TSTP Solution File: SYO500_8.003 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYO500_8.003 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:51:50 EDT 2024
% Result : Theorem 0.52s 0.55s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 25
% Syntax : Number of formulae : 309 ( 8 unt; 14 typ; 0 def)
% Number of atoms : 3018 ( 0 equ)
% Maximal formula atoms : 191 ( 10 avg)
% Number of connectives : 4167 (1444 ~;2188 |; 517 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
x: $o ).
tff(decl_23,type,
f0: $o > $o ).
tff(decl_24,type,
f1: $o > $o ).
tff(decl_25,type,
f2: $o > $o ).
tff(decl_26,type,
epred1_0: $o ).
tff(decl_27,type,
epred2_0: $o ).
tff(decl_28,type,
epred3_0: $o ).
tff(decl_29,type,
epred4_0: $o ).
tff(decl_30,type,
epred5_0: $o ).
tff(decl_31,type,
epred6_0: $o ).
tff(decl_32,type,
epred7_0: $o ).
tff(decl_33,type,
epred8_0: $o ).
tff(decl_34,type,
epred9_0: $o ).
tff(decl_35,type,
epred10_0: $o ).
fof(kaminski3,conjecture,
( f0(f1(f1(f1(f2(x)))))
<=> f0(f0(f0(f1(f2(f2(f2(x))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski3) ).
fof(c_0_1,plain,
( epred6_0
<=> ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( ( ~ x
| ~ f2($true)
| f2($true)
| ~ epred6_0 )
& ( x
| ~ f2($false)
| f2($true)
| ~ epred6_0 )
& ( ~ x
| f2($true)
| f2($false)
| ~ epred6_0 )
& ( x
| f2($false)
| f2($false)
| ~ epred6_0 )
& ( ~ x
| x
| ~ x
| x
| epred6_0 )
& ( ~ f2($false)
| x
| ~ x
| x
| epred6_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| x
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| x
| epred6_0 )
& ( ~ f2($false)
| ~ x
| x
| epred6_0 )
& ( ~ x
| x
| f2($false)
| x
| epred6_0 )
& ( ~ f2($false)
| x
| f2($false)
| x
| epred6_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| x
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| x
| epred6_0 )
& ( ~ f2($false)
| f2($false)
| x
| epred6_0 )
& ( ~ x
| x
| ~ x
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| x
| ~ x
| f2($true)
| epred6_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ x
| f2($true)
| epred6_0 )
& ( ~ x
| x
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| x
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ x
| x
| ~ f2($true)
| epred6_0 )
& ( ~ f2($false)
| x
| ~ f2($true)
| epred6_0 )
& ( ~ x
| ~ f2($true)
| ~ f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
fof(c_0_3,plain,
( epred2_0
<=> ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f1($false) ) ) ),
introduced(definition) ).
cnf(c_0_4,plain,
( x
| f2($false)
| f2($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,plain,
( ( ~ x
| ~ f2($true)
| f1($true)
| ~ epred2_0 )
& ( x
| ~ f2($false)
| f1($true)
| ~ epred2_0 )
& ( ~ x
| f2($true)
| f1($false)
| ~ epred2_0 )
& ( x
| f2($false)
| f1($false)
| ~ epred2_0 )
& ( ~ x
| x
| ~ x
| x
| epred2_0 )
& ( ~ f2($false)
| x
| ~ x
| x
| epred2_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| x
| epred2_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| x
| epred2_0 )
& ( ~ f1($false)
| ~ x
| x
| epred2_0 )
& ( ~ x
| x
| f2($false)
| x
| epred2_0 )
& ( ~ f2($false)
| x
| f2($false)
| x
| epred2_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| x
| epred2_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| x
| epred2_0 )
& ( ~ f1($false)
| f2($false)
| x
| epred2_0 )
& ( ~ x
| x
| ~ x
| f2($true)
| epred2_0 )
& ( ~ f2($false)
| x
| ~ x
| f2($true)
| epred2_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| f2($true)
| epred2_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| f2($true)
| epred2_0 )
& ( ~ f1($false)
| ~ x
| f2($true)
| epred2_0 )
& ( ~ x
| x
| f2($false)
| f2($true)
| epred2_0 )
& ( ~ f2($false)
| x
| f2($false)
| f2($true)
| epred2_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| f2($true)
| epred2_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred2_0 )
& ( ~ f1($false)
| f2($false)
| f2($true)
| epred2_0 )
& ( ~ x
| x
| ~ f1($true)
| epred2_0 )
& ( ~ f2($false)
| x
| ~ f1($true)
| epred2_0 )
& ( ~ x
| ~ f2($true)
| ~ f1($true)
| epred2_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ f1($true)
| epred2_0 )
& ( ~ f1($false)
| ~ f1($true)
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_6,plain,
( epred1_0
<=> ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f1($false) ) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( epred4_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f1($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f1($false) ) )
| f1($false) ) )
| f1($false) ) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( epred10_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f0($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f0($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| f0($false) ) )
| f0($false) ) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( epred7_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) ) ),
introduced(definition) ).
fof(c_0_10,plain,
( epred8_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( epred3_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f1($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f1($false) ) )
| f1($false) ) )
| ~ f1($false) ) ) ),
introduced(definition) ).
fof(c_0_12,plain,
( epred9_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f0($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f0($false) ) )
| ~ f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| f0($false) ) )
| ~ f0($false) ) ) ),
introduced(definition) ).
cnf(c_0_13,plain,
( f2($true)
| f2($false)
| ~ x
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,plain,
( x
| f2($false)
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( epred6_0
| ~ x
| ~ f2($true)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,plain,
( f2($true)
| f1($false)
| ~ x
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( x
| f2($false)
| f1($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_18,plain,
( ( ~ x
| ~ f2($true)
| ~ f1($true)
| ~ epred1_0 )
& ( x
| ~ f2($false)
| ~ f1($true)
| ~ epred1_0 )
& ( ~ x
| f2($true)
| ~ f1($false)
| ~ epred1_0 )
& ( x
| f2($false)
| ~ f1($false)
| ~ epred1_0 )
& ( ~ x
| x
| ~ x
| x
| epred1_0 )
& ( ~ f2($false)
| x
| ~ x
| x
| epred1_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| x
| epred1_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| x
| epred1_0 )
& ( f1($false)
| ~ x
| x
| epred1_0 )
& ( ~ x
| x
| f2($false)
| x
| epred1_0 )
& ( ~ f2($false)
| x
| f2($false)
| x
| epred1_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| x
| epred1_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| x
| epred1_0 )
& ( f1($false)
| f2($false)
| x
| epred1_0 )
& ( ~ x
| x
| ~ x
| f2($true)
| epred1_0 )
& ( ~ f2($false)
| x
| ~ x
| f2($true)
| epred1_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| f2($true)
| epred1_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| f2($true)
| epred1_0 )
& ( f1($false)
| ~ x
| f2($true)
| epred1_0 )
& ( ~ x
| x
| f2($false)
| f2($true)
| epred1_0 )
& ( ~ f2($false)
| x
| f2($false)
| f2($true)
| epred1_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| f2($true)
| epred1_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred1_0 )
& ( f1($false)
| f2($false)
| f2($true)
| epred1_0 )
& ( ~ x
| x
| f1($true)
| epred1_0 )
& ( ~ f2($false)
| x
| f1($true)
| epred1_0 )
& ( ~ x
| ~ f2($true)
| f1($true)
| epred1_0 )
& ( ~ f2($false)
| ~ f2($true)
| f1($true)
| epred1_0 )
& ( f1($false)
| f1($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_19,plain,
( epred4_0
<=> ( ( ( ( epred1_0
| ~ f1($true) )
& ( epred2_0
| ~ f1($false) ) )
| f1($true) )
& ( ( ( epred1_0
| f1($true) )
& ( epred2_0
| f1($false) ) )
| f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_6]),c_0_3]),c_0_6]),c_0_3]) ).
