TSTP Solution File: SYN938+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 : 600s
% DateTime : Thu Jul 21 06:06:18 EDT 2022
% Result : Theorem 0.24s 1.40s
% Output : CNFRefutation 0.24s
% 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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,
! [X8,X9,X10,X13,X14,X15,X15,X18,X19,X19] :
( ( q1(f(esk8_0))
| q1(f(X13))
| q1(f(X8))
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| q1(f(X13))
| q1(f(X8))
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| q1(f(X8))
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| q1(f(X8))
| epred1_0 )
& ( q1(f(esk8_0))
| p1(f(X15))
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( q1(f(esk8_0))
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( q1(f(esk8_0))
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| q1(f(X8))
| epred1_0 )
& ( q1(f(esk8_0))
| q1(f(X13))
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| q1(f(X13))
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| p1(f(X10))
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| q1(f(X13))
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| q1(f(X13))
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| r1(X10)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| q1(f(X13))
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| p1(f(X15))
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| r1(X15)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( q1(f(esk8_0))
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( p1(f(X19))
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( r1(X19)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 )
& ( ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X18)
| ~ q1(X18)
| ~ r1(esk6_0)
| ~ r1(esk7_0)
| ~ p1(X14)
| ~ q1(X14)
| ~ r1(esk5_0)
| ~ r1(esk4_0)
| ~ p1(X9)
| ~ q1(X9)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])]) ).
cnf(c_0_4,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| q1(f(esk8_0)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,plain,
( epred1_0
| q1(f(esk8_0))
| q1(f(X1)) ),
inference(ef,[status(thm)],[c_0_4]) ).
cnf(c_0_6,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| p1(f(X4))
| ~ q1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( epred1_0
| q1(f(esk8_0)) ),
inference(ef,[status(thm)],[c_0_5]) ).
cnf(c_0_8,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_9,plain,
( epred1_0
| q1(f(X1))
| q1(f(X2))
| r1(X4)
| ~ q1(X3)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,plain,
( epred1_0
| p1(f(X1))
| q1(f(X2)) ),
inference(ef,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( epred1_0
| r1(X1)
| q1(f(X2))
| q1(f(X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_7]),c_0_10]) ).
cnf(c_0_12,plain,
( epred1_0
| q1(f(X2))
| ~ q1(X1)
| ~ p1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X3)
| ~ p1(X3)
| ~ r1(esk9_0)
| ~ r1(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( epred1_0
| r1(X1)
| q1(f(X2)) ),
inference(ef,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( epred1_0
| q1(f(X1))
| ~ p1(X2)
| ~ q1(X2) ),
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_12,c_0_7]),c_0_10]),c_0_13]),c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_15,plain,
( epred1_0
| r1(X2)
| p1(f(X4))
| p1(f(X6))
| ~ q1(X1)
| ~ p1(X1)
| ~ q1(X3)
| ~ q1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,plain,
( epred1_0
| q1(f(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_7]),c_0_10]) ).
cnf(c_0_17,plain,
( epred1_0
| p1(f(X3))
| r1(X5)
| ~ q1(X1)
| ~ p1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X2)
| ~ q1(X4)
| ~ p1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_18,plain,
( epred1_0
| r1(X2)
| p1(f(X4))
| r1(X6)
| ~ q1(X1)
| ~ p1(X1)
| ~ q1(X3)
| ~ q1(X5)
| ~ p1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| p1(f(X3))
| ~ p1(X4)
| ~ q1(X5)
| ~ q1(X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| ~ p1(X3)
| ~ p1(X4)
| ~ q1(X3)
| ~ q1(X5)
| ~ q1(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_21,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| p1(f(X3))
| ~ p1(X4)
| ~ q1(X4) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_22,plain,
( epred1_0
| p1(f(X3))
| p1(f(X5))
| ~ q1(X1)
| ~ p1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X2)
| ~ q1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| ~ p1(X3)
| ~ q1(X4)
| ~ q1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_16]),c_0_21]) ).
cnf(c_0_24,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X3)
| ~ q1(X4)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_25,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| ~ p1(X3)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_26,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(X3)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_27,plain,
( epred1_0
| r1(X3)
| r1(X5)
| ~ q1(X1)
| ~ p1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X2)
| ~ p1(X2)
| ~ q1(X4)
| ~ p1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,plain,
( epred1_0
| r1(X2)
| r1(X4)
| r1(X6)
| ~ q1(X1)
| ~ p1(X1)
| ~ q1(X3)
| ~ p1(X3)
| ~ q1(X5)
| ~ p1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,plain,
( epred1_0
| p1(f(X2))
| r1(X2)
| p1(f(X4))
| p1(f(X6))
| ~ q1(X1)
| ~ q1(X3)
| ~ q1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,plain,
( epred1_0
| r1(X1)
| p1(f(X2))
| ~ p1(f(X3)) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_31,plain,
( epred1_0
| p1(f(X2))
| p1(f(X4))
| p1(f(X6))
| ~ q1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X3)
| ~ q1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ p1(f(X3)) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_33,plain,
( epred1_0
| r1(X4)
| ~ q1(X1)
| ~ p1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X2)
| ~ p1(X2)
| ~ r1(esk7_0)
| ~ r1(esk6_0)
| ~ q1(X3)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_34,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_27,c_0_28]),c_0_28]) ).
cnf(c_0_35,plain,
( epred1_0
| r1(X1)
| p1(f(X1))
| ~ q1(X2)
| ~ q1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_30]),c_0_30]) ).
fof(c_0_36,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_37,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X3)
| ~ q1(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_32]) ).
cnf(c_0_38,plain,
( epred1_0
| ~ q1(X1)
| ~ p1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X2)
| ~ p1(X2)
| ~ r1(esk7_0)
| ~ r1(esk6_0)
| ~ q1(X3)
| ~ p1(X3)
| ~ r1(esk9_0)
| ~ r1(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_39,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_33,c_0_34]),c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_40,plain,
( epred1_0
| r1(X1)
| p1(f(X1))
| ~ q1(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_16]) ).
fof(c_0_41,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_36]),c_0_1]) ).
cnf(c_0_42,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_16]) ).
cnf(c_0_43,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(csr,[status(thm)],[c_0_38,c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_44,plain,
( epred1_0
| r1(X1)
| p1(f(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_16]) ).
fof(c_0_45,plain,
! [X10,X12,X14,X15,X18,X16,X17] :
( ( p1(esk11_0)
| ~ a1(X10)
| b(X10)
| c(X10)
| ~ epred1_0
| epred2_0 )
& ( e(esk11_0)
| ~ a1(X10)
| b(X10)
| c(X10)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X14)
| g(X14)
| s(X14,f(X14))
| ~ a1(X10)
| b(X10)
| c(X10)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X15)
| g(X15)
| c(f(X15))
| ~ a1(X10)
| b(X10)
| c(X10)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk11_0,X18)
| p1(X18)
| ~ a1(X10)
| b(X10)
| c(X10)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X16)
| ~ g(X16)
| ~ a1(X10)
| b(X10)
| c(X10)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X17)
| ~ c(X17)
| ~ a1(X10)
| b(X10)
| c(X10)
| ~ epred1_0
| epred2_0 )
& ( p1(esk11_0)
| a1(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( e(esk11_0)
| a1(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X14)
| g(X14)
| s(X14,f(X14))
| a1(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X15)
| g(X15)
| c(f(X15))
| a1(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk11_0,X18)
| p1(X18)
| a1(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X16)
| ~ g(X16)
| a1(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X17)
| ~ c(X17)
| a1(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( p1(esk11_0)
| ~ b(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( e(esk11_0)
| ~ b(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X14)
| g(X14)
| s(X14,f(X14))
| ~ b(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X15)
| g(X15)
| c(f(X15))
| ~ b(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk11_0,X18)
| p1(X18)
| ~ b(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X16)
| ~ g(X16)
| ~ b(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X17)
| ~ c(X17)
| ~ b(esk10_0)
| ~ epred1_0
| epred2_0 )
& ( p1(esk11_0)
| ~ a1(X12)
| ~ c(X12)
| ~ epred1_0
| epred2_0 )
& ( e(esk11_0)
| ~ a1(X12)
| ~ c(X12)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X14)
| g(X14)
| s(X14,f(X14))
| ~ a1(X12)
| ~ c(X12)
| ~ epred1_0
| epred2_0 )
& ( ~ e(X15)
| g(X15)
| c(f(X15))
| ~ a1(X12)
| ~ c(X12)
| ~ epred1_0
| epred2_0 )
& ( ~ s(esk11_0,X18)
| p1(X18)
| ~ a1(X12)
| ~ c(X12)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X16)
| ~ g(X16)
| ~ a1(X12)
| ~ c(X12)
| ~ epred1_0
| epred2_0 )
& ( ~ p1(X17)
| ~ c(X17)
| ~ a1(X12)
| ~ c(X12)
| ~ epred1_0
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])])]) ).
cnf(c_0_46,plain,
( epred1_0
| p1(f(X3))
| ~ q1(X1)
| ~ p1(X1)
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ q1(X2)
| ~ q1(X4)
| ~ p1(X4)
| ~ r1(esk9_0)
| ~ r1(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2))
| ~ r1(esk4_0)
| ~ r1(esk5_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_16]) ).
cnf(c_0_48,plain,
( epred1_0
| ~ p1(f(X1))
| ~ p1(X2)
| ~ p1(X3)
| ~ q1(X2)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_16]) ).
cnf(c_0_49,plain,
( epred1_0
| r1(X1)
| r1(X2)
| p1(f(X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_50,plain,
( epred2_0
| c(X1)
| b(X1)
| p1(esk11_0)
| ~ epred1_0
| ~ a1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
( epred2_0
| p1(esk11_0)
| ~ epred1_0
| ~ c(X1)
| ~ a1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( epred1_0
| p1(f(X1))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X2)
| ~ q1(X3)
| ~ q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_16]),c_0_47]) ).
cnf(c_0_53,plain,
( epred1_0
| r1(X1)
| ~ p1(X2)
| ~ p1(X3)
| ~ q1(X2)
| ~ q1(X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_44]) ).
cnf(c_0_54,plain,
( epred1_0
| r1(X1)
| p1(f(X2)) ),
inference(ef,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( epred2_0
| ~ epred1_0
| ~ b(esk10_0)
| ~ g(X1)
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( epred2_0
| c(f(X1))
| g(X1)
| ~ epred1_0
| ~ b(esk10_0)
| ~ e(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( epred2_0
| b(X1)
| p1(esk11_0)
| ~ epred1_0
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
( epred2_0
| a1(esk10_0)
| p1(esk11_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,plain,
( epred2_0
| p1(esk11_0)
| ~ epred1_0
| ~ b(esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,plain,
( epred1_0
| p1(f(X1))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X2)
| ~ q1(X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_16]) ).
cnf(c_0_61,plain,
( epred1_0
| r1(X1)
| ~ p1(X2)
| ~ q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_16]),c_0_54]) ).
cnf(c_0_62,plain,
( epred2_0
| c(f(X1))
| ~ epred1_0
| ~ e(X1)
| ~ b(esk10_0)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,plain,
( epred2_0
| e(esk11_0)
| ~ epred1_0
| ~ b(esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_64,plain,
( epred2_0
| p1(esk11_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_65,plain,
( epred1_0
| p1(f(X1))
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ r1(esk8_0)
| ~ r1(esk9_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_16]),c_0_47]) ).
cnf(c_0_66,plain,
( epred1_0
| r1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_16]),c_0_54]) ).
cnf(c_0_67,plain,
( epred2_0
| a1(esk10_0)
| ~ epred1_0
| ~ g(X1)
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68,plain,
( epred2_0
| a1(esk10_0)
| c(f(X1))
| g(X1)
| ~ epred1_0
| ~ e(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_69,plain,
( epred2_0
| a1(esk10_0)
| p1(X1)
| ~ epred1_0
| ~ s(esk11_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_70,plain,
( epred2_0
| a1(esk10_0)
| s(X1,f(X1))
| g(X1)
| ~ epred1_0
| ~ e(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_71,plain,
( epred2_0
| a1(esk10_0)
| e(esk11_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_72,plain,
( epred2_0
| ~ epred1_0
| ~ b(esk10_0)
| ~ c(X1)
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_73,plain,
( epred2_0
| c(f(esk11_0))
| ~ epred1_0
| ~ b(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_74,plain,
( epred1_0
| ~ r1(esk4_0)
| ~ r1(esk5_0)
| ~ r1(esk8_0)
| ~ r1(esk9_0)
| ~ p1(X1)
| ~ p1(X2)
| ~ q1(X1)
| ~ q1(X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_65]) ).
cnf(c_0_75,plain,
( epred1_0
| p1(f(X1))
| p1(f(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_66]),c_0_66]) ).
cnf(c_0_76,plain,
( epred2_0
| c(f(X1))
| a1(esk10_0)
| ~ epred1_0
| ~ e(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,plain,
( epred2_0
| g(esk11_0)
| a1(esk10_0)
| p1(f(esk11_0))
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_78,plain,
( epred2_0
| p1(X1)
| ~ epred1_0
| ~ b(esk10_0)
| ~ s(esk11_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_79,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| ~ epred1_0
| ~ b(esk10_0)
| ~ e(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_80,plain,
( epred2_0
| ~ epred1_0
| ~ b(esk10_0)
| ~ p1(f(esk11_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
( epred1_0
| ~ p1(X1)
| ~ p1(X2)
| ~ q1(X1)
| ~ q1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_66]),c_0_66]),c_0_66]),c_0_66]) ).
cnf(c_0_82,plain,
( epred1_0
| p1(f(X1)) ),
inference(ef,[status(thm)],[c_0_75]) ).
cnf(c_0_83,plain,
( epred2_0
| c(X1)
| b(X1)
| s(X2,f(X2))
| g(X2)
| ~ epred1_0
| ~ a1(X1)
| ~ e(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_84,plain,
( epred2_0
| s(X2,f(X2))
| g(X2)
| ~ epred1_0
| ~ c(X1)
| ~ a1(X1)
| ~ e(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_85,plain,
( epred2_0
| a1(esk10_0)
| ~ epred1_0
| ~ c(X1)
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_86,plain,
( epred2_0
| c(f(esk11_0))
| a1(esk10_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_71]),c_0_64]) ).
cnf(c_0_87,plain,
( epred2_0
| a1(esk10_0)
| p1(f(esk11_0))
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_77]),c_0_64]) ).
cnf(c_0_88,plain,
( epred2_0
| g(esk11_0)
| ~ epred1_0
| ~ b(esk10_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_63]),c_0_80]) ).
cnf(c_0_89,plain,
( epred2_0
| c(X1)
| b(X1)
| e(esk11_0)
| ~ epred1_0
| ~ a1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_90,plain,
( epred2_0
| e(esk11_0)
| ~ epred1_0
| ~ c(X1)
| ~ a1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_91,plain,
( epred2_0
| c(X1)
| b(X1)
| c(f(X2))
| g(X2)
| ~ epred1_0
| ~ a1(X1)
| ~ e(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_92,plain,
( epred2_0
| c(f(X2))
| g(X2)
| ~ epred1_0
| ~ c(X1)
| ~ a1(X1)
| ~ e(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_93,plain,
( epred1_0
| ~ p1(X1)
| ~ q1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_16]),c_0_82]) ).
cnf(c_0_94,plain,
( epred2_0
| c(X1)
| b(X1)
| p1(X2)
| ~ epred1_0
| ~ a1(X1)
| ~ s(esk11_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_95,plain,
( epred2_0
| p1(X2)
| ~ epred1_0
| ~ c(X1)
| ~ a1(X1)
| ~ s(esk11_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_96,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| b(X2)
| ~ epred1_0
| ~ e(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_97,plain,
( epred2_0
| a1(esk10_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_98,plain,
( epred2_0
| ~ epred1_0
| ~ b(esk10_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_88]),c_0_64]) ).
