%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO500^1.006 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 08:46:27 EDT 2024
% Result : Theorem 1.25s 0.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 52
% Syntax : Number of formulae : 548 ( 8 unt; 29 typ; 0 def)
% Number of atoms : 74731 ( 0 equ; 0 cnn)
% Maximal formula atoms : 20477 ( 143 avg)
% Number of connectives : 97259 (23047 ~;30721 |;14297 &;29152 @)
% ( 42 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 25 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,
epred1_0: $o ).
thf(decl_30,type,
epred2_0: $o ).
thf(decl_31,type,
epred3_0: $o ).
thf(decl_32,type,
epred4_0: $o ).
thf(decl_33,type,
epred5_0: $o ).
thf(decl_34,type,
epred6_0: $o ).
thf(decl_35,type,
epred7_0: $o ).
thf(decl_36,type,
epred8_0: $o ).
thf(decl_37,type,
epred9_0: $o ).
thf(decl_38,type,
epred10_0: $o ).
thf(decl_39,type,
epred11_0: $o ).
thf(decl_40,type,
epred12_0: $o ).
thf(decl_41,type,
epred13_0: $o ).
thf(decl_42,type,
epred14_0: $o ).
thf(decl_43,type,
epred15_0: $o ).
thf(decl_44,type,
epred16_0: $o ).
thf(decl_45,type,
epred17_0: $o ).
thf(decl_46,type,
epred18_0: $o ).
thf(decl_47,type,
epred19_0: $o ).
thf(decl_48,type,
epred20_0: $o ).
thf(decl_49,type,
epred21_0: $o ).
thf(decl_50,type,
epred22_0: $o ).
thf(kaminski6,conjecture,
( ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ ( f3 @ ( f4 @ ( f4 @ ( f4 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) )
<=> ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ ( f3 @ ( f3 @ ( f3 @ ( f4 @ ( f5 @ ( f5 @ ( f5 @ x ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kaminski6) ).
thf(c_0_1,plain,
( epred11_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
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| ( f1 @ $false ) ) )
| ( f0 @ $false ) ) )
| ( f0 @ $false ) ) )
| ( f0 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
( epred9_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
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introduced(definition) ).
thf(c_0_3,plain,
( epred10_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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introduced(definition) ).
thf(c_0_4,plain,
( epred22_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ~ x
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& ( ( ( ~ x
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ~ x
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& ( x
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f0 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_5,plain,
( epred20_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ~ ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f5 @ $false ) ) )
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& ( ( ( ( ( ~ x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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introduced(definition) ).
thf(c_0_6,plain,
( epred21_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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& ( x
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| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
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& ( x
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
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& ( x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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& ( ( ( ( ( ~ x
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| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ~ x
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_7,plain,
( epred11_0
<=> ( ( ( ( epred9_0
| ~ ( f0 @ $true ) )
& ( epred10_0
| ~ ( f0 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( epred9_0
| ( f0 @ $true ) )
& ( epred10_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_1,c_0_2]),c_0_3]),c_0_2]),c_0_3]) ).
thf(c_0_8,plain,
( epred13_0
<=> ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_9,plain,
( epred22_0
<=> ( ( ( ( epred20_0
| ~ ( f1 @ $true ) )
& ( epred21_0
| ~ ( f1 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( epred20_0
| ( f1 @ $true ) )
& ( epred21_0
| ( f1 @ $false ) ) )
| ( f0 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_5]),c_0_6]) ).
thf(c_0_10,plain,
( ( epred9_0
| ~ ( f0 @ $true )
| ( f0 @ $true )
| ~ epred11_0 )
& ( epred10_0
| ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ epred11_0 )
& ( epred9_0
| ( f0 @ $true )
| ( f0 @ $false )
| ~ epred11_0 )
& ( epred10_0
| ( f0 @ $false )
| ( f0 @ $false )
| ~ epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred10_0
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ( f0 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ( f0 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ ( f0 @ $false )
| ( f0 @ $false )
| ~ epred9_0
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ~ epred10_0
| ( f0 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ~ epred10_0
| ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred10_0
| ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred10_0
| ( f0 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ( f0 @ $false )
| ( f0 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ~ ( f0 @ $true )
| epred11_0 )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| epred11_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| epred11_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
thf(c_0_11,negated_conjecture,
~ ( epred11_0
<=> epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski6])]),c_0_1]),c_0_4]) ).
thf(c_0_12,plain,
( epred18_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
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introduced(definition) ).
thf(c_0_13,plain,
( epred19_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ( ( ~ x
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| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_14,plain,
( epred4_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_15,plain,
( epred1_0
<=> ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_16,plain,
( epred2_0
<=> ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_17,plain,
( epred14_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_18,plain,
( epred12_0
<=> ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_19,plain,
( ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $true )
| ~ epred13_0 )
& ( x
| ~ ( f5 @ $false )
| ( f5 @ $true )
| ~ epred13_0 )
& ( ~ x
| ( f5 @ $true )
| ( f5 @ $false )
| ~ epred13_0 )
& ( x
| ( f5 @ $false )
| ( f5 @ $false )
| ~ epred13_0 )
& ( ~ x
| x
| ~ x
| x
| epred13_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| x
| epred13_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| x
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| x
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ x
| x
| epred13_0 )
& ( ~ x
| x
| ( f5 @ $false )
| x
| epred13_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| x
| epred13_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred13_0 )
& ( ~ ( f5 @ $false )
| ( f5 @ $false )
| x
| epred13_0 )
& ( ~ x
| x
| ~ x
| ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| ( f5 @ $true )
| epred13_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ x
| ( f5 @ $true )
| epred13_0 )
& ( ~ x
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred13_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred13_0 )
& ( ~ x
| x
| ~ ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| x
| ~ ( f5 @ $true )
| epred13_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| epred13_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| epred13_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
thf(c_0_20,plain,
( epred7_0
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& ( x
| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
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& ( ( ( ~ x
| ( f5 @ $true ) )
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& ( ( ( ( ( ~ x
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& ( ( ( ~ x
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| ( f5 @ $false ) ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_21,plain,
( epred8_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
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| ( f4 @ $false ) ) )
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| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
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& ( x
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| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
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& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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& ( ( ( ~ x
| ( f5 @ $true ) )
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& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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& ( ( ( ~ x
| ( f5 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
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& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
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| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
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| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $true ) )
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& ( ( ( ( ( ( ( ~ x
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| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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| ( f4 @ $false ) ) )
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& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ~ ( f5 @ $false ) ) )
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& ( ( ( ~ x
| ( f5 @ $true ) )
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| ( f5 @ $false ) ) )
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& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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| ~ ( f5 @ $true ) )
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| ( f5 @ $true ) )
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& ( ( ( ( ( ( ( ( ( ( ( ~ x
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| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_22,plain,
( ( epred20_0
| ~ ( f1 @ $true )
| ( f0 @ $true )
| ~ epred22_0 )
& ( epred21_0
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ epred22_0 )
& ( epred20_0
| ( f1 @ $true )
| ( f0 @ $false )
| ~ epred22_0 )
& ( epred21_0
| ( f1 @ $false )
| ( f0 @ $false )
| ~ epred22_0 )
& ( ~ epred21_0
| ~ epred20_0
| ~ epred21_0
| ~ epred20_0
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ epred20_0
| ~ epred21_0
| ~ epred20_0
| epred22_0 )
& ( ~ epred21_0
| ~ ( f1 @ $true )
| ~ epred21_0
| ~ epred20_0
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred21_0
| ~ epred20_0
| epred22_0 )
& ( ~ ( f0 @ $false )
| ~ epred21_0
| ~ epred20_0
| epred22_0 )
& ( ~ epred21_0
| ~ epred20_0
| ( f1 @ $false )
| ~ epred20_0
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ epred20_0
| ( f1 @ $false )
| ~ epred20_0
| epred22_0 )
& ( ~ epred21_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred20_0
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred20_0
| epred22_0 )
& ( ~ ( f0 @ $false )
| ( f1 @ $false )
| ~ epred20_0
| epred22_0 )
& ( ~ epred21_0
| ~ epred20_0
| ~ epred21_0
| ( f1 @ $true )
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ epred20_0
| ~ epred21_0
| ( f1 @ $true )
| epred22_0 )
& ( ~ epred21_0
| ~ ( f1 @ $true )
| ~ epred21_0
| ( f1 @ $true )
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred21_0
| ( f1 @ $true )
| epred22_0 )
& ( ~ ( f0 @ $false )
| ~ epred21_0
| ( f1 @ $true )
| epred22_0 )
& ( ~ epred21_0
| ~ epred20_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ epred20_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred22_0 )
& ( ~ epred21_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred22_0 )
& ( ~ ( f0 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred22_0 )
& ( ~ epred21_0
| ~ epred20_0
| ~ ( f0 @ $true )
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ epred20_0
| ~ ( f0 @ $true )
| epred22_0 )
& ( ~ epred21_0
| ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| epred22_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| epred22_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| epred22_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
thf(c_0_23,plain,
( epred10_0
| ( f0 @ ~ $true )
| ( f0 @ ~ $true )
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_24,negated_conjecture,
( ( ~ epred11_0
| ~ epred22_0 )
& ( epred11_0
| epred22_0 ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
thf(c_0_25,plain,
( epred21_0
<=> ( ( ( ( epred18_0
| ~ ( f1 @ $true ) )
& ( epred19_0
| ~ ( f1 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( epred18_0
| ( f1 @ $true ) )
& ( epred19_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_6,c_0_12]),c_0_13]),c_0_12]),c_0_13]) ).
