esk18_0) ),
inference(csr,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_224,plain,
( epred4_0
| p1(X1)
| p1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_225,plain,
( p1(esk25_0)
| q1(X2)
| p1(X2)
| epred5_0
| ~ p1(X1)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_226,plain,
( p1(esk25_0)
| p1(X2)
| epred5_0
| ~ p1(X1)
| ~ q1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_227,plain,
( p1(X1)
| b0
| p1(X3)
| epred5_0
| ~ p1(X2)
| ~ q1(X3)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_228,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_219,c_0_213]),c_0_220]) ).
cnf(c_0_229,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ b0
| ~ p1(X2)
| ~ q1(X1) ),
inference(csr,[status(thm)],[c_0_221,c_0_220]) ).
fof(c_0_230,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_222]),c_0_185]) ).
cnf(c_0_231,plain,
( b0
| epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_232,plain,
( epred5_0
| ~ p1(X1)
| ~ b0
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_233,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_175]) ).
cnf(c_0_234,plain,
( epred4_0
| ~ p1(X1)
| ~ q(X1,X2)
| ~ a(X3,X3)
| ~ p1(esk18_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_235,plain,
( epred4_0
| r(esk21_0,esk22_0)
| ~ p1(esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_189])]) ).
cnf(c_0_236,plain,
( epred4_0
| p1(X1) ),
inference(ef,[status(thm)],[c_0_224]) ).
cnf(c_0_237,plain,
( p1(X1)
| p1(esk25_0)
| p1(X2)
| epred5_0
| ~ q1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_238,plain,
( epred5_0
| p1(esk25_0)
| p1(X1)
| ~ epred4_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_239,plain,
( p1(X1)
| q1(X3)
| p1(X3)
| epred5_0
| ~ b0
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_240,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2)
| ~ q1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_227,c_0_228]),c_0_229]) ).
fof(c_0_241,plain,
! [X216,X217,X221,X222,X223,X225] :
( ( ~ a1(X223)
| b(X223)
| ~ q1(X221)
| p1(X221)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ q1(X221)
| p1(X221)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ q1(X221)
| p1(X221)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| q1(X222)
| p1(X222)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X222)
| p1(X222)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| q1(X222)
| p1(X222)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ p1(esk28_0)
| p1(X222)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| p1(X222)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ p1(esk28_0)
| p1(X222)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| q1(X222)
| ~ p1(esk27_0)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X222)
| ~ p1(esk27_0)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| q1(X222)
| ~ p1(esk27_0)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X216)
| q1(X216)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ q1(X221)
| p1(X221)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ q1(X221)
| p1(X221)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ q1(X221)
| p1(X221)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| q1(X222)
| p1(X222)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X222)
| p1(X222)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| q1(X222)
| p1(X222)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ p1(esk28_0)
| p1(X222)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| p1(X222)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ p1(esk28_0)
| p1(X222)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| q1(X222)
| ~ p1(esk27_0)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X222)
| ~ p1(esk27_0)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| q1(X222)
| ~ p1(esk27_0)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| p1(X217)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ q1(X221)
| p1(X221)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ q1(X221)
| p1(X221)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ q1(X221)
| p1(X221)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| q1(X222)
| p1(X222)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X222)
| p1(X222)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| q1(X222)
| p1(X222)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ p1(esk28_0)
| p1(X222)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| ~ p1(esk28_0)
| p1(X222)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| ~ p1(esk28_0)
| p1(X222)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| q1(X222)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( a1(esk29_0)
| q1(X222)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ b(X225)
| q1(X222)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0
| epred6_0 )
& ( ~ a1(X223)
| b(X223)
| ~ 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(X225)
| ~ 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_230])])])])]) ).
cnf(c_0_242,plain,
( p1(X1)
| epred5_0
| ~ b0
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_243,plain,
( epred5_0
| ~ epred4_0
| ~ p1(esk23_0)
| ~ p1(esk24_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_244,plain,
( epred4_0
| ~ epred3_0
| ~ q(X1,X2)
| ~ p1(esk18_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_245,plain,
( epred4_0
| r(esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_246,plain,
( p1(X1)
| p1(esk25_0)
| q1(X2)
| p1(X2)
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_247,plain,
( epred5_0
| p1(esk25_0)
| p1(X1)
| ~ epred4_0
| ~ q1(X1) ),
inference(csr,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_248,plain,
( p1(X1)
| b0
| q1(X3)
| p1(X3)
| epred5_0
| ~ p1(X2)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_249,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ b0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_239,c_0_240]),c_0_228]) ).
cnf(c_0_250,plain,
( q1(X2)
| p1(X2)
| epred6_0
| ~ b(X1)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_251,plain,
( p1(X2)
| epred6_0
| ~ b(X1)
| ~ q1(X2)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_252,plain,
( p1(X1)
| b0
| epred5_0
| ~ p1(X2)
| ~ p1(esk24_0)
| ~ p1(esk23_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_253,plain,
( epred5_0
| ~ epred4_0
| ~ b0
| ~ p1(esk23_0)
| ~ p1(esk24_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_254,plain,
( epred4_0
| ~ q(X1,X2)
| ~ p1(esk18_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_189])]) ).
cnf(c_0_255,plain,
( epred4_0
| q(esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_209,c_0_245]) ).
cnf(c_0_256,plain,
( epred5_0
| p1(esk25_0)
| p1(X1)
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_246,c_0_247]),c_0_238]) ).
cnf(c_0_257,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_248,c_0_240]),c_0_228]),c_0_249]) ).
cnf(c_0_258,plain,
( q1(X2)
| p1(X2)
| p1(X3)
| epred6_0
| ~ b(X1)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_259,plain,
( p1(X2)
| p1(X3)
| epred6_0
| ~ b(X1)
| ~ q1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_260,plain,
( b(X1)
| p1(X2)
| epred6_0
| ~ a1(X1)
| ~ q1(X2)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_261,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ b(X2)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_262,plain,
( epred5_0
| ~ epred4_0
| ~ p1(esk23_0)
| ~ p1(esk24_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_252,c_0_243]),c_0_253]) ).
cnf(c_0_263,plain,
epred4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_236]),c_0_236]) ).
cnf(c_0_264,plain,
( epred5_0
| p1(esk25_0)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_265,plain,
( a1(esk29_0)
| p1(X1)
| p1(X2)
| epred6_0
| ~ q1(X1)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_266,plain,
( a1(esk29_0)
| q1(X1)
| p1(X1)
| p1(X2)
| epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_267,plain,
( b(X1)
| q1(X2)
| p1(X2)
| p1(X3)
| epred6_0
| ~ a1(X1)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_268,plain,
( epred6_0
| p1(X1)
| p1(X2)
| ~ epred5_0
| ~ b(X3) ),
inference(csr,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_269,plain,
( a1(esk29_0)
| p1(X1)
| epred6_0
| ~ q1(X1)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_270,plain,
( a1(esk29_0)
| q1(X1)
| p1(X1)
| epred6_0
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_271,plain,
( b(X1)
| q1(X2)
| p1(X2)
| epred6_0
| ~ a1(X1)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_272,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ a1(X2)
| ~ q1(esk26_0)
| ~ q1(X1) ),
inference(csr,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_273,plain,
( epred5_0
| ~ epred4_0
| ~ p1(esk23_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_262,c_0_257]),c_0_257]) ).
cnf(c_0_274,plain,
( epred5_0
| p1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_263])]) ).
cnf(c_0_275,plain,
( epred5_0
| p1(esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_263])]) ).
cnf(c_0_276,plain,
( a1(esk29_0)
| q1(X1)
| p1(X1)
| q1(X2)
| epred6_0
| ~ p1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_277,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| p1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_278,plain,
( b(X1)
| p1(X2)
| p1(X3)
| epred6_0
| ~ a1(X1)
| ~ q1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_279,plain,
( epred6_0
| p1(X1)
| p1(X2)
| q1(X1)
| ~ epred5_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_280,plain,
( p1(X2)
| q1(X3)
| epred6_0
| ~ b(X1)
| ~ p1(esk28_0)
| ~ p1(X3)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_281,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_241]) ).
cnf(c_0_282,plain,
( epred6_0
| ~ b(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_283,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| ~ epred5_0
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_284,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ a1(X2)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_271,c_0_272]),c_0_261]) ).
