%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO500_8.004 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:46:57 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_23,type,
x: $o ).
tff(decl_24,type,
f0: $o > $o ).
tff(decl_25,type,
f1: $o > $o ).
tff(decl_26,type,
f2: $o > $o ).
tff(decl_27,type,
f3: $o > $o ).
tff(decl_28,type,
epred1_0: $o ).
tff(decl_29,type,
epred2_0: $o ).
tff(decl_30,type,
epred3_0: $o ).
tff(decl_31,type,
epred4_0: $o ).
tff(decl_32,type,
epred5_0: $o ).
tff(decl_33,type,
epred6_0: $o ).
tff(decl_34,type,
epred7_0: $o ).
tff(decl_35,type,
epred8_0: $o ).
tff(decl_36,type,
epred9_0: $o ).
tff(decl_37,type,
epred10_0: $o ).
tff(decl_38,type,
epred11_0: $o ).
tff(decl_39,type,
epred12_0: $o ).
tff(decl_40,type,
epred13_0: $o ).
tff(decl_41,type,
epred14_0: $o ).
fof(kaminski4,conjecture,
( f0(f0(f0(f1(f2(f2(f2(f3(x))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(x)))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski4) ).
fof(c_0_1,plain,
( epred8_0
<=> ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred9_0
<=> ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( ( epred8_0
| f3($true)
| f3($false) )
& ( epred8_0
| f3($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| f3($true)
| ~ f3($true)
| ~ x )
& ( epred8_0
| f3($true)
| x
| ~ f3($false) )
& ( epred8_0
| f3($true)
| x
| ~ x )
& ( epred8_0
| f3($true)
| f3($false)
| f3($false) )
& ( epred8_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred8_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred8_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred8_0
| f3($true)
| ~ x
| f3($false) )
& ( epred8_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred8_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred8_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred8_0
| x
| f3($false)
| f3($false) )
& ( epred8_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred8_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred8_0
| x
| f3($false)
| x
| ~ x )
& ( epred8_0
| x
| ~ x
| f3($false) )
& ( epred8_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred8_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred8_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred8_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred8_0
| ~ f3($false)
| f3($false)
| x )
& ( ~ epred8_0
| ~ f3($false)
| f3($true)
| ~ x )
& ( ~ epred8_0
| ~ f3($true)
| ~ f3($false)
| x )
& ( ~ epred8_0
| ~ f3($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
fof(c_0_4,plain,
( ( epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| ~ f3($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| ~ f3($true)
| ~ f3($true)
| ~ x )
& ( epred9_0
| ~ f3($true)
| x
| ~ f3($false) )
& ( epred9_0
| ~ f3($true)
| x
| ~ x )
& ( epred9_0
| f3($true)
| f3($false)
| ~ f3($false) )
& ( epred9_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred9_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred9_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred9_0
| f3($true)
| ~ x
| ~ f3($false) )
& ( epred9_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred9_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred9_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred9_0
| x
| f3($false)
| ~ f3($false) )
& ( epred9_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred9_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred9_0
| x
| f3($false)
| x
| ~ x )
& ( epred9_0
| x
| ~ x
| ~ f3($false) )
& ( epred9_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred9_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred9_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred9_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred9_0
| f3($false)
| f3($false)
| x )
& ( ~ epred9_0
| f3($false)
| f3($true)
| ~ x )
& ( ~ epred9_0
| f3($true)
| ~ f3($false)
| x )
& ( ~ epred9_0
| f3($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( epred8_0
| x
| f3($false)
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( ~ f3($false)
| epred8_0
| f3($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
( epred8_0
| f3($true)
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_8,plain,
( epred10_0
<=> ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_9,plain,
( ~ x
| ~ f3($false)
| epred9_0
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( ~ f3($true)
| ~ f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( f3($false)
| epred8_0
| x ),
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( x
| f3($true)
| epred8_0 ),
inference(csr,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_13,plain,
( epred11_0
<=> ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_14,plain,
( epred10_0
<=> ( ( ~ f2($false)
| ( ( f3($false)
| epred9_0 )
& ( f3($true)
| epred8_0 ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| epred9_0 )
& ( ~ f3($true)
| epred8_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_1]),c_0_2]),c_0_1]),c_0_2]) ).
cnf(c_0_15,plain,
( ~ f3($true)
| ~ f3($true)
| ~ x
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( ~ x
| ~ f3($false)
| epred9_0 ),
inference(csr,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_17,plain,
( x
| epred8_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
fof(c_0_18,plain,
( epred11_0
<=> ( ( f2($false)
| ( ( f3($false)
| epred9_0 )
& ( f3($true)
| epred8_0 ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| epred9_0 )
& ( ~ f3($true)
| epred8_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13,c_0_1]),c_0_2]),c_0_1]),c_0_2]) ).
fof(c_0_19,plain,
( ( epred10_0
| f2($true)
| f2($false) )
& ( epred10_0
| f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| f2($true)
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| f2($true)
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| f2($true)
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| f3($false)
| f2($false) )
& ( epred10_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| ~ epred9_0
| f2($false) )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| f3($false)
| f2($false) )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| f2($false) )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred10_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( ~ epred10_0
| ~ f2($false)
| f3($false)
| epred9_0 )
& ( ~ epred10_0
| ~ f2($false)
| f3($true)
| epred8_0 )
& ( ~ epred10_0
| ~ f2($true)
| ~ f3($false)
| epred9_0 )
& ( ~ epred10_0
| ~ f2($true)
| ~ f3($true)
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_20,plain,
( ~ f3($true)
| ~ x
| epred9_0 ),
inference(cn,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( f3($true)
| epred8_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_7]),c_0_17]) ).
fof(c_0_22,plain,
( epred2_0
<=> ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( epred1_0
<=> ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ),
introduced(definition) ).
fof(c_0_24,plain,
( ( epred11_0
| ~ f2($true)
| ~ f2($false) )
& ( epred11_0
| ~ f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| ~ f2($true)
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| ~ f2($true)
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| ~ f2($true)
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| f3($false)
| ~ f2($false) )
& ( epred11_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| f3($true)
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ f2($false) )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| f3($true)
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ f2($false) )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ f2($false) )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ f3($true)
| ~ epred9_0 )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ f3($false) )
& ( epred11_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0 )
& ( ~ epred11_0
| f2($false)
| f3($false)
| epred9_0 )
& ( ~ epred11_0
| f2($false)
| f3($true)
| epred8_0 )
& ( ~ epred11_0
| f2($true)
| ~ f3($false)
| epred9_0 )
& ( ~ epred11_0
| f2($true)
| ~ f3($true)
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_25,plain,
( ~ epred9_0
| epred10_0
| f3($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( epred8_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]) ).