thf(c_0_26,plain,
( epred4_0
<=> ( ( ( ( epred1_0
| ~ ( f4 @ $true ) )
& ( epred2_0
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( epred1_0
| ( f4 @ $true ) )
& ( epred2_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_14,c_0_15]),c_0_16]),c_0_15]),c_0_16]) ).
thf(c_0_27,plain,
( ( ~ x
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| ~ epred1_0 )
& ( x
| ~ ( f5 @ $false )
| ~ ( f4 @ $true )
| ~ epred1_0 )
& ( ~ x
| ( f5 @ $true )
| ~ ( f4 @ $false )
| ~ epred1_0 )
& ( x
| ( f5 @ $false )
| ~ ( f4 @ $false )
| ~ epred1_0 )
& ( ~ x
| x
| ~ x
| x
| epred1_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| x
| epred1_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| x
| epred1_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| x
| epred1_0 )
& ( ( f4 @ $false )
| ~ x
| x
| epred1_0 )
& ( ~ x
| x
| ( f5 @ $false )
| x
| epred1_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| x
| epred1_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred1_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred1_0 )
& ( ( f4 @ $false )
| ( f5 @ $false )
| x
| epred1_0 )
& ( ~ x
| x
| ~ x
| ( f5 @ $true )
| epred1_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| ( f5 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred1_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred1_0 )
& ( ( f4 @ $false )
| ~ x
| ( f5 @ $true )
| epred1_0 )
& ( ~ x
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred1_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred1_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred1_0 )
& ( ( f4 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred1_0 )
& ( ~ x
| x
| ( f4 @ $true )
| epred1_0 )
& ( ~ ( f5 @ $false )
| x
| ( f4 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f4 @ $true )
| epred1_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f4 @ $true )
| epred1_0 )
& ( ( f4 @ $false )
| ( f4 @ $true )
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
thf(c_0_28,plain,
( ( ~ x
| ~ ( f5 @ $true )
| ( f4 @ $true )
| ~ epred2_0 )
& ( x
| ~ ( f5 @ $false )
| ( f4 @ $true )
| ~ epred2_0 )
& ( ~ x
| ( f5 @ $true )
| ( f4 @ $false )
| ~ epred2_0 )
& ( x
| ( f5 @ $false )
| ( f4 @ $false )
| ~ epred2_0 )
& ( ~ x
| x
| ~ x
| x
| epred2_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| x
| epred2_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| x
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| x
| epred2_0 )
& ( ~ ( f4 @ $false )
| ~ x
| x
| epred2_0 )
& ( ~ x
| x
| ( f5 @ $false )
| x
| epred2_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| x
| epred2_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred2_0 )
& ( ~ ( f4 @ $false )
| ( f5 @ $false )
| x
| epred2_0 )
& ( ~ x
| x
| ~ x
| ( f5 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| ( f5 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred2_0 )
& ( ~ ( f4 @ $false )
| ~ x
| ( f5 @ $true )
| epred2_0 )
& ( ~ x
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred2_0 )
& ( ~ ( f4 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred2_0 )
& ( ~ x
| x
| ~ ( f4 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| x
| ~ ( f4 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| epred2_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| epred2_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
thf(c_0_29,plain,
( epred14_0
<=> ( ( ( ( epred12_0
| ~ ( f5 @ $true ) )
& ( epred13_0
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( epred12_0
| ( f5 @ $true ) )
& ( epred13_0
| ( f5 @ $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_17,c_0_18]),c_0_8]),c_0_18]),c_0_8]) ).
thf(c_0_30,plain,
( x
| ( f5 @ ~ $true )
| ( f5 @ ~ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_31,plain,
( epred15_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_32,plain,
( ( ~ x
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| ~ epred12_0 )
& ( x
| ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred12_0 )
& ( ~ x
| ( f5 @ $true )
| ~ ( f5 @ $false )
| ~ epred12_0 )
& ( x
| ( f5 @ $false )
| ~ ( f5 @ $false )
| ~ epred12_0 )
& ( ~ x
| x
| ~ x
| x
| epred12_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| x
| epred12_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| x
| epred12_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| x
| epred12_0 )
& ( ( f5 @ $false )
| ~ x
| x
| epred12_0 )
& ( ~ x
| x
| ( f5 @ $false )
| x
| epred12_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| x
| epred12_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred12_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| x
| epred12_0 )
& ( ( f5 @ $false )
| ( f5 @ $false )
| x
| epred12_0 )
& ( ~ x
| x
| ~ x
| ( f5 @ $true )
| epred12_0 )
& ( ~ ( f5 @ $false )
| x
| ~ x
| ( f5 @ $true )
| epred12_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred12_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ x
| ( f5 @ $true )
| epred12_0 )
& ( ( f5 @ $false )
| ~ x
| ( f5 @ $true )
| epred12_0 )
& ( ~ x
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred12_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $false )
| ( f5 @ $true )
| epred12_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred12_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred12_0 )
& ( ( f5 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred12_0 )
& ( ~ x
| x
| ( f5 @ $true )
| epred12_0 )
& ( ~ ( f5 @ $false )
| x
| ( f5 @ $true )
| epred12_0 )
& ( ~ x
| ~ ( f5 @ $true )
| ( f5 @ $true )
| epred12_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $true )
| epred12_0 )
& ( ( f5 @ $false )
| ( f5 @ $true )
| epred12_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
thf(c_0_33,plain,
( epred20_0
<=> ( ( ( ( epred18_0
| ~ ( f1 @ $true ) )
& ( epred19_0
| ~ ( f1 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( epred18_0
| ( f1 @ $true ) )
& ( epred19_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_5,c_0_12]),c_0_13]),c_0_12]),c_0_13]) ).
thf(c_0_34,plain,
( epred10_0
<=> ( ( ( ( epred7_0
| ~ ( f1 @ $true ) )
& ( epred8_0
| ~ ( f1 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( epred7_0
| ( f1 @ $true ) )
& ( epred8_0
| ( f1 @ $false ) ) )
| ( f0 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_20]),c_0_21]),c_0_20]),c_0_21]) ).
thf(c_0_35,plain,
( epred22_0
| ~ ( f0 @ ~ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_36,plain,
( epred10_0
| ( f0 @ ~ $true )
| ~ epred11_0 ),
inference(cn,[status(thm)],[c_0_23]) ).
