TSTP Solution File: SYO500_8.004 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO500_8.004 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 08:46:52 EDT 2024
% Result : Theorem 1.02s 0.62s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
x: $o ).
tff(decl_23,type,
f0: $o > $o ).
tff(decl_24,type,
f1: $o > $o ).
tff(decl_25,type,
f2: $o > $o ).
tff(decl_26,type,
f3: $o > $o ).
tff(decl_27,type,
epred1_0: $o ).
tff(decl_28,type,
epred2_0: $o ).
tff(decl_29,type,
epred3_0: $o ).
tff(decl_30,type,
epred4_0: $o ).
tff(decl_31,type,
epred5_0: $o ).
tff(decl_32,type,
epred6_0: $o ).
tff(decl_33,type,
epred7_0: $o ).
tff(decl_34,type,
epred8_0: $o ).
tff(decl_35,type,
epred9_0: $o ).
tff(decl_36,type,
epred10_0: $o ).
tff(decl_37,type,
epred11_0: $o ).
tff(decl_38,type,
epred12_0: $o ).
tff(decl_39,type,
epred13_0: $o ).
tff(decl_40,type,
epred14_0: $o ).
fof(kaminski4,conjecture,
( f0(f0(f0(f1(f2(f2(f2(f3(x))))))))
<=> f0(f1(f1(f1(f2(f3(f3(f3(x)))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski4) ).
fof(c_0_1,plain,
( epred2_0
<=> ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
( epred1_0
<=> ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
( epred8_0
<=> ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) ) ),
introduced(definition) ).
fof(c_0_4,plain,
( ( ~ x
| ~ f3($true)
| f2($true)
| ~ epred2_0 )
& ( x
| ~ f3($false)
| f2($true)
| ~ epred2_0 )
& ( ~ x
| f3($true)
| f2($false)
| ~ epred2_0 )
& ( x
| f3($false)
| f2($false)
| ~ epred2_0 )
& ( ~ x
| x
| ~ x
| x
| epred2_0 )
& ( ~ f3($false)
| x
| ~ x
| x
| epred2_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| x
| epred2_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| x
| epred2_0 )
& ( ~ f2($false)
| ~ x
| x
| epred2_0 )
& ( ~ x
| x
| f3($false)
| x
| epred2_0 )
& ( ~ f3($false)
| x
| f3($false)
| x
| epred2_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| x
| epred2_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| x
| epred2_0 )
& ( ~ f2($false)
| f3($false)
| x
| epred2_0 )
& ( ~ x
| x
| ~ x
| f3($true)
| epred2_0 )
& ( ~ f3($false)
| x
| ~ x
| f3($true)
| epred2_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| f3($true)
| epred2_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| f3($true)
| epred2_0 )
& ( ~ f2($false)
| ~ x
| f3($true)
| epred2_0 )
& ( ~ x
| x
| f3($false)
| f3($true)
| epred2_0 )
& ( ~ f3($false)
| x
| f3($false)
| f3($true)
| epred2_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| f3($true)
| epred2_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred2_0 )
& ( ~ f2($false)
| f3($false)
| f3($true)
| epred2_0 )
& ( ~ x
| x
| ~ f2($true)
| epred2_0 )
& ( ~ f3($false)
| x
| ~ f2($true)
| epred2_0 )
& ( ~ x
| ~ f3($true)
| ~ f2($true)
| epred2_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ f2($true)
| epred2_0 )
& ( ~ f2($false)
| ~ f2($true)
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
fof(c_0_5,plain,
( ( ~ x
| ~ f3($true)
| ~ f2($true)
| ~ epred1_0 )
& ( x
| ~ f3($false)
| ~ f2($true)
| ~ epred1_0 )
& ( ~ x
| f3($true)
| ~ f2($false)
| ~ epred1_0 )
& ( x
| f3($false)
| ~ f2($false)
| ~ epred1_0 )
& ( ~ x
| x
| ~ x
| x
| epred1_0 )
& ( ~ f3($false)
| x
| ~ x
| x
| epred1_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| x
| epred1_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| x
| epred1_0 )
& ( f2($false)
| ~ x
| x
| epred1_0 )
& ( ~ x
| x
| f3($false)
| x
| epred1_0 )
& ( ~ f3($false)
| x
| f3($false)
| x
| epred1_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| x
| epred1_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| x
| epred1_0 )
& ( f2($false)
| f3($false)
| x
| epred1_0 )
& ( ~ x
| x
| ~ x
| f3($true)
| epred1_0 )
& ( ~ f3($false)
| x
| ~ x
| f3($true)
| epred1_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| f3($true)
| epred1_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| f3($true)
| epred1_0 )
& ( f2($false)
| ~ x
| f3($true)
| epred1_0 )
& ( ~ x
| x
| f3($false)
| f3($true)
| epred1_0 )
& ( ~ f3($false)
| x
| f3($false)
| f3($true)
| epred1_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| f3($true)
| epred1_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred1_0 )
& ( f2($false)
| f3($false)
| f3($true)
| epred1_0 )
& ( ~ x
| x
| f2($true)
| epred1_0 )
& ( ~ f3($false)
| x
| f2($true)
| epred1_0 )
& ( ~ x
| ~ f3($true)
| f2($true)
| epred1_0 )
& ( ~ f3($false)
| ~ f3($true)
| f2($true)
| epred1_0 )
& ( f2($false)
| f2($true)
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_6,plain,
( epred9_0
<=> ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( ( ~ x
| ~ f3($true)
| ~ f3($true)
| ~ epred8_0 )
& ( x
| ~ f3($false)
| ~ f3($true)
| ~ epred8_0 )
& ( ~ x
| f3($true)
| ~ f3($false)
| ~ epred8_0 )
& ( x
| f3($false)
| ~ f3($false)
| ~ epred8_0 )
& ( ~ x
| x
| ~ x
| x
| epred8_0 )
& ( ~ f3($false)
| x
| ~ x
| x
| epred8_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| x
| epred8_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| x
| epred8_0 )
& ( f3($false)
| ~ x
| x
| epred8_0 )
& ( ~ x
| x
| f3($false)
| x
| epred8_0 )
& ( ~ f3($false)
| x
| f3($false)
| x
| epred8_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| x
| epred8_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| x
| epred8_0 )
& ( f3($false)
| f3($false)
| x
| epred8_0 )
& ( ~ x
| x
| ~ x
| f3($true)
| epred8_0 )
& ( ~ f3($false)
| x
| ~ x
| f3($true)
| epred8_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| f3($true)
| epred8_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| f3($true)
| epred8_0 )
& ( f3($false)
| ~ x
| f3($true)
| epred8_0 )
& ( ~ x
| x
| f3($false)
| f3($true)
| epred8_0 )
& ( ~ f3($false)
| x
| f3($false)
| f3($true)
| epred8_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| f3($true)
| epred8_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred8_0 )
& ( f3($false)
| f3($false)
| f3($true)
| epred8_0 )
& ( ~ x
| x
| f3($true)
| epred8_0 )
& ( ~ f3($false)
| x
| f3($true)
| epred8_0 )
& ( ~ x
| ~ f3($true)
| f3($true)
| epred8_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($true)
| epred8_0 )
& ( f3($false)
| f3($true)
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_8,plain,
( f3($false)
| x
| epred2_0
| ~ f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( f2($false)
| f2($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( x
| f2($true)
| epred1_0
| ~ f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,plain,
( ( ~ x
| ~ f3($true)
| f3($true)
| ~ epred9_0 )
& ( x
| ~ f3($false)
| f3($true)
| ~ epred9_0 )
& ( ~ x
| f3($true)
| f3($false)
| ~ epred9_0 )
& ( x
| f3($false)
| f3($false)
| ~ epred9_0 )
& ( ~ x
| x
| ~ x
| x
| epred9_0 )
& ( ~ f3($false)
| x
| ~ x
| x
| epred9_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| x
| epred9_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| x
| epred9_0 )
& ( ~ f3($false)
| ~ x
| x
| epred9_0 )
& ( ~ x
| x
| f3($false)
| x
| epred9_0 )
& ( ~ f3($false)
| x
| f3($false)
| x
| epred9_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| x
| epred9_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| x
| epred9_0 )
& ( ~ f3($false)
| f3($false)
| x
| epred9_0 )
& ( ~ x
| x
| ~ x
| f3($true)
| epred9_0 )
& ( ~ f3($false)
| x
| ~ x
| f3($true)
| epred9_0 )
& ( ~ x
| ~ f3($true)
| ~ x
| f3($true)
| epred9_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ x
| f3($true)
| epred9_0 )
& ( ~ f3($false)
| ~ x
| f3($true)
| epred9_0 )
& ( ~ x
| x
| f3($false)
| f3($true)
| epred9_0 )
& ( ~ f3($false)
| x
| f3($false)
| f3($true)
| epred9_0 )
& ( ~ x
| ~ f3($true)
| f3($false)
| f3($true)
| epred9_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred9_0 )
& ( ~ f3($false)
| f3($false)
| f3($true)
| epred9_0 )
& ( ~ x
| x
| ~ f3($true)
| epred9_0 )
& ( ~ f3($false)
| x
| ~ f3($true)
| epred9_0 )
& ( ~ x
| ~ f3($true)
| ~ f3($true)
| epred9_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ f3($true)
| epred9_0 )
& ( ~ f3($false)
| ~ f3($true)
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_12,plain,
( x
| f3($true)
| epred8_0
| ~ f3($false) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( f3($false)
| f3($true)
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( f3($false)
| f3($false)
| x
| epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( x
| epred2_0
| ~ f3($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( epred2_0
| epred1_0
| f2($true)
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_17,plain,
( epred2_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_18,plain,
( epred11_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) ) ),
introduced(definition) ).
