%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO500_8.003 : 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 : n018.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 03:46:57 PM UTC 2026
% Result : Theorem 0.10s 0.47s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 260 ( 11 unt; 0 def)
% Number of atoms : 2857 ( 0 equ)
% Maximal formula atoms : 191 ( 10 avg)
% Number of connectives : 3993 (1396 ~;2061 |; 517 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% 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 ?)
% 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,
epred1_0: $o ).
tff(decl_28,type,
epred2_0: $o ).
tff(decl_29,type,
epred3_0: $o ).
tff(decl_30,type,
epred4_0: $o ).
tff(decl_31,type,
epred5_0: $o ).
tff(decl_32,type,
epred6_0: $o ).
tff(decl_33,type,
epred7_0: $o ).
tff(decl_34,type,
epred8_0: $o ).
tff(decl_35,type,
epred9_0: $o ).
tff(decl_36,type,
epred10_0: $o ).
fof(kaminski3,conjecture,
( f0(f1(f1(f1(f2(x)))))
<=> f0(f0(f0(f1(f2(f2(f2(x))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski3) ).
fof(c_0_1,plain,
( epred5_0
<=> ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred7_0
<=> ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred6_0
<=> ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
( ( epred5_0
| f2($true)
| f2($false) )
& ( epred5_0
| f2($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred5_0
| f2($true)
| ~ f2($true)
| ~ x )
& ( epred5_0
| f2($true)
| x
| ~ f2($false) )
& ( epred5_0
| f2($true)
| x
| ~ x )
& ( epred5_0
| f2($true)
| f2($false)
| f2($false) )
& ( epred5_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred5_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred5_0
| f2($true)
| f2($false)
| x
| ~ f2($false) )
& ( epred5_0
| f2($true)
| f2($false)
| x
| ~ x )
& ( epred5_0
| f2($true)
| ~ x
| f2($false) )
& ( epred5_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred5_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ x )
& ( epred5_0
| f2($true)
| ~ x
| x
| ~ f2($false) )
& ( epred5_0
| f2($true)
| ~ x
| x
| ~ x )
& ( epred5_0
| x
| f2($false)
| f2($false) )
& ( epred5_0
| x
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred5_0
| x
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred5_0
| x
| f2($false)
| x
| ~ f2($false) )
& ( epred5_0
| x
| f2($false)
| x
| ~ x )
& ( epred5_0
| x
| ~ x
| f2($false) )
& ( epred5_0
| x
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred5_0
| x
| ~ x
| ~ f2($true)
| ~ x )
& ( epred5_0
| x
| ~ x
| x
| ~ f2($false) )
& ( epred5_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred5_0
| ~ f2($false)
| f2($false)
| x )
& ( ~ epred5_0
| ~ f2($false)
| f2($true)
| ~ x )
& ( ~ epred5_0
| ~ f2($true)
| ~ f2($false)
| x )
& ( ~ epred5_0
| ~ f2($true)
| ~ f2($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
fof(c_0_5,plain,
( epred2_0
<=> ( ( f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( epred7_0
<=> ( ( ~ f1($false)
| ( ( f2($false)
| epred6_0 )
& ( f2($true)
| epred5_0 ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| epred6_0 )
& ( ~ f2($true)
| epred5_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,c_0_1]),c_0_3]),c_0_1]),c_0_3]) ).
cnf(c_0_7,plain,
( epred5_0
| x
| f2($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,plain,
( ( epred2_0
| ~ f1($true)
| ~ f1($false) )
& ( epred2_0
| ~ f1($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred2_0
| ~ f1($true)
| ~ f2($true)
| ~ x )
& ( epred2_0
| ~ f1($true)
| x
| ~ f2($false) )
& ( epred2_0
| ~ f1($true)
| x
| ~ x )
& ( epred2_0
| f2($true)
| f2($false)
| ~ f1($false) )
& ( epred2_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred2_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred2_0
| f2($true)
| f2($false)
| x
| ~ f2($false) )
& ( epred2_0
| f2($true)
| f2($false)
| x
| ~ x )
& ( epred2_0
| f2($true)
| ~ x
| ~ f1($false) )
& ( epred2_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred2_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ x )
& ( epred2_0
| f2($true)
| ~ x
| x
| ~ f2($false) )
& ( epred2_0
| f2($true)
| ~ x
| x
| ~ x )
& ( epred2_0
| x
| f2($false)
| ~ f1($false) )
& ( epred2_0
| x
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred2_0
| x
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred2_0
| x
| f2($false)
| x
| ~ f2($false) )
& ( epred2_0
| x
| f2($false)
| x
| ~ x )
& ( epred2_0
| x
| ~ x
| ~ f1($false) )
& ( epred2_0
| x
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred2_0
| x
| ~ x
| ~ f2($true)
| ~ x )
& ( epred2_0
| x
| ~ x
| x
| ~ f2($false) )
& ( epred2_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred2_0
| f1($false)
| f2($false)
| x )
& ( ~ epred2_0
| f1($false)
| f2($true)
| ~ x )
& ( ~ epred2_0
| f1($true)
| ~ f2($false)
| x )
& ( ~ epred2_0
| f1($true)
| ~ f2($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
( ( epred7_0
| f1($true)
| f1($false) )
& ( epred7_0
| f1($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred7_0
| f1($true)
| ~ f2($true)
| ~ epred6_0 )
& ( epred7_0
| f1($true)
| ~ epred5_0
| ~ f2($false) )
& ( epred7_0
| f1($true)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| f2($true)
| f2($false)
| f1($false) )
& ( epred7_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred7_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ epred6_0 )
& ( epred7_0
| f2($true)
| f2($false)
| ~ epred5_0
| ~ f2($false) )
& ( epred7_0
| f2($true)
| f2($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| f2($true)
| ~ epred6_0
| f1($false) )
& ( epred7_0
| f2($true)
| ~ epred6_0
| ~ f2($true)
| ~ f2($false) )
& ( epred7_0
| f2($true)
| ~ epred6_0
| ~ f2($true)
| ~ epred6_0 )
& ( epred7_0
| f2($true)
| ~ epred6_0
| ~ epred5_0
| ~ f2($false) )
& ( epred7_0
| f2($true)
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| f2($false)
| f1($false) )
& ( epred7_0
| ~ epred5_0
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred7_0
| ~ epred5_0
| f2($false)
| ~ f2($true)
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| f2($false)
| ~ epred5_0
| ~ f2($false) )
& ( epred7_0
| ~ epred5_0
