%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO500^1.007 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 08:46:29 EDT 2024
% Result : Timeout 3.11s 300.06s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 61
% Syntax : Number of formulae : 722 ( 10 unt; 34 typ; 0 def)
% Number of atoms : 281164 ( 0 equ; 0 cnn)
% Maximal formula atoms : 81917 ( 408 avg)
% Number of connectives : 365656 (85180 ~;113553 |;55397 &;111476 @)
% ( 50 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 34 usr; 29 con; 0-1 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
x: $o ).
thf(decl_23,type,
f0: $o > $o ).
thf(decl_24,type,
f1: $o > $o ).
thf(decl_25,type,
f2: $o > $o ).
thf(decl_26,type,
f3: $o > $o ).
thf(decl_27,type,
f4: $o > $o ).
thf(decl_28,type,
f5: $o > $o ).
thf(decl_29,type,
f6: $o > $o ).
thf(decl_30,type,
epred1_0: $o ).
thf(decl_31,type,
epred2_0: $o ).
thf(decl_32,type,
epred3_0: $o ).
thf(decl_33,type,
epred4_0: $o ).
thf(decl_34,type,
epred5_0: $o ).
thf(decl_35,type,
epred6_0: $o ).
thf(decl_36,type,
epred7_0: $o ).
thf(decl_37,type,
epred8_0: $o ).
thf(decl_38,type,
epred9_0: $o ).
thf(decl_39,type,
epred10_0: $o ).
thf(decl_40,type,
epred11_0: $o ).
thf(decl_41,type,
epred12_0: $o ).
thf(decl_42,type,
epred13_0: $o ).
thf(decl_43,type,
epred14_0: $o ).
thf(decl_44,type,
epred15_0: $o ).
thf(decl_45,type,
epred16_0: $o ).
thf(decl_46,type,
epred17_0: $o ).
thf(decl_47,type,
epred18_0: $o ).
thf(decl_48,type,
epred19_0: $o ).
thf(decl_49,type,
epred20_0: $o ).
thf(decl_50,type,
epred21_0: $o ).
thf(decl_51,type,
epred22_0: $o ).
thf(decl_52,type,
epred23_0: $o ).
thf(decl_53,type,
epred24_0: $o ).
thf(decl_54,type,
epred25_0: $o ).
thf(decl_55,type,
epred26_0: $o ).
thf(kaminski7,conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) )
<=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ ( f6 @ ( f6 @ ( f6 @ x ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski7) ).
thf(c_0_1,plain,
( epred2_0
<=> ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
( epred11_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
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introduced(definition) ).
thf(c_0_3,plain,
( epred9_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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introduced(definition) ).
thf(c_0_4,plain,
( epred10_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_5,plain,
( epred1_0
<=> ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_6,plain,
( ( ~ x
| ~ ( f6 @ $true )
| ( f5 @ $true )
| ~ epred2_0 )
& ( x
| ~ ( f6 @ $false )
| ( f5 @ $true )
| ~ epred2_0 )
& ( ~ x
| ( f6 @ $true )
| ( f5 @ $false )
| ~ epred2_0 )
& ( x
| ( f6 @ $false )
| ( f5 @ $false )
| ~ epred2_0 )
& ( ~ x
| x
| ~ x
| x
| epred2_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| x
| epred2_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| x
| epred2_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| x
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ x
| x
| epred2_0 )
& ( ~ x
| x
| ( f6 @ $false )
| x
| epred2_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| x
| epred2_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred2_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred2_0 )
& ( ~ ( f5 @ $false )
| ( f6 @ $false )
| x
| epred2_0 )
& ( ~ x
| x
| ~ x
| ( f6 @ $true )
| epred2_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| ( f6 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred2_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ x
| ( f6 @ $true )
| epred2_0 )
& ( ~ x
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred2_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred2_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| ( f6 @ $false )
| ( f6 @ $true )
| epred2_0 )
& ( ~ x
| x
| ~ ( f5 @ $true )
| epred2_0 )
& ( ~ ( f6 @ $false )
| x
| ~ ( f5 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| epred2_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
thf(c_0_7,plain,
( epred26_0
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
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| ( f0 @ $false ) ) )
| ( f0 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_8,plain,
( epred23_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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& ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f4 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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& ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_9,plain,
( epred24_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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introduced(definition) ).
thf(c_0_10,plain,
( epred12_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
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& ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_11,plain,
( epred25_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f5 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( x
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| ( f6 @ $true ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f0 @ $false ) ) )
| ~ ( f0 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_12,plain,
( epred11_0
<=> ( ( ( ( epred9_0
| ~ ( f1 @ $true ) )
& ( epred10_0
| ~ ( f1 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( epred9_0
| ( f1 @ $true ) )
& ( epred10_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_2,c_0_3]),c_0_4]),c_0_3]),c_0_4]) ).
thf(c_0_13,plain,
( ( ~ x
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| ~ epred1_0 )
& ( x
| ~ ( f6 @ $false )
| ~ ( f5 @ $true )
| ~ epred1_0 )
& ( ~ x
| ( f6 @ $true )
| ~ ( f5 @ $false )
| ~ epred1_0 )
& ( x
| ( f6 @ $false )
| ~ ( f5 @ $false )
| ~ epred1_0 )
& ( ~ x
| x
| ~ x
| x
| epred1_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| x
| epred1_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| x
| epred1_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| x
| epred1_0 )
& ( ( f5 @ $false )
| ~ x
| x
| epred1_0 )
& ( ~ x
| x
| ( f6 @ $false )
| x
| epred1_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| x
| epred1_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred1_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred1_0 )
& ( ( f5 @ $false )
| ( f6 @ $false )
| x
| epred1_0 )
& ( ~ x
| x
| ~ x
| ( f6 @ $true )
| epred1_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| ( f6 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred1_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred1_0 )
& ( ( f5 @ $false )
| ~ x
| ( f6 @ $true )
| epred1_0 )
& ( ~ x
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred1_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred1_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred1_0 )
& ( ( f5 @ $false )
| ( f6 @ $false )
| ( f6 @ $true )
| epred1_0 )
& ( ~ x
| x
| ( f5 @ $true )
| epred1_0 )
& ( ~ ( f6 @ $false )
| x
| ( f5 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f5 @ $true )
| epred1_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f5 @ $true )
| epred1_0 )
& ( ( f5 @ $false )
| ( f5 @ $true )
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
thf(c_0_14,plain,
( ( f5 @ $true )
| ~ x
| ~ ( f6 @ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_15,plain,
( ( f6 @ $true )
| ( f5 @ ~ $true )
| ~ x
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_16,plain,
( epred26_0
<=> ( ( ( ( epred23_0
| ~ ( f0 @ $true ) )
& ( epred24_0
| ~ ( f0 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( epred23_0
| ( f0 @ $true ) )
& ( epred24_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_7,c_0_8]),c_0_9]),c_0_8]),c_0_9]) ).
thf(c_0_17,negated_conjecture,
~ ( ( ( epred11_0
| ( f0 @ $true ) )
& ( epred12_0
| ( f0 @ $false ) ) )
<=> ( ( epred25_0
| ( f0 @ $true ) )
& ( epred26_0
| ( f0 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski7])]),c_0_2]),c_0_10]),c_0_11]),c_0_7]) ).
thf(c_0_18,plain,
( ( epred9_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| ~ epred11_0 )
& ( epred10_0
| ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred11_0 )
& ( epred9_0
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ epred11_0 )
& ( epred10_0
| ( f1 @ $false )
| ~ ( f1 @ $false )
| ~ epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ( f1 @ $false )
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ( f1 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ( f1 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ( f1 @ $false )
| ( f1 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ( f1 @ $true )
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ~ epred10_0
| ( f1 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ~ epred10_0
| ( f1 @ $true )
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred10_0
| ( f1 @ $true )
| epred11_0 )
& ( ( f1 @ $false )
| ~ epred10_0
| ( f1 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred11_0 )
& ( ( f1 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ( f1 @ $true )
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ( f1 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ( f1 @ $true )
| epred11_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $true )
| epred11_0 )
& ( ( f1 @ $false )
| ( f1 @ $true )
| epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
thf(c_0_19,plain,
( ~ x
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,plain,
( ( f6 @ $true )
| ~ x
| ~ ( f5 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_21,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| ~ x
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_22,plain,
( epred4_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_23,plain,
( epred21_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
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| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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introduced(definition) ).
thf(c_0_24,plain,
( epred19_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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& ( x
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f6 @ $false ) ) )
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| ( f4 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ~ x
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $false ) ) )
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introduced(definition) ).
thf(c_0_25,plain,
( epred20_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ~ x
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| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_26,plain,
( epred12_0
<=> ( ( ( ( epred9_0
| ~ ( f1 @ $true ) )
& ( epred10_0
| ~ ( f1 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( epred9_0
| ( f1 @ $true ) )
& ( epred10_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_10,c_0_3]),c_0_4]),c_0_3]),c_0_4]) ).
thf(c_0_27,plain,
( ( epred23_0
| ~ ( f0 @ $true )
| ( f0 @ $true )
| ~ epred26_0 )
& ( epred24_0
| ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ epred26_0 )
& ( epred23_0
| ( f0 @ $true )
| ( f0 @ $false )
| ~ epred26_0 )
& ( epred24_0
| ( f0 @ $false )
| ( f0 @ $false )
| ~ epred26_0 )
& ( ~ epred24_0
| ~ epred23_0
| ~ epred24_0
| ~ epred23_0
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ~ epred24_0
| ~ epred23_0
| epred26_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ~ epred24_0
| ~ epred23_0
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred24_0
| ~ epred23_0
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ epred24_0
| ~ epred23_0
| epred26_0 )
& ( ~ epred24_0
| ~ epred23_0
| ( f0 @ $false )
| ~ epred23_0
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ( f0 @ $false )
| ~ epred23_0
| epred26_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred23_0
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred23_0
| epred26_0 )
& ( ~ ( f0 @ $false )
| ( f0 @ $false )
| ~ epred23_0
| epred26_0 )
& ( ~ epred24_0
| ~ epred23_0
| ~ epred24_0
| ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ~ epred24_0
| ( f0 @ $true )
| epred26_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ~ epred24_0
| ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred24_0
| ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ epred24_0
| ( f0 @ $true )
| epred26_0 )
& ( ~ epred24_0
| ~ epred23_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred26_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ( f0 @ $false )
| ( f0 @ $true )
| epred26_0 )
& ( ~ epred24_0
| ~ epred23_0
| ~ ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ~ ( f0 @ $true )
| epred26_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| epred26_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| epred26_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
thf(c_0_28,negated_conjecture,
( ( ~ epred26_0
| ~ epred25_0
| ~ epred12_0
| ~ epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred25_0
| ~ epred12_0
| ~ epred11_0 )
& ( ~ epred26_0
| ~ ( f0 @ $true )
| ~ epred12_0
| ~ epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred12_0
| ~ epred11_0 )
& ( ~ epred26_0
| ~ epred25_0
| ~ ( f0 @ $false )
| ~ epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred25_0
| ~ ( f0 @ $false )
| ~ epred11_0 )
& ( ~ epred26_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ epred11_0 )
& ( ~ epred26_0
| ~ epred25_0
| ~ epred12_0
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ epred25_0
| ~ epred12_0
| ~ ( f0 @ $true ) )
& ( ~ epred26_0
| ~ ( f0 @ $true )
| ~ epred12_0
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred12_0
| ~ ( f0 @ $true ) )
& ( ~ epred26_0
| ~ epred25_0
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ epred25_0
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( ~ epred26_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( epred25_0
| ( f0 @ $true )
| epred11_0
| ( f0 @ $true ) )
& ( epred26_0
| ( f0 @ $false )
| epred11_0
| ( f0 @ $true ) )
& ( epred25_0
| ( f0 @ $true )
| epred12_0
| ( f0 @ $false ) )
& ( epred26_0
| ( f0 @ $false )
| epred12_0
| ( f0 @ $false ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
thf(c_0_29,plain,
( ( f1 @ ~ $true )
| ( f1 @ ~ $true )
| epred11_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_30,plain,
( x
| ~ ( f6 @ ~ $true )
| ~ ( f5 @ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_31,plain,
( x
| ( f6 @ ~ $true )
| ~ ( f5 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_32,plain,
( ~ ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ x
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_33,plain,
( ( f5 @ $true )
| ~ x
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_21]) ).
thf(c_0_34,plain,
( epred4_0
<=> ( ( ( ( epred1_0
| ~ ( f5 @ $true ) )
& ( epred2_0
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( epred1_0
| ( f5 @ $true ) )
& ( epred2_0
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22,c_0_5]),c_0_1]),c_0_5]),c_0_1]) ).
thf(c_0_35,plain,
( epred8_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_36,plain,
( epred5_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_37,plain,
( epred6_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_38,plain,
( epred21_0
<=> ( ( ( ( epred19_0
| ~ ( f2 @ $true ) )
& ( epred20_0
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( epred19_0
| ( f2 @ $true ) )
& ( epred20_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_23,c_0_24]),c_0_25]),c_0_24]),c_0_25]) ).
thf(c_0_39,plain,
( epred22_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ~ x
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_40,plain,
( epred7_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
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& ( ( ( ~ x
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| ( f6 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $false ) ) )
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| ( f3 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
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| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $false ) ) )
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| ~ ( f6 @ $true ) )
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& ( ( ( ~ x
| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f6 @ $true ) )
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| ( f6 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_41,plain,
( ( epred9_0
| ~ ( f1 @ $true )
| ( f1 @ $true )
| ~ epred12_0 )
& ( epred10_0
| ~ ( f1 @ $false )
| ( f1 @ $true )
| ~ epred12_0 )
& ( epred9_0
| ( f1 @ $true )
| ( f1 @ $false )
| ~ epred12_0 )
& ( epred10_0
| ( f1 @ $false )
| ( f1 @ $false )
| ~ epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ epred10_0
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| ( f1 @ $false )
| ~ epred9_0
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ( f1 @ $false )
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred9_0
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred9_0
| epred12_0 )
& ( ~ ( f1 @ $false )
| ( f1 @ $false )
| ~ epred9_0
| epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ( f1 @ $true )
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ~ epred10_0
| ( f1 @ $true )
| epred12_0 )
& ( ~ epred10_0
| ~ ( f1 @ $true )
| ~ epred10_0
| ( f1 @ $true )
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred10_0
| ( f1 @ $true )
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ epred10_0
| ( f1 @ $true )
| epred12_0 )
& ( ~ epred10_0
| ~ epred9_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred12_0 )
& ( ~ epred10_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 )
& ( ~ epred10_0
| ~ epred9_0
| ~ ( f1 @ $true )
| epred12_0 )
& ( ~ ( f1 @ $false )
| ~ epred9_0
| ~ ( f1 @ $true )
| epred12_0 )
& ( ~ epred10_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_26])])]) ).
