%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYO500_8.005 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:52:00 EDT 2024
% Result : Theorem 0.70s 0.58s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% 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,
f3: $o > $o ).
tff(decl_27,type,
f4: $o > $o ).
tff(decl_28,type,
epred1_0: $o ).
tff(decl_29,type,
epred2_0: $o ).
tff(decl_30,type,
epred3_0: $o ).
tff(decl_31,type,
epred4_0: $o ).
tff(decl_32,type,
epred5_0: $o ).
tff(decl_33,type,
epred6_0: $o ).
tff(decl_34,type,
epred7_0: $o ).
tff(decl_35,type,
epred8_0: $o ).
tff(decl_36,type,
epred9_0: $o ).
tff(decl_37,type,
epred10_0: $o ).
tff(decl_38,type,
epred11_0: $o ).
tff(decl_39,type,
epred12_0: $o ).
tff(decl_40,type,
epred13_0: $o ).
tff(decl_41,type,
epred14_0: $o ).
tff(decl_42,type,
epred15_0: $o ).
tff(decl_43,type,
epred16_0: $o ).
tff(decl_44,type,
epred17_0: $o ).
tff(decl_45,type,
epred18_0: $o ).
fof(kaminski5,conjecture,
( f0(f1(f1(f1(f2(f3(f3(f3(f4(x)))))))))
<=> f0(f0(f0(f1(f2(f2(f2(f3(f4(f4(f4(x))))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski5) ).
fof(c_0_1,plain,
( epred2_0
<=> ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred1_0
<=> ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred9_0
<=> ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
( ( ~ x
| ~ f4($true)
| f3($true)
| ~ epred2_0 )
& ( x
| ~ f4($false)
| f3($true)
| ~ epred2_0 )
& ( ~ x
| f4($true)
| f3($false)
| ~ epred2_0 )
& ( x
| f4($false)
| f3($false)
| ~ epred2_0 )
& ( ~ x
| x
| ~ x
| x
| epred2_0 )
& ( ~ f4($false)
| x
| ~ x
| x
| epred2_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| x
| epred2_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| x
| epred2_0 )
& ( ~ f3($false)
| ~ x
| x
| epred2_0 )
& ( ~ x
| x
| f4($false)
| x
| epred2_0 )
& ( ~ f4($false)
| x
| f4($false)
| x
| epred2_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| x
| epred2_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| x
| epred2_0 )
& ( ~ f3($false)
| f4($false)
| x
| epred2_0 )
& ( ~ x
| x
| ~ x
| f4($true)
| epred2_0 )
& ( ~ f4($false)
| x
| ~ x
| f4($true)
| epred2_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| f4($true)
| epred2_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| f4($true)
| epred2_0 )
& ( ~ f3($false)
| ~ x
| f4($true)
| epred2_0 )
& ( ~ x
| x
| f4($false)
| f4($true)
| epred2_0 )
& ( ~ f4($false)
| x
| f4($false)
| f4($true)
| epred2_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| f4($true)
| epred2_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| f4($true)
| epred2_0 )
& ( ~ f3($false)
| f4($false)
| f4($true)
| epred2_0 )
& ( ~ x
| x
| ~ f3($true)
| epred2_0 )
& ( ~ f4($false)
| x
| ~ f3($true)
| epred2_0 )
& ( ~ x
| ~ f4($true)
| ~ f3($true)
| epred2_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ f3($true)
| epred2_0 )
& ( ~ f3($false)
| ~ f3($true)
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
fof(c_0_5,plain,
( ( ~ x
| ~ f4($true)
| ~ f3($true)
| ~ epred1_0 )
& ( x
| ~ f4($false)
| ~ f3($true)
| ~ epred1_0 )
& ( ~ x
| f4($true)
| ~ f3($false)
| ~ epred1_0 )
& ( x
| f4($false)
| ~ f3($false)
| ~ epred1_0 )
& ( ~ x
| x
| ~ x
| x
| epred1_0 )
& ( ~ f4($false)
| x
| ~ x
| x
| epred1_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| x
| epred1_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| x
| epred1_0 )
& ( f3($false)
| ~ x
| x
| epred1_0 )
& ( ~ x
| x
| f4($false)
| x
| epred1_0 )
& ( ~ f4($false)
| x
| f4($false)
| x
| epred1_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| x
| epred1_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| x
| epred1_0 )
& ( f3($false)
| f4($false)
| x
| epred1_0 )
& ( ~ x
| x
| ~ x
| f4($true)
| epred1_0 )
& ( ~ f4($false)
| x
| ~ x
| f4($true)
| epred1_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| f4($true)
| epred1_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| f4($true)
| epred1_0 )
& ( f3($false)
| ~ x
| f4($true)
| epred1_0 )
& ( ~ x
| x
| f4($false)
| f4($true)
| epred1_0 )
& ( ~ f4($false)
| x
| f4($false)
| f4($true)
| epred1_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| f4($true)
| epred1_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| f4($true)
| epred1_0 )
& ( f3($false)
| f4($false)
| f4($true)
| epred1_0 )
& ( ~ x
| x
| f3($true)
| epred1_0 )
& ( ~ f4($false)
| x
| f3($true)
| epred1_0 )
& ( ~ x
| ~ f4($true)
| f3($true)
| epred1_0 )
& ( ~ f4($false)
| ~ f4($true)
| f3($true)
| epred1_0 )
& ( f3($false)
| f3($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_6,plain,
( ( ~ x
| ~ f4($true)
| ~ f4($true)
| ~ epred9_0 )
& ( x
| ~ f4($false)
| ~ f4($true)
| ~ epred9_0 )
& ( ~ x
| f4($true)
| ~ f4($false)
| ~ epred9_0 )
& ( x
| f4($false)
| ~ f4($false)
| ~ epred9_0 )
& ( ~ x
| x
| ~ x
| x
| epred9_0 )
& ( ~ f4($false)
| x
| ~ x
| x
| epred9_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| x
| epred9_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| x
| epred9_0 )
& ( f4($false)
| ~ x
| x
| epred9_0 )
& ( ~ x
| x
| f4($false)
| x
| epred9_0 )
& ( ~ f4($false)
| x
| f4($false)
| x
| epred9_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| x
| epred9_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| x
| epred9_0 )
& ( f4($false)
| f4($false)
| x
| epred9_0 )
& ( ~ x
| x
| ~ x
| f4($true)
| epred9_0 )
& ( ~ f4($false)
| x
| ~ x
| f4($true)
| epred9_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| f4($true)
| epred9_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| f4($true)
| epred9_0 )
& ( f4($false)
| ~ x
| f4($true)
| epred9_0 )
& ( ~ x
| x
| f4($false)
| f4($true)
| epred9_0 )
& ( ~ f4($false)
| x
| f4($false)
| f4($true)
| epred9_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| f4($true)
| epred9_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| f4($true)
| epred9_0 )
& ( f4($false)
| f4($false)
| f4($true)
| epred9_0 )
& ( ~ x
| x
| f4($true)
| epred9_0 )
& ( ~ f4($false)
| x
| f4($true)
| epred9_0 )
& ( ~ x
| ~ f4($true)
| f4($true)
| epred9_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($true)
| epred9_0 )
& ( f4($false)
| f4($true)
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( x
| epred2_0
| ~ f4($false)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( f3($false)
| f4($false)
| x
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( f3($false)
| f3($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,plain,
( epred10_0
<=> ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) ) ),
introduced(definition) ).
cnf(c_0_11,plain,
( f4($false)
| f4($false)
| x
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
( epred4_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) ) ),
introduced(definition) ).
cnf(c_0_13,plain,
( f4($false)
| x
| epred2_0
| ~ f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( epred2_0
| epred1_0
| f3($false)
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_15,plain,
( epred2_0
| ~ f3($false)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_16,plain,
( ( ~ x
| ~ f4($true)
| f4($true)
| ~ epred10_0 )
& ( x
| ~ f4($false)
| f4($true)
| ~ epred10_0 )
& ( ~ x
| f4($true)
| f4($false)
| ~ epred10_0 )
& ( x
| f4($false)
| f4($false)
| ~ epred10_0 )
& ( ~ x
| x
| ~ x
| x
| epred10_0 )
& ( ~ f4($false)
| x
| ~ x
| x
| epred10_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| x
| epred10_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| x
| epred10_0 )
& ( ~ f4($false)
| ~ x
| x
| epred10_0 )
& ( ~ x
| x
| f4($false)
| x
| epred10_0 )
& ( ~ f4($false)
| x
| f4($false)
| x
| epred10_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| x
| epred10_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| x
| epred10_0 )
& ( ~ f4($false)
| f4($false)
| x
| epred10_0 )
& ( ~ x
| x
| ~ x
| f4($true)
| epred10_0 )
& ( ~ f4($false)
| x
| ~ x
| f4($true)
| epred10_0 )
& ( ~ x
| ~ f4($true)
| ~ x
| f4($true)
| epred10_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ x
| f4($true)
| epred10_0 )
& ( ~ f4($false)
| ~ x
| f4($true)
| epred10_0 )
& ( ~ x
| x
| f4($false)
| f4($true)
| epred10_0 )
& ( ~ f4($false)
| x
| f4($false)
| f4($true)
| epred10_0 )
& ( ~ x
| ~ f4($true)
| f4($false)
| f4($true)
| epred10_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| f4($true)
| epred10_0 )
& ( ~ f4($false)
| f4($false)
| f4($true)
| epred10_0 )
& ( ~ x
| x
| ~ f4($true)
| epred10_0 )
& ( ~ f4($false)
| x
| ~ f4($true)
| epred10_0 )
& ( ~ x
| ~ f4($true)
| ~ f4($true)
| epred10_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ f4($true)
| epred10_0 )
& ( ~ f4($false)
| ~ f4($true)
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_17,plain,
( x
| f4($true)
| epred9_0
| ~ f4($false) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
( x
| epred9_0
| f4($false) ),
inference(cn,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
( epred4_0
<=> ( ( ( ( epred1_0
| ~ f3($true) )
& ( epred2_0
| ~ f3($false) ) )
| f3($true) )
& ( ( ( epred1_0
| f3($true) )
& ( epred2_0
| f3($false) ) )
| f3($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_2]),c_0_1]),c_0_2]),c_0_1]) ).
cnf(c_0_20,plain,
( x
| f3($true)
| epred1_0
| ~ f4($false) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
( epred2_0
| epred1_0
| f4($false)
| x ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,plain,
( epred2_0
| epred1_0
| x
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
fof(c_0_23,plain,
( epred11_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) ) ),
introduced(definition) ).
cnf(c_0_24,plain,
( f4($true)
| epred10_0
| ~ f4($false)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( epred10_0
| ~ f4($false)
| ~ f4($true) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( epred9_0
| f4($true)
| x ),
inference(csr,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_27,plain,
( ( epred1_0
| ~ f3($true)
| f3($true)
| ~ epred4_0 )
& ( epred2_0
| ~ f3($false)
| f3($true)
| ~ epred4_0 )
& ( epred1_0
| f3($true)
| f3($false)
| ~ epred4_0 )
& ( epred2_0
| f3($false)
| f3($false)
| ~ epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f3($false)
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ f3($true)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f3($false)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| f3($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f3($false)
| ~ epred1_0
| f3($false)
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ f3($true)
| f3($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f3($false)
| f3($false)
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ epred1_0
| ~ epred2_0
| f3($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f3($true)
| ~ epred2_0
| f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred2_0
| f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ epred2_0
| f3($true)
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| f3($false)
| f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ epred1_0
| f3($false)
| f3($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f3($true)
| f3($false)
| f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred4_0 )
& ( ~ f3($false)
| f3($false)
| f3($true)
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ epred1_0
| ~ f3($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f3($true)
| ~ f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ f3($true)
| epred4_0 )
& ( ~ f3($false)
| ~ f3($true)
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_28,plain,
( f3($false)
| f4($true)
| epred1_0
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,plain,
( epred2_0
| epred1_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
fof(c_0_30,plain,
( epred11_0
<=> ( ( ( ( epred9_0
| ~ f4($true) )
& ( epred10_0
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( epred9_0
| f4($true) )
& ( epred10_0
| f4($false) ) )
| ~ f3($false) ) ) ),
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_3]),c_0_10]),c_0_3]),c_0_10]) ).
cnf(c_0_31,plain,
( epred10_0
| ~ x
| ~ f4($true)
| ~ f4($true) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,plain,
( epred10_0
| ~ f4($false)
| ~ x ),
inference(csr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,plain,
( f4($false)
| f4($true)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_34,plain,
( epred10_0
| epred9_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_18]),c_0_26]) ).