cnf(c_0_19,plain,
( f3($true)
| epred9_0
| ~ f3($false)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( epred9_0
| ~ f3($false)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( epred8_0
| f3($true)
| x ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_22,plain,
( x
| epred8_0
| f3($false) ),
inference(cn,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( epred9_0
| ~ x
| ~ f3($true)
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_24,plain,
( epred10_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) ) ),
introduced(definition) ).
fof(c_0_25,plain,
( epred4_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) ) ),
introduced(definition) ).
cnf(c_0_26,plain,
( epred2_0
| epred1_0
| x
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_27,plain,
( f2($false)
| f3($false)
| x
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
( epred2_0
| epred1_0
| x
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
fof(c_0_29,plain,
( epred11_0
<=> ( ( ( ( epred8_0
| ~ f3($true) )
& ( epred9_0
| ~ f3($false) ) )
| f2($true) )
& ( ( ( epred8_0
| f3($true) )
& ( epred9_0
| f3($false) ) )
| f2($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18,c_0_3]),c_0_6]),c_0_3]),c_0_6]) ).
cnf(c_0_30,plain,
( epred9_0
| ~ f3($false)
| ~ x ),
inference(csr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_31,plain,
( epred9_0
| epred8_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_32,plain,
( epred9_0
| ~ x
| ~ f3($true) ),
inference(cn,[status(thm)],[c_0_23]) ).
fof(c_0_33,plain,
( epred10_0
<=> ( ( ( ( epred8_0
| ~ f3($true) )
& ( epred9_0
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( epred8_0
| f3($true) )
& ( epred9_0
| f3($false) ) )
| ~ f2($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24,c_0_3]),c_0_6]),c_0_3]),c_0_6]) ).
fof(c_0_34,plain,
( epred4_0
<=> ( ( ( ( epred1_0
| ~ f2($true) )
& ( epred2_0
| ~ f2($false) ) )
| f2($true) )
& ( ( ( epred1_0
| f2($true) )
& ( epred2_0
| f2($false) ) )
| f2($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25,c_0_2]),c_0_1]),c_0_2]),c_0_1]) ).
cnf(c_0_35,plain,
( epred2_0
| ~ x
| ~ f3($true)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,plain,
( epred2_0
| epred1_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
fof(c_0_37,plain,
( ( epred8_0
| ~ f3($true)
| f2($true)
| ~ epred11_0 )
& ( epred9_0
| ~ f3($false)
| f2($true)
| ~ epred11_0 )
& ( epred8_0
| f3($true)
| f2($false)
| ~ epred11_0 )
& ( epred9_0
| f3($false)
| f2($false)
| ~ epred11_0 )
& ( ~ epred9_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| epred11_0 )
& ( ~ f3($false)
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| epred11_0 )
& ( ~ epred9_0
| ~ f3($true)
| ~ epred9_0
| ~ epred8_0
| epred11_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred9_0
| ~ epred8_0
| epred11_0 )
& ( ~ f2($false)
| ~ epred9_0
| ~ epred8_0
| epred11_0 )
& ( ~ epred9_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| epred11_0 )
& ( ~ f3($false)
| ~ epred8_0
| f3($false)
| ~ epred8_0
| epred11_0 )
& ( ~ epred9_0
| ~ f3($true)
| f3($false)
| ~ epred8_0
| epred11_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| ~ epred8_0
| epred11_0 )
& ( ~ f2($false)
| f3($false)
| ~ epred8_0
| epred11_0 )
& ( ~ epred9_0
| ~ epred8_0
| ~ epred9_0
| f3($true)
| epred11_0 )
& ( ~ f3($false)
| ~ epred8_0
| ~ epred9_0
| f3($true)
| epred11_0 )
& ( ~ epred9_0
| ~ f3($true)
| ~ epred9_0
| f3($true)
| epred11_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred9_0
| f3($true)
| epred11_0 )
& ( ~ f2($false)
| ~ epred9_0
| f3($true)
| epred11_0 )
& ( ~ epred9_0
| ~ epred8_0
| f3($false)
| f3($true)
| epred11_0 )
& ( ~ f3($false)
| ~ epred8_0
| f3($false)
| f3($true)
| epred11_0 )
& ( ~ epred9_0
| ~ f3($true)
| f3($false)
| f3($true)
| epred11_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred11_0 )
& ( ~ f2($false)
| f3($false)
| f3($true)
| epred11_0 )
& ( ~ epred9_0
| ~ epred8_0
| ~ f2($true)
| epred11_0 )
& ( ~ f3($false)
| ~ epred8_0
| ~ f2($true)
| epred11_0 )
& ( ~ epred9_0
| ~ f3($true)
| ~ f2($true)
| epred11_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ f2($true)
| epred11_0 )
& ( ~ f2($false)
| ~ f2($true)
| epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_38,plain,
( epred9_0
| epred8_0
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
( epred9_0
| epred8_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
fof(c_0_40,plain,
( ( epred8_0
| ~ f3($true)
| ~ f2($true)
| ~ epred10_0 )
& ( epred9_0
| ~ f3($false)
| ~ f2($true)
| ~ epred10_0 )
& ( epred8_0
| f3($true)
| ~ f2($false)
| ~ epred10_0 )
& ( epred9_0
| f3($false)
| ~ f2($false)
| ~ epred10_0 )
& ( ~ epred9_0
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| epred10_0 )
& ( ~ f3($false)
| ~ epred8_0
| ~ epred9_0
| ~ epred8_0
| epred10_0 )
& ( ~ epred9_0
| ~ f3($true)
| ~ epred9_0
| ~ epred8_0
| epred10_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred9_0
| ~ epred8_0
| epred10_0 )
& ( f2($false)
| ~ epred9_0
| ~ epred8_0
| epred10_0 )
& ( ~ epred9_0
| ~ epred8_0
| f3($false)
| ~ epred8_0
| epred10_0 )
& ( ~ f3($false)
| ~ epred8_0
| f3($false)
| ~ epred8_0
| epred10_0 )
& ( ~ epred9_0
| ~ f3($true)
| f3($false)
| ~ epred8_0
| epred10_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| ~ epred8_0
| epred10_0 )
& ( f2($false)
| f3($false)
| ~ epred8_0
| epred10_0 )
& ( ~ epred9_0
| ~ epred8_0
| ~ epred9_0
| f3($true)
| epred10_0 )
& ( ~ f3($false)
| ~ epred8_0
| ~ epred9_0
| f3($true)
| epred10_0 )
& ( ~ epred9_0
| ~ f3($true)
| ~ epred9_0
| f3($true)
| epred10_0 )
& ( ~ f3($false)
| ~ f3($true)
| ~ epred9_0
| f3($true)
| epred10_0 )
& ( f2($false)
| ~ epred9_0
| f3($true)
| epred10_0 )
& ( ~ epred9_0
| ~ epred8_0
| f3($false)
| f3($true)
| epred10_0 )
& ( ~ f3($false)
| ~ epred8_0
| f3($false)
| f3($true)
| epred10_0 )
& ( ~ epred9_0
| ~ f3($true)
| f3($false)
| f3($true)
| epred10_0 )
& ( ~ f3($false)
| ~ f3($true)
| f3($false)
| f3($true)
| epred10_0 )
& ( f2($false)
| f3($false)
| f3($true)
| epred10_0 )
& ( ~ epred9_0
| ~ epred8_0
| f2($true)
| epred10_0 )
& ( ~ f3($false)
| ~ epred8_0
| f2($true)
| epred10_0 )
& ( ~ epred9_0
| ~ f3($true)
| f2($true)
| epred10_0 )
& ( ~ f3($false)
| ~ f3($true)
| f2($true)
| epred10_0 )
& ( f2($false)
| f2($true)
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_41,plain,
( epred3_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) ) ),
introduced(definition) ).
fof(c_0_42,plain,
( ( epred1_0
| ~ f2($true)
| f2($true)
| ~ epred4_0 )
& ( epred2_0
| ~ f2($false)
| f2($true)
| ~ epred4_0 )
& ( epred1_0
| f2($true)
| f2($false)
| ~ epred4_0 )
& ( epred2_0
| f2($false)
| f2($false)
| ~ epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f2($false)
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ f2($true)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ f2($false)
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f2($false)
| ~ epred1_0
| f2($false)
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ f2($true)
| f2($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred1_0
| epred4_0 )
& ( ~ f2($false)
| f2($false)
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ epred1_0
| ~ epred2_0
| f2($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f2($true)
| ~ epred2_0
| f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred2_0
| f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ epred2_0
| f2($true)
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| f2($false)
| f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ epred1_0
| f2($false)
| f2($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred4_0 )
& ( ~ f2($false)
| f2($false)
| f2($true)
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ epred1_0
| ~ f2($true)
| epred4_0 )
& ( ~ epred2_0
| ~ f2($true)
| ~ f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ f2($true)
| epred4_0 )
& ( ~ f2($false)
| ~ f2($true)
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_43,plain,
( f2($true)
| epred1_0
| ~ x
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_44,plain,
( epred2_0
| epred1_0
| ~ f3($true)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_45,plain,
( epred7_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f0($false) ) )
| ~ f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| f0($false) ) )
| ~ f0($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f0($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| f0($false) ) )
| f0($false) ) )
| f0($false) ) ) ),
introduced(definition) ).