fof(c_0_27,plain,
( epred4_0
<=> ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_28,plain,
( ( epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred2_0
| ~ f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| ~ f2($true)
| ~ f3($true)
| ~ x )
& ( epred2_0
| ~ f2($true)
| x
| ~ f3($false) )
& ( epred2_0
| ~ f2($true)
| x
| ~ x )
& ( epred2_0
| f3($true)
| f3($false)
| ~ f2($false) )
& ( epred2_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred2_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred2_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred2_0
| f3($true)
| ~ x
| ~ f2($false) )
& ( epred2_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred2_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred2_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred2_0
| x
| f3($false)
| ~ f2($false) )
& ( epred2_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred2_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred2_0
| x
| f3($false)
| x
| ~ x )
& ( epred2_0
| x
| ~ x
| ~ f2($false) )
& ( epred2_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred2_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred2_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred2_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred2_0
| f2($false)
| f3($false)
| x )
& ( ~ epred2_0
| f2($false)
| f3($true)
| ~ x )
& ( ~ epred2_0
| f2($true)
| ~ f3($false)
| x )
& ( ~ epred2_0
| f2($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_29,plain,
( ( epred1_0
| f2($true)
| f2($false) )
& ( epred1_0
| f2($true)
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| f2($true)
| ~ f3($true)
| ~ x )
& ( epred1_0
| f2($true)
| x
| ~ f3($false) )
& ( epred1_0
| f2($true)
| x
| ~ x )
& ( epred1_0
| f3($true)
| f3($false)
| f2($false) )
& ( epred1_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| f3($true)
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred1_0
| f3($true)
| f3($false)
| x
| ~ f3($false) )
& ( epred1_0
| f3($true)
| f3($false)
| x
| ~ x )
& ( epred1_0
| f3($true)
| ~ x
| f2($false) )
& ( epred1_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| f3($true)
| ~ x
| ~ f3($true)
| ~ x )
& ( epred1_0
| f3($true)
| ~ x
| x
| ~ f3($false) )
& ( epred1_0
| f3($true)
| ~ x
| x
| ~ x )
& ( epred1_0
| x
| f3($false)
| f2($false) )
& ( epred1_0
| x
| f3($false)
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| x
| f3($false)
| ~ f3($true)
| ~ x )
& ( epred1_0
| x
| f3($false)
| x
| ~ f3($false) )
& ( epred1_0
| x
| f3($false)
| x
| ~ x )
& ( epred1_0
| x
| ~ x
| f2($false) )
& ( epred1_0
| x
| ~ x
| ~ f3($true)
| ~ f3($false) )
& ( epred1_0
| x
| ~ x
| ~ f3($true)
| ~ x )
& ( epred1_0
| x
| ~ x
| x
| ~ f3($false) )
& ( epred1_0
| x
| ~ x
| x
| ~ x )
& ( ~ epred1_0
| ~ f2($false)
| f3($false)
| x )
& ( ~ epred1_0
| ~ f2($false)
| f3($true)
| ~ x )
& ( ~ epred1_0
| ~ f2($true)
| ~ f3($false)
| x )
& ( ~ epred1_0
| ~ f2($true)
| ~ f3($true)
| ~ x ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_30,plain,
( ~ f2($true)
| ~ epred8_0
| ~ f3($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( epred10_0
| f3($true)
| f3($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
( epred10_0
| f2($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,plain,
( f2($false)
| f3($true)
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( ~ epred9_0
| ~ f2($false)
| epred11_0
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( ~ epred8_0
| ~ f3($true)
| ~ f3($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_36,plain,
( epred4_0
<=> ( ( f2($false)
| ( ( f2($false)
| epred2_0 )
& ( f2($true)
| epred1_0 ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| epred2_0 )
& ( ~ f2($true)
| epred1_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27,c_0_23]),c_0_22]),c_0_23]),c_0_22]) ).
cnf(c_0_37,plain,
( ~ f2($true)
| ~ f3($false)
| epred2_0
| x ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( epred1_0
| x
| f3($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
( epred1_0
| f2($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( ~ f2($false)
| epred2_0
| x
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( ~ f3($false)
| epred1_0
| f2($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
( ~ f2($true)
| ~ f3($true)
| ~ epred9_0
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_43,plain,
( f2($false)
| f3($true)
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_44,plain,
( ~ f3($true)
| ~ epred9_0
| epred10_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_45,plain,
( ~ f2($false)
| f3($true)
| epred8_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_34,c_0_26]) ).
cnf(c_0_46,plain,
( ~ epred8_0
| ~ f3($true)
| ~ f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,plain,
( ~ f3($true)
| ~ epred8_0
| ~ x ),
inference(cn,[status(thm)],[c_0_35]) ).
fof(c_0_48,plain,
( ( epred4_0
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ f2($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ f2($true)
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| ~ f2($true)
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| ~ f2($true)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| f2($false)
| ~ f2($false) )
& ( epred4_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ f2($false) )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred4_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( ~ epred4_0
| f2($false)
| f2($false)
| epred2_0 )
& ( ~ epred4_0
| f2($false)
| f2($true)
| epred1_0 )
& ( ~ epred4_0
| f2($true)
| ~ f2($false)
| epred2_0 )
& ( ~ epred4_0
| f2($true)
| ~ f2($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_49,plain,
( ~ f2($true)
| ~ f2($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_50,plain,
( x
| f2($false)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_51,plain,
( x
| f2($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_41]) ).
fof(c_0_52,plain,
( epred3_0
<=> ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_53,plain,
( ~ epred9_0
| f2($false)
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32]) ).
cnf(c_0_54,plain,
( ~ f3($true)
| f2($true)
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_44,c_0_26]) ).
cnf(c_0_55,plain,
( f2($true)
| f3($true)
| epred8_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_45,c_0_32]) ).
cnf(c_0_56,plain,
( ~ f3($false)
| ~ f3($true)
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
( ~ f2($true)
| ~ f2($true)
| ~ epred2_0
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
( ~ x
| ~ f2($false)
| epred2_0
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_59,plain,
( x
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_60,plain,
( ~ f3($true)
| ~ x
| epred1_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_61,plain,
( epred3_0
<=> ( ( ~ f2($false)
| ( ( f2($false)
| epred2_0 )
& ( f2($true)
| epred1_0 ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| epred2_0 )
& ( ~ f2($true)
| epred1_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52,c_0_23]),c_0_22]),c_0_23]),c_0_22]) ).
cnf(c_0_62,plain,
( ~ f2($true)
| ~ f2($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_63,plain,
( f2($false)
| epred8_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_26]) ).
cnf(c_0_64,plain,
( f2($true)
| epred8_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
( epred1_0
| f3($true)
| f3($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_66,plain,
( ~ f3($true)
| ~ epred8_0
| f2($false)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_47]) ).
cnf(c_0_67,plain,
( ~ epred2_0
| ~ f2($false)
| epred4_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_68,plain,
( ~ f2($true)
| ~ epred2_0
| epred4_0 ),
inference(cn,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_70,plain,
( ~ x
| epred1_0
| f3($true)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_71,plain,
( ~ f2($false)
| f3($true)
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_72,plain,
( ~ f3($true)
| f2($true)
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
fof(c_0_73,plain,
( ( epred3_0
| f2($true)
| f2($false) )
& ( epred3_0
| f2($true)
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| f2($false)
| f2($false) )
& ( epred3_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| f2($true)
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| f2($true)
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| ~ epred2_0
| f2($false) )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| f2($true)
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f2($false)
| f2($false) )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| f2($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ f2($true)
| ~ epred2_0 )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ f2($false) )
& ( epred3_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0 )
& ( ~ epred3_0
| ~ f2($false)
| f2($false)
| epred2_0 )
& ( ~ epred3_0
| ~ f2($false)
| f2($true)
| epred1_0 )
& ( ~ epred3_0
| ~ f2($true)
| ~ f2($false)
| epred2_0 )
& ( ~ epred3_0
| ~ f2($true)
| ~ f2($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
cnf(c_0_74,plain,
( ~ epred8_0
| ~ f2($false)
| epred11_0
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_75,plain,
( epred8_0
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_76,plain,
( ~ epred8_0
| f2($false)
| epred1_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_65]),c_0_39]),c_0_66]) ).
fof(c_0_77,plain,
( epred7_0
<=> ( ( f0($false)
| ( ( f0($false)
| ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_78,plain,
( epred5_0
<=> ( ( ~ f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_79,plain,
( epred6_0
<=> ( ( f0($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_80,plain,
( ~ f2($false)
| ~ epred2_0
| epred4_0 ),
inference(csr,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_81,plain,
( ~ epred2_0
| ~ epred1_0
| epred4_0 ),
inference(cn,[status(thm)],[c_0_69]) ).