cnf(c_0_285,plain,
( epred5_0
| ~ p1(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_263])]) ).
cnf(c_0_286,plain,
( epred5_0
| p1(X1) ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_287,plain,
( a1(esk29_0)
| p1(X1)
| q1(X2)
| epred6_0
| ~ q1(X1)
| ~ p1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_288,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| q1(X1)
| q1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_289,plain,
( b(X1)
| q1(X2)
| p1(X3)
| epred6_0
| ~ a1(X1)
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_290,plain,
( epred6_0
| p1(X1)
| p1(X2)
| ~ epred5_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_278,c_0_279]),c_0_268]) ).
cnf(c_0_291,plain,
( epred6_0
| p1(X1)
| q1(X2)
| ~ epred5_0
| ~ b(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_280,c_0_268]),c_0_268]) ).
cnf(c_0_292,plain,
( a1(esk29_0)
| epred6_0
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ q1(esk26_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_293,plain,
( epred6_0
| ~ epred5_0
| ~ a1(X1)
| ~ p1(esk27_0)
| ~ p1(esk28_0)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_294,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_295,plain,
epred5_0,
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_296,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| q1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_287,c_0_288]),c_0_277]) ).
cnf(c_0_297,plain,
( epred6_0
| p1(X1)
| q1(X2)
| ~ epred5_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_289,c_0_290]),c_0_291]) ).
cnf(c_0_298,plain,
( b(X1)
| p1(X2)
| epred6_0
| ~ a1(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_299,plain,
( p1(X2)
| epred6_0
| ~ b(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_300,plain,
( q1(X2)
| epred6_0
| ~ b(X1)
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ p1(X2)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_301,plain,
( epred6_0
| ~ epred5_0
| ~ p1(esk27_0)
| ~ p1(esk28_0)
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_302,plain,
( epred6_0
| p1(X1)
| ~ q1(esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295])]) ).
cnf(c_0_303,plain,
( epred6_0
| p1(X1)
| q1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_296,c_0_297]) ).
fof(c_0_304,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_305,plain,
( a1(esk29_0)
| p1(X1)
| epred6_0
| ~ p1(esk28_0)
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_306,plain,
( a1(esk29_0)
| p1(X1)
| p1(X2)
| epred6_0
| ~ p1(esk28_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_307,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_241]) ).
cnf(c_0_308,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ a1(X2)
| ~ p1(esk27_0)
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_309,plain,
( epred6_0
| q1(X1)
| ~ epred5_0
| ~ b(X2)
| ~ p1(esk27_0)
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[c_0_300,c_0_299]) ).
cnf(c_0_310,plain,
( epred6_0
| ~ q1(esk26_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_295])]),c_0_302]),c_0_302]) ).
cnf(c_0_311,plain,
( epred6_0
| p1(X1)
| q1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_295])]) ).
fof(c_0_312,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_304]),c_0_222]) ).
cnf(c_0_313,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_241]) ).
cnf(c_0_314,plain,
( epred6_0
| a1(esk29_0)
| p1(X1)
| ~ epred5_0
| ~ p1(esk28_0) ),
inference(csr,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_315,plain,
( a1(esk29_0)
| q1(X1)
| p1(X2)
| epred6_0
| ~ p1(esk27_0)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_316,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_307,c_0_308]),c_0_309]) ).
cnf(c_0_317,plain,
( epred6_0
| p1(X1) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
fof(c_0_318,plain,
! [X227,X228,X230,X232,X233,X235] :
( ( b(esk33_0)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| ~ a1(esk30_0)
| b(esk30_0)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| a1(X227)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| a1(esk32_0)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| b(X232)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| ~ a1(X233)
| ~ b(X233)
| ~ a(X230,esk31_0)
| ~ a(X230,X230)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| a1(esk32_0)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| b(X232)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( b(esk33_0)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X235)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ epred6_0
| epred7_0 )
& ( ~ b(X235)
| ~ a1(X233)
| ~ b(X233)
| a(X230,X230)
| a(X230,esk31_0)
| ~ b(X228)
| ~ 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_312])])])])]) ).
cnf(c_0_319,plain,
( epred6_0
| a1(esk29_0)
| q1(X1)
| ~ epred5_0
| ~ p1(esk27_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).
cnf(c_0_320,plain,
( epred6_0
| q1(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_295])]),c_0_317]),c_0_317]) ).
cnf(c_0_321,plain,
( b(X2)
| a(X3,X3)
| a(X3,esk31_0)
| a1(X4)
| epred7_0
| ~ b(X1)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_322,plain,
( b(X2)
| a(X3,X3)
| a(X3,esk31_0)
| epred7_0
| ~ a1(X1)
| ~ b(X4)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_323,plain,
( epred6_0
| q1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_295])]),c_0_317]),c_0_320]) ).
cnf(c_0_324,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_325,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_326,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| b(X2)
| ~ epred6_0
| ~ b(X3) ),
inference(csr,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_327,plain,
epred6_0,
inference(spm,[status(thm)],[c_0_310,c_0_323]) ).
cnf(c_0_328,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_329,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_330,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_331,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_332,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_333,plain,
( b(esk33_0)
| a1(esk32_0)
| a(X1,X1)
| a(X1,esk31_0)
| epred7_0
| ~ b(X2)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
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_324,c_0_325]) ).
cnf(c_0_335,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_336,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| b(X2)
| ~ b(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_327])]) ).
cnf(c_0_337,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_328,c_0_329]),c_0_330]) ).
cnf(c_0_338,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_339,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_340,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_331,c_0_332]),c_0_332]) ).
cnf(c_0_341,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| b(esk33_0)
| a1(esk32_0)
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_333,c_0_329]) ).
cnf(c_0_342,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_327])]) ).
cnf(c_0_343,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_335,c_0_327])]),c_0_336]),c_0_336]) ).
cnf(c_0_344,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| b(esk30_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_327])]),c_0_336]) ).
cnf(c_0_345,plain,
( epred7_0
| b(X1)
| ~ epred6_0
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ b(X3) ),
inference(csr,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_346,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| a1(X2)
| ~ a1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_327])]) ).
cnf(c_0_347,plain,
( epred7_0
| a(X1,esk31_0)
| a(X1,X1)
| a1(esk32_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_327])]),c_0_342]) ).
cnf(c_0_348,plain,
( epred7_0
| a(X1,esk31_0)
| a(X2,esk31_0)
| a(X1,X1)
| a(X2,X2)
| ~ a1(X3) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_349,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_350,plain,
( a1(esk32_0)
| a1(X3)
| epred7_0
| ~ b(X1)
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_351,plain,
( a1(esk32_0)
| epred7_0
| ~ a1(X1)
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ b(X3)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_352,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_353,plain,
( epred7_0
| b(X1)
| ~ a(X2,esk31_0)
| ~ a(X2,X2)
| ~ b(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_327])]) ).
cnf(c_0_354,plain,
( epred7_0
| a(X1,esk31_0)
| a(X2,esk31_0)
| a(X1,X1)
| a(X2,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]) ).
cnf(c_0_355,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_356,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_357,plain,
( epred7_0
| b(esk33_0)
| a1(X1)
| ~ epred6_0
| ~ a(X2,esk31_0)
| ~ a(X2,X2) ),
inference(csr,[status(thm)],[c_0_349,c_0_345]) ).
cnf(c_0_358,plain,
( epred7_0
| a1(esk32_0)
| ~ epred6_0
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[c_0_350,c_0_351]) ).
cnf(c_0_359,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_352,c_0_327])]),c_0_353]),c_0_353]) ).
cnf(c_0_360,plain,
( epred7_0
| a(esk31_0,esk31_0) ),
inference(ef,[status(thm)],[c_0_354]) ).
fof(c_0_361,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_362,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_355,c_0_356]),c_0_345]) ).
cnf(c_0_363,plain,
( epred7_0
| b(esk33_0)
| a1(X1)
| ~ a(X2,esk31_0)
| ~ a(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_327])]) ).
cnf(c_0_364,plain,
( epred7_0
| a1(esk32_0)
| ~ a(X1,esk31_0)
| ~ a(X1,X1)
| ~ b(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_327])]) ).
cnf(c_0_365,plain,
( epred7_0
| ~ b(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_360]) ).