| f2($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| f1($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f2($true)
| ~ f2($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f2($true)
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ f2($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( ~ epred7_0
| ~ f1($false)
| f2($false)
| epred6_0 )
& ( ~ epred7_0
| ~ f1($false)
| f2($true)
| epred5_0 )
& ( ~ epred7_0
| ~ f1($true)
| ~ f2($false)
| epred6_0 )
& ( ~ epred7_0
| ~ f1($true)
| ~ f2($true)
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_10,plain,
( ~ f2($false)
| epred5_0
| f2($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( f2($false)
| epred5_0
| x ),
inference(cn,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ epred5_0
| ~ f2($true)
| ~ f2($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_13,plain,
( ( epred6_0
| ~ f2($true)
| ~ f2($false) )
& ( epred6_0
| ~ f2($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred6_0
| ~ f2($true)
| ~ f2($true)
| ~ x )
& ( epred6_0
| ~ f2($true)
| x
| ~ f2($false) )
& ( epred6_0
| ~ f2($true)
| x
| ~ x )
& ( epred6_0
| f2($true)
| f2($false)
| ~ f2($false) )
& ( epred6_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred6_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred6_0
| f2($true)
| f2($false)
| x
| ~ f2($false) )
& ( epred6_0
| f2($true)
| f2($false)
| x
| ~ x )
& ( epred6_0
| f2($true)
| ~ x
| ~ f2($false) )
& ( epred6_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred6_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ x )
& ( epred6_0
| f2($true)
| ~ x
| x
| ~ f2($false) )
& ( epred6_0
| f2($true)
| ~ x
| x
| ~ x )
& ( epred6_0
| x
| f2($false)
| ~ f2($false) )
& ( epred6_0
| x
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred6_0
| x
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred6_0
| x
| f2($false)
| x
| ~ f2($false) )
& ( epred6_0
| x
| f2($false)
| x
| ~ x )
& ( epred6_0
| x
| ~ x
| ~ f2($false) )
& ( epred6_0
| x
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred6_0
| x
| ~ x
| ~ f2($true)
| ~ x )
& ( epred6_0
| x
| ~ x
| x
| ~ f2($false) )
& ( epred6_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred6_0
| f2($false)
| f2($false)
| x )
& ( ~ epred6_0
| f2($false)
| f2($true)
| ~ x )
& ( ~ epred6_0
| f2($true)
| ~ f2($false)
| x )
& ( ~ epred6_0
| f2($true)
| ~ f2($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_14,plain,
( ~ f1($true)
| ~ f2($false)
| epred2_0
| x ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( ~ f2($true)
| ~ f2($false)
| epred7_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( x
| f2($true)
| epred5_0 ),
inference(csr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
( ~ epred5_0
| ~ f2($false)
| ~ x
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( ~ f2($true)
| ~ epred5_0
| ~ x ),
inference(cn,[status(thm)],[c_0_12]) ).
fof(c_0_19,negated_conjecture,
~ ( f0(f1(f1(f1(f2(x)))))
<=> f0(f0(f0(f1(f2(f2(f2(x))))))) ),
inference(assume_negation,[status(cth)],[kaminski3]) ).
fof(c_0_20,plain,
( epred3_0
<=> ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_21,plain,
( epred4_0
<=> ( ( f1($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_22,plain,
( epred9_0
<=> ( ( ~ f0($false)
| ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( epred10_0
<=> ( ( f0($false)
| ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_24,plain,
( epred1_0
<=> ( ( ~ f1($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_25,plain,
( epred8_0
<=> ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| x )
& ( f2($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| x )
& ( ~ f2($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_26,plain,
( ~ f2($true)
| ~ f2($true)
| ~ x
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,plain,
( ~ f1($true)
| x
| epred2_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_28,plain,
( x
| f1($true)
| epred5_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_16]) ).
cnf(c_0_29,plain,
( ~ x
| ~ f1($false)
| epred2_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( ~ x
| ~ f2($false)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_31,plain,
( ~ epred5_0
| epred7_0
| f2($false)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_32,negated_conjecture,
~ ( ( ( f0($false)
| epred4_0 )
& ( f0($true)
| epred3_0 ) )
<=> ( ( f0($false)
| epred10_0 )
& ( f0($true)
| epred9_0 ) ) ),
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)],[c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).
fof(c_0_33,plain,
( epred3_0
<=> ( ( ~ f1($false)
| ( ( f1($false)
| epred2_0 )
& ( f1($true)
| epred1_0 ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| epred2_0 )
& ( ~ f1($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_20,c_0_24]),c_0_5]),c_0_24]),c_0_5]) ).
fof(c_0_34,plain,
( epred10_0
<=> ( ( f0($false)
| ( ( f0($false)
| epred8_0 )
& ( f0($true)
| epred7_0 ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| epred8_0 )
& ( ~ f0($true)
| epred7_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_2]),c_0_25]),c_0_2]),c_0_25]) ).
cnf(c_0_35,plain,
( ~ epred2_0
| ~ f2($false)
| f1($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,plain,
( ~ epred2_0
| f1($false)
| f2($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,plain,
( ~ x
| ~ f2($false)
| epred6_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,plain,
( ~ f2($true)
| ~ x
| epred6_0 ),
inference(cn,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( epred7_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,plain,
( x
| epred2_0
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_41,plain,
( ~ x
| ~ f1($false)
| ~ epred5_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_42,plain,
( ~ x
| ~ epred5_0
| f1($false)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_43,plain,
( epred9_0
<=> ( ( ~ f0($false)
| ( ( f0($false)
| epred8_0 )
& ( f0($true)
| epred7_0 ) ) )
& ( ~ f0($true)
| ( ( ~ f0($false)
| epred8_0 )
& ( ~ f0($true)
| epred7_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22,c_0_2]),c_0_25]),c_0_2]),c_0_25]) ).
