%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO500_8.004 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:50:50 PM UTC 2026
% Result : Theorem 0.14s 0.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 15
% Syntax : Number of formulae : 372 ( 12 unt; 0 def)
% Number of atoms : 5612 ( 0 equ)
% Maximal formula atoms : 767 ( 15 avg)
% Number of connectives : 7993 (2753 ~;3956 |;1257 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
tff(decl_23,type,
x: $o ).
tff(decl_24,type,
f0: $o > $o ).
tff(decl_25,type,
f1: $o > $o ).
tff(decl_26,type,
f2: $o > $o ).
tff(decl_27,type,
f3: $o > $o ).
tff(decl_28,type,
epred1_0: $o ).
tff(decl_29,type,
epred2_0: $o ).
tff(decl_30,type,
epred3_0: $o ).
tff(decl_31,type,
epred4_0: $o ).
tff(decl_32,type,
epred5_0: $o ).
tff(decl_33,type,
epred6_0: $o ).
tff(decl_34,type,
epred7_0: $o ).
tff(decl_35,type,
epred8_0: $o ).
tff(decl_36,type,
epred9_0: $o ).
tff(decl_37,type,
epred10_0: $o ).
tff(decl_38,type,
epred11_0: $o ).
tff(decl_39,type,
epred12_0: $o ).
tff(decl_40,type,
epred13_0: $o ).
tff(decl_41,type,
epred14_0: $o ).
fof(kaminski4,conjecture,
( f0(f0(f0(f1(f2(f2(f2(f3(x))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(x)))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski4) ).
fof(c_0_1,plain,
( epred9_0
<=> ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred10_0
<=> ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred8_0
<=> ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
( ( epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| ~ f3($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| ~ f3($true)
| ~ f3($true)
| ~ x )
& ( epred9_0
| ~ f3($true)
| x
| ~ f3($false) )
& ( epred9_0
| ~ f3($true)
| x
| ~ x )
& ( epred9_0
| f3($true)
| f3($false)
| ~ f3($false) )
& ( epred9_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred9_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred9_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred9_0
| f3($true)
| ~ x
| ~ f3($false) )
& ( epred9_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred9_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred9_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred9_0
| x
| f3($false)
| ~ f3($false) )
& ( epred9_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred9_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred9_0
| x
| f3($false)
| x
| ~ x )
& ( epred9_0
| x
| ~ x
| ~ f3($false) )
& ( epred9_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred9_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred9_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred9_0
| f3($false)
| f3($false)
| x )
& ( ~ epred9_0
| f3($false)
| f3($true)
| ~ x )
& ( ~ epred9_0
| f3($true)
| ~ f3($false)
| x )
& ( ~ epred9_0
| f3($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
fof(c_0_5,plain,
( epred10_0
<=> ( ( ~ f2($false)
| ( ( f3($false)
| epred9_0 )
& ( f3($true)
| epred8_0 ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| epred9_0 )
& ( ~ f3($true)
| epred8_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,c_0_3]),c_0_1]),c_0_3]),c_0_1]) ).
cnf(c_0_6,plain,
( ~ epred9_0
| f3($false)
| f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
( epred1_0
<=> ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( ( epred10_0
| f2($true)
| f2($false) )
& ( epred10_0
| f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| f2($true)
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| f2($true)
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| f2($true)
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| f3($false)
| f2($false) )
& ( epred10_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| ~ epred9_0
| f2($false) )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| f3($false)
| f2($false) )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| f2($false) )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( ~ epred10_0
| ~ f2($false)
| f3($false)
| epred9_0 )
& ( ~ epred10_0
| ~ f2($false)
| f3($true)
| epred8_0 )
& ( ~ epred10_0
| ~ f2($true)
| ~ f3($false)
| epred9_0 )
& ( ~ epred10_0
| ~ f2($true)
| ~ f3($true)
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( ~ epred9_0
| ~ f3($false)
| f3($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( ~ epred9_0
| f3($false)
| x ),
inference(cn,[status(thm)],[c_0_6]) ).
fof(c_0_11,plain,
( ( epred1_0
| f2($true)
| f2($false) )
& ( epred1_0
| f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| f2($true)
| ~ f3($true)
| ~ x )
& ( epred1_0
| f2($true)
| x
| ~ f3($false) )
& ( epred1_0
| f2($true)
| x
| ~ x )
& ( epred1_0
| f3($true)
| f3($false)
| f2($false) )
& ( epred1_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred1_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred1_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred1_0
| f3($true)
| ~ x
| f2($false) )
& ( epred1_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred1_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred1_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred1_0
| x
| f3($false)
| f2($false) )
& ( epred1_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred1_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred1_0
| x
| f3($false)
| x
| ~ x )
& ( epred1_0
| x
| ~ x
| f2($false) )
& ( epred1_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred1_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred1_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred1_0
| ~ f2($false)
| f3($false)
| x )
& ( ~ epred1_0
| ~ f2($false)
| f3($true)
| ~ x )
& ( ~ epred1_0
| ~ f2($true)
| ~ f3($false)
| x )
& ( ~ epred1_0
| ~ f2($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_12,plain,
( ~ f3($true)
| ~ epred9_0
| epred10_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( ~ epred9_0
| x
| f3($true) ),
inference(csr,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
( epred11_0
<=> ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_15,plain,
( ~ epred1_0
| ~ f2($false)
| ~ x
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( epred10_0
| f2($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( ~ epred1_0
| ~ f2($true)
| ~ f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ epred9_0
| x
| f2($true)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_19,plain,
( epred7_0
<=> ( ( f0($false)
| ( ( f0($false)
| ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_20,plain,
( epred5_0
<=> ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_21,plain,
( epred6_0
<=> ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_22,plain,
( epred11_0
<=> ( ( f2($false)
| ( ( f3($false)
| epred9_0 )
& ( f3($true)
| epred8_0 ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| epred9_0 )
& ( ~ f3($true)
| epred8_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14,c_0_3]),c_0_1]),c_0_3]),c_0_1]) ).