cnf(c_0_35,plain,
( epred4_0
| ~ epred2_0
| ~ f3($true)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( f4($true)
| epred2_0
| ~ f3($false)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,plain,
( epred2_0
| epred1_0
| f4($true)
| f3($false) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_38,plain,
( ( epred9_0
| ~ f4($true)
| ~ f3($true)
| ~ epred11_0 )
& ( epred10_0
| ~ f4($false)
| ~ f3($true)
| ~ epred11_0 )
& ( epred9_0
| f4($true)
| ~ f3($false)
| ~ epred11_0 )
& ( epred10_0
| f4($false)
| ~ f3($false)
| ~ epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ f4($false)
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ f4($true)
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( f3($false)
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| f4($false)
| ~ epred9_0
| epred11_0 )
& ( ~ f4($false)
| ~ epred9_0
| f4($false)
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ f4($true)
| f4($false)
| ~ epred9_0
| epred11_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| ~ epred9_0
| epred11_0 )
& ( f3($false)
| f4($false)
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| f4($true)
| epred11_0 )
& ( ~ f4($false)
| ~ epred9_0
| ~ epred10_0
| f4($true)
| epred11_0 )
& ( ~ epred10_0
| ~ f4($true)
| ~ epred10_0
| f4($true)
| epred11_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ epred10_0
| f4($true)
| epred11_0 )
& ( f3($false)
| ~ epred10_0
| f4($true)
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| f4($false)
| f4($true)
| epred11_0 )
& ( ~ f4($false)
| ~ epred9_0
| f4($false)
| f4($true)
| epred11_0 )
& ( ~ epred10_0
| ~ f4($true)
| f4($false)
| f4($true)
| epred11_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| f4($true)
| epred11_0 )
& ( f3($false)
| f4($false)
| f4($true)
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| f3($true)
| epred11_0 )
& ( ~ f4($false)
| ~ epred9_0
| f3($true)
| epred11_0 )
& ( ~ epred10_0
| ~ f4($true)
| f3($true)
| epred11_0 )
& ( ~ f4($false)
| ~ f4($true)
| f3($true)
| epred11_0 )
& ( f3($false)
| f3($true)
| epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_39,plain,
( epred10_0
| ~ x
| ~ f4($true) ),
inference(cn,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( epred10_0
| epred9_0
| f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_41,plain,
( f3($true)
| epred4_0
| ~ f3($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( epred4_0
| ~ epred2_0
| ~ f3($true) ),
inference(cn,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( epred4_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,plain,
( epred2_0
| ~ x
| ~ f4($true)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_45,plain,
( epred2_0
| epred1_0
| f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_37]) ).
cnf(c_0_46,plain,
( f3($false)
| f4($true)
| epred11_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( epred10_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34]) ).
cnf(c_0_48,plain,
( x
| ~ f4($false)
| ~ f3($true)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_49,plain,
( epred4_0
| ~ epred2_0
| ~ f3($false) ),
inference(csr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( epred4_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( f3($true)
| epred1_0
| ~ x
| ~ f4($true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_52,plain,
( epred2_0
| epred1_0
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_29]) ).
cnf(c_0_53,plain,
( ~ x
| ~ f4($true)
| ~ f3($true)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_54,plain,
( epred11_0
| epred9_0
| f4($true)
| f3($false) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
( epred9_0
| x
| ~ epred1_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_48,c_0_18]) ).
cnf(c_0_56,plain,
( f3($false)
| f3($true)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_57,plain,
( epred4_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_9]),c_0_42]),c_0_50]) ).
cnf(c_0_58,plain,
( epred2_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_29]),c_0_45]),c_0_52]) ).
cnf(c_0_59,plain,
( epred11_0
| epred9_0
| f3($false)
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_60,plain,
( epred4_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,plain,
( f3($true)
| epred11_0
| ~ epred10_0
| ~ f4($true) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_62,plain,
( epred4_0
| ~ f3($false)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_63,plain,
( epred11_0
| epred9_0
| epred4_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( epred11_0
| epred9_0
| f3($true)
| ~ f4($true) ),
inference(spm,[status(thm)],[c_0_61,c_0_47]) ).
cnf(c_0_65,plain,
( ~ x
| ~ f4($true)
| ~ f4($true)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_66,plain,
( epred11_0
| epred9_0
| epred4_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( epred11_0
| epred9_0
| f3($true)
| x ),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
cnf(c_0_68,plain,
( x
| ~ f4($false)
| ~ f4($true)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_69,plain,
( ~ x
| ~ epred9_0
| ~ f4($true) ),
inference(cn,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
( epred11_0
| epred9_0
| epred4_0
| x ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,plain,
( f4($true)
| ~ x
| ~ f4($false)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_72,plain,
( ~ epred9_0
| ~ f4($true)
| ~ f4($false) ),
inference(csr,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,plain,
( epred11_0
| epred9_0
| epred4_0
| f4($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_70]),c_0_63]),c_0_57]) ).
cnf(c_0_74,plain,
( ~ epred9_0
| ~ f4($false)
| ~ x ),
inference(csr,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,plain,
( f3($false)
| f4($false)
| f4($true)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_76,plain,
( epred12_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) ) ),
introduced(definition) ).
cnf(c_0_77,plain,
( f3($false)
| f4($false)
| epred11_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_78,plain,
( epred11_0
| epred9_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_73]),c_0_66]) ).
cnf(c_0_79,plain,
( epred11_0
| f3($false)
| ~ epred9_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_69]) ).
fof(c_0_80,plain,
( epred3_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) ) ),
introduced(definition) ).
fof(c_0_81,plain,
( epred12_0
<=> ( ( ( ( epred9_0
| ~ f4($true) )
& ( epred10_0
| ~ f4($false) ) )
| f3($true) )
& ( ( ( epred9_0
| f4($true) )
& ( epred10_0
| f4($false) ) )
| f3($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_76,c_0_3]),c_0_10]),c_0_3]),c_0_10]) ).
cnf(c_0_82,plain,
( f4($true)
| ~ x
| ~ f3($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_83,plain,
( epred11_0
| epred4_0
| f4($false)
| f3($false) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
( epred11_0
| epred4_0
| f3($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_79,c_0_78]) ).
fof(c_0_85,plain,
( epred3_0
<=> ( ( ( ( epred1_0
| ~ f3($true) )
& ( epred2_0
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( epred1_0
| f3($true) )
& ( epred2_0
| f3($false) ) )
| ~ f3($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_80,c_0_2]),c_0_1]),c_0_2]),c_0_1]) ).
fof(c_0_86,plain,
( ( epred9_0
| ~ f4($true)
| f3($true)
| ~ epred12_0 )
& ( epred10_0
| ~ f4($false)
| f3($true)
| ~ epred12_0 )
& ( epred9_0
| f4($true)
| f3($false)
| ~ epred12_0 )
& ( epred10_0
| f4($false)
| f3($false)
| ~ epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ f4($false)
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ f4($true)
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ f3($false)
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| f4($false)
| ~ epred9_0
| epred12_0 )
& ( ~ f4($false)
| ~ epred9_0
| f4($false)
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ f4($true)
| f4($false)
| ~ epred9_0
| epred12_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| ~ epred9_0
| epred12_0 )
& ( ~ f3($false)
| f4($false)
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| f4($true)
| epred12_0 )
& ( ~ f4($false)
| ~ epred9_0
| ~ epred10_0
| f4($true)
| epred12_0 )
& ( ~ epred10_0
| ~ f4($true)
| ~ epred10_0
| f4($true)
| epred12_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ epred10_0
| f4($true)
| epred12_0 )
& ( ~ f3($false)
| ~ epred10_0
| f4($true)
| epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| f4($false)
| f4($true)
| epred12_0 )
& ( ~ f4($false)
| ~ epred9_0
| f4($false)
| f4($true)
| epred12_0 )
& ( ~ epred10_0
| ~ f4($true)
| f4($false)
| f4($true)
| epred12_0 )
& ( ~ f4($false)
| ~ f4($true)
| f4($false)
| f4($true)
| epred12_0 )
& ( ~ f3($false)
| f4($false)
| f4($true)
| epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ f3($true)
| epred12_0 )
& ( ~ f4($false)
| ~ epred9_0
| ~ f3($true)
| epred12_0 )
& ( ~ epred10_0
| ~ f4($true)
| ~ f3($true)
| epred12_0 )
& ( ~ f4($false)
| ~ f4($true)
| ~ f3($true)
| epred12_0 )
& ( ~ f3($false)
| ~ f3($true)
| epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
cnf(c_0_87,plain,
( x
| f4($false)
| ~ f3($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_88,plain,
( ~ epred9_0
| ~ epred1_0
| ~ f3($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_69,c_0_82]) ).
cnf(c_0_89,plain,
( epred11_0
| epred4_0
| f3($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_83]),c_0_56]),c_0_60]),c_0_84]) ).
fof(c_0_90,plain,
( ( epred1_0
| ~ f3($true)
| ~ f3($true)
| ~ epred3_0 )
& ( epred2_0
| ~ f3($false)
| ~ f3($true)
| ~ epred3_0 )
& ( epred1_0
| f3($true)
| ~ f3($false)
| ~ epred3_0 )
& ( epred2_0
| f3($false)
| ~ f3($false)
| ~ epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ f3($false)
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ f3($true)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( f3($false)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f3($false)
| ~ epred1_0
| epred3_0 )
& ( ~ f3($false)
| ~ epred1_0
| f3($false)
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ f3($true)
| f3($false)
| ~ epred1_0
| epred3_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| ~ epred1_0
| epred3_0 )
& ( f3($false)
| f3($false)
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| f3($true)
| epred3_0 )
& ( ~ f3($false)
| ~ epred1_0
| ~ epred2_0
| f3($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f3($true)
| ~ epred2_0
| f3($true)
| epred3_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred2_0
| f3($true)
| epred3_0 )
& ( f3($false)
| ~ epred2_0
| f3($true)
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f3($false)
| f3($true)
| epred3_0 )
& ( ~ f3($false)
| ~ epred1_0
| f3($false)
| f3($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f3($true)
| f3($false)
| f3($true)
| epred3_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred3_0 )
& ( f3($false)
| f3($false)
| f3($true)
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f3($true)
| epred3_0 )
& ( ~ f3($false)
| ~ epred1_0
| f3($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f3($true)
| f3($true)
| epred3_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($true)
| epred3_0 )
& ( f3($false)
| f3($true)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).
cnf(c_0_91,plain,
( epred12_0
| ~ epred10_0
| ~ f4($true)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_92,plain,
( f3($true)
| epred11_0
| ~ f4($false)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_93,plain,
( epred4_0
| f4($false)
| x
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_87,c_0_60]) ).
cnf(c_0_94,plain,
( epred11_0
| epred4_0
| ~ x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_60]),c_0_78]) ).
cnf(c_0_95,plain,
( epred2_0
| f3($false)
| f3($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_96,plain,
( f3($false)
| f3($false)
| epred3_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,plain,
( epred12_0
| epred9_0
| x
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_26]),c_0_34]) ).
cnf(c_0_98,plain,
( epred9_0
| epred1_0
| f3($true)
| x ),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_99,plain,
( epred11_0
| epred4_0
| f3($true)
| ~ f4($false) ),
inference(spm,[status(thm)],[c_0_92,c_0_78]) ).
cnf(c_0_100,plain,
( epred11_0
| epred4_0
| f4($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_89]),c_0_94]) ).
cnf(c_0_101,plain,
( epred11_0
| epred4_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_62,c_0_89]) ).
cnf(c_0_102,plain,
( epred2_0
| f3($true)
| ~ f3($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_103,plain,
( epred2_0
| f3($false)
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_95]) ).
cnf(c_0_104,plain,
( epred3_0
| f3($false)
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_96]) ).
cnf(c_0_105,plain,
( f4($true)
| epred12_0
| ~ f3($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_106,plain,
( epred12_0
| epred9_0
| epred1_0
| x ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,plain,
( epred9_0
| f3($true)
| ~ f4($true)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_108,plain,
( epred11_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_109,plain,
( epred2_0
| f3($true)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,plain,
( f3($true)
| epred3_0
| ~ f3($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_111,plain,
( epred4_0
| epred3_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_104,c_0_60]) ).
cnf(c_0_112,plain,
( epred12_0
| epred9_0
| f4($true)
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_105,c_0_47]) ).
cnf(c_0_113,plain,
( epred9_0
| epred1_0
| f3($true)
| ~ f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_106]),c_0_107]) ).
cnf(c_0_114,plain,
( epred11_0
| epred2_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_103,c_0_108]) ).
cnf(c_0_115,plain,
( epred11_0
| epred2_0
| f3($true) ),
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_116,plain,
( epred3_0
| f3($true)
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_110,c_0_104]) ).
cnf(c_0_117,plain,
( epred4_0
| epred3_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_62,c_0_111]) ).
cnf(c_0_118,plain,
( epred12_0
| ~ f4($false)
| ~ epred9_0
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_119,plain,
( f3($false)
| f4($false)
| f4($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_120,plain,
( epred1_0
| f3($false)
| ~ epred9_0
| ~ f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_8]),c_0_69]) ).
cnf(c_0_121,plain,
( epred12_0
| epred9_0
| epred1_0
| f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_106]),c_0_112]) ).
cnf(c_0_122,plain,
( epred12_0
| epred9_0
| epred1_0
| f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_9]),c_0_113]) ).
cnf(c_0_123,plain,
( x
| f4($false)
| f3($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_124,plain,
( epred11_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_114]),c_0_115]) ).
fof(c_0_125,plain,
( epred5_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) ) ),
introduced(definition) ).
cnf(c_0_126,plain,
( epred4_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_60]),c_0_117]) ).