thf(c_0_37,negated_conjecture,
( epred11_0
| epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_38,plain,
( epred10_0
| ( f0 @ $true )
| ~ ( f0 @ ~ $true )
| ~ epred11_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_39,plain,
( ( epred18_0
| ~ ( f1 @ $true )
| ( f1 @ $true )
| ~ epred21_0 )
& ( epred19_0
| ~ ( f1 @ $false )
| ( f1 @ $true )
| ~ epred21_0 )
& ( epred18_0
| ( f1 @ $true )
| ( f1 @ $false )
| ~ epred21_0 )
& ( epred19_0
| ( f1 @ $false )
| ( f1 @ $false )
| ~ epred21_0 )
& ( ~ epred19_0
| ~ epred18_0
| ~ epred19_0
| ~ epred18_0
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ~ epred19_0
| ~ epred18_0
| epred21_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ~ epred19_0
| ~ epred18_0
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred19_0
| ~ epred18_0
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ epred19_0
| ~ epred18_0
| epred21_0 )
& ( ~ epred19_0
| ~ epred18_0
| ( f1 @ $false )
| ~ epred18_0
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ( f1 @ $false )
| ~ epred18_0
| epred21_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred18_0
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred18_0
| epred21_0 )
& ( ~ ( f1 @ $false )
| ( f1 @ $false )
| ~ epred18_0
| epred21_0 )
& ( ~ epred19_0
| ~ epred18_0
| ~ epred19_0
| ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ~ epred19_0
| ( f1 @ $true )
| epred21_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ~ epred19_0
| ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred19_0
| ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ epred19_0
| ( f1 @ $true )
| epred21_0 )
& ( ~ epred19_0
| ~ epred18_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred21_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred21_0 )
& ( ~ epred19_0
| ~ epred18_0
| ~ ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ~ ( f1 @ $true )
| epred21_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| epred21_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| epred21_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
thf(c_0_40,plain,
( epred3_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_41,plain,
( ( epred1_0
| ~ ( f4 @ $true )
| ( f4 @ $true )
| ~ epred4_0 )
& ( epred2_0
| ~ ( f4 @ $false )
| ( f4 @ $true )
| ~ epred4_0 )
& ( epred1_0
| ( f4 @ $true )
| ( f4 @ $false )
| ~ epred4_0 )
& ( epred2_0
| ( f4 @ $false )
| ( f4 @ $false )
| ~ epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f4 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ( f4 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f4 @ $false )
| ( f4 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ~ epred2_0
| ( f4 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ~ epred2_0
| ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred2_0
| ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ epred2_0
| ( f4 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ~ ( f4 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| epred4_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
thf(c_0_42,plain,
( ( f4 @ $true )
| epred1_0
| ~ x
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_43,plain,
( ( f5 @ $true )
| epred2_0
| ~ ( f4 @ ~ $true )
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_44,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_45,plain,
( ( epred12_0
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| ~ epred14_0 )
& ( epred13_0
| ~ ( f5 @ $false )
| ~ ( f4 @ $true )
| ~ epred14_0 )
& ( epred12_0
| ( f5 @ $true )
| ~ ( f4 @ $false )
| ~ epred14_0 )
& ( epred13_0
| ( f5 @ $false )
| ~ ( f4 @ $false )
| ~ epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ( f4 @ $false )
| ~ epred13_0
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ( f5 @ $false )
| ~ epred12_0
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ( f5 @ $false )
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred12_0
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred12_0
| epred14_0 )
& ( ( f4 @ $false )
| ( f5 @ $false )
| ~ epred12_0
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| ( f5 @ $true )
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ~ epred13_0
| ( f5 @ $true )
| epred14_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ~ epred13_0
| ( f5 @ $true )
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred13_0
| ( f5 @ $true )
| epred14_0 )
& ( ( f4 @ $false )
| ~ epred13_0
| ( f5 @ $true )
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred14_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred14_0 )
& ( ( f4 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred14_0 )
& ( ~ epred13_0
| ~ epred12_0
| ( f4 @ $true )
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ( f4 @ $true )
| epred14_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ( f4 @ $true )
| epred14_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f4 @ $true )
| epred14_0 )
& ( ( f4 @ $false )
| ( f4 @ $true )
| epred14_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
thf(c_0_46,plain,
( x
| ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_47,plain,
( x
| ( f5 @ ~ $true )
| ~ epred13_0 ),
inference(cn,[status(thm)],[c_0_30]) ).
thf(c_0_48,plain,
( epred15_0
<=> ( ( ( ( epred12_0
| ~ ( f5 @ $true ) )
& ( epred13_0
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( epred12_0
| ( f5 @ $true ) )
& ( epred13_0
| ( f5 @ $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_31,c_0_18]),c_0_8]),c_0_18]),c_0_8]) ).
thf(c_0_49,plain,
( ( f5 @ ~ $true )
| ( f5 @ ~ $true )
| x
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_50,plain,
( epred17_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f3 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_51,plain,
( epred5_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_52,plain,
( epred6_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_53,plain,
( epred11_0
| ~ epred10_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_54,plain,
( epred9_0
<=> ( ( ( ( epred7_0
| ~ ( f1 @ $true ) )
& ( epred8_0
| ~ ( f1 @ $false ) ) )
| ~ ( f0 @ $true ) )
& ( ( ( epred7_0
| ( f1 @ $true ) )
& ( epred8_0
| ( f1 @ $false ) ) )
| ~ ( f0 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,c_0_20]),c_0_21]),c_0_20]),c_0_21]) ).
thf(c_0_55,plain,
( ( epred18_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| ~ epred20_0 )
& ( epred19_0
| ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred20_0 )
& ( epred18_0
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ epred20_0 )
& ( epred19_0
| ( f1 @ $false )
| ~ ( f1 @ $false )
| ~ epred20_0 )
& ( ~ epred19_0
| ~ epred18_0
| ~ epred19_0
| ~ epred18_0
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ~ epred19_0
| ~ epred18_0
| epred20_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ~ epred19_0
| ~ epred18_0
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred19_0
| ~ epred18_0
| epred20_0 )
& ( ( f1 @ $false )
| ~ epred19_0
| ~ epred18_0
| epred20_0 )
& ( ~ epred19_0
| ~ epred18_0
| ( f1 @ $false )
| ~ epred18_0
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ( f1 @ $false )
| ~ epred18_0
| epred20_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred18_0
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred18_0
| epred20_0 )
& ( ( f1 @ $false )
| ( f1 @ $false )
| ~ epred18_0
| epred20_0 )
& ( ~ epred19_0
| ~ epred18_0
| ~ epred19_0
| ( f1 @ $true )
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ~ epred19_0
| ( f1 @ $true )
| epred20_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ~ epred19_0
| ( f1 @ $true )
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred19_0
| ( f1 @ $true )
| epred20_0 )
& ( ( f1 @ $false )
| ~ epred19_0
| ( f1 @ $true )
| epred20_0 )
& ( ~ epred19_0
| ~ epred18_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred20_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred20_0 )
& ( ( f1 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred20_0 )
& ( ~ epred19_0
| ~ epred18_0
| ( f1 @ $true )
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ epred18_0
| ( f1 @ $true )
| epred20_0 )
& ( ~ epred19_0
| ~ ( f1 @ $true )
| ( f1 @ $true )
| epred20_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $true )
| epred20_0 )
& ( ( f1 @ $false )
| ( f1 @ $true )
| epred20_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
thf(c_0_56,plain,
( ( epred7_0
| ~ ( f1 @ $true )
| ( f0 @ $true )
| ~ epred10_0 )
& ( epred8_0
| ~ ( f1 @ $false )
| ( f0 @ $true )
| ~ epred10_0 )
& ( epred7_0
| ( f1 @ $true )
| ( f0 @ $false )
| ~ epred10_0 )
& ( epred8_0
| ( f1 @ $false )
| ( f0 @ $false )
| ~ epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f1 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ( f1 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ( f1 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ( f1 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ~ epred8_0
| ( f1 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ~ epred8_0
| ( f1 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred8_0
| ( f1 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred8_0
| ( f1 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ ( f0 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ~ ( f0 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| epred10_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| epred10_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
thf(c_0_57,plain,
( epred10_0
| epred22_0
| ~ ( f0 @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
thf(c_0_58,plain,
( ( f0 @ $true )
| epred10_0
| ~ epred11_0 ),
inference(csr,[status(thm)],[c_0_38,c_0_36]) ).
thf(c_0_59,plain,
( epred19_0
| ( f1 @ ~ $true )
| ( f1 @ ~ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_60,plain,
( epred3_0
<=> ( ( ( ( epred1_0
| ~ ( f4 @ $true ) )
& ( epred2_0
| ~ ( f4 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( epred1_0
| ( f4 @ $true ) )
& ( epred2_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_40,c_0_15]),c_0_16]),c_0_15]),c_0_16]) ).