cnf(c_0_99,plain,
( epred2_0
| e(esk11_0)
| b(X1)
| ~ epred1_0
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,plain,
( epred2_0
| c(X1)
| b(X1)
| ~ epred1_0
| ~ a1(X1)
| ~ g(X2)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_101,plain,
( epred2_0
| ~ epred1_0
| ~ c(X1)
| ~ a1(X1)
| ~ g(X2)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_102,plain,
( epred2_0
| g(X1)
| c(f(X1))
| b(X2)
| ~ epred1_0
| ~ e(X1)
| ~ a1(X2) ),
inference(csr,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_103,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_16]),c_0_82]) ).
cnf(c_0_104,plain,
( epred2_0
| b(X1)
| p1(X2)
| ~ epred1_0
| ~ s(esk11_0,X2)
| ~ a1(X1) ),
inference(csr,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_105,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| ~ epred1_0
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_106,plain,
( epred2_0
| e(esk11_0)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_97]),c_0_98]) ).
fof(c_0_107,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_108,plain,
( epred2_0
| b(X1)
| ~ epred1_0
| ~ g(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_109,plain,
( epred2_0
| g(X1)
| c(f(X1))
| b(X2)
| ~ e(X1)
| ~ a1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_110,plain,
( epred2_0
| a1(esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_103])]) ).
cnf(c_0_111,plain,
( epred2_0
| ~ b(esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_103])]) ).
cnf(c_0_112,plain,
( epred2_0
| b(X1)
| p1(X2)
| ~ s(esk11_0,X2)
| ~ a1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103])]) ).
cnf(c_0_113,plain,
( epred2_0
| s(X1,f(X1))
| g(X1)
| ~ e(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_103])]) ).
cnf(c_0_114,plain,
( epred2_0
| e(esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_103])]) ).
fof(c_0_115,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_107]),c_0_36]) ).
cnf(c_0_116,plain,
( epred2_0
| b(X1)
| ~ g(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_103])]) ).
cnf(c_0_117,plain,
( epred2_0
| g(X1)
| c(f(X1))
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_118,plain,
( epred2_0
| g(esk11_0)
| b(X1)
| p1(f(esk11_0))
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
fof(c_0_119,plain,
! [X10,X11,X12,X13,X14,X15,X18,X20] :
( ( p1(X18)
| p1(X15)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| p1(X15)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| p1(X15)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| p1(X15)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk12_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| p1(X15)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| p1(X15)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| p1(X15)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| p1(X15)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| s1(esk13_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| p1(X15)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| p1(X15)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| p1(X15)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| p1(X15)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| r(esk13_0,esk14_0)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| p1(X15)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| p1(X15)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| p1(X15)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| p1(X15)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ s1(X10)
| p1(X10)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| p1(X15)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| p1(X15)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| p1(X15)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| p1(X15)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ r(X11,X12)
| q(X11,X12)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| p1(X15)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| p1(X15)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| p1(X15)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| p1(X15)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 )
& ( p1(X18)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 )
& ( q1(esk17_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 )
& ( ~ p1(esk18_0)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 )
& ( ~ r1(X20)
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(X13)
| ~ q(X13,X14)
| ~ epred2_0
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])])])])]) ).
cnf(c_0_120,plain,
( epred2_0
| c(X1)
| b(X1)
| ~ epred1_0
| ~ a1(X1)
| ~ c(X2)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_121,plain,
( epred2_0
| ~ epred1_0
| ~ c(X1)
| ~ a1(X1)
| ~ c(X2)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_122,plain,
( epred2_0
| c(f(X1))
| b(X2)
| ~ e(X1)
| ~ a1(X2)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_123,plain,
( epred2_0
| p1(esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_103])]) ).
cnf(c_0_124,plain,
( epred2_0
| g(esk11_0)
| p1(f(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_110]),c_0_111]) ).
cnf(c_0_125,plain,
( epred3_0
| q(X1,X2)
| p1(X3)
| ~ epred2_0
| ~ r(X1,X2)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_126,plain,
( epred3_0
| q(X1,X2)
| p1(X3)
| p1(X4)
| ~ epred2_0
| ~ r(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_127,plain,
( epred2_0
| b(X1)
| ~ epred1_0
| ~ c(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_128,plain,
( epred2_0
| c(f(esk11_0))
| b(X1)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_114]),c_0_123]) ).
cnf(c_0_129,plain,
( epred2_0
| b(X1)
| p1(f(esk11_0))
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_124]),c_0_123]) ).
cnf(c_0_130,plain,
( epred3_0
| p1(X3)
| ~ epred2_0
| ~ q(X1,X2)
| ~ p1(X1)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_131,plain,
( epred3_0
| p1(X3)
| p1(X4)
| ~ epred2_0
| ~ q(X1,X2)
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_132,plain,
( epred3_0
| q(X1,X2)
| ~ epred2_0
| ~ r(X1,X2)
| ~ p1(esk16_0)
| ~ p1(esk15_0)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_133,plain,
( epred3_0
| q(X1,X2)
| p1(X3)
| ~ epred2_0
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_134,plain,
( epred2_0
| b(X1)
| ~ c(X2)
| ~ a1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_103])]) ).
cnf(c_0_135,plain,
( epred2_0
| c(f(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_110]),c_0_111]) ).
cnf(c_0_136,plain,
( epred2_0
| p1(f(esk11_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_110]),c_0_111]) ).
cnf(c_0_137,plain,
( epred3_0
| ~ epred2_0
| ~ q(X1,X2)
| ~ p1(X1)
| ~ p1(esk16_0)
| ~ p1(esk15_0)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_138,plain,
( epred3_0
| p1(X1)
| ~ epred2_0
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_139,plain,
( epred3_0
| q(X1,X2)
| ~ epred2_0
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_132,c_0_133]),c_0_133]),c_0_133]) ).
cnf(c_0_140,plain,
( epred3_0
| r(esk13_0,esk14_0)
| ~ epred2_0
| ~ p1(esk16_0)
| ~ p1(esk15_0)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_141,plain,
( epred3_0
| p1(X1)
| ~ epred2_0
| ~ s1(X1)
| ~ p1(esk16_0)
| ~ p1(esk15_0)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_142,plain,
( epred3_0
| s1(esk13_0)
| ~ epred2_0
| ~ p1(esk16_0)
| ~ p1(esk15_0)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_143,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ epred2_0
| ~ s1(X1)
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_144,plain,
( epred3_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ epred2_0
| ~ s1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_145,plain,
( epred2_0
| b(X1)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_146,plain,
( epred3_0
| s1(esk13_0)
| p1(X1)
| ~ epred2_0
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_147,plain,
( epred3_0
| s1(esk13_0)
| p1(X1)
| p1(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_148,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_149,plain,
( epred3_0
| ~ epred2_0
| ~ q(X1,X2)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_137,c_0_138]),c_0_138]),c_0_138]) ).
cnf(c_0_150,plain,
( epred3_0
| q(esk13_0,esk14_0)
| ~ epred2_0
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(esk18_0) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_151,plain,
( epred3_0
| p1(esk13_0)
| ~ epred2_0
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(esk18_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_152,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ epred2_0
| ~ s1(X1) ),
inference(csr,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_153,plain,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_110]),c_0_111]) ).
cnf(c_0_154,plain,
( epred3_0
| s1(esk13_0)
| p1(X1)
| ~ epred2_0 ),
inference(csr,[status(thm)],[c_0_146,c_0_147]) ).
fof(c_0_155,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_148]),c_0_107]) ).
cnf(c_0_156,plain,
( epred3_0
| r(esk13_0,esk14_0)
| p1(X1)
| p1(X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_157,plain,
( epred3_0
| ~ epred2_0
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(esk18_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_158,plain,
( epred3_0
| p1(X1)
| p1(X2)
| ~ s1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153])]) ).
cnf(c_0_159,plain,
( epred3_0
| s1(esk13_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_153])]) ).
fof(c_0_160,plain,
! [X7,X9,X11,X13,X17,X18,X19,X20,X21] :
( ( s1(esk22_0)
| a(X11,esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(X11,esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(X11,esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(X11,esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(X11,esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(X11,esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| a(esk21_1(X11),esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(esk21_1(X11),esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(esk21_1(X11),esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(esk21_1(X11),esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(esk21_1(X11),esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(esk21_1(X11),esk21_1(X11))
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| ~ a(X13,X13)
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| ~ a(X13,X13)
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| ~ a(X13,X13)
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| ~ a(X13,X13)
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| ~ a(X13,X13)
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| ~ a(X13,X13)
| p1(X7)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| a(X11,esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(X11,esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(X11,esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(X11,esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(X11,esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(X11,esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| a(esk21_1(X11),esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(esk21_1(X11),esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(esk21_1(X11),esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(esk21_1(X11),esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(esk21_1(X11),esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(esk21_1(X11),esk21_1(X11))
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| ~ a(X13,X13)
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| ~ a(X13,X13)
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| ~ a(X13,X13)
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| ~ a(X13,X13)
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| ~ a(X13,X13)
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| ~ a(X13,X13)
| q1(esk19_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| a(X11,esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(X11,esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(X11,esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(X11,esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(X11,esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(X11,esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| a(esk21_1(X11),esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(esk21_1(X11),esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(esk21_1(X11),esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(esk21_1(X11),esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(esk21_1(X11),esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(esk21_1(X11),esk21_1(X11))
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| ~ a(X13,X13)
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| ~ a(X13,X13)
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| ~ a(X13,X13)
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| ~ a(X13,X13)
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| ~ a(X13,X13)
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| ~ a(X13,X13)
| ~ p1(esk20_0)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| a(X11,esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(X11,esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(X11,esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(X11,esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(X11,esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(X11,esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| a(esk21_1(X11),esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| a(esk21_1(X11),esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| a(esk21_1(X11),esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| a(esk21_1(X11),esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| a(esk21_1(X11),esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| a(esk21_1(X11),esk21_1(X11))
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( s1(esk22_0)
| ~ a(X13,X13)
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( s1(esk23_0)
| ~ a(X13,X13)
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( r(esk23_0,esk24_0)
| ~ a(X13,X13)
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ s1(X17)
| p1(X17)
| ~ a(X13,X13)
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ r(X18,X19)
| q(X18,X19)
| ~ a(X13,X13)
| ~ r1(X9)
| ~ epred3_0
| epred4_0 )
& ( ~ p1(X20)
| ~ q(X20,X21)
| ~ a(X13,X13)
| ~ r1(X9)
| ~ epred3_0
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_155])])])])])])]) ).
cnf(c_0_161,plain,
( epred3_0
| r(esk13_0,esk14_0)
| p1(X1)
| ~ epred2_0
| ~ p1(esk18_0) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_162,plain,
( epred3_0
| r(esk13_0,esk14_0)
| p1(X1)
| p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_153])]) ).
cnf(c_0_163,plain,
( epred3_0
| ~ p1(esk15_0)
| ~ p1(esk16_0)
| ~ p1(esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_153])]) ).
cnf(c_0_164,plain,
( epred3_0
| p1(esk13_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
fof(c_0_165,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 )
& ( 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) ) ) ) ) ),
introduced(definition) ).
fof(c_0_166,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 )
& ( q0
=> q0 ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_167,plain,
( epred4_0
| p1(X2)
| ~ epred3_0
| ~ p1(esk20_0)
| ~ a(X1,X1)
| ~ s1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_168,plain,
( epred4_0
| p1(X1)
| p1(X3)
| ~ epred3_0
| ~ a(X2,X2)
| ~ s1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_169,plain,
( epred3_0
| q(X1,X2)
| ~ r(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_153])]) ).
cnf(c_0_170,plain,
( epred3_0
| r(esk13_0,esk14_0)
| p1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_153])]),c_0_162]) ).
cnf(c_0_171,plain,
( epred3_0
| p1(esk13_0)
| p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_164]),c_0_164]) ).
fof(c_0_172,plain,
( ( epred5_0
& ( ! [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) ) ) ) )
=> epred6_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_166]) ).
cnf(c_0_173,plain,
( epred4_0
| q(X2,X3)
| ~ epred3_0
| ~ p1(esk20_0)
| ~ a(X1,X1)
| ~ r(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_174,plain,
( epred4_0
| p1(X1)
| q(X3,X4)
| ~ epred3_0
| ~ a(X2,X2)
| ~ r(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_175,plain,
( epred4_0
| p1(X1)
| a(esk21_1(X2),esk21_1(X2))
| p1(X3)
| ~ epred3_0
| ~ s1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_176,plain,
( epred4_0
| p1(X1)
| ~ epred3_0
| ~ a(X2,X2)
| ~ s1(X1) ),
inference(csr,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_177,plain,
( epred3_0
| ~ q(X1,X2)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_153])]) ).
cnf(c_0_178,plain,
( epred3_0
| q(esk13_0,esk14_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_179,plain,
( epred3_0
| p1(esk13_0) ),
inference(ef,[status(thm)],[c_0_171]) ).
fof(c_0_180,plain,
! [X7,X8,X9,X10,X14,X15] :
( ( ~ q1(X14)
| p1(X14)
| ~ p1(X9)
| q1(X9)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| p1(X15)
| ~ p1(X9)
| q1(X9)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| p1(X15)
| ~ p1(X9)
| q1(X9)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| ~ p1(esk29_0)
| ~ p1(X9)
| q1(X9)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| ~ p1(esk29_0)
| ~ p1(X9)
| q1(X9)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ q1(X14)
| p1(X14)
| p1(X10)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| p1(X15)
| p1(X10)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| p1(X15)
| p1(X10)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| ~ p1(esk29_0)
| p1(X10)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| ~ p1(esk29_0)
| p1(X10)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ q1(X14)
| p1(X14)
| ~ q1(esk28_0)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| p1(X15)
| ~ q1(esk28_0)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| p1(X15)
| ~ q1(esk28_0)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| ~ p1(esk29_0)
| ~ q1(esk28_0)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| ~ p1(esk29_0)
| ~ q1(esk28_0)
| p1(X7)
| ~ epred5_0
| epred6_0 )
& ( ~ q1(X14)
| p1(X14)
| ~ p1(X9)
| q1(X9)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| p1(X15)
| ~ p1(X9)
| q1(X9)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| p1(X15)
| ~ p1(X9)
| q1(X9)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| ~ p1(esk29_0)
| ~ p1(X9)
| q1(X9)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| ~ p1(esk29_0)
| ~ p1(X9)
| q1(X9)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ q1(X14)
| p1(X14)
| p1(X10)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| p1(X15)
| p1(X10)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| p1(X15)
| p1(X10)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| ~ p1(esk29_0)
| p1(X10)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| ~ p1(esk29_0)
| p1(X10)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ q1(X14)
| p1(X14)
| ~ q1(esk28_0)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| p1(X15)
| ~ q1(esk28_0)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| p1(X15)
| ~ q1(esk28_0)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( q1(X15)
| ~ p1(esk29_0)
| ~ q1(esk28_0)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 )
& ( ~ p1(esk30_0)
| ~ p1(esk29_0)
| ~ q1(esk28_0)
| ~ p1(X8)
| ~ epred5_0
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])])])])])]) ).