cnf(c_0_127,plain,
( epred12_0
| epred1_0
| f3($false)
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_9]),c_0_120]) ).
cnf(c_0_128,plain,
( epred12_0
| epred9_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_121]),c_0_122]),c_0_47]) ).
cnf(c_0_129,plain,
( epred11_0
| f4($false)
| f3($false)
| x ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_130,plain,
( epred12_0
| epred11_0
| epred9_0
| x ),
inference(spm,[status(thm)],[c_0_97,c_0_67]) ).
cnf(c_0_131,plain,
( f4($false)
| f4($true)
| epred12_0
| ~ f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_132,plain,
( epred14_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| f2($false) ) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( epred16_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
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& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
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| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
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& ( ( ( ~ x
| f4($true) )
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| f4($false) ) )
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| ~ f4($true) )
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| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
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| f4($true) )
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& ( ( ( ~ x
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
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& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
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| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
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& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
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& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
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| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
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& ( ( ( ( ( ~ x
| ~ f4($true) )
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| ~ f4($false) ) )
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
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& ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
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& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
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& ( ( ( ( ( ( ( ~ x
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| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
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& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
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| f4($true) )
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| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) ) ),
introduced(definition) ).
fof(c_0_134,plain,
( epred13_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
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& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
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& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) ) ),
introduced(definition) ).
fof(c_0_135,plain,
( epred5_0
<=> ( ( ( ( epred3_0
| ~ f2($true) )
& ( epred4_0
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( epred3_0
| f2($true) )
& ( epred4_0
| f2($false) ) )
| ~ f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_125,c_0_80]),c_0_12]),c_0_80]),c_0_12]) ).
cnf(c_0_136,plain,
( epred3_0
| epred2_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_103,c_0_126]) ).
cnf(c_0_137,plain,
( f4($false)
| epred12_0
| ~ f3($false)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_138,plain,
( epred12_0
| epred1_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_139,plain,
( x
| f3($true)
| ~ f4($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_140,plain,
( epred12_0
| epred11_0
| f3($false)
| x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_129]),c_0_56]),c_0_130]) ).
cnf(c_0_141,plain,
( epred12_0
| ~ f3($false)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_142,plain,
( epred12_0
| epred1_0
| f4($false)
| f4($true)
| f3($true) ),
inference(spm,[status(thm)],[c_0_131,c_0_9]) ).
fof(c_0_143,plain,
( epred6_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) ) ),
introduced(definition) ).
fof(c_0_144,plain,
( epred14_0
<=> ( ( ( ( epred11_0
| ~ f2($true) )
& ( epred12_0
| ~ f2($false) ) )
| f2($true) )
& ( ( ( epred11_0
| f2($true) )
& ( epred12_0
| f2($false) ) )
| f2($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_132,c_0_23]),c_0_76]),c_0_23]),c_0_76]) ).
fof(c_0_145,plain,
( epred16_0
<=> ( ( ( ( epred13_0
| ~ f2($true) )
& ( epred14_0
| ~ f2($false) ) )
| f1($true) )
& ( ( ( epred13_0
| f2($true) )
& ( epred14_0
| f2($false) ) )
| f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_133,c_0_134]),c_0_132]),c_0_134]),c_0_132]) ).
fof(c_0_146,plain,
( ( epred3_0
| ~ f2($true)
| ~ f1($true)
| ~ epred5_0 )
& ( epred4_0
| ~ f2($false)
| ~ f1($true)
| ~ epred5_0 )
& ( epred3_0
| f2($true)
| ~ f1($false)
| ~ epred5_0 )
& ( epred4_0
| f2($false)
| ~ f1($false)
| ~ epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ f2($false)
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ f2($true)
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( f1($false)
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| f2($false)
| ~ epred3_0
| epred5_0 )
& ( ~ f2($false)
| ~ epred3_0
| f2($false)
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ f2($true)
| f2($false)
| ~ epred3_0
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred3_0
| epred5_0 )
& ( f1($false)
| f2($false)
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| ~ epred3_0
| ~ epred4_0
| f2($true)
| epred5_0 )
& ( ~ epred4_0
| ~ f2($true)
| ~ epred4_0
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred4_0
| f2($true)
| epred5_0 )
& ( f1($false)
| ~ epred4_0
| f2($true)
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| ~ epred3_0
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ epred4_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred5_0 )
& ( f1($false)
| f2($false)
| f2($true)
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| f1($true)
| epred5_0 )
& ( ~ f2($false)
| ~ epred3_0
| f1($true)
| epred5_0 )
& ( ~ epred4_0
| ~ f2($true)
| f1($true)
| epred5_0 )
& ( ~ f2($false)
| ~ f2($true)
| f1($true)
| epred5_0 )
& ( f1($false)
| f1($true)
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_135])])]) ).
cnf(c_0_147,plain,
( epred3_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_148,plain,
( epred3_0
| epred2_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_15,c_0_136]) ).
cnf(c_0_149,plain,
( epred12_0
| epred1_0
| f4($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_128]),c_0_138]) ).
cnf(c_0_150,plain,
( epred11_0
| f3($true)
| x
| ~ f4($false) ),
inference(spm,[status(thm)],[c_0_139,c_0_124]) ).
cnf(c_0_151,plain,
( epred12_0
| epred11_0
| f4($false)
| f4($true)
| x ),
inference(spm,[status(thm)],[c_0_131,c_0_140]) ).
cnf(c_0_152,plain,
( epred12_0
| epred11_0
| x
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_141,c_0_140]) ).
cnf(c_0_153,plain,
( epred12_0
| epred1_0
| f3($true)
| ~ epred9_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_142]),c_0_69]) ).
cnf(c_0_154,plain,
( epred12_0
| epred1_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_141,c_0_138]) ).
fof(c_0_155,plain,
( epred6_0
<=> ( ( ( ( epred3_0
| ~ f2($true) )
& ( epred4_0
| ~ f2($false) ) )
| f1($true) )
& ( ( ( epred3_0
| f2($true) )
& ( epred4_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_143,c_0_80]),c_0_12]),c_0_80]),c_0_12]) ).
fof(c_0_156,plain,
( ( epred11_0
| ~ f2($true)
| f2($true)
| ~ epred14_0 )
& ( epred12_0
| ~ f2($false)
| f2($true)
| ~ epred14_0 )
& ( epred11_0
| f2($true)
| f2($false)
| ~ epred14_0 )
& ( epred12_0
| f2($false)
| f2($false)
| ~ epred14_0 )
& ( ~ epred12_0
| ~ epred11_0
| ~ epred12_0
| ~ epred11_0
| epred14_0 )
& ( ~ f2($false)
| ~ epred11_0
| ~ epred12_0
| ~ epred11_0
| epred14_0 )
& ( ~ epred12_0
| ~ f2($true)
| ~ epred12_0
| ~ epred11_0
| epred14_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred12_0
| ~ epred11_0
| epred14_0 )
& ( ~ f2($false)
| ~ epred12_0
| ~ epred11_0
| epred14_0 )
& ( ~ epred12_0
| ~ epred11_0
| f2($false)
| ~ epred11_0
| epred14_0 )
& ( ~ f2($false)
| ~ epred11_0
| f2($false)
| ~ epred11_0
| epred14_0 )
& ( ~ epred12_0
| ~ f2($true)
| f2($false)
| ~ epred11_0
| epred14_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred11_0
| epred14_0 )
& ( ~ f2($false)
| f2($false)
| ~ epred11_0
| epred14_0 )
& ( ~ epred12_0
| ~ epred11_0
| ~ epred12_0
| f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ epred11_0
| ~ epred12_0
| f2($true)
| epred14_0 )
& ( ~ epred12_0
| ~ f2($true)
| ~ epred12_0
| f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred12_0
| f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ epred12_0
| f2($true)
| epred14_0 )
& ( ~ epred12_0
| ~ epred11_0
| f2($false)
| f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ epred11_0
| f2($false)
| f2($true)
| epred14_0 )
& ( ~ epred12_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred14_0 )
& ( ~ f2($false)
| f2($false)
| f2($true)
| epred14_0 )
& ( ~ epred12_0
| ~ epred11_0
| ~ f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ epred11_0
| ~ f2($true)
| epred14_0 )
& ( ~ epred12_0
| ~ f2($true)
| ~ f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ f2($true)
| epred14_0 )
& ( ~ f2($false)
| ~ f2($true)
| epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_144])])]) ).
fof(c_0_157,plain,
( ( epred13_0
| ~ f2($true)
| f1($true)
| ~ epred16_0 )
& ( epred14_0
| ~ f2($false)
| f1($true)
| ~ epred16_0 )
& ( epred13_0
| f2($true)
| f1($false)
| ~ epred16_0 )
& ( epred14_0
| f2($false)
| f1($false)
| ~ epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ f2($false)
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ f2($true)
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ f1($false)
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| f2($false)
| ~ epred13_0
| epred16_0 )
& ( ~ f2($false)
| ~ epred13_0
| f2($false)
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ f2($true)
| f2($false)
| ~ epred13_0
| epred16_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred13_0
| epred16_0 )
& ( ~ f1($false)
| f2($false)
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| f2($true)
| epred16_0 )
& ( ~ f2($false)
| ~ epred13_0
| ~ epred14_0
| f2($true)
| epred16_0 )
& ( ~ epred14_0
| ~ f2($true)
| ~ epred14_0
| f2($true)
| epred16_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred14_0
| f2($true)
| epred16_0 )
& ( ~ f1($false)
| ~ epred14_0
| f2($true)
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| f2($false)
| f2($true)
| epred16_0 )
& ( ~ f2($false)
| ~ epred13_0
| f2($false)
| f2($true)
| epred16_0 )
& ( ~ epred14_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred16_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred16_0 )
& ( ~ f1($false)
| f2($false)
| f2($true)
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ f1($true)
| epred16_0 )
& ( ~ f2($false)
| ~ epred13_0
| ~ f1($true)
| epred16_0 )
& ( ~ epred14_0
| ~ f2($true)
| ~ f1($true)
| epred16_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ f1($true)
| epred16_0 )
& ( ~ f1($false)
| ~ f1($true)
| epred16_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_145])])]) ).
cnf(c_0_158,plain,
( epred5_0
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_159,plain,
( epred3_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_147]) ).
cnf(c_0_160,plain,
( epred3_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_126]),c_0_148]) ).
cnf(c_0_161,plain,
( epred12_0
| epred1_0
| ~ f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_149]),c_0_128]) ).
cnf(c_0_162,plain,
( epred12_0
| epred11_0
| f4($true)
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
cnf(c_0_163,plain,
( epred12_0
| epred1_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_128]),c_0_154]) ).
fof(c_0_164,plain,
( ( epred3_0
| ~ f2($true)
| f1($true)
| ~ epred6_0 )
& ( epred4_0
| ~ f2($false)
| f1($true)
| ~ epred6_0 )
& ( epred3_0
| f2($true)
| f1($false)
| ~ epred6_0 )
& ( epred4_0
| f2($false)
| f1($false)
| ~ epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ f2($false)
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ f2($true)
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ f1($false)
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| f2($false)
| ~ epred3_0
| epred6_0 )
& ( ~ f2($false)
| ~ epred3_0
| f2($false)
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ f2($true)
| f2($false)
| ~ epred3_0
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred3_0
| epred6_0 )
& ( ~ f1($false)
| f2($false)
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ epred3_0
| ~ epred4_0
| f2($true)
| epred6_0 )
& ( ~ epred4_0
| ~ f2($true)
| ~ epred4_0
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred4_0
| f2($true)
| epred6_0 )
& ( ~ f1($false)
| ~ epred4_0
| f2($true)
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ epred3_0
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ epred4_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ f1($false)
| f2($false)
| f2($true)
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ f1($true)
| epred6_0 )
& ( ~ f2($false)
| ~ epred3_0
| ~ f1($true)
| epred6_0 )
& ( ~ epred4_0
| ~ f2($true)
| ~ f1($true)
| epred6_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ f1($true)
| epred6_0 )
& ( ~ f1($false)
| ~ f1($true)
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_155])])]) ).
fof(c_0_165,plain,
( epred18_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
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( epred15_0
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| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) ) ),
introduced(definition) ).
cnf(c_0_167,plain,
( f2($true)
| epred14_0
| ~ f2($false)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_168,plain,
( epred14_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_169,plain,
( f2($false)
| f2($true)
| epred16_0
| ~ f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_170,plain,
( f1($false)
| f2($false)
| f2($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_171,plain,
( epred14_0
| ~ epred12_0
| ~ f2($true)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_172,plain,
( epred5_0
| ~ epred3_0
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_158]) ).
cnf(c_0_173,plain,
( epred3_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_174,plain,
( epred12_0
| epred11_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_175,plain,
( f2($true)
| epred6_0
| ~ f1($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_176,plain,
( f1($false)
| f2($true)
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
fof(c_0_177,plain,
( epred18_0
<=> ( ( ( ( epred15_0
| ~ f0($true) )
& ( epred16_0
| ~ f0($false) ) )
| f0($true) )
& ( ( ( epred15_0
| f0($true) )
& ( epred16_0
| f0($false) ) )
| f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_165,c_0_166]),c_0_133]),c_0_166]),c_0_133]) ).