fof(c_0_44,negated_conjecture,
( ( f0($false)
| epred4_0
| f0($false)
| epred10_0 )
& ( f0($false)
| epred4_0
| f0($true)
| epred9_0 )
& ( f0($true)
| epred3_0
| f0($false)
| epred10_0 )
& ( f0($true)
| epred3_0
| f0($true)
| epred9_0 )
& ( ~ f0($true)
| ~ f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( ~ f0($true)
| ~ f0($false)
| ~ f0($true)
| ~ epred10_0 )
& ( ~ f0($true)
| ~ f0($false)
| ~ epred9_0
| ~ f0($false) )
& ( ~ f0($true)
| ~ f0($false)
| ~ epred9_0
| ~ epred10_0 )
& ( ~ f0($true)
| ~ epred4_0
| ~ f0($true)
| ~ f0($false) )
& ( ~ f0($true)
| ~ epred4_0
| ~ f0($true)
| ~ epred10_0 )
& ( ~ f0($true)
| ~ epred4_0
| ~ epred9_0
| ~ f0($false) )
& ( ~ f0($true)
| ~ epred4_0
| ~ epred9_0
| ~ epred10_0 )
& ( ~ epred3_0
| ~ f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( ~ epred3_0
| ~ f0($false)
| ~ f0($true)
| ~ epred10_0 )
& ( ~ epred3_0
| ~ f0($false)
| ~ epred9_0
| ~ f0($false) )
& ( ~ epred3_0
| ~ f0($false)
| ~ epred9_0
| ~ epred10_0 )
& ( ~ epred3_0
| ~ epred4_0
| ~ f0($true)
| ~ f0($false) )
& ( ~ epred3_0
| ~ epred4_0
| ~ f0($true)
| ~ epred10_0 )
& ( ~ epred3_0
| ~ epred4_0
| ~ epred9_0
| ~ f0($false) )
& ( ~ epred3_0
| ~ epred4_0
| ~ epred9_0
| ~ epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_45,plain,
( ( epred3_0
| f1($true)
| f1($false) )
& ( epred3_0
| f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred3_0
| f1($true)
| ~ f1($true)
| ~ epred2_0 )
& ( epred3_0
| f1($true)
| ~ epred1_0
| ~ f1($false) )
& ( epred3_0
| f1($true)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f1($true)
| f1($false)
| f1($false) )
& ( epred3_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred3_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred2_0 )
& ( epred3_0
| f1($true)
| f1($false)
| ~ epred1_0
| ~ f1($false) )
& ( epred3_0
| f1($true)
| f1($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f1($true)
| ~ epred2_0
| f1($false) )
& ( epred3_0
| f1($true)
| ~ epred2_0
| ~ f1($true)
| ~ f1($false) )
& ( epred3_0
| f1($true)
| ~ epred2_0
| ~ f1($true)
| ~ epred2_0 )
& ( epred3_0
| f1($true)
| ~ epred2_0
| ~ epred1_0
| ~ f1($false) )
& ( epred3_0
| f1($true)
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f1($false)
| f1($false) )
& ( epred3_0
| ~ epred1_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred3_0
| ~ epred1_0
| f1($false)
| ~ f1($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f1($false)
| ~ epred1_0
| ~ f1($false) )
& ( epred3_0
| ~ epred1_0
| f1($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| f1($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f1($true)
| ~ f1($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f1($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ f1($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( ~ epred3_0
| ~ f1($false)
| f1($false)
| epred2_0 )
& ( ~ epred3_0
| ~ f1($false)
| f1($true)
| epred1_0 )
& ( ~ epred3_0
| ~ f1($true)
| ~ f1($false)
| epred2_0 )
& ( ~ epred3_0
| ~ f1($true)
| ~ f1($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_46,plain,
( ( epred10_0
| ~ f0($true)
| ~ f0($false) )
& ( epred10_0
| ~ f0($true)
| ~ f0($true)
| ~ f0($false) )
& ( epred10_0
| ~ f0($true)
| ~ f0($true)
| ~ epred8_0 )
& ( epred10_0
| ~ f0($true)
| ~ epred7_0
| ~ f0($false) )
& ( epred10_0
| ~ f0($true)
| ~ epred7_0
| ~ epred8_0 )
& ( epred10_0
| f0($true)
| f0($false)
| ~ f0($false) )
& ( epred10_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred10_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ epred8_0 )
& ( epred10_0
| f0($true)
| f0($false)
| ~ epred7_0
| ~ f0($false) )
& ( epred10_0
| f0($true)
| f0($false)
| ~ epred7_0
| ~ epred8_0 )
& ( epred10_0
| f0($true)
| ~ epred8_0
| ~ f0($false) )
& ( epred10_0
| f0($true)
| ~ epred8_0
| ~ f0($true)
| ~ f0($false) )
& ( epred10_0
| f0($true)
| ~ epred8_0
| ~ f0($true)
| ~ epred8_0 )
& ( epred10_0
| f0($true)
| ~ epred8_0
| ~ epred7_0
| ~ f0($false) )
& ( epred10_0
| f0($true)
| ~ epred8_0
| ~ epred7_0
| ~ epred8_0 )
& ( epred10_0
| ~ epred7_0
| f0($false)
| ~ f0($false) )
& ( epred10_0
| ~ epred7_0
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred10_0
| ~ epred7_0
| f0($false)
| ~ f0($true)
| ~ epred8_0 )
& ( epred10_0
| ~ epred7_0
| f0($false)
| ~ epred7_0
| ~ f0($false) )
& ( epred10_0
| ~ epred7_0
| f0($false)
| ~ epred7_0
| ~ epred8_0 )
& ( epred10_0
| ~ epred7_0
| ~ epred8_0
| ~ f0($false) )
& ( epred10_0
| ~ epred7_0
| ~ epred8_0
| ~ f0($true)
| ~ f0($false) )
& ( epred10_0
| ~ epred7_0
| ~ epred8_0
| ~ f0($true)
| ~ epred8_0 )
& ( epred10_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| ~ f0($false) )
& ( epred10_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| ~ epred8_0 )
& ( ~ epred10_0
| f0($false)
| f0($false)
| epred8_0 )
& ( ~ epred10_0
| f0($false)
| f0($true)
| epred7_0 )
& ( ~ epred10_0
| f0($true)
| ~ f0($false)
| epred8_0 )
& ( ~ epred10_0
| f0($true)
| ~ f0($true)
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_47,plain,
( epred4_0
<=> ( ( f1($false)
| ( ( f1($false)
| epred2_0 )
& ( f1($true)
| epred1_0 ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| epred2_0 )
& ( ~ f1($true)
| epred1_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_24]),c_0_5]),c_0_24]),c_0_5]) ).