fof(c_0_20,plain,
( epred10_0
<=> ( ( ( ( epred7_0
| ~ f0($true) )
& ( epred8_0
| ~ f0($false) ) )
| f0($true) )
& ( ( ( epred7_0
| f0($true) )
& ( epred8_0
| f0($false) ) )
| f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_9]),c_0_10]) ).
fof(c_0_21,negated_conjecture,
~ ( ( ( epred3_0
| f0($true) )
& ( epred4_0
| f0($false) ) )
<=> ( ( epred9_0
| f0($true) )
& ( epred10_0
| f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski3])]),c_0_11]),c_0_7]),c_0_12]),c_0_8]) ).
fof(c_0_22,plain,
( epred3_0
<=> ( ( ( ( epred1_0
| ~ f1($true) )
& ( epred2_0
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( epred1_0
| f1($true) )
& ( epred2_0
| f1($false) ) )
| ~ f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11,c_0_6]),c_0_3]),c_0_6]),c_0_3]) ).
fof(c_0_23,plain,
( epred5_0
<=> ( ( ( ( ~ x
| ~ f2($true) )
& ( x
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f2($true) )
& ( x
| f2($false) ) )
| ~ f2($false) ) ) ),
introduced(definition) ).
cnf(c_0_24,plain,
( f1($true)
| ~ x
| ~ f2($true)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,plain,
( f2($false)
| f2($true)
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_26,plain,
( epred6_0
| ~ x
| ~ f2($true) ),
inference(cn,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
( f2($false)
| f2($true)
| f1($false)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_28,plain,
( f2($true)
| ~ x
| ~ f1($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( x
| f2($false)
| ~ f1($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_30,plain,
( ( epred1_0
| ~ f1($true)
| f1($true)
| ~ epred4_0 )
& ( epred2_0
| ~ f1($false)
| f1($true)
| ~ epred4_0 )
& ( epred1_0
| f1($true)
| f1($false)
| ~ epred4_0 )
& ( epred2_0
| f1($false)
| f1($false)
| ~ epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f1($false)
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ f1($true)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f1($false)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| f1($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f1($false)
| ~ epred1_0
| f1($false)
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ f1($true)
| f1($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f1($false)
| f1($false)
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ epred1_0
| ~ epred2_0
| f1($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f1($true)
| ~ epred2_0
| f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred2_0
| f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ epred2_0
| f1($true)
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| f1($false)
| f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ epred1_0
| f1($false)
| f1($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred4_0 )
& ( ~ f1($false)
| f1($false)
| f1($true)
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ epred1_0
| ~ f1($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f1($true)
| ~ f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ f1($true)
| epred4_0 )
& ( ~ f1($false)
| ~ f1($true)
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_31,plain,
( ( epred7_0
| ~ f0($true)
| f0($true)
| ~ epred10_0 )
& ( epred8_0
| ~ f0($false)
| f0($true)
| ~ epred10_0 )
& ( epred7_0
| f0($true)
| f0($false)
| ~ epred10_0 )
& ( epred8_0
| f0($false)
| f0($false)
| ~ epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ f0($false)
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ f0($true)
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ f0($false)
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| f0($false)
| ~ epred7_0
| epred10_0 )
& ( ~ f0($false)
| ~ epred7_0
| f0($false)
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ f0($true)
| f0($false)
| ~ epred7_0
| epred10_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| ~ epred7_0
| epred10_0 )
& ( ~ f0($false)
| f0($false)
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ epred7_0
| ~ epred8_0
| f0($true)
| epred10_0 )
& ( ~ epred8_0
| ~ f0($true)
| ~ epred8_0
| f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred8_0
| f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ epred8_0
| f0($true)
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| f0($false)
| f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ epred7_0
| f0($false)
| f0($true)
| epred10_0 )
& ( ~ epred8_0
| ~ f0($true)
| f0($false)
| f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| f0($true)
| epred10_0 )
& ( ~ f0($false)
| f0($false)
| f0($true)
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ epred7_0
| ~ f0($true)
| epred10_0 )
& ( ~ epred8_0
| ~ f0($true)
| ~ f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ f0($true)
| epred10_0 )
& ( ~ f0($false)
| ~ f0($true)
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_32,negated_conjecture,
( ( ~ epred10_0
| ~ epred9_0
| ~ epred4_0
| ~ epred3_0 )
& ( ~ f0($false)
| ~ epred9_0
| ~ epred4_0
| ~ epred3_0 )
& ( ~ epred10_0
| ~ f0($true)
| ~ epred4_0
| ~ epred3_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred4_0
| ~ epred3_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ f0($false)
| ~ epred3_0 )
& ( ~ f0($false)
| ~ epred9_0
| ~ f0($false)
| ~ epred3_0 )
& ( ~ epred10_0
| ~ f0($true)
| ~ f0($false)
| ~ epred3_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ f0($false)
| ~ epred3_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred4_0
| ~ f0($true) )
& ( ~ f0($false)
| ~ epred9_0
| ~ epred4_0
| ~ f0($true) )
& ( ~ epred10_0
| ~ f0($true)
| ~ epred4_0
| ~ f0($true) )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred4_0
| ~ f0($true) )
& ( ~ epred10_0
| ~ epred9_0
| ~ f0($false)
| ~ f0($true) )
& ( ~ f0($false)
| ~ epred9_0
| ~ f0($false)
| ~ f0($true) )
& ( ~ epred10_0
| ~ f0($true)
| ~ f0($false)
| ~ f0($true) )
& ( ~ f0($false)
| ~ f0($true)
| ~ f0($false)
| ~ f0($true) )
& ( epred9_0
| f0($true)
| epred3_0
| f0($true) )
& ( epred10_0
| f0($false)
| epred3_0
| f0($true) )
& ( epred9_0
| f0($true)
| epred4_0
| f0($false) )
& ( epred10_0
| f0($false)
| epred4_0
| f0($false) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_33,plain,
( ( epred1_0
| ~ f1($true)
| ~ f1($true)
| ~ epred3_0 )
& ( epred2_0
| ~ f1($false)
| ~ f1($true)
| ~ epred3_0 )
& ( epred1_0
| f1($true)
| ~ f1($false)
| ~ epred3_0 )
& ( epred2_0
| f1($false)
| ~ f1($false)
| ~ epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ f1($false)
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ f1($true)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( f1($false)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f1($false)