cnf(c_0_178,plain,
( epred14_0
| ~ epred12_0
| ~ f2($false) ),
inference(csr,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_179,plain,
( epred16_0
| epred5_0
| f2($false)
| f2($true) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_180,plain,
( epred14_0
| ~ epred12_0
| ~ f2($true) ),
inference(cn,[status(thm)],[c_0_171]) ).
cnf(c_0_181,plain,
( epred11_0
| epred5_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_108]) ).
cnf(c_0_182,plain,
( epred12_0
| epred11_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
fof(c_0_183,plain,
( epred7_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| f1($false) ) )
| ~ f1($false) ) ) ),
introduced(definition) ).
cnf(c_0_184,plain,
( f1($true)
| epred5_0
| ~ epred4_0
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_185,plain,
( epred6_0
| epred3_0
| f2($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_175,c_0_126]) ).
cnf(c_0_186,plain,
( epred5_0
| epred3_0
| f2($true)
| f1($false) ),
inference(spm,[status(thm)],[c_0_176,c_0_126]) ).
fof(c_0_187,plain,
( epred8_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
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introduced(definition) ).
fof(c_0_188,plain,
( epred17_0
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| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ~ x
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& ( x
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| f4($true) )
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| f4($false) ) )
| f4($false) ) )
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| ~ f2($false) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
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| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
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| ~ f4($true) )
& ( ( ( ( ( ~ x
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& ( x
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| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
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| f4($false) ) )
| ~ f4($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
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| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
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| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
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& ( ( ( ~ x
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| f4($false) ) )
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| f2($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| ~ f4($false) ) )
| f3($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| ~ f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ( ( ~ x
| ~ f4($true) )
& ( x
| ~ f4($false) ) )
| f4($true) )
& ( ( ( ~ x
| f4($true) )
& ( x
| f4($false) ) )
| f4($false) ) )
| f4($false) ) )
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| f0($false) ) )
| ~ f0($false) ) ) ),
introduced(definition) ).
fof(c_0_189,plain,
( ( epred15_0
| ~ f0($true)
| f0($true)
| ~ epred18_0 )
& ( epred16_0
| ~ f0($false)
| f0($true)
| ~ epred18_0 )
& ( epred15_0
| f0($true)
| f0($false)
| ~ epred18_0 )
& ( epred16_0
| f0($false)
| f0($false)
| ~ epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ f0($false)
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ f0($true)
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ f0($false)
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| f0($false)
| ~ epred15_0
| epred18_0 )
& ( ~ f0($false)
| ~ epred15_0
| f0($false)
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ f0($true)
| f0($false)
| ~ epred15_0
| epred18_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| ~ epred15_0
| epred18_0 )
& ( ~ f0($false)
| f0($false)
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ epred15_0
| ~ epred16_0
| f0($true)
| epred18_0 )
& ( ~ epred16_0
| ~ f0($true)
| ~ epred16_0
| f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred16_0
| f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ epred16_0
| f0($true)
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| f0($false)
| f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ epred15_0
| f0($false)
| f0($true)
| epred18_0 )
& ( ~ epred16_0
| ~ f0($true)
| f0($false)
| f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| f0($true)
| epred18_0 )
& ( ~ f0($false)
| f0($false)
| f0($true)
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ epred15_0
| ~ f0($true)
| epred18_0 )
& ( ~ epred16_0
| ~ f0($true)
| ~ f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ f0($true)
| epred18_0 )
& ( ~ f0($false)
| ~ f0($true)
| epred18_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_177])])]) ).
cnf(c_0_190,plain,
( epred16_0
| epred14_0
| epred5_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).
cnf(c_0_191,plain,
( epred12_0
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
fof(c_0_192,plain,
( epred7_0
<=> ( ( ( ( epred5_0
| ~ f1($true) )
& ( epred6_0
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( epred5_0
| f1($true) )
& ( epred6_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_183,c_0_125]),c_0_143]),c_0_125]),c_0_143]) ).
cnf(c_0_193,plain,
( epred5_0
| epred3_0
| f1($true)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_184,c_0_126]) ).
cnf(c_0_194,plain,
( epred6_0
| epred5_0
| epred3_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
fof(c_0_195,negated_conjecture,
~ ( ( ( epred7_0
| f0($true) )
& ( epred8_0
| f0($false) ) )
<=> ( ( epred17_0
| f0($true) )
& ( epred18_0
| f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski5])]),c_0_183]),c_0_187]),c_0_188]),c_0_165]) ).
cnf(c_0_196,plain,
( epred18_0
| ~ epred16_0
| ~ f0($true)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_197,plain,
( f2($true)
| epred16_0
| ~ f1($false)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_198,plain,
( epred16_0
| epred14_0
| epred11_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_199,plain,
( epred11_0
| epred5_0
| f2($true)
| f1($false) ),
inference(spm,[status(thm)],[c_0_176,c_0_108]) ).
fof(c_0_200,plain,
( ( epred5_0
| ~ f1($true)
| ~ f1($true)
| ~ epred7_0 )
& ( epred6_0
| ~ f1($false)
| ~ f1($true)
| ~ epred7_0 )
& ( epred5_0
| f1($true)
| ~ f1($false)
| ~ epred7_0 )
& ( epred6_0
| f1($false)
| ~ f1($false)
| ~ epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ f1($false)
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ f1($true)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( f1($false)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f1($false)
| ~ epred5_0
| epred7_0 )
& ( ~ f1($false)
| ~ epred5_0
| f1($false)
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ f1($true)
| f1($false)
| ~ epred5_0
| epred7_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred5_0
| epred7_0 )
& ( f1($false)
| f1($false)
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| f1($true)
| epred7_0 )
& ( ~ f1($false)
| ~ epred5_0
| ~ epred6_0
| f1($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f1($true)
| ~ epred6_0
| f1($true)
| epred7_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred6_0
| f1($true)
| epred7_0 )
& ( f1($false)
| ~ epred6_0
| f1($true)
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f1($false)
| f1($true)
| epred7_0 )
& ( ~ f1($false)
| ~ epred5_0
| f1($false)
| f1($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred7_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred7_0 )
& ( f1($false)
| f1($false)
| f1($true)
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f1($true)
| epred7_0 )
& ( ~ f1($false)
| ~ epred5_0
| f1($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f1($true)
| f1($true)
| epred7_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($true)
| epred7_0 )
& ( f1($false)
| f1($true)
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_192])])]) ).
fof(c_0_201,plain,
( epred8_0
<=> ( ( ( ( epred5_0
| ~ f1($true) )
& ( epred6_0
| ~ f1($false) ) )
| f1($true) )
& ( ( ( epred5_0
| f1($true) )
& ( epred6_0
| f1($false) ) )
| f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_187,c_0_125]),c_0_143]),c_0_125]),c_0_143]) ).
cnf(c_0_202,plain,
( epred6_0
| ~ epred4_0
| ~ f2($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_203,plain,
( epred6_0
| epred5_0
| epred3_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
fof(c_0_204,negated_conjecture,
( ( ~ epred18_0
| ~ epred17_0
| ~ epred8_0
| ~ epred7_0 )
& ( ~ f0($false)
| ~ epred17_0
| ~ epred8_0
| ~ epred7_0 )
& ( ~ epred18_0
| ~ f0($true)
| ~ epred8_0
| ~ epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred8_0
| ~ epred7_0 )
& ( ~ epred18_0
| ~ epred17_0
| ~ f0($false)
| ~ epred7_0 )
& ( ~ f0($false)
| ~ epred17_0
| ~ f0($false)
| ~ epred7_0 )
& ( ~ epred18_0
| ~ f0($true)
| ~ f0($false)
| ~ epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ f0($false)
| ~ epred7_0 )
& ( ~ epred18_0
| ~ epred17_0
| ~ epred8_0
| ~ f0($true) )
& ( ~ f0($false)
| ~ epred17_0
| ~ epred8_0
| ~ f0($true) )
& ( ~ epred18_0
| ~ f0($true)
| ~ epred8_0
| ~ f0($true) )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred8_0
| ~ f0($true) )
& ( ~ epred18_0
| ~ epred17_0
| ~ f0($false)
| ~ f0($true) )
& ( ~ f0($false)
| ~ epred17_0
| ~ f0($false)
| ~ f0($true) )
& ( ~ epred18_0
| ~ f0($true)
| ~ f0($false)
| ~ f0($true) )
& ( ~ f0($false)
| ~ f0($true)
| ~ f0($false)
| ~ f0($true) )
& ( epred17_0
| f0($true)
| epred7_0
| f0($true) )
& ( epred18_0
| f0($false)
| epred7_0
| f0($true) )
& ( epred17_0
| f0($true)
| epred8_0
| f0($false) )
& ( epred18_0
| f0($false)
| epred8_0
| f0($false) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_195])])]) ).
cnf(c_0_205,plain,
( f0($true)
| epred18_0
| ~ f0($false)
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_206,plain,
( epred18_0
| ~ epred16_0
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_196]) ).
cnf(c_0_207,plain,
( epred11_0
| epred5_0
| f1($true)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_184,c_0_108]) ).
cnf(c_0_208,plain,
( epred16_0
| epred11_0
| epred5_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_209,plain,
( epred5_0
| ~ f1($true)
| ~ f1($true)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
fof(c_0_210,plain,
( ( epred5_0
| ~ f1($true)
| f1($true)
| ~ epred8_0 )
& ( epred6_0
| ~ f1($false)
| f1($true)
| ~ epred8_0 )
& ( epred5_0
| f1($true)
| f1($false)
| ~ epred8_0 )
& ( epred6_0
| f1($false)
| f1($false)
| ~ epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ f1($true)
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| f1($false)
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| ~ epred5_0
| f1($false)
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ f1($true)
| f1($false)
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred5_0
| epred8_0 )
& ( ~ f1($false)
| f1($false)
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ epred5_0
| ~ epred6_0
| f1($true)
| epred8_0 )
& ( ~ epred6_0
| ~ f1($true)
| ~ epred6_0
| f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred6_0
| f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ epred6_0
| f1($true)
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| f1($false)
| f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ epred5_0
| f1($false)
| f1($true)
| epred8_0 )
& ( ~ epred6_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred8_0 )
& ( ~ f1($false)
| f1($false)
| f1($true)
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ epred5_0
| ~ f1($true)
| epred8_0 )
& ( ~ epred6_0
| ~ f1($true)
| ~ f1($true)
| epred8_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ f1($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_201])])]) ).
cnf(c_0_211,plain,
( f2($false)
| epred6_0
| ~ f1($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_212,plain,
( epred6_0
| epred5_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_194]),c_0_126]) ).
cnf(c_0_213,negated_conjecture,
( ~ epred18_0
| ~ f0($true)
| ~ epred8_0
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_214,negated_conjecture,
( epred17_0
| f0($true)
| epred7_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_215,plain,
( epred18_0
| ~ epred16_0
| ~ f0($false) ),
inference(csr,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_216,negated_conjecture,
( epred18_0
| f0($false)
| epred7_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_217,plain,
( epred16_0
| ~ epred14_0
| ~ f2($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_218,plain,
( epred16_0
| epred11_0
| epred5_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_219,plain,
( epred5_0
| f1($true)
| ~ f1($false)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_220,plain,
( f1($false)
| f1($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_221,plain,
( epred5_0
| ~ epred7_0
| ~ f1($true) ),
inference(cn,[status(thm)],[c_0_209]) ).
cnf(c_0_222,plain,
( epred8_0
| ~ epred6_0
| ~ f1($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_223,plain,
( f1($true)
| epred5_0
| ~ f2($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_224,plain,
( f1($false)
| f2($false)
| epred5_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_225,plain,
( epred6_0
| epred5_0
| f2($false)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
fof(c_0_226,plain,
( epred17_0
<=> ( ( ( ( epred15_0
| ~ f0($true) )
& ( epred16_0
| ~ f0($false) ) )
| ~ f0($true) )
& ( ( ( epred15_0
| f0($true) )
& ( epred16_0
| f0($false) ) )
| ~ f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_188,c_0_166]),c_0_133]),c_0_166]),c_0_133]) ).
cnf(c_0_227,negated_conjecture,
( ~ epred8_0
| ~ epred18_0
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_213]) ).
cnf(c_0_228,negated_conjecture,
( epred7_0
| epred17_0
| f0($true) ),
inference(cn,[status(thm)],[c_0_214]) ).
cnf(c_0_229,negated_conjecture,
( epred18_0
| epred7_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_206]) ).
cnf(c_0_230,plain,
( epred16_0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_208]),c_0_198]) ).
cnf(c_0_231,plain,
( epred5_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_219,c_0_220]),c_0_221]) ).
cnf(c_0_232,plain,
( f1($true)
| epred8_0
| ~ f1($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_233,plain,
( epred8_0
| ~ epred6_0
| ~ f1($true) ),
inference(cn,[status(thm)],[c_0_222]) ).
cnf(c_0_234,plain,
( epred8_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_235,plain,
( epred6_0
| epred5_0
| f1($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_223,c_0_212]) ).
cnf(c_0_236,plain,
( epred6_0
| epred5_0
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_212]),c_0_225]) ).