thf(c_0_42,plain,
( epred24_0
| ( f0 @ ~ $true )
| ( f0 @ ~ $true )
| ~ epred26_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_43,negated_conjecture,
( ~ ( f0 @ ~ $true )
| ~ epred25_0
| ~ ( f0 @ ~ $true )
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_44,negated_conjecture,
( epred26_0
| ( f0 @ ~ $true )
| epred12_0
| ( f0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_45,plain,
( ( f1 @ $true )
| epred11_0
| ~ ( f1 @ ~ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_46,plain,
( epred11_0
| ( f1 @ ~ $true )
| ~ epred9_0 ),
inference(cn,[status(thm)],[c_0_29]) ).
thf(c_0_47,plain,
( epred25_0
<=> ( ( ( ( epred23_0
| ~ ( f0 @ $true ) )
& ( epred24_0
| ~ ( f0 @ $false ) ) )
| ~ ( f0 @ $true ) )
& ( ( ( epred23_0
| ( f0 @ $true ) )
& ( epred24_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_11,c_0_8]),c_0_9]),c_0_8]),c_0_9]) ).
thf(c_0_48,plain,
( x
| ( f5 @ $true )
| ~ ( f6 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_49,plain,
( x
| ( f6 @ ~ $true )
| ( f5 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_50,plain,
( ~ ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
thf(c_0_51,plain,
( ( f5 @ ~ $true )
| ~ x
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_33]) ).
thf(c_0_52,plain,
( ( epred1_0
| ~ ( f5 @ $true )
| ( f5 @ $true )
| ~ epred4_0 )
& ( epred2_0
| ~ ( f5 @ $false )
| ( f5 @ $true )
| ~ epred4_0 )
& ( epred1_0
| ( f5 @ $true )
| ( f5 @ $false )
| ~ epred4_0 )
& ( epred2_0
| ( f5 @ $false )
| ( f5 @ $false )
| ~ epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f5 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ( f5 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f5 @ $false )
| ( f5 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ~ epred2_0
| ( f5 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ~ epred2_0
| ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred2_0
| ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ epred2_0
| ( f5 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ~ ( f5 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| epred4_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
thf(c_0_53,plain,
( epred3_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_54,plain,
( epred8_0
<=> ( ( ( ( epred5_0
| ~ ( f3 @ $true ) )
& ( epred6_0
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( epred5_0
| ( f3 @ $true ) )
& ( epred6_0
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_36]),c_0_37]) ).
thf(c_0_55,plain,
( ( epred19_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| ~ epred21_0 )
& ( epred20_0
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred21_0 )
& ( epred19_0
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ epred21_0 )
& ( epred20_0
| ( f2 @ $false )
| ~ ( f2 @ $false )
| ~ epred21_0 )
& ( ~ epred20_0
| ~ epred19_0
| ~ epred20_0
| ~ epred19_0
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ~ epred20_0
| ~ epred19_0
| epred21_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ~ epred20_0
| ~ epred19_0
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred20_0
| ~ epred19_0
| epred21_0 )
& ( ( f2 @ $false )
| ~ epred20_0
| ~ epred19_0
| epred21_0 )
& ( ~ epred20_0
| ~ epred19_0
| ( f2 @ $false )
| ~ epred19_0
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ( f2 @ $false )
| ~ epred19_0
| epred21_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred19_0
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred19_0
| epred21_0 )
& ( ( f2 @ $false )
| ( f2 @ $false )
| ~ epred19_0
| epred21_0 )
& ( ~ epred20_0
| ~ epred19_0
| ~ epred20_0
| ( f2 @ $true )
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ~ epred20_0
| ( f2 @ $true )
| epred21_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ~ epred20_0
| ( f2 @ $true )
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred20_0
| ( f2 @ $true )
| epred21_0 )
& ( ( f2 @ $false )
| ~ epred20_0
| ( f2 @ $true )
| epred21_0 )
& ( ~ epred20_0
| ~ epred19_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred21_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred21_0 )
& ( ( f2 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred21_0 )
& ( ~ epred20_0
| ~ epred19_0
| ( f2 @ $true )
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ( f2 @ $true )
| epred21_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ( f2 @ $true )
| epred21_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $true )
| epred21_0 )
& ( ( f2 @ $false )
| ( f2 @ $true )
| epred21_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
thf(c_0_56,plain,
( epred23_0
<=> ( ( ( ( epred21_0
| ~ ( f2 @ $true ) )
& ( epred22_0
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( epred21_0
| ( f2 @ $true ) )
& ( epred22_0
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_23]),c_0_39]),c_0_23]),c_0_39]) ).
thf(c_0_57,plain,
( epred24_0
<=> ( ( ( ( epred21_0
| ~ ( f2 @ $true ) )
& ( epred22_0
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( epred21_0
| ( f2 @ $true ) )
& ( epred22_0
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,c_0_23]),c_0_39]),c_0_23]),c_0_39]) ).
thf(c_0_58,plain,
( epred10_0
<=> ( ( ( ( epred7_0
| ~ ( f2 @ $true ) )
& ( epred8_0
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( epred7_0
| ( f2 @ $true ) )
& ( epred8_0
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_40]),c_0_35]),c_0_40]),c_0_35]) ).
thf(c_0_59,plain,
( epred10_0
| ( f1 @ ~ $true )
| ( f1 @ ~ $true )
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_60,negated_conjecture,
( ~ ( f0 @ ~ $true )
| ~ ( f0 @ $true )
| ~ ( f0 @ ~ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_61,plain,
( epred24_0
| ( f0 @ $true )
| ~ ( f0 @ ~ $true )
| ~ epred26_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_62,plain,
( epred24_0
| ( f0 @ ~ $true )
| ~ epred26_0 ),
inference(cn,[status(thm)],[c_0_42]) ).
thf(c_0_63,negated_conjecture,
( ~ epred11_0
| ~ epred25_0
| ~ ( f0 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_43]) ).
thf(c_0_64,negated_conjecture,
( epred12_0
| epred26_0
| ( f0 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_44]) ).
thf(c_0_65,plain,
( epred12_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_66,plain,
( ( f1 @ $true )
| epred11_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_67,plain,
( ( epred23_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ~ epred25_0 )
& ( epred24_0
| ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred25_0 )
& ( epred23_0
| ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ epred25_0 )
& ( epred24_0
| ( f0 @ $false )
| ~ ( f0 @ $false )
| ~ epred25_0 )
& ( ~ epred24_0
| ~ epred23_0
| ~ epred24_0
| ~ epred23_0
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ~ epred24_0
| ~ epred23_0
| epred25_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ~ epred24_0
| ~ epred23_0
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred24_0
| ~ epred23_0
| epred25_0 )
& ( ( f0 @ $false )
| ~ epred24_0
| ~ epred23_0
| epred25_0 )
& ( ~ epred24_0
| ~ epred23_0
| ( f0 @ $false )
| ~ epred23_0
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ( f0 @ $false )
| ~ epred23_0
| epred25_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred23_0
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred23_0
| epred25_0 )
& ( ( f0 @ $false )
| ( f0 @ $false )
| ~ epred23_0
| epred25_0 )
& ( ~ epred24_0
| ~ epred23_0
| ~ epred24_0
| ( f0 @ $true )
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ~ epred24_0
| ( f0 @ $true )
| epred25_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ~ epred24_0
| ( f0 @ $true )
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred24_0
| ( f0 @ $true )
| epred25_0 )
& ( ( f0 @ $false )
| ~ epred24_0
| ( f0 @ $true )
| epred25_0 )
& ( ~ epred24_0
| ~ epred23_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred25_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred25_0 )
& ( ( f0 @ $false )
| ( f0 @ $false )
| ( f0 @ $true )
| epred25_0 )
& ( ~ epred24_0
| ~ epred23_0
| ( f0 @ $true )
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ epred23_0
| ( f0 @ $true )
| epred25_0 )
& ( ~ epred24_0
| ~ ( f0 @ $true )
| ( f0 @ $true )
| epred25_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $true )
| epred25_0 )
& ( ( f0 @ $false )
| ( f0 @ $true )
| epred25_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
thf(c_0_68,plain,
( epred14_0
<=> ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_69,plain,
( epred17_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_70,plain,
( epred15_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_71,plain,
( epred16_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_72,plain,
( epred22_0
<=> ( ( ( ( epred19_0
| ~ ( f2 @ $true ) )
& ( epred20_0
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( epred19_0
| ( f2 @ $true ) )
& ( epred20_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_39,c_0_24]),c_0_25]),c_0_24]),c_0_25]) ).
thf(c_0_73,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_21]) ).
thf(c_0_74,plain,
( ~ epred1_0
| ~ x
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_33]) ).
thf(c_0_75,plain,
( epred2_0
| ( f5 @ ~ $true )
| ( f5 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
thf(c_0_76,plain,
( epred3_0
<=> ( ( ( ( epred1_0
| ~ ( f5 @ $true ) )
& ( epred2_0
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( epred1_0
| ( f5 @ $true ) )
& ( epred2_0
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_53,c_0_5]),c_0_1]),c_0_5]),c_0_1]) ).
thf(c_0_77,plain,
( ( epred5_0
| ~ ( f3 @ $true )
| ( f3 @ $true )
| ~ epred8_0 )
& ( epred6_0
| ~ ( f3 @ $false )
| ( f3 @ $true )
| ~ epred8_0 )
& ( epred5_0
| ( f3 @ $true )
| ( f3 @ $false )
| ~ epred8_0 )
& ( epred6_0
| ( f3 @ $false )
| ( f3 @ $false )
| ~ epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f3 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ( f3 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ ( f3 @ $false )
| ( f3 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ( f3 @ $true )
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ~ epred6_0
| ( f3 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ~ epred6_0
| ( f3 @ $true )
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred6_0
| ( f3 @ $true )
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ epred6_0
| ( f3 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ ( 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 )
& ( ~ epred6_0
| ~ epred5_0
| ~ ( f3 @ $true )
| epred8_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ~ ( f3 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ ( 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_54])])]) ).
thf(c_0_78,plain,
( epred9_0
<=> ( ( ( ( epred7_0
| ~ ( f2 @ $true ) )
& ( epred8_0
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( epred7_0
| ( f2 @ $true ) )
& ( epred8_0
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_40]),c_0_35]),c_0_40]),c_0_35]) ).
thf(c_0_79,plain,
( epred19_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_80,plain,
( ( epred21_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred23_0 )
& ( epred22_0
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ epred23_0 )
& ( epred21_0
| ( f2 @ $true )
| ~ ( f1 @ $false )
| ~ epred23_0 )
& ( epred22_0
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ epred23_0 )
& ( ~ epred22_0
| ~ epred21_0
| ~ epred22_0
| ~ epred21_0
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ~ epred22_0
| ~ epred21_0
| epred23_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ~ epred22_0
| ~ epred21_0
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred22_0
| ~ epred21_0
| epred23_0 )
& ( ( f1 @ $false )
| ~ epred22_0
| ~ epred21_0
| epred23_0 )
& ( ~ epred22_0
| ~ epred21_0
| ( f2 @ $false )
| ~ epred21_0
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ( f2 @ $false )
| ~ epred21_0
| epred23_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred21_0
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred21_0
| epred23_0 )
& ( ( f1 @ $false )
| ( f2 @ $false )
| ~ epred21_0
| epred23_0 )
& ( ~ epred22_0
| ~ epred21_0
| ~ epred22_0
| ( f2 @ $true )
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ~ epred22_0
| ( f2 @ $true )
| epred23_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ~ epred22_0
| ( f2 @ $true )
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred22_0
| ( f2 @ $true )
| epred23_0 )
& ( ( f1 @ $false )
| ~ epred22_0
| ( f2 @ $true )
| epred23_0 )
& ( ~ epred22_0
| ~ epred21_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred23_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred23_0 )
& ( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred23_0 )
& ( ~ epred22_0
| ~ epred21_0
| ( f1 @ $true )
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ( f1 @ $true )
| epred23_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred23_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred23_0 )
& ( ( f1 @ $false )
| ( f1 @ $true )
| epred23_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
thf(c_0_81,plain,
( ( epred21_0
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ epred24_0 )
& ( epred22_0
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ~ epred24_0 )
& ( epred21_0
| ( f2 @ $true )
| ( f1 @ $false )
| ~ epred24_0 )
& ( epred22_0
| ( f2 @ $false )
| ( f1 @ $false )
| ~ epred24_0 )
& ( ~ epred22_0
| ~ epred21_0
| ~ epred22_0
| ~ epred21_0
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ~ epred22_0
| ~ epred21_0
| epred24_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ~ epred22_0
| ~ epred21_0
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred22_0
| ~ epred21_0
| epred24_0 )
& ( ~ ( f1 @ $false )
| ~ epred22_0
| ~ epred21_0
| epred24_0 )
& ( ~ epred22_0
| ~ epred21_0
| ( f2 @ $false )
| ~ epred21_0
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ( f2 @ $false )
| ~ epred21_0
| epred24_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred21_0
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred21_0
| epred24_0 )
& ( ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ epred21_0
| epred24_0 )
& ( ~ epred22_0
| ~ epred21_0
| ~ epred22_0
| ( f2 @ $true )
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ~ epred22_0
| ( f2 @ $true )
| epred24_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ~ epred22_0
| ( f2 @ $true )
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred22_0
| ( f2 @ $true )
| epred24_0 )
& ( ~ ( f1 @ $false )
| ~ epred22_0
| ( f2 @ $true )
| epred24_0 )
& ( ~ epred22_0
| ~ epred21_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred24_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred24_0 )
& ( ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred24_0 )
& ( ~ epred22_0
| ~ epred21_0
| ~ ( f1 @ $true )
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ epred21_0
| ~ ( f1 @ $true )
| epred24_0 )
& ( ~ epred22_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred24_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred24_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| epred24_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
thf(c_0_82,plain,
( ( epred7_0
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ epred10_0 )
& ( epred8_0
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ~ epred10_0 )
& ( epred7_0
| ( f2 @ $true )
| ( f1 @ $false )
| ~ epred10_0 )
& ( epred8_0
| ( f2 @ $false )
| ( f1 @ $false )
| ~ epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f2 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ( f2 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f1 @ $false )
| ( f2 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ( f2 @ $true )
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ~ epred8_0
| ( f2 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ~ epred8_0
| ( f2 @ $true )
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred8_0
| ( f2 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ epred8_0
| ( f2 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ ( f1 @ $true )
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ~ ( f1 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred10_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
thf(c_0_83,plain,
( epred10_0
| ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_84,plain,
( epred10_0
| ( f1 @ ~ $true )
| ~ epred12_0 ),
inference(cn,[status(thm)],[c_0_59]) ).
thf(c_0_85,negated_conjecture,
( ~ ( f0 @ $true )
| ~ ( f0 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_60]) ).