cnf(c_0_82,plain,
( ~ f2($true)
| ~ f3($true)
| ~ x
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_83,plain,
( f3($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_59]),c_0_71]) ).
cnf(c_0_84,plain,
( f2($true)
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_39]),c_0_72]) ).
cnf(c_0_85,plain,
( ~ epred1_0
| epred3_0
| f2($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_86,plain,
( ~ f2($true)
| x
| epred8_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_12]),c_0_26]) ).
cnf(c_0_87,plain,
( x
| f2($true)
| epred1_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_11]) ).
cnf(c_0_88,plain,
( ~ epred8_0
| ~ f3($false)
| epred10_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_89,plain,
( ~ f2($false)
| f3($false)
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_90,plain,
( f2($false)
| epred1_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_75]) ).
fof(c_0_91,plain,
( epred7_0
<=> ( ( f0($false)
| ( ( f0($false)
| epred6_0 )
& ( f0($true)
| epred5_0 ) ) )
& ( f0($true)
| ( ( ~ f0($false)
| epred6_0 )
& ( ~ f0($true)
| epred5_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_78]),c_0_79]) ).
fof(c_0_92,negated_conjecture,
~ ( f0(f0(f0(f1(f2(f2(f2(f3(x))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(x)))))))) ),
inference(assume_negation,[status(cth)],[kaminski4]) ).
fof(c_0_93,plain,
( epred14_0
<=> ( ( f0($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_94,plain,
( ~ epred2_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_39]),c_0_68]),c_0_81]) ).
cnf(c_0_95,plain,
( epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_59]),c_0_84]) ).
cnf(c_0_96,plain,
( ~ epred1_0
| ~ f2($false)
| epred3_0
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_97,plain,
( ~ epred1_0
| f2($false)
| epred3_0 ),
inference(cn,[status(thm)],[c_0_85]) ).
cnf(c_0_98,plain,
( x
| epred1_0
| epred8_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_99,plain,
( f2($true)
| f3($true)
| epred1_0
| epred8_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_100,plain,
( ~ f3($false)
| f2($true)
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_75]) ).
cnf(c_0_101,plain,
( f3($false)
| epred1_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_102,plain,
( ~ f2($true)
| epred1_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_62,c_0_90]) ).
fof(c_0_103,plain,
( ( epred7_0
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ f0($true)
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ f0($true)
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| ~ f0($true)
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| ~ f0($true)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| f0($false)
| ~ f0($false) )
& ( epred7_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| f0($true)
| f0($false)
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| f0($false)
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| f0($true)
| f0($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ f0($false) )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| f0($true)
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| f0($false)
| ~ epred5_0
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f0($true)
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ f0($true)
| ~ epred6_0 )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ f0($false) )
& ( epred7_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0 )
& ( ~ epred7_0
| f0($false)
| f0($false)
| epred6_0 )
& ( ~ epred7_0
| f0($false)
| f0($true)
| epred5_0 )
& ( ~ epred7_0
| f0($true)
| ~ f0($false)
| epred6_0 )
& ( ~ epred7_0
| f0($true)
| ~ f0($true)
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
fof(c_0_104,negated_conjecture,
~ ( epred7_0
<=> epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_92]),c_0_77]),c_0_93]) ).
cnf(c_0_105,plain,
( epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_106,plain,
( ~ epred1_0
| f2($true)
| epred3_0 ),
inference(csr,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_107,plain,
( ~ epred4_0
| f2($false)
| f2($false)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_108,plain,
( ~ epred10_0
| ~ f2($true)
| ~ f3($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_109,plain,
( f3($true)
| epred1_0
| epred8_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_98]),c_0_45]) ).
cnf(c_0_110,plain,
( f2($true)
| epred1_0
| epred8_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_98]),c_0_99]) ).
cnf(c_0_111,plain,
( epred1_0
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
fof(c_0_112,plain,
( epred6_0
<=> ( ( f0($false)
| ( ( f1($false)
| epred4_0 )
& ( f1($true)
| epred3_0 ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| epred4_0 )
& ( ~ f1($true)
| epred3_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_79,c_0_52]),c_0_27]),c_0_52]),c_0_27]) ).
cnf(c_0_113,plain,
( ~ epred7_0
| f0($false)
| f0($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_114,negated_conjecture,
( ( epred14_0
| epred7_0 )
& ( ~ epred14_0
| ~ epred7_0 ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])]) ).
cnf(c_0_115,plain,
( ~ f2($true)
| ~ f2($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_116,plain,
( f2($false)
| epred3_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_105]) ).
cnf(c_0_117,plain,
( f2($true)
| epred3_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_105]) ).
cnf(c_0_118,plain,
( ~ epred4_0
| ~ f2($false)
| f2($true)
| epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_119,plain,
( ~ epred4_0
| f2($false)
| epred2_0 ),
inference(cn,[status(thm)],[c_0_107]) ).
cnf(c_0_120,plain,
( epred1_0
| epred8_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]) ).
fof(c_0_121,plain,
( epred13_0
<=> ( ( f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_122,plain,
( epred12_0
<=> ( ( ~ f1($false)
| ( ( f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| ( ( f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) )
& ( ~ f1($true)
| ( ( ~ f2($false)
| ( ( f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) )
& ( ~ f2($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| ( ( f3($false)
| x )
& ( f3($true)
| ~ x ) ) )
& ( ~ f3($true)
| ( ( ~ f3($false)
| x )
& ( ~ f3($true)
| ~ x ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_123,plain,
( ( epred6_0
| ~ f0($true)
| ~ f0($false) )
& ( epred6_0
| ~ f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ f0($true)
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| ~ f0($true)
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| ~ f0($true)
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f0($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ f0($false) )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ f0($false) )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ f0($false) )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred6_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( ~ epred6_0
| f0($false)
| f1($false)
| epred4_0 )
& ( ~ epred6_0
| f0($false)
| f1($true)
| epred3_0 )
& ( ~ epred6_0
| f0($true)
| ~ f1($false)
| epred4_0 )
& ( ~ epred6_0
| f0($true)
| ~ f1($true)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])]) ).
cnf(c_0_124,plain,
( ~ epred7_0
| f0($false)
| epred6_0 ),
inference(cn,[status(thm)],[c_0_113]) ).
cnf(c_0_125,negated_conjecture,
( epred14_0
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_126,plain,
( epred3_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_127,plain,
( ~ epred4_0
| f2($true)
| epred2_0 ),
inference(csr,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_128,plain,
( ~ epred8_0
| ~ f3($false)
| ~ x
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_129,plain,
( f2($false)
| epred1_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_120]) ).
fof(c_0_130,plain,
( epred13_0
<=> ( ( f1($false)
| ( ( f1($false)
| epred11_0 )
& ( f1($true)
| epred10_0 ) ) )
& ( f1($true)
| ( ( ~ f1($false)
| epred11_0 )
& ( ~ f1($true)
| epred10_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_121,c_0_8]),c_0_13]),c_0_8]),c_0_13]) ).
fof(c_0_131,plain,
( epred14_0
<=> ( ( f0($false)
| ( ( f1($false)
| epred13_0 )
& ( f1($true)
| epred12_0 ) ) )
& ( f0($true)
| ( ( ~ f1($false)
| epred13_0 )
& ( ~ f1($true)
| epred12_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_93,c_0_122]),c_0_121]),c_0_122]),c_0_121]) ).