fof(c_0_237,plain,
( ( epred15_0
| ~ f0($true)
| ~ f0($true)
| ~ epred17_0 )
& ( epred16_0
| ~ f0($false)
| ~ f0($true)
| ~ epred17_0 )
& ( epred15_0
| f0($true)
| ~ f0($false)
| ~ epred17_0 )
& ( epred16_0
| f0($false)
| ~ f0($false)
| ~ epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ f0($false)
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ f0($true)
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( f0($false)
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| f0($false)
| ~ epred15_0
| epred17_0 )
& ( ~ f0($false)
| ~ epred15_0
| f0($false)
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ f0($true)
| f0($false)
| ~ epred15_0
| epred17_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| ~ epred15_0
| epred17_0 )
& ( f0($false)
| f0($false)
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| f0($true)
| epred17_0 )
& ( ~ f0($false)
| ~ epred15_0
| ~ epred16_0
| f0($true)
| epred17_0 )
& ( ~ epred16_0
| ~ f0($true)
| ~ epred16_0
| f0($true)
| epred17_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred16_0
| f0($true)
| epred17_0 )
& ( f0($false)
| ~ epred16_0
| f0($true)
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| f0($false)
| f0($true)
| epred17_0 )
& ( ~ f0($false)
| ~ epred15_0
| f0($false)
| f0($true)
| epred17_0 )
& ( ~ epred16_0
| ~ f0($true)
| f0($false)
| f0($true)
| epred17_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| f0($true)
| epred17_0 )
& ( f0($false)
| f0($false)
| f0($true)
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| f0($true)
| epred17_0 )
& ( ~ f0($false)
| ~ epred15_0
| f0($true)
| epred17_0 )
& ( ~ epred16_0
| ~ f0($true)
| f0($true)
| epred17_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($true)
| epred17_0 )
& ( f0($false)
| f0($true)
| epred17_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_226])])]) ).
cnf(c_0_238,negated_conjecture,
( ~ f0($false)
| ~ f0($true)
| ~ f0($false)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_239,negated_conjecture,
( epred17_0
| epred7_0
| ~ epred18_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_240,negated_conjecture,
( epred18_0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_241,plain,
( epred8_0
| ~ epred6_0
| ~ f1($false) ),
inference(csr,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_242,plain,
( epred8_0
| ~ epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_234]) ).
cnf(c_0_243,plain,
( epred6_0
| ~ f2($false)
| ~ epred3_0
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_244,plain,
( epred6_0
| epred5_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_245,plain,
( epred12_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_149]),c_0_163]),c_0_154]) ).
fof(c_0_246,plain,
( epred13_0
<=> ( ( ( ( epred11_0
| ~ f2($true) )
& ( epred12_0
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( epred11_0
| f2($true) )
& ( epred12_0
| f2($false) ) )
| ~ f2($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_134,c_0_23]),c_0_76]),c_0_23]),c_0_76]) ).
cnf(c_0_247,plain,
( epred15_0
| f0($true)
| ~ f0($false)
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_248,negated_conjecture,
( ~ f0($true)
| ~ f0($false) ),
inference(cn,[status(thm)],[c_0_238]) ).
cnf(c_0_249,plain,
( epred15_0
| f0($true)
| f0($false)
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_250,negated_conjecture,
( epred17_0
| epred11_0
| epred5_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_231]) ).
cnf(c_0_251,plain,
( epred8_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_220]),c_0_233]),c_0_242]) ).
cnf(c_0_252,plain,
( epred6_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_236]),c_0_212]) ).
cnf(c_0_253,plain,
( epred12_0
| epred11_0
| epred9_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_59,c_0_245]) ).
cnf(c_0_254,plain,
( epred12_0
| epred11_0
| epred9_0
| f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_56]),c_0_64]) ).
fof(c_0_255,plain,
( ( epred11_0
| ~ f2($true)
| ~ f2($true)
| ~ epred13_0 )
& ( epred12_0
| ~ f2($false)
| ~ f2($true)
| ~ epred13_0 )
& ( epred11_0
| f2($true)
| ~ f2($false)
| ~ epred13_0 )
& ( epred12_0
| f2($false)
| ~ f2($false)
| ~ epred13_0 )
& ( ~ epred12_0
| ~ epred11_0
| ~ epred12_0
| ~ epred11_0
| epred13_0 )
& ( ~ f2($false)
| ~ epred11_0
| ~ epred12_0
| ~ epred11_0
| epred13_0 )
& ( ~ epred12_0
| ~ f2($true)
| ~ epred12_0
| ~ epred11_0
| epred13_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred12_0
| ~ epred11_0
| epred13_0 )
& ( f2($false)
| ~ epred12_0
| ~ epred11_0
| epred13_0 )
& ( ~ epred12_0
| ~ epred11_0
| f2($false)
| ~ epred11_0
| epred13_0 )
& ( ~ f2($false)
| ~ epred11_0
| f2($false)
| ~ epred11_0
| epred13_0 )
& ( ~ epred12_0
| ~ f2($true)
| f2($false)
| ~ epred11_0
| epred13_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred11_0
| epred13_0 )
& ( f2($false)
| f2($false)
| ~ epred11_0
| epred13_0 )
& ( ~ epred12_0
| ~ epred11_0
| ~ epred12_0
| f2($true)
| epred13_0 )
& ( ~ f2($false)
| ~ epred11_0
| ~ epred12_0
| f2($true)
| epred13_0 )
& ( ~ epred12_0
| ~ f2($true)
| ~ epred12_0
| f2($true)
| epred13_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred12_0
| f2($true)
| epred13_0 )
& ( f2($false)
| ~ epred12_0
| f2($true)
| epred13_0 )
& ( ~ epred12_0
| ~ epred11_0
| f2($false)
| f2($true)
| epred13_0 )
& ( ~ f2($false)
| ~ epred11_0
| f2($false)
| f2($true)
| epred13_0 )
& ( ~ epred12_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred13_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred13_0 )
& ( f2($false)
| f2($false)
| f2($true)
| epred13_0 )
& ( ~ epred12_0
| ~ epred11_0
| f2($true)
| epred13_0 )
& ( ~ f2($false)
| ~ epred11_0
| f2($true)
| epred13_0 )
& ( ~ epred12_0
| ~ f2($true)
| f2($true)
| epred13_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($true)
| epred13_0 )
& ( f2($false)
| f2($true)
| epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_246])])]) ).
fof(c_0_256,plain,
( epred15_0
<=> ( ( ( ( epred13_0
| ~ f2($true) )
& ( epred14_0
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( epred13_0
| f2($true) )
& ( epred14_0
| f2($false) ) )
| ~ f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_166,c_0_134]),c_0_132]),c_0_134]),c_0_132]) ).
cnf(c_0_257,plain,
( epred15_0
| ~ f0($true)
| ~ f0($true)
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_258,plain,
( epred15_0
| ~ epred17_0
| ~ f0($false) ),
inference(csr,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_259,plain,
( epred15_0
| epred11_0
| epred5_0
| f0($false)
| f0($true) ),
inference(spm,[status(thm)],[c_0_249,c_0_240]) ).
cnf(c_0_260,plain,
( epred17_0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]) ).
cnf(c_0_261,plain,
( epred12_0
| epred11_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_253]),c_0_254]) ).
cnf(c_0_262,plain,
( f2($false)
| f2($false)
| epred13_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
fof(c_0_263,plain,
( ( epred13_0
| ~ f2($true)
| ~ f1($true)
| ~ epred15_0 )
& ( epred14_0
| ~ f2($false)
| ~ f1($true)
| ~ epred15_0 )
& ( epred13_0
| f2($true)
| ~ f1($false)
| ~ epred15_0 )
& ( epred14_0
| f2($false)
| ~ f1($false)
| ~ epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ f2($false)
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ f2($true)
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( f1($false)
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| f2($false)
| ~ epred13_0
| epred15_0 )
& ( ~ f2($false)
| ~ epred13_0
| f2($false)
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ f2($true)
| f2($false)
| ~ epred13_0
| epred15_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred13_0
| epred15_0 )
& ( f1($false)
| f2($false)
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| f2($true)
| epred15_0 )
& ( ~ f2($false)
| ~ epred13_0
| ~ epred14_0
| f2($true)
| epred15_0 )
& ( ~ epred14_0
| ~ f2($true)
| ~ epred14_0
| f2($true)
| epred15_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred14_0
| f2($true)
| epred15_0 )
& ( f1($false)
| ~ epred14_0
| f2($true)
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| f2($false)
| f2($true)
| epred15_0 )
& ( ~ f2($false)
| ~ epred13_0
| f2($false)
| f2($true)
| epred15_0 )
& ( ~ epred14_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred15_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred15_0 )
& ( f1($false)
| f2($false)
| f2($true)
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| f1($true)
| epred15_0 )
& ( ~ f2($false)
| ~ epred13_0
| f1($true)
| epred15_0 )
& ( ~ epred14_0
| ~ f2($true)
| f1($true)
| epred15_0 )
& ( ~ f2($false)
| ~ f2($true)
| f1($true)
| epred15_0 )
& ( f1($false)
| f1($true)
| epred15_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_256])])]) ).
cnf(c_0_264,plain,
( epred15_0
| ~ epred17_0
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_257]) ).
cnf(c_0_265,plain,
( epred15_0
| epred11_0
| epred5_0
| f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).
cnf(c_0_266,plain,
( epred12_0
| epred11_0
| f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_261]),c_0_140]) ).
cnf(c_0_267,plain,
( f2($true)
| epred13_0
| ~ f2($false)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_268,plain,
( epred13_0
| f2($false)
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_262]) ).
cnf(c_0_269,plain,
( epred14_0
| f2($false)
| ~ f1($false)
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_270,plain,
( epred15_0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_260]) ).
cnf(c_0_271,plain,
( epred12_0
| epred11_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_141,c_0_266]) ).
cnf(c_0_272,plain,
( epred13_0
| f2($true)
| ~ f1($false)
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_273,plain,
( epred13_0
| f2($true)
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_274,plain,
( epred14_0
| f2($false)
| f1($false)
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_275,plain,
( epred14_0
| epred11_0
| epred5_0
| f2($false)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_276,plain,
( epred12_0
| epred11_0
| ~ f4($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_261]),c_0_271]) ).
cnf(c_0_277,plain,
( epred13_0
| epred5_0
| f2($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_270]),c_0_199]),c_0_273]) ).
cnf(c_0_278,plain,
( epred11_0
| ~ f2($true)
| ~ f2($true)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_279,plain,
( epred14_0
| epred11_0
| epred5_0
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_230]),c_0_275]) ).
cnf(c_0_280,plain,
( epred12_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_261]),c_0_266]),c_0_276]) ).
cnf(c_0_281,plain,
( epred13_0
| ~ f2($true)
| ~ f1($true)
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_282,plain,
( epred13_0
| epred5_0
| epred3_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_193,c_0_277]) ).
cnf(c_0_283,plain,
( epred11_0
| f2($true)
| ~ f2($false)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_284,plain,
( epred11_0
| ~ epred13_0
| ~ f2($true) ),
inference(cn,[status(thm)],[c_0_278]) ).
cnf(c_0_285,plain,
( epred11_0
| f2($true)
| f2($false)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_286,plain,
( epred14_0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_279]),c_0_280]) ).
cnf(c_0_287,plain,
( epred13_0
| epred5_0
| epred3_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_277]) ).
cnf(c_0_288,plain,
( epred11_0
| ~ epred13_0
| ~ f2($false) ),
inference(csr,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_289,plain,
( epred11_0
| epred5_0
| f2($false)
| f2($true) ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_290,plain,
( epred13_0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_270]),c_0_181]) ).
cnf(c_0_291,plain,
( epred11_0
| epred5_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_290]) ).
cnf(c_0_292,plain,
( f1($true)
| epred5_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_293,plain,
( epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_291]),c_0_290]) ).
cnf(c_0_294,plain,
( epred13_0
| epred5_0
| f1($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_292,c_0_277]) ).
cnf(c_0_295,plain,
( epred13_0
| epred5_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_268,c_0_293]) ).
cnf(c_0_296,plain,
( epred13_0
| epred5_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_297,plain,
( epred14_0
| epred13_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_295]),c_0_277]) ).
cnf(c_0_298,plain,
( epred12_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_245]) ).
cnf(c_0_299,plain,
( f2($false)
| epred16_0
| ~ f1($false)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_300,plain,
( epred16_0
| epred13_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_296]),c_0_277]),c_0_297]) ).
cnf(c_0_301,plain,
( epred12_0
| epred5_0
| f1($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_223,c_0_298]) ).
cnf(c_0_302,plain,
( epred16_0
| epred5_0
| f2($false)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_303,plain,
( epred12_0
| epred5_0
| f2($false)
| f1($false) ),
inference(spm,[status(thm)],[c_0_224,c_0_298]) ).
cnf(c_0_304,plain,
( epred16_0
| ~ f2($false)
| ~ epred13_0
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_305,plain,
( epred16_0
| epred12_0
| epred5_0
| f2($true)
| f1($true) ),
inference(spm,[status(thm)],[c_0_301,c_0_179]) ).