fof(c_0_48,plain,
( ( epred1_0
| f1($true)
| f1($false) )
& ( epred1_0
| f1($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred1_0
| f1($true)
| ~ f2($true)
| ~ x )
& ( epred1_0
| f1($true)
| x
| ~ f2($false) )
& ( epred1_0
| f1($true)
| x
| ~ x )
& ( epred1_0
| f2($true)
| f2($false)
| f1($false) )
& ( epred1_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred1_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred1_0
| f2($true)
| f2($false)
| x
| ~ f2($false) )
& ( epred1_0
| f2($true)
| f2($false)
| x
| ~ x )
& ( epred1_0
| f2($true)
| ~ x
| f1($false) )
& ( epred1_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred1_0
| f2($true)
| ~ x
| ~ f2($true)
| ~ x )
& ( epred1_0
| f2($true)
| ~ x
| x
| ~ f2($false) )
& ( epred1_0
| f2($true)
| ~ x
| x
| ~ x )
& ( epred1_0
| x
| f2($false)
| f1($false) )
& ( epred1_0
| x
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred1_0
| x
| f2($false)
| ~ f2($true)
| ~ x )
& ( epred1_0
| x
| f2($false)
| x
| ~ f2($false) )
& ( epred1_0
| x
| f2($false)
| x
| ~ x )
& ( epred1_0
| x
| ~ x
| f1($false) )
& ( epred1_0
| x
| ~ x
| ~ f2($true)
| ~ f2($false) )
& ( epred1_0
| x
| ~ x
| ~ f2($true)
| ~ x )
& ( epred1_0
| x
| ~ x
| x
| ~ f2($false) )
& ( epred1_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred1_0
| ~ f1($false)
| f2($false)
| x )
& ( ~ epred1_0
| ~ f1($false)
| f2($true)
| ~ x )
& ( ~ epred1_0
| ~ f1($true)
| ~ f2($false)
| x )
& ( ~ epred1_0
| ~ f1($true)
| ~ f2($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_49,plain,
( epred8_0
<=> ( ( f1($false)
| ( ( f2($false)
| epred6_0 )
& ( f2($true)
| epred5_0 ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| epred6_0 )
& ( ~ f2($true)
| epred5_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25,c_0_1]),c_0_3]),c_0_1]),c_0_3]) ).
cnf(c_0_50,plain,
( ~ epred2_0
| ~ f2($true)
| ~ x
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_51,plain,
( ~ epred2_0
| ~ x
| f1($false)
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_52,plain,
( ~ epred2_0
| x
| f1($true)
| f1($false) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_53,plain,
( ~ x
| ~ f2($false)
| epred6_0 ),
inference(csr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_54,plain,
( epred7_0
| f2($true)
| f2($false)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_55,plain,
( ~ f1($true)
| ~ f1($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_56,plain,
( x
| f1($false)
| epred2_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_31]),c_0_39]),c_0_40]) ).
cnf(c_0_57,plain,
( ~ epred5_0
| ~ f2($false)
| epred7_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_58,plain,
( ~ f1($false)
| epred2_0
| x
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_59,plain,
( ~ x
| ~ epred5_0
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_60,plain,
( ~ epred6_0
| f2($false)
| f2($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_61,plain,
( ( epred9_0
| f0($true)
| f0($false) )
& ( epred9_0
| f0($true)
| ~ f0($true)
| ~ f0($false) )
& ( epred9_0
| f0($true)
| ~ f0($true)
| ~ epred8_0 )
& ( epred9_0
| f0($true)
| ~ epred7_0
| ~ f0($false) )
& ( epred9_0
| f0($true)
| ~ epred7_0
| ~ epred8_0 )
& ( epred9_0
| f0($true)
| f0($false)
| f0($false) )
& ( epred9_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred9_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ epred8_0 )
& ( epred9_0
| f0($true)
| f0($false)
| ~ epred7_0
| ~ f0($false) )
& ( epred9_0
| f0($true)
| f0($false)
| ~ epred7_0
| ~ epred8_0 )
& ( epred9_0
| f0($true)
| ~ epred8_0
| f0($false) )
& ( epred9_0
| f0($true)
| ~ epred8_0
| ~ f0($true)
| ~ f0($false) )
& ( epred9_0
| f0($true)
| ~ epred8_0
| ~ f0($true)
| ~ epred8_0 )
& ( epred9_0
| f0($true)
| ~ epred8_0
| ~ epred7_0
| ~ f0($false) )
& ( epred9_0
| f0($true)
| ~ epred8_0
| ~ epred7_0
| ~ epred8_0 )
& ( epred9_0
| ~ epred7_0
| f0($false)
| f0($false) )
& ( epred9_0
| ~ epred7_0
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred9_0
| ~ epred7_0
| f0($false)
| ~ f0($true)
| ~ epred8_0 )
& ( epred9_0
| ~ epred7_0
| f0($false)
| ~ epred7_0
| ~ f0($false) )
& ( epred9_0
| ~ epred7_0
| f0($false)
| ~ epred7_0
| ~ epred8_0 )
& ( epred9_0
| ~ epred7_0
| ~ epred8_0
| f0($false) )
& ( epred9_0
| ~ epred7_0
| ~ epred8_0
| ~ f0($true)
| ~ f0($false) )
& ( epred9_0
| ~ epred7_0
| ~ epred8_0
| ~ f0($true)
| ~ epred8_0 )
& ( epred9_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| ~ f0($false) )
& ( epred9_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| ~ epred8_0 )
& ( ~ epred9_0
| ~ f0($false)
| f0($false)
| epred8_0 )
& ( ~ epred9_0
| ~ f0($false)
| f0($true)
| epred7_0 )
& ( ~ epred9_0
| ~ f0($true)
| ~ f0($false)
| epred8_0 )
& ( ~ epred9_0
| ~ f0($true)
| ~ f0($true)
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
cnf(c_0_62,negated_conjecture,
( ~ f0($true)
| ~ f0($false)
| ~ f0($true)
| ~ f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_63,plain,
( ~ epred3_0
| ~ f1($true)
| ~ f1($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_64,negated_conjecture,
( ~ f0($true)
| ~ epred4_0
| ~ f0($true)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_65,negated_conjecture,
( f0($true)
| epred3_0
| f0($true)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_66,plain,
( ~ f0($true)
| ~ f0($true)
| ~ epred8_0
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_67,plain,
( ( epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| ~ f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| ~ f1($true)
| ~ f1($true)
| ~ epred2_0 )
& ( epred4_0
| ~ f1($true)
| ~ epred1_0
| ~ f1($false) )
& ( epred4_0
| ~ f1($true)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| f1($true)
| f1($false)
| ~ f1($false) )
& ( epred4_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred2_0 )
& ( epred4_0
| f1($true)
| f1($false)
| ~ epred1_0
| ~ f1($false) )
& ( epred4_0
| f1($true)
| f1($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| f1($true)
| ~ epred2_0
| ~ f1($false) )
& ( epred4_0
| f1($true)
| ~ epred2_0
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| f1($true)
| ~ epred2_0
| ~ f1($true)
| ~ epred2_0 )
& ( epred4_0
| f1($true)
| ~ epred2_0
| ~ epred1_0
| ~ f1($false) )
& ( epred4_0
| f1($true)
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| f1($false)
| ~ f1($false) )
& ( epred4_0
| ~ epred1_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| ~ epred1_0
| f1($false)
| ~ f1($true)
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| f1($false)