fof(c_0_46,plain,
( epred5_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f0($false) ) ) ),
introduced(definition) ).
fof(c_0_47,plain,
( epred6_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f2($false) ) )
| f2($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f2($false) ) )
| f2($false) ) )
| f2($false) ) )
| f1($false) ) )
| f0($false) ) ) ),
introduced(definition) ).
cnf(c_0_48,plain,
( f3($true)
| epred11_0
| ~ f2($false)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
( epred9_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_13]),c_0_39]) ).
cnf(c_0_50,plain,
( f2($true)
| epred10_0
| ~ epred9_0
| ~ f3($true) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_51,plain,
( epred3_0
<=> ( ( ( ( epred1_0
| ~ f2($true) )
& ( epred2_0
| ~ f2($false) ) )
| ~ f2($true) )
& ( ( ( epred1_0
| f2($true) )
& ( epred2_0
| f2($false) ) )
| ~ f2($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_41,c_0_2]),c_0_1]),c_0_2]),c_0_1]) ).
cnf(c_0_52,plain,
( epred4_0
| ~ epred2_0
| ~ f2($true)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,plain,
( f3($true)
| epred2_0
| ~ f2($false)
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_54,plain,
( epred2_0
| epred1_0
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_44]) ).
fof(c_0_55,plain,
( epred7_0
<=> ( ( ( ( epred5_0
| ~ f0($true) )
& ( epred6_0
| ~ f0($false) ) )
| f0($true) )
& ( ( ( epred5_0
| f0($true) )
& ( epred6_0
| f0($false) ) )
| f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_46]),c_0_47]) ).
cnf(c_0_56,plain,
( epred11_0
| ~ epred9_0
| ~ f3($true)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( epred11_0
| epred8_0
| f3($true)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,plain,
( f2($false)
| f2($true)
| epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,plain,
( epred10_0
| epred8_0
| f2($true)
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
fof(c_0_60,plain,
( ( epred1_0
| ~ f2($true)
| ~ f2($true)
| ~ epred3_0 )
& ( epred2_0
| ~ f2($false)
| ~ f2($true)
| ~ epred3_0 )
& ( epred1_0
| f2($true)
| ~ f2($false)
| ~ epred3_0 )
& ( epred2_0
| f2($false)
| ~ f2($false)
| ~ epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ f2($false)
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ f2($true)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( f2($false)
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f2($false)
| ~ epred1_0
| epred3_0 )
& ( ~ f2($false)
| ~ epred1_0
| f2($false)
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ f2($true)
| f2($false)
| ~ epred1_0
| epred3_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| ~ epred1_0
| epred3_0 )
& ( f2($false)
| f2($false)
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| f2($true)
| epred3_0 )
& ( ~ f2($false)
| ~ epred1_0
| ~ epred2_0
| f2($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f2($true)
| ~ epred2_0
| f2($true)
| epred3_0 )
& ( ~ f2($false)
| ~ f2($true)
| ~ epred2_0
| f2($true)
| epred3_0 )
& ( f2($false)
| ~ epred2_0
| f2($true)
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f2($false)
| f2($true)
| epred3_0 )
& ( ~ f2($false)
| ~ epred1_0
| f2($false)
| f2($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f2($true)
| f2($false)
| f2($true)
| epred3_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($false)
| f2($true)
| epred3_0 )
& ( f2($false)
| f2($false)
| f2($true)
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| f2($true)
| epred3_0 )
& ( ~ f2($false)
| ~ epred1_0
| f2($true)
| epred3_0 )
& ( ~ epred2_0
| ~ f2($true)
| f2($true)
| epred3_0 )
& ( ~ f2($false)
| ~ f2($true)
| f2($true)
| epred3_0 )
& ( f2($false)
| f2($true)
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
cnf(c_0_61,plain,
( f2($true)
| epred4_0
| ~ f2($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_62,plain,
( epred4_0
| ~ epred2_0
| ~ f2($true) ),
inference(cn,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
( f2($false)
| f3($true)
| epred1_0
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_64,plain,
( epred2_0
| epred1_0
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_36]),c_0_54]) ).
fof(c_0_65,plain,
( ( epred5_0
| ~ f0($true)
| f0($true)
| ~ epred7_0 )
& ( epred6_0
| ~ f0($false)
| f0($true)
| ~ epred7_0 )
& ( epred5_0
| f0($true)
| f0($false)
| ~ epred7_0 )
& ( epred6_0
| f0($false)
| f0($false)
| ~ epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ f0($false)
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ f0($true)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ f0($false)
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f0($false)
| ~ epred5_0
| epred7_0 )
& ( ~ f0($false)
| ~ epred5_0
| f0($false)
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ f0($true)
| f0($false)
| ~ epred5_0
| epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| ~ epred5_0
| epred7_0 )
& ( ~ f0($false)
| f0($false)
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ epred5_0
| ~ epred6_0
| f0($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f0($true)
| ~ epred6_0
| f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ epred6_0
| f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ epred6_0
| f0($true)
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| f0($false)
| f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ epred5_0
| f0($false)
| f0($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f0($true)
| f0($false)
| f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| f0($false)
| f0($true)
| epred7_0 )
& ( ~ f0($false)
| f0($false)
| f0($true)
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ epred5_0
| ~ f0($true)
| epred7_0 )
& ( ~ epred6_0
| ~ f0($true)
| ~ f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| ~ f0($true)
| epred7_0 )
& ( ~ f0($false)
| ~ f0($true)
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_66,plain,
( epred14_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| f1($false) ) )
| ~ f1($false) ) )
| f0($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| f1($false) ) )
| f1($false) ) )
| f0($false) ) ) ),
introduced(definition) ).
cnf(c_0_67,plain,
( epred11_0
| epred8_0
| ~ f3($true)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_56,c_0_49]) ).
cnf(c_0_68,plain,
( epred11_0
| epred10_0
| epred8_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_69,plain,
( f2($false)
| f3($true)
| epred10_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_70,plain,
( epred11_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_71,plain,
( f2($false)
| f2($false)
| epred3_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,plain,
( epred4_0
| ~ epred2_0
| ~ f2($false) ),
inference(csr,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,plain,
( epred2_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_36]),c_0_64]),c_0_54]) ).
fof(c_0_74,plain,
( epred12_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| ~ f1($false) ) ) ),
introduced(definition) ).
fof(c_0_75,plain,
( epred13_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| ~ f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| ~ f1($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| ~ f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| ~ f2($false) ) )
| f1($true) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| ~ f3($false) ) )
| f2($true) )
& ( ( ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| ~ f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ( ( ~ x
| ~ f3($true) )
& ( x
| ~ f3($false) ) )
| f3($true) )
& ( ( ( ~ x
| f3($true) )
& ( x
| f3($false) ) )
| f3($false) ) )
| f3($false) ) )
| f2($false) ) )
| f1($false) ) )
| f1($false) ) ) ),
introduced(definition) ).
cnf(c_0_76,plain,
( epred6_0
| f0($false)
| f0($false)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_77,negated_conjecture,
~ ( epred7_0
<=> epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski4])]),c_0_45]),c_0_66]) ).
cnf(c_0_78,plain,
( epred11_0
| epred10_0
| epred8_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_79,plain,
( epred10_0
| epred8_0
| f3($true)
| f2($false) ),
inference(spm,[status(thm)],[c_0_69,c_0_49]) ).
cnf(c_0_80,plain,
( epred11_0
| epred10_0
| epred8_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_70,c_0_68]) ).
cnf(c_0_81,plain,
( f2($true)
| epred3_0
| ~ f2($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_82,plain,
( epred3_0
| f2($false)
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_71]) ).
cnf(c_0_83,plain,
( epred4_0
| epred1_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,plain,
( epred4_0
| epred1_0
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_62,c_0_73]) ).
fof(c_0_85,plain,
( epred14_0
<=> ( ( ( ( epred12_0
| ~ f1($true) )
& ( epred13_0
| ~ f1($false) ) )
| f0($true) )
& ( ( ( epred12_0
| f1($true) )
& ( epred13_0
| f1($false) ) )
| f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_66,c_0_74]),c_0_75]),c_0_74]),c_0_75]) ).
cnf(c_0_86,plain,
( epred6_0
| f0($true)
| ~ f0($false)
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_87,plain,
( epred6_0
| f0($false)
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_76]) ).
fof(c_0_88,negated_conjecture,
( ( ~ epred7_0
| ~ epred14_0 )
& ( epred7_0
| epred14_0 ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).
fof(c_0_89,plain,
( epred13_0
<=> ( ( ( ( epred10_0
| ~ f1($true) )
& ( epred11_0
| ~ f1($false) ) )
| f1($true) )
& ( ( ( epred10_0
| f1($true) )
& ( epred11_0
| f1($false) ) )
| f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_75,c_0_24]),c_0_18]),c_0_24]),c_0_18]) ).