cnf(c_0_306,plain,
( epred12_0
| ~ f2($false)
| ~ f2($true)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_307,plain,
( epred16_0
| epred12_0
| epred5_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_308,plain,
( epred16_0
| epred12_0
| epred5_0
| f2($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_179]),c_0_277]) ).
cnf(c_0_309,plain,
( epred16_0
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]),c_0_300]) ).
cnf(c_0_310,negated_conjecture,
( epred18_0
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_309]),c_0_231]) ).
cnf(c_0_311,negated_conjecture,
( epred17_0
| epred12_0
| epred5_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_310]),c_0_231]) ).
cnf(c_0_312,plain,
( epred15_0
| ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_313,plain,
( epred14_0
| ~ epred12_0
| ~ epred11_0
| ~ epred12_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_314,plain,
( epred13_0
| ~ epred12_0
| ~ epred11_0
| ~ epred12_0
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_315,plain,
( epred15_0
| epred12_0
| epred5_0
| f0($false)
| f0($true) ),
inference(spm,[status(thm)],[c_0_249,c_0_310]) ).
cnf(c_0_316,plain,
( epred17_0
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_251]),c_0_252]) ).
cnf(c_0_317,plain,
( epred15_0
| ~ epred13_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_312]) ).
cnf(c_0_318,plain,
( epred14_0
| ~ epred11_0
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_313]) ).
cnf(c_0_319,plain,
( epred13_0
| ~ epred11_0
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_314]) ).
cnf(c_0_320,plain,
( epred15_0
| epred12_0
| epred5_0
| f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_315]),c_0_316]) ).
cnf(c_0_321,plain,
( epred15_0
| ~ epred12_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).
cnf(c_0_322,plain,
( epred15_0
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_320]),c_0_316]) ).
cnf(c_0_323,plain,
( epred15_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_293]) ).
cnf(c_0_324,plain,
( epred12_0
| f2($false)
| f2($false)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_325,plain,
( epred14_0
| epred5_0
| f2($false)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_269,c_0_323]) ).
cnf(c_0_326,plain,
( epred12_0
| f2($false)
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_324]) ).
cnf(c_0_327,plain,
( epred12_0
| epred5_0
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_303]),c_0_326]) ).
cnf(c_0_328,plain,
( epred13_0
| epred5_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_296]),c_0_277]) ).
cnf(c_0_329,plain,
( epred12_0
| f2($true)
| ~ f2($false)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_330,plain,
( epred14_0
| ~ f2($false)
| ~ f1($true)
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_331,plain,
( epred12_0
| epred5_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_301,c_0_327]) ).
cnf(c_0_332,plain,
( epred13_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_323]) ).
cnf(c_0_333,plain,
( epred12_0
| f2($true)
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_329,c_0_326]) ).
cnf(c_0_334,plain,
( epred14_0
| epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_327]),c_0_323]) ).
cnf(c_0_335,plain,
( epred12_0
| epred5_0
| ~ f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_327]),c_0_332]) ).
cnf(c_0_336,plain,
( epred10_0
| f4($false)
| ~ f3($false)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_337,plain,
( epred10_0
| f3($true)
| ~ f4($false)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_338,plain,
( epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335]) ).
cnf(c_0_339,plain,
( epred10_0
| f4($false)
| f3($false)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_340,plain,
( epred10_0
| epred5_0
| f4($false)
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_336,c_0_293]) ).
cnf(c_0_341,plain,
( epred9_0
| f4($true)
| ~ f3($false)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_342,plain,
( x
| f4($false)
| f4($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_343,plain,
( epred10_0
| epred5_0
| f3($true)
| ~ f4($false) ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_344,plain,
( epred10_0
| epred5_0
| f4($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_338]),c_0_340]) ).
cnf(c_0_345,plain,
( epred9_0
| f4($true)
| f3($false)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_346,plain,
( epred9_0
| epred5_0
| f4($true)
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_341,c_0_293]) ).
cnf(c_0_347,plain,
( x
| f4($true)
| ~ f4($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_348,plain,
( x
| f4($false)
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_342]) ).
cnf(c_0_349,plain,
( epred10_0
| ~ f4($false)
| ~ f3($true)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_350,plain,
( epred10_0
| epred5_0
| f3($true) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_351,plain,
( epred9_0
| epred5_0
| f3($true)
| ~ f4($true) ),
inference(spm,[status(thm)],[c_0_107,c_0_338]) ).
cnf(c_0_352,plain,
( epred9_0
| epred5_0
| f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_338]),c_0_346]) ).
cnf(c_0_353,plain,
( f4($true)
| f4($false)
| ~ x
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_354,plain,
( f4($true)
| x
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_355,plain,
( epred10_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_344]),c_0_350]),c_0_293]) ).
cnf(c_0_356,plain,
( epred9_0
| ~ f4($true)
| ~ f3($true)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_357,plain,
( epred9_0
| epred5_0
| f3($true) ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_358,plain,
( f4($false)
| f4($true)
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_359,plain,
( epred5_0
| f4($false)
| x ),
inference(spm,[status(thm)],[c_0_348,c_0_355]) ).
cnf(c_0_360,plain,
( epred5_0
| f4($true)
| x ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_361,plain,
( epred9_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_352]),c_0_357]),c_0_293]) ).
cnf(c_0_362,plain,
( epred5_0
| f4($false)
| f4($true) ),
inference(spm,[status(thm)],[c_0_358,c_0_355]) ).
cnf(c_0_363,plain,
( epred5_0
| x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_359]),c_0_360]),c_0_361]) ).
cnf(c_0_364,plain,
( epred5_0
| f4($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_362]),c_0_363]),c_0_361]) ).
cnf(c_0_365,plain,
( epred3_0
| f2($true)
| ~ f1($false)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_366,plain,
epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_364]),c_0_363]),c_0_361]) ).
cnf(c_0_367,plain,
( epred3_0
| f2($true)
| ~ f1($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_366])]) ).
cnf(c_0_368,plain,
( f1($false)
| f2($false)
| f2($true)
| epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_369,plain,
( epred15_0
| epred3_0
| f2($false)
| f2($true) ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_370,plain,
( f2($false)
| f2($true)
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_371,plain,
( epred15_0
| epred14_0
| epred3_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_369]),c_0_298]) ).
cnf(c_0_372,plain,
( f1($false)
| f1($true)
| epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_373,plain,
( epred14_0
| epred13_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_370]),c_0_180]) ).
cnf(c_0_374,plain,
( epred1_0
| ~ f3($true)
| ~ f3($true)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_375,plain,
( epred3_0
| ~ f2($true)
| ~ f1($true)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_376,plain,
( f1($true)
| epred15_0
| ~ epred14_0
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_377,plain,
( epred15_0
| epred14_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_371]),c_0_298]) ).
cnf(c_0_378,plain,
( epred15_0
| epred3_0
| f2($true)
| f1($true) ),
inference(spm,[status(thm)],[c_0_367,c_0_372]) ).
cnf(c_0_379,plain,
( f1($false)
| f2($true)
| epred15_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_380,plain,
( epred14_0
| epred13_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_280]) ).
cnf(c_0_381,plain,
( epred1_0
| f3($true)
| ~ f3($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_382,plain,
( epred1_0
| ~ epred3_0
| ~ f3($true) ),
inference(cn,[status(thm)],[c_0_374]) ).
cnf(c_0_383,plain,
( epred3_0
| ~ f2($true)
| ~ f1($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_366])]) ).
cnf(c_0_384,plain,
( epred15_0
| epred3_0
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]) ).
cnf(c_0_385,plain,
( epred15_0
| epred13_0
| f2($true)
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_273]) ).
cnf(c_0_386,plain,
( epred1_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_381,c_0_9]),c_0_382]) ).
cnf(c_0_387,plain,
( epred15_0
| epred3_0
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_388,plain,
( epred15_0
| epred13_0
| epred3_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_367,c_0_385]) ).
cnf(c_0_389,plain,
( epred15_0
| epred3_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_317,c_0_377]) ).
cnf(c_0_390,plain,
( epred9_0
| x
| ~ epred3_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_55,c_0_386]) ).
cnf(c_0_391,plain,
( epred15_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_389]) ).
cnf(c_0_392,plain,
( f3($true)
| ~ x
| ~ f4($true)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_393,plain,
( ~ epred1_0
| ~ f3($true)
| ~ f3($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_53,c_0_82]) ).
cnf(c_0_394,plain,
( epred11_0
| epred9_0
| f3($false)
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_59,c_0_386]) ).
cnf(c_0_395,plain,
( epred15_0
| epred9_0
| x
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_396,plain,
( ~ epred2_0
| ~ epred1_0
| ~ f3($false)
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_82]),c_0_393]) ).
cnf(c_0_397,plain,
( epred15_0
| epred11_0
| epred9_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_394,c_0_391]) ).
cnf(c_0_398,plain,
( epred15_0
| epred11_0
| epred9_0
| x ),
inference(spm,[status(thm)],[c_0_395,c_0_67]) ).
cnf(c_0_399,plain,
( epred11_0
| f3($false)
| x
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_129]),c_0_56]) ).
cnf(c_0_400,plain,
( epred15_0
| epred11_0
| epred9_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_398]),c_0_124]) ).
cnf(c_0_401,plain,
( epred11_0
| f3($false)
| x
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_386]) ).
cnf(c_0_402,plain,
( epred15_0
| epred11_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_386]),c_0_391]) ).
cnf(c_0_403,plain,
( epred15_0
| epred11_0
| f3($false)
| x ),
inference(spm,[status(thm)],[c_0_401,c_0_391]) ).
cnf(c_0_404,plain,
( f4($false)
| x
| ~ epred3_0
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_87,c_0_386]) ).
cnf(c_0_405,plain,
( epred15_0
| epred11_0
| f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_402]),c_0_403]) ).
cnf(c_0_406,plain,
( epred15_0
| f4($false)
| x
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_404,c_0_391]) ).
cnf(c_0_407,plain,
( epred15_0
| epred11_0
| ~ epred1_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_405]),c_0_124]) ).
cnf(c_0_408,plain,
( epred15_0
| epred11_0
| f3($true)
| ~ f4($false) ),
inference(spm,[status(thm)],[c_0_92,c_0_402]) ).
cnf(c_0_409,plain,
( epred15_0
| epred11_0
| f4($false)
| x ),
inference(spm,[status(thm)],[c_0_406,c_0_405]) ).
cnf(c_0_410,plain,
( epred15_0
| epred11_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_386]),c_0_391]) ).
cnf(c_0_411,plain,
( f1($false)
| f1($false)
| epred7_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_412,plain,
( epred15_0
| epred11_0
| f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_410]) ).
cnf(c_0_413,plain,
( f1($true)
| epred7_0
| ~ f1($false)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_414,plain,
( epred7_0
| f1($false)
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_411]) ).
cnf(c_0_415,plain,
( epred7_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_416,plain,
( f0($false)
| f0($false)
| epred17_0
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_417,plain,
( epred15_0
| epred11_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_409]),c_0_412]),c_0_410]) ).
cnf(c_0_418,negated_conjecture,
( ~ f0($false)
| ~ epred17_0
| ~ f0($false)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_419,negated_conjecture,
( epred18_0
| f0($false)
| epred8_0
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_420,plain,
( epred7_0
| f1($true)
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_421,plain,
( epred7_0
| ~ epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_415]) ).
cnf(c_0_422,plain,
( epred17_0
| f0($false)
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_416]) ).
cnf(c_0_423,plain,
( epred15_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_386]),c_0_391]) ).
cnf(c_0_424,negated_conjecture,
( ~ epred7_0
| ~ epred17_0
| ~ f0($false) ),
inference(cn,[status(thm)],[c_0_418]) ).
cnf(c_0_425,negated_conjecture,
( epred8_0
| epred18_0
| f0($false) ),
inference(cn,[status(thm)],[c_0_419]) ).
cnf(c_0_426,plain,
( epred6_0
| ~ f1($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_427,plain,
( epred7_0
| f1($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_366])]) ).
cnf(c_0_428,plain,
( epred7_0
| f1($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_366])]) ).
cnf(c_0_429,plain,
( epred7_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_421,c_0_366])]) ).
cnf(c_0_430,plain,
( f0($true)
| epred17_0
| ~ f0($false)
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_431,plain,
( epred17_0
| epred11_0
| f0($false) ),
inference(spm,[status(thm)],[c_0_422,c_0_423]) ).
cnf(c_0_432,negated_conjecture,
( epred18_0
| epred8_0
| ~ epred17_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
cnf(c_0_433,plain,
epred7_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_428]),c_0_429]) ).
cnf(c_0_434,plain,
( epred17_0
| f0($true)
| ~ epred15_0 ),
inference(csr,[status(thm)],[c_0_430,c_0_422]) ).
cnf(c_0_435,negated_conjecture,
( epred17_0
| epred11_0
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_248,c_0_431]) ).
cnf(c_0_436,plain,
( epred16_0
| f0($false)
| f0($false)
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_437,negated_conjecture,
( epred18_0
| epred8_0
| ~ epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_433])]) ).
cnf(c_0_438,plain,
( epred17_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_423]),c_0_435]) ).