cnf(c_0_181,plain,
( epred4_0
| ~ epred3_0
| ~ p1(esk20_0)
| ~ a(X1,X1)
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_182,plain,
( epred4_0
| p1(X1)
| ~ epred3_0
| ~ a(X2,X2)
| ~ q(X3,X4)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_183,plain,
( epred4_0
| a(esk21_1(X1),esk21_1(X1))
| q(X2,X3)
| ~ epred3_0
| ~ p1(esk20_0)
| ~ r(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_184,plain,
( epred4_0
| q(X1,X2)
| ~ epred3_0
| ~ a(X3,X3)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_185,plain,
( epred4_0
| a(esk21_1(X1),esk21_1(X1))
| r(esk23_0,esk24_0)
| ~ epred3_0
| ~ p1(esk20_0) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_186,plain,
( epred4_0
| r(esk23_0,esk24_0)
| ~ epred3_0
| ~ p1(esk20_0)
| ~ a(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_187,plain,
( epred4_0
| a(esk21_1(X1),esk21_1(X1))
| p1(X2)
| ~ epred3_0
| ~ p1(esk20_0)
| ~ s1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_188,plain,
( epred4_0
| p1(X1)
| p1(X2)
| ~ epred3_0
| ~ s1(X2) ),
inference(csr,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_189,plain,
( epred3_0
| p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_190,plain,
( epred4_0
| p1(X1)
| a(esk21_1(X2),esk21_1(X2))
| s1(esk23_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_191,plain,
( epred4_0
| p1(X1)
| s1(esk23_0)
| ~ epred3_0
| ~ a(X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_192,plain,
( epred4_0
| p1(X1)
| a(esk21_1(X2),esk21_1(X2))
| q(X3,X4)
| ~ epred3_0
| ~ r(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_193,plain,
( epred6_0
| p1(X2)
| p1(X3)
| q1(X3)
| ~ epred5_0
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_194,plain,
( epred6_0
| p1(X1)
| p1(X2)
| p1(X3)
| q1(X3)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
fof(c_0_195,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 )
& ( q0
=> q0 ) ) ) ) ) )
=> epred5_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_148]) ).
cnf(c_0_196,plain,
( epred4_0
| a(esk21_1(X1),esk21_1(X1))
| ~ epred3_0
| ~ p1(esk20_0)
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_197,plain,
( epred4_0
| ~ epred3_0
| ~ a(X1,X1)
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_198,plain,
( epred4_0
| q(X1,X2)
| ~ epred3_0
| ~ r(X1,X2)
| ~ p1(esk20_0) ),
inference(csr,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_199,plain,
( epred4_0
| r(esk23_0,esk24_0)
| ~ epred3_0
| ~ p1(esk20_0) ),
inference(csr,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_200,plain,
( epred4_0
| p1(X1)
| ~ epred3_0
| ~ s1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_187,c_0_188]),c_0_176]) ).
cnf(c_0_201,plain,
epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_189]),c_0_189]),c_0_189]) ).
cnf(c_0_202,plain,
( epred4_0
| s1(esk23_0)
| p1(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_203,plain,
( epred4_0
| p1(X1)
| a(esk21_1(X2),esk21_1(X2))
| ~ epred3_0
| ~ q(X3,X4)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_204,plain,
( epred4_0
| q(X1,X2)
| p1(X3)
| ~ epred3_0
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[c_0_192,c_0_184]) ).
cnf(c_0_205,plain,
( epred4_0
| p1(X1)
| a(esk21_1(X2),esk21_1(X2))
| r(esk23_0,esk24_0)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_206,plain,
( epred4_0
| p1(X1)
| r(esk23_0,esk24_0)
| ~ epred3_0
| ~ a(X2,X2) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_207,plain,
( epred6_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ epred5_0
| ~ q1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_208,plain,
( epred6_0
| p1(X1)
| p1(X2)
| q1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_193,c_0_194]) ).
fof(c_0_209,plain,
! [X9,X10,X12] :
( ( p1(esk27_0)
| ~ q1(X9)
| p1(X9)
| ~ epred4_0
| epred5_0 )
& ( a0
| ~ p1(X12)
| ~ q1(X9)
| p1(X9)
| ~ epred4_0
| epred5_0 )
& ( ~ b0
| ~ p1(X12)
| ~ q1(X9)
| p1(X9)
| ~ epred4_0
| epred5_0 )
& ( b0
| ~ p1(X12)
| ~ q1(X9)
| p1(X9)
| ~ epred4_0
| epred5_0 )
& ( p1(esk27_0)
| q1(X10)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( a0
| ~ p1(X12)
| q1(X10)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( ~ b0
| ~ p1(X12)
| q1(X10)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( b0
| ~ p1(X12)
| q1(X10)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( p1(esk27_0)
| ~ p1(esk26_0)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( a0
| ~ p1(X12)
| ~ p1(esk26_0)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( ~ b0
| ~ p1(X12)
| ~ p1(esk26_0)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( b0
| ~ p1(X12)
| ~ p1(esk26_0)
| p1(X10)
| ~ epred4_0
| epred5_0 )
& ( p1(esk27_0)
| q1(X10)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 )
& ( a0
| ~ p1(X12)
| q1(X10)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 )
& ( ~ b0
| ~ p1(X12)
| q1(X10)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 )
& ( b0
| ~ p1(X12)
| q1(X10)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 )
& ( p1(esk27_0)
| ~ p1(esk26_0)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 )
& ( a0
| ~ p1(X12)
| ~ p1(esk26_0)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 )
& ( ~ b0
| ~ p1(X12)
| ~ p1(esk26_0)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 )
& ( b0
| ~ p1(X12)
| ~ p1(esk26_0)
| ~ p1(esk25_0)
| ~ epred4_0
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_195])])])])])])])]) ).
cnf(c_0_210,plain,
( epred4_0
| ~ epred3_0
| ~ q(X1,X2)
| ~ p1(esk20_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_211,plain,
( epred4_0
| q(esk23_0,esk24_0)
| ~ epred3_0
| ~ p1(esk20_0) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_212,plain,
( epred4_0
| p1(X1)
| ~ s1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).
cnf(c_0_213,plain,
( epred4_0
| s1(esk23_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_201])]) ).
cnf(c_0_214,plain,
( epred4_0
| p1(X1)
| ~ epred3_0
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_203,c_0_197]) ).
cnf(c_0_215,plain,
( epred4_0
| q(X1,X2)
| p1(X3)
| ~ r(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_201])]) ).
cnf(c_0_216,plain,
( epred4_0
| r(esk23_0,esk24_0)
| p1(X1)
| ~ epred3_0 ),
inference(csr,[status(thm)],[c_0_205,c_0_206]) ).
fof(c_0_217,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 )
& ( 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) ) ) ) ),
introduced(definition) ).
cnf(c_0_218,plain,
( epred6_0
| p1(X2)
| p1(X3)
| ~ epred5_0
| ~ p1(X1)
| ~ q1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_219,plain,
( epred6_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_220,plain,
( epred5_0
| p1(X1)
| q1(X1)
| ~ epred4_0
| ~ p1(X2)
| ~ b0 ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_221,plain,
( epred5_0
| p1(X1)
| q1(X1)
| b0
| ~ epred4_0
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_222,plain,
( epred4_0
| ~ epred3_0
| ~ p1(esk20_0)
| ~ p1(esk23_0) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_223,plain,
( epred4_0
| p1(esk23_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_224,plain,
( epred4_0
| p1(X1)
| ~ q(X2,X3)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_201])]) ).
cnf(c_0_225,plain,
( epred4_0
| q(X1,X2)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_201])]),c_0_215]) ).
cnf(c_0_226,plain,
( epred4_0
| r(esk23_0,esk24_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_201])]) ).
fof(c_0_227,plain,
( ( epred6_0
& ( ! [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) ) ) )
=> epred7_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_217]),c_0_165]) ).
cnf(c_0_228,plain,
( epred6_0
| q1(X2)
| p1(X3)
| q1(X3)
| ~ epred5_0
| ~ p1(X1)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_229,plain,
( epred6_0
| p1(X1)
| p1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_218,c_0_219]),c_0_208]) ).
cnf(c_0_230,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ q1(X1)
| ~ p1(X2)
| ~ b0 ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_231,plain,
( epred5_0
| p1(X1)
| q1(X1)
| ~ epred4_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_232,plain,
( epred4_0
| ~ p1(esk20_0)
| ~ p1(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_201])]) ).
cnf(c_0_233,plain,
( epred4_0
| p1(esk23_0) ),
inference(ef,[status(thm)],[c_0_223]) ).
cnf(c_0_234,plain,
( epred4_0
| ~ q(X1,X2)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_201])]),c_0_224]) ).
cnf(c_0_235,plain,
( epred4_0
| q(esk23_0,esk24_0)
| p1(X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
fof(c_0_236,plain,
! [X6,X8,X10,X11,X13,X13,X15,X16] :
( ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| ~ a1(X6)
| b(X6)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| a1(esk31_0)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| ~ a1(esk32_0)
| b(esk33_0)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| a1(X10)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| a1(X10)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| ~ a(X13,esk34_0)
| ~ a(X13,X13)
| ~ b(X11)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( a1(esk35_0)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( b(X15)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| ~ b(X8)
| ~ epred6_0
| epred7_0 )
& ( ~ a1(X16)
| ~ b(X16)
| a(X13,X13)
| a(X13,esk34_0)
| ~ b(X11)
| ~ b(X8)
| ~ epred6_0
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_227])])])])])])])]) ).
cnf(c_0_237,plain,
( epred6_0
| q1(X2)
| p1(X3)
| ~ epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ q1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_238,plain,
( epred6_0
| p1(X1)
| q1(X2)
| q1(X1)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_228,c_0_229]),c_0_229]) ).
cnf(c_0_239,plain,
( epred5_0
| p1(X1)
| b0
| ~ epred4_0
| ~ q1(X1)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_240,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ b0
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_241,plain,
( epred4_0
| ~ p1(esk20_0) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_242,plain,
( epred4_0
| p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_233]) ).
cnf(c_0_243,plain,
( epred5_0
| p1(X1)
| p1(esk27_0)
| ~ epred4_0
| ~ q1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_244,plain,
( epred5_0
| p1(X1)
| q1(X1)
| p1(esk27_0)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_245,plain,
( epred7_0
| b(esk33_0)
| a(X2,esk34_0)
| a(X2,X2)
| b(X3)
| ~ epred6_0
| ~ b(X1)
| ~ a1(esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_246,plain,
( epred7_0
| a1(X2)
| a(X3,esk34_0)
| a(X3,X3)
| b(X4)
| ~ epred6_0
| ~ b(X1) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_247,plain,
( epred7_0
| a(X3,esk34_0)
| a(X3,X3)
| b(X4)
| ~ epred6_0
| ~ b(X1)
| ~ b(X2) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_248,plain,
( epred6_0
| p1(X2)
| ~ epred5_0
| ~ p1(X1)
| ~ q1(esk28_0)
| ~ p1(esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_249,plain,
( epred6_0
| p1(X1)
| q1(X2)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_237,c_0_229]),c_0_229]),c_0_238]) ).
cnf(c_0_250,plain,
( epred5_0
| b0
| ~ epred4_0
| ~ p1(esk25_0)
| ~ p1(esk26_0)
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_251,plain,
( epred5_0
| ~ epred4_0
| ~ p1(esk25_0)
| ~ p1(esk26_0)
| ~ p1(X1)
| ~ b0 ),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_252,plain,
( epred5_0
| p1(X1)
| ~ epred4_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_239,c_0_231]),c_0_240]) ).
cnf(c_0_253,plain,
epred4_0,
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_254,plain,
( epred5_0
| p1(esk27_0)
| p1(X1)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_255,plain,
( epred7_0
| b(X1)
| a1(X2)
| a(X3,esk34_0)
| a(X3,X3)
| b(X4)
| ~ epred6_0
| ~ a1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_256,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| b(X2)
| ~ epred6_0
| ~ b(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_245,c_0_246]),c_0_247]) ).
cnf(c_0_257,plain,
( epred6_0
| ~ epred5_0
| ~ p1(X1)
| ~ q1(esk28_0)
| ~ p1(esk29_0)
| ~ p1(esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_258,plain,
( epred6_0
| p1(X1)
| ~ epred5_0
| ~ q1(esk28_0)
| ~ p1(esk29_0)
| ~ p1(esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_259,plain,
( epred6_0
| q1(X2)
| ~ epred5_0
| ~ p1(X1)
| ~ p1(X2)
| ~ p1(esk29_0)
| ~ p1(esk30_0) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_260,plain,
( epred6_0
| p1(X1)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_248,c_0_229]),c_0_249]),c_0_229]) ).
cnf(c_0_261,plain,
( epred5_0
| ~ epred4_0
| ~ p1(esk25_0)
| ~ p1(esk26_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_262,plain,
( epred5_0
| p1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_253])]) ).
cnf(c_0_263,plain,
( epred5_0
| p1(esk27_0)
| p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_253])]) ).
cnf(c_0_264,plain,
( epred7_0
| b(X1)
| b(esk33_0)
| a(X2,esk34_0)
| a(X2,X2)
| b(X3)
| ~ epred6_0
| ~ a1(X1)
| ~ a1(esk32_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_265,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| b(X2)
| a1(X3)
| ~ epred6_0
| ~ a1(X4) ),
inference(csr,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_266,plain,
( epred6_0
| ~ epred5_0
| ~ p1(esk29_0)
| ~ p1(esk30_0)
| ~ q1(esk28_0) ),
inference(csr,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_267,plain,
( epred6_0
| q1(X1)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_259,c_0_260]),c_0_260]),c_0_260]),c_0_260]) ).
cnf(c_0_268,plain,
( epred5_0
| ~ p1(esk25_0)
| ~ p1(esk26_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_261,c_0_253])]) ).
cnf(c_0_269,plain,
( epred5_0
| p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_262]) ).
cnf(c_0_270,plain,
( epred7_0
| a1(esk31_0)
| a(X2,esk34_0)
| a(X2,X2)
| a1(esk35_0)
| ~ epred6_0
| ~ b(X1) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_271,plain,
( epred7_0
| a1(esk31_0)
| a1(X1)
| a(X2,esk34_0)
| a(X2,X2)
| b(X3)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_272,plain,
( epred7_0
| a1(X2)
| a(X3,esk34_0)
| a(X3,X3)
| ~ epred6_0
| ~ b(X1)
| ~ b(X4)
| ~ a1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_273,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| b(X2)
| ~ epred6_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_264,c_0_265]),c_0_256]),c_0_256]) ).
cnf(c_0_274,plain,
( epred6_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_260]),c_0_260]) ).
cnf(c_0_275,plain,
epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_269]),c_0_269]) ).
cnf(c_0_276,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| a1(esk35_0)
| a1(esk31_0)
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_277,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| a1(X2)
| ~ epred6_0
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_272,c_0_273]),c_0_273]) ).
cnf(c_0_278,plain,
epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_275])]) ).
cnf(c_0_279,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| a1(esk31_0)
| a1(esk35_0)
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_274]) ).
cnf(c_0_280,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| a1(X2)
| ~ a1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_278])]) ).
cnf(c_0_281,plain,
( epred7_0
| a(X3,esk34_0)
| a(X3,X3)
| ~ epred6_0
| ~ b(X1)
| ~ b(X2)
| ~ b(X4)
| ~ a1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_282,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| a1(esk31_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_275])]),c_0_280]) ).
cnf(c_0_283,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| b(X2)
| ~ a1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_278])]) ).
cnf(c_0_284,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| ~ epred6_0
| ~ b(X2)
| ~ a1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_281,c_0_256]),c_0_256]) ).
cnf(c_0_285,plain,
( epred7_0
| a(X1,esk34_0)
| a(X2,esk34_0)
| a(X1,X1)
| a(X2,X2)
| a1(X3) ),
inference(spm,[status(thm)],[c_0_280,c_0_282]) ).
cnf(c_0_286,plain,
( epred7_0
| a(X1,esk34_0)
| a(X2,esk34_0)
| a(X1,X1)
| a(X2,X2)
| b(X3) ),
inference(spm,[status(thm)],[c_0_283,c_0_282]) ).
cnf(c_0_287,plain,
( epred7_0
| b(esk33_0)
| b(X3)
| ~ epred6_0
| ~ b(X1)
| ~ a1(esk32_0)
| ~ a(X2,X2)
| ~ a(X2,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_288,plain,
( epred7_0
| a1(X2)
| b(X4)
| ~ epred6_0
| ~ b(X1)
| ~ a(X3,X3)
| ~ a(X3,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_289,plain,
( epred7_0
| b(X4)
| ~ epred6_0
| ~ b(X1)
| ~ b(X2)
| ~ a(X3,X3)
| ~ a(X3,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_290,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| ~ b(X2)
| ~ a1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_278])]) ).