fof(c_0_366,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_361]),c_0_304]) ).
cnf(c_0_367,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_362,c_0_327])]) ).
cnf(c_0_368,plain,
( epred7_0
| b(esk33_0)
| a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_360]),c_0_360]) ).
cnf(c_0_369,plain,
( epred7_0
| ~ b(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_360]),c_0_360]),c_0_365]) ).
fof(c_0_370,plain,
! [X236,X237,X238,X239,X246,X247,X250,X251,X255] :
( ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X247)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| p1(esk42_0)
| p1(esk43_0)
| p1(X247)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| ~ p1(X250)
| ~ p1(X251)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X246)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X247)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| p1(esk42_0)
| p1(esk43_0)
| p1(X247)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| ~ p1(X250)
| ~ p1(X251)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ 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(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X236,X237)
| ~ a(X239,X238)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| p1(X246)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| p1(X246)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X247)
| p1(X246)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| p1(esk42_0)
| p1(esk43_0)
| p1(X247)
| p1(X246)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X246)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| ~ p1(X250)
| ~ p1(X251)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X246)
| 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(X246)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| p1(esk42_0)
| p1(esk43_0)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| p1(X246)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| ~ p1(X250)
| ~ p1(X251)
| p1(X247)
| ~ 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(X247)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X255)
| p1(esk42_0)
| p1(esk43_0)
| p1(X247)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk44_0)
| ~ p1(X250)
| ~ p1(X251)
| ~ 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(X255)
| ~ p1(X250)
| ~ p1(X251)
| ~ 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(X255)
| 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_366])])])])]) ).
cnf(c_0_371,plain,
( epred7_0
| ~ a(X1,esk31_0)
| ~ a(X1,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369]),c_0_369]) ).
cnf(c_0_372,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_370]) ).
cnf(c_0_373,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_370]) ).
cnf(c_0_374,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_370]) ).
cnf(c_0_375,plain,
epred7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_360]),c_0_360]) ).
cnf(c_0_376,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(esk44_0)
| p1(X1)
| ~ epred7_0
| ~ a(X2,X3)
| ~ a(X4,X5) ),
inference(csr,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_377,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_370]) ).
cnf(c_0_378,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_375])]) ).
cnf(c_0_379,plain,
( epred8_0
| p1(esk44_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| ~ a(X2,X3)
| ~ a(X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_375])]) ).
cnf(c_0_380,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk44_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_375])]),c_0_378]) ).
cnf(c_0_381,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(esk44_0)
| p1(X1)
| p1(X2)
| ~ a(X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_379]) ).
cnf(c_0_382,plain,
( epred8_0
| p1(esk44_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_380]),c_0_381]) ).
cnf(c_0_383,plain,
( epred8_0
| p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_382]) ).
cnf(c_0_384,plain,
( epred8_0
| p1(esk44_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_383]) ).
cnf(c_0_385,plain,
( epred8_0
| p1(esk44_0)
| p1(esk42_0)
| p1(esk43_0) ),
inference(ef,[status(thm)],[c_0_384]) ).
cnf(c_0_386,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_378,c_0_385]) ).
cnf(c_0_387,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| ~ a(X3,X4)
| ~ a(X5,X6)
| ~ p1(X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_375])]) ).
cnf(c_0_388,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk43_0)
| p1(esk42_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_386]) ).
cnf(c_0_389,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2)
| p1(X3)
| ~ a(X4,X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_387]) ).
cnf(c_0_390,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_388]),c_0_389]) ).
cnf(c_0_391,plain,
( epred8_0
| p1(esk42_0)
| p1(esk43_0)
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4) ),
inference(spm,[status(thm)],[c_0_390,c_0_385]) ).
cnf(c_0_392,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(ef,[status(thm)],[c_0_391]) ).
cnf(c_0_393,plain,
( p1(esk44_0)
| p1(X3)
| p1(X4)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_370]) ).
cnf(c_0_394,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_370]) ).
cnf(c_0_395,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_392]) ).
cnf(c_0_396,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk44_0)
| p1(X1)
| ~ epred7_0
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_397,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_395]) ).
cnf(c_0_398,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_370]) ).
cnf(c_0_399,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_370]) ).
cnf(c_0_400,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk44_0)
| p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_375])]) ).
cnf(c_0_401,plain,
( epred8_0
| p1(esk43_0)
| p1(esk42_0) ),
inference(ef,[status(thm)],[c_0_397]) ).
cnf(c_0_402,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_398,c_0_399]) ).
cnf(c_0_403,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk42_0)
| p1(esk44_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_400]) ).
cnf(c_0_404,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_402,c_0_375])]) ).
cnf(c_0_405,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk44_0)
| p1(esk42_0) ),
inference(spm,[status(thm)],[c_0_403,c_0_401]) ).
cnf(c_0_406,plain,
( epred8_0
| p1(esk42_0)
| p1(esk44_0)
| p1(X1)
| ~ a(X2,X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_404]) ).
cnf(c_0_407,plain,
( epred8_0
| p1(esk44_0)
| p1(esk42_0)
| p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_405]),c_0_406]) ).
cnf(c_0_408,plain,
( epred8_0
| p1(esk42_0)
| p1(esk44_0)
| p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_407,c_0_401]) ).
cnf(c_0_409,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1)
| p1(X2)
| ~ p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_375])]) ).
cnf(c_0_410,plain,
( epred8_0
| p1(esk44_0)
| p1(esk42_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_408,c_0_401]) ).
cnf(c_0_411,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk42_0)
| p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_401]),c_0_409]) ).
cnf(c_0_412,plain,
( epred8_0
| p1(esk44_0)
| p1(esk42_0) ),
inference(ef,[status(thm)],[c_0_410]) ).
cnf(c_0_413,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk42_0)
| p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_414,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_399,c_0_375])]) ).
cnf(c_0_415,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk42_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_413,c_0_412]) ).
cnf(c_0_416,plain,
( epred8_0
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_414]) ).
cnf(c_0_417,plain,
( epred8_0
| p1(esk42_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_416,c_0_415]),c_0_416]) ).
cnf(c_0_418,plain,
( epred8_0
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(spm,[status(thm)],[c_0_417,c_0_412]) ).
cnf(c_0_419,plain,
( epred8_0
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4)
| ~ p1(X5) ),
inference(spm,[status(thm)],[c_0_418,c_0_412]) ).
cnf(c_0_420,plain,
( epred8_0
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4) ),
inference(spm,[status(thm)],[c_0_419,c_0_412]) ).
cnf(c_0_421,plain,
( epred8_0
| p1(esk42_0)
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(ef,[status(thm)],[c_0_420]) ).
cnf(c_0_422,plain,
( epred8_0
| p1(esk42_0)
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_421]) ).
cnf(c_0_423,plain,
( epred8_0
| p1(esk42_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_422]) ).
cnf(c_0_424,plain,
( epred8_0
| p1(esk42_0) ),
inference(ef,[status(thm)],[c_0_423]) ).
cnf(c_0_425,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(esk44_0)
| p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_400,c_0_424]) ).
cnf(c_0_426,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(esk44_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_425,c_0_424]) ).
cnf(c_0_427,plain,
( epred8_0
| p1(esk44_0)
| p1(X1)
| p1(X2)
| ~ a(X3,X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_426]),c_0_404]) ).
cnf(c_0_428,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(X1)
| p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_409,c_0_424]) ).
cnf(c_0_429,plain,
( epred8_0
| p1(esk44_0)
| p1(X1)
| p1(X2)
| p1(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_426]),c_0_427]) ).
cnf(c_0_430,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1)
| p1(X2)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_428,c_0_424]) ).
cnf(c_0_431,plain,
( epred8_0
| p1(esk44_0)
| p1(X1)
| p1(X2)
| p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_429,c_0_424]) ).
cnf(c_0_432,plain,
( epred8_0
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_430,c_0_424]) ).
cnf(c_0_433,plain,
( epred8_0
| p1(esk44_0)
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(spm,[status(thm)],[c_0_431,c_0_424]) ).
cnf(c_0_434,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_432]) ).
cnf(c_0_435,plain,
( epred8_0
| p1(esk44_0)
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_433]) ).
cnf(c_0_436,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_434]),c_0_414]) ).