cnf(c_0_90,plain,
( epred11_0
| ~ f3($false)
| ~ epred8_0
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_91,plain,
( epred11_0
| epred10_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_92,plain,
( epred3_0
| f2($true)
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_93,plain,
( epred4_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_9]),c_0_84]) ).
fof(c_0_94,plain,
( ( epred12_0
| ~ f1($true)
| f0($true)
| ~ epred14_0 )
& ( epred13_0
| ~ f1($false)
| f0($true)
| ~ epred14_0 )
& ( epred12_0
| f1($true)
| f0($false)
| ~ epred14_0 )
& ( epred13_0
| f1($false)
| f0($false)
| ~ epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ f1($false)
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ f1($true)
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ f0($false)
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| f1($false)
| ~ epred12_0
| epred14_0 )
& ( ~ f1($false)
| ~ epred12_0
| f1($false)
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ f1($true)
| f1($false)
| ~ epred12_0
| epred14_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred12_0
| epred14_0 )
& ( ~ f0($false)
| f1($false)
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| f1($true)
| epred14_0 )
& ( ~ f1($false)
| ~ epred12_0
| ~ epred13_0
| f1($true)
| epred14_0 )
& ( ~ epred13_0
| ~ f1($true)
| ~ epred13_0
| f1($true)
| epred14_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred13_0
| f1($true)
| epred14_0 )
& ( ~ f0($false)
| ~ epred13_0
| f1($true)
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| f1($false)
| f1($true)
| epred14_0 )
& ( ~ f1($false)
| ~ epred12_0
| f1($false)
| f1($true)
| epred14_0 )
& ( ~ epred13_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred14_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred14_0 )
& ( ~ f0($false)
| f1($false)
| f1($true)
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ f0($true)
| epred14_0 )
& ( ~ f1($false)
| ~ epred12_0
| ~ f0($true)
| epred14_0 )
& ( ~ epred13_0
| ~ f1($true)
| ~ f0($true)
| epred14_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ f0($true)
| epred14_0 )
& ( ~ f0($false)
| ~ f0($true)
| epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).
cnf(c_0_95,plain,
( epred6_0
| f0($true)
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
( epred7_0
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_97,plain,
( ( epred10_0
| ~ f1($true)
| f1($true)
| ~ epred13_0 )
& ( epred11_0
| ~ f1($false)
| f1($true)
| ~ epred13_0 )
& ( epred10_0
| f1($true)
| f1($false)
| ~ epred13_0 )
& ( epred11_0
| f1($false)
| f1($false)
| ~ epred13_0 )
& ( ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| epred13_0 )
& ( ~ f1($false)
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| epred13_0 )
& ( ~ epred11_0
| ~ f1($true)
| ~ epred11_0
| ~ epred10_0
| epred13_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred11_0
| ~ epred10_0
| epred13_0 )
& ( ~ f1($false)
| ~ epred11_0
| ~ epred10_0
| epred13_0 )
& ( ~ epred11_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| epred13_0 )
& ( ~ f1($false)
| ~ epred10_0
| f1($false)
| ~ epred10_0
| epred13_0 )
& ( ~ epred11_0
| ~ f1($true)
| f1($false)
| ~ epred10_0
| epred13_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred10_0
| epred13_0 )
& ( ~ f1($false)
| f1($false)
| ~ epred10_0
| epred13_0 )
& ( ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ epred10_0
| ~ epred11_0
| f1($true)
| epred13_0 )
& ( ~ epred11_0
| ~ f1($true)
| ~ epred11_0
| f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred11_0
| f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ epred11_0
| f1($true)
| epred13_0 )
& ( ~ epred11_0
| ~ epred10_0
| f1($false)
| f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ epred10_0
| f1($false)
| f1($true)
| epred13_0 )
& ( ~ epred11_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred13_0 )
& ( ~ f1($false)
| f1($false)
| f1($true)
| epred13_0 )
& ( ~ epred11_0
| ~ epred10_0
| ~ f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ epred10_0
| ~ f1($true)
| epred13_0 )
& ( ~ epred11_0
| ~ f1($true)
| ~ f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ f1($true)
| epred13_0 )
& ( ~ f1($false)
| ~ f1($true)
| epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
cnf(c_0_98,plain,
( f2($true)
| epred10_0
| ~ f3($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_99,plain,
( epred11_0
| epred10_0
| ~ f3($false)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
fof(c_0_100,plain,
( epred6_0
<=> ( ( ( ( epred3_0
| ~ f1($true) )
& ( epred4_0
| ~ f1($false) ) )
| f0($true) )
& ( ( ( epred3_0
| f1($true) )
& ( epred4_0
| f1($false) ) )
| f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_47,c_0_41]),c_0_25]),c_0_41]),c_0_25]) ).
cnf(c_0_101,plain,
( epred4_0
| ~ f2($false)
| ~ f2($true) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_102,plain,
( epred4_0
| epred3_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_103,plain,
( epred14_0
| ~ f0($false)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( epred14_0
| epred6_0
| f0($true) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,plain,
( epred13_0
| ~ epred11_0
| ~ f1($true)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,plain,
( f3($false)
| epred11_0
| ~ f2($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_107,plain,
( epred11_0
| epred10_0
| ~ f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_91]),c_0_99]) ).
fof(c_0_108,plain,
( epred12_0
<=> ( ( ( ( epred10_0
| ~ f1($true) )
& ( epred11_0
| ~ f1($false) ) )
| ~ f1($true) )
& ( ( ( epred10_0
| f1($true) )
& ( epred11_0
| f1($false) ) )
| ~ f1($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_74,c_0_24]),c_0_18]),c_0_24]),c_0_18]) ).
fof(c_0_109,plain,
( ( epred3_0
| ~ f1($true)
| f0($true)
| ~ epred6_0 )
& ( epred4_0
| ~ f1($false)
| f0($true)
| ~ epred6_0 )
& ( epred3_0
| f1($true)
| f0($false)
| ~ epred6_0 )
& ( epred4_0
| f1($false)
| f0($false)
| ~ epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ f1($false)
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ f1($true)
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ f0($false)
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| epred6_0 )
& ( ~ f1($false)
| ~ epred3_0
| f1($false)
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ f1($true)
| f1($false)
| ~ epred3_0
| epred6_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred3_0
| epred6_0 )
& ( ~ f0($false)
| f1($false)
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| f1($true)
| epred6_0 )
& ( ~ f1($false)
| ~ epred3_0
| ~ epred4_0
| f1($true)
| epred6_0 )
& ( ~ epred4_0
| ~ f1($true)
| ~ epred4_0
| f1($true)
| epred6_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred4_0
| f1($true)
| epred6_0 )
& ( ~ f0($false)
| ~ epred4_0
| f1($true)
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| f1($false)
| f1($true)
| epred6_0 )
& ( ~ f1($false)
| ~ epred3_0
| f1($false)
| f1($true)
| epred6_0 )
& ( ~ epred4_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred6_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred6_0 )
& ( ~ f0($false)
| f1($false)
| f1($true)
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ f0($true)
| epred6_0 )
& ( ~ f1($false)
| ~ epred3_0
| ~ f0($true)
| epred6_0 )
& ( ~ epred4_0
| ~ f1($true)
| ~ f0($true)
| epred6_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ f0($true)
| epred6_0 )
& ( ~ f0($false)
| ~ f0($true)
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])]) ).
cnf(c_0_110,plain,
( epred4_0
| epred3_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
( epred14_0
| epred6_0
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_112,plain,
( f1($true)
| epred13_0
| ~ f1($false)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_113,plain,
( epred13_0
| ~ epred11_0
| ~ f1($true) ),
inference(cn,[status(thm)],[c_0_105]) ).
cnf(c_0_114,plain,
( f2($false)
| f3($false)
| epred10_0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_115,plain,
( epred11_0
| epred10_0
| ~ f2($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_91]),c_0_107]) ).
fof(c_0_116,plain,
( ( epred10_0
| ~ f1($true)
| ~ f1($true)
| ~ epred12_0 )
& ( epred11_0
| ~ f1($false)
| ~ f1($true)
| ~ epred12_0 )
& ( epred10_0
| f1($true)
| ~ f1($false)
| ~ epred12_0 )
& ( epred11_0
| f1($false)
| ~ f1($false)
| ~ epred12_0 )
& ( ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| epred12_0 )
& ( ~ f1($false)
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0
| epred12_0 )
& ( ~ epred11_0
| ~ f1($true)
| ~ epred11_0
| ~ epred10_0
| epred12_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred11_0
| ~ epred10_0
| epred12_0 )
& ( f1($false)
| ~ epred11_0
| ~ epred10_0
| epred12_0 )
& ( ~ epred11_0
| ~ epred10_0
| f1($false)
| ~ epred10_0
| epred12_0 )
& ( ~ f1($false)
| ~ epred10_0
| f1($false)
| ~ epred10_0
| epred12_0 )
& ( ~ epred11_0
| ~ f1($true)
| f1($false)
| ~ epred10_0
| epred12_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred10_0
| epred12_0 )
& ( f1($false)
| f1($false)
| ~ epred10_0
| epred12_0 )
& ( ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| f1($true)
| epred12_0 )
& ( ~ f1($false)
| ~ epred10_0
| ~ epred11_0
| f1($true)
| epred12_0 )
& ( ~ epred11_0
| ~ f1($true)
| ~ epred11_0
| f1($true)
| epred12_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred11_0
| f1($true)
| epred12_0 )
& ( f1($false)
| ~ epred11_0
| f1($true)
| epred12_0 )
& ( ~ epred11_0
| ~ epred10_0
| f1($false)
| f1($true)
| epred12_0 )
& ( ~ f1($false)
| ~ epred10_0
| f1($false)
| f1($true)
| epred12_0 )
& ( ~ epred11_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred12_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred12_0 )
& ( f1($false)
| f1($false)
| f1($true)
| epred12_0 )
& ( ~ epred11_0
| ~ epred10_0
| f1($true)
| epred12_0 )
& ( ~ f1($false)
| ~ epred10_0
| f1($true)
| epred12_0 )
& ( ~ epred11_0
| ~ f1($true)
| f1($true)
| epred12_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($true)
| epred12_0 )
& ( f1($false)
| f1($true)
| epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])]) ).