cnf(c_0_291,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| a1(X2) ),
inference(ef,[status(thm)],[c_0_285]) ).
cnf(c_0_292,plain,
( epred7_0
| a(X1,esk34_0)
| a(X1,X1)
| b(X2) ),
inference(ef,[status(thm)],[c_0_286]) ).
cnf(c_0_293,plain,
( epred7_0
| a1(esk35_0)
| ~ epred6_0
| ~ b(X1)
| ~ b(X2)
| ~ a(X3,X3)
| ~ a(X3,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_294,plain,
( epred7_0
| a1(esk31_0)
| b(esk33_0)
| b(X2)
| ~ epred6_0
| ~ a1(esk32_0)
| ~ a(X1,X1)
| ~ a(X1,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_295,plain,
( epred7_0
| a1(esk31_0)
| a1(X1)
| b(X3)
| ~ epred6_0
| ~ a(X2,X2)
| ~ a(X2,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_296,plain,
( epred7_0
| ~ epred6_0
| ~ b(X1)
| ~ b(X2)
| ~ a(X3,X3)
| ~ a(X3,esk34_0)
| ~ b(X4)
| ~ a1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_297,plain,
( epred7_0
| b(X1)
| ~ epred6_0
| ~ a(X2,esk34_0)
| ~ a(X2,X2)
| ~ b(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_287,c_0_288]),c_0_289]) ).
cnf(c_0_298,plain,
( epred7_0
| a(X1,esk34_0)
| a(X2,esk34_0)
| a(X1,X1)
| a(X2,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_299,plain,
( epred7_0
| a1(esk35_0)
| ~ epred6_0
| ~ a(X1,esk34_0)
| ~ a(X1,X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[c_0_293,c_0_288]) ).
cnf(c_0_300,plain,
( epred7_0
| b(X1)
| a1(esk31_0)
| ~ epred6_0
| ~ a(X2,esk34_0)
| ~ a(X2,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_294,c_0_295]),c_0_288]) ).
cnf(c_0_301,plain,
( epred7_0
| b(X1)
| a1(X2)
| b(X4)
| ~ epred6_0
| ~ a1(X1)
| ~ a(X3,X3)
| ~ a(X3,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_302,plain,
( epred7_0
| ~ epred6_0
| ~ a(X1,esk34_0)
| ~ a(X1,X1)
| ~ b(X2)
| ~ b(X3)
| ~ a1(X2) ),
inference(csr,[status(thm)],[c_0_296,c_0_289]) ).
cnf(c_0_303,plain,
( epred7_0
| b(X1)
| ~ a(X2,esk34_0)
| ~ a(X2,X2)
| ~ b(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_278])]) ).
cnf(c_0_304,plain,
( epred7_0
| a(esk34_0,esk34_0) ),
inference(ef,[status(thm)],[c_0_298]) ).
cnf(c_0_305,plain,
( epred7_0
| a1(esk35_0)
| ~ a(X1,esk34_0)
| ~ a(X1,X1)
| ~ b(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_278])]) ).
cnf(c_0_306,plain,
( epred7_0
| b(X1)
| a1(esk31_0)
| ~ a(X2,esk34_0)
| ~ a(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_278])]) ).
cnf(c_0_307,plain,
( epred7_0
| b(X1)
| a1(X2)
| ~ epred6_0
| ~ a(X3,esk34_0)
| ~ a(X3,X3)
| ~ a1(X4) ),
inference(csr,[status(thm)],[c_0_301,c_0_297]) ).
cnf(c_0_308,plain,
( epred7_0
| ~ a(X1,esk34_0)
| ~ a(X1,X1)
| ~ b(X2)
| ~ b(X3)
| ~ a1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_278])]) ).
cnf(c_0_309,plain,
( epred7_0
| b(X1)
| ~ b(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_304]) ).
cnf(c_0_310,plain,
( epred7_0
| a1(esk35_0)
| ~ b(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_304]),c_0_304]) ).
cnf(c_0_311,plain,
( epred7_0
| b(X1)
| a1(esk31_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_304]),c_0_304]) ).
cnf(c_0_312,plain,
( epred7_0
| b(X1)
| b(esk33_0)
| a1(esk35_0)
| ~ epred6_0
| ~ a1(X1)
| ~ a1(esk32_0)
| ~ a(X2,X2)
| ~ a(X2,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_313,plain,
( epred7_0
| b(X1)
| a1(X2)
| ~ a(X3,esk34_0)
| ~ a(X3,X3)
| ~ a1(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_278])]) ).
cnf(c_0_314,plain,
( epred7_0
| ~ b(X1)
| ~ a1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_304]),c_0_309]),c_0_304]) ).
cnf(c_0_315,plain,
( epred7_0
| a1(esk31_0)
| a1(esk35_0) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
cnf(c_0_316,plain,
( epred7_0
| b(X1)
| b(esk33_0)
| b(X3)
| ~ epred6_0
| ~ a1(X1)
| ~ a1(esk32_0)
| ~ a(X2,X2)
| ~ a(X2,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
fof(c_0_317,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 )
& ( 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) ) ) ),
introduced(definition) ).
cnf(c_0_318,plain,
( epred7_0
| a1(esk35_0)
| ~ epred6_0
| ~ a(X1,esk34_0)
| ~ a(X1,X1)
| ~ a1(esk32_0)
| ~ a1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_312,c_0_297]),c_0_299]) ).
cnf(c_0_319,plain,
( epred7_0
| b(X1)
| a1(X2)
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_304]),c_0_304]) ).
cnf(c_0_320,plain,
( epred7_0
| a1(esk31_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_311]) ).
cnf(c_0_321,plain,
( epred7_0
| b(X1)
| ~ epred6_0
| ~ a(X2,esk34_0)
| ~ a(X2,X2)
| ~ a1(esk32_0)
| ~ a1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_316,c_0_297]),c_0_297]) ).
fof(c_0_322,plain,
( ( epred7_0
& ( ? [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) ) )
=> epred8_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_317]),c_0_217]) ).
cnf(c_0_323,plain,
( epred7_0
| a1(esk35_0)
| ~ a(X1,esk34_0)
| ~ a(X1,X1)
| ~ a1(esk32_0)
| ~ a1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_278])]) ).
cnf(c_0_324,plain,
( epred7_0
| b(X1)
| a1(X2) ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_325,plain,
( epred7_0
| b(X1)
| ~ a(X2,esk34_0)
| ~ a(X2,X2)
| ~ a1(esk32_0)
| ~ a1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_278])]) ).
fof(c_0_326,plain,
! [X8,X8,X9,X10,X11,X12,X19,X20,X23,X24] :
( ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ a1(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ a(X9,X10)
| ~ a(X12,X11)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| p1(X19)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| p1(X20)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( ~ p1(X23)
| ~ p1(X24)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 )
& ( p1(esk45_0)
| p1(esk46_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X8)
| ~ epred7_0
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_322])])])])])])]) ).
cnf(c_0_327,plain,
( epred7_0
| a1(esk35_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_324]),c_0_324]),c_0_324]),c_0_310]) ).
cnf(c_0_328,plain,
( epred7_0
| b(X1)
| ~ a(X2,esk34_0)
| ~ a(X2,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_324]),c_0_324]),c_0_309]) ).
cnf(c_0_329,plain,
( epred8_0
| p1(X6)
| ~ epred7_0
| ~ b(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(esk42_0)
| ~ p1(esk41_0)
| ~ p1(X7)
| ~ p1(X8) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_330,plain,
( epred8_0
| p1(X6)
| p1(X7)
| ~ epred7_0
| ~ b(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(X8)
| ~ p1(X9) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_331,plain,
( epred7_0
| ~ b(esk35_0) ),
inference(spm,[status(thm)],[c_0_314,c_0_327]) ).
cnf(c_0_332,plain,
( epred7_0
| b(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_304]),c_0_304]) ).
cnf(c_0_333,plain,
( epred8_0
| ~ epred7_0
| ~ b(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(esk42_0)
| ~ p1(esk41_0)
| ~ p1(esk44_0)
| ~ p1(esk43_0)
| ~ p1(X6)
| ~ p1(X7) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_334,plain,
( epred8_0
| p1(X1)
| ~ epred7_0
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ b(X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_329,c_0_330]),c_0_330]) ).
cnf(c_0_335,plain,
( epred8_0
| b(esk36_0)
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X1)
| p1(X2)
| p1(esk46_0)
| p1(esk45_0)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_336,plain,
epred7_0,
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_337,plain,
( epred8_0
| b(esk36_0)
| p1(X5)
| p1(X6)
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(X7)
| ~ p1(X8) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_338,plain,
( epred8_0
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ b(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_333,c_0_334]),c_0_334]),c_0_334]),c_0_334]) ).
cnf(c_0_339,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X2)
| p1(X3)
| ~ epred7_0
| ~ b(X1)
| ~ p1(X4)
| ~ p1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_340,plain,
( epred8_0
| b(esk36_0)
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| ~ epred7_0
| ~ p1(esk42_0)
| ~ p1(esk41_0)
| ~ p1(esk44_0)
| ~ p1(esk43_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_341,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| p1(esk45_0)
| p1(esk46_0)
| p1(X1)
| p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_336])]) ).
cnf(c_0_342,plain,
( epred8_0
| b(esk36_0)
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X1)
| ~ epred7_0
| ~ p1(esk42_0)
| ~ p1(esk41_0)
| ~ p1(X2)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_343,plain,
( epred8_0
| b(esk36_0)
| p1(X5)
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk42_0)
| ~ p1(esk41_0)
| ~ p1(X6)
| ~ p1(X7) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_344,plain,
( epred8_0
| p1(X1)
| p1(X2)
| ~ epred7_0
| ~ a(X3,X4)
| ~ a(X5,X6)
| ~ p1(X7)
| ~ p1(X8) ),
inference(csr,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_345,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X2)
| ~ epred7_0
| ~ b(X1)
| ~ p1(esk44_0)
| ~ p1(esk43_0)
| ~ p1(X3)
| ~ p1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_346,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| p1(X1)
| p1(X2)
| ~ b(X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_339,c_0_336])]) ).
cnf(c_0_347,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(X1)
| ~ p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_336])]) ).
cnf(c_0_348,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| b(esk36_0)
| p1(esk46_0)
| p1(esk45_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_341]) ).
cnf(c_0_349,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| b(esk36_0)
| p1(X1)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ p1(X2)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_336])]) ).
cnf(c_0_350,plain,
( epred8_0
| p1(X6)
| p1(esk46_0)
| p1(esk45_0)
| ~ epred7_0
| ~ b(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(esk42_0)
| ~ p1(esk41_0) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_351,plain,
( epred8_0
| p1(X6)
| p1(X7)
| p1(esk46_0)
| p1(esk45_0)
| ~ epred7_0
| ~ b(X1)
| ~ a(X2,X3)
| ~ a(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_352,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X2)
| p1(X3)
| p1(esk46_0)
| p1(esk45_0)
| ~ epred7_0
| ~ b(X1) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_353,plain,
( epred8_0
| p1(X1)
| ~ epred7_0
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_343,c_0_344]),c_0_344]),c_0_338]) ).
cnf(c_0_354,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| ~ epred7_0
| ~ b(X1)
| ~ p1(esk42_0)
| ~ p1(esk41_0)
| ~ p1(esk44_0)
| ~ p1(esk43_0)
| ~ p1(X2)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_355,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| p1(X1)
| ~ b(X2)
| ~ p1(esk43_0)
| ~ p1(esk44_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_336])]),c_0_346]),c_0_346]) ).
cnf(c_0_356,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| b(esk36_0)
| p1(esk45_0)
| p1(esk46_0) ),
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_347,c_0_348]),c_0_349]),c_0_348]),c_0_348]),c_0_348]),c_0_348]) ).
cnf(c_0_357,plain,
( epred8_0
| b(esk36_0)
| p1(X5)
| p1(X6)
| p1(esk46_0)
| p1(esk45_0)
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_358,plain,
( epred8_0
| p1(esk46_0)
| p1(esk45_0)
| p1(X1)
| ~ epred7_0
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ b(X6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_350,c_0_351]),c_0_351]) ).
cnf(c_0_359,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| p1(esk45_0)
| p1(esk46_0)
| p1(X1)
| p1(X2)
| ~ b(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_336])]) ).
cnf(c_0_360,plain,
( epred8_0
| b(esk36_0)
| ~ epred7_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk42_0)
| ~ p1(esk41_0)
| ~ p1(esk44_0)
| ~ p1(esk43_0)
| ~ p1(X5)
| ~ p1(X6) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_361,plain,
( epred8_0
| p1(X1)
| ~ a(X2,X3)
| ~ a(X4,X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_336])]) ).
cnf(c_0_362,plain,
( epred8_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ b(X5)
| ~ p1(X6)
| ~ p1(X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_336])]) ).
cnf(c_0_363,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| ~ b(X1)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0)
| ~ p1(X2)
| ~ p1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_336])]) ).
cnf(c_0_364,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(esk46_0)
| p1(esk45_0)
| p1(X1)
| ~ p1(esk43_0)
| ~ p1(esk44_0) ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_365,plain,
( epred8_0
| p1(esk46_0)
| p1(esk45_0)
| p1(X1)
| p1(X2)
| ~ epred7_0
| ~ a(X3,X4)
| ~ a(X5,X6) ),
inference(csr,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_366,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(esk46_0)
| p1(esk45_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_359,c_0_356]) ).
cnf(c_0_367,plain,
( epred8_0
| ~ a(X1,X2)
| ~ a(X3,X4)
| ~ p1(esk41_0)
| ~ p1(esk42_0) ),
inference(csr,[status(thm)],[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_360,c_0_336])]),c_0_361]),c_0_361]),c_0_361]),c_0_361]),c_0_362]) ).
cnf(c_0_368,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(esk46_0)
| p1(esk45_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_356]),c_0_364]),c_0_364]),c_0_364]),c_0_364]) ).
cnf(c_0_369,plain,
( epred8_0
| p1(esk45_0)
| p1(esk46_0)
| p1(X1)
| p1(X2)
| ~ a(X3,X4)
| ~ a(X5,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_336])]) ).
cnf(c_0_370,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| p1(esk45_0)
| p1(esk46_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_366]) ).
cnf(c_0_371,plain,
( epred8_0
| p1(esk45_0)
| p1(esk46_0)
| ~ a(X1,X2)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_367]) ).
cnf(c_0_372,plain,
( epred8_0
| p1(esk46_0)
| p1(esk45_0)
| p1(X1)
| p1(X2)
| p1(X3)
| ~ a(X4,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_369]) ).
cnf(c_0_373,plain,
( epred8_0
| p1(esk46_0)
| p1(esk45_0)
| p1(X1)
| ~ a(X2,X3)
| ~ p1(esk41_0)
| ~ p1(esk42_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_370]),c_0_367]) ).
cnf(c_0_374,plain,
( epred8_0
| p1(esk46_0)
| p1(esk45_0)
| ~ p1(esk41_0)
| ~ p1(esk42_0)
| ~ p1(esk43_0)
| ~ p1(esk44_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_368]),c_0_371]) ).
cnf(c_0_375,plain,
( epred8_0
| p1(esk45_0)
| p1(esk46_0)
| p1(X1)
| p1(X2)
| p1(X3)
| p1(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_370]),c_0_372]) ).
cnf(c_0_376,plain,
( epred8_0
| p1(esk45_0)
| p1(esk46_0)
| p1(X1)
| p1(X2)
| ~ p1(esk41_0)
| ~ p1(esk42_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_370]),c_0_373]) ).
cnf(c_0_377,plain,
( epred8_0
| p1(esk45_0)
| p1(esk46_0)
| p1(X1)
| p1(X2)
| p1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_376]),c_0_375]),c_0_375]) ).