thf(c_0_86,plain,
( ( f0 @ $true )
| epred24_0
| ~ epred26_0 ),
inference(csr,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_87,negated_conjecture,
( epred26_0
| epred12_0
| ~ epred11_0
| ~ epred25_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
thf(c_0_88,plain,
( epred11_0
| epred12_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_46]),c_0_66]) ).
thf(c_0_89,plain,
( ( f0 @ ~ $true )
| ( f0 @ ~ $true )
| epred25_0
| ~ epred23_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
thf(c_0_90,plain,
( epred7_0
<=> ( ( ( ( epred5_0
| ~ ( f3 @ $true ) )
& ( epred6_0
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( epred5_0
| ( f3 @ $true ) )
& ( epred6_0
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_40,c_0_36]),c_0_37]),c_0_36]),c_0_37]) ).
thf(c_0_91,plain,
( epred13_0
<=> ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_92,plain,
( ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $true )
| ~ epred14_0 )
& ( x
| ~ ( f6 @ $false )
| ( f6 @ $true )
| ~ epred14_0 )
& ( ~ x
| ( f6 @ $true )
| ( f6 @ $false )
| ~ epred14_0 )
& ( x
| ( f6 @ $false )
| ( f6 @ $false )
| ~ epred14_0 )
& ( ~ x
| x
| ~ x
| x
| epred14_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| x
| epred14_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| x
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| x
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ x
| x
| epred14_0 )
& ( ~ x
| x
| ( f6 @ $false )
| x
| epred14_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| x
| epred14_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred14_0 )
& ( ~ ( f6 @ $false )
| ( f6 @ $false )
| x
| epred14_0 )
& ( ~ x
| x
| ~ x
| ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| ( f6 @ $true )
| epred14_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ x
| ( f6 @ $true )
| epred14_0 )
& ( ~ x
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred14_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| ( f6 @ $false )
| ( f6 @ $true )
| epred14_0 )
& ( ~ x
| x
| ~ ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| x
| ~ ( f6 @ $true )
| epred14_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ ( f6 @ $true )
| epred14_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
thf(c_0_93,plain,
( epred18_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ~ ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f6 @ $true ) )
& ( x
| ~ ( f6 @ $false ) ) )
| ( f6 @ $true ) )
& ( ( ( ~ x
| ( f6 @ $true ) )
& ( x
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_94,plain,
( epred17_0
<=> ( ( ( ( epred15_0
| ~ ( f4 @ $true ) )
& ( epred16_0
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( epred15_0
| ( f4 @ $true ) )
& ( epred16_0
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_70]),c_0_71]) ).
thf(c_0_95,plain,
( ( epred19_0
| ~ ( f2 @ $true )
| ( f2 @ $true )
| ~ epred22_0 )
& ( epred20_0
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ epred22_0 )
& ( epred19_0
| ( f2 @ $true )
| ( f2 @ $false )
| ~ epred22_0 )
& ( epred20_0
| ( f2 @ $false )
| ( f2 @ $false )
| ~ epred22_0 )
& ( ~ epred20_0
| ~ epred19_0
| ~ epred20_0
| ~ epred19_0
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ~ epred20_0
| ~ epred19_0
| epred22_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ~ epred20_0
| ~ epred19_0
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred20_0
| ~ epred19_0
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ epred20_0
| ~ epred19_0
| epred22_0 )
& ( ~ epred20_0
| ~ epred19_0
| ( f2 @ $false )
| ~ epred19_0
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ( f2 @ $false )
| ~ epred19_0
| epred22_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred19_0
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred19_0
| epred22_0 )
& ( ~ ( f2 @ $false )
| ( f2 @ $false )
| ~ epred19_0
| epred22_0 )
& ( ~ epred20_0
| ~ epred19_0
| ~ epred20_0
| ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ~ epred20_0
| ( f2 @ $true )
| epred22_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ~ epred20_0
| ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred20_0
| ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ epred20_0
| ( f2 @ $true )
| epred22_0 )
& ( ~ epred20_0
| ~ epred19_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred22_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred22_0 )
& ( ~ epred20_0
| ~ epred19_0
| ~ ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ epred19_0
| ~ ( f2 @ $true )
| epred22_0 )
& ( ~ epred20_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| epred22_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| epred22_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])]) ).
thf(c_0_96,plain,
( ( f5 @ $true )
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_31]),c_0_73]),c_0_74]) ).
thf(c_0_97,plain,
( epred2_0
| ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
thf(c_0_98,plain,
( epred2_0
| ( f5 @ ~ $true )
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_75]) ).
thf(c_0_99,plain,
( ( epred1_0
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| ~ epred3_0 )
& ( epred2_0
| ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred3_0 )
& ( epred1_0
| ( f5 @ $true )
| ~ ( f5 @ $false )
| ~ epred3_0 )
& ( epred2_0
| ( f5 @ $false )
| ~ ( f5 @ $false )
| ~ epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ( f5 @ $false )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f5 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ( f5 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ( f5 @ $false )
| ( f5 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ( f5 @ $true )
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ~ epred2_0
| ( f5 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ~ epred2_0
| ( f5 @ $true )
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred2_0
| ( f5 @ $true )
| epred3_0 )
& ( ( f5 @ $false )
| ~ epred2_0
| ( f5 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred3_0 )
& ( ( f5 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f5 @ $true )
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ epred1_0
| ( f5 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f5 @ $true )
| ( f5 @ $true )
| epred3_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $true )
| epred3_0 )
& ( ( f5 @ $false )
| ( f5 @ $true )
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
thf(c_0_100,plain,
( epred5_0
<=> ( ( ( ( epred3_0
| ~ ( f4 @ $true ) )
& ( epred4_0
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( epred3_0
| ( f4 @ $true ) )
& ( epred4_0
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_36,c_0_53]),c_0_22]),c_0_53]),c_0_22]) ).
thf(c_0_101,plain,
( epred6_0
<=> ( ( ( ( epred3_0
| ~ ( f4 @ $true ) )
& ( epred4_0
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( epred3_0
| ( f4 @ $true ) )
& ( epred4_0
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37,c_0_53]),c_0_22]),c_0_53]),c_0_22]) ).
thf(c_0_102,plain,
( epred6_0
| ( f3 @ ~ $true )
| ( f3 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_103,plain,
( ( epred7_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred9_0 )
& ( epred8_0
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ epred9_0 )
& ( epred7_0
| ( f2 @ $true )
| ~ ( f1 @ $false )
| ~ epred9_0 )
& ( epred8_0
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ( f1 @ $false )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f2 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ( f2 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ( f1 @ $false )
| ( f2 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ( f2 @ $true )
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ~ epred8_0
| ( f2 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ~ epred8_0
| ( f2 @ $true )
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred8_0
| ( f2 @ $true )
| epred9_0 )
& ( ( f1 @ $false )
| ~ epred8_0
| ( f2 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred9_0 )
& ( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f1 @ $true )
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ epred7_0
| ( f1 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred9_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred9_0 )
& ( ( f1 @ $false )
| ( f1 @ $true )
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])]) ).
thf(c_0_104,plain,
( epred19_0
| ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_105,plain,
( epred19_0
| ~ epred21_0
| ~ ( f2 @ $true ) ),
inference(cn,[status(thm)],[c_0_79]) ).
thf(c_0_106,plain,
( epred22_0
| ~ ( f2 @ ~ $true )
| ~ ( f1 @ $true )
| ~ epred23_0 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_107,plain,
( epred22_0
| ( f1 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred24_0 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_108,plain,
( epred21_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred23_0 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_109,plain,
( epred21_0
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ epred24_0 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_110,plain,
( epred10_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_111,plain,
( ( f1 @ $true )
| epred10_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_83,c_0_84]) ).
thf(c_0_112,negated_conjecture,
( epred24_0
| ~ epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_62]),c_0_86]) ).
thf(c_0_113,negated_conjecture,
( epred12_0
| epred26_0
| ~ epred25_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
thf(c_0_114,plain,
( ( f0 @ $true )
| epred25_0
| ~ ( f0 @ ~ $true )
| ~ epred23_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
thf(c_0_115,plain,
( epred25_0
| ( f0 @ ~ $true )
| ~ epred23_0 ),
inference(cn,[status(thm)],[c_0_89]) ).
thf(c_0_116,plain,
( ( epred5_0
| ~ ( f3 @ $true )
| ~ ( f3 @ $true )
| ~ epred7_0 )
& ( epred6_0
| ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred7_0 )
& ( epred5_0
| ( f3 @ $true )
| ~ ( f3 @ $false )
| ~ epred7_0 )
& ( epred6_0
| ( f3 @ $false )
| ~ ( f3 @ $false )
| ~ epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ( f3 @ $false )
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f3 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ( f3 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ( f3 @ $false )
| ( f3 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ( f3 @ $true )
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ~ epred6_0
| ( f3 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ~ epred6_0
| ( f3 @ $true )
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred6_0
| ( f3 @ $true )
| epred7_0 )
& ( ( f3 @ $false )
| ~ epred6_0
| ( f3 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred7_0 )
& ( ( f3 @ $false )
| ( f3 @ $false )
| ( f3 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f3 @ $true )
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ epred5_0
| ( f3 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ ( f3 @ $true )
| ( f3 @ $true )
| epred7_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $true )
| epred7_0 )
& ( ( f3 @ $false )
| ( f3 @ $true )
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).
thf(c_0_117,plain,
( epred15_0
<=> ( ( ( ( epred13_0
| ~ ( f6 @ $true ) )
& ( epred14_0
| ~ ( f6 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( epred13_0
| ( f6 @ $true ) )
& ( epred14_0
| ( f6 @ $false ) ) )
| ~ ( f5 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_70,c_0_91]),c_0_68]),c_0_91]),c_0_68]) ).
thf(c_0_118,plain,
( x
| ( f6 @ ~ $true )
| ( f6 @ ~ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_119,plain,
( epred18_0
<=> ( ( ( ( epred15_0
| ~ ( f4 @ $true ) )
& ( epred16_0
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( epred15_0
| ( f4 @ $true ) )
& ( epred16_0
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_93,c_0_70]),c_0_71]),c_0_70]),c_0_71]) ).
thf(c_0_120,plain,
( ( epred15_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| ~ epred17_0 )
& ( epred16_0
| ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred17_0 )
& ( epred15_0
| ( f4 @ $true )
| ~ ( f4 @ $false )
| ~ epred17_0 )
& ( epred16_0
| ( f4 @ $false )
| ~ ( f4 @ $false )
| ~ epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ( f4 @ $false )
| ~ epred16_0
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| ( f4 @ $false )
| ~ epred15_0
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ( f4 @ $false )
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred15_0
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred15_0
| epred17_0 )
& ( ( f4 @ $false )
| ( f4 @ $false )
| ~ epred15_0
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ( f4 @ $true )
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ~ epred16_0
| ( f4 @ $true )
| epred17_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ~ epred16_0
| ( f4 @ $true )
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred16_0
| ( f4 @ $true )
| epred17_0 )
& ( ( f4 @ $false )
| ~ epred16_0
| ( f4 @ $true )
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred17_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred17_0 )
& ( ( f4 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred17_0 )
& ( ~ epred16_0
| ~ epred15_0
| ( f4 @ $true )
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ( f4 @ $true )
| epred17_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ( f4 @ $true )
| epred17_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $true )
| epred17_0 )
& ( ( f4 @ $false )
| ( f4 @ $true )
| epred17_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])]) ).
thf(c_0_121,plain,
( epred19_0
<=> ( ( ( ( epred17_0
| ~ ( f4 @ $true ) )
& ( epred18_0
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( epred17_0
| ( f4 @ $true ) )
& ( epred18_0
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24,c_0_69]),c_0_93]),c_0_69]),c_0_93]) ).
thf(c_0_122,plain,
( epred20_0
<=> ( ( ( ( epred17_0
| ~ ( f4 @ $true ) )
& ( epred18_0
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( epred17_0
| ( f4 @ $true ) )
& ( epred18_0
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25,c_0_69]),c_0_93]),c_0_69]),c_0_93]) ).
thf(c_0_123,plain,
( epred20_0
| ( f2 @ ~ $true )
| ( f2 @ ~ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
thf(c_0_124,plain,
( ( f5 @ ~ $true )
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_49]),c_0_96]),c_0_74]) ).
thf(c_0_125,plain,
( epred2_0
| ~ ( f5 @ ~ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_126,plain,
( ( f5 @ $true )
| epred2_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_97,c_0_98]) ).
thf(c_0_127,plain,
( epred1_0
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
thf(c_0_128,plain,
( ( epred3_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| ~ epred5_0 )
& ( epred4_0
| ~ ( f4 @ $false )
| ~ ( f3 @ $true )
| ~ epred5_0 )
& ( epred3_0
| ( f4 @ $true )
| ~ ( f3 @ $false )
| ~ epred5_0 )
& ( epred4_0
| ( f4 @ $false )
| ~ ( f3 @ $false )
| ~ epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ( f3 @ $false )
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f4 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ( f4 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ( f3 @ $false )
| ( f4 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ( f4 @ $true )
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ~ epred4_0
| ( f4 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ~ epred4_0
| ( f4 @ $true )
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred4_0
| ( f4 @ $true )
| epred5_0 )
& ( ( f3 @ $false )
| ~ epred4_0
| ( f4 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred5_0 )
& ( ( f3 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f3 @ $true )
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ( f3 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ( f3 @ $true )
| epred5_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f3 @ $true )
| epred5_0 )
& ( ( f3 @ $false )
| ( f3 @ $true )
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])]) ).
thf(c_0_129,plain,
( ( epred3_0
| ~ ( f4 @ $true )
| ( f3 @ $true )
| ~ epred6_0 )
& ( epred4_0
| ~ ( f4 @ $false )
| ( f3 @ $true )
| ~ epred6_0 )
& ( epred3_0
| ( f4 @ $true )
| ( f3 @ $false )
| ~ epred6_0 )
& ( epred4_0
| ( f4 @ $false )
| ( f3 @ $false )
| ~ epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f4 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ( f4 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ ( f3 @ $false )
| ( f4 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ( f4 @ $true )
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ~ epred4_0
| ( f4 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ~ epred4_0
| ( f4 @ $true )
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred4_0
| ( f4 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ epred4_0
| ( f4 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ ( f3 @ $true )
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ epred3_0
| ~ ( f3 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| epred6_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])]) ).
thf(c_0_130,plain,
( epred6_0
| ( f3 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_131,plain,
( epred6_0
| ( f3 @ ~ $true )
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_102]) ).
thf(c_0_132,plain,
( epred8_0
| ~ ( f2 @ ~ $true )
| ~ ( f1 @ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_133,plain,
( epred8_0
| ( f1 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_134,plain,
( epred19_0
| ~ ( f2 @ ~ $true )
| ~ epred21_0 ),
inference(csr,[status(thm)],[c_0_104,c_0_105]) ).