cnf(c_0_437,plain,
( epred8_0
| p1(esk44_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_435]) ).
cnf(c_0_438,plain,
( epred8_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_436,c_0_434]),c_0_436]) ).
cnf(c_0_439,plain,
( epred8_0
| p1(esk44_0) ),
inference(ef,[status(thm)],[c_0_437]) ).
cnf(c_0_440,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_441,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4)
| ~ p1(X5) ),
inference(spm,[status(thm)],[c_0_440,c_0_439]) ).
cnf(c_0_442,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4) ),
inference(spm,[status(thm)],[c_0_441,c_0_439]) ).
cnf(c_0_443,plain,
( p1(X4)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_370]) ).
cnf(c_0_444,plain,
( p1(X4)
| a(esk34_0,esk35_0)
| a(esk37_0,esk36_0)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_370]) ).
cnf(c_0_445,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_370]) ).
cnf(c_0_446,plain,
( p1(X4)
| epred8_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ a(X5,X6)
| ~ a(X7,X8)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_370]) ).
cnf(c_0_447,plain,
( epred8_0
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(ef,[status(thm)],[c_0_442]) ).
cnf(c_0_448,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1)
| ~ epred7_0
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_443,c_0_394]),c_0_394]) ).
cnf(c_0_449,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1)
| ~ epred7_0
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_444,c_0_394]),c_0_394]) ).
fof(c_0_450,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_451,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_370]) ).
cnf(c_0_452,plain,
( epred8_0
| p1(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_445,c_0_375])]),c_0_414]),c_0_414]) ).
cnf(c_0_453,plain,
( epred8_0
| p1(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_375])]),c_0_414]),c_0_414]) ).
cnf(c_0_454,plain,
( epred8_0
| p1(X1)
| p1(X2) ),
inference(ef,[status(thm)],[c_0_447]) ).
cnf(c_0_455,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_370]) ).
cnf(c_0_456,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1)
| ~ p1(esk40_0)
| ~ p1(esk41_0)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_375])]) ).
cnf(c_0_457,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| p1(X1)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_375])]) ).
fof(c_0_458,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_450]),c_0_361]) ).
cnf(c_0_459,plain,
( epred8_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_375])]),c_0_452]),c_0_452]),c_0_452]),c_0_453]) ).
cnf(c_0_460,plain,
( epred8_0
| p1(X1) ),
inference(ef,[status(thm)],[c_0_454]) ).
cnf(c_0_461,plain,
( epred8_0
| a(esk37_0,esk36_0)
| a(esk34_0,esk35_0)
| ~ p1(esk38_0)
| ~ p1(esk39_0)
| ~ p1(esk40_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_375])]),c_0_456]),c_0_456]),c_0_456]),c_0_457]) ).
fof(c_0_462,plain,
! [X256,X258,X259,X260,X261,X262,X263,X264,X265] :
( ( ~ a_member_of(X262,X260)
| a_member_of(X262,X261)
| ~ eq(X260,X261)
| p(X256,X258)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X263,X261)
| a_member_of(X263,X260)
| ~ eq(X260,X261)
| p(X256,X258)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X264,X265),X264)
| ~ a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X256,X258)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X264,X265),X264)
| a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X256,X258)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X256,X258)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X256,X258)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X262,X260)
| a_member_of(X262,X261)
| ~ eq(X260,X261)
| p(X258,X256)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X263,X261)
| a_member_of(X263,X260)
| ~ eq(X260,X261)
| p(X258,X256)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X264,X265),X264)
| ~ a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X258,X256)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X264,X265),X264)
| a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X258,X256)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X258,X256)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X258,X256)
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X262,X260)
| a_member_of(X262,X261)
| ~ eq(X260,X261)
| ~ p(X258,esk45_1(X256))
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X263,X261)
| a_member_of(X263,X260)
| ~ eq(X260,X261)
| ~ p(X258,esk45_1(X256))
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X264,X265),X264)
| ~ a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| ~ p(X258,esk45_1(X256))
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X264,X265),X264)
| a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| ~ p(X258,esk45_1(X256))
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| ~ p(X258,esk45_1(X256))
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| ~ p(X258,esk45_1(X256))
| p(X258,esk45_1(X256))
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X262,X260)
| a_member_of(X262,X261)
| ~ eq(X260,X261)
| p(X256,X258)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X263,X261)
| a_member_of(X263,X260)
| ~ eq(X260,X261)
| p(X256,X258)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X264,X265),X264)
| ~ a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X256,X258)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X264,X265),X264)
| a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X256,X258)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X256,X258)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X256,X258)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X262,X260)
| a_member_of(X262,X261)
| ~ eq(X260,X261)
| p(X258,X256)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X263,X261)
| a_member_of(X263,X260)
| ~ eq(X260,X261)
| p(X258,X256)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X264,X265),X264)
| ~ a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X258,X256)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X264,X265),X264)
| a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| p(X258,X256)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| p(X258,X256)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| p(X258,X256)
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X262,X260)
| a_member_of(X262,X261)
| ~ eq(X260,X261)
| ~ p(X258,esk45_1(X256))
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X263,X261)
| a_member_of(X263,X260)
| ~ eq(X260,X261)
| ~ p(X258,esk45_1(X256))
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk46_2(X264,X265),X264)
| ~ a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| ~ p(X258,esk45_1(X256))
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk46_2(X264,X265),X264)
| a_member_of(esk46_2(X264,X265),X265)
| eq(X264,X265)
| ~ p(X258,esk45_1(X256))
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( eq(esk47_0,esk48_0)
| ~ p(X258,esk45_1(X256))
| ~ p(X259,X258)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk48_0,esk47_0)
| ~ p(X258,esk45_1(X256))
| ~ p(X259,X258)
| ~ 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_458])])])])])]) ).
cnf(c_0_463,plain,
( epred8_0
| ~ a(X1,X2)
| ~ a(X3,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_460]),c_0_460]) ).
cnf(c_0_464,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_461,c_0_460]),c_0_460]),c_0_460]) ).
cnf(c_0_465,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_462]) ).
cnf(c_0_466,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_462]) ).
cnf(c_0_467,plain,
( epred8_0
| ~ a(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_464]),c_0_463]) ).
cnf(c_0_468,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| eq(X1,X2)
| p(X3,esk45_1(X4))
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_469,plain,
epred8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_464]),c_0_467]) ).
cnf(c_0_470,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_462]) ).
cnf(c_0_471,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| eq(X1,X2)
| p(X3,esk45_1(X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_469])]) ).
cnf(c_0_472,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_462]) ).
cnf(c_0_473,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_462]) ).
cnf(c_0_474,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X1,X2),X2)
| eq(X1,X2)
| ~ p(X3,X4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_469])]),c_0_471]) ).
cnf(c_0_475,plain,
( eq(esk47_0,esk48_0)
| p(X1,X2)
| epred9_0
| ~ p(X3,X1)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_462]) ).
cnf(c_0_476,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_472,c_0_473]) ).
cnf(c_0_477,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X2)
| a_member_of(esk46_2(X1,X2),X1)
| a_member_of(esk46_2(X3,X4),X4)
| a_member_of(esk46_2(X3,X4),X3)
| eq(X1,X2)
| eq(X3,X4) ),
inference(spm,[status(thm)],[c_0_474,c_0_471]) ).
cnf(c_0_478,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_462]) ).
cnf(c_0_479,plain,
( epred9_0
| eq(esk47_0,esk48_0)
| p(X1,X2)
| ~ p(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_469])]) ).
cnf(c_0_480,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_462]) ).
cnf(c_0_481,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_462]) ).
cnf(c_0_482,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_476,c_0_469])]) ).
cnf(c_0_483,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X2)
| a_member_of(esk46_2(X1,X2),X1)
| eq(X1,X2) ),
inference(ef,[status(thm)],[c_0_477]) ).
cnf(c_0_484,plain,
( eq(esk47_0,esk48_0)
| p(X1,X2)
| p(X1,esk45_1(X2))
| epred9_0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_462]) ).
cnf(c_0_485,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_478,c_0_469])]),c_0_479]) ).
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_462]) ).