cnf(c_0_378,plain,
( epred8_0
| p1(esk45_0)
| p1(esk46_0)
| p1(X1)
| p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_377]),c_0_376]),c_0_377]),c_0_377]) ).
cnf(c_0_379,plain,
( epred8_0
| b(esk36_0)
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X1)
| p1(X2)
| ~ epred7_0
| ~ p1(X3)
| ~ p1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_380,plain,
( epred8_0
| p1(esk46_0)
| p1(esk45_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_378]) ).
cnf(c_0_381,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| p1(X1)
| p1(X2)
| ~ p1(X3)
| ~ p1(X4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_336])]),c_0_346]) ).
cnf(c_0_382,plain,
( epred8_0
| p1(esk46_0)
| p1(esk45_0) ),
inference(ef,[status(thm)],[c_0_380]) ).
cnf(c_0_383,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X1)
| p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_381]) ).
cnf(c_0_384,plain,
( epred8_0
| a(esk37_0,esk38_0)
| a(esk40_0,esk39_0)
| p1(X1)
| p1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_382]),c_0_383]) ).
cnf(c_0_385,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_384]) ).
cnf(c_0_386,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0)
| b(esk36_0) ),
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_347,c_0_385]),c_0_385]),c_0_385]),c_0_385]),c_0_385]),c_0_385]) ).
fof(c_0_387,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 )
& ( 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) ) ) ) ),
introduced(definition) ).
cnf(c_0_388,plain,
( epred8_0
| a(esk40_0,esk39_0)
| a(esk37_0,esk38_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_386]),c_0_385]),c_0_385]),c_0_385]),c_0_385]),c_0_385]),c_0_385]) ).
fof(c_0_389,plain,
( ( epred8_0
& ( ? [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) ) ) )
=> epred9_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_387]),c_0_317]) ).
cnf(c_0_390,plain,
( epred8_0
| p1(X1)
| ~ a(X2,X3)
| ~ p1(X4)
| ~ p1(X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_388]),c_0_361]) ).
fof(c_0_391,plain,
! [X12,X13,X15,X16,X17,X18,X19,X19,X17,X18] :
( ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X13,X15)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X13,X15)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X15,X13)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X15,X13)
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X13,X15)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X13,X15)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X15,X13)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X15,X13)
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| p1(esk47_0)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X13,X15)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X13,X15)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X15,X13)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X15,X13)
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| ~ p(X15,esk48_1(X13))
| p(X15,esk48_1(X13))
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X13,X15)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X13,X15)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X13,X15)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| p(X15,X13)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| p(X15,X13)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| p(X15,X13)
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X17)
| a_member_of(X19,X18)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(X19,X18)
| a_member_of(X19,X17)
| ~ eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ a_member_of(esk49_2(X17,X18),X17)
| ~ a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( a_member_of(esk49_2(X17,X18),X17)
| a_member_of(esk49_2(X17,X18),X18)
| eq(X17,X18)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( eq(esk50_0,esk51_0)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 )
& ( ~ eq(esk51_0,esk50_0)
| ~ p(X15,esk48_1(X13))
| ~ p(X16,X15)
| ~ p1(X12)
| ~ epred8_0
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_389])])])])])])]) ).
cnf(c_0_392,plain,
( epred8_0
| p1(X1)
| ~ p1(X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_388]),c_0_390]) ).
cnf(c_0_393,plain,
( epred9_0
| p1(esk47_0)
| p(X1,esk48_1(X2))
| p(X2,X1)
| eq(esk50_0,esk51_0)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_394,plain,
( epred9_0
| p1(esk47_0)
| p(X2,X3)
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_395,plain,
( epred9_0
| p(X2,esk48_1(X3))
| p(X3,X2)
| eq(X4,X5)
| a_member_of(esk49_2(X4,X5),X5)
| a_member_of(esk49_2(X4,X5),X4)
| ~ epred8_0
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_396,plain,
( epred9_0
| p(X3,X4)
| eq(X5,X6)
| a_member_of(esk49_2(X5,X6),X6)
| a_member_of(esk49_2(X5,X6),X5)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_397,plain,
( epred8_0
| ~ a(X1,X2)
| ~ p1(esk41_0)
| ~ p1(esk42_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_388]),c_0_367]) ).
cnf(c_0_398,plain,
( epred8_0
| p1(X1)
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_382]),c_0_392]) ).
cnf(c_0_399,plain,
( epred9_0
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ p(X3,esk48_1(X4))
| ~ eq(esk51_0,esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_400,plain,
( epred9_0
| p(X3,X4)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ eq(esk51_0,esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_401,plain,
( epred9_0
| p1(esk47_0)
| p(X2,X3)
| a_member_of(X6,X4)
| ~ epred8_0
| ~ p(X1,X2)
| ~ eq(X4,X5)
| ~ a_member_of(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_402,plain,
( epred9_0
| p(X3,X4)
| a_member_of(X7,X5)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ eq(X5,X6)
| ~ a_member_of(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_403,plain,
( epred9_0
| p(X2,esk48_1(X3))
| p(X3,X2)
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_404,plain,
( epred9_0
| p(X3,X4)
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_405,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| p(X1,esk48_1(X2))
| p1(esk47_0)
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_406,plain,
( epred9_0
| eq(X5,X6)
| a_member_of(esk49_2(X5,X6),X6)
| a_member_of(esk49_2(X5,X6),X5)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ p(X3,esk48_1(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_407,plain,
( epred9_0
| a_member_of(esk49_2(X1,X2),X1)
| a_member_of(esk49_2(X1,X2),X2)
| eq(X1,X2)
| p(X3,esk48_1(X4))
| ~ epred8_0
| ~ p1(X5) ),
inference(csr,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_408,plain,
( epred8_0
| ~ p1(esk41_0)
| ~ p1(esk42_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_388]),c_0_397]) ).
cnf(c_0_409,plain,
( epred8_0
| p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_382]),c_0_398]) ).
cnf(c_0_410,plain,
( epred9_0
| p(X2,esk48_1(X3))
| p(X3,X2)
| ~ epred8_0
| ~ p1(X1)
| ~ eq(esk51_0,esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_411,plain,
( epred9_0
| ~ epred8_0
| ~ eq(esk51_0,esk50_0)
| ~ p(X1,X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_412,plain,
( epred9_0
| p1(esk47_0)
| a_member_of(X6,X4)
| ~ epred8_0
| ~ p(X1,X2)
| ~ p(X2,esk48_1(X3))
| ~ eq(X4,X5)
| ~ a_member_of(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_413,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,X4)
| ~ epred8_0
| ~ a_member_of(X1,X5)
| ~ eq(X2,X5)
| ~ p(X6,X3) ),
inference(csr,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_414,plain,
( epred9_0
| p1(esk47_0)
| p(X3,X2)
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_415,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| p(X1,esk48_1(X2))
| ~ epred8_0
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_416,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| p(esk48_1(X1),X2)
| p1(esk47_0)
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_405]) ).
cnf(c_0_417,plain,
( epred9_0
| p1(esk47_0)
| eq(X4,X5)
| a_member_of(esk49_2(X4,X5),X5)
| a_member_of(esk49_2(X4,X5),X4)
| ~ epred8_0
| ~ p(X1,X2)
| ~ p(X2,esk48_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_418,plain,
( epred9_0
| p1(esk47_0)
| p(X2,X3)
| eq(X4,X5)
| a_member_of(esk49_2(X4,X5),X5)
| a_member_of(esk49_2(X4,X5),X4)
| ~ epred8_0
| ~ p(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_419,plain,
( epred9_0
| a_member_of(esk49_2(X1,X2),X1)
| a_member_of(esk49_2(X1,X2),X2)
| eq(X1,X2)
| ~ epred8_0
| ~ p(X3,X4)
| ~ p1(X5) ),
inference(csr,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_420,plain,
epred8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_409]) ).
cnf(c_0_421,plain,
( epred9_0
| p1(esk47_0)
| p(X2,X3)
| ~ epred8_0
| ~ p(X1,X2)
| ~ eq(esk51_0,esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_422,plain,
( epred9_0
| ~ epred8_0
| ~ eq(esk51_0,esk50_0)
| ~ p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_410,c_0_411]),c_0_411]) ).
cnf(c_0_423,plain,
( epred9_0
| p1(esk47_0)
| p(X1,esk48_1(X2))
| p(X1,X2)
| a_member_of(X5,X3)
| ~ epred8_0
| ~ eq(X3,X4)
| ~ a_member_of(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_424,plain,
( epred9_0
| a_member_of(X1,X2)
| p1(esk47_0)
| ~ epred8_0
| ~ a_member_of(X1,X3)
| ~ eq(X2,X3)
| ~ p(X4,X5) ),
inference(csr,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_425,plain,
( epred9_0
| p1(esk47_0)
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p(X1,X2)
| ~ p(X2,esk48_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_426,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| p(X1,esk48_1(X2))
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_405]),c_0_415]) ).
cnf(c_0_427,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| p(X1,X2)
| p1(esk47_0)
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_416]) ).
cnf(c_0_428,plain,
( epred9_0
| a_member_of(esk49_2(X1,X2),X1)
| a_member_of(esk49_2(X1,X2),X2)
| eq(X1,X2)
| p1(esk47_0)
| ~ epred8_0
| ~ p(X3,X4) ),
inference(csr,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_429,plain,
( epred9_0
| a_member_of(esk49_2(X1,X2),X2)
| a_member_of(esk49_2(X1,X2),X1)
| eq(X1,X2)
| ~ p(X3,X4)
| ~ p1(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_419,c_0_420])]) ).
cnf(c_0_430,plain,
( epred9_0
| p1(esk47_0)
| ~ epred8_0
| ~ p(X1,X2)
| ~ p(X2,esk48_1(X3))
| ~ eq(esk51_0,esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_431,plain,
( epred9_0
| p1(esk47_0)
| p(X1,esk48_1(X2))
| p(X2,X1)
| ~ epred8_0
| ~ eq(esk51_0,esk50_0) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_432,plain,
( epred9_0
| p(X1,X2)
| ~ epred8_0
| ~ eq(esk51_0,esk50_0)
| ~ p(X3,X1) ),
inference(csr,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_433,plain,
( epred9_0
| p1(esk47_0)
| p(X2,X3)
| eq(X4,X5)
| ~ epred8_0
| ~ p(X1,X2)
| ~ a_member_of(esk49_2(X4,X5),X5)
| ~ a_member_of(esk49_2(X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_434,plain,
( epred9_0
| p(X3,X4)
| eq(X5,X6)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ a_member_of(esk49_2(X5,X6),X6)
| ~ a_member_of(esk49_2(X5,X6),X5) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_435,plain,
( epred9_0
| a_member_of(X1,X2)
| p1(esk47_0)
| ~ epred8_0
| ~ a_member_of(X1,X3)
| ~ eq(X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_423,c_0_424]),c_0_424]) ).
cnf(c_0_436,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| p1(esk47_0)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_427]) ).
cnf(c_0_437,plain,
( epred9_0
| a_member_of(esk49_2(X1,X2),X2)
| a_member_of(esk49_2(X1,X2),X1)
| eq(X1,X2)
| ~ p(X3,X4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_420])]),c_0_429]) ).
cnf(c_0_438,plain,
( epred9_0
| ~ epred8_0
| ~ eq(esk51_0,esk50_0)
| ~ p(X1,esk48_1(X2))
| ~ p(X3,X1) ),
inference(csr,[status(thm)],[c_0_430,c_0_411]) ).
cnf(c_0_439,plain,
( epred9_0
| p(X1,esk48_1(X2))
| ~ epred8_0
| ~ eq(esk51_0,esk50_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_431,c_0_432]),c_0_422]) ).
cnf(c_0_440,plain,
( epred9_0
| p(X2,esk48_1(X3))
| p(X3,X2)
| eq(X4,X5)
| ~ epred8_0
| ~ p1(X1)
| ~ a_member_of(esk49_2(X4,X5),X5)
| ~ a_member_of(esk49_2(X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_441,plain,
( epred9_0
| eq(X1,X2)
| p(X3,X4)
| ~ epred8_0
| ~ a_member_of(esk49_2(X1,X2),X2)
| ~ a_member_of(esk49_2(X1,X2),X1)
| ~ p(X5,X3) ),
inference(csr,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_442,plain,
( epred9_0
| a_member_of(X1,esk50_0)
| p1(esk47_0)
| ~ epred8_0
| ~ a_member_of(X1,esk51_0) ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_443,plain,
( epred9_0
| p1(esk47_0)
| p(X1,esk48_1(X2))
| p(X1,X2)
| eq(X3,X4)
| a_member_of(esk49_2(X3,X4),X4)
| a_member_of(esk49_2(X3,X4),X3)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_444,plain,
( epred9_0
| a_member_of(esk49_2(X1,X2),X2)
| a_member_of(esk49_2(X1,X2),X1)
| eq(X1,X2)
| ~ p1(X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_420])]),c_0_437]) ).
cnf(c_0_445,plain,
( epred9_0
| ~ epred8_0
| ~ eq(esk51_0,esk50_0)
| ~ p(X1,X2) ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_446,plain,
( epred9_0
| p1(esk47_0)
| p(X2,X3)
| a_member_of(X6,X5)
| ~ epred8_0
| ~ p(X1,X2)
| ~ eq(X4,X5)
| ~ a_member_of(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_447,plain,
( epred9_0
| p(X3,X4)
| a_member_of(X7,X6)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ eq(X5,X6)
| ~ a_member_of(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_448,plain,
( epred9_0
| p1(esk47_0)
| p(X1,esk48_1(X2))
| p(X2,X1)
| eq(X3,X4)
| ~ epred8_0
| ~ a_member_of(esk49_2(X3,X4),X4)
| ~ a_member_of(esk49_2(X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_449,plain,
( epred9_0
| eq(X1,X2)
| p(X3,esk48_1(X4))
| ~ epred8_0
| ~ a_member_of(esk49_2(X1,X2),X2)
| ~ a_member_of(esk49_2(X1,X2),X1)
| ~ p1(X5) ),
inference(csr,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_450,plain,
( epred9_0
| a_member_of(X1,esk50_0)
| p1(esk47_0)
| ~ a_member_of(X1,esk51_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_420])]) ).
cnf(c_0_451,plain,
( epred9_0
| a_member_of(esk49_2(X1,X2),X2)
| a_member_of(esk49_2(X1,X2),X1)
| eq(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_420])]),c_0_444]),c_0_437]),c_0_437]) ).
cnf(c_0_452,plain,
( epred9_0
| ~ eq(esk51_0,esk50_0)
| ~ p(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_445,c_0_420])]) ).
cnf(c_0_453,plain,
( epred9_0
| p1(esk47_0)
| a_member_of(X6,X5)
| ~ epred8_0
| ~ p(X1,X2)
| ~ p(X2,esk48_1(X3))
| ~ eq(X4,X5)
| ~ a_member_of(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_454,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,X4)
| ~ epred8_0
| ~ a_member_of(X1,X5)
| ~ eq(X5,X2)
| ~ p(X6,X3) ),
inference(csr,[status(thm)],[c_0_446,c_0_447]) ).
fof(c_0_455,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 )
& ( 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) ) ) ),
introduced(definition) ).
fof(c_0_456,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 )
& ( 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) ) ) ) ),
introduced(definition) ).
cnf(c_0_457,plain,
( epred9_0
| p1(esk47_0)
| eq(X4,X5)
| ~ epred8_0
| ~ p(X1,X2)
| ~ p(X2,esk48_1(X3))
| ~ a_member_of(esk49_2(X4,X5),X5)
| ~ a_member_of(esk49_2(X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_458,plain,
( epred9_0
| eq(X5,X6)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ p(X3,esk48_1(X4))
| ~ a_member_of(esk49_2(X5,X6),X6)
| ~ a_member_of(esk49_2(X5,X6),X5) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_459,plain,
( epred9_0
| eq(X1,X2)
| p(X3,esk48_1(X4))
| p1(esk47_0)
| ~ epred8_0
| ~ a_member_of(esk49_2(X1,X2),X2)
| ~ a_member_of(esk49_2(X1,X2),X1) ),
inference(csr,[status(thm)],[c_0_448,c_0_441]) ).