cnf(c_0_117,plain,
( f1($true)
| epred6_0
| ~ f0($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_118,plain,
( epred4_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_93]),c_0_110]) ).
cnf(c_0_119,plain,
( epred12_0
| f1($true)
| f0($false)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_120,negated_conjecture,
( epred14_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_96]),c_0_111]) ).
cnf(c_0_121,plain,
( epred13_0
| ~ epred11_0
| ~ f1($false) ),
inference(csr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_122,plain,
( epred11_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_91]),c_0_115]),c_0_107]) ).
cnf(c_0_123,plain,
( f1($false)
| f1($false)
| epred12_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
fof(c_0_124,plain,
( epred5_0
<=> ( ( ( ( epred3_0
| ~ f1($true) )
& ( epred4_0
| ~ f1($false) ) )
| ~ f0($true) )
& ( ( ( epred3_0
| f1($true) )
& ( epred4_0
| f1($false) ) )
| ~ f0($false) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_46,c_0_41]),c_0_25]),c_0_41]),c_0_25]) ).
cnf(c_0_125,plain,
( epred12_0
| f0($true)
| ~ f1($true)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_126,plain,
( epred6_0
| epred3_0
| f1($true)
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,negated_conjecture,
( epred12_0
| epred6_0
| f1($true)
| f0($false) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_128,plain,
( epred13_0
| f1($false)
| f0($false)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_129,plain,
( epred13_0
| epred10_0
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_130,plain,
( f1($false)
| f1($true)
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_131,plain,
( epred13_0
| epred10_0
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_113,c_0_122]) ).
cnf(c_0_132,plain,
( f1($true)
| epred12_0
| ~ f1($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_133,plain,
( epred12_0
| f1($false)
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_123]) ).
fof(c_0_134,plain,
( ( epred3_0
| ~ f1($true)
| ~ f0($true)
| ~ epred5_0 )
& ( epred4_0
| ~ f1($false)
| ~ f0($true)
| ~ epred5_0 )
& ( epred3_0
| f1($true)
| ~ f0($false)
| ~ epred5_0 )
& ( epred4_0
| f1($false)
| ~ f0($false)
| ~ epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ f1($false)
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ f1($true)
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( f0($false)
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| f1($false)
| ~ epred3_0
| epred5_0 )
& ( ~ f1($false)
| ~ epred3_0
| f1($false)
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ f1($true)
| f1($false)
| ~ epred3_0
| epred5_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| ~ epred3_0
| epred5_0 )
& ( f0($false)
| f1($false)
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| f1($true)
| epred5_0 )
& ( ~ f1($false)
| ~ epred3_0
| ~ epred4_0
| f1($true)
| epred5_0 )
& ( ~ epred4_0
| ~ f1($true)
| ~ epred4_0
| f1($true)
| epred5_0 )
& ( ~ f1($false)
| ~ f1($true)
| ~ epred4_0
| f1($true)
| epred5_0 )
& ( f0($false)
| ~ epred4_0
| f1($true)
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| f1($false)
| f1($true)
| epred5_0 )
& ( ~ f1($false)
| ~ epred3_0
| f1($false)
| f1($true)
| epred5_0 )
& ( ~ epred4_0
| ~ f1($true)
| f1($false)
| f1($true)
| epred5_0 )
& ( ~ f1($false)
| ~ f1($true)
| f1($false)
| f1($true)
| epred5_0 )
& ( f0($false)
| f1($false)
| f1($true)
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| f0($true)
| epred5_0 )
& ( ~ f1($false)
| ~ epred3_0
| f0($true)
| epred5_0 )
& ( ~ epred4_0
| ~ f1($true)
| f0($true)
| epred5_0 )
& ( ~ f1($false)
| ~ f1($true)
| f0($true)
| epred5_0 )
& ( f0($false)
| f0($true)
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])]) ).
cnf(c_0_135,plain,
( epred10_0
| ~ f1($true)
| ~ f1($true)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_136,plain,
( epred6_0
| ~ epred4_0
| ~ f1($true)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_137,plain,
( epred12_0
| epred6_0
| f0($true)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_125,c_0_120]) ).
cnf(c_0_138,negated_conjecture,
( epred12_0
| epred6_0
| epred3_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_139,plain,
( f1($false)
| f1($true)
| epred6_0
| ~ f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_140,negated_conjecture,
( epred13_0
| epred6_0
| f1($false)
| f0($false) ),
inference(spm,[status(thm)],[c_0_128,c_0_120]) ).
cnf(c_0_141,plain,
( f1($true)
| epred14_0
| ~ f0($false)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_142,plain,
( epred13_0
| epred12_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_143,plain,
( epred12_0
| f1($true)
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_144,plain,
( f0($false)
| f1($true)
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_145,plain,
( epred10_0
| f1($true)
| ~ f1($false)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_146,plain,
( epred10_0
| ~ epred12_0
| ~ f1($true) ),
inference(cn,[status(thm)],[c_0_135]) ).
cnf(c_0_147,plain,
( epred6_0
| epred3_0
| ~ f1($true)
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_136,c_0_118]) ).
cnf(c_0_148,plain,
( epred12_0
| epred6_0
| epred3_0
| f0($true) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_149,plain,
( epred13_0
| epred6_0
| f1($false)
| f1($true) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_150,plain,
( f0($true)
| epred5_0
| ~ epred4_0
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_151,plain,
( epred14_0
| epred12_0
| f1($true)
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_152,plain,
( epred5_0
| epred3_0
| f1($true)
| f0($false) ),
inference(spm,[status(thm)],[c_0_144,c_0_118]) ).
cnf(c_0_153,plain,
( epred7_0
| ~ epred6_0
| ~ f0($true)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_154,plain,
( epred10_0
| ~ epred12_0
| ~ f1($false) ),
inference(csr,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_155,plain,
( epred12_0
| epred6_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_138]) ).
cnf(c_0_156,plain,
( epred10_0
| f1($true)
| f1($false)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_157,plain,
( epred13_0
| epred10_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_149]),c_0_131]) ).
cnf(c_0_158,plain,
( epred14_0
| ~ epred13_0
| ~ f1($true)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_159,plain,
( epred5_0
| epred3_0
| f0($true)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_150,c_0_118]) ).
cnf(c_0_160,plain,
( epred14_0
| epred12_0
| epred5_0
| epred3_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_161,plain,
( f0($true)
| epred7_0
| ~ f0($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_162,plain,
( epred7_0
| ~ epred6_0
| ~ f0($true) ),
inference(cn,[status(thm)],[c_0_153]) ).
cnf(c_0_163,plain,
( epred10_0
| epred6_0
| epred3_0
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_164,plain,
( epred10_0
| epred6_0
| f1($false)
| f1($true) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_165,plain,
( epred10_0
| epred6_0
| epred3_0
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_146,c_0_155]) ).
cnf(c_0_166,plain,
( f1($false)
| f1($true)
| epred14_0
| ~ f0($false) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_167,plain,
( f0($false)
| f1($false)
| f1($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_168,plain,
( epred14_0
| epred10_0
| ~ f1($true)
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_142]),c_0_146]) ).
cnf(c_0_169,plain,
( epred14_0
| epred12_0
| epred5_0
| epred3_0
| f0($true) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_170,plain,
( epred7_0
| ~ epred6_0
| ~ f0($false) ),
inference(csr,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_171,plain,
( epred10_0
| epred6_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).
cnf(c_0_172,plain,
( epred14_0
| epred5_0
| f1($false)
| f1($true) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_173,negated_conjecture,
( ~ epred7_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_174,plain,
( epred14_0
| epred12_0
| epred10_0
| epred5_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_160]) ).
cnf(c_0_175,plain,
( epred10_0
| epred7_0
| epred3_0
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,plain,
( f0($false)
| f0($true)
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_177,plain,
( epred10_0
| epred7_0
| epred3_0
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_162,c_0_171]) ).
cnf(c_0_178,plain,
( epred14_0
| epred13_0
| epred10_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_172]),c_0_131]) ).
cnf(c_0_179,plain,
( epred14_0
| ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_180,negated_conjecture,
( epred12_0
| epred10_0
| epred5_0
| epred3_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_181,plain,
( epred10_0
| epred7_0
| epred5_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( epred13_0
| epred10_0
| epred5_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_178]) ).
cnf(c_0_183,plain,
( epred14_0
| ~ epred12_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_179]) ).
cnf(c_0_184,negated_conjecture,
( epred12_0
| epred10_0
| epred5_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_185,negated_conjecture,
( epred13_0
| epred10_0
| epred5_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_181]) ).