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_462]) ).
cnf(c_0_488,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_462]) ).
cnf(c_0_489,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_462]) ).
cnf(c_0_490,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_480,c_0_481]) ).
cnf(c_0_491,plain,
( epred9_0
| a_member_of(esk46_2(X1,X2),X2)
| a_member_of(esk46_2(X1,X2),X3)
| eq(X1,X2)
| p(X4,esk45_1(X5))
| ~ eq(X3,X1) ),
inference(spm,[status(thm)],[c_0_482,c_0_483]) ).
cnf(c_0_492,plain,
( epred9_0
| eq(esk47_0,esk48_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_484,c_0_469])]),c_0_485]),c_0_485]) ).
cnf(c_0_493,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_494,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_488,c_0_489]) ).
cnf(c_0_495,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_462]) ).
cnf(c_0_496,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_490,c_0_469])]) ).
cnf(c_0_497,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,X1),esk47_0)
| a_member_of(esk46_2(esk48_0,X1),X1)
| eq(esk48_0,X1)
| p(X2,esk45_1(X3)) ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_498,plain,
( epred9_0
| p(X1,esk45_1(X2))
| ~ eq(esk48_0,esk47_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_469])]) ).
cnf(c_0_499,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_494,c_0_469])]) ).
cnf(c_0_500,plain,
( epred9_0
| eq(X1,X2)
| ~ a_member_of(esk46_2(X1,X2),X2)
| ~ a_member_of(esk46_2(X1,X2),X1)
| ~ p(X3,X4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_469])]),c_0_496]) ).
cnf(c_0_501,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk47_0)
| p(X1,esk45_1(X2)) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_497]),c_0_498]) ).
cnf(c_0_502,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_499,c_0_483]) ).
cnf(c_0_503,plain,
( epred9_0
| p(X1,esk45_1(X2))
| ~ a_member_of(esk46_2(esk48_0,esk47_0),esk48_0)
| ~ p(X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_498]) ).
cnf(c_0_504,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_462]) ).
cnf(c_0_505,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,esk45_1(X3)) ),
inference(spm,[status(thm)],[c_0_502,c_0_492]) ).
cnf(c_0_506,plain,
( epred9_0
| p(X1,esk45_1(X2))
| ~ a_member_of(esk46_2(esk48_0,esk47_0),esk48_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_501]),c_0_503]),c_0_498]) ).
cnf(c_0_507,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_504,c_0_469])]) ).
cnf(c_0_508,plain,
( epred9_0
| p(X1,esk45_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_505]),c_0_498]),c_0_506]) ).
cnf(c_0_509,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X3,X2)
| ~ p(X4,X5) ),
inference(spm,[status(thm)],[c_0_507,c_0_508]) ).
cnf(c_0_510,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(spm,[status(thm)],[c_0_509,c_0_483]) ).
cnf(c_0_511,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_462]) ).
cnf(c_0_512,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_510,c_0_492]) ).
cnf(c_0_513,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_511,c_0_469])]) ).
cnf(c_0_514,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(spm,[status(thm)],[c_0_512,c_0_508]) ).
cnf(c_0_515,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X2,X3)
| ~ p(X4,X5) ),
inference(spm,[status(thm)],[c_0_513,c_0_508]) ).
cnf(c_0_516,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_514]) ).
cnf(c_0_517,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),X1)
| eq(esk48_0,esk47_0)
| ~ eq(X1,esk48_0)
| ~ p(X2,X3) ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_518,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk47_0)
| eq(esk48_0,esk47_0)
| ~ p(X1,X2) ),
inference(spm,[status(thm)],[c_0_517,c_0_492]) ).
fof(c_0_519,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_520,plain,
( epred9_0
| a_member_of(esk46_2(esk48_0,esk47_0),esk47_0)
| eq(esk48_0,esk47_0) ),
inference(spm,[status(thm)],[c_0_518,c_0_508]) ).
fof(c_0_521,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_519]),c_0_450]) ).
cnf(c_0_522,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_462]) ).
cnf(c_0_523,plain,
( epred9_0
| eq(esk48_0,esk47_0)
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_520]),c_0_516]) ).
fof(c_0_524,plain,
! [X271,X272,X273,X276,X277] :
( ( ~ p1(X276)
| q1(X276)
| p1(X273)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X273)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| p1(X273)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X273)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| ~ p1(esk51_0)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| ~ p1(esk51_0)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ q1(X271)
| p1(X271)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| p1(X273)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X273)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| p1(X273)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X273)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| ~ p1(esk51_0)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| ~ p1(esk51_0)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| q1(X272)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| p1(X273)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X273)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| p1(X273)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X273)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| p1(X272)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| p1(X273)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X273)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| p1(X273)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X273)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| ~ p1(esk51_0)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| ~ p1(esk51_0)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| ~ p1(esk51_0)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| ~ p1(esk51_0)
| q1(X272)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| p1(X273)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk52_0)
| p1(X273)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X277)
| p1(X277)
| p1(X273)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk52_0)
| p1(X273)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X276)
| q1(X276)
| ~ 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(X277)
| p1(X277)
| ~ 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_521])])])])])]) ).
cnf(c_0_525,plain,
( epred9_0
| ~ eq(esk48_0,esk47_0)
| ~ p(X1,esk45_1(X2))
| ~ p(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_469])]) ).
cnf(c_0_526,plain,
( epred9_0
| eq(esk48_0,esk47_0) ),
inference(spm,[status(thm)],[c_0_523,c_0_508]) ).
cnf(c_0_527,plain,
( p1(X1)
| p1(X2)
| q1(X3)
| p1(X3)
| epred10_0
| ~ r1(X1)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_528,plain,
( p1(X1)
| p1(X2)
| p1(X3)
| epred10_0
| ~ r1(X1)
| ~ q1(X3)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_529,plain,
( r1(esk52_0)
| p1(X1)
| p1(X2)
| epred10_0
| ~ q1(X2)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_530,plain,
( r1(esk52_0)
| p1(X1)
| q1(X2)
| p1(X2)
| epred10_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_531,plain,
( epred9_0
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_508]) ).
cnf(c_0_532,plain,
( p1(X1)
| p1(X2)
| q1(X3)
| epred10_0
| ~ r1(X1)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_533,plain,
( epred10_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ epred9_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_534,plain,
( epred10_0
| r1(esk52_0)
| p1(X1)
| p1(X2)
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_529,c_0_530]) ).
cnf(c_0_535,plain,
epred9_0,
inference(spm,[status(thm)],[c_0_531,c_0_508]) ).
cnf(c_0_536,plain,
( p1(X1)
| q1(X2)
| p1(X2)
| epred10_0
| ~ q1(esk52_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_537,plain,
( p1(X1)
| p1(X2)
| epred10_0
| ~ q1(esk52_0)
| ~ q1(X2)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_538,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ r1(X2) ),
inference(csr,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_539,plain,
( epred10_0
| r1(esk52_0)
| p1(X1)
| p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_534,c_0_535])]) ).
cnf(c_0_540,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ epred9_0
| ~ q1(esk52_0) ),
inference(csr,[status(thm)],[c_0_536,c_0_537]) ).
cnf(c_0_541,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_535])]) ).
cnf(c_0_542,plain,
( epred10_0
| r1(esk52_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_539]) ).
cnf(c_0_543,plain,
( p1(X1)
| epred10_0
| ~ q1(esk52_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_544,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ q1(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_540,c_0_535])]) ).
cnf(c_0_545,plain,
( epred10_0
| p1(esk52_0)
| p1(X1)
| p1(X2)
| q1(X3) ),
inference(spm,[status(thm)],[c_0_541,c_0_542]) ).
cnf(c_0_546,plain,
( q1(X1)
| p1(X2)
| q1(X3)
| p1(X3)
| epred10_0
| ~ p1(X1)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_547,plain,
( q1(X1)
| p1(X2)
| p1(X3)
| epred10_0
| ~ p1(X1)
| ~ q1(X3)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_548,plain,
( epred10_0
| p1(X1)
| ~ q1(esk52_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_543,c_0_535])]),c_0_544]),c_0_544]) ).
cnf(c_0_549,plain,
( epred10_0
| p1(esk52_0)
| p1(X1)
| q1(X2) ),
inference(ef,[status(thm)],[c_0_545]) ).
cnf(c_0_550,plain,
( q1(X1)
| q1(X2)
| p1(X2)
| epred10_0
| ~ p1(X1)
| ~ p1(esk51_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_551,plain,
( q1(X1)
| p1(X2)
| epred10_0
| ~ p1(X1)
| ~ p1(esk51_0)
| ~ q1(X2)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_552,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_546,c_0_547]) ).
cnf(c_0_553,plain,
( epred10_0
| p1(esk52_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_548,c_0_549]) ).
fof(c_0_554,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_555,plain,
( q1(X1)
| p1(X1)
| epred10_0
| ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_556,plain,
( p1(X1)
| epred10_0
| ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ q1(X1)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_557,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ epred9_0
| ~ p1(esk51_0)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_558,plain,
( q1(X1)
| p1(X2)
| epred10_0
| ~ p1(X1)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_559,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_552,c_0_535])]) ).
cnf(c_0_560,plain,
( epred10_0
| p1(esk52_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_553]) ).