fof(c_0_23,plain,
( ( epred8_0
| f3($true)
| f3($false) )
& ( epred8_0
| f3($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| f3($true)
| ~ f3($true)
| ~ x )
& ( epred8_0
| f3($true)
| x
| ~ f3($false) )
& ( epred8_0
| f3($true)
| x
| ~ x )
& ( epred8_0
| f3($true)
| f3($false)
| f3($false) )
& ( epred8_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred8_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred8_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred8_0
| f3($true)
| ~ x
| f3($false) )
& ( epred8_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred8_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred8_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred8_0
| x
| f3($false)
| f3($false) )
& ( epred8_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred8_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred8_0
| x
| f3($false)
| x
| ~ x )
& ( epred8_0
| x
| ~ x
| f3($false) )
& ( epred8_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred8_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred8_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred8_0
| ~ f3($false)
| f3($false)
| x )
& ( ~ epred8_0
| ~ f3($false)
| f3($true)
| ~ x )
& ( ~ epred8_0
| ~ f3($true)
| ~ f3($false)
| x )
& ( ~ epred8_0
| ~ f3($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_24,plain,
( ~ x
| ~ epred1_0
| f2($true)
| f3($true)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,plain,
( ~ epred1_0
| ~ epred9_0
| x
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_10]) ).
fof(c_0_26,plain,
( epred7_0
<=> ( ( f0($false)
| ( ( f0($false)
| epred6_0 )
& ( f0($true)
| epred5_0 ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| epred6_0 )
& ( ~ f0($true)
| epred5_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_20]),c_0_21]) ).
fof(c_0_27,plain,
( ( epred11_0
| ~ f2($true)
| ~ f2($false) )
& ( epred11_0
| ~ f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| ~ f2($true)
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| ~ f2($true)
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| ~ f2($true)
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| f3($false)
| ~ f2($false) )
& ( epred11_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ f2($false) )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ f2($false) )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ f2($false) )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( ~ epred11_0
| f2($false)
| f3($false)
| epred9_0 )
& ( ~ epred11_0
| f2($false)
| f3($true)
| epred8_0 )
& ( ~ epred11_0
| f2($true)
| ~ f3($false)
| epred9_0 )
& ( ~ epred11_0
| f2($true)
| ~ f3($true)
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_28,plain,
( ~ x
| ~ f3($false)
| epred9_0
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( ~ f3($true)
| ~ f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,plain,
( ~ f3($false)
| epred8_0
| f3($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( epred8_0
| f3($true)
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( ~ epred1_0
| ~ f2($true)
| ~ f3($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,plain,
( ~ epred1_0
| ~ epred9_0
| f2($true)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_24]),c_0_25]) ).
fof(c_0_34,plain,
( epred3_0
<=> ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_35,plain,
( epred4_0
<=> ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_36,plain,
( ( epred7_0
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ f0($true)
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ f0($true)
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| ~ f0($true)
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| ~ f0($true)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| f0($false)
| ~ f0($false) )
& ( epred7_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| f0($false)
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| f0($true)
| f0($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ f0($false) )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( ~ epred7_0
| f0($false)
| f0($false)
| epred6_0 )
& ( ~ epred7_0
| f0($false)
| f0($true)
| epred5_0 )
& ( ~ epred7_0
| f0($true)
| ~ f0($false)
| epred6_0 )
& ( ~ epred7_0
| f0($true)
| ~ f0($true)
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
cnf(c_0_37,plain,
( ~ epred9_0
| ~ f2($false)
| epred11_0
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( ~ x
| ~ f3($false)
| epred9_0 ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( x
| f3($true)
| epred8_0 ),
inference(csr,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,plain,
( ~ f3($true)
| ~ f3($true)
| ~ x
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_41,plain,
( epred2_0
<=> ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
cnf(c_0_42,plain,
( ~ f3($true)
| ~ epred1_0
| ~ epred9_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_25]) ).
cnf(c_0_43,plain,
( ~ epred9_0
| epred10_0
| f3($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_44,plain,
( epred6_0
<=> ( ( f0($false)
| ( ( f1($false)
| epred4_0 )
& ( f1($true)
| epred3_0 ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| epred4_0 )
& ( ~ f1($true)
| epred3_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_34]),c_0_35]),c_0_34]),c_0_35]) ).
cnf(c_0_45,plain,
( ~ epred7_0
| f0($false)
| f0($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_46,negated_conjecture,
~ ( f0(f0(f0(f1(f2(f2(f2(f3(x))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(x)))))))) ),
inference(assume_negation,[status(cth)],[kaminski4]) ).
fof(c_0_47,plain,
( epred14_0
<=> ( ( f0($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_48,plain,
( ~ f2($true)
| ~ f3($true)
| ~ epred9_0
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_49,plain,
( ~ epred9_0
| f2($true)
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_16]),c_0_12]) ).
cnf(c_0_50,plain,
( ~ f2($true)
| ~ f2($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_51,plain,
( f3($true)
| epred8_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_39]) ).
cnf(c_0_52,plain,
( epred8_0
| x
| f3($false)
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_53,plain,
( ~ f3($true)
| ~ x
| epred9_0 ),
inference(cn,[status(thm)],[c_0_40]) ).
fof(c_0_54,plain,
( ( epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred2_0
| ~ f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| ~ f2($true)
| ~ f3($true)
| ~ x )
& ( epred2_0
| ~ f2($true)
| x
| ~ f3($false) )
& ( epred2_0
| ~ f2($true)
| x
| ~ x )
& ( epred2_0
| f3($true)
| f3($false)
| ~ f2($false) )
& ( epred2_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred2_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred2_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred2_0
| f3($true)
| ~ x
| ~ f2($false) )
& ( epred2_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred2_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred2_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred2_0
| x
| f3($false)
| ~ f2($false) )
& ( epred2_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred2_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred2_0
| x
| f3($false)
| x
| ~ x )
& ( epred2_0
| x
| ~ x
| ~ f2($false) )
& ( epred2_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred2_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred2_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred2_0
| f2($false)
| f3($false)
| x )
& ( ~ epred2_0
| f2($false)
| f3($true)
| ~ x )
& ( ~ epred2_0
| f2($true)
| ~ f3($false)
| x )
& ( ~ epred2_0
| f2($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
cnf(c_0_55,plain,
( ~ epred1_0
| ~ epred9_0
| f2($false)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_56,plain,
( epred12_0
<=> ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_57,plain,
( epred13_0
<=> ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_58,plain,
( ( epred6_0
| ~ f0($true)
| ~ f0($false) )
& ( epred6_0
| ~ f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ f0($true)
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| ~ f0($true)
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| ~ f0($true)
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f0($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ f0($false) )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ f0($false) )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ f0($false) )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( ~ epred6_0
| f0($false)
| f1($false)
| epred4_0 )
& ( ~ epred6_0
| f0($false)
| f1($true)
| epred3_0 )
& ( ~ epred6_0
| f0($true)
| ~ f1($false)
| epred4_0 )
& ( ~ epred6_0
| f0($true)
| ~ f1($true)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
cnf(c_0_59,plain,
( ~ epred7_0
| ~ f0($false)
| f0($true)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_60,plain,
( ~ epred7_0
| f0($false)
| epred6_0 ),
inference(cn,[status(thm)],[c_0_45]) ).