| ~ epred1_0
| ~ f1($false) )
& ( epred4_0
| ~ epred1_0
| f1($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f1($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f1($true)
| ~ f1($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f1($true)
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ f1($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( ~ epred4_0
| f1($false)
| f1($false)
| epred2_0 )
& ( ~ epred4_0
| f1($false)
| f1($true)
| epred1_0 )
& ( ~ epred4_0
| f1($true)
| ~ f1($false)
| epred2_0 )
& ( ~ epred4_0
| f1($true)
| ~ f1($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_68,plain,
( ~ f2($false)
| epred1_0
| f1($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_69,plain,
( epred1_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_70,plain,
( ( epred8_0
| ~ f1($true)
| ~ f1($false) )
& ( epred8_0
| ~ f1($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred8_0
| ~ f1($true)
| ~ f2($true)
| ~ epred6_0 )
& ( epred8_0
| ~ f1($true)
| ~ epred5_0
| ~ f2($false) )
& ( epred8_0
| ~ f1($true)
| ~ epred5_0
| ~ epred6_0 )
& ( epred8_0
| f2($true)
| f2($false)
| ~ f1($false) )
& ( epred8_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred8_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ epred6_0 )
& ( epred8_0
| f2($true)
| f2($false)
| ~ epred5_0
| ~ f2($false) )
& ( epred8_0
| f2($true)
| f2($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred8_0
| f2($true)
| ~ epred6_0
| ~ f1($false) )
& ( epred8_0
| f2($true)
| ~ epred6_0
| ~ f2($true)
| ~ f2($false) )
& ( epred8_0
| f2($true)
| ~ epred6_0
| ~ f2($true)
| ~ epred6_0 )
& ( epred8_0
| f2($true)
| ~ epred6_0
| ~ epred5_0
| ~ f2($false) )
& ( epred8_0
| f2($true)
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( epred8_0
| ~ epred5_0
| f2($false)
| ~ f1($false) )
& ( epred8_0
| ~ epred5_0
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred8_0
| ~ epred5_0
| f2($false)
| ~ f2($true)
| ~ epred6_0 )
& ( epred8_0
| ~ epred5_0
| f2($false)
| ~ epred5_0
| ~ f2($false) )
& ( epred8_0
| ~ epred5_0
| f2($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred8_0
| ~ epred5_0
| ~ epred6_0
| ~ f1($false) )
& ( epred8_0
| ~ epred5_0
| ~ epred6_0
| ~ f2($true)
| ~ f2($false) )
& ( epred8_0
| ~ epred5_0
| ~ epred6_0
| ~ f2($true)
| ~ epred6_0 )
& ( epred8_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ f2($false) )
& ( epred8_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( ~ epred8_0
| f1($false)
| f2($false)
| epred6_0 )
& ( ~ epred8_0
| f1($false)
| f2($true)
| epred5_0 )
& ( ~ epred8_0
| f1($true)
| ~ f2($false)
| epred6_0 )
& ( ~ epred8_0
| f1($true)
| ~ f2($true)
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
cnf(c_0_71,plain,
( ~ f2($true)
| ~ f2($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_72,plain,
( ~ epred1_0
| ~ f1($true)
| ~ f2($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73,plain,
( ~ epred1_0
| ~ f1($false)
| f2($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_74,plain,
( ~ epred2_0
| f1($true)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_75,plain,
( ~ x
| ~ f1($false)
| epred2_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_76,plain,
( ~ x
| f1($false)
| epred6_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_38]) ).
cnf(c_0_77,plain,
( ~ f1($true)
| x
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_78,plain,
( ~ epred5_0
| f1($true)
| epred2_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_39]),c_0_59]) ).
cnf(c_0_79,plain,
( ~ epred6_0
| ~ f2($false)
| f2($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_80,plain,
( ~ epred6_0
| f2($false)
| x ),
inference(cn,[status(thm)],[c_0_60]) ).
cnf(c_0_81,plain,
( ~ epred9_0
| ~ f0($true)
| ~ f0($true)
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_82,plain,
( ~ epred8_0
| ~ f0($false)
| epred10_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_83,negated_conjecture,
( ~ f0($false)
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_62]) ).
cnf(c_0_84,plain,
( ~ epred3_0
| ~ f1($false)
| f1($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_85,plain,
( ~ f1($true)
| ~ epred3_0
| epred1_0 ),
inference(cn,[status(thm)],[c_0_63]) ).
cnf(c_0_86,negated_conjecture,
( ~ f0($true)
| ~ epred10_0
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_64]) ).
cnf(c_0_87,negated_conjecture,
( f0($true)
| epred9_0
| epred3_0 ),
inference(cn,[status(thm)],[c_0_65]) ).
cnf(c_0_88,plain,
( ~ f0($true)
| ~ epred8_0
| epred10_0 ),
inference(cn,[status(thm)],[c_0_66]) ).
cnf(c_0_89,plain,
( ~ epred2_0
| ~ f1($false)
| epred4_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_90,plain,
( ~ f1($true)
| ~ f1($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_91,plain,
( ~ f1($true)
| ~ f1($true)
| ~ epred2_0
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_92,plain,
( ~ f2($true)
| ~ x
| epred1_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_93,plain,
( x
| f1($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_58]),c_0_69]) ).
cnf(c_0_94,plain,
( ~ f1($true)
| ~ f2($true)
| ~ epred6_0
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_95,plain,
( ~ epred6_0
| epred7_0
| f2($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_96,plain,
( ~ f2($true)
| ~ epred6_0
| epred7_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_97,plain,
( ~ epred6_0
| ~ f1($false)
| epred8_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_98,plain,
( ~ f2($true)
| epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_11]),c_0_38]) ).
cnf(c_0_99,plain,
( ~ epred1_0
| ~ f1($true)
| ~ f2($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_100,plain,
( ~ epred1_0
| ~ f1($false)
| ~ x
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_101,plain,
( ~ f1($false)
| ~ f1($true)
| ~ epred1_0
| x ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_102,plain,
( ~ epred1_0
| ~ epred2_0
| x
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_73]),c_0_74]) ).
cnf(c_0_103,plain,
( ~ x
| epred2_0
| epred6_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_104,plain,
( x
| epred2_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_40]) ).
cnf(c_0_105,plain,
( ~ epred6_0
| x
| f2($true) ),
inference(csr,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_106,plain,
( ~ epred9_0
| ~ f0($false)
| f0($true)
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_107,plain,
( ~ f0($true)
| ~ epred9_0
| epred7_0 ),
inference(cn,[status(thm)],[c_0_81]) ).