thf(c_0_135,plain,
( epred19_0
| ( f2 @ $true )
| ( f2 @ ~ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
thf(c_0_136,plain,
( epred22_0
| ( f2 @ ~ $true )
| ~ ( f1 @ ~ $true )
| ~ epred23_0 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_137,plain,
( epred22_0
| ( f2 @ ~ $true )
| ( f1 @ ~ $true )
| ~ epred24_0 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_138,plain,
( epred22_0
| ~ ( f2 @ ~ $true )
| ~ epred23_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
thf(c_0_139,plain,
( epred21_0
| ( f2 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred23_0 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_140,plain,
( epred21_0
| ( f2 @ $true )
| ( f1 @ ~ $true )
| ~ epred24_0 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_141,plain,
( epred21_0
| ~ ( f2 @ $true )
| ~ epred23_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
thf(c_0_142,plain,
( epred10_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_84]),c_0_111]) ).
thf(c_0_143,negated_conjecture,
( epred12_0
| epred24_0
| ~ epred25_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
thf(c_0_144,plain,
( ( f0 @ $true )
| epred25_0
| ~ epred23_0 ),
inference(csr,[status(thm)],[c_0_114,c_0_115]) ).
thf(c_0_145,plain,
( epred5_0
| ~ ( f3 @ $true )
| ~ ( f3 @ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
thf(c_0_146,plain,
( epred7_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_147,plain,
( epred7_0
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_148,plain,
( ( epred13_0
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| ~ epred15_0 )
& ( epred14_0
| ~ ( f6 @ $false )
| ~ ( f5 @ $true )
| ~ epred15_0 )
& ( epred13_0
| ( f6 @ $true )
| ~ ( f5 @ $false )
| ~ epred15_0 )
& ( epred14_0
| ( f6 @ $false )
| ~ ( f5 @ $false )
| ~ epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ( f5 @ $false )
| ~ epred14_0
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| ( f6 @ $false )
| ~ epred13_0
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ( f6 @ $false )
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ~ epred13_0
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ~ epred13_0
| epred15_0 )
& ( ( f5 @ $false )
| ( f6 @ $false )
| ~ epred13_0
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ( f6 @ $true )
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ~ epred14_0
| ( f6 @ $true )
| epred15_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ~ epred14_0
| ( f6 @ $true )
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ epred14_0
| ( f6 @ $true )
| epred15_0 )
& ( ( f5 @ $false )
| ~ epred14_0
| ( f6 @ $true )
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| ( f6 @ $false )
| ( f6 @ $true )
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ( f6 @ $false )
| ( f6 @ $true )
| epred15_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred15_0 )
& ( ( f5 @ $false )
| ( f6 @ $false )
| ( f6 @ $true )
| epred15_0 )
& ( ~ epred14_0
| ~ epred13_0
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ( f5 @ $true )
| epred15_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f5 @ $true )
| epred15_0 )
& ( ( f5 @ $false )
| ( f5 @ $true )
| epred15_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])])]) ).
thf(c_0_149,plain,
( x
| ( f6 @ $true )
| ~ ( f6 @ ~ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_150,plain,
( x
| ( f6 @ ~ $true )
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_118]) ).
thf(c_0_151,plain,
( ( ~ x
| ~ ( f6 @ $true )
| ~ ( f6 @ $true )
| ~ epred13_0 )
& ( x
| ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ epred13_0 )
& ( ~ x
| ( f6 @ $true )
| ~ ( f6 @ $false )
| ~ epred13_0 )
& ( x
| ( f6 @ $false )
| ~ ( f6 @ $false )
| ~ epred13_0 )
& ( ~ x
| x
| ~ x
| x
| epred13_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| x
| epred13_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| x
| epred13_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| x
| epred13_0 )
& ( ( f6 @ $false )
| ~ x
| x
| epred13_0 )
& ( ~ x
| x
| ( f6 @ $false )
| x
| epred13_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| x
| epred13_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred13_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| x
| epred13_0 )
& ( ( f6 @ $false )
| ( f6 @ $false )
| x
| epred13_0 )
& ( ~ x
| x
| ~ x
| ( f6 @ $true )
| epred13_0 )
& ( ~ ( f6 @ $false )
| x
| ~ x
| ( f6 @ $true )
| epred13_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred13_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ x
| ( f6 @ $true )
| epred13_0 )
& ( ( f6 @ $false )
| ~ x
| ( f6 @ $true )
| epred13_0 )
& ( ~ x
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred13_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $false )
| ( f6 @ $true )
| epred13_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred13_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred13_0 )
& ( ( f6 @ $false )
| ( f6 @ $false )
| ( f6 @ $true )
| epred13_0 )
& ( ~ x
| x
| ( f6 @ $true )
| epred13_0 )
& ( ~ ( f6 @ $false )
| x
| ( f6 @ $true )
| epred13_0 )
& ( ~ x
| ~ ( f6 @ $true )
| ( f6 @ $true )
| epred13_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $true )
| epred13_0 )
& ( ( f6 @ $false )
| ( f6 @ $true )
| epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
thf(c_0_152,plain,
( epred16_0
<=> ( ( ( ( epred13_0
| ~ ( f6 @ $true ) )
& ( epred14_0
| ~ ( f6 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( epred13_0
| ( f6 @ $true ) )
& ( epred14_0
| ( f6 @ $false ) ) )
| ( f5 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_71,c_0_91]),c_0_68]),c_0_91]),c_0_68]) ).
thf(c_0_153,plain,
( ( epred15_0
| ~ ( f4 @ $true )
| ( f4 @ $true )
| ~ epred18_0 )
& ( epred16_0
| ~ ( f4 @ $false )
| ( f4 @ $true )
| ~ epred18_0 )
& ( epred15_0
| ( f4 @ $true )
| ( f4 @ $false )
| ~ epred18_0 )
& ( epred16_0
| ( f4 @ $false )
| ( f4 @ $false )
| ~ epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ epred16_0
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ( f4 @ $false )
| ~ epred15_0
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ( f4 @ $false )
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred15_0
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred15_0
| epred18_0 )
& ( ~ ( f4 @ $false )
| ( f4 @ $false )
| ~ epred15_0
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ epred16_0
| ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ~ epred16_0
| ( f4 @ $true )
| epred18_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ~ epred16_0
| ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred16_0
| ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ epred16_0
| ( f4 @ $true )
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred18_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred18_0 )
& ( ~ epred16_0
| ~ epred15_0
| ~ ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ epred15_0
| ~ ( f4 @ $true )
| epred18_0 )
& ( ~ epred16_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| epred18_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| epred18_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_119])])]) ).
thf(c_0_154,plain,
( epred15_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
thf(c_0_155,plain,
( ( epred17_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| ~ epred19_0 )
& ( epred18_0
| ~ ( f4 @ $false )
| ~ ( f3 @ $true )
| ~ epred19_0 )
& ( epred17_0
| ( f4 @ $true )
| ~ ( f3 @ $false )
| ~ epred19_0 )
& ( epred18_0
| ( f4 @ $false )
| ~ ( f3 @ $false )
| ~ epred19_0 )
& ( ~ epred18_0
| ~ epred17_0
| ~ epred18_0
| ~ epred17_0
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ~ epred18_0
| ~ epred17_0
| epred19_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ~ epred18_0
| ~ epred17_0
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred18_0
| ~ epred17_0
| epred19_0 )
& ( ( f3 @ $false )
| ~ epred18_0
| ~ epred17_0
| epred19_0 )
& ( ~ epred18_0
| ~ epred17_0
| ( f4 @ $false )
| ~ epred17_0
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ( f4 @ $false )
| ~ epred17_0
| epred19_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred17_0
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred17_0
| epred19_0 )
& ( ( f3 @ $false )
| ( f4 @ $false )
| ~ epred17_0
| epred19_0 )
& ( ~ epred18_0
| ~ epred17_0
| ~ epred18_0
| ( f4 @ $true )
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ~ epred18_0
| ( f4 @ $true )
| epred19_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ~ epred18_0
| ( f4 @ $true )
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred18_0
| ( f4 @ $true )
| epred19_0 )
& ( ( f3 @ $false )
| ~ epred18_0
| ( f4 @ $true )
| epred19_0 )
& ( ~ epred18_0
| ~ epred17_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred19_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred19_0 )
& ( ( f3 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred19_0 )
& ( ~ epred18_0
| ~ epred17_0
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ( f3 @ $true )
| epred19_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f3 @ $true )
| epred19_0 )
& ( ( f3 @ $false )
| ( f3 @ $true )
| epred19_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])]) ).
thf(c_0_156,plain,
( ( epred17_0
| ~ ( f4 @ $true )
| ( f3 @ $true )
| ~ epred20_0 )
& ( epred18_0
| ~ ( f4 @ $false )
| ( f3 @ $true )
| ~ epred20_0 )
& ( epred17_0
| ( f4 @ $true )
| ( f3 @ $false )
| ~ epred20_0 )
& ( epred18_0
| ( f4 @ $false )
| ( f3 @ $false )
| ~ epred20_0 )
& ( ~ epred18_0
| ~ epred17_0
| ~ epred18_0
| ~ epred17_0
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ~ epred18_0
| ~ epred17_0
| epred20_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ~ epred18_0
| ~ epred17_0
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred18_0
| ~ epred17_0
| epred20_0 )
& ( ~ ( f3 @ $false )
| ~ epred18_0
| ~ epred17_0
| epred20_0 )
& ( ~ epred18_0
| ~ epred17_0
| ( f4 @ $false )
| ~ epred17_0
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ( f4 @ $false )
| ~ epred17_0
| epred20_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred17_0
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred17_0
| epred20_0 )
& ( ~ ( f3 @ $false )
| ( f4 @ $false )
| ~ epred17_0
| epred20_0 )
& ( ~ epred18_0
| ~ epred17_0
| ~ epred18_0
| ( f4 @ $true )
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ~ epred18_0
| ( f4 @ $true )
| epred20_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ~ epred18_0
| ( f4 @ $true )
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred18_0
| ( f4 @ $true )
| epred20_0 )
& ( ~ ( f3 @ $false )
| ~ epred18_0
| ( f4 @ $true )
| epred20_0 )
& ( ~ epred18_0
| ~ epred17_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred20_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred20_0 )
& ( ~ ( f3 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred20_0 )
& ( ~ epred18_0
| ~ epred17_0
| ~ ( f3 @ $true )
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ epred17_0
| ~ ( f3 @ $true )
| epred20_0 )
& ( ~ epred18_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| epred20_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| epred20_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| epred20_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])]) ).
thf(c_0_157,plain,
( epred20_0
| ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
thf(c_0_158,plain,
( epred20_0
| ( f2 @ ~ $true )
| ~ epred22_0 ),
inference(cn,[status(thm)],[c_0_123]) ).
thf(c_0_159,plain,
( ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_124]),c_0_96]) ).
thf(c_0_160,plain,
( epred2_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_98]),c_0_126]) ).
thf(c_0_161,plain,
( epred1_0
| ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
thf(c_0_162,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_163,plain,
( epred1_0
| ~ epred3_0
| ~ ( f5 @ $true ) ),
inference(cn,[status(thm)],[c_0_127]) ).
thf(c_0_164,plain,
( epred4_0
| ~ ( f4 @ ~ $true )
| ~ ( f3 @ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_165,plain,
( epred4_0
| ( f3 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_166,plain,
( epred3_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_167,plain,
( epred3_0
| ( f3 @ $true )
| ~ ( f4 @ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_168,plain,
( epred6_0
| ~ ( f3 @ ~ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_169,plain,
( ( f3 @ $true )
| epred6_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_130,c_0_131]) ).
thf(c_0_170,plain,
( epred8_0
| ( f2 @ ~ $true )
| ~ ( f1 @ ~ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_171,plain,
( epred8_0
| ( f2 @ ~ $true )
| ( f1 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_172,plain,
( epred8_0
| ~ ( f2 @ ~ $true )
| ~ epred9_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
thf(c_0_173,plain,
( epred19_0
| ~ epred21_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_105]) ).
thf(c_0_174,plain,
( epred22_0
| ~ epred23_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
thf(c_0_175,plain,
( epred21_0
| ~ epred23_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
thf(c_0_176,plain,
( epred24_0
| epred10_0
| ~ epred25_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
thf(c_0_177,negated_conjecture,
( epred25_0
| ~ epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_115]),c_0_144]) ).
thf(c_0_178,plain,
( epred5_0
| ( f3 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
thf(c_0_179,plain,
( ( f3 @ ~ $true )
| ( f3 @ $true )
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_180,plain,
( epred5_0
| ~ epred7_0
| ~ ( f3 @ $true ) ),
inference(cn,[status(thm)],[c_0_145]) ).
thf(c_0_181,plain,
( epred7_0
| ( f2 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_182,plain,
( epred7_0
| ( f2 @ $true )
| ( f1 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_183,plain,
( epred7_0
| ~ ( f2 @ $true )
| ~ epred9_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
thf(c_0_184,plain,
( ( f5 @ $true )
| epred15_0
| ~ epred14_0
| ~ ( f6 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_185,plain,
( ( f6 @ $true )
| x
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_149,c_0_150]) ).
thf(c_0_186,plain,
( ( f6 @ ~ $true )
| ( f6 @ ~ $true )
| x
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
thf(c_0_187,plain,
( ( epred13_0
| ~ ( f6 @ $true )
| ( f5 @ $true )
| ~ epred16_0 )
& ( epred14_0
| ~ ( f6 @ $false )
| ( f5 @ $true )
| ~ epred16_0 )
& ( epred13_0
| ( f6 @ $true )
| ( f5 @ $false )
| ~ epred16_0 )
& ( epred14_0
| ( f6 @ $false )
| ( f5 @ $false )
| ~ epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ ( f5 @ $false )
| ~ epred14_0
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ( f6 @ $false )
| ~ epred13_0
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ( f6 @ $false )
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ~ epred13_0
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ~ epred13_0
| epred16_0 )
& ( ~ ( f5 @ $false )
| ( f6 @ $false )
| ~ epred13_0
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ epred14_0
| ( f6 @ $true )
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ~ epred14_0
| ( f6 @ $true )
| epred16_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ~ epred14_0
| ( f6 @ $true )
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ epred14_0
| ( f6 @ $true )
| epred16_0 )
& ( ~ ( f5 @ $false )
| ~ epred14_0
| ( f6 @ $true )
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ( f6 @ $false )
| ( f6 @ $true )
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ( f6 @ $false )
| ( f6 @ $true )
| epred16_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ( f6 @ $false )
| ( f6 @ $true )
| epred16_0 )
& ( ~ ( f5 @ $false )
| ( f6 @ $false )
| ( f6 @ $true )
| epred16_0 )
& ( ~ epred14_0
| ~ epred13_0
| ~ ( f5 @ $true )
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ epred13_0
| ~ ( f5 @ $true )
| epred16_0 )
& ( ~ epred14_0
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| epred16_0 )
& ( ~ ( f6 @ $false )
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| epred16_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| epred16_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])])]) ).