fof(c_0_61,negated_conjecture,
~ ( epred7_0
<=> epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_46]),c_0_19]),c_0_47]) ).
cnf(c_0_62,plain,
( ~ f3($true)
| ~ epred9_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_63,plain,
( ~ f2($false)
| ~ epred9_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_64,plain,
( ~ f3($false)
| epred8_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_29,c_0_51]) ).
cnf(c_0_65,plain,
( f3($false)
| epred8_0
| x ),
inference(cn,[status(thm)],[c_0_52]) ).
cnf(c_0_66,plain,
( ~ x
| epred8_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_51]) ).
cnf(c_0_67,plain,
( ~ x
| ~ f2($false)
| epred2_0
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,plain,
( epred1_0
| f2($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_69,plain,
( ~ f3($true)
| ~ x
| epred1_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_70,plain,
( ~ epred1_0
| ~ epred9_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_55]),c_0_25]),c_0_42]) ).
fof(c_0_71,plain,
( epred14_0
<=> ( ( f0($false)
| ( ( f1($false)
| epred13_0 )
& ( f1($true)
| epred12_0 ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| epred13_0 )
& ( ~ f1($true)
| epred12_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_47,c_0_56]),c_0_57]),c_0_56]),c_0_57]) ).
cnf(c_0_72,plain,
( ~ f0($true)
| ~ f0($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
( ~ epred7_0
| f0($true)
| epred6_0 ),
inference(csr,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_74,negated_conjecture,
( ( epred14_0
| epred7_0 )
& ( ~ epred14_0
| ~ epred7_0 ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_75,plain,
( epred13_0
<=> ( ( f1($false)
| ( ( f1($false)
| epred11_0 )
& ( f1($true)
| epred10_0 ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| epred11_0 )
& ( ~ f1($true)
| epred10_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57,c_0_2]),c_0_14]),c_0_2]),c_0_14]) ).
fof(c_0_76,plain,
( epred12_0
<=> ( ( ~ f1($false)
| ( ( f1($false)
| epred11_0 )
& ( f1($true)
| epred10_0 ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| epred11_0 )
& ( ~ f1($true)
| epred10_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_56,c_0_2]),c_0_14]),c_0_2]),c_0_14]) ).
cnf(c_0_77,plain,
( ~ epred9_0
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_43]),c_0_63]) ).
cnf(c_0_78,plain,
( epred8_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
fof(c_0_79,plain,
( epred4_0
<=> ( ( f2($false)
| ( ( f2($false)
| epred2_0 )
& ( f2($true)
| epred1_0 ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| epred2_0 )
& ( ~ f2($true)
| epred1_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35,c_0_7]),c_0_41]),c_0_7]),c_0_41]) ).
cnf(c_0_80,plain,
( ~ f2($true)
| ~ f3($true)
| ~ x
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_81,plain,
( ~ x
| f2($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_82,plain,
( ~ f2($true)
| ~ f2($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_83,plain,
( ~ epred8_0
| ~ f3($true)
| ~ f3($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_84,plain,
( ~ epred1_0
| ~ f2($false)
| f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_85,plain,
( ~ x
| ~ epred1_0
| f2($true)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_24]),c_0_70]) ).
cnf(c_0_86,plain,
( ~ f0($true)
| ~ f0($true)
| ~ epred6_0
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_87,plain,
( epred5_0
<=> ( ( ~ f0($false)
| ( ( f1($false)
| epred4_0 )
& ( f1($true)
| epred3_0 ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| epred4_0 )
& ( ~ f1($true)
| epred3_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_34]),c_0_35]),c_0_34]),c_0_35]) ).
fof(c_0_88,plain,
( ( epred14_0
| ~ f0($true)
| ~ f0($false) )
& ( epred14_0
| ~ f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| ~ f0($true)
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| ~ f0($true)
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| ~ f0($true)
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| f1($false)
| ~ f0($false) )
& ( epred14_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| f1($false)
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| f1($true)
| f1($false)
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ f0($false) )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ f0($false) )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ f0($false) )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| ~ epred13_0 )
& ( ~ epred14_0
| f0($false)
| f1($false)
| epred13_0 )
& ( ~ epred14_0
| f0($false)
| f1($true)
| epred12_0 )
& ( ~ epred14_0
| f0($true)
| ~ f1($false)
| epred13_0 )
& ( ~ epred14_0
| f0($true)
| ~ f1($true)
| epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
cnf(c_0_89,plain,
( ~ epred7_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_60]) ).
cnf(c_0_90,negated_conjecture,
( epred14_0
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_91,plain,
( ( epred13_0
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ f1($true)
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| ~ f1($true)
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| ~ f1($true)
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| f1($false)
| ~ f1($false) )
& ( epred13_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ f1($false) )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( ~ epred13_0
| f1($false)
| f1($false)
| epred11_0 )
& ( ~ epred13_0
| f1($false)
| f1($true)
| epred10_0 )
& ( ~ epred13_0
| f1($true)
| ~ f1($false)
| epred11_0 )
& ( ~ epred13_0
| f1($true)
| ~ f1($true)
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).
fof(c_0_92,plain,
( ( epred12_0
| f1($true)
| f1($false) )
& ( epred12_0
| f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| f1($false)
| f1($false) )
& ( epred12_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| ~ epred11_0
| f1($false) )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| f1($false)
| f1($false) )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| f1($false) )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( ~ epred12_0
| ~ f1($false)
| f1($false)
| epred11_0 )
& ( ~ epred12_0
| ~ f1($false)
| f1($true)
| epred10_0 )
& ( ~ epred12_0
| ~ f1($true)
| ~ f1($false)
| epred11_0 )
& ( ~ epred12_0
| ~ f1($true)
| ~ f1($true)
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_93,plain,
( ~ epred8_0
| ~ f2($false)
| epred11_0
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_94,plain,
( epred8_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_95,plain,
( ( epred4_0
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ f2($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ f2($true)
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| ~ f2($true)
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| ~ f2($true)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| f2($false)
| ~ f2($false) )
& ( epred4_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ f2($false) )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( ~ epred4_0
| f2($false)
| f2($false)
| epred2_0 )
& ( ~ epred4_0
| f2($false)
| f2($true)
| epred1_0 )
& ( ~ epred4_0
| f2($true)
| ~ f2($false)
| epred2_0 )
& ( ~ epred4_0
| f2($true)
| ~ f2($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])]) ).