cnf(c_0_186,plain,
( epred14_0
| epred10_0
| epred5_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).
cnf(c_0_187,plain,
( epred3_0
| f0($true)
| ~ f1($true)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_188,plain,
( epred3_0
| ~ f1($true)
| ~ f0($true)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_189,negated_conjecture,
( epred10_0
| epred5_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_186]),c_0_181]) ).
cnf(c_0_190,plain,
( epred10_0
| epred3_0
| f0($true)
| ~ f1($true) ),
inference(spm,[status(thm)],[c_0_187,c_0_171]) ).
cnf(c_0_191,plain,
( epred1_0
| ~ f2($true)
| ~ f2($true)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_192,plain,
( epred3_0
| f1($true)
| ~ f0($false)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_193,plain,
( epred10_0
| epred3_0
| ~ f1($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
cnf(c_0_194,plain,
( epred1_0
| f2($true)
| ~ f2($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_195,plain,
( epred1_0
| ~ epred3_0
| ~ f2($true) ),
inference(cn,[status(thm)],[c_0_191]) ).
cnf(c_0_196,plain,
( epred3_0
| f1($true)
| f0($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_197,plain,
( epred10_0
| epred3_0
| ~ f0($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_189]),c_0_193]) ).
cnf(c_0_198,plain,
( epred8_0
| epred1_0
| f2($true)
| x ),
inference(spm,[status(thm)],[c_0_10,c_0_22]) ).
cnf(c_0_199,plain,
( epred10_0
| epred8_0
| f2($true)
| x ),
inference(spm,[status(thm)],[c_0_59,c_0_21]) ).
cnf(c_0_200,plain,
( epred1_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_194,c_0_9]),c_0_195]) ).
cnf(c_0_201,plain,
( epred10_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_171]),c_0_197]),c_0_193]) ).
cnf(c_0_202,plain,
( epred11_0
| epred8_0
| epred1_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_198]),c_0_21]) ).
cnf(c_0_203,plain,
( epred10_0
| epred8_0
| epred2_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_199]),c_0_22]) ).
cnf(c_0_204,plain,
( x
| ~ f3($false)
| ~ f2($true)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_205,plain,
( epred10_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_206,plain,
( epred11_0
| epred8_0
| epred1_0
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_202]),c_0_67]) ).
cnf(c_0_207,plain,
( epred10_0
| epred8_0
| epred2_0
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_203]),c_0_59]) ).
cnf(c_0_208,plain,
( ~ x
| ~ f3($true)
| ~ f3($true)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_209,plain,
( ~ x
| ~ f3($true)
| ~ f2($true)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_210,plain,
( epred10_0
| x
| ~ f3($false)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_211,plain,
( epred11_0
| epred8_0
| epred1_0
| f2($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_9]),c_0_206]) ).
cnf(c_0_212,plain,
( epred10_0
| epred8_0
| epred2_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_207,c_0_79]) ).
cnf(c_0_213,plain,
( x
| ~ f3($false)
| ~ f3($true)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_214,plain,
( ~ x
| ~ epred8_0
| ~ f3($true) ),
inference(cn,[status(thm)],[c_0_208]) ).
cnf(c_0_215,plain,
( epred10_0
| ~ f3($true)
| ~ f2($true)
| ~ x ),
inference(spm,[status(thm)],[c_0_209,c_0_205]) ).
cnf(c_0_216,plain,
( epred10_0
| epred8_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_199]),c_0_22]) ).
cnf(c_0_217,plain,
( epred11_0
| epred8_0
| epred1_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_70,c_0_211]) ).
cnf(c_0_218,plain,
( epred10_0
| epred8_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_203]),c_0_212]),c_0_207]) ).
cnf(c_0_219,plain,
( f3($true)
| ~ x
| ~ f3($false)
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_220,plain,
( ~ epred8_0
| ~ f3($true)
| ~ f3($false) ),
inference(csr,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_221,plain,
( f3($true)
| ~ x
| ~ f2($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_222,plain,
( epred10_0
| epred8_0
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_59]) ).
cnf(c_0_223,plain,
( epred11_0
| epred8_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_202]),c_0_217]),c_0_206]) ).
cnf(c_0_224,plain,
( epred10_0
| epred2_0
| f2($true)
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_98,c_0_218]) ).
cnf(c_0_225,plain,
( epred10_0
| epred2_0
| f3($false)
| f2($true)
| x ),
inference(spm,[status(thm)],[c_0_8,c_0_58]) ).
cnf(c_0_226,plain,
( ~ epred8_0
| ~ f3($false)
| ~ x ),
inference(csr,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_227,plain,
( epred10_0
| f3($true)
| ~ f2($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_221,c_0_205]) ).
cnf(c_0_228,plain,
( epred10_0
| epred8_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_222,c_0_79]) ).
cnf(c_0_229,plain,
( epred11_0
| epred1_0
| f3($false)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_106,c_0_223]) ).
cnf(c_0_230,plain,
( epred10_0
| epred2_0
| f2($true)
| x ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_231,plain,
( epred10_0
| epred2_0
| ~ f3($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_226,c_0_218]) ).
cnf(c_0_232,plain,
( epred10_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_216]),c_0_228]),c_0_222]) ).
cnf(c_0_233,plain,
( epred11_0
| epred1_0
| f3($false)
| f2($true) ),
inference(spm,[status(thm)],[c_0_229,c_0_9]) ).
cnf(c_0_234,plain,
( epred10_0
| epred2_0
| ~ f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_230]),c_0_231]) ).
cnf(c_0_235,plain,
( epred10_0
| f3($false)
| f2($false) ),
inference(spm,[status(thm)],[c_0_114,c_0_232]) ).
cnf(c_0_236,plain,
( epred11_0
| epred1_0
| ~ f3($false)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_90,c_0_223]) ).
cnf(c_0_237,plain,
( epred11_0
| epred1_0
| f2($true)
| x ),
inference(spm,[status(thm)],[c_0_10,c_0_233]) ).
cnf(c_0_238,plain,
( epred11_0
| epred1_0
| ~ f3($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_226,c_0_223]) ).
cnf(c_0_239,plain,
( epred10_0
| epred2_0
| x
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_17,c_0_230]) ).
cnf(c_0_240,plain,
( epred10_0
| epred2_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_241,plain,
( f3($false)
| f3($true)
| epred2_0
| ~ f2($false) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_242,plain,
( epred11_0
| epred1_0
| ~ f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).
cnf(c_0_243,plain,
( epred2_0
| f2($false)
| f2($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_244,plain,
( epred10_0
| ~ f3($true)
| ~ x ),
inference(spm,[status(thm)],[c_0_214,c_0_232]) ).
cnf(c_0_245,plain,
( epred10_0
| epred2_0
| x ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_246,plain,
( epred10_0
| epred2_0
| f3($false)
| f3($true)
| f2($true) ),
inference(spm,[status(thm)],[c_0_241,c_0_58]) ).
cnf(c_0_247,plain,
( epred13_0
| f0($true)
| ~ f1($false)
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_248,plain,
( epred11_0
| epred1_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_242,c_0_233]) ).
cnf(c_0_249,plain,
( epred2_0
| f2($true)
| ~ f2($false)
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_250,plain,
( epred2_0
| f2($false)
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_243]) ).
cnf(c_0_251,plain,
( epred10_0
| epred2_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_252,plain,
( epred10_0
| epred2_0
| f3($true)
| f2($true) ),
inference(spm,[status(thm)],[c_0_224,c_0_246]) ).
cnf(c_0_253,negated_conjecture,
( epred13_0
| epred6_0
| f0($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_247,c_0_120]) ).
cnf(c_0_254,plain,
( epred11_0
| epred1_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_70,c_0_248]) ).
cnf(c_0_255,plain,
( epred2_0
| f2($true)
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_256,plain,
( epred10_0
| epred2_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_257,plain,
( epred6_0
| ~ f0($false)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_258,plain,
( epred13_0
| epred12_0
| epred6_0
| f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_130]),c_0_137]) ).
cnf(c_0_259,plain,
( epred11_0
| epred1_0
| ~ f3($true)
| ~ x ),
inference(spm,[status(thm)],[c_0_214,c_0_223]) ).
cnf(c_0_260,plain,
( epred11_0
| epred1_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_27]),c_0_254]) ).
cnf(c_0_261,plain,
( epred3_0
| epred2_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_255,c_0_118]) ).
cnf(c_0_262,plain,
( x
| f3($false)
| ~ f2($false)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_263,plain,
( f3($true)
| f2($false)
| ~ x
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_264,plain,
( epred10_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_256]),c_0_240]) ).
cnf(c_0_265,plain,
( epred13_0
| epred12_0
| epred6_0
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_266,plain,
( epred3_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_267,plain,
( f2($false)
| f3($false)
| f3($true)
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_268,plain,
( epred11_0
| epred1_0
| ~ f3($true) ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_269,plain,
( epred3_0
| epred2_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_17,c_0_261]) ).
cnf(c_0_270,plain,
( epred10_0
| f3($false)
| x
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_262,c_0_205]) ).
cnf(c_0_271,plain,
( epred10_0
| ~ x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_227]),c_0_244]) ).