thf(c_0_61,plain,
( epred2_0
| ( f4 @ ~ $true )
| ( f4 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_62,plain,
( x
| ( f4 @ $true )
| epred1_0
| ~ ( f5 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_63,plain,
( ( f5 @ ~ $true )
| x
| epred2_0
| ~ ( f4 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_64,plain,
( ( f4 @ $true )
| epred2_0
| epred1_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
thf(c_0_65,plain,
( x
| ~ ( f5 @ ~ $true )
| ~ ( f4 @ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_66,plain,
( ( f4 @ $true )
| epred14_0
| ~ epred13_0
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_67,plain,
( ( f5 @ $true )
| x
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_68,plain,
( epred13_0
| ~ x
| ~ ( f5 @ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_69,plain,
( ( epred12_0
| ~ ( f5 @ $true )
| ( f4 @ $true )
| ~ epred15_0 )
& ( epred13_0
| ~ ( f5 @ $false )
| ( f4 @ $true )
| ~ epred15_0 )
& ( epred12_0
| ( f5 @ $true )
| ( f4 @ $false )
| ~ epred15_0 )
& ( epred13_0
| ( f5 @ $false )
| ( f4 @ $false )
| ~ epred15_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ~ epred13_0
| ~ epred12_0
| epred15_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ~ epred13_0
| ~ epred12_0
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred13_0
| ~ epred12_0
| epred15_0 )
& ( ~ ( f4 @ $false )
| ~ epred13_0
| ~ epred12_0
| epred15_0 )
& ( ~ epred13_0
| ~ epred12_0
| ( f5 @ $false )
| ~ epred12_0
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ( f5 @ $false )
| ~ epred12_0
| epred15_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred12_0
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ~ epred12_0
| epred15_0 )
& ( ~ ( f4 @ $false )
| ( f5 @ $false )
| ~ epred12_0
| epred15_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ epred13_0
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ~ epred13_0
| ( f5 @ $true )
| epred15_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ~ epred13_0
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ epred13_0
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f4 @ $false )
| ~ epred13_0
| ( f5 @ $true )
| epred15_0 )
& ( ~ epred13_0
| ~ epred12_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ( f5 @ $false )
| ( f5 @ $true )
| epred15_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ( f5 @ $false )
| ( f5 @ $true )
| epred15_0 )
& ( ~ ( f4 @ $false )
| ( f5 @ $false )
| ( f5 @ $true )
| epred15_0 )
& ( ~ epred13_0
| ~ epred12_0
| ~ ( f4 @ $true )
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ epred12_0
| ~ ( f4 @ $true )
| epred15_0 )
& ( ~ epred13_0
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| epred15_0 )
& ( ~ ( f5 @ $false )
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| epred15_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| epred15_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
thf(c_0_70,plain,
( x
| ( f5 @ $true )
| epred12_0
| ~ ( f5 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_71,plain,
( x
| epred12_0
| ( f5 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_49]) ).
thf(c_0_72,plain,
( epred17_0
<=> ( ( ( ( epred14_0
| ~ ( f3 @ $true ) )
& ( epred15_0
| ~ ( f3 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( epred14_0
| ( f3 @ $true ) )
& ( epred15_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_50,c_0_17]),c_0_31]),c_0_17]),c_0_31]) ).
thf(c_0_73,plain,
( epred8_0
<=> ( ( ( ( epred5_0
| ~ ( f2 @ $true ) )
& ( epred6_0
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( epred5_0
| ( f2 @ $true ) )
& ( epred6_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_21,c_0_51]),c_0_52]),c_0_51]),c_0_52]) ).
thf(c_0_74,plain,
( ( f0 @ $true )
| epred11_0
| ~ ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_75,plain,
( epred11_0
| ~ epred10_0
| ~ ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_53]) ).
thf(c_0_76,plain,
( ( epred7_0
| ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| ~ epred9_0 )
& ( epred8_0
| ~ ( f1 @ $false )
| ~ ( f0 @ $true )
| ~ epred9_0 )
& ( epred7_0
| ( f1 @ $true )
| ~ ( f0 @ $false )
| ~ epred9_0 )
& ( epred8_0
| ( f1 @ $false )
| ~ ( f0 @ $false )
| ~ epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ( f0 @ $false )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f1 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ( f1 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ( f0 @ $false )
| ( f1 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ( f1 @ $true )
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ~ epred8_0
| ( f1 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ~ epred8_0
| ( f1 @ $true )
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred8_0
| ( f1 @ $true )
| epred9_0 )
& ( ( f0 @ $false )
| ~ epred8_0
| ( f1 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred9_0 )
& ( ( f0 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ epred7_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f1 @ $true )
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f0 @ $true )
| epred9_0 )
& ( ( f0 @ $false )
| ( f0 @ $true )
| epred9_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
thf(c_0_77,plain,
( epred11_0
| ~ epred10_0
| ~ epred9_0
| ~ epred10_0
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_78,plain,
( ( f1 @ ~ $true )
| ( f1 @ ~ $true )
| epred20_0
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_79,plain,
( epred22_0
| ~ ( f1 @ ~ $true )
| ~ epred20_0
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_80,plain,
( epred8_0
| ( f0 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_81,plain,
( epred22_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_37]) ).
thf(c_0_82,plain,
( epred19_0
| ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_83,plain,
( epred19_0
| ( f1 @ ~ $true )
| ~ epred21_0 ),
inference(cn,[status(thm)],[c_0_59]) ).
thf(c_0_84,plain,
( epred10_0
| ~ ( f1 @ ~ $true )
| ~ epred7_0
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_85,plain,
( epred21_0
| ( f0 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_86,plain,
( epred7_0
<=> ( ( ( ( epred5_0
| ~ ( f2 @ $true ) )
& ( epred6_0
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( epred5_0
| ( f2 @ $true ) )
& ( epred6_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_20,c_0_51]),c_0_52]),c_0_51]),c_0_52]) ).
thf(c_0_87,plain,
( ( epred1_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| ~ epred3_0 )
& ( epred2_0
| ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred3_0 )
& ( epred1_0
| ( f4 @ $true )
| ~ ( f4 @ $false )
| ~ epred3_0 )
& ( epred2_0
| ( f4 @ $false )
| ~ ( f4 @ $false )
| ~ epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ( f4 @ $false )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f4 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ( f4 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ( f4 @ $false )
| ( f4 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ( f4 @ $true )
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ~ epred2_0
| ( f4 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ~ epred2_0
| ( f4 @ $true )
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ~ epred2_0
| ( f4 @ $true )
| epred3_0 )
& ( ( f4 @ $false )
| ~ epred2_0
| ( f4 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ( f4 @ $false )
| ( f4 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $false )
| ( f4 @ $true )
| epred3_0 )
& ( ( f4 @ $false )
| ( f4 @ $false )
| ( f4 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f4 @ $true )
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ epred1_0
| ( f4 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f4 @ $true )
| ( f4 @ $true )
| epred3_0 )
& ( ~ ( f4 @ $false )
| ~ ( f4 @ $true )
| ( f4 @ $true )
| epred3_0 )
& ( ( f4 @ $false )
| ( f4 @ $true )
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])]) ).
thf(c_0_88,plain,
( epred2_0
| ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_89,plain,
( epred2_0
| ( f4 @ ~ $true )
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_61]) ).
thf(c_0_90,plain,
( epred4_0
| ~ epred2_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_91,plain,
( x
| epred2_0
| ~ ( f5 @ ~ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_92,plain,
( ( f4 @ ~ $true )
| ( f5 @ ~ $true )
| x
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_93,plain,
( ( f4 @ $true )
| epred2_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44]),c_0_64]) ).
thf(c_0_94,plain,
( x
| ~ ( f4 @ $true )
| ~ epred1_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_65,c_0_47]) ).
thf(c_0_95,plain,
( ( f4 @ $true )
| x
| epred14_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_96,plain,
( ( f5 @ $true )
| epred13_0
| ~ ( f5 @ ~ $true )
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_97,plain,
( epred13_0
| ~ x
| ~ ( f5 @ $true ) ),
inference(cn,[status(thm)],[c_0_68]) ).