cnf(c_0_96,plain,
( ~ x
| ~ f3($true)
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_97,plain,
( ~ x
| epred1_0
| f3($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_98,plain,
( ~ x
| ~ f2($false)
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_99,plain,
( ~ epred2_0
| ~ f3($true)
| ~ x
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_100,plain,
( ~ epred2_0
| ~ x
| f2($false)
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_101,plain,
( ~ epred8_0
| ~ f3($true)
| ~ f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_102,plain,
( ~ f3($true)
| ~ epred8_0
| ~ x ),
inference(cn,[status(thm)],[c_0_83]) ).
cnf(c_0_103,plain,
( ~ epred8_0
| ~ f3($false)
| epred10_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_104,plain,
( ~ epred1_0
| f2($true)
| f3($false)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_16]),c_0_85]) ).
cnf(c_0_105,plain,
( ~ epred1_0
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_70,c_0_78]) ).
cnf(c_0_106,plain,
( ~ epred6_0
| ~ f0($false)
| epred7_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_107,plain,
( ~ f0($true)
| ~ epred6_0
| epred7_0 ),
inference(cn,[status(thm)],[c_0_86]) ).
fof(c_0_108,plain,
( ( epred5_0
| f0($true)
| f0($false) )
& ( epred5_0
| f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f0($true)
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| f0($true)
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| f0($true)
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| f1($false)
| f0($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| ~ epred4_0
| f0($false) )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| f1($false)
| f0($false) )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| f0($false) )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( ~ epred5_0
| ~ f0($false)
| f1($false)
| epred4_0 )
& ( ~ epred5_0
| ~ f0($false)
| f1($true)
| epred3_0 )
& ( ~ epred5_0
| ~ f0($true)
| ~ f1($false)
| epred4_0 )
& ( ~ epred5_0
| ~ f0($true)
| ~ f1($true)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
cnf(c_0_109,plain,
( ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_110,plain,
( ~ epred13_0
| ~ f0($false)
| epred14_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_111,plain,
( ~ epred6_0
| f0($false)
| f1($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_112,negated_conjecture,
( epred6_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_113,plain,
( ~ f1($true)
| ~ f1($true)
| ~ epred11_0
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_114,plain,
( ~ epred12_0
| ~ f1($true)
| ~ f1($true)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_115,plain,
( f2($true)
| f3($false)
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_16]),c_0_94]) ).
fof(c_0_116,plain,
( epred3_0
<=> ( ( ~ f2($false)
| ( ( f2($false)
| epred2_0 )
& ( f2($true)
| epred1_0 ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| epred2_0 )
& ( ~ f2($true)
| epred1_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34,c_0_7]),c_0_41]),c_0_7]),c_0_41]) ).
cnf(c_0_117,plain,
( ~ epred4_0
| f2($false)
| f2($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_118,plain,
( ~ f2($false)
| epred2_0
| x
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_119,plain,
( ~ x
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_120,plain,
( ~ x
| ~ epred2_0
| f2($true)
| f2($false) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_121,plain,
( ~ epred8_0
| ~ f3($false)
| ~ x
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_122,plain,
( ~ f3($false)
| ~ f3($true)
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_123,plain,
( ~ epred1_0
| f2($true)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_124,plain,
( ~ epred10_0
| ~ f2($false)
| f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_125,plain,
( ~ x
| ~ epred8_0
| f2($false)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_97]) ).
cnf(c_0_126,plain,
( ~ epred11_0
| ~ f3($true)
| f2($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_127,plain,
( ~ epred11_0
| f2($false)
| f3($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_128,plain,
( ~ f0($false)
| ~ epred6_0
| epred7_0 ),
inference(csr,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_129,plain,
( epred5_0
| f0($true)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_130,plain,
( ~ epred6_0
| ~ epred5_0
| epred7_0 ),
inference(cn,[status(thm)],[c_0_109]) ).
cnf(c_0_131,plain,
( ~ epred6_0
| ~ f1($true)
| f0($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_132,plain,
( ~ epred13_0
| f1($true)
| epred3_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_133,plain,
( ~ epred11_0
| ~ f1($false)
| epred13_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_134,plain,
( ~ f1($true)
| ~ epred11_0
| epred13_0 ),
inference(cn,[status(thm)],[c_0_113]) ).
cnf(c_0_135,plain,
( ~ f0($false)
| epred14_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_136,plain,
( epred5_0
| f1($true)
| f1($false)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_137,plain,
( ~ epred5_0
| ~ f0($false)
| f1($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_138,plain,
( ~ epred12_0
| ~ f1($false)
| f1($true)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_139,plain,
( ~ f1($true)
| ~ epred12_0
| epred10_0 ),
inference(cn,[status(thm)],[c_0_114]) ).
cnf(c_0_140,plain,
( ~ f0($false)
| epred6_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_141,plain,
( ~ epred14_0
| f0($false)
| f1($false)
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_142,plain,
( ~ f2($true)
| ~ epred8_0
| ~ f3($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_143,plain,
( f2($true)
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_115]),c_0_94]) ).
cnf(c_0_144,plain,
( ~ epred4_0
| ~ f0($false)
| epred6_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_145,plain,
( ~ epred14_0
| f0($false)
| f1($true)
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_146,plain,
( ( epred3_0
| f2($true)
| f2($false) )
& ( epred3_0
| f2($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| f2($false)
| f2($false) )
& ( epred3_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| ~ epred2_0
| f2($false) )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f2($false)
| f2($false) )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| f2($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( ~ epred3_0
| ~ f2($false)
| f2($false)
| epred2_0 )
& ( ~ epred3_0
| ~ f2($false)
| f2($true)
| epred1_0 )
& ( ~ epred3_0
| ~ f2($true)
| ~ f2($false)
| epred2_0 )
& ( ~ epred3_0
| ~ f2($true)
| ~ f2($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])]) ).
cnf(c_0_147,plain,
( ~ epred4_0
| ~ f2($false)
| f2($true)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_148,plain,
( ~ epred4_0
| f2($false)
| epred2_0 ),
inference(cn,[status(thm)],[c_0_117]) ).
cnf(c_0_149,plain,
( ~ f2($true)
| ~ f2($true)
| ~ epred2_0
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_150,plain,
( ~ f3($false)
| epred1_0
| f2($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_151,plain,
( f2($true)
| f3($false)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_68]),c_0_119]) ).
cnf(c_0_152,plain,
( ~ x
| ~ epred1_0
| ~ epred2_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_120]),c_0_99]) ).