| ~ epred1_0
| epred3_0 )
& ( ~ f1($false)
| ~ epred1_0
| f1($false)
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ f1($true)
| f1($false)
| ~ epred1_0
| epred3_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred1_0
| epred3_0 )
& ( f1($false)
| f1($false)
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| f1($true)
| epred3_0 )
& ( ~ f1($false)
| ~ epred1_0
| ~ epred2_0
| f1($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f1($true)
| ~ epred2_0
| f1($true)
| epred3_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred2_0
| f1($true)
| epred3_0 )
& ( f1($false)
| ~ epred2_0
| f1($true)
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f1($false)
| f1($true)
| epred3_0 )
& ( ~ f1($false)
| ~ epred1_0
| f1($false)
| f1($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred3_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred3_0 )
& ( f1($false)
| f1($false)
| f1($true)
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f1($true)
| epred3_0 )
& ( ~ f1($false)
| ~ epred1_0
| f1($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f1($true)
| f1($true)
| epred3_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($true)
| epred3_0 )
& ( f1($false)
| f1($true)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_34,plain,
( epred9_0
<=> ( ( ( ( epred7_0
| ~ f0($true) )
& ( epred8_0
| ~ f0($false) ) )
| ~ f0($true) )
& ( ( ( epred7_0
| f0($true) )
& ( epred8_0
| f0($false) ) )
| ~ f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_9]),c_0_10]),c_0_9]),c_0_10]) ).
fof(c_0_35,plain,
( ( ~ x
| ~ f2($true)
| ~ f2($true)
| ~ epred5_0 )
& ( x
| ~ f2($false)
| ~ f2($true)
| ~ epred5_0 )
& ( ~ x
| f2($true)
| ~ f2($false)
| ~ epred5_0 )
& ( x
| f2($false)
| ~ f2($false)
| ~ epred5_0 )
& ( ~ x
| x
| ~ x
| x
| epred5_0 )
& ( ~ f2($false)
| x
| ~ x
| x
| epred5_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| x
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| x
| epred5_0 )
& ( f2($false)
| ~ x
| x
| epred5_0 )
& ( ~ x
| x
| f2($false)
| x
| epred5_0 )
& ( ~ f2($false)
| x
| f2($false)
| x
| epred5_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| x
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| x
| epred5_0 )
& ( f2($false)
| f2($false)
| x
| epred5_0 )
& ( ~ x
| x
| ~ x
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| x
| ~ x
| f2($true)
| epred5_0 )
& ( ~ x
| ~ f2($true)
| ~ x
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ x
| f2($true)
| epred5_0 )
& ( f2($false)
| ~ x
| f2($true)
| epred5_0 )
& ( ~ x
| x
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| x
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ x
| ~ f2($true)
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred5_0 )
& ( f2($false)
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ x
| x
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| x
| f2($true)
| epred5_0 )
& ( ~ x
| ~ f2($true)
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($true)
| epred5_0 )
& ( f2($false)
| f2($true)
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_36,plain,
( f2($false)
| f1($true)
| ~ epred6_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_14]),c_0_25]) ).
cnf(c_0_37,plain,
( epred6_0
| f2($false)
| f1($false)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_27]) ).
cnf(c_0_38,plain,
( f2($false)
| f2($true)
| ~ epred1_0
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( x
| f1($true)
| ~ f2($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,plain,
( epred2_0
| f1($false)
| f1($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( epred8_0
| f0($false)
| f0($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( epred10_0
| f0($false)
| epred4_0
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( ~ f0($false)
| ~ epred9_0
| ~ f0($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( f1($false)
| f1($false)
| epred3_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_45,plain,
( ( epred7_0
| ~ f0($true)
| ~ f0($true)
| ~ epred9_0 )
& ( epred8_0
| ~ f0($false)
| ~ f0($true)
| ~ epred9_0 )
& ( epred7_0
| f0($true)
| ~ f0($false)
| ~ epred9_0 )
& ( epred8_0
| f0($false)
| ~ f0($false)
| ~ epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ f0($false)
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ f0($true)
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( f0($false)
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| f0($false)
| ~ epred7_0
| epred9_0 )
& ( ~ f0($false)
| ~ epred7_0
| f0($false)
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ f0($true)
| f0($false)
| ~ epred7_0
| epred9_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| ~ epred7_0
| epred9_0 )
& ( f0($false)
| f0($false)
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| f0($true)
| epred9_0 )
& ( ~ f0($false)
| ~ epred7_0
| ~ epred8_0
| f0($true)
| epred9_0 )
& ( ~ epred8_0
| ~ f0($true)
| ~ epred8_0
| f0($true)
| epred9_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred8_0
| f0($true)
| epred9_0 )
& ( f0($false)
| ~ epred8_0
| f0($true)
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| f0($false)
| f0($true)
| epred9_0 )
& ( ~ f0($false)
| ~ epred7_0
| f0($false)
| f0($true)
| epred9_0 )
& ( ~ epred8_0
| ~ f0($true)
| f0($false)
| f0($true)
| epred9_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| f0($true)
| epred9_0 )
& ( f0($false)
| f0($false)
| f0($true)
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| f0($true)
| epred9_0 )
& ( ~ f0($false)
| ~ epred7_0
| f0($true)
| epred9_0 )
& ( ~ epred8_0
| ~ f0($true)
| f0($true)
| epred9_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($true)
| epred9_0 )
& ( f0($false)
| f0($true)
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_46,plain,
( epred7_0
<=> ( ( ( ( epred5_0
| ~ f2($true) )
& ( epred6_0
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( epred5_0
| f2($true) )
& ( epred6_0
| f2($false) ) )
| ~ f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,c_0_23]),c_0_1]),c_0_23]),c_0_1]) ).
cnf(c_0_47,plain,
( f2($false)
| f2($false)
| x
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,plain,
( epred1_0
| ~ f1($true)
| ~ f1($true)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( f2($false)
| f1($false)
| f1($true)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_50,plain,
( epred6_0
| f2($false)
| ~ epred1_0
| ~ f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_29]),c_0_38]) ).