thf(c_0_98,plain,
( ( f5 @ $true )
| epred15_0
| ~ ( f4 @ ~ $true )
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_99,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_100,plain,
( epred13_0
| ~ ( f5 @ ~ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_101,plain,
( ( f5 @ $true )
| epred12_0
| x ),
inference(csr,[status(thm)],[c_0_70,c_0_71]) ).
thf(c_0_102,plain,
( ~ x
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_103,plain,
( ( f5 @ $true )
| ~ x
| ~ ( f4 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_104,plain,
( epred16_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f4 @ $false ) ) )
| ( f3 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f4 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ~ ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f5 @ $true ) )
& ( x
| ~ ( f5 @ $false ) ) )
| ( f5 @ $true ) )
& ( ( ( ~ x
| ( f5 @ $true ) )
& ( x
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f5 @ $false ) ) )
| ( f4 @ $false ) ) )
| ( f3 @ $false ) ) )
| ~ ( f3 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_105,plain,
( ( epred14_0
| ~ ( f3 @ $true )
| ( f3 @ $true )
| ~ epred17_0 )
& ( epred15_0
| ~ ( f3 @ $false )
| ( f3 @ $true )
| ~ epred17_0 )
& ( epred14_0
| ( f3 @ $true )
| ( f3 @ $false )
| ~ epred17_0 )
& ( epred15_0
| ( f3 @ $false )
| ( f3 @ $false )
| ~ epred17_0 )
& ( ~ epred15_0
| ~ epred14_0
| ~ epred15_0
| ~ epred14_0
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ~ epred15_0
| ~ epred14_0
| epred17_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ~ epred15_0
| ~ epred14_0
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred15_0
| ~ epred14_0
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ epred15_0
| ~ epred14_0
| epred17_0 )
& ( ~ epred15_0
| ~ epred14_0
| ( f3 @ $false )
| ~ epred14_0
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ( f3 @ $false )
| ~ epred14_0
| epred17_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred14_0
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred14_0
| epred17_0 )
& ( ~ ( f3 @ $false )
| ( f3 @ $false )
| ~ epred14_0
| epred17_0 )
& ( ~ epred15_0
| ~ epred14_0
| ~ epred15_0
| ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ~ epred15_0
| ( f3 @ $true )
| epred17_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ~ epred15_0
| ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred15_0
| ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ epred15_0
| ( f3 @ $true )
| epred17_0 )
& ( ~ epred15_0
| ~ epred14_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred17_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ( f3 @ $false )
| ( f3 @ $true )
| epred17_0 )
& ( ~ epred15_0
| ~ epred14_0
| ~ ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ~ ( f3 @ $true )
| epred17_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ~ ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ ( f3 @ $true )
| epred17_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| epred17_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])]) ).
thf(c_0_106,plain,
( ( epred5_0
| ~ ( f2 @ $true )
| ( f2 @ $true )
| ~ epred8_0 )
& ( epred6_0
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ epred8_0 )
& ( epred5_0
| ( f2 @ $true )
| ( f2 @ $false )
| ~ epred8_0 )
& ( epred6_0
| ( f2 @ $false )
| ( f2 @ $false )
| ~ epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred6_0
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f2 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ( f2 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ ( f2 @ $false )
| ( f2 @ $false )
| ~ epred5_0
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ~ epred6_0
| ( f2 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ~ epred6_0
| ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred6_0
| ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred6_0
| ( f2 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ~ ( f2 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).
thf(c_0_107,plain,
( epred11_0
| ~ ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_74,c_0_75]) ).
thf(c_0_108,plain,
( ( f0 @ ~ $true )
| ( f0 @ $true )
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_109,plain,
( epred11_0
| ~ epred9_0
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_77]) ).
thf(c_0_110,plain,
( epred22_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_111,plain,
( ( f1 @ $true )
| epred20_0
| ~ ( f1 @ ~ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_112,plain,
( epred20_0
| ( f1 @ ~ $true )
| ~ epred18_0 ),
inference(cn,[status(thm)],[c_0_78]) ).
thf(c_0_113,plain,
( ( f1 @ ~ $true )
| epred22_0
| ~ ( f0 @ ~ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_114,plain,
( epred8_0
| ( f1 @ ~ $true )
| ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_115,plain,
( epred8_0
| epred22_0
| ~ ( f1 @ ~ $true )
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
thf(c_0_116,plain,
( epred19_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_117,plain,
( ( f1 @ $true )
| epred19_0
| ~ epred21_0 ),
inference(csr,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_118,plain,
( ( f1 @ ~ $true )
| epred10_0
| ~ ( f0 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_119,plain,
( epred21_0
| ( f1 @ ~ $true )
| ( f0 @ ~ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_120,plain,
( epred21_0
| epred10_0
| ~ ( f1 @ ~ $true )
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_81]) ).
thf(c_0_121,plain,
( epred10_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_122,plain,
( epred20_0
| ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_123,plain,
( ( epred5_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| ~ epred7_0 )
& ( epred6_0
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred7_0 )
& ( epred5_0
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ epred7_0 )
& ( epred6_0
| ( f2 @ $false )
| ~ ( f2 @ $false )
| ~ epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ( f2 @ $false )
| ~ epred6_0
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f2 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ( f2 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ( f2 @ $false )
| ( f2 @ $false )
| ~ epred5_0
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ( f2 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ~ epred6_0
| ( f2 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ~ epred6_0
| ( f2 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred6_0
| ( f2 @ $true )
| epred7_0 )
& ( ( f2 @ $false )
| ~ epred6_0
| ( f2 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ( f2 @ $false )
| ( f2 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred7_0 )
& ( ( f2 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f2 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ( f2 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ( f2 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $true )
| epred7_0 )
& ( ( f2 @ $false )
| ( f2 @ $true )
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])]) ).
thf(c_0_124,plain,
( epred6_0
<=> ( ( ( ( epred3_0
| ~ ( f3 @ $true ) )
& ( epred4_0
| ~ ( f3 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( epred3_0
| ( f3 @ $true ) )
& ( epred4_0
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52,c_0_40]),c_0_14]),c_0_40]),c_0_14]) ).
thf(c_0_125,plain,
( epred5_0
<=> ( ( ( ( epred3_0
| ~ ( f3 @ $true ) )
& ( epred4_0
| ~ ( f3 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( epred3_0
| ( f3 @ $true ) )
& ( epred4_0
| ( f3 @ $false ) ) )
| ~ ( f2 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51,c_0_40]),c_0_14]),c_0_40]),c_0_14]) ).
thf(c_0_126,plain,
( ( f4 @ ~ $true )
| ( f4 @ ~ $true )
| epred3_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
thf(c_0_127,plain,
( epred3_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
thf(c_0_128,plain,
( epred2_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_129,plain,
( ( f4 @ $true )
| epred2_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_88,c_0_89]) ).
thf(c_0_130,plain,
( ( f4 @ $true )
| epred4_0
| ~ ( f4 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_131,plain,
( epred4_0
| ~ epred2_0
| ~ ( f4 @ $true ) ),
inference(cn,[status(thm)],[c_0_90]) ).
thf(c_0_132,plain,
( epred4_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_133,plain,
( epred2_0
| ~ x
| ~ ( f5 @ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_134,plain,
( ( f4 @ ~ $true )
| ( f5 @ $true )
| epred1_0
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_135,plain,
( ( f4 @ ~ $true )
| epred1_0
| epred2_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
thf(c_0_136,plain,
( ( f4 @ $true )
| epred14_0
| ~ ( f5 @ ~ $true )
| ~ ( f5 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_137,plain,
( epred14_0
| x
| ~ epred1_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
thf(c_0_138,plain,
( epred13_0
| ~ ( f5 @ ~ $true )
| ~ x ),
inference(csr,[status(thm)],[c_0_96,c_0_97]) ).
thf(c_0_139,plain,
( epred13_0
| ( f5 @ ~ $true )
| ( f4 @ ~ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_140,plain,
( epred15_0
| ~ epred13_0
| ~ ( f5 @ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_141,plain,
( ( f4 @ ~ $true )
| ( f5 @ $true )
| epred14_0
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_142,plain,
( ( f4 @ $true )
| epred15_0
| epred14_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_98]),c_0_99]) ).