cnf(c_0_132,plain,
( ~ epred7_0
| ~ f0($false)
| f0($true)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_133,plain,
( ~ f0($true)
| ~ f0($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_134,negated_conjecture,
( f0($false)
| epred6_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_135,plain,
( ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_136,plain,
( f2($false)
| epred2_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_126]) ).
cnf(c_0_137,plain,
( f2($true)
| epred2_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_126]) ).
cnf(c_0_138,plain,
( ~ x
| ~ f3($false)
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_128,c_0_56]) ).
cnf(c_0_139,plain,
( f3($false)
| epred1_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_120]),c_0_129]) ).
fof(c_0_140,plain,
( ( epred13_0
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ f1($true)
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| ~ f1($true)
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| ~ f1($true)
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| f1($false)
| ~ f1($false) )
& ( epred13_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ f1($false) )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred13_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( ~ epred13_0
| f1($false)
| f1($false)
| epred11_0 )
& ( ~ epred13_0
| f1($false)
| f1($true)
| epred10_0 )
& ( ~ epred13_0
| f1($true)
| ~ f1($false)
| epred11_0 )
& ( ~ epred13_0
| f1($true)
| ~ f1($true)
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])]) ).
fof(c_0_141,plain,
( ( epred14_0
| ~ f0($true)
| ~ f0($false) )
& ( epred14_0
| ~ f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| ~ f0($true)
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| ~ f0($true)
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| ~ f0($true)
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| f1($false)
| ~ f0($false) )
& ( epred14_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| f1($false)
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| f1($true)
| f1($false)
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ f0($false) )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| f1($true)
| ~ epred13_0
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ f0($false) )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| f1($false)
| ~ epred12_0
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ f0($false) )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ f1($true)
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ f1($true)
| ~ epred13_0 )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| ~ f1($false) )
& ( epred14_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| ~ epred13_0 )
& ( ~ epred14_0
| f0($false)
| f1($false)
| epred13_0 )
& ( ~ epred14_0
| f0($false)
| f1($true)
| epred12_0 )
& ( ~ epred14_0
| f0($true)
| ~ f1($false)
| epred13_0 )
& ( ~ epred14_0
| f0($true)
| ~ f1($true)
| epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_131])])]) ).
cnf(c_0_142,plain,
( ~ epred7_0
| f0($true)
| epred6_0 ),
inference(csr,[status(thm)],[c_0_132,c_0_124]) ).
cnf(c_0_143,plain,
( ~ f0($true)
| epred6_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_144,plain,
( ~ epred2_0
| ~ epred1_0
| epred3_0 ),
inference(cn,[status(thm)],[c_0_135]) ).
cnf(c_0_145,plain,
( epred2_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_136]),c_0_137]) ).
cnf(c_0_146,plain,
( ~ x
| epred1_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_120]) ).
cnf(c_0_147,plain,
( ~ f2($true)
| epred1_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_62,c_0_129]) ).
cnf(c_0_148,plain,
( ~ f1($true)
| ~ f1($true)
| ~ epred11_0
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_149,plain,
( ~ epred14_0
| f0($false)
| f1($false)
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_150,negated_conjecture,
( epred6_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_125]),c_0_143]) ).
cnf(c_0_151,plain,
( ~ epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,plain,
( epred1_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_139]),c_0_146]),c_0_147]) ).
cnf(c_0_153,plain,
( ~ epred11_0
| ~ f1($false)
| epred13_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_154,plain,
( ~ f1($true)
| ~ epred11_0
| epred13_0 ),
inference(cn,[status(thm)],[c_0_148]) ).
cnf(c_0_155,plain,
( ~ f0($false)
| epred6_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_156,plain,
( f0($false)
| f1($false)
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
fof(c_0_157,plain,
( epred5_0
<=> ( ( ~ f0($false)
| ( ( f1($false)
| epred4_0 )
& ( f1($true)
| epred3_0 ) ) )
& ( ~ f0($true)
| ( ( ~ f1($false)
| epred4_0 )
& ( ~ f1($true)
| epred3_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_78,c_0_52]),c_0_27]),c_0_52]),c_0_27]) ).
cnf(c_0_158,plain,
( ~ epred3_0
| ~ f0($false)
| epred6_0
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_159,plain,
( epred3_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_160,plain,
( ~ f1($false)
| ~ epred11_0
| epred13_0 ),
inference(csr,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_161,plain,
( f1($false)
| f1($true)
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_162,plain,
( ~ f0($true)
| ~ f0($true)
| ~ epred6_0
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_163,plain,
( ( epred5_0
| f0($true)
| f0($false) )
& ( epred5_0
| f0($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f0($true)
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| f0($true)
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| f0($true)
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| f1($false)
| f0($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| f1($true)
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| ~ epred4_0
| f0($false) )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| f1($true)
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| f1($false)
| f0($false) )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| f0($false) )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ f1($true)
| ~ epred4_0 )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ f1($false) )
& ( epred5_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| ~ epred4_0 )
& ( ~ epred5_0
| ~ f0($false)
| f1($false)
| epred4_0 )
& ( ~ epred5_0
| ~ f0($false)
| f1($true)
| epred3_0 )
& ( ~ epred5_0
| ~ f0($true)
| ~ f1($false)
| epred4_0 )
& ( ~ epred5_0
| ~ f0($true)
| ~ f1($true)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])]) ).
cnf(c_0_164,plain,
( ~ epred8_0
| epred10_0
| f3($false)
| f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_165,plain,
( ~ epred14_0
| ~ f1($false)
| f0($true)
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_166,plain,
( ~ f0($false)
| f1($false)
| epred6_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_167,plain,
( ~ epred11_0
| epred6_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_154]) ).
cnf(c_0_168,plain,
( ~ epred6_0
| ~ f0($false)
| epred7_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_169,plain,
( ~ f0($true)
| ~ epred6_0
| epred7_0 ),
inference(cn,[status(thm)],[c_0_162]) ).
cnf(c_0_170,plain,
( ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_171,plain,
( ~ f0($false)
| epred14_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_172,plain,
( epred5_0
| f1($true)
| f1($false)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_173,plain,
( f3($false)
| epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_75]),c_0_89]) ).
cnf(c_0_174,plain,
( ~ f1($false)
| f0($true)
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_150]) ).
cnf(c_0_175,plain,
( f1($false)
| epred6_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_156]),c_0_167]) ).
fof(c_0_176,plain,
( epred12_0
<=> ( ( ~ f1($false)
| ( ( f1($false)
| epred11_0 )
& ( f1($true)
| epred10_0 ) ) )
& ( ~ f1($true)
| ( ( ~ f1($false)
| epred11_0 )
& ( ~ f1($true)
| epred10_0 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_122,c_0_8]),c_0_13]),c_0_8]),c_0_13]) ).
cnf(c_0_177,plain,
( ~ f0($false)
| ~ epred6_0
| epred7_0 ),
inference(csr,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_178,plain,
( epred5_0
| f0($true)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_179,plain,
( ~ epred6_0
| ~ epred5_0
| epred7_0 ),
inference(cn,[status(thm)],[c_0_170]) ).
cnf(c_0_180,plain,
( f1($false)
| f1($true)
| epred5_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_181,plain,
( f2($true)
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_100,c_0_173]) ).
cnf(c_0_182,plain,
( ~ f0($true)
| ~ epred3_0
| ~ f1($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_183,plain,
( f0($true)
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
fof(c_0_184,plain,
( ( epred12_0
| f1($true)
| f1($false) )
& ( epred12_0
| f1($true)
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| f1($false)
| f1($false) )
& ( epred12_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| f1($true)
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| f1($true)
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| ~ epred11_0
| f1($false) )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| f1($true)
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| f1($false)
| f1($false) )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| f1($false) )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ f1($true)
| ~ epred11_0 )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ f1($false) )
& ( epred12_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0 )
& ( ~ epred12_0
| ~ f1($false)
| f1($false)
| epred11_0 )
& ( ~ epred12_0
| ~ f1($false)
| f1($true)
| epred10_0 )
& ( ~ epred12_0
| ~ f1($true)
| ~ f1($false)
| epred11_0 )
& ( ~ epred12_0
| ~ f1($true)
| ~ f1($true)
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_176])])]) ).