cnf(c_0_272,plain,
( epred10_0
| f2($true)
| ~ f3($false) ),
inference(spm,[status(thm)],[c_0_98,c_0_232]) ).
cnf(c_0_273,plain,
( epred11_0
| f1($false)
| f1($false)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_274,plain,
( epred13_0
| ~ f1($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_275,negated_conjecture,
( epred13_0
| epred12_0
| epred6_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_265,c_0_127]) ).
cnf(c_0_276,plain,
( epred3_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_266]) ).
cnf(c_0_277,plain,
( epred11_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_267]),c_0_254]),c_0_268]) ).
cnf(c_0_278,plain,
( epred3_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_118]),c_0_269]) ).
cnf(c_0_279,plain,
( epred10_0
| f2($true) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_58]),c_0_271]),c_0_272]) ).
cnf(c_0_280,plain,
( epred11_0
| f1($true)
| ~ f1($false)
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_281,plain,
( epred11_0
| f1($false)
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_273]) ).
cnf(c_0_282,plain,
( epred13_0
| epred12_0
| epred6_0
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_283,plain,
( f1($false)
| epred6_0
| ~ f0($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_284,plain,
( epred11_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_278]) ).
cnf(c_0_285,plain,
( epred10_0
| ~ f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_279]),c_0_271]) ).
cnf(c_0_286,plain,
( epred11_0
| f1($true)
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_287,plain,
( epred13_0
| epred12_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_140]),c_0_282]) ).
cnf(c_0_288,plain,
( epred11_0
| epred6_0
| f1($false)
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_289,plain,
( epred10_0
| f2($false) ),
inference(spm,[status(thm)],[c_0_285,c_0_235]) ).
cnf(c_0_290,plain,
( epred12_0
| epred11_0
| epred6_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_291,plain,
( epred6_0
| ~ f1($false)
| ~ epred3_0
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_292,negated_conjecture,
( epred11_0
| epred6_0
| f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_140]),c_0_281]) ).
cnf(c_0_293,plain,
epred10_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_289]),c_0_271]),c_0_285]) ).
cnf(c_0_294,plain,
( epred6_0
| ~ f1($false)
| ~ f1($true)
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_295,plain,
( epred12_0
| epred11_0
| epred6_0
| f0($true) ),
inference(spm,[status(thm)],[c_0_137,c_0_290]) ).
cnf(c_0_296,plain,
( epred12_0
| epred11_0
| epred6_0
| f1($false) ),
inference(spm,[status(thm)],[c_0_281,c_0_287]) ).
cnf(c_0_297,plain,
( epred11_0
| epred6_0
| ~ f1($false)
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_291,c_0_284]) ).
cnf(c_0_298,negated_conjecture,
( epred13_0
| epred11_0
| epred6_0
| f0($true) ),
inference(spm,[status(thm)],[c_0_253,c_0_292]) ).
cnf(c_0_299,plain,
( epred12_0
| f1($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_293])]) ).
cnf(c_0_300,plain,
( epred12_0
| f1($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_293])]) ).
cnf(c_0_301,plain,
( epred11_0
| ~ f1($false)
| ~ f1($true)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_302,plain,
( epred12_0
| epred11_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_290]) ).
cnf(c_0_303,plain,
( epred13_0
| epred11_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_292]) ).
cnf(c_0_304,plain,
( epred13_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_299]),c_0_300]) ).
cnf(c_0_305,plain,
( f0($true)
| epred5_0
| ~ f1($false)
| ~ f1($true) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_306,plain,
( epred11_0
| epred6_0
| ~ f1($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_307,plain,
( epred11_0
| epred6_0
| f1($true) ),
inference(spm,[status(thm)],[c_0_286,c_0_303]) ).
cnf(c_0_308,plain,
( epred14_0
| epred12_0
| ~ f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_304]),c_0_299]) ).
cnf(c_0_309,plain,
( epred12_0
| epred5_0
| f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_299]),c_0_300]) ).
cnf(c_0_310,plain,
( epred11_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_292]) ).
cnf(c_0_311,plain,
( epred12_0
| ~ epred11_0
| ~ epred10_0
| ~ epred11_0
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_312,plain,
( epred14_0
| epred12_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_313,plain,
( epred11_0
| epred7_0
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_170,c_0_310]) ).
cnf(c_0_314,plain,
( epred11_0
| epred7_0
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_162,c_0_310]) ).
cnf(c_0_315,plain,
( epred12_0
| ~ epred10_0
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_311]) ).
cnf(c_0_316,negated_conjecture,
( epred12_0
| epred5_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_312]) ).
cnf(c_0_317,plain,
( epred11_0
| epred7_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_176]),c_0_314]) ).
cnf(c_0_318,plain,
( epred12_0
| ~ epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_293])]) ).
cnf(c_0_319,plain,
( epred4_0
| f0($true)
| ~ f1($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_320,plain,
( f1($false)
| epred14_0
| ~ f0($false)
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_321,plain,
( epred12_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]) ).
cnf(c_0_322,plain,
( f0($false)
| f1($false)
| epred5_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_323,plain,
( epred11_0
| epred4_0
| f0($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_319,c_0_310]) ).
cnf(c_0_324,plain,
( epred4_0
| f1($false)
| f0($false)
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_325,plain,
( f0($true)
| epred5_0
| ~ f1($false)
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_326,plain,
( epred14_0
| epred5_0
| f1($false)
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_327,plain,
( epred11_0
| epred5_0
| f1($false)
| f0($false) ),
inference(spm,[status(thm)],[c_0_322,c_0_284]) ).
cnf(c_0_328,plain,
( epred12_0
| epred4_0
| f0($true) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_300]),c_0_318]) ).
cnf(c_0_329,plain,
( epred11_0
| epred4_0
| f1($false)
| f0($false) ),
inference(spm,[status(thm)],[c_0_324,c_0_310]) ).
cnf(c_0_330,plain,
( epred14_0
| ~ f1($false)
| ~ epred12_0
| ~ f0($true) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_331,plain,
( epred11_0
| epred5_0
| f0($true)
| ~ f1($false) ),
inference(spm,[status(thm)],[c_0_325,c_0_284]) ).
cnf(c_0_332,plain,
( epred14_0
| epred11_0
| epred5_0
| f1($false) ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_333,plain,
( epred14_0
| epred12_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_328]) ).
cnf(c_0_334,plain,
( epred11_0
| epred7_0
| epred4_0
| f1($false) ),
inference(spm,[status(thm)],[c_0_313,c_0_329]) ).
cnf(c_0_335,plain,
( epred14_0
| epred5_0
| ~ f1($false)
| ~ f0($true) ),
inference(spm,[status(thm)],[c_0_330,c_0_321]) ).
cnf(c_0_336,plain,
( epred14_0
| epred11_0
| epred5_0
| f0($true) ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_337,negated_conjecture,
( epred12_0
| epred4_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_333]) ).
cnf(c_0_338,plain,
( epred11_0
| epred7_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_334]),c_0_314]) ).
cnf(c_0_339,plain,
( epred14_0
| epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_332]) ).
cnf(c_0_340,plain,
( epred12_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_318]) ).
cnf(c_0_341,plain,
( epred4_0
| ~ f1($false)
| ~ f0($true)
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_342,negated_conjecture,
( epred11_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_339]),c_0_317]) ).
cnf(c_0_343,plain,
( epred14_0
| epred4_0
| f1($false)
| ~ f0($false) ),
inference(spm,[status(thm)],[c_0_320,c_0_340]) ).
cnf(c_0_344,plain,
( epred7_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_345,plain,
( epred11_0
| epred4_0
| ~ f1($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_323]) ).
cnf(c_0_346,plain,
( epred14_0
| epred11_0
| epred4_0
| f1($false) ),
inference(spm,[status(thm)],[c_0_343,c_0_329]) ).
cnf(c_0_347,plain,
( epred7_0
| ~ epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_344]) ).
cnf(c_0_348,plain,
( epred14_0
| epred11_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_349,plain,
( epred11_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_342]),c_0_310]) ).
cnf(c_0_350,negated_conjecture,
( epred11_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_348]),c_0_349]) ).
cnf(c_0_351,plain,
( epred11_0
| epred2_0
| f2($true) ),
inference(spm,[status(thm)],[c_0_255,c_0_350]) ).
cnf(c_0_352,plain,
( epred11_0
| epred2_0
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_17,c_0_351]) ).
cnf(c_0_353,plain,
( f2($true)
| ~ x
| ~ f3($true)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_354,plain,
( epred11_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_350]),c_0_352]) ).
cnf(c_0_355,plain,
( epred11_0
| ~ f3($true)
| ~ f2($true)
| ~ x ),
inference(spm,[status(thm)],[c_0_209,c_0_277]) ).
cnf(c_0_356,plain,
( x
| f2($true)
| ~ f3($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_357,plain,
( epred11_0
| x
| ~ f3($false)
| ~ f2($true) ),
inference(spm,[status(thm)],[c_0_204,c_0_277]) ).
cnf(c_0_358,plain,
( epred11_0
| f3($true)
| ~ f2($false)
| ~ x ),
inference(spm,[status(thm)],[c_0_221,c_0_277]) ).
cnf(c_0_359,plain,
( epred11_0
| ~ f3($true)
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355]) ).
cnf(c_0_360,plain,
( epred11_0
| x
| ~ f3($false) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_354]),c_0_357]) ).