cnf(c_0_153,plain,
( ~ x
| ~ f3($false)
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_154,plain,
( ~ epred8_0
| epred10_0
| f3($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_155,plain,
( ~ f3($false)
| ~ epred1_0
| x
| epred10_0 ),
inference(spm,[status(thm)],[c_0_17,c_0_123]) ).
cnf(c_0_156,plain,
( ~ epred10_0
| f2($true)
| f3($false)
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_68]) ).
cnf(c_0_157,plain,
( ~ x
| ~ epred10_0
| epred1_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_78]),c_0_38]) ).
cnf(c_0_158,plain,
( ~ epred10_0
| ~ f2($false)
| f3($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_159,plain,
( ~ epred11_0
| f2($true)
| f2($false)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_160,negated_conjecture,
( ~ epred14_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_161,plain,
( ~ epred6_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_107]),c_0_130]) ).
cnf(c_0_162,plain,
( ~ f0($true)
| ~ f1($true)
| ~ epred13_0
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_163,plain,
( ~ epred13_0
| f0($true)
| epred3_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_112]) ).
cnf(c_0_164,plain,
( ~ f1($false)
| ~ epred11_0
| epred13_0 ),
inference(csr,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_165,plain,
( f1($true)
| f1($false)
| epred5_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_166,plain,
( ~ epred5_0
| ~ epred6_0
| f1($true)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_137,c_0_111]) ).
cnf(c_0_167,plain,
( ~ f1($false)
| ~ epred12_0
| epred10_0 ),
inference(csr,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_168,plain,
( ~ epred13_0
| f1($false)
| f1($true)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_169,plain,
( f1($true)
| f1($false)
| epred6_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_112]) ).
cnf(c_0_170,plain,
( ~ f3($false)
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_94]) ).
cnf(c_0_171,plain,
( ~ f2($false)
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_143]) ).
cnf(c_0_172,plain,
( ~ epred14_0
| ~ f1($true)
| f0($true)
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_173,plain,
( ~ epred4_0
| f1($true)
| epred6_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_112]) ).
cnf(c_0_174,plain,
( ~ epred1_0
| epred3_0
| f2($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_175,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_176,plain,
( ~ epred4_0
| f2($true)
| epred2_0 ),
inference(csr,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_177,plain,
( ~ epred2_0
| ~ f2($false)
| epred4_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_178,plain,
( ~ f2($true)
| ~ epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[c_0_149]) ).
cnf(c_0_179,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_180,plain,
( ~ f2($true)
| ~ f3($false)
| epred2_0
| x ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_181,plain,
( f2($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_119]) ).
cnf(c_0_182,plain,
( ~ x
| ~ f3($true)
| ~ epred1_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_32,c_0_152]) ).
cnf(c_0_183,plain,
( ~ x
| ~ epred8_0
| f2($false)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_184,plain,
( ~ f2($false)
| ~ epred1_0
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_82,c_0_123]) ).
cnf(c_0_185,plain,
( ~ epred1_0
| x
| f2($false)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_154]),c_0_105]) ).
cnf(c_0_186,plain,
( ~ epred2_0
| ~ f3($false)
| f2($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_187,plain,
( ~ epred2_0
| f2($false)
| f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_188,plain,
( ~ epred9_0
| x
| f2($true)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_10]) ).
cnf(c_0_189,plain,
( ~ epred9_0
| ~ x
| f3($false)
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_190,plain,
( ~ epred10_0
| ~ f2($true)
| ~ f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_191,plain,
( ~ epred10_0
| f2($true)
| epred1_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_156]),c_0_157]) ).
cnf(c_0_192,plain,
( ~ epred10_0
| ~ f2($true)
| ~ f3($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_193,plain,
( ~ epred10_0
| ~ epred11_0
| f2($true)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_126]) ).
cnf(c_0_194,negated_conjecture,
( ~ epred6_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_195,plain,
( ~ epred13_0
| epred3_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_132]) ).
cnf(c_0_196,plain,
( ~ epred11_0
| epred5_0
| epred13_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_134]) ).
cnf(c_0_197,plain,
( ~ epred5_0
| ~ f0($true)
| ~ f1($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_198,plain,
( ~ epred5_0
| ~ epred6_0
| f0($true)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_166]) ).
cnf(c_0_199,plain,
( ~ epred12_0
| ~ epred13_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_139]) ).
cnf(c_0_200,plain,
( ~ epred11_0
| epred6_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_169]),c_0_134]) ).
cnf(c_0_201,plain,
( epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_154]),c_0_94]),c_0_171]) ).
cnf(c_0_202,plain,
( ~ f0($true)
| ~ f1($true)
| ~ epred4_0
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_203,plain,
( ~ epred4_0
| f0($true)
| epred6_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_112]) ).
cnf(c_0_204,plain,
( ~ epred1_0
| ~ f2($false)
| epred3_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_205,plain,
( ~ epred1_0
| f2($false)
| epred3_0 ),
inference(cn,[status(thm)],[c_0_174]) ).
cnf(c_0_206,plain,
( ~ epred2_0
| ~ epred1_0
| epred3_0 ),
inference(cn,[status(thm)],[c_0_175]) ).
cnf(c_0_207,plain,
( ~ epred4_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_176]),c_0_148]) ).
cnf(c_0_208,plain,
( ~ f2($false)
| ~ epred2_0
| epred4_0 ),
inference(csr,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_209,plain,
( ~ epred2_0
| ~ epred1_0
| epred4_0 ),
inference(cn,[status(thm)],[c_0_179]) ).
cnf(c_0_210,plain,
( ~ f3($false)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_119]) ).
cnf(c_0_211,plain,
( epred1_0
| x
| f3($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_212,plain,
( ~ f2($false)
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_82,c_0_181]) ).
cnf(c_0_213,plain,
( ~ x
| ~ epred1_0
| ~ epred2_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_182,c_0_100]) ).
cnf(c_0_214,plain,
( ~ x
| ~ epred1_0
| ~ epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_183]),c_0_102]) ).
cnf(c_0_215,plain,
( ~ epred1_0
| x
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_216,plain,
( ~ epred3_0
| ~ f2($true)
| ~ f2($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_217,plain,
( ~ epred2_0
| f2($true)
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_120]) ).
cnf(c_0_218,plain,
( ~ epred9_0
| f2($true)
| f3($true)
| epred1_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_68]) ).
cnf(c_0_219,plain,
( ~ epred9_0
| x
| epred1_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_188]),c_0_13]) ).
cnf(c_0_220,plain,
( ~ epred9_0
| f3($true)
| f3($false) ),
inference(csr,[status(thm)],[c_0_189,c_0_13]) ).
cnf(c_0_221,plain,
( ~ epred8_0
| ~ epred9_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_13]),c_0_10]) ).