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_554]),c_0_519]) ).
cnf(c_0_562,plain,
( epred10_0
| p1(X1)
| ~ epred9_0
| ~ p1(esk51_0)
| ~ q1(esk52_0) ),
inference(csr,[status(thm)],[c_0_555,c_0_556]) ).
cnf(c_0_563,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_524]) ).
cnf(c_0_564,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ p1(esk51_0)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_557,c_0_535])]) ).
cnf(c_0_565,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_558,c_0_535])]),c_0_559]),c_0_559]) ).
cnf(c_0_566,plain,
( epred10_0
| p1(esk52_0) ),
inference(ef,[status(thm)],[c_0_560]) ).
fof(c_0_567,plain,
! [X280,X281,X283,X285,X287,X289,X290,X291] :
( ( p(X290,X291)
| p1(esk58_0)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ p1(X280)
| r1(X281)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| p(esk56_0,X285)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X285)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| p(esk56_0,X285)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| p(esk56_0,X285)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| p(esk56_0,X285)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X285)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| p(esk56_0,X285)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| p(esk56_0,X285)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| p1(esk53_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| p(esk56_0,X285)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| p1(esk55_0)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| p(esk56_0,X285)
| ~ p1(X283)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| p1(esk58_0)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( p(X290,X291)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ r1(esk54_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p(esk59_0,esk59_0)
| ~ p1(X289)
| ~ p(X287,esk57_0)
| ~ p1(X283)
| ~ 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_568,plain,
( epred10_0
| ~ q1(esk52_0)
| ~ p1(esk51_0)
| ~ p1(esk50_0)
| ~ p1(esk49_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_569,plain,
( epred10_0
| p1(X1)
| ~ p1(esk51_0)
| ~ q1(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_562,c_0_535])]) ).
cnf(c_0_570,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_563,c_0_535])]),c_0_564]),c_0_564]) ).
cnf(c_0_571,plain,
( epred10_0
| p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_548]) ).
cnf(c_0_572,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_567]) ).
cnf(c_0_573,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_567]) ).
cnf(c_0_574,plain,
( epred10_0
| ~ p1(esk51_0)
| ~ q1(esk52_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_568,c_0_535])]),c_0_569]),c_0_569]) ).
cnf(c_0_575,plain,
( epred10_0
| q1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_571]),c_0_571]) ).
cnf(c_0_576,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_567]) ).
cnf(c_0_577,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_567]) ).
cnf(c_0_578,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| p1(esk53_0)
| ~ epred10_0
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_572,c_0_573]) ).
cnf(c_0_579,plain,
epred10_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_575]),c_0_571]) ).
cnf(c_0_580,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_567]) ).
cnf(c_0_581,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_567]) ).
cnf(c_0_582,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0)
| ~ epred10_0
| ~ p(X3,esk57_0)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_583,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_567]) ).
cnf(c_0_584,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| p1(esk53_0)
| ~ p1(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_578,c_0_579])]) ).
cnf(c_0_585,plain,
( p(X1,X2)
| p(esk56_0,X4)
| p1(esk55_0)
| r1(X6)
| epred11_0
| ~ p1(X3)
| ~ p1(X5)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_586,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_567]) ).
cnf(c_0_587,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_580,c_0_581]) ).
cnf(c_0_588,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_567]) ).
cnf(c_0_589,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0)
| ~ p(X3,esk57_0)
| ~ p1(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_582,c_0_579])]) ).
cnf(c_0_590,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| p1(esk53_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_583,c_0_579])]),c_0_584]),c_0_584]) ).
cnf(c_0_591,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| r1(X4)
| ~ epred10_0
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[c_0_585,c_0_586]) ).
cnf(c_0_592,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_567]) ).
cnf(c_0_593,plain,
( epred11_0
| p1(esk53_0)
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_587,c_0_579])]) ).
cnf(c_0_594,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0)
| ~ p(X3,esk57_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_588,c_0_579])]),c_0_589]),c_0_589]) ).
cnf(c_0_595,plain,
( epred11_0
| p(esk56_0,X1)
| p1(esk53_0) ),
inference(ef,[status(thm)],[c_0_590]) ).
cnf(c_0_596,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_567]) ).
cnf(c_0_597,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_567]) ).
cnf(c_0_598,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_567]) ).
cnf(c_0_599,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| r1(X4)
| ~ p1(X5)
| ~ p1(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_579])]) ).
cnf(c_0_600,plain,
( epred11_0
| p1(esk53_0)
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_592,c_0_579])]),c_0_593]),c_0_593]) ).
cnf(c_0_601,plain,
( epred11_0
| p(X1,X2)
| p1(esk53_0) ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_602,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| ~ epred10_0
| ~ p(X4,esk57_0)
| ~ p1(X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_603,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| r1(X4)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_598,c_0_579])]),c_0_599]),c_0_599]) ).
cnf(c_0_604,plain,
( epred11_0
| p1(esk53_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_601]),c_0_601]) ).
cnf(c_0_605,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_567]) ).
cnf(c_0_606,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| ~ p(X4,esk57_0)
| ~ p1(X5)
| ~ p1(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_602,c_0_579])]) ).
cnf(c_0_607,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| r1(X4) ),
inference(spm,[status(thm)],[c_0_603,c_0_604]) ).
cnf(c_0_608,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_567]) ).
cnf(c_0_609,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_567]) ).
cnf(c_0_610,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| ~ p(X4,esk57_0)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_605,c_0_579])]),c_0_606]),c_0_606]) ).
cnf(c_0_611,plain,
( epred11_0
| p(esk56_0,X1)
| r1(X2) ),
inference(ef,[status(thm)],[c_0_607]) ).
cnf(c_0_612,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_608,c_0_609]) ).
cnf(c_0_613,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| r1(X4)
| ~ p1(X5) ),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_614,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_567]) ).
cnf(c_0_615,plain,
( epred11_0
| r1(X1)
| ~ p(esk59_0,esk59_0)
| ~ p(X2,esk57_0)
| ~ p1(X3)
| ~ p1(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_612,c_0_579])]) ).
cnf(c_0_616,plain,
( epred11_0
| p(X1,X2)
| r1(X3)
| r1(X4) ),
inference(spm,[status(thm)],[c_0_613,c_0_604]) ).
cnf(c_0_617,plain,
( p(X1,X2)
| p(esk56_0,X4)
| p1(esk55_0)
| epred11_0
| ~ p1(X3)
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_618,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_567]) ).
cnf(c_0_619,plain,
( epred11_0
| r1(X1)
| ~ p(esk59_0,esk59_0)
| ~ p(X2,esk57_0)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_614,c_0_579])]),c_0_615]),c_0_615]) ).
cnf(c_0_620,plain,
( epred11_0
| p(X1,X2)
| r1(X3) ),
inference(ef,[status(thm)],[c_0_616]) ).
fof(c_0_621,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_622,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_567]) ).
cnf(c_0_623,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_567]) ).
cnf(c_0_624,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| ~ epred10_0
| ~ r1(esk54_0)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_617,c_0_618]) ).
cnf(c_0_625,plain,
( epred11_0
| r1(X1)
| r1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_620]),c_0_620]) ).
fof(c_0_626,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_621]),c_0_554]) ).
cnf(c_0_627,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_567]) ).
cnf(c_0_628,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_567]) ).
cnf(c_0_629,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_567]) ).
cnf(c_0_630,plain,
( epred11_0
| p(X1,X2)
| ~ epred10_0
| ~ p(X3,esk57_0)
| ~ r1(esk54_0)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_622,c_0_623]) ).