cnf(c_0_108,plain,
( ~ f0($false)
| ~ epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_109,negated_conjecture,
( f0($true)
| epred3_0
| f0($false)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_110,plain,
( ~ epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_84,c_0_69]),c_0_85]) ).
cnf(c_0_111,negated_conjecture,
( ~ epred4_0
| ~ epred10_0
| epred3_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_112,negated_conjecture,
( ~ epred8_0
| epred3_0
| epred9_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_113,plain,
( ~ f1($false)
| ~ epred2_0
| epred4_0 ),
inference(csr,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_114,plain,
( epred3_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_115,plain,
( ~ f1($true)
| ~ epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[c_0_91]) ).
cnf(c_0_116,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_117,plain,
( epred1_0
| x
| f2($false)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_118,plain,
( f1($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_29]),c_0_93]),c_0_69]) ).
cnf(c_0_119,plain,
( ~ f1($true)
| ~ f1($false)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_120,plain,
( ~ epred6_0
| f1($false)
| epred7_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_39]) ).
cnf(c_0_121,plain,
( ~ epred6_0
| f1($true)
| epred7_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_39]) ).
cnf(c_0_122,plain,
( epred5_0
| f2($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_123,plain,
( x
| epred5_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_98,c_0_16]) ).
cnf(c_0_124,plain,
( ~ f1($false)
| ~ f1($true)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_125,plain,
( ~ epred1_0
| ~ epred2_0
| x
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_36]),c_0_74]) ).
cnf(c_0_126,plain,
( ~ epred1_0
| ~ epred2_0
| f1($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_100]),c_0_102]),c_0_74]) ).
cnf(c_0_127,plain,
( ~ f1($true)
| ~ f2($true)
| ~ x
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_128,plain,
( epred2_0
| epred6_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_129,plain,
( ~ f1($true)
| ~ epred6_0
| x
| epred2_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_80]) ).
cnf(c_0_130,plain,
( ~ epred6_0
| x
| f1($true)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_105]) ).
cnf(c_0_131,plain,
( ~ f0($false)
| ~ epred9_0
| epred7_0 ),
inference(csr,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_132,plain,
( ~ epred10_0
| f0($false)
| f0($true)
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_133,negated_conjecture,
( ~ epred8_0
| epred3_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_88]) ).
cnf(c_0_134,negated_conjecture,
( ~ epred4_0
| ~ epred10_0
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_135,negated_conjecture,
( ~ epred8_0
| epred1_0
| epred9_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_112]) ).
cnf(c_0_136,plain,
( ~ epred2_0
| epred3_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_137,plain,
( ~ epred2_0
| ~ epred1_0
| epred4_0 ),
inference(cn,[status(thm)],[c_0_116]) ).
cnf(c_0_138,plain,
( x
| f1($false)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_117]),c_0_118]) ).
cnf(c_0_139,plain,
( ~ epred6_0
| epred7_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_140,plain,
( epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_122]),c_0_123]),c_0_98]) ).
cnf(c_0_141,plain,
( ~ epred1_0
| ~ epred2_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_142,plain,
( f1($false)
| epred2_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_95]),c_0_104]),c_0_39]),c_0_128]) ).
cnf(c_0_143,plain,
( ~ epred6_0
| x
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_144,plain,
( ~ epred9_0
| ~ epred10_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_107]) ).
cnf(c_0_145,plain,
( ~ epred8_0
| epred1_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_133]) ).
cnf(c_0_146,negated_conjecture,
( ~ epred4_0
| ~ epred8_0
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_147,plain,
( ~ epred2_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_136]),c_0_137]) ).
cnf(c_0_148,plain,
( ~ x
| epred1_0
| f2($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_149,plain,
( x
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_138]),c_0_118]) ).
cnf(c_0_150,plain,
( ~ f1($true)
| ~ epred5_0
| ~ f2($false)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_151,plain,
( epred5_0
| epred7_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_152,plain,
( ~ epred6_0
| ~ x
| f2($false)
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_153,plain,
( ~ epred8_0
| ~ f2($false)
| f1($true)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_154,plain,
( ~ epred8_0
| f1($false)
| f2($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_155,plain,
( ~ epred8_0
| ~ f2($true)
| f1($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_156,plain,
( ~ epred8_0
| f1($false)
| f2($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_157,plain,
( ~ epred1_0
| epred3_0
| f1($false)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_158,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_159,plain,
( ~ epred7_0
| epred9_0
| f0($false)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_160,plain,
( ~ epred1_0
| ~ epred2_0
| f1($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_51]),c_0_141]),c_0_74]) ).
cnf(c_0_161,plain,
( ~ f1($true)
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_142]) ).
cnf(c_0_162,plain,
( ~ epred6_0
| f1($true)
| epred2_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_29]),c_0_143]),c_0_39]) ).
cnf(c_0_163,plain,
( ~ epred8_0
| ~ epred9_0
| epred1_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_164,negated_conjecture,
( ~ epred2_0
| ~ epred8_0
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_165,plain,
( f1($false)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_148]),c_0_149]),c_0_118]) ).
cnf(c_0_166,plain,
( f1($false)
| epred7_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_31]),c_0_39]),c_0_151]) ).
cnf(c_0_167,plain,
( ~ epred5_0
| ~ f1($false)
| epred8_0
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_168,plain,
( ~ epred6_0
| f2($true)
| f2($false) ),
inference(csr,[status(thm)],[c_0_152,c_0_80]) ).
cnf(c_0_169,plain,
( ~ epred7_0
| ~ f1($false)
| f2($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_170,plain,
( ~ epred8_0
| f1($true)
| f1($false)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_171,plain,
( ~ epred7_0
| ~ f1($false)
| f2($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_172,plain,
( ~ epred8_0
| f1($true)
| f1($false)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_173,negated_conjecture,
( ~ epred3_0
| ~ f0($false)
| ~ epred9_0
| ~ f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_174,negated_conjecture,
( f0($false)
| epred4_0
| f0($false)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_175,plain,
( ~ epred1_0
| f1($false)
| epred3_0 ),
inference(cn,[status(thm)],[c_0_157]) ).
cnf(c_0_176,plain,
( ~ epred2_0
| ~ epred1_0
| epred3_0 ),
inference(cn,[status(thm)],[c_0_158]) ).
cnf(c_0_177,plain,
( ~ epred7_0
| f0($false)
| epred9_0 ),
inference(cn,[status(thm)],[c_0_159]) ).