thf(c_0_188,plain,
( epred16_0
| ( f4 @ ~ $true )
| ( f4 @ ~ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
thf(c_0_189,plain,
( epred15_0
| ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
thf(c_0_190,plain,
( epred15_0
| ~ epred17_0
| ~ ( f4 @ $true ) ),
inference(cn,[status(thm)],[c_0_154]) ).
thf(c_0_191,plain,
( epred18_0
| ~ ( f4 @ ~ $true )
| ~ ( f3 @ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_192,plain,
( epred18_0
| ( f3 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_193,plain,
( epred17_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_194,plain,
( epred17_0
| ( f3 @ $true )
| ~ ( f4 @ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_195,plain,
( epred20_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_196,plain,
( ( f2 @ $true )
| epred20_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[c_0_157,c_0_158]) ).
thf(c_0_197,plain,
( ~ epred1_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
thf(c_0_198,plain,
( epred1_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
thf(c_0_199,plain,
( epred4_0
| ( f4 @ ~ $true )
| ~ ( f3 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_200,plain,
( epred4_0
| ( f4 @ ~ $true )
| ( f3 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_201,plain,
( epred4_0
| ~ ( f4 @ ~ $true )
| ~ epred5_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
thf(c_0_202,plain,
( epred3_0
| ( f4 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_203,plain,
( epred3_0
| ( f4 @ $true )
| ( f3 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_204,plain,
( epred3_0
| ~ ( f4 @ $true )
| ~ epred5_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
thf(c_0_205,plain,
( epred6_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_131]),c_0_169]) ).
thf(c_0_206,plain,
( epred8_0
| ~ epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
thf(c_0_207,plain,
( epred19_0
| ~ epred23_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
thf(c_0_208,negated_conjecture,
( epred10_0
| epred24_0
| ~ epred9_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
thf(c_0_209,plain,
( epred5_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).
thf(c_0_210,plain,
( epred7_0
| ~ epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]) ).
thf(c_0_211,plain,
( x
| ~ ( f5 @ $true )
| ~ epred1_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_150]) ).
thf(c_0_212,plain,
( ( f5 @ $true )
| x
| epred15_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
thf(c_0_213,plain,
( epred14_0
| ~ x
| ~ ( f6 @ $true )
| ~ ( f6 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_214,plain,
( x
| ( f6 @ $true )
| epred13_0
| ~ ( f6 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
thf(c_0_215,plain,
( x
| epred13_0
| ( f6 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_186]) ).
thf(c_0_216,plain,
( ~ x
| ~ ( f6 @ $true )
| ~ ( f6 @ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
thf(c_0_217,plain,
( epred14_0
| ( f5 @ $true )
| ~ ( f6 @ ~ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_218,plain,
( epred14_0
| ( f6 @ ~ $true )
| ( f5 @ ~ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_219,plain,
( epred13_0
| ( f5 @ $true )
| ~ ( f6 @ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_220,plain,
( epred13_0
| ( f6 @ $true )
| ( f5 @ ~ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_221,plain,
( epred16_0
| ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
thf(c_0_222,plain,
( epred16_0
| ( f4 @ ~ $true )
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_188]) ).
thf(c_0_223,plain,
( epred15_0
| ~ ( f4 @ ~ $true )
| ~ epred17_0 ),
inference(csr,[status(thm)],[c_0_189,c_0_190]) ).
thf(c_0_224,plain,
( epred15_0
| ( f4 @ $true )
| ( f4 @ ~ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
thf(c_0_225,plain,
( epred18_0
| ( f4 @ ~ $true )
| ~ ( f3 @ ~ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_226,plain,
( epred18_0
| ( f4 @ ~ $true )
| ( f3 @ ~ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_227,plain,
( epred18_0
| ~ ( f4 @ ~ $true )
| ~ epred19_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
thf(c_0_228,plain,
( epred17_0
| ( f4 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_229,plain,
( epred17_0
| ( f4 @ $true )
| ( f3 @ ~ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_230,plain,
( epred17_0
| ~ ( f4 @ $true )
| ~ epred19_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
thf(c_0_231,plain,
( epred20_0
| ~ epred21_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_158]),c_0_196]) ).
thf(c_0_232,plain,
( ~ epred4_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
thf(c_0_233,plain,
( epred4_0
| ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).
thf(c_0_234,plain,
( epred3_0
| ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
thf(c_0_235,plain,
( epred6_0
| ~ epred9_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
thf(c_0_236,negated_conjecture,
( epred10_0
| epred19_0
| ~ epred23_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
thf(c_0_237,plain,
( epred5_0
| ~ epred9_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
thf(c_0_238,plain,
( epred15_0
| x
| ~ epred1_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
thf(c_0_239,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_240,plain,
( ( f6 @ $true )
| epred14_0
| ~ ( f6 @ ~ $true )
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_241,plain,
( epred14_0
| ~ x
| ~ ( f6 @ $true ) ),
inference(cn,[status(thm)],[c_0_213]) ).
thf(c_0_242,plain,
( epred14_0
| ~ ( f6 @ ~ $true )
| ~ ( f6 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_243,plain,
( ( f6 @ $true )
| epred13_0
| x ),
inference(csr,[status(thm)],[c_0_214,c_0_215]) ).
thf(c_0_244,plain,
( x
| epred2_0
| ~ ( f6 @ ~ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_245,plain,
( ( f5 @ ~ $true )
| ( f6 @ ~ $true )
| x
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_246,plain,
( ( f6 @ $true )
| ~ x
| ~ ( f6 @ ~ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
thf(c_0_247,plain,
( ~ x
| ~ epred13_0
| ~ ( f6 @ $true ) ),
inference(cn,[status(thm)],[c_0_216]) ).
thf(c_0_248,plain,
( ( f6 @ $true )
| ( f6 @ ~ $true )
| ~ x
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_249,plain,
( x
| ~ ( f6 @ ~ $true )
| ~ ( f6 @ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
thf(c_0_250,plain,
( epred14_0
| ( f6 @ ~ $true )
| ~ ( f5 @ ~ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_251,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| epred14_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
thf(c_0_252,plain,
( epred13_0
| ( f6 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_253,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| epred13_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
thf(c_0_254,plain,
( epred16_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
thf(c_0_255,plain,
( ( f4 @ $true )
| epred16_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_221,c_0_222]) ).
thf(c_0_256,plain,
( epred15_0
| ~ epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_190]) ).
thf(c_0_257,plain,
( epred18_0
| ~ epred19_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
thf(c_0_258,plain,
( epred17_0
| ~ epred19_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).
thf(c_0_259,plain,
( epred20_0
| ~ epred23_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_174]),c_0_175]) ).
thf(c_0_260,plain,
( ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).
thf(c_0_261,plain,
( epred19_0
| epred6_0
| ~ epred9_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
thf(c_0_262,plain,
( epred19_0
| epred5_0
| ~ epred9_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_236]) ).
thf(c_0_263,plain,
( epred26_0
| ~ epred24_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_264,plain,
( epred9_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_265,negated_conjecture,
( ~ epred26_0
| ~ ( f0 @ $true )
| ~ epred12_0
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_266,negated_conjecture,
( epred25_0
| ( f0 @ $true )
| epred11_0
| ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_267,plain,
( epred12_0
| ~ epred10_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_268,plain,
( ( f5 @ ~ $true )
| ( f6 @ $true )
| epred15_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_269,plain,
( ( f5 @ $true )
| epred15_0
| ~ epred14_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_20]),c_0_238]),c_0_239]) ).
thf(c_0_270,plain,
( epred14_0
| ~ ( f6 @ ~ $true )
| ~ x ),
inference(csr,[status(thm)],[c_0_240,c_0_241]) ).
thf(c_0_271,plain,
( ( f6 @ ~ $true )
| ( f6 @ $true )
| epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
thf(c_0_272,plain,
( epred13_0
| x
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_215]),c_0_243]) ).
thf(c_0_273,plain,
( ( f5 @ ~ $true )
| ( f6 @ ~ $true )
| ( f6 @ $true )
| epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_274,plain,
( ( f5 @ ~ $true )
| epred1_0
| epred2_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_162]) ).
thf(c_0_275,plain,
( epred16_0
| ~ epred14_0
| ~ ( f6 @ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_276,plain,
( ( f6 @ ~ $true )
| ( f6 @ $true )
| epred16_0
| ~ ( f5 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_277,plain,
( ( f6 @ $true )
| epred16_0
| ~ ( f5 @ ~ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_278,plain,
( ~ ( f6 @ ~ $true )
| ~ x
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_246,c_0_247]) ).
thf(c_0_279,plain,
( ( f6 @ ~ $true )
| ( f6 @ $true )
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_248,c_0_185]) ).
thf(c_0_280,plain,
( ~ ( f6 @ $true )
| ~ ( f6 @ ~ $true )
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_249,c_0_247]) ).
thf(c_0_281,plain,
( epred14_0
| ~ ( f6 @ ~ $true )
| ~ ( f5 @ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_282,plain,
( ( f5 @ $true )
| epred14_0
| ~ epred16_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_250]),c_0_251]) ).
thf(c_0_283,plain,
( epred13_0
| ~ ( f6 @ $true )
| ~ ( f5 @ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_284,plain,
( ( f5 @ $true )
| epred13_0
| ~ epred16_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_252]),c_0_253]) ).
thf(c_0_285,plain,
( epred16_0
| ~ epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_222]),c_0_255]) ).
thf(c_0_286,plain,
( epred15_0
| ~ epred19_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).
thf(c_0_287,negated_conjecture,
( epred10_0
| epred20_0
| ~ epred23_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_259,c_0_208]) ).
thf(c_0_288,plain,
( epred19_0
| ~ epred9_0
| ~ epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]) ).
thf(c_0_289,plain,
( epred23_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ~ epred25_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
thf(c_0_290,plain,
( ( f0 @ $true )
| epred26_0
| ~ ( f0 @ ~ $true )
| ~ epred24_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_291,plain,
( epred26_0
| ~ epred24_0
| ~ ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_263]) ).
thf(c_0_292,plain,
( epred9_0
| ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_293,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_294,plain,
( epred9_0
| ~ epred11_0
| ~ ( f1 @ $true ) ),
inference(cn,[status(thm)],[c_0_264]) ).
thf(c_0_295,negated_conjecture,
( ~ epred12_0
| ~ epred26_0
| ~ ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_265]) ).
thf(c_0_296,negated_conjecture,
( epred11_0
| epred25_0
| ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_266]) ).
thf(c_0_297,plain,
( ( f1 @ $true )
| epred12_0
| ~ ( f1 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_298,plain,
( epred12_0
| ~ epred10_0
| ~ ( f1 @ $true ) ),
inference(cn,[status(thm)],[c_0_267]) ).
thf(c_0_299,plain,
( ( f5 @ ~ $true )
| epred15_0
| ~ epred1_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_268]),c_0_238]),c_0_269]) ).
thf(c_0_300,plain,
( ( f6 @ $true )
| epred13_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).
thf(c_0_301,plain,
( ( f5 @ ~ $true )
| ( f6 @ $true )
| epred15_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_273]),c_0_268]) ).
thf(c_0_302,plain,
( epred2_0
| ~ x
| ~ ( f6 @ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_303,plain,
( ( f5 @ ~ $true )
| ( f6 @ $true )
| epred1_0
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_304,plain,
( x
| epred1_0
| epred2_0
| ~ ( f5 @ $true ) ),
inference(spm,[status(thm)],[c_0_125,c_0_274]) ).
thf(c_0_305,plain,
( x
| epred16_0
| ~ ( f5 @ $true )
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_185]) ).
thf(c_0_306,plain,
( ( f5 @ $true )
| x
| ~ epred2_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_150]) ).
thf(c_0_307,plain,
( ( f6 @ $true )
| epred16_0
| ~ ( f5 @ ~ $true )
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_276]),c_0_277]) ).
thf(c_0_308,plain,
( ( f6 @ $true )
| ~ epred13_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_185]) ).
thf(c_0_309,plain,
( x
| ~ epred13_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_150]),c_0_185]) ).
thf(c_0_310,plain,
( epred14_0
| ~ ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_250]) ).
thf(c_0_311,plain,
( ( f5 @ ~ $true )
| epred14_0
| ~ epred15_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_218]),c_0_282]) ).
thf(c_0_312,plain,
( epred13_0
| ~ ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_283,c_0_252]) ).
thf(c_0_313,plain,
( ( f5 @ ~ $true )
| epred13_0
| ~ epred15_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_220]),c_0_284]) ).
thf(c_0_314,plain,
( epred16_0
| ~ epred19_0
| ~ epred20_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_255]),c_0_285]) ).
thf(c_0_315,plain,
( epred10_0
| epred15_0
| ~ epred23_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).
thf(c_0_316,plain,
( epred23_0
| ( f0 @ $true )
| ~ ( f0 @ ~ $true )
| ~ epred25_0 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
thf(c_0_317,plain,
( epred23_0
| ~ epred25_0
| ~ ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_289]) ).
thf(c_0_318,plain,
( epred26_0
| ~ ( f0 @ ~ $true )
| ~ epred24_0 ),
inference(csr,[status(thm)],[c_0_290,c_0_291]) ).
thf(c_0_319,negated_conjecture,
( epred26_0
| ( f0 @ ~ $true )
| epred11_0
| ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_320,plain,
( epred9_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_292,c_0_293]),c_0_294]) ).
thf(c_0_321,negated_conjecture,
( epred25_0
| epred11_0
| ~ epred12_0
| ~ epred26_0 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
thf(c_0_322,negated_conjecture,
( epred25_0
| epred11_0
| epred26_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_296]) ).
thf(c_0_323,plain,
( epred12_0
| ~ ( f1 @ ~ $true )
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_297,c_0_298]) ).
thf(c_0_324,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_325,plain,
( epred12_0
| ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_326,plain,
( epred22_0
| ~ epred20_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
thf(c_0_327,plain,
( ( f2 @ ~ $true )
| ( f2 @ ~ $true )
| epred21_0
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_328,plain,
( epred15_0
| ~ epred1_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_299]),c_0_269]) ).
thf(c_0_329,plain,
( epred13_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_300]),c_0_272]) ).
thf(c_0_330,plain,
( epred14_0
| ~ ( f5 @ ~ $true )
| ~ x
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_20]) ).
thf(c_0_331,plain,
( ( f5 @ ~ $true )
| epred15_0
| epred14_0
| ~ x ),
inference(spm,[status(thm)],[c_0_241,c_0_301]) ).
thf(c_0_332,plain,
( epred4_0
| ~ epred2_0
| ~ ( f5 @ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
thf(c_0_333,plain,
( ( f5 @ ~ $true )
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]),c_0_162]) ).