cnf(c_0_222,plain,
( ~ f3($false)
| ~ epred10_0
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_223,plain,
( ~ epred11_0
| f2($false)
| f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_224,plain,
( ~ f3($true)
| ~ epred10_0
| ~ epred11_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_225,negated_conjecture,
( ~ epred6_0
| ~ epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_226,negated_conjecture,
( ~ epred6_0
| ~ epred11_0
| epred5_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_196]) ).
cnf(c_0_227,plain,
( ~ epred5_0
| ~ epred6_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_166]) ).
cnf(c_0_228,plain,
( ~ epred12_0
| epred6_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).
cnf(c_0_229,plain,
( ~ epred4_0
| epred6_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_173]) ).
cnf(c_0_230,plain,
( ~ f2($true)
| ~ f2($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_231,plain,
( ~ epred1_0
| f2($true)
| epred3_0 ),
inference(csr,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_232,plain,
( ~ epred1_0
| ~ epred4_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_233,plain,
( ~ epred2_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_68]),c_0_178]),c_0_209]) ).
cnf(c_0_234,plain,
( epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_119]),c_0_212]) ).
cnf(c_0_235,plain,
( ~ x
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_213]),c_0_182]) ).
cnf(c_0_236,plain,
( ~ epred1_0
| x
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_185]),c_0_155]) ).
cnf(c_0_237,plain,
( ~ epred1_0
| epred2_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_105]) ).
cnf(c_0_238,plain,
( ~ epred3_0
| ~ f2($false)
| f2($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_239,plain,
( ~ f2($true)
| ~ epred3_0
| epred1_0 ),
inference(cn,[status(thm)],[c_0_216]) ).
cnf(c_0_240,plain,
( ~ epred2_0
| ~ epred10_0
| f2($true)
| f3($true)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_158,c_0_217]) ).
cnf(c_0_241,plain,
( ~ epred2_0
| x
| f2($true)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_65]) ).
cnf(c_0_242,plain,
( ~ epred9_0
| f2($true)
| epred1_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_218]),c_0_219]) ).
cnf(c_0_243,plain,
( ~ epred8_0
| ~ epred9_0
| f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_220]),c_0_221]) ).
cnf(c_0_244,plain,
( ~ epred10_0
| ~ epred11_0
| f2($false)
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_245,plain,
( ~ epred10_0
| ~ epred11_0
| f2($false)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_127]) ).
cnf(c_0_246,negated_conjecture,
( ~ epred6_0
| ~ epred11_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
cnf(c_0_247,plain,
( ~ epred4_0
| epred6_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_248,plain,
( ~ epred1_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_205]),c_0_232]) ).
cnf(c_0_249,plain,
( epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_250,plain,
( ~ epred1_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).
cnf(c_0_251,plain,
( ~ epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_238,c_0_68]),c_0_239]) ).
cnf(c_0_252,plain,
( ~ epred2_0
| ~ epred10_0
| f2($true)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_240]),c_0_241]) ).
cnf(c_0_253,plain,
( ~ f2($false)
| ~ epred9_0
| epred1_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_242]) ).
cnf(c_0_254,plain,
( ~ x
| f2($false)
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_97]) ).
cnf(c_0_255,plain,
( ~ epred8_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_243]),c_0_221]) ).
cnf(c_0_256,plain,
( ~ epred10_0
| ~ epred11_0
| epred1_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_244]),c_0_222]) ).
cnf(c_0_257,plain,
( ~ epred10_0
| ~ epred11_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_245]),c_0_224]) ).
cnf(c_0_258,negated_conjecture,
( ~ epred4_0
| epred3_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_201]) ).
cnf(c_0_259,plain,
( epred3_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_260,plain,
( ~ epred3_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_261,plain,
( ~ f3($true)
| ~ epred2_0
| ~ epred10_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_252]) ).
cnf(c_0_262,plain,
( ~ epred2_0
| ~ epred10_0
| x
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_241]),c_0_39]) ).
cnf(c_0_263,plain,
( ~ epred14_0
| ~ f1($false)
| f0($true)
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_264,plain,
( epred12_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_265,plain,
( ~ f2($false)
| epred1_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_191]),c_0_171]),c_0_253]) ).
cnf(c_0_266,plain,
( ~ epred10_0
| f2($false)
| epred1_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_211]),c_0_254]) ).
cnf(c_0_267,plain,
( ~ epred10_0
| ~ epred11_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).
cnf(c_0_268,negated_conjecture,
epred10_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).
cnf(c_0_269,plain,
( ~ epred2_0
| ~ epred10_0
| f2($false)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_100]),c_0_262]) ).
cnf(c_0_270,plain,
( ~ f0($true)
| ~ f0($false)
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_271,plain,
( ~ epred14_0
| f0($true)
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_172]) ).
cnf(c_0_272,plain,
( ~ epred13_0
| f1($false)
| f1($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_273,plain,
( ~ epred2_0
| ~ epred9_0
| x
| f2($true) ),
inference(spm,[status(thm)],[c_0_186,c_0_10]) ).
cnf(c_0_274,plain,
( epred1_0
| epred9_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_201]) ).
cnf(c_0_275,plain,
( ~ epred11_0
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_268])]) ).
cnf(c_0_276,plain,
( ~ epred2_0
| ~ epred10_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_269]),c_0_261]) ).
cnf(c_0_277,plain,
( ~ f0($false)
| epred7_0
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_90]) ).
cnf(c_0_278,plain,
( ~ epred12_0
| ~ f0($false)
| epred14_0
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_279,plain,
( ~ epred3_0
| epred5_0
| f1($false)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_280,plain,
( ~ epred3_0
| ~ f0($false)
| epred6_0
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_281,plain,
( ~ epred3_0
| ~ f1($false)
| epred5_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_282,plain,
( ~ epred13_0
| f1($false)
| epred11_0 ),
inference(cn,[status(thm)],[c_0_272]) ).
cnf(c_0_283,plain,
( ~ epred13_0
| ~ f1($false)
| f1($true)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_284,plain,
( ~ epred10_0
| ~ f1($false)
| epred12_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_285,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred9_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_273]),c_0_10]) ).
cnf(c_0_286,plain,
( ~ epred8_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_274]),c_0_275]) ).
cnf(c_0_287,plain,
( ~ epred2_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_268])]) ).
cnf(c_0_288,plain,
( ~ epred5_0
| ~ f0($false)
| f1($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_289,plain,
( ~ epred6_0
| f0($false)
| f1($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_290,plain,
( ~ f1($true)
| ~ f1($false)
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_291,plain,
( f1($true)
| epred7_0
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_145]),c_0_90]) ).