cnf(c_0_51,plain,
( f1($true)
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_24,c_0_39]) ).
cnf(c_0_52,plain,
( epred2_0
| f1($true)
| ~ f1($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_53,plain,
( epred2_0
| f1($false)
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_40]) ).
cnf(c_0_54,plain,
( epred8_0
| f0($false)
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_41]) ).
cnf(c_0_55,negated_conjecture,
( epred4_0
| epred10_0
| f0($false) ),
inference(cn,[status(thm)],[c_0_42]) ).
cnf(c_0_56,negated_conjecture,
( ~ epred3_0
| ~ epred9_0
| ~ f0($false) ),
inference(cn,[status(thm)],[c_0_43]) ).
cnf(c_0_57,plain,
( epred3_0
| f1($false)
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_44]) ).
cnf(c_0_58,plain,
( f0($true)
| epred9_0
| ~ f0($false)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_59,plain,
( f0($false)
| f0($true)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_60,negated_conjecture,
( ~ f0($false)
| ~ f0($true)
| ~ f0($false)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_61,plain,
( ~ x
| ~ f2($true)
| ~ f2($true)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_62,plain,
( ( epred5_0
| ~ f2($true)
| ~ f1($true)
| ~ epred7_0 )
& ( epred6_0
| ~ f2($false)
| ~ f1($true)
| ~ epred7_0 )
& ( epred5_0
| f2($true)
| ~ f1($false)
| ~ epred7_0 )
& ( epred6_0
| f2($false)
| ~ f1($false)
| ~ epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ f2($false)
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ f2($true)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( f1($false)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f2($false)
| ~ epred5_0
| epred7_0 )
& ( ~ f2($false)
| ~ epred5_0
| f2($false)
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ f2($true)
| f2($false)
| ~ epred5_0
| epred7_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred5_0
| epred7_0 )
& ( f1($false)
| f2($false)
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| f2($true)
| epred7_0 )
& ( ~ f2($false)
| ~ epred5_0
| ~ epred6_0
| f2($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f2($true)
| ~ epred6_0
| f2($true)
| epred7_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred6_0
| f2($true)
| epred7_0 )
& ( f1($false)
| ~ epred6_0
| f2($true)
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f2($false)
| f2($true)
| epred7_0 )
& ( ~ f2($false)
| ~ epred5_0
| f2($false)
| f2($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred7_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred7_0 )
& ( f1($false)
| f2($false)
| f2($true)
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f1($true)
| epred7_0 )
& ( ~ f2($false)
| ~ epred5_0
| f1($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f2($true)
| f1($true)
| epred7_0 )
& ( ~ f2($false)
| ~ f2($true)
| f1($true)
| epred7_0 )
& ( f1($false)
| f1($true)
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
cnf(c_0_63,plain,
( x
| epred5_0
| f2($false) ),
inference(cn,[status(thm)],[c_0_47]) ).
cnf(c_0_64,plain,
( f2($false)
| f2($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_65,plain,
( epred7_0
| ~ f0($true)
| ~ f0($true)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_66,plain,
( epred1_0
| f1($true)
| ~ f1($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_67,plain,
( f1($false)
| f1($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_68,plain,
( epred1_0
| ~ epred3_0
| ~ f1($true) ),
inference(cn,[status(thm)],[c_0_48]) ).
cnf(c_0_69,negated_conjecture,
( epred9_0
| f0($true)
| epred3_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_70,plain,
( epred8_0
<=> ( ( ( ( epred5_0
| ~ f2($true) )
& ( epred6_0
| ~ f2($false) ) )
| f1($true) )
& ( ( ( epred5_0
| f2($true) )
& ( epred6_0
| f2($false) ) )
| f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10,c_0_23]),c_0_1]),c_0_23]),c_0_1]) ).
cnf(c_0_71,plain,
( f2($true)
| f1($true)
| f1($false)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_39]),c_0_49]) ).
cnf(c_0_72,plain,
( f2($false)
| f1($true)
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_50]),c_0_49]) ).
cnf(c_0_73,plain,
( f1($true)
| ~ epred2_0
| ~ epred1_0
| ~ f2($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_49]),c_0_51]) ).
cnf(c_0_74,plain,
( epred2_0
| f1($true)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_75,negated_conjecture,
( epred8_0
| epred4_0
| f0($false) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_76,plain,
( f1($false)
| ~ epred9_0
| ~ epred1_0
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_77,plain,
( epred9_0
| f0($true)
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_78,negated_conjecture,
( ~ f0($true)
| ~ f0($false) ),
inference(cn,[status(thm)],[c_0_60]) ).
cnf(c_0_79,plain,
( epred2_0
| ~ x
| ~ f2($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_80,plain,
( ~ x
| ~ epred5_0
| ~ f2($true) ),
inference(cn,[status(thm)],[c_0_61]) ).
cnf(c_0_81,plain,
( f2($false)
| x
| epred2_0
| ~ f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_82,plain,
( f2($false)
| f2($true)
| epred2_0
| ~ f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_83,plain,
( f1($true)
| epred7_0
| ~ epred6_0
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_84,plain,
( epred6_0
| epred5_0
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_63]),c_0_64]) ).
cnf(c_0_85,plain,
( epred7_0
| f0($true)
| ~ f0($false)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_86,plain,
( epred7_0
| ~ epred9_0
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_65]) ).
cnf(c_0_87,plain,
( epred1_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_88,negated_conjecture,
( epred3_0
| epred9_0
| f0($true) ),
inference(cn,[status(thm)],[c_0_69]) ).
fof(c_0_89,plain,
( ( epred5_0
| ~ f2($true)
| f1($true)
| ~ epred8_0 )
& ( epred6_0
| ~ f2($false)
| f1($true)
| ~ epred8_0 )
& ( epred5_0
| f2($true)
| f1($false)
| ~ epred8_0 )
& ( epred6_0
| f2($false)
| f1($false)
| ~ epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ f2($false)
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ f2($true)
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| f2($false)
| ~ epred5_0
| epred8_0 )
& ( ~ f2($false)
| ~ epred5_0
| f2($false)
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ f2($true)
| f2($false)
| ~ epred5_0
| epred8_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| f2($false)
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| f2($true)
| epred8_0 )
& ( ~ f2($false)
| ~ epred5_0
| ~ epred6_0
| f2($true)
| epred8_0 )
& ( ~ epred6_0
| ~ f2($true)
| ~ epred6_0
| f2($true)
| epred8_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred6_0
| f2($true)
| epred8_0 )
& ( ~ f1($false)
| ~ epred6_0
| f2($true)
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| f2($false)
| f2($true)
| epred8_0 )
& ( ~ f2($false)
| ~ epred5_0
| f2($false)
| f2($true)
| epred8_0 )
& ( ~ epred6_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred8_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred8_0 )
& ( ~ f1($false)
| f2($false)
| f2($true)
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ f1($true)
| epred8_0 )
& ( ~ f2($false)
| ~ epred5_0
| ~ f1($true)
| epred8_0 )
& ( ~ epred6_0
| ~ f2($true)
| ~ f1($true)
| epred8_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ f1($true)
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).