thf(c_0_334,plain,
( ( f5 @ $true )
| epred1_0
| ~ x
| ~ ( f6 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_335,plain,
( ( f6 @ $true )
| epred2_0
| ~ ( f5 @ ~ $true )
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_336,plain,
( epred16_0
| x
| ~ epred14_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
thf(c_0_337,plain,
( epred16_0
| epred14_0
| ~ ( f5 @ ~ $true )
| ~ x ),
inference(spm,[status(thm)],[c_0_241,c_0_307]) ).
thf(c_0_338,plain,
( ( f5 @ ~ $true )
| epred14_0
| ~ x
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_15]) ).
thf(c_0_339,plain,
( x
| ( f5 @ $true )
| epred1_0
| ~ ( f6 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_340,plain,
( ~ epred13_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_308]),c_0_309]) ).
thf(c_0_341,plain,
( epred14_0
| ~ epred15_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_282]) ).
thf(c_0_342,plain,
( epred13_0
| ~ epred15_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_284]) ).
thf(c_0_343,plain,
( epred16_0
| ~ epred19_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_257]) ).
thf(c_0_344,plain,
( epred15_0
| epred6_0
| ~ epred9_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_315]) ).
thf(c_0_345,plain,
( epred15_0
| epred5_0
| ~ epred9_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_315]) ).
thf(c_0_346,plain,
( epred23_0
| ~ ( f0 @ ~ $true )
| ~ epred25_0 ),
inference(csr,[status(thm)],[c_0_316,c_0_317]) ).
thf(c_0_347,plain,
( epred23_0
| ( f0 @ $true )
| ( f0 @ ~ $true )
| ~ epred26_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_348,negated_conjecture,
( epred11_0
| epred26_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_291]) ).
thf(c_0_349,plain,
( epred25_0
| epred9_0
| ~ epred12_0
| ~ epred26_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
thf(c_0_350,plain,
( epred26_0
| epred25_0
| epred9_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_322]) ).
thf(c_0_351,plain,
( epred11_0
| epred12_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_298]) ).
thf(c_0_352,plain,
( epred12_0
| ~ epred9_0
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_325]) ).
thf(c_0_353,plain,
( epred24_0
| ~ epred22_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_354,plain,
( ( f1 @ $true )
| epred23_0
| ~ epred22_0
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_355,plain,
( ( f2 @ $true )
| epred22_0
| ~ ( f2 @ ~ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
thf(c_0_356,plain,
( epred22_0
| ~ epred20_0
| ~ ( f2 @ $true ) ),
inference(cn,[status(thm)],[c_0_326]) ).
thf(c_0_357,plain,
( epred24_0
| ~ ( f2 @ ~ $true )
| ~ epred21_0
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_358,plain,
( ( f1 @ $true )
| epred23_0
| ~ ( f2 @ ~ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_359,plain,
( ( f2 @ $true )
| epred21_0
| ~ ( f2 @ ~ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_360,plain,
( epred21_0
| ( f2 @ ~ $true )
| ~ epred19_0 ),
inference(cn,[status(thm)],[c_0_327]) ).
thf(c_0_361,plain,
( ( f4 @ ~ $true )
| ( f4 @ ~ $true )
| epred17_0
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
thf(c_0_362,plain,
( ( f5 @ $true )
| epred15_0
| ~ ( f6 @ ~ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_363,plain,
( epred13_0
| epred15_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
thf(c_0_364,plain,
( epred15_0
| ~ x
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_328]) ).
thf(c_0_365,plain,
( ( f5 @ $true )
| epred4_0
| ~ ( f5 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
thf(c_0_366,plain,
( epred4_0
| ~ epred2_0
| ~ ( f5 @ $true ) ),
inference(cn,[status(thm)],[c_0_332]) ).
thf(c_0_367,plain,
( epred4_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
thf(c_0_368,plain,
( epred1_0
| epred2_0
| ~ ( f5 @ $true ) ),
inference(spm,[status(thm)],[c_0_125,c_0_333]) ).
thf(c_0_369,plain,
( ( f5 @ $true )
| epred2_0
| epred1_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_162]) ).
thf(c_0_370,plain,
( epred16_0
| ~ ( f6 @ ~ $true )
| ~ ( f6 @ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_371,plain,
( epred16_0
| ~ ( f5 @ ~ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_372,plain,
( ( f5 @ ~ $true )
| epred16_0
| ~ epred14_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_15]),c_0_336]),c_0_73]) ).
thf(c_0_373,plain,
( epred14_0
| epred16_0
| ~ x
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
thf(c_0_374,plain,
( ( f5 @ $true )
| epred1_0
| x
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_150]) ).
thf(c_0_375,plain,
( ~ epred15_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_342]) ).
thf(c_0_376,plain,
( epred10_0
| epred16_0
| ~ epred23_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_287]),c_0_288]) ).
thf(c_0_377,plain,
( epred15_0
| ~ epred9_0
| ~ epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_344]),c_0_345]) ).
thf(c_0_378,plain,
( epred23_0
| ~ epred25_0
| ~ epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_317]) ).
thf(c_0_379,plain,
( epred26_0
| epred9_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_348]) ).
thf(c_0_380,plain,
( epred9_0
| epred25_0
| ~ epred12_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
thf(c_0_381,plain,
( epred12_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_351]),c_0_352]) ).
thf(c_0_382,plain,
( ( f2 @ $true )
| epred24_0
| ~ ( f1 @ ~ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_383,plain,
( ( f1 @ ~ $true )
| ( f2 @ $true )
| epred23_0
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_384,plain,
( epred23_0
| epred24_0
| ~ ( f2 @ $true )
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
thf(c_0_385,plain,
( epred22_0
| ~ ( f2 @ ~ $true )
| ~ epred20_0 ),
inference(csr,[status(thm)],[c_0_355,c_0_356]) ).
thf(c_0_386,plain,
( ( f2 @ ~ $true )
| ( f2 @ $true )
| epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_387,plain,
( ( f2 @ ~ $true )
| epred24_0
| ~ ( f1 @ ~ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_388,plain,
( ( f1 @ ~ $true )
| ( f2 @ ~ $true )
| epred23_0
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
thf(c_0_389,plain,
( epred23_0
| epred24_0
| ~ ( f2 @ ~ $true )
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
thf(c_0_390,plain,
( epred20_0
| ~ epred18_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_391,plain,
( ( f3 @ $true )
| epred19_0
| ~ epred18_0
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_392,plain,
( ( f4 @ $true )
| epred18_0
| ~ ( f4 @ ~ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
thf(c_0_393,plain,
( epred18_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
thf(c_0_394,plain,
( epred18_0
| ~ epred16_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
thf(c_0_395,plain,
( epred20_0
| ~ ( f4 @ ~ $true )
| ~ epred17_0
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_396,plain,
( ( f3 @ $true )
| epred19_0
| ~ ( f4 @ ~ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_397,plain,
( epred22_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
thf(c_0_398,plain,
( ( f2 @ $true )
| epred21_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[c_0_359,c_0_360]) ).
thf(c_0_399,plain,
( ( f5 @ ~ $true )
| epred15_0
| epred16_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_268]),c_0_239]) ).
thf(c_0_400,plain,
( ( f5 @ $true )
| epred16_0
| epred15_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_277]),c_0_239]) ).
thf(c_0_401,plain,
( ( f4 @ $true )
| epred17_0
| ~ ( f4 @ ~ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
thf(c_0_402,plain,
( epred17_0
| ( f4 @ ~ $true )
| ~ epred15_0 ),
inference(cn,[status(thm)],[c_0_361]) ).
thf(c_0_403,plain,
( ( f3 @ ~ $true )
| ( f3 @ ~ $true )
| epred7_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
thf(c_0_404,plain,
( ( f5 @ ~ $true )
| ( f6 @ ~ $true )
| epred15_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
thf(c_0_405,plain,
( ( f5 @ $true )
| epred15_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_31]),c_0_363]),c_0_239]),c_0_364]) ).
thf(c_0_406,plain,
( epred4_0
| ~ ( f5 @ ~ $true )
| ~ epred2_0 ),
inference(csr,[status(thm)],[c_0_365,c_0_366]) ).
thf(c_0_407,plain,
( epred4_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_367]) ).
thf(c_0_408,plain,
( ( f6 @ ~ $true )
| x
| epred2_0
| ~ ( f5 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_409,plain,
( epred2_0
| epred1_0
| ~ x ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
thf(c_0_410,plain,
( epred13_0
| x
| epred16_0
| ~ ( f5 @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_215]),c_0_243]) ).
thf(c_0_411,plain,
( ( f5 @ $true )
| epred13_0
| epred1_0
| x ),
inference(spm,[status(thm)],[c_0_339,c_0_215]) ).
thf(c_0_412,plain,
( epred16_0
| ~ ( f5 @ $true )
| ~ epred14_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
thf(c_0_413,plain,
( ( f5 @ $true )
| epred16_0
| ~ x
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_277]),c_0_373]),c_0_73]) ).
thf(c_0_414,plain,
( epred1_0
| epred16_0
| x
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_374]) ).
thf(c_0_415,plain,
( ( f5 @ ~ $true )
| epred1_0
| epred14_0
| ~ x ),
inference(spm,[status(thm)],[c_0_241,c_0_303]) ).
thf(c_0_416,plain,
( epred10_0
| ~ epred23_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]) ).
thf(c_0_417,plain,
( epred9_0
| epred23_0
| ~ epred25_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
thf(c_0_418,plain,
( epred25_0
| epred9_0
| ~ epred24_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
thf(c_0_419,plain,
( epred23_0
| epred24_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]) ).
thf(c_0_420,plain,
( epred21_0
| epred22_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_356]) ).
thf(c_0_421,plain,
( epred23_0
| epred24_0
| ~ epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_389]) ).
thf(c_0_422,plain,
( ( f4 @ $true )
| epred20_0
| ~ ( f3 @ ~ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_423,plain,
( ( f3 @ ~ $true )
| ( f4 @ $true )
| epred19_0
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_424,plain,
( epred19_0
| epred20_0
| ~ ( f4 @ $true )
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
thf(c_0_425,plain,
( epred18_0
| ~ ( f4 @ ~ $true )
| ~ epred16_0 ),
inference(csr,[status(thm)],[c_0_392,c_0_393]) ).
thf(c_0_426,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
thf(c_0_427,plain,
( epred18_0
| ~ epred16_0
| ~ ( f4 @ $true ) ),
inference(cn,[status(thm)],[c_0_394]) ).
thf(c_0_428,plain,
( ( f4 @ ~ $true )
| epred20_0
| ~ ( f3 @ ~ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_429,plain,
( ( f3 @ ~ $true )
| ( f4 @ ~ $true )
| epred19_0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_430,plain,
( epred19_0
| epred20_0
| ~ ( f4 @ ~ $true )
| ~ epred17_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
thf(c_0_431,plain,
( epred21_0
| epred22_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_360]),c_0_398]) ).
thf(c_0_432,plain,
( epred16_0
| ~ ( f6 @ ~ $true )
| ~ epred13_0
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_433,plain,
( epred15_0
| epred16_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_399]),c_0_400]) ).
thf(c_0_434,plain,
( ( f4 @ $true )
| epred17_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[c_0_401,c_0_402]) ).
thf(c_0_435,plain,
( epred8_0
| ~ epred6_0
| ~ ( f3 @ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_436,plain,
( ( f5 @ ~ $true )
| ( f5 @ ~ $true )
| epred3_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
thf(c_0_437,plain,
( epred3_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
thf(c_0_438,plain,
( ( f3 @ $true )
| epred7_0
| ~ ( f3 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
thf(c_0_439,plain,
( epred7_0
| ( f3 @ ~ $true )
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_403]) ).
thf(c_0_440,plain,
( epred6_0
| ~ epred4_0
| ~ ( f4 @ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_441,plain,
( ( f5 @ ~ $true )
| epred15_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_404]),c_0_363]),c_0_405]),c_0_364]) ).
thf(c_0_442,plain,
( epred4_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_162]),c_0_407]),c_0_366]) ).
thf(c_0_443,plain,
( epred2_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_408]),c_0_333]),c_0_409]),c_0_368]) ).
thf(c_0_444,plain,
( epred1_0
| epred16_0
| x
| epred13_0 ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
thf(c_0_445,plain,
( epred16_0
| ~ epred14_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_336]) ).
thf(c_0_446,plain,
( ( f5 @ ~ $true )
| epred1_0
| epred16_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_303]),c_0_414]),c_0_162]) ).
thf(c_0_447,plain,
( epred1_0
| epred14_0
| epred16_0
| ~ x ),
inference(spm,[status(thm)],[c_0_337,c_0_415]) ).
thf(c_0_448,plain,
( epred6_0
| ~ epred9_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_416]) ).
thf(c_0_449,plain,
( epred5_0
| ~ epred9_0
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_416]) ).
thf(c_0_450,plain,
( epred23_0
| epred9_0
| ~ epred24_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
thf(c_0_451,plain,
( epred24_0
| epred23_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]) ).
thf(c_0_452,plain,
( epred19_0
| epred20_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_424]) ).
thf(c_0_453,plain,
( epred17_0
| epred18_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_427]) ).
thf(c_0_454,plain,
( epred19_0
| epred20_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]) ).
thf(c_0_455,plain,
( epred24_0
| epred23_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_431]),c_0_421]) ).
thf(c_0_456,plain,
( ( f5 @ ~ $true )
| epred15_0
| epred16_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_404]),c_0_239]) ).
thf(c_0_457,plain,
( epred13_0
| epred16_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_329]) ).
thf(c_0_458,plain,
( ( f6 @ ~ $true )
| epred16_0
| ~ ( f5 @ ~ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
thf(c_0_459,plain,
( epred17_0
| epred18_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_402]),c_0_434]) ).
thf(c_0_460,plain,
( epred10_0
| ~ epred8_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_461,plain,
( ( f1 @ $true )
| epred9_0
| ~ epred8_0
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_462,plain,
( ( f3 @ $true )
| epred8_0
| ~ ( f3 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_463,plain,
( epred8_0
| ~ epred6_0
| ~ ( f3 @ $true ) ),
inference(cn,[status(thm)],[c_0_435]) ).
thf(c_0_464,plain,
( epred8_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_465,plain,
( ( f5 @ $true )
| epred3_0
| ~ ( f5 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
thf(c_0_466,plain,
( epred3_0
| ( f5 @ ~ $true )
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_436]) ).
thf(c_0_467,plain,
( epred3_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_437]) ).
thf(c_0_468,plain,
( epred10_0
| ~ ( f2 @ ~ $true )
| ~ epred7_0
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_469,plain,
( ( f1 @ $true )
| epred9_0
| ~ ( f2 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_470,plain,
( epred8_0
| ~ ( f3 @ ~ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
thf(c_0_471,plain,
( ( f3 @ $true )
| epred7_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_438,c_0_439]) ).