cnf(c_0_460,plain,
( epred9_0
| eq(X1,X2)
| p(X3,esk48_1(X4))
| ~ a_member_of(esk49_2(X1,X2),X2)
| ~ a_member_of(esk49_2(X1,X2),X1)
| ~ p1(X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_420])]) ).
cnf(c_0_461,plain,
( epred9_0
| a_member_of(esk49_2(esk51_0,X1),esk50_0)
| a_member_of(esk49_2(esk51_0,X1),X1)
| eq(esk51_0,X1)
| p1(esk47_0) ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_462,plain,
( epred9_0
| ~ eq(esk51_0,esk50_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_420])]),c_0_452]) ).
cnf(c_0_463,plain,
( epred9_0
| p1(esk47_0)
| p(X1,esk48_1(X2))
| p(X1,X2)
| a_member_of(X5,X4)
| ~ epred8_0
| ~ eq(X3,X4)
| ~ a_member_of(X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_464,plain,
( epred9_0
| a_member_of(X1,X2)
| p1(esk47_0)
| ~ epred8_0
| ~ a_member_of(X1,X3)
| ~ eq(X3,X2)
| ~ p(X4,X5) ),
inference(csr,[status(thm)],[c_0_453,c_0_454]) ).
fof(c_0_465,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) )
& ( p1(z)
=> p1(z) )
& ( ? [X4] : p1(X4)
=> ? [X5] : p1(X5) ) )
=> epred11_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_455]),c_0_456]) ).
cnf(c_0_466,plain,
( epred9_0
| eq(X1,X2)
| ~ epred8_0
| ~ a_member_of(esk49_2(X1,X2),X2)
| ~ a_member_of(esk49_2(X1,X2),X1)
| ~ p(X3,esk48_1(X4))
| ~ p(X5,X3) ),
inference(csr,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_467,plain,
( epred9_0
| eq(X1,X2)
| p(X3,esk48_1(X4))
| ~ a_member_of(esk49_2(X1,X2),X2)
| ~ a_member_of(esk49_2(X1,X2),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_420])]),c_0_460]) ).
cnf(c_0_468,plain,
( epred9_0
| a_member_of(esk49_2(esk51_0,esk50_0),esk50_0)
| p1(esk47_0) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_461]),c_0_462]) ).
cnf(c_0_469,plain,
( epred9_0
| a_member_of(X1,X2)
| p1(esk47_0)
| ~ epred8_0
| ~ a_member_of(X1,X3)
| ~ eq(X3,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_463,c_0_464]),c_0_464]) ).
cnf(c_0_470,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ p(X3,esk48_1(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
fof(c_0_471,plain,
! [X9,X10,X11,X14,X16,X18] :
( ( p1(esk61_0)
| p(esk59_0,X14)
| p1(esk58_0)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| p(esk59_0,X14)
| p1(esk58_0)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| ~ p(X16,esk60_0)
| p1(esk58_0)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| ~ p(X16,esk60_0)
| p1(esk58_0)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| p(esk59_0,X14)
| ~ p1(X11)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| p(esk59_0,X14)
| ~ p1(X11)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| ~ p(X16,esk60_0)
| ~ p1(X11)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| ~ p(X16,esk60_0)
| ~ p1(X11)
| ~ p1(X9)
| r1(X10)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| p(esk59_0,X14)
| p1(esk58_0)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| p(esk59_0,X14)
| p1(esk58_0)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| ~ p(X16,esk60_0)
| p1(esk58_0)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| ~ p(X16,esk60_0)
| p1(esk58_0)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| p(esk59_0,X14)
| ~ p1(X11)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| p(esk59_0,X14)
| ~ p1(X11)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| ~ p(X16,esk60_0)
| ~ p1(X11)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| ~ p(X16,esk60_0)
| ~ p1(X11)
| p1(esk56_0)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| p(esk59_0,X14)
| p1(esk58_0)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| p(esk59_0,X14)
| p1(esk58_0)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| ~ p(X16,esk60_0)
| p1(esk58_0)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| ~ p(X16,esk60_0)
| p1(esk58_0)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| p(esk59_0,X14)
| ~ p1(X11)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| p(esk59_0,X14)
| ~ p1(X11)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 )
& ( p1(esk61_0)
| ~ p(X16,esk60_0)
| ~ p1(X11)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 )
& ( ~ p1(X18)
| ~ p(X16,esk60_0)
| ~ p1(X11)
| ~ r1(esk57_0)
| ~ epred10_0
| epred11_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_465])])])])])])])]) ).
cnf(c_0_472,plain,
( epred9_0
| eq(X1,X2)
| ~ a_member_of(esk49_2(X1,X2),X2)
| ~ a_member_of(esk49_2(X1,X2),X1)
| ~ p(X3,esk48_1(X4))
| ~ p(X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_420])]) ).
cnf(c_0_473,plain,
( epred9_0
| p(X1,esk48_1(X2))
| p1(esk47_0)
| ~ a_member_of(esk49_2(esk51_0,esk50_0),esk51_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_468]),c_0_462]) ).
cnf(c_0_474,plain,
( epred9_0
| a_member_of(X1,esk51_0)
| p1(esk47_0)
| ~ epred8_0
| ~ a_member_of(X1,esk50_0) ),
inference(spm,[status(thm)],[c_0_469,c_0_436]) ).
cnf(c_0_475,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p(X1,X2)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_470,c_0_426]) ).
cnf(c_0_476,plain,
( epred11_0
| p1(esk56_0)
| p1(esk58_0)
| p1(esk61_0)
| ~ epred10_0
| ~ p(X1,esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_477,plain,
( epred11_0
| p1(esk56_0)
| p1(esk58_0)
| p(esk59_0,X1)
| p1(esk61_0)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_478,plain,
( epred9_0
| p(X2,esk48_1(X3))
| p(X3,X2)
| a_member_of(X6,X4)
| ~ epred8_0
| ~ p1(X1)
| ~ eq(X4,X5)
| ~ a_member_of(X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_479,plain,
( epred9_0
| a_member_of(X7,X5)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ p(X3,esk48_1(X4))
| ~ eq(X5,X6)
| ~ a_member_of(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_480,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,X4)
| ~ a_member_of(X1,X5)
| ~ eq(X2,X5)
| ~ p(X6,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_420])]) ).
cnf(c_0_481,plain,
( epred9_0
| p1(esk47_0)
| ~ a_member_of(esk49_2(esk51_0,esk50_0),esk51_0)
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_468]),c_0_473]),c_0_462]) ).
cnf(c_0_482,plain,
( epred9_0
| a_member_of(X1,esk51_0)
| p1(esk47_0)
| ~ a_member_of(X1,esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_420])]) ).
cnf(c_0_483,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| ~ epred8_0
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_475,c_0_426]) ).
cnf(c_0_484,plain,
( epred11_0
| p1(esk56_0)
| p1(esk58_0)
| p(esk59_0,X1)
| ~ epred10_0
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_485,plain,
( epred11_0
| p1(esk56_0)
| p1(esk58_0)
| p1(esk61_0)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_476,c_0_477]) ).
cnf(c_0_486,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,esk48_1(X4))
| ~ epred8_0
| ~ a_member_of(X1,X5)
| ~ eq(X2,X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[c_0_478,c_0_413]) ).
cnf(c_0_487,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X2,X3)
| ~ p(X4,X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_420])]),c_0_480]) ).
cnf(c_0_488,plain,
( epred9_0
| p1(esk47_0)
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_468]) ).
cnf(c_0_489,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| p(X1,esk48_1(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_420])]) ).
cnf(c_0_490,plain,
( epred9_0
| eq(esk50_0,esk51_0)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_420])]) ).
cnf(c_0_491,plain,
( epred11_0
| p1(esk56_0)
| p1(esk58_0)
| ~ epred10_0
| ~ p(X1,esk60_0)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_492,plain,
( epred11_0
| p(esk59_0,X1)
| p1(esk56_0)
| p1(esk58_0)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_493,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X2,X3)
| ~ p1(X4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_486,c_0_420])]),c_0_487]) ).
cnf(c_0_494,plain,
( epred9_0
| eq(esk50_0,esk51_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_490]) ).
cnf(c_0_495,plain,
( epred11_0
| p1(esk56_0)
| p1(esk58_0)
| ~ epred10_0
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_496,plain,
( epred9_0
| a_member_of(X1,esk50_0)
| ~ a_member_of(X1,esk51_0)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_497,plain,
( epred9_0
| p1(esk47_0)
| ~ a_member_of(esk49_2(esk51_0,esk50_0),esk51_0) ),
inference(spm,[status(thm)],[c_0_488,c_0_473]) ).
cnf(c_0_498,plain,
( epred11_0
| p1(esk56_0)
| p(esk59_0,X2)
| p1(esk61_0)
| ~ epred10_0
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_499,plain,
( epred11_0
| p1(esk58_0)
| p1(esk56_0)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_495,c_0_485]) ).
cnf(c_0_500,plain,
( epred9_0
| a_member_of(esk49_2(esk51_0,X1),esk50_0)
| a_member_of(esk49_2(esk51_0,X1),X1)
| eq(esk51_0,X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_496,c_0_451]) ).
cnf(c_0_501,plain,
( epred9_0
| p1(esk47_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_482]),c_0_468]) ).
cnf(c_0_502,plain,
( epred9_0
| p(X2,esk48_1(X3))
| p(X3,X2)
| a_member_of(X6,X5)
| ~ epred8_0
| ~ p1(X1)
| ~ eq(X4,X5)
| ~ a_member_of(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_503,plain,
( epred9_0
| a_member_of(X7,X6)
| ~ epred8_0
| ~ p1(X1)
| ~ p(X2,X3)
| ~ p(X3,esk48_1(X4))
| ~ eq(X5,X6)
| ~ a_member_of(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_504,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,X4)
| ~ a_member_of(X1,X5)
| ~ eq(X5,X2)
| ~ p(X6,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_420])]) ).
cnf(c_0_505,plain,
( epred11_0
| p1(esk56_0)
| p1(esk61_0)
| ~ epred10_0
| ~ p1(X1)
| ~ p(X2,esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_506,plain,
( epred11_0
| p(esk59_0,X1)
| p1(esk56_0)
| p1(esk61_0)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_498,c_0_499]) ).
cnf(c_0_507,plain,
( epred9_0
| a_member_of(esk49_2(esk51_0,X1),esk50_0)
| a_member_of(esk49_2(esk51_0,X1),X1)
| eq(esk51_0,X1) ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_508,plain,
( epred9_0
| a_member_of(X1,X2)
| p(X3,esk48_1(X4))
| ~ epred8_0
| ~ a_member_of(X1,X5)
| ~ eq(X5,X2)
| ~ p1(X6) ),
inference(csr,[status(thm)],[c_0_502,c_0_454]) ).
cnf(c_0_509,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X3,X2)
| ~ p(X4,X5)
| ~ p1(X6) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_503,c_0_420])]),c_0_504]) ).
cnf(c_0_510,plain,
( epred11_0
| p1(esk56_0)
| p(esk59_0,X2)
| ~ epred10_0
| ~ p1(X1)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_511,plain,
( epred11_0
| p1(esk56_0)
| p1(esk61_0)
| ~ epred10_0
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_505,c_0_506]) ).
fof(c_0_512,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_456]),c_0_387]) ).
cnf(c_0_513,plain,
( epred9_0
| a_member_of(esk49_2(esk51_0,esk50_0),esk50_0) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_507]),c_0_462]) ).
cnf(c_0_514,plain,
( epred9_0
| a_member_of(X1,X2)
| ~ a_member_of(X1,X3)
| ~ eq(X3,X2)
| ~ p1(X4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_508,c_0_420])]),c_0_509]) ).
cnf(c_0_515,plain,
( epred11_0
| p(esk59_0,X1)
| p1(esk56_0)
| ~ epred10_0
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_510,c_0_499]) ).
cnf(c_0_516,plain,
( epred11_0
| p1(esk61_0)
| p1(esk56_0)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_511,c_0_499]) ).
fof(c_0_517,plain,
! [X9,X10,X11,X14,X15] :
( ( ~ p1(X14)
| q1(X14)
| p1(X11)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| p1(X11)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| p1(X11)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| p1(X11)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| ~ p1(esk54_0)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| ~ p1(esk54_0)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| ~ p1(esk54_0)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| ~ p1(esk54_0)
| ~ q1(X9)
| p1(X9)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| p1(X11)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| p1(X11)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| p1(X11)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| p1(X11)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| ~ p1(esk54_0)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| ~ p1(esk54_0)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| ~ p1(esk54_0)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| ~ p1(esk54_0)
| q1(X10)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| p1(X11)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| p1(X11)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| p1(X11)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| p1(X11)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| p1(X10)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| p1(X11)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| p1(X11)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| p1(X11)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| p1(X11)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| ~ p1(esk54_0)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| ~ p1(esk54_0)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| ~ p1(esk54_0)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| ~ p1(esk54_0)
| q1(X10)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| p1(X11)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| p1(X11)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| p1(X11)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| p1(X11)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ p1(X14)
| q1(X14)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( r1(esk55_0)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ r1(X15)
| p1(X15)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 )
& ( ~ q1(esk55_0)
| ~ p1(esk54_0)
| ~ p1(esk53_0)
| ~ p1(esk52_0)
| ~ epred9_0
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_512])])])])])])]) ).
cnf(c_0_518,plain,
( epred9_0
| ~ a_member_of(esk49_2(esk51_0,esk50_0),esk51_0)
| ~ p(X1,esk48_1(X2))
| ~ p(X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_513]),c_0_462]) ).
cnf(c_0_519,plain,
( epred9_0
| p(X1,esk48_1(X2))
| ~ a_member_of(esk49_2(esk51_0,esk50_0),esk51_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_513]),c_0_462]) ).
cnf(c_0_520,plain,
( epred9_0
| a_member_of(X1,esk51_0)
| ~ a_member_of(X1,esk50_0)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_514,c_0_494]) ).
cnf(c_0_521,plain,
( epred11_0
| p1(esk56_0)
| ~ epred10_0
| ~ p1(X1)
| ~ p(X2,esk60_0)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_522,plain,
( epred11_0
| p(esk59_0,X1)
| p1(esk56_0)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_523,plain,
( epred10_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ epred9_0
| ~ q1(X1)
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_524,plain,
( epred10_0
| p1(X1)
| q1(X1)
| p1(X2)
| p1(X3)
| ~ epred9_0
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_525,plain,
( epred9_0
| ~ a_member_of(esk49_2(esk51_0,esk50_0),esk51_0)
| ~ p(X1,X2) ),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_526,plain,
( epred9_0
| a_member_of(X1,esk51_0)
| ~ a_member_of(X1,esk50_0) ),
inference(spm,[status(thm)],[c_0_520,c_0_501]) ).
cnf(c_0_527,plain,
( epred11_0
| p1(esk56_0)
| ~ epred10_0
| ~ p1(X1)
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_521,c_0_522]) ).
cnf(c_0_528,plain,
( epred10_0
| q1(X1)
| p1(X2)
| p1(X3)
| ~ epred9_0
| ~ p1(esk52_0)
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_529,plain,
( epred10_0
| p1(X1)
| p1(X2)
| p1(X3)
| ~ epred9_0
| ~ r1(X3) ),
inference(csr,[status(thm)],[c_0_523,c_0_524]) ).
cnf(c_0_530,plain,
( epred10_0
| p1(X1)
| q1(X1)
| r1(esk55_0)
| ~ epred9_0
| ~ p1(esk54_0) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_531,plain,
( epred10_0
| p1(X1)
| q1(X1)
| p1(X2)
| r1(esk55_0)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_532,plain,
( epred9_0
| ~ p(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_513]) ).