cnf(c_0_185,negated_conjecture,
( ~ epred14_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_186,plain,
( ~ epred6_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_169]),c_0_179]) ).
cnf(c_0_187,plain,
( ~ epred11_0
| epred5_0
| epred13_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_180]),c_0_154]) ).
cnf(c_0_188,plain,
( epred10_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_173]),c_0_181]),c_0_75]) ).
cnf(c_0_189,plain,
( ~ epred3_0
| epred6_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_175]) ).
cnf(c_0_190,plain,
( epred12_0
| f1($true)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_191,negated_conjecture,
( ~ epred6_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_192,plain,
( epred5_0
| epred10_0
| epred13_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_193,plain,
( epred6_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_159]),c_0_167]) ).
cnf(c_0_194,plain,
( ~ epred11_0
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_190]),c_0_154]) ).
cnf(c_0_195,plain,
( ~ epred10_0
| ~ f1($false)
| epred12_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_196,plain,
( ~ epred13_0
| ~ f0($false)
| epred14_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_197,negated_conjecture,
( epred5_0
| epred10_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_198,plain,
( ~ epred4_0
| epred5_0
| f1($true)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_199,plain,
( ~ epred4_0
| ~ f0($false)
| epred6_0
| f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_200,plain,
( epred10_0
| epred12_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_188]) ).
cnf(c_0_201,plain,
( ~ epred10_0
| f1($true)
| epred12_0 ),
inference(csr,[status(thm)],[c_0_195,c_0_190]) ).
cnf(c_0_202,plain,
( ~ f1($true)
| ~ epred4_0
| epred5_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_203,plain,
( ~ f0($false)
| f1($true)
| epred5_0
| epred10_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_204,plain,
( f0($false)
| f1($true)
| epred3_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_126]) ).
cnf(c_0_205,plain,
( ~ f0($false)
| f1($true)
| epred3_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_126]) ).
cnf(c_0_206,plain,
( ~ f0($false)
| f1($true)
| epred12_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_200]),c_0_201]) ).
cnf(c_0_207,plain,
( ~ f1($true)
| f0($true)
| epred3_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_126]) ).
cnf(c_0_208,plain,
( f1($true)
| epred3_0
| epred5_0
| epred10_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_209,plain,
( f1($true)
| epred3_0
| epred5_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_204]) ).
cnf(c_0_210,plain,
( ~ epred14_0
| f0($false)
| f1($true)
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_211,plain,
( f1($true)
| epred3_0
| epred5_0
| epred12_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_204]) ).
cnf(c_0_212,plain,
( ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_213,plain,
( ~ f0($true)
| ~ f1($true)
| ~ epred13_0
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_214,plain,
( f0($true)
| epred3_0
| epred5_0
| epred10_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_215,plain,
( ~ f0($true)
| ~ f1($true)
| ~ epred4_0
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_216,plain,
( f0($true)
| epred3_0
| epred5_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_209]) ).
cnf(c_0_217,plain,
( ~ epred12_0
| ~ f1($true)
| ~ f1($true)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_218,plain,
( ~ epred14_0
| ~ f1($true)
| f0($true)
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_219,plain,
( f0($false)
| f1($true)
| epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_210,c_0_150]) ).
cnf(c_0_220,plain,
( f0($true)
| epred3_0
| epred5_0
| epred12_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_211]) ).
cnf(c_0_221,plain,
( ~ epred13_0
| ~ epred12_0
| epred14_0 ),
inference(cn,[status(thm)],[c_0_212]) ).
cnf(c_0_222,plain,
( ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_223,plain,
( epred3_0
| epred5_0
| epred10_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_208]),c_0_197]) ).
cnf(c_0_224,plain,
( epred3_0
| epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_209]),c_0_126]) ).
cnf(c_0_225,plain,
( ~ epred12_0
| ~ f1($false)
| f1($true)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_226,plain,
( ~ f1($true)
| ~ epred12_0
| epred10_0 ),
inference(cn,[status(thm)],[c_0_217]) ).
cnf(c_0_227,plain,
( ~ epred13_0
| f1($false)
| f1($true)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_228,plain,
( ~ f1($true)
| f0($true)
| epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_150]) ).
cnf(c_0_229,plain,
( f1($true)
| epred3_0
| epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_219]) ).
cnf(c_0_230,plain,
( ~ epred13_0
| epred3_0
| epred5_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_220]),c_0_211]),c_0_221]) ).
cnf(c_0_231,plain,
( ~ epred11_0
| ~ epred10_0
| epred13_0 ),
inference(cn,[status(thm)],[c_0_222]) ).
cnf(c_0_232,negated_conjecture,
( epred3_0
| epred5_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_223]),c_0_224]) ).
cnf(c_0_233,plain,
( ~ f1($false)
| ~ epred12_0
| epred10_0 ),
inference(csr,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_234,plain,
( f1($false)
| f1($true)
| epred6_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_193]) ).
cnf(c_0_235,plain,
( f0($true)
| epred3_0
| epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_236,plain,
( epred3_0
| epred5_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]),c_0_159]) ).
cnf(c_0_237,plain,
( ~ epred12_0
| epred6_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_226]) ).
cnf(c_0_238,plain,
( epred3_0
| epred6_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_235]),c_0_229]),c_0_126]) ).
cnf(c_0_239,plain,
( ~ epred5_0
| ~ f0($false)
| f1($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_240,negated_conjecture,
( epred3_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_236]),c_0_224]) ).
cnf(c_0_241,plain,
( ~ epred6_0
| f0($false)
| f1($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_242,plain,
( epred3_0
| epred6_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_243,plain,
( ~ epred1_0
| ~ f2($true)
| ~ f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_244,plain,
( ~ epred1_0
| ~ f2($false)
| ~ x
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_245,plain,
( x
| f2($true)
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_54,c_0_12]) ).
cnf(c_0_246,plain,
( ~ epred3_0
| ~ f2($true)
| ~ f2($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_247,plain,
( ~ epred6_0
| ~ f1($true)
| f0($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_248,plain,
( ~ f0($false)
| f1($true)
| epred3_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_249,plain,
( f0($false)
| f1($true)
| epred3_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_250,plain,
( ~ f2($true)
| x
| epred2_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_11]) ).
cnf(c_0_251,plain,
( ~ epred1_0
| ~ f2($true)
| ~ f3($true)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_252,plain,
( ~ f2($true)
| ~ epred1_0
| x
| epred8_0 ),
inference(spm,[status(thm)],[c_0_243,c_0_11]) ).
cnf(c_0_253,plain,
( ~ epred1_0
| f2($true)
| epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_244]),c_0_245]),c_0_32]) ).
cnf(c_0_254,plain,
( ~ epred3_0
| ~ f2($false)
| f2($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_255,plain,
( ~ f2($true)
| ~ epred3_0
| epred1_0 ),
inference(cn,[status(thm)],[c_0_246]) ).
cnf(c_0_256,plain,
( ~ f1($true)
| f0($true)
| epred3_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_242]) ).
cnf(c_0_257,plain,
( f1($true)
| epred3_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_258,plain,
( x
| epred2_0
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_245]) ).
cnf(c_0_259,plain,
( ~ epred1_0
| f2($false)
| epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_33]),c_0_252]),c_0_253]) ).