thf(c_0_472,plain,
( epred7_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
thf(c_0_473,plain,
( ( f4 @ $true )
| epred6_0
| ~ ( f3 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_474,plain,
( epred17_0
| epred6_0
| ~ ( f4 @ $true )
| ~ epred4_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_194]) ).
thf(c_0_475,plain,
( epred15_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_441]),c_0_405]) ).
thf(c_0_476,plain,
( epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
thf(c_0_477,plain,
( ( f5 @ ~ $true )
| epred1_0
| x
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_245]),c_0_444]),c_0_162]) ).
thf(c_0_478,plain,
( epred13_0
| epred16_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_445,c_0_329]) ).
thf(c_0_479,plain,
( epred1_0
| epred16_0
| ~ ( f5 @ $true )
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_446]) ).
thf(c_0_480,plain,
( ( f5 @ $true )
| epred16_0
| epred1_0
| ~ x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_277]),c_0_447]),c_0_162]) ).
thf(c_0_481,plain,
( ~ epred9_0
| ~ epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_448]),c_0_449]) ).
thf(c_0_482,plain,
( epred9_0
| epred23_0
| ~ epred10_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
thf(c_0_483,plain,
( epred20_0
| epred19_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_454]) ).
thf(c_0_484,plain,
( epred9_0
| epred23_0
| ~ epred10_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_450,c_0_455]) ).
thf(c_0_485,plain,
( epred15_0
| epred16_0
| ~ ( f5 @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_456]),c_0_457]) ).
thf(c_0_486,plain,
( ( f5 @ $true )
| epred16_0
| epred15_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_458]),c_0_239]) ).
thf(c_0_487,plain,
( epred20_0
| epred19_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_459]),c_0_454]) ).
thf(c_0_488,plain,
( ( f2 @ $true )
| epred10_0
| ~ ( f1 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_489,plain,
( ( f1 @ ~ $true )
| ( f2 @ $true )
| epred9_0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_490,plain,
( epred9_0
| epred10_0
| ~ ( f2 @ $true )
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
thf(c_0_491,plain,
( epred8_0
| ~ ( f3 @ ~ $true )
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_462,c_0_463]) ).
thf(c_0_492,plain,
( epred8_0
| ~ epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_464]) ).
thf(c_0_493,plain,
( ( f3 @ $true )
| epred5_0
| ~ epred4_0
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_494,plain,
( epred4_0
| ~ ( f5 @ ~ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
thf(c_0_495,plain,
( ( f5 @ $true )
| epred3_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_465,c_0_466]) ).
thf(c_0_496,plain,
( epred3_0
| ~ epred1_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_467,c_0_160]) ).
thf(c_0_497,plain,
( epred6_0
| ~ ( f4 @ ~ $true )
| ~ epred3_0
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_498,plain,
( ( f3 @ $true )
| epred5_0
| ~ ( f4 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_499,plain,
( ( f2 @ ~ $true )
| epred10_0
| ~ ( f1 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_500,plain,
( ( f1 @ ~ $true )
| ( f2 @ ~ $true )
| epred9_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_501,plain,
( epred9_0
| epred10_0
| ~ ( f2 @ ~ $true )
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
thf(c_0_502,plain,
( epred7_0
| epred8_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_439]),c_0_471]) ).
thf(c_0_503,plain,
( epred7_0
| ~ epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_472]) ).
thf(c_0_504,plain,
( epred6_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_505,plain,
( epred17_0
| epred6_0
| ~ epred4_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_229]),c_0_474]) ).
thf(c_0_506,plain,
( epred4_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
thf(c_0_507,plain,
( epred16_0
| ~ ( f5 @ ~ $true )
| ~ x
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_458]) ).
thf(c_0_508,plain,
( ( f5 @ ~ $true )
| epred1_0
| ~ x
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_303]) ).
thf(c_0_509,plain,
( x
| epred1_0
| epred16_0
| ~ ( f5 @ $true ) ),
inference(spm,[status(thm)],[c_0_371,c_0_477]) ).
thf(c_0_510,plain,
( ( f5 @ $true )
| epred16_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_458]),c_0_478]),c_0_73]),c_0_413]) ).
thf(c_0_511,plain,
( epred16_0
| epred1_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_414]) ).
thf(c_0_512,plain,
( ( f5 @ ~ $true )
| epred14_0
| ~ x
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_218]) ).
thf(c_0_513,plain,
( epred13_0
| x
| ~ ( f5 @ $true )
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_215]) ).
thf(c_0_514,plain,
( ( f5 @ $true )
| x
| epred13_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_243]) ).
thf(c_0_515,plain,
( epred23_0
| epred8_0
| ~ ( f2 @ ~ $true )
| ~ epred9_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_132,c_0_358]) ).
thf(c_0_516,plain,
( ( f2 @ ~ $true )
| epred8_0
| ~ epred9_0
| ~ epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_388]),c_0_481]) ).
thf(c_0_517,plain,
( epred10_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
thf(c_0_518,plain,
( epred23_0
| epred9_0
| ~ epred10_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_484]) ).
thf(c_0_519,plain,
( epred16_0
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_457]) ).
thf(c_0_520,plain,
( epred23_0
| epred9_0
| ~ epred10_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_487]),c_0_484]) ).
thf(c_0_521,plain,
( epred9_0
| epred10_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_490]) ).
thf(c_0_522,plain,
( epred8_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_179]),c_0_492]),c_0_463]) ).
thf(c_0_523,plain,
( ( f3 @ ~ $true )
| ( f4 @ $true )
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_524,plain,
( epred5_0
| epred6_0
| ~ ( f4 @ $true )
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_493]) ).
thf(c_0_525,plain,
( epred3_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_466]),c_0_495]),c_0_496]) ).
thf(c_0_526,plain,
( ( f4 @ ~ $true )
| epred6_0
| ~ ( f3 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_527,plain,
( ( f3 @ ~ $true )
| ( f4 @ ~ $true )
| epred5_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_528,plain,
( epred5_0
| epred6_0
| ~ ( f4 @ ~ $true )
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_498]) ).
thf(c_0_529,plain,
( epred9_0
| epred10_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_501]) ).
thf(c_0_530,plain,
( epred7_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_502]),c_0_503]) ).
thf(c_0_531,plain,
( epred18_0
| epred6_0
| ~ ( f4 @ ~ $true )
| ~ epred3_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_192]) ).
thf(c_0_532,plain,
( epred17_0
| epred6_0
| ~ ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_504,c_0_194]) ).
thf(c_0_533,plain,
( epred15_0
| epred6_0
| epred17_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_505,c_0_506]) ).
thf(c_0_534,plain,
( epred1_0
| epred16_0
| ~ x
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_507,c_0_508]) ).
thf(c_0_535,plain,
( epred16_0
| epred1_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_443]) ).
thf(c_0_536,plain,
( epred13_0
| epred1_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_511,c_0_329]) ).
thf(c_0_537,plain,
( epred14_0
| ~ x
| ~ epred1_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_330,c_0_512]) ).
thf(c_0_538,plain,
( x
| epred13_0
| ~ epred1_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
thf(c_0_539,plain,
( epred14_0
| ~ ( f5 @ ~ $true )
| ~ x
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_250]) ).
thf(c_0_540,plain,
( x
| epred13_0
| ~ ( f5 @ $true )
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_283,c_0_243]) ).
thf(c_0_541,plain,
( epred8_0
| ~ epred9_0
| ~ epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_481]) ).
thf(c_0_542,plain,
( epred21_0
| epred10_0
| ~ ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_517,c_0_109]) ).
thf(c_0_543,plain,
( epred9_0
| epred23_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_519]),c_0_520]) ).
thf(c_0_544,plain,
( epred10_0
| epred9_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_521,c_0_522]) ).
thf(c_0_545,plain,
( epred5_0
| epred6_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_523]),c_0_524]) ).
thf(c_0_546,plain,
( epred4_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_525,c_0_476]) ).
thf(c_0_547,plain,
( epred5_0
| epred6_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_528]) ).
thf(c_0_548,plain,
( epred10_0
| epred9_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_529,c_0_530]) ).
thf(c_0_549,plain,
( epred18_0
| epred6_0
| ~ epred3_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_226]),c_0_531]) ).
thf(c_0_550,plain,
( epred6_0
| epred17_0
| ~ ( f4 @ $true )
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_402]),c_0_533]) ).
thf(c_0_551,plain,
( epred16_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_536]) ).
thf(c_0_552,plain,
( ( f5 @ $true )
| epred14_0
| ~ epred16_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_31]),c_0_251]),c_0_537]) ).
thf(c_0_553,plain,
( ( f5 @ $true )
| epred13_0
| ~ epred16_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_20]),c_0_538]),c_0_253]) ).
thf(c_0_554,plain,
( epred1_0
| epred14_0
| ~ x
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_539,c_0_415]) ).
thf(c_0_555,plain,
( epred1_0
| epred13_0
| x
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_540,c_0_411]) ).
thf(c_0_556,plain,
( ( f5 @ $true )
| epred13_0
| x
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_215]) ).
thf(c_0_557,plain,
( epred13_0
| epred2_0
| x
| ~ ( f5 @ $true ) ),
inference(spm,[status(thm)],[c_0_244,c_0_215]) ).
thf(c_0_558,plain,
( epred6_0
| ~ epred9_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_541]) ).
thf(c_0_559,plain,
( epred10_0
| epred21_0
| ~ epred24_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_360]),c_0_398]) ).
thf(c_0_560,plain,
( epred23_0
| epred9_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_543,c_0_544]) ).
thf(c_0_561,plain,
( epred6_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_547]) ).
thf(c_0_562,plain,
( epred23_0
| epred9_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_543,c_0_548]) ).
thf(c_0_563,plain,
( epred5_0
| epred17_0
| ~ ( f4 @ $true )
| ~ epred19_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_493]) ).
thf(c_0_564,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| epred6_0
| ~ ( f3 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
thf(c_0_565,plain,
( epred6_0
| epred16_0
| ~ epred17_0
| ~ epred3_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_549]) ).
thf(c_0_566,plain,
( epred17_0
| epred6_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_434]),c_0_533]) ).
thf(c_0_567,plain,
( epred16_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_525,c_0_551]) ).
thf(c_0_568,plain,
( ( f5 @ ~ $true )
| epred14_0
| ~ epred1_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_218]),c_0_552]),c_0_537]) ).
thf(c_0_569,plain,
( ( f5 @ ~ $true )
| epred13_0
| ~ epred1_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_220]),c_0_538]),c_0_553]) ).
thf(c_0_570,plain,
( ( f5 @ ~ $true )
| epred1_0
| epred14_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_245]),c_0_162]),c_0_554]) ).
thf(c_0_571,plain,
( ( f5 @ ~ $true )
| epred1_0
| epred13_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_303]),c_0_555]),c_0_162]) ).
thf(c_0_572,plain,
( epred13_0
| x
| ~ epred15_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_540,c_0_556]) ).
thf(c_0_573,plain,
( epred1_0
| x
| epred2_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_557,c_0_411]) ).
thf(c_0_574,plain,
( epred9_0
| epred22_0
| ~ ( f2 @ ~ $true )
| ~ epred23_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_469]) ).
thf(c_0_575,plain,
( ( f1 @ $true )
| epred9_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_576,plain,
( epred6_0
| ~ epred9_0
| ~ epred24_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_235]) ).
thf(c_0_577,plain,
( epred9_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_561]),c_0_562]) ).
thf(c_0_578,plain,
( ( f3 @ $true )
| epred5_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_579,plain,
( epred5_0
| epred17_0
| ~ epred19_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_523]),c_0_563]) ).
thf(c_0_580,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| epred18_0
| epred6_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_564,c_0_226]) ).
thf(c_0_581,plain,
( epred16_0
| epred6_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_566]),c_0_567]) ).
thf(c_0_582,plain,
( epred19_0
| epred6_0
| ~ ( f4 @ $true )
| ~ epred4_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_391]) ).
thf(c_0_583,plain,
( epred14_0
| ~ epred1_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_568]),c_0_552]) ).
thf(c_0_584,plain,
( epred13_0
| ~ epred1_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_569]),c_0_553]) ).
thf(c_0_585,plain,
( epred1_0
| epred14_0
| ~ ( f5 @ $true )
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_570]) ).
thf(c_0_586,plain,
( ( f5 @ $true )
| epred1_0
| x
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_250]),c_0_570]),c_0_374]) ).
thf(c_0_587,plain,
( epred1_0
| epred13_0
| ~ ( f5 @ $true )
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_571]) ).
thf(c_0_588,plain,
( ( f5 @ $true )
| epred13_0
| ~ epred2_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_252]),c_0_572]),c_0_73]) ).
thf(c_0_589,plain,
( epred13_0
| epred1_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_573]) ).
thf(c_0_590,plain,
( epred9_0
| epred22_0
| ~ epred23_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_500]),c_0_574]) ).
thf(c_0_591,plain,
( epred9_0
| epred21_0
| ~ ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred23_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_575]) ).
thf(c_0_592,plain,
( epred23_0
| epred6_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_455]),c_0_577]) ).
thf(c_0_593,plain,
( epred5_0
| epred18_0
| ~ ( f4 @ ~ $true )
| ~ epred19_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_498]) ).
thf(c_0_594,plain,
( epred5_0
| epred17_0
| ~ ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_578]) ).
thf(c_0_595,plain,
( epred15_0
| epred17_0
| epred5_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_506]) ).
thf(c_0_596,plain,
( epred19_0
| ~ epred18_0
| ~ epred17_0
| ~ epred18_0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
thf(c_0_597,plain,
( ( f4 @ $true )
| epred6_0
| epred18_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_580]),c_0_581]) ).
thf(c_0_598,plain,
( epred19_0
| epred6_0
| ~ epred4_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_423]),c_0_582]) ).
thf(c_0_599,plain,
( ~ epred1_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_583]),c_0_584]) ).
thf(c_0_600,plain,
( epred19_0
| epred6_0
| ~ ( f4 @ ~ $true )
| ~ epred3_0
| ~ epred17_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_396]) ).
thf(c_0_601,plain,
( epred14_0
| epred1_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_554]) ).
thf(c_0_602,plain,
( epred13_0
| epred1_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_589]) ).
thf(c_0_603,plain,
( epred20_0
| ~ epred21_0
| ~ epred23_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_590]),c_0_481]) ).
thf(c_0_604,plain,
( epred21_0
| epred9_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_360]),c_0_577]),c_0_398]) ).
thf(c_0_605,plain,
( epred23_0
| ~ epred5_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_592]) ).
thf(c_0_606,plain,
( epred5_0
| epred18_0
| ~ epred19_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_527]),c_0_593]) ).
thf(c_0_607,plain,
( epred17_0
| epred5_0
| ~ ( f4 @ $true )
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_402]),c_0_595]) ).