cnf(c_0_361,plain,
( epred11_0
| ~ x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_354]),c_0_358]),c_0_359]) ).
cnf(c_0_362,plain,
( epred11_0
| epred8_0
| x ),
inference(spm,[status(thm)],[c_0_360,c_0_22]) ).
cnf(c_0_363,plain,
( epred11_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_364,plain,
( x
| f3($false)
| f2($false)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_365,plain,
( epred11_0
| f3($false)
| ~ f2($false) ),
inference(spm,[status(thm)],[c_0_106,c_0_363]) ).
cnf(c_0_366,plain,
( epred11_0
| f3($false) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_354]),c_0_361]),c_0_365]) ).
cnf(c_0_367,plain,
( epred9_0
| f3($false)
| ~ f2($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_368,plain,
( epred8_0
| ~ f3($true)
| ~ f2($true)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_369,plain,
( epred9_0
| f3($false)
| f2($false)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_370,plain,
epred11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_366]),c_0_361]) ).
cnf(c_0_371,plain,
( epred9_0
| f3($false)
| ~ f2($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_367,c_0_293])]) ).
cnf(c_0_372,plain,
( epred8_0
| f3($true)
| ~ f2($false)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_373,plain,
( epred8_0
| f2($true)
| ~ f3($true)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_374,plain,
( epred8_0
| ~ f3($true)
| ~ f2($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_293])]) ).
cnf(c_0_375,plain,
( x
| f3($false)
| f3($false)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_376,plain,
( epred9_0
| ~ f3($false)
| ~ f2($true)
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_377,plain,
( epred9_0
| f2($true)
| ~ f3($false)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_378,plain,
( epred9_0
| f3($false) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_370])]),c_0_371]) ).
cnf(c_0_379,plain,
( epred8_0
| f3($true)
| f2($false)
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_380,plain,
( epred8_0
| f3($true)
| ~ f2($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_293])]) ).
cnf(c_0_381,plain,
( epred8_0
| ~ f3($true) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_370])]),c_0_374]) ).
cnf(c_0_382,plain,
( x
| f3($true)
| ~ f3($false)
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_383,plain,
( x
| f3($false)
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_375]) ).
cnf(c_0_384,plain,
( epred9_0
| ~ f3($false)
| ~ f2($true) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_293])]) ).
cnf(c_0_385,plain,
( epred9_0
| f2($true) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_370])]),c_0_378]) ).
cnf(c_0_386,plain,
epred8_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_370])]),c_0_380]),c_0_381]) ).
cnf(c_0_387,plain,
( f3($true)
| x
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_388,plain,
epred9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_378]) ).
cnf(c_0_389,plain,
( ~ f3($true)
| ~ f3($false) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_386])]) ).
cnf(c_0_390,plain,
( f3($true)
| x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_388])]) ).
cnf(c_0_391,plain,
( ~ f3($false)
| ~ x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_386])]) ).
cnf(c_0_392,plain,
~ f3($false),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_391]) ).
cnf(c_0_393,plain,
( f3($true)
| f3($false)
| ~ x
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_394,plain,
( ~ f3($true)
| ~ x ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_386])]) ).
cnf(c_0_395,plain,
x,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_388])]),c_0_392]) ).
cnf(c_0_396,plain,
( f3($false)
| f3($true)
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_393,c_0_387]) ).
cnf(c_0_397,plain,
~ f3($true),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_395])]) ).
cnf(c_0_398,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_388])]),c_0_397]),c_0_392]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO500_8.004 : TPTP v8.2.0. Released v8.0.0.
% 0.14/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:54:08 EDT 2024
% 0.22/0.35 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.02/0.62 # Version: 3.1.0
% 1.02/0.62 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.02/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.02/0.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.02/0.62 # Starting new_bool_3 with 300s (1) cores
% 1.02/0.62 # Starting new_bool_1 with 300s (1) cores
% 1.02/0.62 # Starting sh5l with 300s (1) cores
% 1.02/0.62 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 9164 completed with status 0
% 1.02/0.62 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 1.02/0.62 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.02/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.02/0.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.02/0.62 # No SInE strategy applied
% 1.02/0.62 # Search class: FGHNF-FSMM00-SFFFFFNN
% 1.02/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.02/0.62 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 811s (1) cores
% 1.02/0.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.02/0.62 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 1.02/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.02/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2c with 136s (1) cores
% 1.02/0.62 # G-E--_208_C18_F1_SE_CS_SP_PS_S2c with pid 9183 completed with status 0
% 1.02/0.62 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2c
% 1.02/0.62 # Preprocessing class: FSSSSMSSSSSNFFN.
% 1.02/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.02/0.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 1.02/0.62 # No SInE strategy applied
% 1.02/0.62 # Search class: FGHNF-FSMM00-SFFFFFNN
% 1.02/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.02/0.62 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 811s (1) cores
% 1.02/0.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 1.02/0.62 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 1.02/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.02/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2c with 136s (1) cores
% 1.02/0.62 # Preprocessing time : 0.005 s
% 1.02/0.62 # Presaturation interreduction done
% 1.02/0.62
% 1.02/0.62 # Proof found!
% 1.02/0.62 # SZS status Theorem
% 1.02/0.62 # SZS output start CNFRefutation
% See solution above
% 1.02/0.62 # Parsed axioms : 6
% 1.02/0.62 # Removed by relevancy pruning/SinE : 0
% 1.02/0.62 # Initial clauses : 413
% 1.02/0.62 # Removed in clause preprocessing : 168
% 1.02/0.62 # Initial clauses in saturation : 245
% 1.02/0.62 # Processed clauses : 1437
% 1.02/0.62 # ...of these trivial : 6
% 1.02/0.62 # ...subsumed : 759
% 1.02/0.62 # ...remaining for further processing : 671
% 1.02/0.62 # Other redundant clauses eliminated : 0
% 1.02/0.62 # Clauses deleted for lack of memory : 0
% 1.02/0.62 # Backward-subsumed : 371
% 1.02/0.62 # Backward-rewritten : 110
% 1.02/0.62 # Generated clauses : 1855
% 1.02/0.62 # ...of the previous two non-redundant : 1856
% 1.02/0.62 # ...aggressively subsumed : 0
% 1.02/0.62 # Contextual simplify-reflections : 151
% 1.02/0.62 # Paramodulations : 1854
% 1.02/0.62 # Factorizations : 0
% 1.02/0.62 # NegExts : 0
% 1.02/0.62 # Equation resolutions : 0
% 1.02/0.62 # Disequality decompositions : 0
% 1.02/0.62 # Total rewrite steps : 117
% 1.02/0.62 # ...of those cached : 109
% 1.02/0.62 # Propositional unsat checks : 0
% 1.02/0.62 # Propositional check models : 0
% 1.02/0.62 # Propositional check unsatisfiable : 0
% 1.02/0.62 # Propositional clauses : 0
% 1.02/0.62 # Propositional clauses after purity: 0
% 1.02/0.62 # Propositional unsat core size : 0
% 1.02/0.62 # Propositional preprocessing time : 0.000
% 1.02/0.62 # Propositional encoding time : 0.000
% 1.02/0.62 # Propositional solver time : 0.000
% 1.02/0.62 # Success case prop preproc time : 0.000
% 1.02/0.62 # Success case prop encoding time : 0.000
% 1.02/0.62 # Success case prop solver time : 0.000
% 1.02/0.62 # Current number of processed clauses : 62
% 1.02/0.62 # Positive orientable unit clauses : 8
% 1.02/0.62 # Positive unorientable unit clauses: 0
% 1.02/0.62 # Negative unit clauses : 3
% 1.02/0.62 # Non-unit-clauses : 51
% 1.02/0.62 # Current number of unprocessed clauses: 84
% 1.02/0.62 # ...number of literals in the above : 359
% 1.02/0.62 # Current number of archived formulas : 0
% 1.02/0.62 # Current number of archived clauses : 609
% 1.02/0.62 # Clause-clause subsumption calls (NU) : 47366
% 1.02/0.62 # Rec. Clause-clause subsumption calls : 17465
% 1.02/0.62 # Non-unit clause-clause subsumptions : 1259
% 1.02/0.62 # Unit Clause-clause subsumption calls : 555
% 1.02/0.62 # Rewrite failures with RHS unbound : 0
% 1.02/0.62 # BW rewrite match attempts : 8
% 1.02/0.62 # BW rewrite match successes : 8
% 1.02/0.62 # Condensation attempts : 0
% 1.02/0.62 # Condensation successes : 0
% 1.02/0.62 # Termbank termtop insertions : 35501
% 1.02/0.62 # Search garbage collected termcells : 2455
% 1.02/0.62
% 1.02/0.62 # -------------------------------------------------
% 1.02/0.62 # User time : 0.104 s
% 1.02/0.62 # System time : 0.007 s
% 1.02/0.62 # Total time : 0.111 s
% 1.02/0.62 # Maximum resident set size: 2320 pages
% 1.02/0.62
% 1.02/0.62 # -------------------------------------------------
% 1.02/0.62 # User time : 0.459 s
% 1.02/0.62 # System time : 0.020 s
% 1.02/0.62 # Total time : 0.479 s
% 1.02/0.62 # Maximum resident set size: 1752 pages
% 1.02/0.62 % E---3.1 exiting
% 1.02/0.62 % E exiting
%------------------------------------------------------------------------------