thf(c_0_143,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_144,plain,
( epred12_0
| x
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_71]),c_0_101]) ).
thf(c_0_145,plain,
( x
| ( f5 @ ~ $true )
| ~ ( f4 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_146,plain,
( ~ ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ x
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
thf(c_0_147,plain,
( epred18_0
<=> ( ( ( ( epred16_0
| ~ ( f3 @ $true ) )
& ( epred17_0
| ~ ( f3 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( epred16_0
| ( f3 @ $true ) )
& ( epred17_0
| ( f3 @ $false ) ) )
| ~ ( f2 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_104]),c_0_50]),c_0_104]),c_0_50]) ).
thf(c_0_148,plain,
( epred19_0
<=> ( ( ( ( epred16_0
| ~ ( f3 @ $true ) )
& ( epred17_0
| ~ ( f3 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( epred16_0
| ( f3 @ $true ) )
& ( epred17_0
| ( f3 @ $false ) ) )
| ( f2 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13,c_0_104]),c_0_50]),c_0_104]),c_0_50]) ).
thf(c_0_149,plain,
( epred16_0
<=> ( ( ( ( epred14_0
| ~ ( f3 @ $true ) )
& ( epred15_0
| ~ ( f3 @ $false ) ) )
| ~ ( f3 @ $true ) )
& ( ( ( epred14_0
| ( f3 @ $true ) )
& ( epred15_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_104,c_0_17]),c_0_31]),c_0_17]),c_0_31]) ).
thf(c_0_150,plain,
( epred15_0
| ( f3 @ ~ $true )
| ( f3 @ ~ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
thf(c_0_151,plain,
( epred6_0
| ( f2 @ ~ $true )
| ( f2 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
thf(c_0_152,negated_conjecture,
( ~ epred11_0
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_153,plain,
( epred11_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_75]) ).
thf(c_0_154,plain,
( epred8_0
| epred22_0
| ~ ( f1 @ $true )
| ~ ( f1 @ ~ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_80]),c_0_81]) ).
thf(c_0_155,plain,
( ( f1 @ $true )
| epred20_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[c_0_111,c_0_112]) ).
thf(c_0_156,plain,
( epred8_0
| epred22_0
| ~ epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_81]),c_0_115]) ).
thf(c_0_157,plain,
( epred19_0
| ~ epred20_0
| ~ epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_83]),c_0_117]) ).
thf(c_0_158,plain,
( epred21_0
| epred10_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_81]),c_0_120]) ).
thf(c_0_159,plain,
( epred20_0
| epred10_0
| ~ ( f1 @ $true )
| ~ ( f1 @ ~ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_81]) ).
thf(c_0_160,plain,
( ( f2 @ ~ $true )
| ( f2 @ ~ $true )
| epred7_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
thf(c_0_161,plain,
( ( epred3_0
| ~ ( f3 @ $true )
| ( f2 @ $true )
| ~ epred6_0 )
& ( epred4_0
| ~ ( f3 @ $false )
| ( f2 @ $true )
| ~ epred6_0 )
& ( epred3_0
| ( f3 @ $true )
| ( f2 @ $false )
| ~ epred6_0 )
& ( epred4_0
| ( f3 @ $false )
| ( f2 @ $false )
| ~ epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ epred4_0
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f3 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ( f3 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ ( f2 @ $false )
| ( f3 @ $false )
| ~ epred3_0
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ( f3 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ~ epred4_0
| ( f3 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ~ epred4_0
| ( f3 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred4_0
| ( f3 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ epred4_0
| ( f3 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ( f3 @ $false )
| ( f3 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ ( f2 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ~ ( f2 @ $true )
| epred6_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| epred6_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| epred6_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])]) ).
thf(c_0_162,plain,
( ( epred3_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| ~ epred5_0 )
& ( epred4_0
| ~ ( f3 @ $false )
| ~ ( f2 @ $true )
| ~ epred5_0 )
& ( epred3_0
| ( f3 @ $true )
| ~ ( f2 @ $false )
| ~ epred5_0 )
& ( epred4_0
| ( f3 @ $false )
| ~ ( f2 @ $false )
| ~ epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ( f2 @ $false )
| ~ epred4_0
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f3 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ( f3 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ( f2 @ $false )
| ( f3 @ $false )
| ~ epred3_0
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ~ epred4_0
| ( f3 @ $true )
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ~ epred4_0
| ( f3 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ~ epred4_0
| ( f3 @ $true )
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred4_0
| ( f3 @ $true )
| epred5_0 )
& ( ( f2 @ $false )
| ~ epred4_0
| ( f3 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred5_0 )
& ( ( f2 @ $false )
| ( f3 @ $false )
| ( f3 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ epred3_0
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ epred3_0
| ( f2 @ $true )
| epred5_0 )
& ( ~ epred4_0
| ~ ( f3 @ $true )
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f2 @ $true )
| epred5_0 )
& ( ( f2 @ $false )
| ( f2 @ $true )
| epred5_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])])]) ).
thf(c_0_163,plain,
( ( f4 @ $true )
| epred3_0
| ~ ( f4 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
thf(c_0_164,plain,
( epred3_0
| ( f4 @ ~ $true )
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_126]) ).
thf(c_0_165,plain,
( epred3_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_127]) ).
thf(c_0_166,plain,
( epred2_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_89]),c_0_129]) ).
thf(c_0_167,plain,
( epred4_0
| ~ ( f4 @ ~ $true )
| ~ epred2_0 ),
inference(csr,[status(thm)],[c_0_130,c_0_131]) ).
thf(c_0_168,plain,
( epred4_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_132]) ).
thf(c_0_169,plain,
( ( f4 @ ~ $true )
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_93]) ).
thf(c_0_170,plain,
( epred15_0
| ~ ( f5 @ ~ $true )
| ~ ( f5 @ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_171,plain,
( x
| ( f4 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_172,plain,
( ( f4 @ $true )
| ~ x
| ~ ( f5 @ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_173,plain,
( ( f5 @ $true )
| ( f4 @ ~ $true )
| ~ x
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_174,plain,
( epred12_0
| x
| ~ ( f4 @ $true )
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_65,c_0_71]) ).
thf(c_0_175,plain,
( ( f4 @ $true )
| epred12_0
| x
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_71]),c_0_101]) ).
thf(c_0_176,plain,
( epred13_0
| ~ ( f4 @ ~ $true )
| ~ x
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_103]) ).
thf(c_0_177,plain,
( ( f4 @ $true )
| epred14_0
| ~ epred13_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_103]),c_0_137]),c_0_99]) ).
thf(c_0_178,plain,
( epred13_0
| ( f4 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_179,plain,
( ( f4 @ ~ $true )
| epred13_0
| ~ x
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
thf(c_0_180,plain,
( epred15_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_181,plain,
( ( f4 @ ~ $true )
| epred14_0
| epred15_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).
thf(c_0_182,plain,
( ( f5 @ $true )
| epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_143]),c_0_144]) ).
thf(c_0_183,plain,
( ~ ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_145]),c_0_146]) ).