cnf(c_0_439,plain,
( epred16_0
| f0($false)
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_436]) ).
cnf(c_0_440,negated_conjecture,
( epred18_0
| epred11_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_441,plain,
( epred6_0
| f1($false)
| f1($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_442,negated_conjecture,
( ~ epred17_0
| ~ f0($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_433])]) ).
cnf(c_0_443,plain,
( epred16_0
| epred11_0
| epred8_0
| f0($false) ),
inference(spm,[status(thm)],[c_0_439,c_0_440]) ).
cnf(c_0_444,plain,
( epred6_0
| f1($false)
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_441]) ).
cnf(c_0_445,negated_conjecture,
( epred16_0
| epred11_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_438]) ).
cnf(c_0_446,plain,
( epred6_0
| f1($true)
| ~ f1($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_447,plain,
( epred16_0
| ~ f1($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_448,plain,
( epred16_0
| epred11_0
| epred6_0
| f1($false) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]) ).
cnf(c_0_449,plain,
( epred6_0
| f1($true)
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_446,c_0_444]) ).
cnf(c_0_450,plain,
( epred16_0
| epred11_0
| epred6_0
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_447,c_0_448]) ).
cnf(c_0_451,plain,
( epred16_0
| epred11_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_445]),c_0_450]) ).
cnf(c_0_452,plain,
( epred14_0
| epred11_0
| f2($false)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_269,c_0_423]) ).
cnf(c_0_453,plain,
( epred13_0
| f1($true)
| ~ f2($true)
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_454,plain,
( epred13_0
| f2($true)
| f1($false)
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_455,plain,
( epred11_0
| epred6_0
| f2($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_175,c_0_108]) ).
cnf(c_0_456,plain,
( epred14_0
| epred11_0
| epred6_0
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_451]),c_0_452]) ).
cnf(c_0_457,plain,
( epred11_0
| epred6_0
| f1($true)
| ~ f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_451]),c_0_284]) ).
cnf(c_0_458,plain,
( epred13_0
| epred6_0
| f2($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_451]),c_0_455]),c_0_273]) ).
cnf(c_0_459,plain,
( epred14_0
| epred11_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_456]),c_0_280]) ).
cnf(c_0_460,plain,
( epred13_0
| epred11_0
| epred6_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_461,plain,
( epred11_0
| epred6_0
| f2($false)
| f2($true) ),
inference(spm,[status(thm)],[c_0_285,c_0_459]) ).
cnf(c_0_462,plain,
( epred13_0
| epred11_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_460]),c_0_458]),c_0_108]) ).
cnf(c_0_463,plain,
( epred11_0
| epred6_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_461]),c_0_462]) ).
cnf(c_0_464,plain,
( epred3_0
| f1($true)
| ~ f2($true)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_465,plain,
( epred11_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_463]),c_0_462]) ).
cnf(c_0_466,plain,
( epred3_0
| f2($true)
| f1($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_467,plain,
( epred11_0
| epred3_0
| ~ f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_383]) ).
cnf(c_0_468,plain,
( epred11_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_465]),c_0_367]),c_0_467]) ).
cnf(c_0_469,plain,
( epred11_0
| epred9_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_394,c_0_468]) ).
cnf(c_0_470,plain,
( epred11_0
| epred9_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_468]),c_0_67]) ).
cnf(c_0_471,plain,
( epred11_0
| epred9_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_469]),c_0_470]),c_0_124]) ).
cnf(c_0_472,plain,
( epred11_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_386]),c_0_468]) ).
cnf(c_0_473,plain,
( epred11_0
| f3($true)
| ~ epred2_0
| ~ epred1_0
| ~ x ),
inference(spm,[status(thm)],[c_0_396,c_0_56]) ).
cnf(c_0_474,plain,
( epred11_0
| f3($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_79,c_0_472]) ).
cnf(c_0_475,plain,
( epred11_0
| f3($true)
| ~ epred1_0
| ~ x ),
inference(spm,[status(thm)],[c_0_473,c_0_124]) ).
cnf(c_0_476,plain,
( epred11_0
| f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_468]),c_0_474]) ).
cnf(c_0_477,plain,
( epred11_0
| f3($true)
| ~ epred3_0
| ~ x ),
inference(spm,[status(thm)],[c_0_475,c_0_386]) ).
cnf(c_0_478,plain,
( epred11_0
| f3($true)
| ~ f4($false) ),
inference(spm,[status(thm)],[c_0_92,c_0_472]) ).
cnf(c_0_479,plain,
( epred11_0
| f4($false)
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_468]),c_0_476]) ).
cnf(c_0_480,plain,
( epred11_0
| f3($true)
| ~ x ),
inference(spm,[status(thm)],[c_0_477,c_0_468]) ).
cnf(c_0_481,plain,
( epred11_0
| f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_479]),c_0_480]) ).
cnf(c_0_482,plain,
( epred11_0
| ~ epred1_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_476]),c_0_124]) ).
cnf(c_0_483,plain,
( epred11_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_479]),c_0_481]),c_0_482]) ).
cnf(c_0_484,plain,
( epred3_0
| f4($false)
| f3($false)
| x ),
inference(spm,[status(thm)],[c_0_123,c_0_160]) ).
cnf(c_0_485,plain,
( f3($false)
| f3($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_486,plain,
( epred10_0
| epred1_0
| f3($false)
| ~ f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_8]),c_0_39]) ).
cnf(c_0_487,plain,
epred11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_386]),c_0_468]) ).
cnf(c_0_488,plain,
( epred10_0
| epred3_0
| f3($false)
| x
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_484]),c_0_485]) ).
cnf(c_0_489,plain,
( epred10_0
| epred1_0
| f3($false)
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_119]),c_0_9]),c_0_486]) ).
cnf(c_0_490,plain,
( epred10_0
| f4($false)
| ~ f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_487])]) ).
cnf(c_0_491,plain,
( epred10_0
| epred3_0
| f3($false)
| x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_488,c_0_487])]) ).
cnf(c_0_492,plain,
( epred10_0
| epred1_0
| f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_489,c_0_487])]) ).
cnf(c_0_493,plain,
( epred3_0
| f3($true)
| x
| ~ f4($false) ),
inference(spm,[status(thm)],[c_0_139,c_0_160]) ).
cnf(c_0_494,plain,
( epred3_0
| f4($false)
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_491]),c_0_348]) ).
cnf(c_0_495,plain,
( epred9_0
| x
| ~ epred11_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_356,c_0_26]) ).
cnf(c_0_496,plain,
( epred10_0
| epred1_0
| f4($false) ),
inference(spm,[status(thm)],[c_0_490,c_0_492]) ).
cnf(c_0_497,plain,
( epred10_0
| ~ f4($false)
| ~ f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_487])]) ).
cnf(c_0_498,plain,
( epred3_0
| f3($true)
| x ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_499,plain,
( epred9_0
| x
| ~ f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_487])]) ).
cnf(c_0_500,plain,
( epred9_0
| epred3_0
| f3($true)
| x ),
inference(spm,[status(thm)],[c_0_493,c_0_18]) ).
cnf(c_0_501,plain,
( epred13_0
| f2($true)
| ~ f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_423]),c_0_273]) ).
cnf(c_0_502,plain,
( epred10_0
| epred1_0
| ~ x ),
inference(spm,[status(thm)],[c_0_32,c_0_496]) ).
cnf(c_0_503,plain,
( epred10_0
| epred3_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_494]),c_0_498]) ).
cnf(c_0_504,plain,
( epred9_0
| epred3_0
| x ),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_505,plain,
( f1($true)
| epred15_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_506,plain,
( epred15_0
| epred13_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_501,c_0_385]) ).
cnf(c_0_507,plain,
( f1($true)
| epred15_0
| ~ f2($false)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_508,plain,
( f4($true)
| f3($false)
| ~ x
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_509,plain,
( epred10_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_503]),c_0_173]) ).
cnf(c_0_510,plain,
( epred3_0
| x
| ~ f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_494]),c_0_504]) ).
cnf(c_0_511,plain,
( epred15_0
| epred6_0
| f2($false)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_211,c_0_391]) ).
cnf(c_0_512,plain,
( epred15_0
| f1($true)
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_506]),c_0_507]) ).
cnf(c_0_513,plain,
( epred3_0
| f4($true)
| f3($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_508,c_0_160]) ).
cnf(c_0_514,plain,
( epred3_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_509]),c_0_510]) ).
cnf(c_0_515,plain,
( epred15_0
| epred6_0
| f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_372]),c_0_512]) ).
cnf(c_0_516,plain,
( epred4_0
| f2($false)
| ~ f1($false)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_517,plain,
( epred3_0
| f4($true)
| f3($false) ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_518,plain,
( epred15_0
| epred6_0
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_515]),c_0_391]) ).
cnf(c_0_519,plain,
( epred13_0
| f2($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_487])]) ).
cnf(c_0_520,plain,
( epred4_0
| f2($false)
| ~ f1($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_516,c_0_366])]) ).
cnf(c_0_521,plain,
( epred10_0
| epred1_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_497,c_0_496]) ).
cnf(c_0_522,plain,
( epred9_0
| ~ f4($true)
| ~ f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_487])]) ).
cnf(c_0_523,plain,
( epred3_0
| f3($false)
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_517]),c_0_514]) ).
cnf(c_0_524,plain,
( epred3_0
| f4($false)
| f4($true) ),
inference(spm,[status(thm)],[c_0_358,c_0_509]) ).
cnf(c_0_525,plain,
( f1($false)
| f2($false)
| epred15_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_526,plain,
( epred15_0
| epred13_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_527,plain,
( epred4_0
| ~ f2($false)
| ~ f1($true)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_528,plain,
( epred15_0
| epred4_0
| f2($true)
| f2($false) ),
inference(spm,[status(thm)],[c_0_520,c_0_368]) ).
cnf(c_0_529,plain,
( epred10_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_496]),c_0_502]),c_0_521]) ).
cnf(c_0_530,plain,
( epred9_0
| f4($true)
| ~ f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_487])]) ).
cnf(c_0_531,plain,
( epred3_0
| f3($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_517]),c_0_485]),c_0_523]) ).
cnf(c_0_532,plain,
( epred3_0
| f4($true)
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_524]),c_0_514]) ).
cnf(c_0_533,plain,
( epred4_0
| f2($false)
| f1($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_534,plain,
( epred15_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_526]),c_0_511]),c_0_518]) ).
cnf(c_0_535,plain,
( epred4_0
| ~ f2($false)
| ~ f1($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_527,c_0_366])]) ).
cnf(c_0_536,plain,
( epred15_0
| epred4_0
| f2($true)
| f1($true) ),
inference(spm,[status(thm)],[c_0_512,c_0_528]) ).
cnf(c_0_537,plain,
( epred1_0
| f4($false)
| x ),
inference(spm,[status(thm)],[c_0_348,c_0_529]) ).
cnf(c_0_538,plain,
( epred1_0
| f4($true)
| x ),
inference(spm,[status(thm)],[c_0_354,c_0_529]) ).
cnf(c_0_539,plain,
( epred9_0
| epred1_0
| x ),
inference(spm,[status(thm)],[c_0_499,c_0_98]) ).
cnf(c_0_540,plain,
( epred3_0
| f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_531]),c_0_532]) ).
cnf(c_0_541,plain,
( epred15_0
| epred4_0
| f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_534]),c_0_520]) ).
cnf(c_0_542,plain,
( epred15_0
| epred4_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_536]),c_0_528]) ).
cnf(c_0_543,plain,
( epred15_0
| epred13_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_512,c_0_519]) ).
cnf(c_0_544,plain,
( epred1_0
| x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_537]),c_0_538]),c_0_539]) ).
cnf(c_0_545,plain,
( epred3_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_540]),c_0_514]) ).
cnf(c_0_546,plain,
( epred15_0
| epred14_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_541]),c_0_542]) ).
cnf(c_0_547,plain,
( epred15_0
| epred13_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_543]),c_0_519]) ).
cnf(c_0_548,plain,
( epred1_0
| f3($true)
| ~ f4($true) ),
inference(spm,[status(thm)],[c_0_51,c_0_544]) ).
cnf(c_0_549,plain,
( epred3_0
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_540]),c_0_545]) ).
cnf(c_0_550,plain,
( epred15_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_546]),c_0_547]) ).
cnf(c_0_551,plain,
epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_540]),c_0_549]),c_0_173]) ).
cnf(c_0_552,plain,
( epred15_0
| epred2_0
| f3($false) ),
inference(spm,[status(thm)],[c_0_103,c_0_550]) ).
cnf(c_0_553,plain,
( epred15_0
| epred2_0
| f3($true) ),
inference(spm,[status(thm)],[c_0_109,c_0_550]) ).
cnf(c_0_554,plain,
epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_551])]) ).
cnf(c_0_555,plain,
( epred15_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_552]),c_0_553]) ).
cnf(c_0_556,plain,
( x
| ~ f4($false)
| ~ f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_554])]) ).
cnf(c_0_557,plain,
( f4($true)
| ~ f3($false)
| ~ x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_554])]) ).
cnf(c_0_558,plain,
( epred15_0
| x
| ~ f4($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_555]),c_0_556]) ).