cnf(c_0_178,plain,
( ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_160]),c_0_126]) ).
cnf(c_0_179,plain,
( epred2_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_128]) ).
cnf(c_0_180,negated_conjecture,
( ~ epred2_0
| ~ epred8_0
| epred1_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_181,plain,
( epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_165]),c_0_118]) ).
cnf(c_0_182,plain,
( ~ f1($true)
| epred7_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_166]) ).
cnf(c_0_183,plain,
( ~ epred5_0
| f1($true)
| epred7_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_167]),c_0_39]) ).
cnf(c_0_184,plain,
( ~ epred5_0
| ~ f2($true)
| ~ f2($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_185,plain,
( ~ epred5_0
| ~ epred6_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_168]),c_0_105]) ).
cnf(c_0_186,plain,
( ~ epred7_0
| ~ f1($true)
| ~ f2($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_187,plain,
( ~ epred7_0
| ~ epred8_0
| f1($true)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_169]),c_0_170]) ).
cnf(c_0_188,plain,
( ~ epred7_0
| ~ f1($true)
| ~ f2($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_189,plain,
( ~ epred7_0
| ~ epred8_0
| f1($true)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_171]),c_0_172]) ).
cnf(c_0_190,plain,
( ~ epred10_0
| f0($false)
| f0($false)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_191,negated_conjecture,
( ~ f0($false)
| ~ epred9_0
| ~ epred3_0 ),
inference(cn,[status(thm)],[c_0_173]) ).
cnf(c_0_192,negated_conjecture,
( f0($false)
| epred10_0
| epred4_0 ),
inference(cn,[status(thm)],[c_0_174]) ).
cnf(c_0_193,plain,
( ~ epred1_0
| ~ f1($false)
| epred3_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_194,plain,
( ~ f1($true)
| ~ epred1_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_175]),c_0_176]) ).
cnf(c_0_195,plain,
( ~ epred7_0
| ~ f0($false)
| epred9_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_196,plain,
( ~ f0($true)
| ~ epred7_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_177]) ).
cnf(c_0_197,plain,
( ~ epred1_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_198,negated_conjecture,
( ~ epred8_0
| epred1_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_199,plain,
( epred7_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_151]) ).
cnf(c_0_200,plain,
( ~ f2($false)
| ~ f2($true)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_184,c_0_18]) ).
cnf(c_0_201,plain,
( ~ x
| ~ epred5_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_185]) ).
cnf(c_0_202,plain,
( ~ f1($false)
| ~ f1($true)
| ~ epred7_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_169]) ).
cnf(c_0_203,plain,
( ~ epred7_0
| ~ epred8_0
| f1($false)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_154]),c_0_187]) ).
cnf(c_0_204,plain,
( ~ f1($false)
| ~ f1($true)
| ~ epred7_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_188,c_0_171]) ).
cnf(c_0_205,plain,
( ~ epred7_0
| ~ epred8_0
| f1($false)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_156]),c_0_189]) ).
cnf(c_0_206,plain,
( ~ epred4_0
| f1($false)
| f1($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_207,plain,
( ~ epred10_0
| f0($false)
| epred8_0 ),
inference(cn,[status(thm)],[c_0_190]) ).
cnf(c_0_208,negated_conjecture,
( ~ epred3_0
| ~ epred9_0
| epred4_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_209,plain,
( ~ epred1_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_193,c_0_114]),c_0_194]) ).
cnf(c_0_210,plain,
( ~ epred7_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_195,c_0_177]),c_0_196]) ).
cnf(c_0_211,negated_conjecture,
epred7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_212,plain,
( ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_80]),c_0_105]),c_0_201]) ).
cnf(c_0_213,plain,
( ~ epred7_0
| ~ epred8_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_187]) ).
cnf(c_0_214,plain,
( ~ epred7_0
| ~ epred8_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_189]) ).
cnf(c_0_215,plain,
( ~ epred4_0
| f1($false)
| epred2_0 ),
inference(cn,[status(thm)],[c_0_206]) ).
cnf(c_0_216,plain,
( ~ epred3_0
| ~ epred9_0
| ~ epred10_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_207]) ).
cnf(c_0_217,plain,
( ~ epred10_0
| ~ f0($false)
| f0($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_218,plain,
( ~ f0($true)
| ~ epred10_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_207]) ).
cnf(c_0_219,negated_conjecture,
( ~ epred1_0
| ~ epred9_0
| epred4_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_220,plain,
epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).
cnf(c_0_221,plain,
( ~ epred7_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).
cnf(c_0_222,plain,
( ~ epred4_0
| ~ f1($false)
| f1($true)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_223,plain,
( ~ f1($true)
| ~ epred4_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_215]) ).
cnf(c_0_224,plain,
( ~ epred1_0
| ~ epred9_0
| ~ epred10_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_209]) ).
cnf(c_0_225,plain,
( ~ epred10_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_217,c_0_207]),c_0_218]) ).
cnf(c_0_226,negated_conjecture,
( ~ epred1_0
| epred4_0
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_220])]) ).
cnf(c_0_227,plain,
~ epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_211])]) ).
cnf(c_0_228,plain,
( ~ x
| ~ f1($false)
| ~ epred7_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_169]) ).
cnf(c_0_229,plain,
( ~ x
| ~ epred2_0
| f1($false)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_51]) ).
cnf(c_0_230,plain,
( ~ epred4_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_222,c_0_215]),c_0_223]) ).
cnf(c_0_231,plain,
( ~ epred1_0
| ~ epred9_0
| epred4_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_219]) ).
cnf(c_0_232,plain,
( ~ epred1_0
| epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
cnf(c_0_233,plain,
( ~ x
| ~ epred2_0
| ~ epred7_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_234,plain,
( ~ epred1_0
| ~ epred9_0
| epred2_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_235,plain,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_232]),c_0_181]) ).
cnf(c_0_236,plain,
( ~ x
| ~ epred2_0
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_211])]) ).
cnf(c_0_237,plain,
( ~ f1($true)
| ~ f2($true)
| ~ f2($false)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_238,plain,
( ~ epred1_0
| ~ epred7_0
| epred2_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_210]) ).
cnf(c_0_239,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_235])]) ).
cnf(c_0_240,plain,
( ~ x
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_235])]) ).
cnf(c_0_241,plain,
( ~ f1($true)
| ~ epred6_0
| x
| epred8_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_105]) ).
cnf(c_0_242,plain,
( ~ epred6_0
| x
| f1($true)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_80]) ).
cnf(c_0_243,plain,
( ~ f1($true)
| x
| epred5_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_11]),c_0_16]) ).