thf(c_0_184,plain,
( ~ x
| ~ ( f5 @ $true )
| ~ ( f5 @ $true )
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_185,plain,
( epred13_0
| ~ ( f5 @ ~ $true )
| ~ ( f4 @ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_186,plain,
( epred13_0
| ( f5 @ ~ $true )
| ~ ( f4 @ ~ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_187,plain,
( epred12_0
| ~ ( f5 @ $true )
| ~ ( f4 @ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_188,plain,
( epred12_0
| ( f5 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_189,plain,
( ( epred16_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| ~ epred18_0 )
& ( epred17_0
| ~ ( f3 @ $false )
| ~ ( f2 @ $true )
| ~ epred18_0 )
& ( epred16_0
| ( f3 @ $true )
| ~ ( f2 @ $false )
| ~ epred18_0 )
& ( epred17_0
| ( f3 @ $false )
| ~ ( f2 @ $false )
| ~ epred18_0 )
& ( ~ epred17_0
| ~ epred16_0
| ~ epred17_0
| ~ epred16_0
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ~ epred17_0
| ~ epred16_0
| epred18_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ~ epred17_0
| ~ epred16_0
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred17_0
| ~ epred16_0
| epred18_0 )
& ( ( f2 @ $false )
| ~ epred17_0
| ~ epred16_0
| epred18_0 )
& ( ~ epred17_0
| ~ epred16_0
| ( f3 @ $false )
| ~ epred16_0
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ( f3 @ $false )
| ~ epred16_0
| epred18_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred16_0
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred16_0
| epred18_0 )
& ( ( f2 @ $false )
| ( f3 @ $false )
| ~ epred16_0
| epred18_0 )
& ( ~ epred17_0
| ~ epred16_0
| ~ epred17_0
| ( f3 @ $true )
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ~ epred17_0
| ( f3 @ $true )
| epred18_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ~ epred17_0
| ( f3 @ $true )
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred17_0
| ( f3 @ $true )
| epred18_0 )
& ( ( f2 @ $false )
| ~ epred17_0
| ( f3 @ $true )
| epred18_0 )
& ( ~ epred17_0
| ~ epred16_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred18_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred18_0 )
& ( ( f2 @ $false )
| ( f3 @ $false )
| ( f3 @ $true )
| epred18_0 )
& ( ~ epred17_0
| ~ epred16_0
| ( f2 @ $true )
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ( f2 @ $true )
| epred18_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ( f2 @ $true )
| epred18_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f2 @ $true )
| epred18_0 )
& ( ( f2 @ $false )
| ( f2 @ $true )
| epred18_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_147])])]) ).
thf(c_0_190,plain,
( ( epred16_0
| ~ ( f3 @ $true )
| ( f2 @ $true )
| ~ epred19_0 )
& ( epred17_0
| ~ ( f3 @ $false )
| ( f2 @ $true )
| ~ epred19_0 )
& ( epred16_0
| ( f3 @ $true )
| ( f2 @ $false )
| ~ epred19_0 )
& ( epred17_0
| ( f3 @ $false )
| ( f2 @ $false )
| ~ epred19_0 )
& ( ~ epred17_0
| ~ epred16_0
| ~ epred17_0
| ~ epred16_0
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ~ epred17_0
| ~ epred16_0
| epred19_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ~ epred17_0
| ~ epred16_0
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred17_0
| ~ epred16_0
| epred19_0 )
& ( ~ ( f2 @ $false )
| ~ epred17_0
| ~ epred16_0
| epred19_0 )
& ( ~ epred17_0
| ~ epred16_0
| ( f3 @ $false )
| ~ epred16_0
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ( f3 @ $false )
| ~ epred16_0
| epred19_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred16_0
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred16_0
| epred19_0 )
& ( ~ ( f2 @ $false )
| ( f3 @ $false )
| ~ epred16_0
| epred19_0 )
& ( ~ epred17_0
| ~ epred16_0
| ~ epred17_0
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ~ epred17_0
| ( f3 @ $true )
| epred19_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ~ epred17_0
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred17_0
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f2 @ $false )
| ~ epred17_0
| ( f3 @ $true )
| epred19_0 )
& ( ~ epred17_0
| ~ epred16_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred19_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred19_0 )
& ( ~ ( f2 @ $false )
| ( f3 @ $false )
| ( f3 @ $true )
| epred19_0 )
& ( ~ epred17_0
| ~ epred16_0
| ~ ( f2 @ $true )
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ epred16_0
| ~ ( f2 @ $true )
| epred19_0 )
& ( ~ epred17_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| epred19_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| epred19_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| epred19_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])]) ).
thf(c_0_191,plain,
( ( epred14_0
| ~ ( f3 @ $true )
| ~ ( f3 @ $true )
| ~ epred16_0 )
& ( epred15_0
| ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred16_0 )
& ( epred14_0
| ( f3 @ $true )
| ~ ( f3 @ $false )
| ~ epred16_0 )
& ( epred15_0
| ( f3 @ $false )
| ~ ( f3 @ $false )
| ~ epred16_0 )
& ( ~ epred15_0
| ~ epred14_0
| ~ epred15_0
| ~ epred14_0
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ~ epred15_0
| ~ epred14_0
| epred16_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ~ epred15_0
| ~ epred14_0
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred15_0
| ~ epred14_0
| epred16_0 )
& ( ( f3 @ $false )
| ~ epred15_0
| ~ epred14_0
| epred16_0 )
& ( ~ epred15_0
| ~ epred14_0
| ( f3 @ $false )
| ~ epred14_0
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ( f3 @ $false )
| ~ epred14_0
| epred16_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred14_0
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ~ epred14_0
| epred16_0 )
& ( ( f3 @ $false )
| ( f3 @ $false )
| ~ epred14_0
| epred16_0 )
& ( ~ epred15_0
| ~ epred14_0
| ~ epred15_0
| ( f3 @ $true )
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ~ epred15_0
| ( f3 @ $true )
| epred16_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ~ epred15_0
| ( f3 @ $true )
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ~ epred15_0
| ( f3 @ $true )
| epred16_0 )
& ( ( f3 @ $false )
| ~ epred15_0
| ( f3 @ $true )
| epred16_0 )
& ( ~ epred15_0
| ~ epred14_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ( f3 @ $false )
| ( f3 @ $true )
| epred16_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $false )
| ( f3 @ $true )
| epred16_0 )
& ( ( f3 @ $false )
| ( f3 @ $false )
| ( f3 @ $true )
| epred16_0 )
& ( ~ epred15_0
| ~ epred14_0
| ( f3 @ $true )
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ epred14_0
| ( f3 @ $true )
| epred16_0 )
& ( ~ epred15_0
| ~ ( f3 @ $true )
| ( f3 @ $true )
| epred16_0 )
& ( ~ ( f3 @ $false )
| ~ ( f3 @ $true )
| ( f3 @ $true )
| epred16_0 )
& ( ( f3 @ $false )
| ( f3 @ $true )
| epred16_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_149])])]) ).
thf(c_0_192,plain,
( epred15_0
| ( f3 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
thf(c_0_193,plain,
( epred15_0
| ( f3 @ ~ $true )
| ~ epred17_0 ),
inference(cn,[status(thm)],[c_0_150]) ).
thf(c_0_194,plain,
( epred6_0
| ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
thf(c_0_195,plain,
( epred6_0
| ( f2 @ ~ $true )
| ~ epred8_0 ),
inference(cn,[status(thm)],[c_0_151]) ).
thf(c_0_196,negated_conjecture,
( ~ epred22_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
thf(c_0_197,plain,
( epred22_0
| epred8_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_112]),c_0_155]),c_0_156]) ).
thf(c_0_198,plain,
( epred10_0
| epred19_0
| ~ epred20_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
thf(c_0_199,plain,
( epred10_0
| epred20_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_112]),c_0_155]) ).
thf(c_0_200,plain,
( ( f2 @ $true )
| epred7_0
| ~ ( f2 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
thf(c_0_201,plain,
( epred7_0
| ( f2 @ ~ $true )
| ~ epred5_0 ),
inference(cn,[status(thm)],[c_0_160]) ).
thf(c_0_202,plain,
( epred6_0
| ~ epred4_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_203,plain,
( ( f2 @ $true )
| epred5_0
| ~ epred4_0
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_204,plain,
( epred4_0
| ~ ( f4 @ ~ $true )
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_205,plain,
( ( f4 @ $true )
| epred3_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_163,c_0_164]) ).
thf(c_0_206,plain,
( epred3_0
| ~ epred1_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
thf(c_0_207,plain,
( epred4_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_44]),c_0_168]),c_0_131]) ).
thf(c_0_208,plain,
( epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_169]),c_0_93]) ).
thf(c_0_209,plain,
( epred6_0
| ~ ( f3 @ ~ $true )
| ~ epred3_0
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_210,plain,
( ( f2 @ $true )
| epred5_0
| ~ ( f3 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_211,plain,
( epred12_0
| x
| epred15_0
| ~ ( f4 @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_71]),c_0_101]) ).
thf(c_0_212,plain,
( ( f4 @ $true )
| epred12_0
| epred1_0
| x ),
inference(spm,[status(thm)],[c_0_62,c_0_71]) ).
thf(c_0_213,plain,
( x
| epred15_0
| ~ ( f4 @ $true )
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_67]) ).
thf(c_0_214,plain,
( ( f4 @ $true )
| x
| ~ epred2_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_47]) ).