cnf(c_0_533,plain,
( epred11_0
| p1(esk56_0)
| ~ epred10_0
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_527,c_0_516]) ).
cnf(c_0_534,plain,
( epred10_0
| q1(X1)
| p1(X2)
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk54_0)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_535,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ r1(X2) ),
inference(csr,[status(thm)],[c_0_528,c_0_529]) ).
cnf(c_0_536,plain,
( epred10_0
| p1(X1)
| p1(X2)
| r1(esk55_0)
| ~ epred9_0
| ~ q1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_537,plain,
( epred10_0
| r1(esk55_0)
| p1(X1)
| q1(X1)
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_530,c_0_531]) ).
cnf(c_0_538,plain,
( epred9_0
| ~ a_member_of(esk49_2(esk51_0,esk50_0),esk51_0) ),
inference(spm,[status(thm)],[c_0_532,c_0_519]) ).
cnf(c_0_539,plain,
( epred11_0
| r1(X1)
| p(esk59_0,X4)
| ~ epred10_0
| ~ p1(X2)
| ~ p1(X3)
| ~ p1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_540,plain,
( epred11_0
| p1(esk56_0)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_533,c_0_516]) ).
cnf(c_0_541,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ q1(X1)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_542,plain,
( epred10_0
| p1(X1)
| q1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_543,plain,
( epred10_0
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk53_0)
| ~ p1(esk54_0)
| ~ q1(esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_544,plain,
( epred10_0
| q1(X1)
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk53_0)
| ~ p1(esk54_0)
| ~ p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_545,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ epred9_0
| ~ q1(X1)
| ~ p1(esk54_0)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_546,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ epred9_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_534,c_0_535]),c_0_535]) ).
cnf(c_0_547,plain,
( epred10_0
| r1(esk55_0)
| p1(X1)
| p1(X2)
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_536,c_0_537]) ).
cnf(c_0_548,plain,
epred9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_526]),c_0_513]) ).
cnf(c_0_549,plain,
( epred11_0
| p(esk59_0,X1)
| r1(X2)
| ~ epred10_0
| ~ p1(X3)
| ~ p1(X4) ),
inference(spm,[status(thm)],[c_0_539,c_0_540]) ).
cnf(c_0_550,plain,
( epred10_0
| q1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_551,plain,
( epred10_0
| p1(X1)
| p1(X2)
| q1(X3)
| ~ epred9_0
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_541,c_0_542]) ).
cnf(c_0_552,plain,
( epred10_0
| p1(X1)
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk53_0)
| ~ p1(esk54_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_553,plain,
( epred10_0
| r1(esk55_0)
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk53_0)
| ~ p1(esk54_0) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_554,plain,
( epred10_0
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk53_0)
| ~ p1(esk54_0)
| ~ p1(esk55_0) ),
inference(spm,[status(thm)],[c_0_543,c_0_544]) ).
cnf(c_0_555,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ epred9_0
| ~ r1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_545,c_0_529]),c_0_546]) ).
cnf(c_0_556,plain,
( epred10_0
| r1(esk55_0)
| p1(X1)
| p1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_547,c_0_548])]) ).
cnf(c_0_557,plain,
( epred11_0
| p(esk59_0,X1)
| r1(X2)
| ~ epred10_0
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_549,c_0_540]) ).
cnf(c_0_558,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ epred9_0
| ~ q1(X1)
| ~ p1(esk54_0)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_559,plain,
( epred10_0
| p1(X1)
| q1(X2)
| q1(X3)
| ~ epred9_0
| ~ p1(X3) ),
inference(csr,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_560,plain,
( epred10_0
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk53_0)
| ~ p1(esk54_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_554]) ).
cnf(c_0_561,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_555,c_0_548])]) ).
cnf(c_0_562,plain,
( epred10_0
| r1(esk55_0)
| p1(X1) ),
inference(ef,[status(thm)],[c_0_556]) ).
cnf(c_0_563,plain,
( epred11_0
| p(esk59_0,X2)
| ~ epred10_0
| ~ r1(esk57_0)
| ~ p1(X1)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_564,plain,
( epred11_0
| p(esk59_0,X1)
| r1(X2)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_557,c_0_540]) ).
cnf(c_0_565,plain,
( epred10_0
| q1(X1)
| q1(X2)
| ~ epred9_0
| ~ p1(esk52_0)
| ~ p1(esk54_0)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_566,plain,
( epred10_0
| p1(X1)
| q1(X2)
| ~ epred9_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_558,c_0_551]),c_0_559]) ).
cnf(c_0_567,plain,
( epred10_0
| ~ p1(esk52_0)
| ~ p1(esk53_0)
| ~ p1(esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_560,c_0_548])]) ).
cnf(c_0_568,plain,
( epred10_0
| p1(esk55_0)
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_569,plain,
( epred11_0
| r1(X1)
| p1(esk58_0)
| ~ epred10_0
| ~ p1(X2)
| ~ p(X3,esk60_0)
| ~ p1(X4) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_570,plain,
( epred11_0
| r1(X1)
| ~ epred10_0
| ~ p1(X2)
| ~ p1(X3)
| ~ p(X4,esk60_0)
| ~ p1(X5) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_571,plain,
( epred11_0
| p(esk59_0,X1)
| ~ epred10_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_540]),c_0_564]) ).
cnf(c_0_572,plain,
( epred10_0
| q1(X1)
| q1(X2)
| ~ epred9_0
| ~ p1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_565,c_0_566]),c_0_566]) ).
cnf(c_0_573,plain,
( epred10_0
| p1(esk55_0)
| p1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_568]),c_0_568]),c_0_568]) ).
cnf(c_0_574,plain,
( epred11_0
| r1(X1)
| ~ epred10_0
| ~ p(X2,esk60_0)
| ~ p1(X3)
| ~ p1(X4) ),
inference(csr,[status(thm)],[c_0_569,c_0_570]) ).
cnf(c_0_575,plain,
( epred11_0
| p(esk59_0,X1)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_540]) ).
cnf(c_0_576,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ epred9_0
| ~ q1(X1)
| ~ q1(esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_577,plain,
( epred10_0
| p1(X1)
| q1(X1)
| p1(X2)
| ~ epred9_0
| ~ q1(esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_578,plain,
( epred10_0
| q1(X1)
| q1(X2)
| ~ p1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_572,c_0_548])]) ).
cnf(c_0_579,plain,
( epred10_0
| p1(esk55_0) ),
inference(ef,[status(thm)],[c_0_573]) ).
fof(c_0_580,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 )
& ( 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 ) ) ),
introduced(definition) ).
cnf(c_0_581,plain,
( epred11_0
| p1(esk58_0)
| ~ epred10_0
| ~ r1(esk57_0)
| ~ p(X1,esk60_0)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_582,plain,
( epred11_0
| ~ epred10_0
| ~ r1(esk57_0)
| ~ p1(X1)
| ~ p(X2,esk60_0)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_583,plain,
( epred11_0
| r1(X1)
| ~ epred10_0
| ~ p1(X2)
| ~ p1(X3) ),
inference(spm,[status(thm)],[c_0_574,c_0_575]) ).
cnf(c_0_584,plain,
( epred10_0
| p1(X1)
| ~ epred9_0
| ~ q1(X1)
| ~ p1(esk54_0)
| ~ q1(esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_585,plain,
( epred10_0
| p1(X1)
| q1(X1)
| ~ epred9_0
| ~ p1(esk54_0)
| ~ q1(esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_586,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ epred9_0
| ~ q1(esk55_0) ),
inference(csr,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_587,plain,
( epred10_0
| q1(esk55_0)
| q1(X1) ),
inference(spm,[status(thm)],[c_0_578,c_0_579]) ).
fof(c_0_588,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 )
& ( 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) ) ) ),
introduced(definition) ).
fof(c_0_589,plain,
( ( epred11_0
& ( ! [X4,X5] : p(X4,X5)
=> ! [X4] : p(X4,X4) )
& ! [X6] :
( ( ( f0
| g0 )
& ! [X4] :
( p1(X4)
& q1(X4) ) )
=> q1(X6) )
& ( ( a0
<=> b0 )
| a0
| b0 ) )
=> epred12_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_580]),c_0_455]) ).
cnf(c_0_590,plain,
( epred11_0
| ~ epred10_0
| ~ p(X1,esk60_0)
| ~ r1(esk57_0)
| ~ p1(X2) ),
inference(csr,[status(thm)],[c_0_581,c_0_582]) ).
cnf(c_0_591,plain,
( epred11_0
| r1(X1)
| ~ epred10_0
| ~ p1(X2) ),
inference(spm,[status(thm)],[c_0_583,c_0_540]) ).
cnf(c_0_592,plain,
( epred10_0
| p1(X1)
| ~ epred9_0
| ~ p1(esk54_0)
| ~ q1(esk55_0) ),
inference(csr,[status(thm)],[c_0_584,c_0_585]) ).
cnf(c_0_593,plain,
( epred10_0
| p1(X1)
| p1(X2)
| ~ q1(esk55_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_586,c_0_548])]) ).
cnf(c_0_594,plain,
( epred10_0
| q1(esk55_0) ),
inference(ef,[status(thm)],[c_0_587]) ).
fof(c_0_595,plain,
( ( epred12_0
& ( ( 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) ) )
=> epred13_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_588]),c_0_580]) ).
fof(c_0_596,plain,
! [X7,X8,X11,X11] :
( ( ~ a0
| ~ b0
| f0
| g0
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| f0
| g0
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| f0
| g0
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| f0
| g0
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| p1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| p1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| p1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| p1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| q1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| q1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| q1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| q1(X11)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ q1(esk63_0)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ q1(esk63_0)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ q1(esk63_0)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| ~ q1(esk63_0)
| p(X7,X8)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| f0
| g0
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| f0
| g0
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| f0
| g0
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| f0
| g0
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| p1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| p1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| p1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| p1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| q1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| q1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| q1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| q1(X11)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ b0
| ~ q1(esk63_0)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( a0
| b0
| ~ q1(esk63_0)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ a0
| ~ q1(esk63_0)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 )
& ( ~ b0
| ~ q1(esk63_0)
| ~ p(esk62_0,esk62_0)
| ~ epred11_0
| epred12_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_589])])])])])])]) ).
cnf(c_0_597,plain,
( epred11_0
| ~ epred10_0
| ~ r1(esk57_0)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_590,c_0_575]) ).
cnf(c_0_598,plain,
( epred11_0
| r1(X1)
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_591,c_0_540]) ).
cnf(c_0_599,plain,
( epred10_0
| p1(X1)
| ~ p1(esk54_0)
| ~ q1(esk55_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_592,c_0_548])]) ).
cnf(c_0_600,plain,
( epred10_0
| p1(X1)
| p1(X2) ),
inference(spm,[status(thm)],[c_0_593,c_0_594]) ).
fof(c_0_601,negated_conjecture,
~ ( epred13_0
& ! [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) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this]),c_0_588]) ).
fof(c_0_602,plain,
! [X9,X10,X9,X10] :
( ( ~ q1(X9)
| p(X9,esk64_0)
| a0
| ~ epred12_0
| epred13_0 )
& ( q1(esk64_0)
| a0
| ~ epred12_0
| epred13_0 )
& ( q1(esk65_0)
| a0
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X10)
| p(esk65_0,X10)
| a0
| ~ epred12_0
| epred13_0 )
& ( r1(esk64_0)
| a0
| ~ epred12_0
| epred13_0 )
& ( r1(esk65_0)
| a0
| ~ epred12_0
| epred13_0 )
& ( ~ s1(esk64_0)
| p(X9,X10)
| a0
| ~ epred12_0
| epred13_0 )
& ( s1(esk64_0)
| a0
| ~ epred12_0
| epred13_0 )
& ( ~ p(esk64_0,esk65_0)
| a0
| ~ epred12_0
| epred13_0 )
& ( ~ q1(X9)
| p(X9,esk64_0)
| b0
| ~ epred12_0
| epred13_0 )
& ( q1(esk64_0)
| b0
| ~ epred12_0
| epred13_0 )
& ( q1(esk65_0)
| b0
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X10)
| p(esk65_0,X10)
| b0
| ~ epred12_0
| epred13_0 )
& ( r1(esk64_0)
| b0
| ~ epred12_0
| epred13_0 )
& ( r1(esk65_0)
| b0
| ~ epred12_0
| epred13_0 )
& ( ~ s1(esk64_0)
| p(X9,X10)
| b0
| ~ epred12_0
| epred13_0 )
& ( s1(esk64_0)
| b0
| ~ epred12_0
| epred13_0 )
& ( ~ p(esk64_0,esk65_0)
| b0
| ~ epred12_0
| epred13_0 )
& ( ~ q1(X9)
| p(X9,esk64_0)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( q1(esk64_0)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( q1(esk65_0)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X10)
| p(esk65_0,X10)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( r1(esk64_0)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( r1(esk65_0)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( ~ s1(esk64_0)
| p(X9,X10)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( s1(esk64_0)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( ~ p(esk64_0,esk65_0)
| ~ a0
| ~ b0
| ~ epred12_0
| epred13_0 )
& ( ~ q1(X9)
| p(X9,esk64_0)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( q1(esk64_0)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( q1(esk65_0)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( ~ r1(X10)
| p(esk65_0,X10)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( r1(esk64_0)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( r1(esk65_0)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( ~ s1(esk64_0)
| p(X9,X10)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( s1(esk64_0)
| a0
| b0
| ~ epred12_0
| epred13_0 )
& ( ~ p(esk64_0,esk65_0)
| a0
| b0
| ~ epred12_0
| epred13_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_595])])])])])])]) ).
cnf(c_0_603,plain,
( epred12_0
| p(X1,X2)
| q1(X3)
| b0
| a0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_604,plain,
( epred12_0
| p(X1,X2)
| q1(X3)
| ~ epred11_0
| ~ b0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_605,plain,
( epred12_0
| p(X1,X2)
| q1(X3)
| ~ epred11_0
| ~ a0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_606,plain,
( epred12_0
| b0
| a0
| ~ epred11_0
| ~ p(esk62_0,esk62_0)
| ~ q1(esk63_0) ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_607,plain,
( epred12_0
| ~ epred11_0
| ~ p(esk62_0,esk62_0)
| ~ q1(esk63_0)
| ~ b0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_608,plain,
( epred12_0
| ~ epred11_0
| ~ p(esk62_0,esk62_0)
| ~ q1(esk63_0)
| ~ a0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_609,plain,
( epred11_0
| ~ epred10_0
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_597,c_0_598]) ).
cnf(c_0_610,plain,
( epred10_0
| p1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_594]),c_0_600]) ).
fof(c_0_611,negated_conjecture,
! [X7,X8,X9,X10,X12,X12] :
( ( ~ p1(X10)
| q1(X10)
| r1(esk1_0)
| p(f(X7),X7)
| ~ epred13_0 )
& ( ~ q1(esk2_0)
| r1(esk3_0)
| r1(esk1_0)
| p(f(X7),X7)
| ~ epred13_0 )
& ( p1(X12)
| r1(esk1_0)
| p(f(X7),X7)
| ~ epred13_0 )
& ( ~ r1(X12)
| r1(esk1_0)
| p(f(X7),X7)
| ~ epred13_0 )
& ( ~ p1(X10)
| q1(X10)
| ~ r1(X7)
| p(f(X7),X7)
| ~ epred13_0 )
& ( ~ q1(esk2_0)
| r1(esk3_0)
| ~ r1(X7)
| p(f(X7),X7)
| ~ epred13_0 )
& ( p1(X12)
| ~ r1(X7)
| p(f(X7),X7)
| ~ epred13_0 )
& ( ~ r1(X12)
| ~ r1(X7)
| p(f(X7),X7)
| ~ epred13_0 )
& ( ~ p1(X10)
| q1(X10)
| q(f(esk1_0),esk1_0)
| ~ p(X8,X9)
| ~ epred13_0 )
& ( ~ q1(esk2_0)
| r1(esk3_0)
| q(f(esk1_0),esk1_0)
| ~ p(X8,X9)
| ~ epred13_0 )
& ( p1(X12)
| q(f(esk1_0),esk1_0)
| ~ p(X8,X9)
| ~ epred13_0 )
& ( ~ r1(X12)
| q(f(esk1_0),esk1_0)
| ~ p(X8,X9)
| ~ epred13_0 )
& ( ~ p1(X10)
| q1(X10)
| ~ q(X8,X9)
| ~ p(X8,X9)
| ~ epred13_0 )
& ( ~ q1(esk2_0)
| r1(esk3_0)
| ~ q(X8,X9)
| ~ p(X8,X9)
| ~ epred13_0 )
& ( p1(X12)
| ~ q(X8,X9)
| ~ p(X8,X9)
| ~ epred13_0 )
& ( ~ r1(X12)
| ~ q(X8,X9)
| ~ p(X8,X9)
| ~ epred13_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_601])])])])])])]) ).