thf(c_0_608,plain,
( epred19_0
| ~ epred17_0
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_596]) ).
thf(c_0_609,plain,
( epred6_0
| epred18_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_597]),c_0_581]) ).
thf(c_0_610,plain,
( epred17_0
| epred6_0
| epred19_0
| ~ epred4_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_598,c_0_453]) ).
thf(c_0_611,plain,
( epred4_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_599,c_0_476]) ).
thf(c_0_612,plain,
( epred19_0
| epred6_0
| ~ epred3_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_429]),c_0_600]) ).
thf(c_0_613,plain,
( epred1_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_601]),c_0_602]) ).
thf(c_0_614,plain,
( epred9_0
| epred20_0
| ~ epred7_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_604]),c_0_577]) ).
thf(c_0_615,plain,
( ~ epred9_0
| ~ epred5_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_605]) ).
thf(c_0_616,plain,
( epred5_0
| epred16_0
| ~ epred17_0
| ~ epred19_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_606]) ).
thf(c_0_617,plain,
( epred5_0
| epred17_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_434]),c_0_595]) ).
thf(c_0_618,plain,
( epred6_0
| epred19_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_609]),c_0_454]) ).
thf(c_0_619,plain,
( epred19_0
| epred6_0
| epred17_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_610,c_0_611]) ).
thf(c_0_620,plain,
( epred6_0
| epred19_0
| ~ epred3_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_612,c_0_566]) ).
thf(c_0_621,plain,
( epred3_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_525,c_0_613]) ).
thf(c_0_622,plain,
( epred20_0
| ~ epred19_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_530]),c_0_615]) ).
thf(c_0_623,plain,
( epred16_0
| epred5_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_617]),c_0_567]) ).
thf(c_0_624,plain,
( ( f1 @ ~ $true )
| ( f2 @ ~ $true )
| ( f2 @ $true )
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
thf(c_0_625,plain,
( epred19_0
| epred6_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_619]) ).
thf(c_0_626,plain,
( epred19_0
| epred6_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_487]) ).
thf(c_0_627,plain,
( epred16_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_622]),c_0_623]) ).
thf(c_0_628,plain,
( ( f2 @ $true )
| ( f2 @ ~ $true )
| epred9_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_624]),c_0_577]) ).
thf(c_0_629,plain,
( epred9_0
| epred21_0
| ~ ( f2 @ $true )
| ~ epred23_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_461]) ).
thf(c_0_630,plain,
( ( f3 @ ~ $true )
| ( f4 @ ~ $true )
| ( f4 @ $true )
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
thf(c_0_631,plain,
( epred6_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_519]),c_0_626]) ).
thf(c_0_632,plain,
( ~ epred15_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_627]) ).
thf(c_0_633,plain,
( epred19_0
| ~ epred5_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_626]) ).
thf(c_0_634,plain,
( epred9_0
| epred22_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_628]),c_0_356]) ).
thf(c_0_635,plain,
( epred9_0
| epred21_0
| ~ epred23_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_489]),c_0_629]) ).
thf(c_0_636,plain,
( ( f4 @ $true )
| ( f4 @ ~ $true )
| epred5_0
| epred18_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_630]) ).
thf(c_0_637,plain,
( epred15_0
| ~ epred19_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_286,c_0_622]) ).
thf(c_0_638,plain,
( epred19_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_631]) ).
thf(c_0_639,plain,
( ~ epred15_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_632,c_0_633]) ).
thf(c_0_640,plain,
( epred9_0
| epred19_0
| ~ epred21_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_634]) ).
thf(c_0_641,plain,
( epred21_0
| epred9_0
| ~ epred23_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_635,c_0_522]) ).
thf(c_0_642,plain,
( epred20_0
| ~ epred18_0
| ~ epred17_0
| ~ epred18_0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_643,plain,
( ( f4 @ $true )
| epred5_0
| epred18_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_636]),c_0_627]) ).
thf(c_0_644,plain,
~ epred5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_638]),c_0_639]) ).
thf(c_0_645,plain,
( epred19_0
| epred9_0
| ~ epred20_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_641]),c_0_577]) ).
thf(c_0_646,plain,
( epred20_0
| ~ epred17_0
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_642]) ).
thf(c_0_647,plain,
( epred18_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_643]),c_0_644]),c_0_627]) ).
thf(c_0_648,plain,
( epred9_0
| epred19_0
| ~ epred6_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_483]) ).
thf(c_0_649,plain,
( epred9_0
| epred19_0
| ~ epred6_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_487]) ).
thf(c_0_650,plain,
( epred20_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_646,c_0_647]),c_0_454]) ).
thf(c_0_651,plain,
( epred19_0
| epred9_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_519]),c_0_649]) ).
thf(c_0_652,plain,
( epred20_0
| ~ epred19_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_617]),c_0_644]) ).
thf(c_0_653,plain,
( epred23_0
| epred10_0
| ~ ( f2 @ $true )
| ~ epred8_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_354]) ).
thf(c_0_654,plain,
( epred9_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_651,c_0_631]) ).
thf(c_0_655,plain,
~ epred19_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_652]),c_0_632]) ).
thf(c_0_656,plain,
( epred23_0
| epred10_0
| ~ epred8_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_383]),c_0_653]) ).
thf(c_0_657,plain,
epred6_0,
inference(sr,[status(thm)],[c_0_561,c_0_644]) ).
thf(c_0_658,plain,
epred9_0,
inference(sr,[status(thm)],[c_0_654,c_0_655]) ).
thf(c_0_659,plain,
( epred3_0
| epred20_0
| ~ ( f4 @ $true )
| ~ epred18_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_167]) ).
thf(c_0_660,plain,
( epred23_0
| epred7_0
| ~ ( f2 @ $true )
| ~ epred9_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_354]) ).
thf(c_0_661,plain,
( epred21_0
| epred10_0
| epred23_0
| ~ epred8_0
| ~ epred20_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_420]) ).
thf(c_0_662,plain,
epred8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_657])]) ).
thf(c_0_663,plain,
~ epred10_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_658])]),c_0_644]) ).
thf(c_0_664,plain,
~ epred23_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_658])]) ).
thf(c_0_665,plain,
( epred3_0
| epred20_0
| ~ epred18_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_203]),c_0_659]) ).
thf(c_0_666,plain,
( epred23_0
| epred7_0
| ~ epred9_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_383]),c_0_660]) ).
thf(c_0_667,plain,
( ( f2 @ ~ $true )
| ( f2 @ $true )
| epred22_0
| epred7_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_137]),c_0_628]) ).
thf(c_0_668,plain,
( epred21_0
| ~ epred20_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_661,c_0_662])]),c_0_663]),c_0_664]) ).
thf(c_0_669,plain,
( epred4_0
| epred20_0
| ~ ( f4 @ ~ $true )
| ~ epred17_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_165]) ).
thf(c_0_670,plain,
( epred20_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
thf(c_0_671,plain,
( epred17_0
| epred20_0
| epred3_0
| ~ epred6_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_665,c_0_453]) ).
thf(c_0_672,plain,
( epred7_0
| ~ epred22_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_666,c_0_658])]),c_0_664]) ).
thf(c_0_673,plain,
( epred7_0
| epred22_0
| ~ epred20_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_667]),c_0_356]) ).
thf(c_0_674,plain,
( epred24_0
| ~ epred20_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_668]),c_0_664]) ).
thf(c_0_675,plain,
( ~ epred4_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_613]) ).
thf(c_0_676,plain,
( epred4_0
| epred20_0
| ~ epred17_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_200]),c_0_669]) ).
thf(c_0_677,plain,
( epred5_0
| epred20_0
| ~ ( f4 @ $true )
| ~ ( f4 @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_670,c_0_578]) ).
thf(c_0_678,plain,
( epred15_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_475,c_0_198]) ).
thf(c_0_679,plain,
( epred3_0
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_671,c_0_657])]),c_0_567]),c_0_650]) ).
thf(c_0_680,plain,
( epred7_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_674]) ).
thf(c_0_681,plain,
( epred20_0
| ~ epred15_0
| ~ epred17_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_675,c_0_676]) ).
thf(c_0_682,plain,
( epred17_0
| epred20_0
| epred5_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_402]),c_0_434]) ).
thf(c_0_683,plain,
( epred20_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_678,c_0_679]) ).
thf(c_0_684,plain,
~ epred20_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_680]),c_0_644]) ).
thf(c_0_685,plain,
( epred5_0
| epred20_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_682]),c_0_561]) ).
thf(c_0_686,plain,
epred15_0,
inference(sr,[status(thm)],[c_0_683,c_0_684]) ).
thf(c_0_687,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_685,c_0_686])]),c_0_644]),c_0_684]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO500^1.007 : TPTP v8.2.0. Released v4.1.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 10:10:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/eprover-ho --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
% 3.11/300.06 # Version: 3.1.0-ho
% 3.11/300.06 # Preprocessing class: HSMSSMSSSSSNFFN.
% 3.11/300.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.11/300.06 # Starting new_ho_10 with 1500s (5) cores
% 3.11/300.06 # Starting new_bool_1 with 300s (1) cores
% 3.11/300.06 # Starting full_lambda_5 with 300s (1) cores
% 3.11/300.06 # Starting new_ho_10_unif with 300s (1) cores
% 3.11/300.06 # new_bool_1 with pid 10328 completed with status 0
% 3.11/300.06 # Result found by new_bool_1
% 3.11/300.06 # Preprocessing class: HSMSSMSSSSSNFFN.
% 3.11/300.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.11/300.06 # Starting new_ho_10 with 1500s (5) cores
% 3.11/300.06 # Starting new_bool_1 with 300s (1) cores
% 3.11/300.06 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.11/300.06 # Search class: HGHNF-FSLM00-SFFFFFNN
% 3.11/300.06 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.11/300.06 # Starting new_ho_10 with 181s (1) cores
% 3.11/300.06 # new_ho_10 with pid 10332 completed with status 0
% 3.11/300.06 # Result found by new_ho_10
% 3.11/300.06 # Preprocessing class: HSMSSMSSSSSNFFN.
% 3.11/300.06 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.11/300.06 # Starting new_ho_10 with 1500s (5) cores
% 3.11/300.06 # Starting new_bool_1 with 300s (1) cores
% 3.11/300.06 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.11/300.06 # Search class: HGHNF-FSLM00-SFFFFFNN
% 3.11/300.06 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 3.11/300.06 # Starting new_ho_10 with 181s (1) cores
% 3.11/300.06 # Preprocessing time : 0.003 s
% 3.11/300.06 # Presaturation interreduction done
% 3.11/300.06
% 3.11/300.06 # Proof found!
% 3.11/300.06 # SZS status Theorem
% 3.11/300.06 # SZS output start CNFRefutation
% See solution above
% 3.11/300.07 # Parsed axioms : 9
% 3.11/300.07 # Removed by relevancy pruning/SinE : 8
% 3.11/300.07 # Initial clauses : 774
% 3.11/300.07 # Removed in clause preprocessing : 268
% 3.11/300.07 # Initial clauses in saturation : 506
% 3.11/300.07 # Processed clauses : 2354
% 3.11/300.07 # ...of these trivial : 1
% 3.11/300.07 # ...subsumed : 1122
% 3.11/300.07 # ...remaining for further processing : 1231
% 3.11/300.07 # Other redundant clauses eliminated : 0
% 3.11/300.07 # Clauses deleted for lack of memory : 0
% 3.11/300.07 # Backward-subsumed : 583
% 3.11/300.07 # Backward-rewritten : 194
% 3.11/300.07 # Generated clauses : 5928
% 3.11/300.07 # ...of the previous two non-redundant : 3225
% 3.11/300.07 # ...aggressively subsumed : 0
% 3.11/300.07 # Contextual simplify-reflections : 350
% 3.11/300.07 # Paramodulations : 5914
% 3.11/300.07 # Factorizations : 0
% 3.11/300.07 # NegExts : 0
% 3.11/300.07 # Equation resolutions : 0
% 3.11/300.07 # Disequality decompositions : 0
% 3.11/300.07 # Total rewrite steps : 163
% 3.11/300.07 # ...of those cached : 157
% 3.11/300.07 # Propositional unsat checks : 0
% 3.11/300.07 # Propositional check models : 0
% 3.11/300.07 # Propositional check unsatisfiable : 0
% 3.11/300.07 # Propositional clauses : 0
% 3.11/300.07 # Propositional clauses after purity: 0
% 3.11/300.07 # Propositional unsat core size : 0
% 3.11/300.07 # Propositional preprocessing time : 0.000
% 3.11/300.07 # Propositional encoding time : 0.000
% 3.11/300.07 # Propositional solver time : 0.000
% 3.11/300.07 # Success case prop preproc time : 0.000
% 3.11/300.07 # Success case prop encoding time : 0.000
% 3.11/300.07 # Success case prop solver time : 0.000
% 3.11/300.07 # Current number of processed clauses : 206
% 3.11/300.07 # Positive orientable unit clauses : 6
% 3.11/300.07 # Positive unorientable unit clauses: 0
% 3.11/300.07 # Negative unit clauses : 6
% 3.11/300.07 # Non-unit-clauses : 194
% 3.11/300.07 # Current number of unprocessed clauses: 1201
% 3.11/300.07 # ...number of literals in the above : 7164
% 3.11/300.07 # Current number of archived formulas : 0
% 3.11/300.07 # Current number of archived clauses : 1025
% 3.11/300.07 # Clause-clause subsumption calls (NU) : 238213
% 3.11/300.07 # Rec. Clause-clause subsumption calls : 67961
% 3.11/300.07 # Non-unit clause-clause subsumptions : 1955
% 3.11/300.07 # Unit Clause-clause subsumption calls : 2972
% 3.11/300.07 # Rewrite failures with RHS unbound : 0
% 3.11/300.07 # BW rewrite match attempts : 6
% 3.11/300.07 # BW rewrite match successes : 6
% 3.11/300.07 # Condensation attempts : 2354
% 3.11/300.07 # Condensation successes : 0
% 3.11/300.07 # Termbank termtop insertions : 615208
% 3.11/300.07 # Search garbage collected termcells : 4463
% 3.11/300.07
% 3.11/300.07 # -------------------------------------------------
% 3.11/300.07 # User time : 0.349 s
% 3.11/300.07 # System time : 0.014 s
% 3.11/300.07 # Total time : 0.363 s
% 3.11/300.07 # Maximum resident set size: 5032 pages
% 3.11/300.07
% 3.11/300.07 # -------------------------------------------------
% 3.11/300.07 # User time : 0.351 s
% 3.11/300.07 # System time : 0.024 s
% 3.11/300.07 # Total time : 0.374 s
% 3.11/300.07 # Maximum resident set size: 4944 pages
% 3.11/300.07 % E---3.1 exiting
% 3.11/300.07 % E exiting
%------------------------------------------------------------------------------