cnf(c_0_90,plain,
( f1($true)
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_39]),c_0_71]),c_0_72]),c_0_73]) ).
cnf(c_0_91,plain,
( epred8_0
| epred2_0
| f1($true)
| f0($false) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_92,plain,
( f1($false)
| ~ epred7_0
| ~ epred1_0
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_93,plain,
( f1($false)
| f1($true)
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_94,plain,
( ~ x
| ~ f2($true)
| ~ f1($true)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_95,plain,
( epred2_0
| f2($false)
| ~ epred6_0
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_14]),c_0_25]) ).
cnf(c_0_96,negated_conjecture,
( ~ epred10_0
| ~ f0($true)
| ~ epred4_0
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_97,plain,
( epred10_0
| ~ epred8_0
| ~ f0($true)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_98,plain,
( f1($true)
| epred1_0
| ~ x
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_99,plain,
( f1($true)
| epred1_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_100,plain,
( epred2_0
| f2($false)
| ~ epred5_0
| ~ f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_101,plain,
( epred7_0
| epred5_0
| f2($false)
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_64]) ).
cnf(c_0_102,negated_conjecture,
( epred10_0
| f0($false)
| epred3_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_103,plain,
( epred7_0
| ~ epred9_0
| ~ f0($false) ),
inference(csr,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_104,negated_conjecture,
( epred9_0
| epred1_0
| f0($true) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_105,plain,
( epred8_0
| ~ epred6_0
| ~ f2($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_106,plain,
( epred8_0
| f1($true)
| f0($false)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_107,plain,
( f1($true)
| f1($false)
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_67]),c_0_93]) ).
cnf(c_0_108,plain,
( f2($false)
| ~ epred6_0
| ~ epred1_0
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_14]),c_0_25]) ).
cnf(c_0_109,plain,
( f1($false)
| f2($false)
| epred7_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_110,plain,
( epred5_0
| epred2_0
| f2($false)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_95,c_0_84]) ).
cnf(c_0_111,plain,
( f1($false)
| f2($false)
| x
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_112,plain,
( f1($false)
| f2($false)
| f2($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_113,negated_conjecture,
( ~ epred4_0
| ~ epred10_0
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_96]) ).
cnf(c_0_114,plain,
( epred10_0
| ~ epred8_0
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_97]) ).
cnf(c_0_115,plain,
( f1($true)
| epred4_0
| ~ f1($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_116,plain,
( epred4_0
| ~ f1($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_117,plain,
( f2($true)
| epred2_0
| ~ f1($false)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_118,plain,
( x
| f1($true)
| epred1_0
| ~ f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_119,plain,
( epred2_0
| epred1_0
| f1($true)
| ~ f2($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_81]),c_0_67]),c_0_99]) ).
cnf(c_0_120,plain,
( epred7_0
| epred2_0
| f2($false)
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_93]) ).
cnf(c_0_121,plain,
( epred7_0
| f0($true)
| f0($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_122,negated_conjecture,
( epred10_0
| epred1_0
| f0($true)
| f0($false) ),
inference(spm,[status(thm)],[c_0_87,c_0_102]) ).
cnf(c_0_123,plain,
( epred7_0
| epred1_0
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_78]) ).
cnf(c_0_124,plain,
( f2($false)
| f1($false)
| ~ epred5_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_17]),c_0_27]) ).
cnf(c_0_125,plain,
( epred8_0
| epred5_0
| f2($false)
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_84]),c_0_64]) ).
cnf(c_0_126,plain,
( epred8_0
| f1($false)
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_67]),c_0_107]) ).
cnf(c_0_127,plain,
( f2($false)
| f1($false)
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_37]),c_0_49]) ).
cnf(c_0_128,plain,
( epred7_0
| epred2_0
| f2($false)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_93]) ).
cnf(c_0_129,plain,
( epred1_0
| f2($false)
| f1($false)
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_111]),c_0_112]) ).
cnf(c_0_130,plain,
( ~ epred8_0
| ~ epred4_0
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_131,plain,
( epred4_0
| ~ epred2_0
| ~ f1($false) ),
inference(csr,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_132,plain,
( epred1_0
| f2($false)
| f1($true)
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_14]),c_0_25]) ).
cnf(c_0_133,plain,
( epred6_0
| epred2_0
| f2($false)
| ~ f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_81]),c_0_82]) ).
cnf(c_0_134,plain,
( epred2_0
| epred1_0
| f1($true)
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_67]),c_0_119]) ).
cnf(c_0_135,plain,
( epred6_0
| f2($false)
| f1($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_136,plain,
( f2($false)
| ~ epred1_0
| ~ f1($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_108,c_0_50]) ).
cnf(c_0_137,plain,
( epred7_0
| f2($false)
| f1($true)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_120]) ).
cnf(c_0_138,plain,
( epred7_0
| epred1_0
| f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_139,plain,
( epred8_0
| f2($false)
| f1($false)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_140,plain,
( epred8_0
| epred2_0
| f1($false)
| f0($false) ),
inference(spm,[status(thm)],[c_0_53,c_0_75]) ).
cnf(c_0_141,plain,
( epred7_0
| f2($false)
| f1($false)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_142,plain,
( epred8_0
| epred1_0
| f2($false)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_125]),c_0_126]) ).
cnf(c_0_143,plain,
( ~ epred8_0
| ~ epred2_0
| ~ f1($false)
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_144,plain,
( epred2_0
| epred1_0
| f1($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_67]),c_0_134]) ).
cnf(c_0_145,plain,
( f2($false)
| ~ epred8_0
| ~ epred1_0
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_135]),c_0_136]) ).
cnf(c_0_146,plain,
( epred7_0
| f2($false)
| f1($true)
| f0($true) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_147,plain,
( f2($false)
| epred8_0
| ~ f1($false)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_148,plain,
( epred8_0
| f2($false)
| f1($false)
| f0($false) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_149,plain,
( epred8_0
| epred7_0
| f2($false)
| f1($false) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_150,plain,
( x
| ~ f2($false)
| ~ f2($true)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_151,plain,
( epred6_0
| f2($false)
| ~ f1($false)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_152,plain,
( epred1_0
| f1($true)
| ~ epred8_0
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_67]) ).
cnf(c_0_153,plain,
( epred7_0
| f2($false)
| f0($true)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_138]),c_0_146]) ).
cnf(c_0_154,plain,
( epred8_0
| epred7_0
| f2($false)
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_101]),c_0_126]) ).
cnf(c_0_155,plain,
( f2($true)
| f2($false)
| f1($false)
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_135]) ).