cnf(c_0_260,plain,
( ~ epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_254,c_0_39]),c_0_255]) ).
cnf(c_0_261,plain,
( ~ epred5_0
| ~ f0($true)
| ~ f1($true)
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_262,plain,
( f0($true)
| epred3_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_263,plain,
( x
| f2($true)
| f3($false)
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_264,plain,
( f3($true)
| epred2_0
| epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_258]),c_0_33]) ).
cnf(c_0_265,plain,
( ~ epred2_0
| ~ f3($true)
| ~ x
| f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_266,plain,
( ~ x
| ~ f2($false)
| ~ f2($true)
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_244]) ).
cnf(c_0_267,plain,
( ~ epred3_0
| f2($false)
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_268,plain,
( epred3_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_257]),c_0_240]) ).
cnf(c_0_269,plain,
( ~ f2($true)
| ~ epred3_0
| x
| epred8_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_260]) ).
cnf(c_0_270,plain,
( ~ f3($true)
| f2($true)
| epred2_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_263]),c_0_20]),c_0_44]) ).
cnf(c_0_271,plain,
( ~ f2($true)
| epred2_0
| epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_264]),c_0_258]) ).
cnf(c_0_272,plain,
( ~ x
| ~ f2($false)
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_244]),c_0_266]) ).
cnf(c_0_273,plain,
( f2($false)
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_274,plain,
( x
| epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_268]),c_0_245]) ).
cnf(c_0_275,plain,
( epred2_0
| epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_264]),c_0_271]) ).
cnf(c_0_276,plain,
( ~ epred1_0
| epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]),c_0_275]) ).
cnf(c_0_277,plain,
( ~ f2($false)
| epred2_0
| f3($true)
| f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_278,plain,
( ~ epred11_0
| f2($false)
| f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_279,plain,
( ~ epred1_0
| x
| f2($false)
| f3($true)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_31]),c_0_32]) ).
cnf(c_0_280,plain,
( ~ x
| ~ epred8_0
| f2($false)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_31]),c_0_47]) ).
cnf(c_0_281,plain,
( epred8_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_260]),c_0_268]) ).
cnf(c_0_282,plain,
( f2($true)
| f3($false)
| f3($true)
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_277,c_0_32]) ).
cnf(c_0_283,plain,
( ~ f3($true)
| ~ epred8_0
| f2($true)
| epred2_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_263]),c_0_47]) ).
cnf(c_0_284,plain,
( f2($false)
| f3($false)
| epred9_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_188]) ).
cnf(c_0_285,plain,
( ~ epred3_0
| x
| f2($false)
| f3($true)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_260]) ).
cnf(c_0_286,plain,
( ~ x
| f2($false)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_287,plain,
( ~ x
| ~ epred8_0
| f2($true)
| epred2_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_282]),c_0_283]) ).
cnf(c_0_288,plain,
( ~ x
| ~ f2($false)
| ~ epred1_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_244]) ).
cnf(c_0_289,plain,
( ~ f3($true)
| f2($false)
| epred9_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_10,c_0_284]) ).
cnf(c_0_290,plain,
( f2($false)
| f3($true)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_268]),c_0_286]) ).
cnf(c_0_291,plain,
( ~ f3($false)
| f2($true)
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_275]) ).
cnf(c_0_292,plain,
( ~ x
| f2($true)
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_275]) ).
cnf(c_0_293,plain,
( ~ epred1_0
| ~ f2($false)
| f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_294,plain,
( ~ x
| ~ epred1_0
| ~ epred8_0
| f2($true)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_288,c_0_32]) ).
cnf(c_0_295,plain,
( ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| ~ epred9_0
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_296,plain,
( f2($false)
| epred9_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_297,plain,
( f2($true)
| epred2_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_263]),c_0_292]) ).
cnf(c_0_298,plain,
( ~ f2($false)
| ~ epred3_0
| x
| f3($false) ),
inference(spm,[status(thm)],[c_0_293,c_0_260]) ).
cnf(c_0_299,plain,
( f2($false)
| f3($false)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_281]) ).
cnf(c_0_300,plain,
( ~ x
| ~ epred1_0
| f2($true)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_281]) ).
cnf(c_0_301,plain,
( ~ epred9_0
| ~ epred8_0
| epred10_0 ),
inference(cn,[status(thm)],[c_0_295]) ).
cnf(c_0_302,plain,
( epred2_0
| epred9_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_296]),c_0_297]) ).
cnf(c_0_303,plain,
( ~ f2($false)
| x
| f3($false)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_268]) ).
cnf(c_0_304,plain,
( f2($false)
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_299]),c_0_290]),c_0_281]) ).
cnf(c_0_305,plain,
( ~ x
| f2($true)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_260]),c_0_268]) ).
cnf(c_0_306,plain,
( ~ f3($false)
| f2($true)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_281]) ).
cnf(c_0_307,plain,
( epred2_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_281]) ).
cnf(c_0_308,plain,
( x
| f3($false)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_309,plain,
( f2($true)
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_32]),c_0_305]),c_0_306]) ).
cnf(c_0_310,plain,
( ~ x
| ~ epred1_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_304]),c_0_307]) ).
cnf(c_0_311,plain,
( epred4_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_307]) ).
cnf(c_0_312,plain,
( ~ f0($true)
| f1($false)
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_156]) ).
cnf(c_0_313,plain,
( f0($true)
| epred6_0
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_190]),c_0_228]) ).
cnf(c_0_314,plain,
( ~ epred10_0
| epred12_0
| f1($false)
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_315,plain,
( ~ epred1_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_308]),c_0_309]),c_0_310]) ).
cnf(c_0_316,plain,
( ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_317,plain,
( ~ f0($false)
| f1($true)
| epred6_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_311]) ).
cnf(c_0_318,plain,
( ~ epred13_0
| f1($false)
| f1($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_319,plain,
( ~ f1($true)
| ~ f1($false)
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_320,plain,
( f1($false)
| epred6_0
| epred12_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_321,plain,
( ~ epred10_0
| ~ f2($true)
| ~ f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_322,plain,
( ~ f3($true)
| f2($false)
| epred1_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_38]),c_0_20]) ).
cnf(c_0_323,plain,
( ~ epred3_0
| ~ f1($false)
| epred5_0
| f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_324,plain,
( ~ epred10_0
| f1($false)
| epred12_0 ),
inference(cn,[status(thm)],[c_0_314]) ).
cnf(c_0_325,plain,
epred10_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_260]),c_0_268]) ).
cnf(c_0_326,plain,
( ~ epred11_0
| ~ epred10_0
| epred12_0 ),
inference(cn,[status(thm)],[c_0_316]) ).
cnf(c_0_327,plain,
( f1($true)
| epred6_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_219]),c_0_201]) ).
cnf(c_0_328,plain,
( ~ epred13_0
| ~ f1($false)
| f1($true)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_329,plain,
( ~ epred13_0
| f1($false)
| epred11_0 ),
inference(cn,[status(thm)],[c_0_318]) ).
cnf(c_0_330,plain,
( ~ f0($true)
| f1($true)
| epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_133,c_0_219]) ).
cnf(c_0_331,plain,
( ~ f1($true)
| epred6_0
| epred12_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_332,plain,
( ~ epred10_0
| ~ f2($false)
| f3($false)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_333,plain,
( ~ epred10_0
| f2($false)
| epred1_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_65]),c_0_39]),c_0_322]) ).
cnf(c_0_334,plain,
( ~ f1($false)
| f0($true)
| epred5_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_159]) ).
cnf(c_0_335,plain,
( f1($false)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_325])]) ).