cnf(c_0_612,plain,
( epred13_0
| s1(esk64_0)
| ~ epred12_0
| ~ b0
| ~ a0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_613,plain,
( epred13_0
| b0
| s1(esk64_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_614,plain,
( epred13_0
| a0
| s1(esk64_0)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_615,plain,
( epred12_0
| q1(X1)
| b0
| a0
| ~ epred11_0
| ~ p(esk62_0,esk62_0) ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_616,plain,
( epred12_0
| q1(X1)
| ~ epred11_0
| ~ p(esk62_0,esk62_0)
| ~ b0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_617,plain,
( epred12_0
| q1(X1)
| ~ epred11_0
| ~ p(esk62_0,esk62_0)
| ~ a0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_618,plain,
( epred12_0
| p(X1,X2)
| ~ epred11_0
| ~ q1(esk63_0)
| ~ b0
| ~ a0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_619,plain,
( epred12_0
| p(X1,X2)
| b0
| a0
| ~ epred11_0
| ~ q1(esk63_0) ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_620,plain,
( epred12_0
| p(X1,X2)
| q1(X3)
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_603,c_0_604]),c_0_605]) ).
cnf(c_0_621,plain,
( epred12_0
| ~ epred11_0
| ~ p(esk62_0,esk62_0)
| ~ q1(esk63_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_606,c_0_607]),c_0_608]) ).
cnf(c_0_622,plain,
( epred12_0
| p(X1,X2)
| ~ epred11_0
| ~ q1(esk63_0)
| ~ a0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_623,plain,
( epred12_0
| p(X1,X2)
| ~ epred11_0
| ~ q1(esk63_0)
| ~ b0 ),
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_624,plain,
( epred11_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_609,c_0_540]) ).
cnf(c_0_625,plain,
epred10_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_610]),c_0_610]),c_0_610]) ).
cnf(c_0_626,negated_conjecture,
( q(f(esk1_0),esk1_0)
| r1(esk3_0)
| ~ epred13_0
| ~ p(X1,X2)
| ~ q1(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_627,negated_conjecture,
( q(f(esk1_0),esk1_0)
| ~ epred13_0
| ~ p(X1,X2)
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_628,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0)
| r1(esk3_0)
| ~ epred13_0
| ~ q1(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_629,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0)
| ~ epred13_0
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_630,plain,
( epred13_0
| p(X1,X2)
| ~ epred12_0
| ~ b0
| ~ a0
| ~ s1(esk64_0) ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_631,plain,
( epred13_0
| s1(esk64_0)
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_612,c_0_613]),c_0_614]) ).
cnf(c_0_632,plain,
( epred12_0
| q1(X1)
| ~ epred11_0
| ~ p(esk62_0,esk62_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_615,c_0_616]),c_0_617]) ).
cnf(c_0_633,plain,
( epred12_0
| p(X1,X2)
| ~ epred11_0
| ~ b0
| ~ a0 ),
inference(csr,[status(thm)],[c_0_618,c_0_604]) ).
cnf(c_0_634,plain,
( epred12_0
| p(X1,X2)
| b0
| a0
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_619,c_0_620]) ).
cnf(c_0_635,plain,
( epred12_0
| ~ epred11_0
| ~ a0
| ~ q1(esk63_0) ),
inference(spm,[status(thm)],[c_0_621,c_0_622]) ).
cnf(c_0_636,plain,
( epred12_0
| ~ epred11_0
| ~ b0
| ~ q1(esk63_0) ),
inference(spm,[status(thm)],[c_0_621,c_0_623]) ).
cnf(c_0_637,plain,
epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_624,c_0_625])]) ).
cnf(c_0_638,negated_conjecture,
( r1(esk3_0)
| ~ epred13_0
| ~ p(X1,X2)
| ~ q(X1,X2)
| ~ q1(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_639,negated_conjecture,
( ~ epred13_0
| ~ p(X1,X2)
| ~ q(X1,X2)
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_640,negated_conjecture,
( q(f(esk1_0),esk1_0)
| ~ epred13_0
| ~ p(X1,X2)
| ~ q1(esk2_0) ),
inference(csr,[status(thm)],[c_0_626,c_0_627]) ).
cnf(c_0_641,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0)
| ~ epred13_0
| ~ q1(esk2_0) ),
inference(csr,[status(thm)],[c_0_628,c_0_629]) ).
cnf(c_0_642,plain,
( epred13_0
| ~ epred12_0
| ~ b0
| ~ a0
| ~ p(esk64_0,esk65_0) ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_643,plain,
( epred13_0
| p(X1,X2)
| ~ epred12_0
| ~ b0
| ~ a0 ),
inference(csr,[status(thm)],[c_0_630,c_0_631]) ).
cnf(c_0_644,plain,
( epred12_0
| q1(X1)
| ~ epred11_0
| ~ b0
| ~ a0 ),
inference(spm,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_645,plain,
( epred13_0
| b0
| p(X1,X2)
| ~ epred12_0
| ~ s1(esk64_0) ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_646,plain,
( epred12_0
| ~ epred11_0
| ~ q1(esk63_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_634]),c_0_635]),c_0_636]) ).
cnf(c_0_647,plain,
( epred12_0
| p(X1,X2)
| q1(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_620,c_0_637])]) ).
cnf(c_0_648,negated_conjecture,
( ~ epred13_0
| ~ p(X1,X2)
| ~ q(X1,X2)
| ~ q1(esk2_0) ),
inference(csr,[status(thm)],[c_0_638,c_0_639]) ).
cnf(c_0_649,negated_conjecture,
( q(f(esk1_0),esk1_0)
| r1(esk1_0)
| ~ epred13_0
| ~ q1(esk2_0) ),
inference(spm,[status(thm)],[c_0_640,c_0_641]) ).
cnf(c_0_650,negated_conjecture,
( p(f(X1),X1)
| q1(X2)
| ~ epred13_0
| ~ r1(X1)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_651,negated_conjecture,
( p(f(X1),X1)
| p1(X2)
| ~ epred13_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_652,plain,
( epred13_0
| ~ epred12_0
| ~ b0
| ~ a0 ),
inference(spm,[status(thm)],[c_0_642,c_0_643]) ).
cnf(c_0_653,plain,
( epred12_0
| ~ epred11_0
| ~ b0
| ~ a0 ),
inference(spm,[status(thm)],[c_0_635,c_0_644]) ).
cnf(c_0_654,plain,
( epred13_0
| b0
| ~ epred12_0
| ~ p(esk64_0,esk65_0) ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_655,plain,
( epred13_0
| p(X1,X2)
| b0
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_645,c_0_631]) ).
cnf(c_0_656,plain,
( epred12_0
| ~ q1(esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_646,c_0_637])]) ).
cnf(c_0_657,plain,
( epred12_0
| q1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_632,c_0_637])]),c_0_647]) ).
cnf(c_0_658,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0)
| q1(X2)
| ~ epred13_0
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_659,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0)
| p1(X2)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_660,negated_conjecture,
( p(f(X1),X1)
| ~ epred13_0
| ~ r1(X1)
| ~ r1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_661,negated_conjecture,
( r1(esk1_0)
| ~ epred13_0
| ~ q1(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_649]),c_0_641]) ).
cnf(c_0_662,negated_conjecture,
( p(f(X1),X1)
| q1(X2)
| ~ epred13_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_663,plain,
( epred13_0
| a0
| p(X1,X2)
| ~ epred12_0
| ~ s1(esk64_0) ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_664,plain,
( epred13_0
| ~ epred11_0
| ~ b0
| ~ a0 ),
inference(spm,[status(thm)],[c_0_652,c_0_653]) ).
cnf(c_0_665,plain,
( epred13_0
| b0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_666,plain,
epred12_0,
inference(spm,[status(thm)],[c_0_656,c_0_657]) ).
cnf(c_0_667,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0)
| q1(X2)
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_658,c_0_659]) ).
cnf(c_0_668,negated_conjecture,
( p(f(X1),X1)
| ~ epred13_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_661]),c_0_662]) ).
cnf(c_0_669,plain,
( epred13_0
| a0
| ~ epred12_0
| ~ p(esk64_0,esk65_0) ),
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_670,plain,
( epred13_0
| p(X1,X2)
| a0
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_663,c_0_631]) ).
cnf(c_0_671,plain,
( epred13_0
| ~ b0
| ~ a0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_664,c_0_637])]) ).
cnf(c_0_672,plain,
( epred13_0
| b0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_665,c_0_666])]) ).
cnf(c_0_673,negated_conjecture,
( q(f(esk1_0),esk1_0)
| q1(X3)
| ~ epred13_0
| ~ p(X1,X2)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_674,negated_conjecture,
( q(f(esk1_0),esk1_0)
| p1(X3)
| ~ epred13_0
| ~ p(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_675,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0)
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_661]),c_0_667]) ).
cnf(c_0_676,negated_conjecture,
( q(f(esk1_0),esk1_0)
| ~ epred13_0
| ~ r1(X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_627,c_0_668]) ).
cnf(c_0_677,plain,
( epred13_0
| a0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_669,c_0_670]) ).
cnf(c_0_678,plain,
( epred13_0
| ~ a0 ),
inference(spm,[status(thm)],[c_0_671,c_0_672]) ).
cnf(c_0_679,negated_conjecture,
( q1(X3)
| ~ epred13_0
| ~ p(X1,X2)
| ~ q(X1,X2)
| ~ p1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_680,negated_conjecture,
( p1(X3)
| ~ epred13_0
| ~ p(X1,X2)
| ~ q(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_681,negated_conjecture,
( q(f(esk1_0),esk1_0)
| q1(X1)
| ~ epred13_0
| ~ p(X2,X3) ),
inference(csr,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_682,negated_conjecture,
( q(f(esk1_0),esk1_0)
| ~ epred13_0
| ~ r1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_627,c_0_675]),c_0_676]) ).
cnf(c_0_683,plain,
epred13_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_677,c_0_666])]),c_0_678]) ).
cnf(c_0_684,negated_conjecture,
( q1(X1)
| ~ epred13_0
| ~ p(X2,X3)
| ~ q(X2,X3) ),
inference(csr,[status(thm)],[c_0_679,c_0_680]) ).
cnf(c_0_685,negated_conjecture,
( q(f(esk1_0),esk1_0)
| r1(esk1_0)
| q1(X1)
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_681,c_0_675]) ).
cnf(c_0_686,negated_conjecture,
( q(f(esk1_0),esk1_0)
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_682,c_0_683])]) ).
cnf(c_0_687,negated_conjecture,
( q1(X1)
| ~ p(X2,X3)
| ~ q(X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_684,c_0_683])]) ).
cnf(c_0_688,negated_conjecture,
( q(f(esk1_0),esk1_0)
| q1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_685,c_0_683])]),c_0_686]) ).
cnf(c_0_689,negated_conjecture,
( q(f(esk1_0),esk1_0)
| ~ epred13_0
| ~ r1(X1)
| ~ q1(esk2_0) ),
inference(spm,[status(thm)],[c_0_640,c_0_668]) ).
cnf(c_0_690,negated_conjecture,
( q1(X1)
| q1(X2)
| ~ p(f(esk1_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_687,c_0_688]) ).
cnf(c_0_691,negated_conjecture,
( p(f(X1),X1)
| r1(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_675,c_0_683])]) ).
cnf(c_0_692,negated_conjecture,
( q(f(esk1_0),esk1_0)
| ~ epred13_0
| ~ q1(esk2_0) ),
inference(spm,[status(thm)],[c_0_689,c_0_661]) ).
cnf(c_0_693,negated_conjecture,
( r1(esk1_0)
| q1(X1)
| q1(X2) ),
inference(spm,[status(thm)],[c_0_690,c_0_691]) ).
cnf(c_0_694,negated_conjecture,
( ~ epred13_0
| ~ p(f(esk1_0),esk1_0)
| ~ q1(esk2_0) ),
inference(spm,[status(thm)],[c_0_648,c_0_692]) ).
cnf(c_0_695,negated_conjecture,
( p(f(X1),X1)
| ~ r1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_683])]) ).
cnf(c_0_696,negated_conjecture,
( r1(esk1_0)
| q1(X1) ),
inference(ef,[status(thm)],[c_0_693]) ).
cnf(c_0_697,negated_conjecture,
( ~ epred13_0
| ~ q1(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_668]),c_0_661]) ).
cnf(c_0_698,negated_conjecture,
( q1(X1)
| q1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_695]),c_0_696]) ).
cnf(c_0_699,negated_conjecture,
~ q1(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_697,c_0_683])]) ).
cnf(c_0_700,negated_conjecture,
q1(X1),
inference(ef,[status(thm)],[c_0_698]) ).
cnf(c_0_701,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_699,c_0_700])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 21:19:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.40 # Preprocessing time : 0.084 s
% 0.24/1.40
% 0.24/1.40 # Proof found!
% 0.24/1.40 # SZS status Theorem
% 0.24/1.40 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 702
% 0.24/1.41 # Proof object clause steps : 660
% 0.24/1.41 # Proof object formula steps : 42
% 0.24/1.41 # Proof object conjectures : 48
% 0.24/1.41 # Proof object clause conjectures : 45
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 239
% 0.24/1.41 # Proof object initial formulas used : 1
% 0.24/1.41 # Proof object generating inferences : 218
% 0.24/1.41 # Proof object simplifying inferences : 510
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 1
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 600
% 0.24/1.41 # Removed in clause preprocessing : 12
% 0.24/1.41 # Initial clauses in saturation : 588
% 0.24/1.41 # Processed clauses : 1870
% 0.24/1.41 # ...of these trivial : 52
% 0.24/1.41 # ...subsumed : 524
% 0.24/1.41 # ...remaining for further processing : 1294
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 904
% 0.24/1.41 # Backward-rewritten : 369
% 0.24/1.41 # Generated clauses : 5799
% 0.24/1.41 # ...of the previous two non-trivial : 4785
% 0.24/1.41 # Contextual simplify-reflections : 1648
% 0.24/1.41 # Paramodulations : 5645
% 0.24/1.41 # Factorizations : 154
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 21
% 0.24/1.41 # Positive orientable unit clauses : 14
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 0
% 0.24/1.41 # Non-unit-clauses : 7
% 0.24/1.41 # Current number of unprocessed clauses: 3
% 0.24/1.41 # ...number of literals in the above : 9
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 1273
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 208287
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 7225
% 0.24/1.41 # Non-unit clause-clause subsumptions : 3063
% 0.24/1.41 # Unit Clause-clause subsumption calls : 1113
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 16
% 0.24/1.41 # BW rewrite match successes : 16
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 145711
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.521 s
% 0.24/1.41 # System time : 0.006 s
% 0.24/1.41 # Total time : 0.527 s
% 0.24/1.41 # Maximum resident set size: 5556 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------