cnf(c_0_156,plain,
( epred8_0
| f2($false)
| f1($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_142]),c_0_148]),c_0_149]) ).
cnf(c_0_157,plain,
( f2($true)
| ~ x
| ~ f2($false)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_158,plain,
( x
| f2($true)
| ~ f2($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_159,plain,
( ~ epred5_0
| ~ f2($true)
| ~ f2($false) ),
inference(csr,[status(thm)],[c_0_150,c_0_80]) ).
cnf(c_0_160,plain,
( epred5_0
| f1($true)
| ~ f2($true)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_161,plain,
( f2($false)
| ~ epred6_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_14]),c_0_25]) ).
cnf(c_0_162,plain,
( f2($true)
| f2($false)
| ~ epred7_0
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_25,c_0_151]) ).
cnf(c_0_163,plain,
( epred7_0
| f2($false)
| f1($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_152]),c_0_153]),c_0_154]) ).
cnf(c_0_164,plain,
( f2($false)
| f2($true)
| f1($false) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_165,plain,
( ~ epred5_0
| ~ f2($false)
| ~ x ),
inference(csr,[status(thm)],[c_0_157,c_0_80]) ).
cnf(c_0_166,plain,
( f2($true)
| x
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_158,c_0_14]) ).
cnf(c_0_167,plain,
( f1($true)
| ~ epred8_0
| ~ f2($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_168,plain,
( f2($false)
| f1($false)
| ~ epred8_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_135]) ).
cnf(c_0_169,plain,
( f2($false)
| f2($true)
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_170,plain,
( x
| f2($true)
| epred5_0
| ~ f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_171,plain,
( f2($true)
| ~ epred6_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_25]) ).
cnf(c_0_172,plain,
( epred6_0
| f1($true)
| ~ f2($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_173,plain,
( f1($false)
| f1($true)
| ~ f2($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_167,c_0_126]) ).
cnf(c_0_174,plain,
( f2($false)
| f1($true)
| f1($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_160]),c_0_169]),c_0_126]) ).
cnf(c_0_175,plain,
( f2($true)
| f2($false)
| ~ epred8_0
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_82]),c_0_164]) ).
cnf(c_0_176,plain,
( f2($false)
| f2($true)
| epred8_0
| ~ f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_177,plain,
( epred5_0
| f2($true)
| x ),
inference(csr,[status(thm)],[c_0_170,c_0_63]) ).
cnf(c_0_178,plain,
( f1($true)
| ~ epred8_0
| ~ epred5_0
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_167]) ).
cnf(c_0_179,plain,
( epred5_0
| f2($true)
| f1($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_180,plain,
( f1($true)
| f1($false)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_181,plain,
( epred6_0
| epred1_0
| f2($false)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_111]),c_0_112]) ).
cnf(c_0_182,plain,
( f2($false)
| f2($true)
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_164]) ).
cnf(c_0_183,plain,
( epred8_0
| ~ f2($false)
| ~ epred5_0
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_184,plain,
( epred5_0
| f2($true)
| f1($false)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_177]) ).
cnf(c_0_185,plain,
( f1($false)
| f1($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_174]),c_0_126]),c_0_180]) ).
cnf(c_0_186,plain,
( f1($false)
| f2($true)
| epred1_0
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_187,plain,
( x
| epred2_0
| ~ f2($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_188,plain,
( epred2_0
| epred1_0
| f2($false)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_181]),c_0_144]) ).
cnf(c_0_189,plain,
( epred4_0
| ~ epred2_0
| ~ f1($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_190,plain,
( epred7_0
| f2($true)
| f2($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_138]),c_0_164]),c_0_182]) ).
cnf(c_0_191,plain,
( epred8_0
| f2($true)
| f1($false)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_156]) ).
cnf(c_0_192,plain,
( epred2_0
| epred1_0
| f2($true)
| f1($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_144]),c_0_188]) ).
cnf(c_0_193,plain,
( epred5_0
| f2($false)
| f1($true)
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_84]) ).
cnf(c_0_194,plain,
( epred4_0
| ~ epred2_0
| ~ f1($true) ),
inference(cn,[status(thm)],[c_0_189]) ).
cnf(c_0_195,plain,
( epred2_0
| ~ f1($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_196,plain,
( x
| ~ f2($false)
| ~ f1($true)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_197,plain,
( f2($false)
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_190]),c_0_164]) ).
cnf(c_0_198,plain,
( epred2_0
| ~ epred5_0
| ~ f2($false)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_165,c_0_187]) ).
cnf(c_0_199,plain,
( f2($true)
| f1($false)
| ~ epred6_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_166]) ).
cnf(c_0_200,plain,
( epred6_0
| ~ f2($false)
| ~ f1($true)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_201,plain,
( epred8_0
| epred1_0
| f2($true)
| f1($false) ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_202,plain,
( epred8_0
| f2($true)
| f1($false)
| f0($false) ),
inference(spm,[status(thm)],[c_0_191,c_0_140]) ).
cnf(c_0_203,plain,
( epred8_0
| f2($false)
| f1($true)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_193]),c_0_49]) ).
cnf(c_0_204,plain,
( ~ epred8_0
| ~ epred2_0
| ~ f1($true)
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_130,c_0_194]) ).
cnf(c_0_205,plain,
( epred2_0
| f2($false)
| ~ epred8_0
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_135]),c_0_195]) ).
cnf(c_0_206,plain,
( epred8_0
| ~ f1($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_207,plain,
( f2($true)
| epred6_0
| ~ f2($false)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_208,plain,
( f2($true)
| f1($false)
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_196]),c_0_71]),c_0_197]) ).
cnf(c_0_209,plain,
( epred2_0
| f2($true)
| f1($false)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_179]),c_0_185]),c_0_197]) ).
cnf(c_0_210,plain,
( f2($true)
| f1($false)
| ~ epred7_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_185]),c_0_197]) ).
cnf(c_0_211,plain,
( epred8_0
| f2($true)
| f1($false)
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_201]),c_0_202]) ).
cnf(c_0_212,plain,
( epred8_0
| f2($false)
| f1($true)
| f0($false) ),
inference(spm,[status(thm)],[c_0_203,c_0_91]) ).
cnf(c_0_213,plain,
( epred2_0
| ~ f2($false)
| ~ f2($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_214,plain,
( f2($false)
| ~ epred8_0
| ~ f1($true)
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_215,plain,
( ~ f1($true)
| ~ f1($false)
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_116]),c_0_206]) ).
cnf(c_0_216,plain,
( epred6_0
| ~ f2($false)
| ~ x ),
inference(csr,[status(thm)],[c_0_207,c_0_26]) ).
cnf(c_0_217,plain,
( f2($true)
| f1($false)
| ~ epred8_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_218,plain,
( f2($true)
| f1($false)
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_209]),c_0_211]) ).