cnf(c_0_244,plain,
( x
| f1($true)
| epred1_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_11]) ).
cnf(c_0_245,plain,
( ~ epred1_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_238]),c_0_199]) ).
cnf(c_0_246,plain,
( ~ x
| ~ f1($true)
| f1($false) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_148]),c_0_227]),c_0_239]),c_0_240]) ).
cnf(c_0_247,plain,
( ~ epred6_0
| x
| epred1_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_248,plain,
( x
| epred5_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]) ).
cnf(c_0_249,plain,
( ~ x
| ~ f1($true) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_246]),c_0_227]) ).
cnf(c_0_250,plain,
( ~ epred6_0
| f1($true)
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_97]),c_0_247]),c_0_69]),c_0_245]) ).
cnf(c_0_251,plain,
( x
| f1($true)
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_167]),c_0_69]),c_0_248]),c_0_245]) ).
cnf(c_0_252,plain,
( x
| epred5_0 ),
inference(sr,[status(thm)],[c_0_248,c_0_227]) ).
cnf(c_0_253,plain,
~ x,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_227]),c_0_240]) ).
cnf(c_0_254,plain,
( x
| f1($true) ),
inference(sr,[status(thm)],[c_0_251,c_0_227]) ).
cnf(c_0_255,plain,
epred5_0,
inference(sr,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_256,plain,
f1($true),
inference(sr,[status(thm)],[c_0_254,c_0_253]) ).
cnf(c_0_257,plain,
~ f2($false),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_255])]),c_0_227]),c_0_256])]) ).
cnf(c_0_258,plain,
~ f1($false),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_256])]),c_0_227]) ).
cnf(c_0_259,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_235])]),c_0_257]),c_0_258]),c_0_253]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8.003 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:55:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.47 % Version: 3.5.1
% 0.10/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.47 % Starting sh5l with 300s (1) cores
% 0.10/0.47 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1824637 completed with status 0
% 0.10/0.47 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.10/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.10/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.10/0.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.10/0.47 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.10/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.10/0.47 % SubtermCWHack with pid 1824644 completed with status 0
% 0.10/0.47 % Result found by SubtermCWHack
% 0.10/0.47 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.47 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.47 % No SInE strategy applied
% 0.10/0.47 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.10/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.47 % Preprocessing time : 0.001 s
% 0.10/0.47
% 0.10/0.47 % Proof found!
% 0.10/0.47 % SZS status Theorem
% 0.10/0.47 % SZS output start CNFRefutation
% See solution above
% 0.10/0.47 % Parsed axioms : 5
% 0.10/0.47 % Removed by relevancy pruning/SinE : 0
% 0.10/0.47 % Initial clauses : 314
% 0.10/0.47 % Removed in clause preprocessing : 136
% 0.10/0.47 % Initial clauses in saturation : 178
% 0.10/0.47 % Processed clauses : 1059
% 0.10/0.47 % ...of these trivial : 13
% 0.10/0.47 % ...subsumed : 688
% 0.10/0.47 % ...remaining for further processing : 357
% 0.10/0.47 % Other redundant clauses eliminated : 0
% 0.10/0.47 % Clauses deleted for lack of memory : 0
% 0.10/0.47 % Backward-subsumed : 227
% 0.10/0.47 % Backward-rewritten : 102
% 0.10/0.47 % Generated clauses : 2042
% 0.10/0.47 % ...of the previous two non-redundant : 1125
% 0.10/0.47 % ...aggressively subsumed : 0
% 0.10/0.47 % Contextual simplify-reflections : 138
% 0.10/0.47 % Paramodulations : 2034
% 0.10/0.47 % Factorizations : 0
% 0.10/0.47 % NegExts : 0
% 0.10/0.47 % Equation resolutions : 0
% 0.10/0.47 % Disequality decompositions : 0
% 0.10/0.47 % Total rewrite steps : 129
% 0.10/0.47 % ...of those cached : 123
% 0.10/0.47 % Propositional unsat checks : 0
% 0.10/0.47 % Propositional check models : 0
% 0.10/0.47 % Propositional check unsatisfiable : 0
% 0.10/0.47 % Propositional clauses : 0
% 0.10/0.47 % Propositional clauses after purity: 0
% 0.10/0.47 % Propositional unsat core size : 0
% 0.10/0.47 % Propositional preprocessing time : 0.000
% 0.10/0.47 % Propositional encoding time : 0.000
% 0.10/0.47 % Propositional solver time : 0.000
% 0.10/0.47 % Success case prop preproc time : 0.000
% 0.10/0.47 % Success case prop encoding time : 0.000
% 0.10/0.47 % Success case prop solver time : 0.000
% 0.10/0.47 % Current number of processed clauses : 20
% 0.10/0.47 % Positive orientable unit clauses : 6
% 0.10/0.47 % Positive unorientable unit clauses: 0
% 0.10/0.47 % Negative unit clauses : 7
% 0.10/0.47 % Non-unit-clauses : 7
% 0.10/0.47 % Current number of unprocessed clauses: 4
% 0.10/0.47 % ...number of literals in the above : 12
% 0.10/0.47 % Current number of archived formulas : 0
% 0.10/0.47 % Current number of archived clauses : 337
% 0.10/0.47 % Clause-clause subsumption calls (NU) : 22288
% 0.10/0.47 % Rec. Clause-clause subsumption calls : 6496
% 0.10/0.47 % Non-unit clause-clause subsumptions : 986
% 0.10/0.47 % Unit Clause-clause subsumption calls : 365
% 0.10/0.47 % Rewrite failures with RHS unbound : 0
% 0.10/0.47 % BW rewrite match attempts : 6
% 0.10/0.47 % BW rewrite match successes : 6
% 0.10/0.47 % Condensation attempts : 0
% 0.10/0.47 % Condensation successes : 0
% 0.10/0.47 % Termbank termtop insertions : 28523
% 0.10/0.47 % Search garbage collected termcells : 1740
% 0.10/0.47
% 0.10/0.47 % -------------------------------------------------
% 0.10/0.47 % User time : 0.035 s
% 0.10/0.47 % System time : 0.005 s
% 0.10/0.47 % Total time : 0.040 s
% 0.10/0.47 % Maximum resident set size: 3888 pages
% 0.10/0.47
% 0.10/0.47 % -------------------------------------------------
% 0.10/0.47 % User time : 0.129 s
% 0.10/0.47 % System time : 0.015 s
% 0.10/0.47 % Total time : 0.144 s
% 0.10/0.47 % Maximum resident set size: 4608 pages
% 0.10/0.47 % E exiting
%------------------------------------------------------------------------------