cnf(c_0_631,plain,
( p(X1,X2)
| p1(esk58_0)
| p(esk56_0,X3)
| p1(esk55_0)
| epred11_0
| ~ r1(esk54_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_632,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_624,c_0_579])]) ).
cnf(c_0_633,plain,
( epred11_0
| r1(X1)
| r1(X2) ),
inference(spm,[status(thm)],[c_0_625,c_0_604]) ).
fof(c_0_634,plain,
! [X294] :
( ( 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(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| ~ b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| ~ b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| ~ b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| a0
| b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| a0
| b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| a0
| b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| a0
| b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ b0
| p1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| ~ b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| ~ b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| ~ b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| ~ b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| a0
| b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| a0
| b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| a0
| b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| a0
| b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ a0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ a0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ a0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ a0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| ~ b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( b0
| ~ b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ b0
| q1(X294)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ b0
| q1(X294)
| ~ 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_626])])])])]) ).
cnf(c_0_635,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_567]) ).
cnf(c_0_636,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_627,c_0_628]) ).
cnf(c_0_637,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_629,c_0_630]),c_0_630]) ).
cnf(c_0_638,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3)
| ~ r1(esk54_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_631,c_0_579])]),c_0_632]),c_0_632]) ).
cnf(c_0_639,plain,
( epred11_0
| r1(X1) ),
inference(ef,[status(thm)],[c_0_633]) ).
cnf(c_0_640,plain,
( epred12_0
| ~ a0
| ~ b0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_641,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_635,c_0_636]),c_0_636]) ).
cnf(c_0_642,plain,
( epred11_0
| p(X1,X2)
| ~ p(X3,esk57_0)
| ~ r1(esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_637,c_0_579])]) ).
cnf(c_0_643,plain,
( epred11_0
| p(esk56_0,X1)
| p(X2,X3) ),
inference(spm,[status(thm)],[c_0_638,c_0_639]) ).
cnf(c_0_644,plain,
( a0
| b0
| a0
| b0
| epred12_0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_645,plain,
( a0
| b0
| a0
| b0
| q1(X1)
| epred12_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_646,plain,
( a0
| epred12_0
| ~ b0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_647,plain,
( epred12_0
| ~ a0
| ~ b0
| ~ epred11_0
| ~ q1(esk60_0) ),
inference(cn,[status(thm)],[c_0_640]) ).
cnf(c_0_648,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_641,c_0_579])]) ).
cnf(c_0_649,plain,
( epred11_0
| p(X1,X2)
| ~ p(X3,esk57_0) ),
inference(spm,[status(thm)],[c_0_642,c_0_639]) ).
cnf(c_0_650,plain,
( epred11_0
| p(esk56_0,X1) ),
inference(ef,[status(thm)],[c_0_643]) ).
cnf(c_0_651,plain,
( a0
| b0
| epred12_0
| ~ epred11_0
| ~ q1(esk60_0) ),
inference(cn,[status(thm)],[c_0_644]) ).
cnf(c_0_652,plain,
( a0
| b0
| epred12_0
| q1(X1)
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_645]) ).
cnf(c_0_653,plain,
( b0
| epred12_0
| ~ a0
| ~ q1(esk60_0)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_654,plain,
( epred12_0
| ~ epred11_0
| ~ b0
| ~ q1(esk60_0) ),
inference(csr,[status(thm)],[c_0_646,c_0_647]) ).
cnf(c_0_655,plain,
( epred11_0
| ~ p(esk59_0,esk59_0)
| ~ p(X1,esk57_0) ),
inference(spm,[status(thm)],[c_0_648,c_0_639]) ).
cnf(c_0_656,plain,
( epred11_0
| p(X1,X2) ),
inference(spm,[status(thm)],[c_0_649,c_0_650]) ).
cnf(c_0_657,plain,
( b0
| q1(X1)
| epred12_0
| ~ a0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_658,plain,
( epred12_0
| b0
| a0
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_651,c_0_652]) ).
fof(c_0_659,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_660,plain,
( q1(X1)
| epred12_0
| ~ a0
| ~ b0
| ~ b0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_661,plain,
( epred12_0
| ~ epred11_0
| ~ a0
| ~ q1(esk60_0) ),
inference(csr,[status(thm)],[c_0_653,c_0_654]) ).
cnf(c_0_662,plain,
epred11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_656]),c_0_656]) ).
cnf(c_0_663,plain,
( epred12_0
| b0
| q1(X1)
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_657,c_0_658]) ).
fof(c_0_664,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_659]) ).
fof(c_0_665,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_659]),c_0_621]) ).
cnf(c_0_666,plain,
( epred12_0
| q1(X1)
| ~ a0
| ~ b0
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_660]) ).
cnf(c_0_667,plain,
( epred12_0
| ~ a0
| ~ q1(esk60_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_661,c_0_662])]) ).
cnf(c_0_668,plain,
( epred12_0
| b0
| q1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_663,c_0_662])]) ).
cnf(c_0_669,plain,
( epred12_0
| b0
| a0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_658,c_0_662])]) ).
fof(c_0_670,negated_conjecture,
! [X152,X154] :
( ( ~ p1(X152)
| q1(X152)
| ~ epred13_0 )
& ( ~ q1(esk1_0)
| r1(esk1_0)
| ~ epred13_0 )
& ( p1(X154)
| ~ epred13_0 )
& ( ~ r1(X154)
| ~ 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_664])])])])]) ).
fof(c_0_671,plain,
! [X297,X298,X300,X301,X302] :
( ( r1(esk63_0)
| p(f(X300),X300)
| ~ q1(X297)
| p(X297,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| ~ q1(X297)
| p(X297,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| ~ q1(X297)
| p(X297,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| ~ q1(X297)
| p(X297,esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| q1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| q1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| ~ r1(X298)
| p(esk62_0,X298)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| ~ r1(X298)
| p(esk62_0,X298)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| ~ r1(X298)
| p(esk62_0,X298)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| ~ r1(X298)
| p(esk62_0,X298)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| r1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| r1(esk62_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| ~ s1(esk61_0)
| p(X297,X298)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| ~ s1(esk61_0)
| p(X297,X298)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| ~ s1(esk61_0)
| p(X297,X298)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| ~ s1(esk61_0)
| p(X297,X298)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| s1(esk61_0)
| ~ epred12_0
| epred13_0 )
& ( r1(esk63_0)
| p(f(X300),X300)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X300)
| p(f(X300),X300)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0
| epred13_0 )
& ( q(f(esk63_0),esk63_0)
| ~ p(X301,X302)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0
| epred13_0 )
& ( ~ q(X301,X302)
| ~ p(X301,X302)
| ~ 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_665])])])])]) ).
cnf(c_0_672,plain,
( a0
| q1(X1)
| epred12_0
| ~ b0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_673,plain,
( epred12_0
| q1(X1)
| ~ b0
| ~ a0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_666,c_0_662])]) ).
cnf(c_0_674,plain,
( epred12_0
| b0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_668]),c_0_669]) ).
cnf(c_0_675,negated_conjecture,
( r1(esk1_0)
| ~ q1(esk1_0)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_676,negated_conjecture,
( ~ r1(X1)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_677,negated_conjecture,
( q1(X1)
| ~ p1(X1)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_678,negated_conjecture,
( p1(X1)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_679,plain,
( p(f(X1),X1)
| s1(esk61_0)
| epred13_0
| ~ r1(X1)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_680,plain,
( epred12_0
| a0
| q1(X1)
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_672,c_0_658]) ).
cnf(c_0_681,plain,
( epred12_0
| q1(X1)
| ~ a0 ),
inference(spm,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_682,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_671]) ).
cnf(c_0_683,plain,
( r1(esk63_0)
| p(f(X1),X1)
| s1(esk61_0)
| epred13_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_684,negated_conjecture,
( ~ epred13_0
| ~ q1(esk1_0) ),
inference(csr,[status(thm)],[c_0_675,c_0_676]) ).
cnf(c_0_685,negated_conjecture,
( q1(X1)
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_677,c_0_678]) ).
cnf(c_0_686,plain,
( p(f(X1),X1)
| p(X2,X3)
| epred13_0
| ~ r1(X1)
| ~ s1(esk61_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_687,plain,
( p(f(X1),X1)
| s1(esk61_0)
| ~ epred12_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[c_0_679,c_0_676]) ).