cnf(c_0_336,plain,
( ~ epred11_0
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_325])]) ).
cnf(c_0_337,plain,
( f1($true)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_325])]) ).
cnf(c_0_338,plain,
( ~ f0($true)
| ~ f1($true)
| ~ f1($false)
| epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_339,plain,
( f0($true)
| epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_327]) ).
cnf(c_0_340,plain,
( ~ epred13_0
| f1($true)
| epred11_0 ),
inference(csr,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_341,plain,
( epred6_0
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_313]),c_0_331]) ).
cnf(c_0_342,plain,
( ~ f2($false)
| f3($false)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_325])]) ).
cnf(c_0_343,plain,
( f2($false)
| epred1_0
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_325])]) ).
cnf(c_0_344,plain,
( ~ epred9_0
| f3($false)
| f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_345,plain,
( f0($true)
| epred5_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]) ).
cnf(c_0_346,plain,
( epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_335]),c_0_337]) ).
cnf(c_0_347,plain,
( ~ f1($false)
| epred6_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_327]) ).
cnf(c_0_348,plain,
( f1($true)
| epred6_0
| epred11_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_349,plain,
( f3($false)
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_350,plain,
( ~ f2($true)
| ~ f3($false)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_325])]) ).
cnf(c_0_351,plain,
( ~ epred9_0
| ~ x
| f3($false)
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_352,plain,
( ~ epred9_0
| f3($false)
| x ),
inference(cn,[status(thm)],[c_0_344]) ).
cnf(c_0_353,plain,
( epred5_0
| epred12_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_345]),c_0_337]),c_0_346]) ).
cnf(c_0_354,plain,
( epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_347,c_0_335]) ).
cnf(c_0_355,plain,
( f0($true)
| epred6_0
| epred11_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_348]) ).
cnf(c_0_356,plain,
( f1($false)
| epred6_0
| epred11_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_341]) ).
cnf(c_0_357,plain,
( ~ x
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_349]) ).
cnf(c_0_358,plain,
( ~ f2($true)
| epred1_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_350,c_0_349]) ).
cnf(c_0_359,plain,
( ~ epred9_0
| ~ f3($false)
| f3($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_360,plain,
( ~ epred9_0
| f3($true)
| f3($false) ),
inference(csr,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_361,plain,
( ~ f2($true)
| ~ epred10_0
| x
| epred8_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_12]) ).
cnf(c_0_362,plain,
( ~ epred12_0
| ~ f0($false)
| epred14_0
| f1($false) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_363,negated_conjecture,
( epred5_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_353]),c_0_354]) ).
cnf(c_0_364,plain,
( ~ epred3_0
| epred5_0
| f1($false)
| f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_365,plain,
( ~ f0($true)
| ~ epred12_0
| ~ f1($false)
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_366,plain,
( f0($true)
| f1($true)
| epred5_0
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_180]) ).
cnf(c_0_367,plain,
( ~ epred12_0
| ~ f1($true)
| ~ f1($false)
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_368,plain,
( f1($false)
| epred6_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_193]) ).
cnf(c_0_369,plain,
( f1($true)
| epred6_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_193]) ).
cnf(c_0_370,plain,
( epred6_0
| epred11_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_355]),c_0_356]),c_0_348]) ).
cnf(c_0_371,plain,
( epred1_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_349]),c_0_357]),c_0_358]) ).
cnf(c_0_372,plain,
( ~ epred9_0
| x
| f3($true) ),
inference(csr,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_373,plain,
( ~ f2($true)
| x
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_325])]) ).
cnf(c_0_374,plain,
( ~ f0($false)
| f1($false)
| epred5_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_375,plain,
( f0($false)
| f1($false)
| epred5_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_364,c_0_159]) ).
cnf(c_0_376,plain,
( ~ epred12_0
| f1($true)
| epred5_0
| epred11_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_180]) ).
cnf(c_0_377,plain,
( ~ epred6_0
| ~ f1($false)
| f0($true)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_378,plain,
( epred6_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369]),c_0_370]) ).
cnf(c_0_379,plain,
( ~ epred10_0
| ~ f2($false)
| f3($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_380,plain,
( x
| f3($false)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_352,c_0_371]) ).
cnf(c_0_381,plain,
( x
| f3($true)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_371]) ).
cnf(c_0_382,plain,
( x
| epred1_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_87]) ).
cnf(c_0_383,plain,
( f1($false)
| epred5_0
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_384,plain,
( f1($true)
| epred5_0
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_363]) ).
cnf(c_0_385,plain,
( ~ f1($false)
| f0($true)
| epred4_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_386,plain,
( ~ epred6_0
| f0($false)
| f1($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_387,plain,
( ~ f2($false)
| f3($true)
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_325])]) ).
cnf(c_0_388,plain,
( x
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_380]),c_0_381]),c_0_382]) ).
cnf(c_0_389,plain,
( epred5_0
| epred11_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_383]),c_0_384]),c_0_363]) ).
cnf(c_0_390,plain,
( f0($true)
| epred4_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_335]),c_0_336]) ).
cnf(c_0_391,plain,
( f0($false)
| f1($false)
| epred4_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_386,c_0_378]) ).
cnf(c_0_392,plain,
( f2($true)
| f3($true)
| epred1_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_39]) ).
cnf(c_0_393,plain,
( f2($false)
| f3($true)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_70,c_0_388]) ).
cnf(c_0_394,plain,
( ~ epred5_0
| ~ f0($false)
| f1($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_395,negated_conjecture,
( epred5_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_389]),c_0_378]) ).
cnf(c_0_396,plain,
( epred4_0
| epred12_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_390]),c_0_337]),c_0_346]) ).
cnf(c_0_397,plain,
( f1($false)
| f1($true)
| epred4_0
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_391]) ).
cnf(c_0_398,plain,
( ~ f2($true)
| ~ f3($true)
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_325])]) ).
cnf(c_0_399,plain,
( f2($true)
| epred1_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_382]),c_0_392]) ).
cnf(c_0_400,plain,
( ~ epred8_0
| f2($false)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_393]),c_0_388]) ).
cnf(c_0_401,plain,
( f1($false)
| epred4_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_391]) ).
cnf(c_0_402,negated_conjecture,
( epred4_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_396]),c_0_354]) ).
cnf(c_0_403,plain,
( ~ epred5_0
| ~ f0($true)
| ~ f1($false)
| epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_404,plain,
( f0($true)
| f1($true)
| epred4_0
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_397]) ).
cnf(c_0_405,plain,
( f2($false)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_393]),c_0_399]),c_0_400]) ).
cnf(c_0_406,plain,
( ~ f1($true)
| epred4_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_401]),c_0_402]) ).
cnf(c_0_407,plain,
( f1($true)
| epred4_0
| epred11_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_397]),c_0_395]) ).
cnf(c_0_408,plain,
( f3($true)
| epred1_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_405]) ).
cnf(c_0_409,plain,
( epred4_0
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_410,plain,
( f3($false)
| f3($true)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_360,c_0_371]) ).
cnf(c_0_411,plain,
( epred1_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_408]),c_0_399]) ).
cnf(c_0_412,negated_conjecture,
( epred4_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_409]),c_0_378]) ).
cnf(c_0_413,plain,
( f3($true)
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_410]),c_0_388]),c_0_411]) ).
cnf(c_0_414,plain,
( f2($false)
| epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_412]) ).
cnf(c_0_415,plain,
( f2($true)
| epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_412]) ).
cnf(c_0_416,plain,
epred1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_413]),c_0_388]),c_0_411]) ).
cnf(c_0_417,plain,
( ~ epred2_0
| ~ f3($false)
| f2($true)
| x ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_418,plain,
( epred2_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_414]),c_0_415]) ).