cnf(c_0_292,plain,
( ~ epred3_0
| ~ epred12_0
| f1($false)
| epred5_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_293,plain,
( ~ epred3_0
| f1($false)
| epred5_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_280,c_0_279]) ).
cnf(c_0_294,plain,
( ~ epred3_0
| ~ epred13_0
| f0($true)
| epred5_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_295,plain,
( ~ epred13_0
| f1($true)
| epred11_0 ),
inference(csr,[status(thm)],[c_0_283,c_0_282]) ).
cnf(c_0_296,plain,
( ~ epred10_0
| epred12_0
| f1($false)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_297,plain,
( ~ epred10_0
| f1($true)
| epred12_0 ),
inference(csr,[status(thm)],[c_0_284,c_0_264]) ).
cnf(c_0_298,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_285]) ).
cnf(c_0_299,plain,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_234]) ).
cnf(c_0_300,plain,
( ~ epred5_0
| ~ epred14_0
| f1($false)
| epred4_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_288,c_0_141]) ).
cnf(c_0_301,plain,
( ~ epred6_0
| ~ f1($false)
| f0($true)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_302,plain,
( ~ epred12_0
| f1($false)
| epred4_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_289]),c_0_112]) ).
cnf(c_0_303,plain,
( ~ epred12_0
| ~ f1($true)
| ~ f1($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_304,plain,
( ~ f1($false)
| epred7_0
| epred12_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_305,plain,
( ~ f0($true)
| ~ epred12_0
| ~ f1($false)
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_306,plain,
( ~ epred3_0
| ~ epred12_0
| f0($true)
| epred5_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_292]) ).
cnf(c_0_307,plain,
( ~ f0($true)
| ~ epred3_0
| ~ f1($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_308,plain,
( ~ epred3_0
| f0($true)
| epred5_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_293]) ).
cnf(c_0_309,plain,
( ~ epred13_0
| epred5_0
| epred11_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_294]),c_0_295]),c_0_195]) ).
cnf(c_0_310,plain,
( ~ epred10_0
| f1($false)
| epred12_0 ),
inference(cn,[status(thm)],[c_0_296]) ).
cnf(c_0_311,plain,
( ~ f0($true)
| ~ f1($true)
| ~ f1($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_312,plain,
( ~ epred10_0
| ~ epred14_0
| f0($true)
| epred12_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_297]) ).
cnf(c_0_313,plain,
( ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_314,plain,
( ~ f2($false)
| f3($false)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_268])]) ).
cnf(c_0_315,plain,
( ~ epred2_0
| ~ epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_299])]) ).
cnf(c_0_316,plain,
( ~ epred5_0
| ~ f0($true)
| ~ f1($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_317,plain,
( ~ epred5_0
| ~ epred14_0
| f0($true)
| epred4_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_300]) ).
cnf(c_0_318,plain,
( ~ epred12_0
| f0($true)
| epred4_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_112]) ).
cnf(c_0_319,plain,
( ~ epred12_0
| ~ epred13_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_295]),c_0_282]) ).
cnf(c_0_320,plain,
( epred7_0
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_141]),c_0_90]),c_0_304]) ).
cnf(c_0_321,plain,
( ~ epred3_0
| ~ epred12_0
| epred5_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_292]) ).
cnf(c_0_322,plain,
( ~ epred3_0
| epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_293]) ).
cnf(c_0_323,negated_conjecture,
( ~ epred6_0
| ~ epred13_0
| epred5_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_309]) ).
cnf(c_0_324,plain,
( ~ epred10_0
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_297]),c_0_310]) ).
cnf(c_0_325,plain,
( ~ epred10_0
| epred6_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_310]),c_0_297]),c_0_112]) ).
cnf(c_0_326,plain,
( ~ epred11_0
| ~ epred10_0
| epred12_0 ),
inference(cn,[status(thm)],[c_0_313]) ).
cnf(c_0_327,plain,
( ~ epred2_0
| f2($true)
| f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_217]),c_0_315]) ).
cnf(c_0_328,plain,
( ~ x
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_299])]) ).
cnf(c_0_329,plain,
( ~ epred5_0
| ~ epred14_0
| epred4_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_300]) ).
cnf(c_0_330,plain,
( ~ epred12_0
| epred4_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_318]),c_0_302]) ).
cnf(c_0_331,plain,
( ~ epred13_0
| ~ epred14_0
| f0($true)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_295]),c_0_319]) ).
cnf(c_0_332,negated_conjecture,
( ~ epred14_0
| epred12_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_320]) ).
cnf(c_0_333,plain,
( ~ epred5_0
| ~ epred6_0
| f1($false)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_334,negated_conjecture,
( ~ epred3_0
| ~ epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_321]),c_0_322]) ).
cnf(c_0_335,plain,
( ~ epred10_0
| epred5_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325]),c_0_326]) ).
cnf(c_0_336,plain,
( ~ f2($true)
| ~ f3($false)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_268])]) ).
cnf(c_0_337,plain,
( ~ epred2_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_327]),c_0_328]) ).
cnf(c_0_338,plain,
( ~ epred5_0
| ~ epred12_0
| epred4_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_339,plain,
( ~ epred13_0
| epred6_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_331]),c_0_282]),c_0_295]),c_0_112]) ).
cnf(c_0_340,negated_conjecture,
( epred6_0
| epred12_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_112]) ).
cnf(c_0_341,plain,
( ~ epred5_0
| ~ epred6_0
| f0($true)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_301,c_0_333]) ).
cnf(c_0_342,plain,
( ~ epred3_0
| ~ epred10_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_343,plain,
( ~ f3($false)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_315]) ).
cnf(c_0_344,plain,
( ~ epred5_0
| ~ epred12_0
| epred4_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_338]) ).
cnf(c_0_345,negated_conjecture,
( epred6_0
| epred11_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_346,plain,
( ~ epred5_0
| ~ epred6_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_341]),c_0_333]) ).
cnf(c_0_347,plain,
( ~ epred3_0
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_268])]) ).
cnf(c_0_348,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_299])]) ).
cnf(c_0_349,plain,
( ~ f2($false)
| ~ epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_337]) ).
cnf(c_0_350,plain,
( ~ epred2_0
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_187]),c_0_328]) ).
cnf(c_0_351,negated_conjecture,
( ~ epred5_0
| epred4_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]) ).
cnf(c_0_352,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_348])]) ).
cnf(c_0_353,plain,
( ~ epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_354,negated_conjecture,
( epred4_0
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_351,c_0_352])]) ).