cnf(c_0_688,plain,
( epred12_0
| ~ b0
| ~ q1(esk60_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_654,c_0_662])]) ).
cnf(c_0_689,plain,
( epred12_0
| q1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_680,c_0_662])]),c_0_681]) ).
cnf(c_0_690,plain,
( epred13_0
| p(f(X1),X1)
| p(X2,X3)
| r1(esk63_0)
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_682,c_0_683]) ).
cnf(c_0_691,negated_conjecture,
~ epred13_0,
inference(spm,[status(thm)],[c_0_684,c_0_685]) ).
cnf(c_0_692,plain,
( q(f(esk63_0),esk63_0)
| r1(esk62_0)
| epred13_0
| ~ p(X1,X2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_693,plain,
( p(f(X1),X1)
| epred13_0
| ~ r1(X1)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_694,plain,
( p(f(X1),X1)
| p(X2,X3)
| ~ epred12_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_686,c_0_687]),c_0_676]) ).
cnf(c_0_695,plain,
epred12_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_689]),c_0_674]) ).
cnf(c_0_696,plain,
( p(f(X1),X1)
| p(X2,X3)
| r1(esk63_0)
| ~ epred12_0 ),
inference(sr,[status(thm)],[c_0_690,c_0_691]) ).
cnf(c_0_697,plain,
( q(f(esk63_0),esk63_0)
| r1(esk62_0)
| ~ epred12_0
| ~ p(X1,X2) ),
inference(sr,[status(thm)],[c_0_692,c_0_691]) ).
cnf(c_0_698,plain,
( p(f(X1),X1)
| ~ epred12_0
| ~ p(esk61_0,esk62_0)
| ~ r1(X1) ),
inference(csr,[status(thm)],[c_0_693,c_0_676]) ).
cnf(c_0_699,plain,
( p(f(X1),X1)
| p(X2,X3)
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_694,c_0_695])]) ).
cnf(c_0_700,plain,
( r1(esk62_0)
| epred13_0
| ~ q(X1,X2)
| ~ p(X1,X2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_701,plain,
( p(f(X1),X1)
| p(X2,X3)
| r1(esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_696,c_0_695])]) ).
cnf(c_0_702,plain,
( q(f(esk63_0),esk63_0)
| r1(esk62_0)
| ~ p(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_697,c_0_695])]) ).
cnf(c_0_703,plain,
( p(f(X1),X1)
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_698,c_0_695])]),c_0_699]) ).
cnf(c_0_704,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_671]) ).
cnf(c_0_705,plain,
( q(f(esk63_0),esk63_0)
| s1(esk61_0)
| epred13_0
| ~ p(X1,X2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_706,plain,
( r1(esk62_0)
| ~ epred12_0
| ~ p(X1,X2)
| ~ q(X1,X2) ),
inference(sr,[status(thm)],[c_0_700,c_0_691]) ).
cnf(c_0_707,plain,
( p(f(X1),X1)
| r1(esk63_0) ),
inference(ef,[status(thm)],[c_0_701]) ).
cnf(c_0_708,plain,
( q(f(esk63_0),esk63_0)
| r1(esk62_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_702,c_0_703]) ).
cnf(c_0_709,plain,
( p(X3,X4)
| epred13_0
| ~ q(X1,X2)
| ~ p(X1,X2)
| ~ s1(esk61_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_710,plain,
( s1(esk61_0)
| epred13_0
| ~ q(X1,X2)
| ~ p(X1,X2)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_711,plain,
( epred13_0
| p(X1,X2)
| q(f(esk63_0),esk63_0)
| ~ epred12_0
| ~ p(X3,X4) ),
inference(csr,[status(thm)],[c_0_704,c_0_705]) ).
cnf(c_0_712,plain,
( r1(esk62_0)
| ~ p(X1,X2)
| ~ q(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_706,c_0_695])]) ).
cnf(c_0_713,plain,
( q(f(esk63_0),esk63_0)
| r1(esk62_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_702,c_0_707]),c_0_708]) ).
cnf(c_0_714,plain,
( epred13_0
| p(X1,X2)
| ~ epred12_0
| ~ p(X3,X4)
| ~ q(X3,X4) ),
inference(csr,[status(thm)],[c_0_709,c_0_710]) ).
cnf(c_0_715,plain,
( p(X1,X2)
| q(f(esk63_0),esk63_0)
| ~ epred12_0
| ~ p(X3,X4) ),
inference(sr,[status(thm)],[c_0_711,c_0_691]) ).
cnf(c_0_716,plain,
( r1(esk62_0)
| ~ p(f(esk63_0),esk63_0) ),
inference(spm,[status(thm)],[c_0_712,c_0_713]) ).
cnf(c_0_717,plain,
( p(X1,X2)
| ~ epred12_0
| ~ p(X3,X4)
| ~ q(X3,X4) ),
inference(sr,[status(thm)],[c_0_714,c_0_691]) ).
cnf(c_0_718,plain,
( p(X1,X2)
| q(f(esk63_0),esk63_0)
| ~ p(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_715,c_0_695])]) ).
cnf(c_0_719,plain,
( r1(esk62_0)
| ~ r1(esk63_0) ),
inference(spm,[status(thm)],[c_0_716,c_0_703]) ).
cnf(c_0_720,plain,
( p(X1,X2)
| ~ p(X3,X4)
| ~ q(X3,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_717,c_0_695])]) ).
cnf(c_0_721,plain,
( p(X1,X2)
| q(f(esk63_0),esk63_0)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_718,c_0_703]) ).
cnf(c_0_722,plain,
r1(esk62_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_707]),c_0_719]) ).
cnf(c_0_723,plain,
( epred13_0
| ~ q(X1,X2)
| ~ p(X1,X2)
| ~ p(esk61_0,esk62_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_724,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_671]) ).
cnf(c_0_725,plain,
( p(X1,X2)
| ~ q(f(X3),X3)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_720,c_0_703]) ).
cnf(c_0_726,plain,
( p(X1,X2)
| q(f(esk63_0),esk63_0) ),
inference(spm,[status(thm)],[c_0_721,c_0_722]) ).
cnf(c_0_727,plain,
( ~ epred12_0
| ~ p(esk61_0,esk62_0)
| ~ p(X1,X2)
| ~ q(X1,X2) ),
inference(sr,[status(thm)],[c_0_723,c_0_691]) ).
cnf(c_0_728,plain,
( q(f(esk63_0),esk63_0)
| ~ epred12_0
| ~ p(esk61_0,esk62_0)
| ~ p(X1,X2) ),
inference(sr,[status(thm)],[c_0_724,c_0_691]) ).
cnf(c_0_729,plain,
( p(X1,X2)
| r1(esk63_0)
| ~ q(f(X3),X3) ),
inference(spm,[status(thm)],[c_0_720,c_0_707]) ).
cnf(c_0_730,plain,
( p(X1,X2)
| p(X3,X4)
| ~ r1(esk63_0) ),
inference(spm,[status(thm)],[c_0_725,c_0_726]) ).
cnf(c_0_731,plain,
( ~ p(esk61_0,esk62_0)
| ~ p(X1,X2)
| ~ q(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_727,c_0_695])]) ).
cnf(c_0_732,plain,
( 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_728,c_0_695])]),c_0_718]) ).
cnf(c_0_733,plain,
( p(X1,X2)
| p(X3,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_726]),c_0_730]) ).
cnf(c_0_734,plain,
( ~ p(f(esk63_0),esk63_0)
| ~ p(esk61_0,esk62_0) ),
inference(spm,[status(thm)],[c_0_731,c_0_732]) ).
cnf(c_0_735,plain,
p(X1,X2),
inference(ef,[status(thm)],[c_0_733]) ).
cnf(c_0_736,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_734,c_0_735]),c_0_735])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN938+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:50:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.63/1.85 % Version : CSE_E---1.7
% 1.63/1.85 % Problem : theBenchmark.p
% 1.63/1.85 % SZS status Theorem for theBenchmark.p
% 1.63/1.85 % SZS output start CNFRefutation
% See solution above
% 1.63/1.86 % Total time : 1.424s
%------------------------------------------------------------------------------