cnf(c_0_559,plain,
( epred15_0
| f4($true)
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_555]),c_0_557]) ).
cnf(c_0_560,plain,
( epred15_0
| epred9_0
| x ),
inference(spm,[status(thm)],[c_0_558,c_0_18]) ).
cnf(c_0_561,plain,
( f4($false)
| x
| ~ f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_404,c_0_551])]) ).
cnf(c_0_562,plain,
( epred15_0
| epred9_0
| f4($true) ),
inference(spm,[status(thm)],[c_0_559,c_0_560]) ).
cnf(c_0_563,plain,
( epred15_0
| x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_555]),c_0_561]),c_0_558]) ).
cnf(c_0_564,plain,
( epred15_0
| epred9_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_522,c_0_562]) ).
cnf(c_0_565,plain,
( epred15_0
| f4($true) ),
inference(spm,[status(thm)],[c_0_559,c_0_563]) ).
cnf(c_0_566,plain,
( epred15_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_562]),c_0_560]),c_0_555]),c_0_564]) ).
cnf(c_0_567,plain,
epred15_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_565]),c_0_563]),c_0_566]) ).
cnf(c_0_568,plain,
( epred17_0
| f0($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_567])]) ).
cnf(c_0_569,plain,
( epred17_0
| f0($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_567])]) ).
cnf(c_0_570,negated_conjecture,
epred17_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_568]),c_0_569]) ).
cnf(c_0_571,negated_conjecture,
( epred18_0
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_437,c_0_570])]) ).
cnf(c_0_572,negated_conjecture,
~ f0($false),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_570])]) ).
cnf(c_0_573,plain,
( epred16_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_571]),c_0_572]) ).
cnf(c_0_574,plain,
( epred16_0
| epred6_0
| f1($false) ),
inference(spm,[status(thm)],[c_0_444,c_0_573]) ).
cnf(c_0_575,plain,
( epred16_0
| epred6_0
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_447,c_0_574]) ).
cnf(c_0_576,plain,
( epred14_0
| f1($true)
| ~ f2($false)
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_577,plain,
( epred16_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_573]),c_0_575]) ).
cnf(c_0_578,plain,
( epred6_0
| ~ f2($false)
| ~ f1($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_551])]) ).
cnf(c_0_579,plain,
( epred6_0
| f2($false)
| ~ f1($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_551])]) ).
cnf(c_0_580,plain,
( epred14_0
| epred6_0
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_577]),c_0_578]) ).
cnf(c_0_581,plain,
( epred13_0
| f2($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_487])]) ).
cnf(c_0_582,plain,
( epred14_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_577]),c_0_579]),c_0_580]) ).
cnf(c_0_583,plain,
( epred13_0
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_567])]),c_0_581]) ).
cnf(c_0_584,plain,
( epred12_0
| epred6_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_326,c_0_582]) ).
cnf(c_0_585,plain,
( epred13_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_577]),c_0_581]),c_0_583]) ).
cnf(c_0_586,plain,
( epred12_0
| epred6_0
| ~ f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_584]),c_0_585]) ).
cnf(c_0_587,plain,
( epred12_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_582]),c_0_586]) ).
cnf(c_0_588,plain,
( epred9_0
| epred6_0
| ~ f4($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_587]),c_0_522]) ).
cnf(c_0_589,plain,
( epred10_0
| epred6_0
| ~ f4($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_587]),c_0_497]) ).
cnf(c_0_590,plain,
( epred9_0
| epred6_0
| x ),
inference(spm,[status(thm)],[c_0_588,c_0_26]) ).
cnf(c_0_591,plain,
( epred10_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_587]),c_0_490]),c_0_589]) ).
cnf(c_0_592,plain,
( epred9_0
| epred6_0
| ~ f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_557]),c_0_590]) ).
cnf(c_0_593,plain,
( epred6_0
| f4($false)
| x ),
inference(spm,[status(thm)],[c_0_348,c_0_591]) ).
cnf(c_0_594,plain,
( epred6_0
| f4($true)
| x ),
inference(spm,[status(thm)],[c_0_354,c_0_591]) ).
cnf(c_0_595,plain,
( epred9_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_587]),c_0_592]),c_0_588]) ).
cnf(c_0_596,negated_conjecture,
( ~ epred18_0
| ~ epred17_0
| ~ epred8_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_597,plain,
( epred18_0
| ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_598,plain,
( epred17_0
| ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_599,plain,
( epred16_0
| ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_600,plain,
( epred6_0
| f4($false)
| f4($true) ),
inference(spm,[status(thm)],[c_0_358,c_0_591]) ).
cnf(c_0_601,plain,
( epred6_0
| x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_593]),c_0_594]),c_0_595]) ).
cnf(c_0_602,negated_conjecture,
( ~ epred18_0
| ~ epred17_0
| ~ epred6_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_421]),c_0_242]) ).
cnf(c_0_603,plain,
( epred18_0
| ~ epred15_0
| ~ epred16_0 ),
inference(cn,[status(thm)],[c_0_597]) ).
cnf(c_0_604,plain,
( epred17_0
| ~ epred15_0
| ~ epred16_0 ),
inference(cn,[status(thm)],[c_0_598]) ).
cnf(c_0_605,plain,
( epred16_0
| ~ epred13_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_599]) ).
cnf(c_0_606,plain,
( epred6_0
| f4($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_600]),c_0_601]),c_0_595]) ).
cnf(c_0_607,plain,
( ~ epred16_0
| ~ epred15_0
| ~ epred6_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_604]) ).
cnf(c_0_608,plain,
( epred16_0
| ~ epred12_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_318]),c_0_319]) ).
cnf(c_0_609,plain,
( epred4_0
| f1($true)
| ~ f2($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_610,plain,
epred6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_606]),c_0_601]),c_0_595]) ).
cnf(c_0_611,plain,
( ~ epred15_0
| ~ epred12_0
| ~ epred11_0
| ~ epred6_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_612,plain,
( epred4_0
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_609,c_0_610])]),c_0_535]) ).
cnf(c_0_613,plain,
( ~ epred12_0
| ~ epred11_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_611,c_0_366])]),c_0_321]) ).
cnf(c_0_614,plain,
epred4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_610])]),c_0_520]),c_0_612]) ).
cnf(c_0_615,plain,
( ~ epred12_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_613,c_0_487])]) ).
cnf(c_0_616,plain,
( epred2_0
| f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_614])]) ).
cnf(c_0_617,plain,
~ epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_615,c_0_610])]) ).
cnf(c_0_618,plain,
( epred2_0
| f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_614])]) ).
cnf(c_0_619,plain,
( ~ epred2_0
| ~ f3($false)
| ~ x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_554])]) ).
cnf(c_0_620,plain,
epred2_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_616]),c_0_617]),c_0_618]) ).
cnf(c_0_621,plain,
( ~ f4($true)
| ~ f3($true)
| ~ x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_554])]) ).
cnf(c_0_622,plain,
( ~ f3($false)
| ~ x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_619,c_0_620])]) ).
cnf(c_0_623,plain,
( ~ f4($true)
| ~ x ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_620])]),c_0_621]) ).
cnf(c_0_624,plain,
~ x,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_508,c_0_620])]),c_0_622]),c_0_623]) ).
cnf(c_0_625,plain,
( f4($false)
| f3($false) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_620])]),c_0_624]) ).
cnf(c_0_626,plain,
( f3($false)
| ~ f3($true) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_625]),c_0_624]) ).
cnf(c_0_627,plain,
~ f3($true),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_626]),c_0_617]) ).
cnf(c_0_628,plain,
~ f4($false),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_620])]),c_0_627]),c_0_624]) ).
cnf(c_0_629,plain,
f3($false),
inference(sr,[status(thm)],[c_0_625,c_0_628]) ).
cnf(c_0_630,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_561,c_0_629])]),c_0_628]),c_0_624]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO500_8.005 : TPTP v8.2.0. Released v8.0.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 10:48:07 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order model finding
% 0.18/0.45 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
% 0.70/0.58 # Version: 3.1.0
% 0.70/0.58 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.70/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.58 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.70/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.70/0.58 # Starting new_bool_1 with 300s (1) cores
% 0.70/0.58 # Starting sh5l with 300s (1) cores
% 0.70/0.58 # new_bool_3 with pid 22113 completed with status 0
% 0.70/0.58 # Result found by new_bool_3
% 0.70/0.58 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.70/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.58 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.70/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.70/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.70/0.58 # Search class: FGHNF-FSLM00-SFFFFFNN
% 0.70/0.58 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.70/0.58 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 0.70/0.58 # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 22122 completed with status 0
% 0.70/0.58 # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 0.70/0.58 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.70/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.58 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.70/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.70/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.70/0.58 # Search class: FGHNF-FSLM00-SFFFFFNN
% 0.70/0.58 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.70/0.58 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 135s (1) cores
% 0.70/0.58 # Preprocessing time : 0.003 s
% 0.70/0.58 # Presaturation interreduction done
% 0.70/0.58
% 0.70/0.58 # Proof found!
% 0.70/0.58 # SZS status Theorem
% 0.70/0.58 # SZS output start CNFRefutation
% See solution above
% 0.70/0.58 # Parsed axioms : 7
% 0.70/0.58 # Removed by relevancy pruning/SinE : 6
% 0.70/0.58 # Initial clauses : 542
% 0.70/0.58 # Removed in clause preprocessing : 200
% 0.70/0.58 # Initial clauses in saturation : 342
% 0.70/0.58 # Processed clauses : 2019
% 0.70/0.58 # ...of these trivial : 1
% 0.70/0.58 # ...subsumed : 1003
% 0.70/0.58 # ...remaining for further processing : 1015
% 0.70/0.58 # Other redundant clauses eliminated : 0
% 0.70/0.58 # Clauses deleted for lack of memory : 0
% 0.70/0.58 # Backward-subsumed : 588
% 0.70/0.58 # Backward-rewritten : 220
% 0.70/0.58 # Generated clauses : 3649
% 0.70/0.58 # ...of the previous two non-redundant : 3099
% 0.70/0.58 # ...aggressively subsumed : 0
% 0.70/0.58 # Contextual simplify-reflections : 375
% 0.70/0.58 # Paramodulations : 3644
% 0.70/0.58 # Factorizations : 0
% 0.70/0.58 # NegExts : 0
% 0.70/0.58 # Equation resolutions : 0
% 0.70/0.58 # Disequality decompositions : 0
% 0.70/0.58 # Total rewrite steps : 219
% 0.70/0.58 # ...of those cached : 206
% 0.70/0.58 # Propositional unsat checks : 0
% 0.70/0.58 # Propositional check models : 0
% 0.70/0.58 # Propositional check unsatisfiable : 0
% 0.70/0.58 # Propositional clauses : 0
% 0.70/0.58 # Propositional clauses after purity: 0
% 0.70/0.58 # Propositional unsat core size : 0
% 0.70/0.58 # Propositional preprocessing time : 0.000
% 0.70/0.58 # Propositional encoding time : 0.000
% 0.70/0.58 # Propositional solver time : 0.000
% 0.70/0.58 # Success case prop preproc time : 0.000
% 0.70/0.58 # Success case prop encoding time : 0.000
% 0.70/0.58 # Success case prop solver time : 0.000
% 0.70/0.58 # Current number of processed clauses : 41
% 0.70/0.58 # Positive orientable unit clauses : 13
% 0.70/0.58 # Positive unorientable unit clauses: 0
% 0.70/0.58 # Negative unit clauses : 7
% 0.70/0.58 # Non-unit-clauses : 21
% 0.70/0.58 # Current number of unprocessed clauses: 24
% 0.70/0.58 # ...number of literals in the above : 84
% 0.70/0.58 # Current number of archived formulas : 0
% 0.70/0.58 # Current number of archived clauses : 974
% 0.70/0.58 # Clause-clause subsumption calls (NU) : 84829
% 0.70/0.58 # Rec. Clause-clause subsumption calls : 26307
% 0.70/0.58 # Non-unit clause-clause subsumptions : 1924
% 0.70/0.58 # Unit Clause-clause subsumption calls : 1285
% 0.70/0.58 # Rewrite failures with RHS unbound : 0
% 0.70/0.58 # BW rewrite match attempts : 13
% 0.70/0.58 # BW rewrite match successes : 13
% 0.70/0.58 # Condensation attempts : 0
% 0.70/0.58 # Condensation successes : 0
% 0.70/0.58 # Termbank termtop insertions : 82375
% 0.70/0.58 # Search garbage collected termcells : 2927
% 0.70/0.58
% 0.70/0.58 # -------------------------------------------------
% 0.70/0.58 # User time : 0.106 s
% 0.70/0.58 # System time : 0.010 s
% 0.70/0.58 # Total time : 0.116 s
% 0.70/0.58 # Maximum resident set size: 2888 pages
% 0.70/0.58
% 0.70/0.58 # -------------------------------------------------
% 0.70/0.58 # User time : 0.106 s
% 0.70/0.58 # System time : 0.013 s
% 0.70/0.58 # Total time : 0.119 s
% 0.70/0.58 # Maximum resident set size: 2012 pages
% 0.70/0.58 % E---3.1 exiting
%------------------------------------------------------------------------------