cnf(c_0_355,plain,
( ~ epred11_0
| ~ f3($false)
| f2($true)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_356,plain,
( ~ epred11_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_268])]) ).
cnf(c_0_357,plain,
epred11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_207]),c_0_354]) ).
cnf(c_0_358,plain,
( ~ f2($false)
| epred2_0
| f3($true)
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_359,plain,
( ~ epred11_0
| f2($true)
| f2($false)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_223]) ).
cnf(c_0_360,plain,
epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_357])]) ).
cnf(c_0_361,plain,
( ~ epred11_0
| f2($true)
| f3($true)
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_355]),c_0_337]) ).
cnf(c_0_362,plain,
~ epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_360])]) ).
cnf(c_0_363,plain,
( ~ f3($false)
| ~ f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_360])]) ).
cnf(c_0_364,plain,
( f2($true)
| f3($true) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_357])]),c_0_362]) ).
cnf(c_0_365,plain,
( f2($false)
| f2($true) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_357])]),c_0_362]) ).
cnf(c_0_366,plain,
( ~ f3($false)
| f2($true) ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_367,plain,
f2($true),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_365]),c_0_362]),c_0_366]) ).
cnf(c_0_368,plain,
~ epred2_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_350]),c_0_362]),c_0_343]) ).
cnf(c_0_369,plain,
~ f3($false),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_367])]),c_0_362]) ).
cnf(c_0_370,plain,
~ f2($false),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_367])]),c_0_368]) ).
cnf(c_0_371,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_357])]),c_0_362]),c_0_369]),c_0_370]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8.004 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:53:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.50 % Version: 3.5.1
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.50 % Starting sh5l with 300s (1) cores
% 0.14/0.50 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1836823 completed with status 0
% 0.14/0.50 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.50 % No SInE strategy applied
% 0.14/0.50 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.14/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.50 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.14/0.50 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.14/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.14/0.50 % G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 1836831 completed with status 0
% 0.14/0.50 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 0.14/0.50 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.14/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.14/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.50 % No SInE strategy applied
% 0.14/0.50 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.14/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.50 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.14/0.50 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.14/0.50 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.14/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.14/0.50 % Preprocessing time : 0.002 s
% 0.14/0.50 % Presaturation interreduction done
% 0.14/0.50
% 0.14/0.50 % Proof found!
% 0.14/0.50 % SZS status Theorem
% 0.14/0.50 % SZS output start CNFRefutation
% See solution above
% 0.14/0.50 % Parsed axioms : 6
% 0.14/0.50 % Removed by relevancy pruning/SinE : 0
% 0.14/0.50 % Initial clauses : 413
% 0.14/0.50 % Removed in clause preprocessing : 168
% 0.14/0.50 % Initial clauses in saturation : 245
% 0.14/0.50 % Processed clauses : 1740
% 0.14/0.50 % ...of these trivial : 19
% 0.14/0.50 % ...subsumed : 968
% 0.14/0.50 % ...remaining for further processing : 752
% 0.14/0.50 % Other redundant clauses eliminated : 0
% 0.14/0.50 % Clauses deleted for lack of memory : 0
% 0.14/0.50 % Backward-subsumed : 384
% 0.14/0.50 % Backward-rewritten : 210
% 0.14/0.50 % Generated clauses : 3602
% 0.14/0.50 % ...of the previous two non-redundant : 2329
% 0.14/0.50 % ...aggressively subsumed : 0
% 0.14/0.50 % Contextual simplify-reflections : 264
% 0.14/0.50 % Paramodulations : 3596
% 0.14/0.50 % Factorizations : 0
% 0.14/0.50 % NegExts : 0
% 0.14/0.50 % Equation resolutions : 0
% 0.14/0.50 % Disequality decompositions : 0
% 0.14/0.50 % Total rewrite steps : 232
% 0.14/0.50 % ...of those cached : 222
% 0.14/0.50 % Propositional unsat checks : 0
% 0.14/0.50 % Propositional check models : 0
% 0.14/0.50 % Propositional check unsatisfiable : 0
% 0.14/0.50 % Propositional clauses : 0
% 0.14/0.50 % Propositional clauses after purity: 0
% 0.14/0.50 % Propositional unsat core size : 0
% 0.14/0.50 % Propositional preprocessing time : 0.000
% 0.14/0.50 % Propositional encoding time : 0.000
% 0.14/0.50 % Propositional solver time : 0.000
% 0.14/0.50 % Success case prop preproc time : 0.000
% 0.14/0.50 % Success case prop encoding time : 0.000
% 0.14/0.50 % Success case prop solver time : 0.000
% 0.14/0.50 % Current number of processed clauses : 25
% 0.14/0.50 % Positive orientable unit clauses : 10
% 0.14/0.50 % Positive unorientable unit clauses: 0
% 0.14/0.50 % Negative unit clauses : 7
% 0.14/0.50 % Non-unit-clauses : 8
% 0.14/0.50 % Current number of unprocessed clauses: 202
% 0.14/0.50 % ...number of literals in the above : 1234
% 0.14/0.50 % Current number of archived formulas : 0
% 0.14/0.50 % Current number of archived clauses : 727
% 0.14/0.50 % Clause-clause subsumption calls (NU) : 87780
% 0.14/0.50 % Rec. Clause-clause subsumption calls : 26591
% 0.14/0.50 % Non-unit clause-clause subsumptions : 1583
% 0.14/0.50 % Unit Clause-clause subsumption calls : 848
% 0.14/0.50 % Rewrite failures with RHS unbound : 0
% 0.14/0.50 % BW rewrite match attempts : 10
% 0.14/0.50 % BW rewrite match successes : 10
% 0.14/0.50 % Condensation attempts : 0
% 0.14/0.50 % Condensation successes : 0
% 0.14/0.50 % Termbank termtop insertions : 49497
% 0.14/0.50 % Search garbage collected termcells : 2454
% 0.14/0.50
% 0.14/0.50 % -------------------------------------------------
% 0.14/0.50 % User time : 0.067 s
% 0.14/0.50 % System time : 0.002 s
% 0.14/0.50 % Total time : 0.069 s
% 0.14/0.50 % Maximum resident set size: 4148 pages
% 0.14/0.50
% 0.14/0.50 % -------------------------------------------------
% 0.14/0.50 % User time : 0.287 s
% 0.14/0.50 % System time : 0.014 s
% 0.14/0.50 % Total time : 0.301 s
% 0.14/0.50 % Maximum resident set size: 4608 pages
% 0.14/0.50 % E exiting
%------------------------------------------------------------------------------