cnf(c_0_219,plain,
( epred8_0
| f1($true)
| f0($false)
| ~ f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_91]),c_0_212]) ).
cnf(c_0_220,plain,
( ~ epred8_0
| ~ f2($true)
| ~ f2($false)
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_213]),c_0_167]) ).
cnf(c_0_221,plain,
( epred8_0
| ~ f2($false)
| ~ f2($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_222,plain,
( f2($false)
| ~ f1($true)
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_156]),c_0_215]) ).
cnf(c_0_223,plain,
( f1($false)
| f2($true)
| epred7_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_224,plain,
( epred6_0
| epred2_0
| ~ f2($false)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_216,c_0_187]) ).
cnf(c_0_225,plain,
( f2($true)
| f1($false)
| f0($true)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_138]),c_0_218]) ).
cnf(c_0_226,plain,
( epred2_0
| f2($true)
| ~ epred6_0
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_117,c_0_166]) ).
cnf(c_0_227,plain,
( f1($true)
| f0($false)
| ~ f2($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_167,c_0_219]) ).
cnf(c_0_228,plain,
( ~ f2($true)
| ~ f1($true)
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]) ).
cnf(c_0_229,plain,
( epred2_0
| f2($true)
| f1($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_185]),c_0_128]),c_0_218]) ).
cnf(c_0_230,plain,
( f2($true)
| f1($false)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_209]),c_0_225]),c_0_185]) ).
cnf(c_0_231,plain,
( epred2_0
| f2($true)
| f1($true)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_172]),c_0_185]),c_0_197]) ).
cnf(c_0_232,plain,
( epred5_0
| ~ f2($true)
| ~ f1($true)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_233,plain,
( ~ epred1_0
| ~ f2($true)
| ~ f2($false)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_94,c_0_196]) ).
cnf(c_0_234,plain,
( f1($true)
| epred7_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_235,negated_conjecture,
( ~ f2($true)
| ~ f2($false)
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_227]),c_0_228]) ).
cnf(c_0_236,plain,
( f2($false)
| ~ epred7_0
| ~ epred5_0
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_161,c_0_151]) ).
cnf(c_0_237,plain,
( epred7_0
| f2($false)
| f1($false)
| f0($true) ),
inference(spm,[status(thm)],[c_0_141,c_0_138]) ).
cnf(c_0_238,plain,
( f1($true)
| epred3_0
| ~ f1($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_239,plain,
( f1($false)
| f1($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_240,plain,
( f2($true)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_229]),c_0_230]) ).
cnf(c_0_241,plain,
( f2($true)
| f1($true)
| ~ epred8_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_231]) ).
cnf(c_0_242,plain,
( ~ epred7_0
| ~ f2($true)
| ~ f2($false)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_159,c_0_232]) ).
cnf(c_0_243,plain,
( epred7_0
| ~ f2($true)
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_138]),c_0_234]),c_0_235]) ).
cnf(c_0_244,plain,
( f2($false)
| ~ epred7_0
| ~ f1($false)
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_232]),c_0_162]) ).
cnf(c_0_245,plain,
( epred7_0
| f2($false)
| f0($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_138]),c_0_237]),c_0_163]) ).
cnf(c_0_246,plain,
( epred3_0
| f1($true)
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_247,plain,
( epred1_0
| f2($false)
| f1($false)
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_232]),c_0_185]),c_0_240]) ).
cnf(c_0_248,plain,
( f2($true)
| epred8_0
| ~ f1($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_249,plain,
( epred6_0
| f1($true)
| ~ epred2_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_216,c_0_39]) ).
cnf(c_0_250,plain,
( f1($true)
| epred7_0
| ~ f2($false)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_251,plain,
( epred5_0
| epred2_0
| f2($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_117,c_0_177]) ).
cnf(c_0_252,plain,
( f2($true)
| f1($true)
| ~ epred8_0
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_241,c_0_152]) ).
cnf(c_0_253,plain,
( ~ f2($true)
| ~ f2($false)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_254,plain,
( f2($false)
| ~ f1($false)
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_222]) ).
cnf(c_0_255,negated_conjecture,
( f1($true)
| ~ epred9_0
| ~ epred1_0
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_56,c_0_246]) ).
cnf(c_0_256,plain,
( f2($false)
| f1($false)
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_247]),c_0_185]),c_0_156]) ).
cnf(c_0_257,plain,
( epred8_0
| f2($true)
| f1($true)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_185]),c_0_197]) ).
cnf(c_0_258,plain,
( epred7_0
| epred2_0
| f2($true)
| f1($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_185]),c_0_163]) ).
cnf(c_0_259,plain,
( epred7_0
| f2($true)
| f1($true)
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_138]),c_0_252]) ).
cnf(c_0_260,plain,
( ~ epred7_0
| ~ epred5_0
| ~ f2($false)
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_200]),c_0_159]) ).
cnf(c_0_261,plain,
( epred5_0
| f2($true)
| ~ f1($false)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_262,plain,
( ~ f2($true)
| ~ f1($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_263,plain,
( f1($true)
| ~ epred7_0
| ~ epred1_0
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_77]),c_0_78]) ).
cnf(c_0_264,plain,
( f2($false)
| f1($false)
| f0($true) ),
inference(spm,[status(thm)],[c_0_256,c_0_245]) ).
cnf(c_0_265,plain,
( f1($true)
| ~ epred5_0
| ~ epred2_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_165,c_0_39]) ).
cnf(c_0_266,plain,
( epred7_0
| f2($true)
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]) ).
cnf(c_0_267,plain,
( epred8_0
| epred1_0
| f2($true)
| f1($true) ),
inference(spm,[status(thm)],[c_0_257,c_0_144]) ).
cnf(c_0_268,plain,
( epred8_0
| f1($true)
| f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_91]),c_0_219]) ).
cnf(c_0_269,plain,
( f2($true)
| ~ epred1_0
| ~ f1($false)
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_196]),c_0_136]) ).
cnf(c_0_270,plain,
( ~ epred7_0
| ~ f1($true)
| ~ f1($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_197]),c_0_262]) ).
cnf(c_0_271,plain,
( ~ f2($true)
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_99]),c_0_227]),c_0_243]),c_0_253]) ).
cnf(c_0_272,plain,
( f2($false)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_264]),c_0_185]) ).
cnf(c_0_273,plain,
( f2($true)
| f1($true)
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_261]),c_0_185]),c_0_197]),c_0_266]) ).
cnf(c_0_274,plain,
( epred8_0
| f2($true)
| f1($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_267]),c_0_268]),c_0_266]) ).
cnf(c_0_275,plain,
( ~ f1($false)
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_138]),c_0_215]),c_0_262]),c_0_270]) ).
cnf(c_0_276,plain,
f1($false),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_240]) ).