cnf(c_0_419,plain,
( ~ f2($true)
| ~ f3($false)
| x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_416])]) ).
cnf(c_0_420,plain,
( ~ epred2_0
| ~ x
| f2($false)
| f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_421,plain,
( ~ x
| ~ f2($false)
| f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_416])]) ).
cnf(c_0_422,plain,
( ~ epred2_0
| f2($false)
| f3($false)
| x ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_423,plain,
( ~ f2($false)
| x
| f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_416])]) ).
cnf(c_0_424,plain,
( ~ f3($false)
| x
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]) ).
cnf(c_0_425,plain,
( ~ x
| f3($true)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_418]),c_0_421]) ).
cnf(c_0_426,plain,
( x
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_418]),c_0_423]),c_0_424]) ).
cnf(c_0_427,plain,
( f3($true)
| epred11_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_428,plain,
( epred9_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_427]),c_0_426]) ).
cnf(c_0_429,plain,
( ~ f2($true)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_427]),c_0_428]) ).
cnf(c_0_430,plain,
( ~ epred11_0
| f2($false)
| f3($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_431,plain,
epred11_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_427]),c_0_426]),c_0_418]),c_0_429]) ).
cnf(c_0_432,plain,
( f3($true)
| epred8_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_431])]),c_0_387]) ).
cnf(c_0_433,plain,
( f3($false)
| epred9_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_431])]),c_0_342]) ).
cnf(c_0_434,plain,
( ~ epred11_0
| ~ f3($true)
| f2($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_435,plain,
( ~ f2($true)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_398,c_0_432]) ).
cnf(c_0_436,plain,
( ~ epred11_0
| ~ f3($false)
| f2($true)
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_437,plain,
( ~ f2($true)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_350,c_0_433]) ).
cnf(c_0_438,plain,
epred8_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_431])]),c_0_432]),c_0_435]) ).
cnf(c_0_439,plain,
epred9_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_431])]),c_0_433]),c_0_437]) ).
cnf(c_0_440,plain,
( ~ f3($false)
| ~ f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_438])]) ).
cnf(c_0_441,plain,
( x
| f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_439])]) ).
cnf(c_0_442,plain,
( x
| f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_439])]) ).
cnf(c_0_443,plain,
( ~ x
| ~ f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_438])]) ).
cnf(c_0_444,plain,
x,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_442]) ).
cnf(c_0_445,plain,
( f3($false)
| f3($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_439])]) ).
cnf(c_0_446,plain,
~ f3($true),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_444])]) ).
cnf(c_0_447,plain,
( ~ x
| ~ f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_438])]) ).
cnf(c_0_448,plain,
f3($false),
inference(sr,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_449,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_444])]),c_0_448])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO500_8.004 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:58:25 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % Version: 3.5.1
% 0.19/0.49 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 % Starting sh5l with 300s (1) cores
% 0.19/0.49 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2372109 completed with status 0
% 0.19/0.49 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.19/0.49 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.49 % No SInE strategy applied
% 0.19/0.49 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.19/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.19/0.49 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.19/0.49 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.19/0.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.19/0.49 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2372114 completed with status 0
% 0.19/0.49 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.19/0.49 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.49 % No SInE strategy applied
% 0.19/0.49 % Search class: FGHNF-FSMM00-SFFFFFNN
% 0.19/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.49 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.19/0.49 % Preprocessing time : 0.003 s
% 0.19/0.49
% 0.19/0.49 % Proof found!
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 % SZS output start CNFRefutation
% See solution above
% 0.19/0.50 % Parsed axioms : 6
% 0.19/0.50 % Removed by relevancy pruning/SinE : 0
% 0.19/0.50 % Initial clauses : 413
% 0.19/0.50 % Removed in clause preprocessing : 168
% 0.19/0.50 % Initial clauses in saturation : 245
% 0.19/0.50 % Processed clauses : 1151
% 0.19/0.50 % ...of these trivial : 7
% 0.19/0.50 % ...subsumed : 545
% 0.19/0.50 % ...remaining for further processing : 598
% 0.19/0.50 % Other redundant clauses eliminated : 0
% 0.19/0.50 % Clauses deleted for lack of memory : 0
% 0.19/0.50 % Backward-subsumed : 429
% 0.19/0.50 % Backward-rewritten : 142
% 0.19/0.50 % Generated clauses : 2240
% 0.19/0.50 % ...of the previous two non-redundant : 1846
% 0.19/0.50 % ...aggressively subsumed : 0
% 0.19/0.50 % Contextual simplify-reflections : 241
% 0.19/0.50 % Paramodulations : 2237
% 0.19/0.50 % Factorizations : 0
% 0.19/0.50 % NegExts : 0
% 0.19/0.50 % Equation resolutions : 0
% 0.19/0.50 % Disequality decompositions : 0
% 0.19/0.50 % Total rewrite steps : 151
% 0.19/0.50 % ...of those cached : 139
% 0.19/0.50 % Propositional unsat checks : 0
% 0.19/0.50 % Propositional check models : 0
% 0.19/0.50 % Propositional check unsatisfiable : 0
% 0.19/0.50 % Propositional clauses : 0
% 0.19/0.50 % Propositional clauses after purity: 0
% 0.19/0.50 % Propositional unsat core size : 0
% 0.19/0.50 % Propositional preprocessing time : 0.000
% 0.19/0.50 % Propositional encoding time : 0.000
% 0.19/0.50 % Propositional solver time : 0.000
% 0.19/0.50 % Success case prop preproc time : 0.000
% 0.19/0.50 % Success case prop encoding time : 0.000
% 0.19/0.50 % Success case prop solver time : 0.000
% 0.19/0.50 % Current number of processed clauses : 24
% 0.19/0.50 % Positive orientable unit clauses : 12
% 0.19/0.50 % Positive unorientable unit clauses: 0
% 0.19/0.50 % Negative unit clauses : 5
% 0.19/0.50 % Non-unit-clauses : 7
% 0.19/0.50 % Current number of unprocessed clauses: 1
% 0.19/0.50 % ...number of literals in the above : 3
% 0.19/0.50 % Current number of archived formulas : 0
% 0.19/0.50 % Current number of archived clauses : 574
% 0.19/0.50 % Clause-clause subsumption calls (NU) : 46316
% 0.19/0.50 % Rec. Clause-clause subsumption calls : 15258
% 0.19/0.50 % Non-unit clause-clause subsumptions : 1192
% 0.19/0.50 % Unit Clause-clause subsumption calls : 758
% 0.19/0.50 % Rewrite failures with RHS unbound : 0
% 0.19/0.50 % BW rewrite match attempts : 11
% 0.19/0.50 % BW rewrite match successes : 11
% 0.19/0.50 % Condensation attempts : 0
% 0.19/0.50 % Condensation successes : 0
% 0.19/0.50 % Termbank termtop insertions : 39247
% 0.19/0.50 % Search garbage collected termcells : 2454
% 0.19/0.50
% 0.19/0.50 % -------------------------------------------------
% 0.19/0.50 % User time : 0.057 s
% 0.19/0.50 % System time : 0.010 s
% 0.19/0.50 % Total time : 0.067 s
% 0.19/0.50 % Maximum resident set size: 3892 pages
% 0.19/0.50
% 0.19/0.50 % -------------------------------------------------
% 0.19/0.50 % User time : 0.208 s
% 0.19/0.50 % System time : 0.022 s
% 0.19/0.50 % Total time : 0.230 s
% 0.19/0.50 % Maximum resident set size: 4608 pages
% 0.19/0.50 % E exiting
%------------------------------------------------------------------------------