cnf(c_0_277,plain,
( f2($true)
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_231]),c_0_274]) ).
cnf(c_0_278,plain,
~ f1($true),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_276])]) ).
cnf(c_0_279,plain,
f2($true),
inference(sr,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_280,plain,
( epred1_0
| f2($false)
| f1($true)
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_151]),c_0_67]) ).
cnf(c_0_281,plain,
~ f2($false),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_279])]) ).
cnf(c_0_282,plain,
( epred7_0
| f2($false)
| f1($false)
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_141,c_0_123]) ).
cnf(c_0_283,plain,
( f2($false)
| f1($true)
| ~ epred7_0
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_263,c_0_280]) ).
cnf(c_0_284,plain,
( ~ epred7_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_276])]),c_0_281]) ).
cnf(c_0_285,plain,
( epred5_0
| ~ epred8_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_279])]),c_0_278]) ).
cnf(c_0_286,plain,
( epred7_0
| f2($false)
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_123]),c_0_282]),c_0_163]) ).
cnf(c_0_287,plain,
( f2($false)
| f1($true)
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_123]),c_0_283]) ).
cnf(c_0_288,plain,
( ~ epred8_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_289,plain,
epred7_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_163,c_0_278]),c_0_281]) ).
cnf(c_0_290,plain,
( f2($false)
| ~ f1($false)
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_286]),c_0_287]) ).
cnf(c_0_291,plain,
~ epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289])]) ).
cnf(c_0_292,plain,
( f2($false)
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_247]),c_0_286]),c_0_290]) ).
cnf(c_0_293,plain,
f0($false),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_268,c_0_278]),c_0_291]) ).
cnf(c_0_294,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293])]),c_0_281]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO500_8.003 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:33:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.55 # Version: 3.1.0
% 0.52/0.55 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.52/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.55 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.52/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.52/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.52/0.55 # Starting sh5l with 300s (1) cores
% 0.52/0.55 # new_bool_3 with pid 16309 completed with status 0
% 0.52/0.55 # Result found by new_bool_3
% 0.52/0.55 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.52/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.55 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.52/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.52/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.55 # Search class: FGHNF-FSMM00-SFFFFFNN
% 0.52/0.55 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.55 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 0.52/0.55 # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 16312 completed with status 0
% 0.52/0.55 # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.52/0.55 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.52/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.55 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.52/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.52/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.55 # Search class: FGHNF-FSMM00-SFFFFFNN
% 0.52/0.55 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.52/0.55 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 0.52/0.55 # Preprocessing time : 0.002 s
% 0.52/0.55
% 0.52/0.55 # Proof found!
% 0.52/0.55 # SZS status Theorem
% 0.52/0.55 # SZS output start CNFRefutation
% See solution above
% 0.52/0.55 # Parsed axioms : 5
% 0.52/0.55 # Removed by relevancy pruning/SinE : 4
% 0.52/0.55 # Initial clauses : 310
% 0.52/0.55 # Removed in clause preprocessing : 132
% 0.52/0.55 # Initial clauses in saturation : 178
% 0.52/0.55 # Processed clauses : 838
% 0.52/0.55 # ...of these trivial : 4
% 0.52/0.55 # ...subsumed : 502
% 0.52/0.55 # ...remaining for further processing : 332
% 0.52/0.55 # Other redundant clauses eliminated : 0
% 0.52/0.55 # Clauses deleted for lack of memory : 0
% 0.52/0.55 # Backward-subsumed : 226
% 0.52/0.55 # Backward-rewritten : 75
% 0.52/0.55 # Generated clauses : 1548
% 0.52/0.55 # ...of the previous two non-redundant : 943
% 0.52/0.55 # ...aggressively subsumed : 0
% 0.52/0.55 # Contextual simplify-reflections : 166
% 0.52/0.55 # Paramodulations : 1533
% 0.52/0.55 # Factorizations : 0
% 0.52/0.55 # NegExts : 0
% 0.52/0.55 # Equation resolutions : 0
% 0.52/0.55 # Disequality decompositions : 0
% 0.52/0.55 # Total rewrite steps : 76
% 0.52/0.55 # ...of those cached : 68
% 0.52/0.55 # Propositional unsat checks : 0
% 0.52/0.55 # Propositional check models : 0
% 0.52/0.55 # Propositional check unsatisfiable : 0
% 0.52/0.55 # Propositional clauses : 0
% 0.52/0.55 # Propositional clauses after purity: 0
% 0.52/0.55 # Propositional unsat core size : 0
% 0.52/0.55 # Propositional preprocessing time : 0.000
% 0.52/0.55 # Propositional encoding time : 0.000
% 0.52/0.55 # Propositional solver time : 0.000
% 0.52/0.55 # Success case prop preproc time : 0.000
% 0.52/0.55 # Success case prop encoding time : 0.000
% 0.52/0.55 # Success case prop solver time : 0.000
% 0.52/0.55 # Current number of processed clauses : 16
% 0.52/0.55 # Positive orientable unit clauses : 8
% 0.52/0.55 # Positive unorientable unit clauses: 0
% 0.52/0.55 # Negative unit clauses : 5
% 0.52/0.55 # Non-unit-clauses : 3
% 0.52/0.55 # Current number of unprocessed clauses: 34
% 0.52/0.55 # ...number of literals in the above : 95
% 0.52/0.55 # Current number of archived formulas : 0
% 0.52/0.55 # Current number of archived clauses : 316
% 0.52/0.55 # Clause-clause subsumption calls (NU) : 15160
% 0.52/0.55 # Rec. Clause-clause subsumption calls : 2874
% 0.52/0.55 # Non-unit clause-clause subsumptions : 838
% 0.52/0.55 # Unit Clause-clause subsumption calls : 171
% 0.52/0.55 # Rewrite failures with RHS unbound : 0
% 0.52/0.55 # BW rewrite match attempts : 7
% 0.52/0.55 # BW rewrite match successes : 7
% 0.52/0.55 # Condensation attempts : 838
% 0.52/0.55 # Condensation successes : 0
% 0.52/0.55 # Termbank termtop insertions : 26674
% 0.52/0.55 # Search garbage collected termcells : 1742
% 0.52/0.55
% 0.52/0.55 # -------------------------------------------------
% 0.52/0.55 # User time : 0.049 s
% 0.52/0.55 # System time : 0.006 s
% 0.52/0.55 # Total time : 0.054 s
% 0.52/0.55 # Maximum resident set size: 2228 pages
% 0.52/0.55
% 0.52/0.55 # -------------------------------------------------
% 0.52/0.55 # User time : 0.050 s
% 0.52/0.55 # System time : 0.008 s
% 0.52/0.55 # Total time : 0.058 s
% 0.52/0.55 # Maximum resident set size: 1688 pages
% 0.52/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------