thf(c_0_215,plain,
( x
| ( f5 @ ~ $true )
| ( f4 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_216,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| ~ x
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
thf(c_0_217,plain,
( ( f4 @ $true )
| epred14_0
| ~ ( f5 @ ~ $true )
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_218,plain,
( epred14_0
| x
| epred12_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
thf(c_0_219,plain,
( ( f4 @ $true )
| epred14_0
| ~ x
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_99]),c_0_177]) ).
thf(c_0_220,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| epred13_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_178,c_0_139]) ).
thf(c_0_221,plain,
( epred13_0
| ~ x
| ~ epred1_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_179]) ).
thf(c_0_222,plain,
( epred15_0
| ~ ( f5 @ ~ $true )
| ~ epred12_0
| ~ ( f4 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_223,plain,
( ( f4 @ ~ $true )
| ( f5 @ ~ $true )
| epred14_0
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_224,plain,
( epred14_0
| epred15_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_142]) ).
thf(c_0_225,plain,
( epred12_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_182]),c_0_144]) ).
thf(c_0_226,plain,
( ~ ( f4 @ ~ $true )
| ~ x
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_103]),c_0_183]) ).
thf(c_0_227,plain,
( ( f5 @ $true )
| ~ x
| ~ ( f5 @ ~ $true )
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_228,plain,
( ~ x
| ~ epred12_0
| ~ ( f5 @ $true ) ),
inference(cn,[status(thm)],[c_0_184]) ).
thf(c_0_229,plain,
( ( f5 @ $true )
| ( f5 @ ~ $true )
| ~ x
| ~ epred13_0 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_230,plain,
( x
| ~ ( f5 @ ~ $true )
| ~ ( f5 @ $true )
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_231,plain,
( epred13_0
| ~ ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
thf(c_0_232,plain,
( epred12_0
| ( f4 @ $true )
| ~ ( f5 @ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_233,plain,
( epred12_0
| ~ ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
thf(c_0_234,plain,
( epred12_0
| ( f5 @ $true )
| ( f4 @ ~ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_235,plain,
( epred16_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_236,plain,
( epred16_0
| ( f2 @ $true )
| ~ ( f3 @ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_237,plain,
( epred15_0
| ~ ( f3 @ ~ $true )
| ~ ( f3 @ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
thf(c_0_238,plain,
( ( f3 @ $true )
| epred15_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[c_0_192,c_0_193]) ).
thf(c_0_239,plain,
( epred17_0
| ~ ( f3 @ ~ $true )
| ~ ( f2 @ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_240,plain,
( epred17_0
| ( f2 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_241,plain,
( epred6_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_242,plain,
( ( f2 @ $true )
| epred6_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[c_0_194,c_0_195]) ).
thf(c_0_243,negated_conjecture,
( epred8_0
| ~ epred10_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
thf(c_0_244,plain,
( epred19_0
| epred10_0
| ~ epred7_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
thf(c_0_245,plain,
( epred8_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
thf(c_0_246,plain,
( ( f2 @ $true )
| epred7_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_200,c_0_201]) ).
thf(c_0_247,plain,
( epred7_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
thf(c_0_248,plain,
( ( f3 @ $true )
| epred6_0
| ~ ( f2 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_249,plain,
( ( f2 @ ~ $true )
| ( f3 @ $true )
| epred5_0
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_250,plain,
( epred5_0
| epred6_0
| ~ ( f3 @ $true )
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
thf(c_0_251,plain,
( epred3_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_164]),c_0_205]),c_0_206]) ).
thf(c_0_252,plain,
( epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
thf(c_0_253,plain,
( ( f3 @ ~ $true )
| epred6_0
| ~ ( f2 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_254,plain,
( ( f2 @ ~ $true )
| ( f3 @ ~ $true )
| epred5_0
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_255,plain,
( epred5_0
| epred6_0
| ~ ( f3 @ ~ $true )
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
thf(c_0_256,plain,
( epred1_0
| epred15_0
| x
| epred12_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
thf(c_0_257,plain,
( ( f4 @ $true )
| epred12_0
| x
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_71]) ).
thf(c_0_258,plain,
( epred15_0
| x
| ~ epred13_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
thf(c_0_259,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_215]),c_0_216]) ).
thf(c_0_260,plain,
( ( f4 @ $true )
| epred14_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_145]),c_0_218]),c_0_99]),c_0_219]) ).
thf(c_0_261,plain,
( ( f4 @ $true )
| epred13_0
| ~ epred15_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_145]),c_0_220]),c_0_221]) ).
thf(c_0_262,plain,
( ( f4 @ ~ $true )
| epred14_0
| epred15_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_99]) ).
thf(c_0_263,plain,
( epred12_0
| epred15_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
thf(c_0_264,plain,
( ( f5 @ ~ $true )
| epred15_0
| ~ ( f4 @ ~ $true )
| ~ epred12_0 ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
thf(c_0_265,plain,
( ~ ( f4 @ ~ $true )
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_145]),c_0_226]),c_0_183]) ).
thf(c_0_266,plain,
( epred14_0
| ~ ( f3 @ $true )
| ~ ( f3 @ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
thf(c_0_267,plain,
( ~ ( f5 @ ~ $true )
| ~ x
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_227,c_0_228]) ).
thf(c_0_268,plain,
( ( f5 @ ~ $true )
| ( f5 @ $true )
| ~ epred13_0 ),
inference(csr,[status(thm)],[c_0_229,c_0_67]) ).
thf(c_0_269,plain,
( ~ ( f5 @ $true )
| ~ ( f5 @ ~ $true )
| ~ epred12_0 ),
inference(csr,[status(thm)],[c_0_230,c_0_228]) ).
thf(c_0_270,plain,
( epred13_0
| ~ ( f4 @ ~ $true )
| ~ epred15_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_186]),c_0_231]) ).
thf(c_0_271,plain,
( epred12_0
| ~ ( f4 @ ~ $true )
| ~ epred15_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_188]),c_0_233]) ).
thf(c_0_272,plain,
( ( f4 @ ~ $true )
| ( f4 @ $true )
| epred12_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_234]) ).
thf(c_0_273,plain,
( epred16_0
| ~ ( f3 @ $true )
| ~ epred18_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
thf(c_0_274,plain,
( epred15_0
| ~ epred16_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_193]),c_0_238]) ).
thf(c_0_275,plain,
( epred17_0
| ( f3 @ ~ $true )
| ~ ( f2 @ ~ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_276,plain,
( epred17_0
| ( f3 @ ~ $true )
| ( f2 @ ~ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_277,plain,
( epred17_0
| ~ ( f3 @ ~ $true )
| ~ epred18_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
thf(c_0_278,plain,
( epred6_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_195]),c_0_242]) ).
thf(c_0_279,plain,
( epred19_0
| epred8_0
| ~ epred18_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
thf(c_0_280,plain,
( epred7_0
| epred8_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_201]),c_0_246]) ).
thf(c_0_281,plain,
( epred7_0
| ~ epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_247]) ).
thf(c_0_282,plain,
( epred5_0
| epred6_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).
thf(c_0_283,plain,
( epred4_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
thf(c_0_284,plain,
( epred5_0
| epred6_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]) ).
thf(c_0_285,plain,
( ( f4 @ ~ $true )
| epred1_0
| x
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_92]),c_0_256]),c_0_44]) ).
thf(c_0_286,plain,
( epred15_0
| x
| epred12_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_257]) ).
thf(c_0_287,plain,
( ( f4 @ $true )
| epred15_0
| ~ epred2_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_98]),c_0_258]),c_0_259]) ).
thf(c_0_288,plain,
( ( f4 @ ~ $true )
| epred14_0
| ~ epred1_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_141]),c_0_94]),c_0_260]) ).
thf(c_0_289,plain,
( ( f4 @ ~ $true )
| epred13_0
| ~ epred1_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_139]),c_0_261]),c_0_221]) ).
thf(c_0_290,plain,
( epred14_0
| epred15_0
| ~ ( f4 @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_262]),c_0_263]) ).
thf(c_0_291,plain,
( ( f4 @ $true )
| epred15_0
| epred14_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_264]),c_0_99]) ).
thf(c_0_292,plain,
( ( f4 @ $true )
| ~ epred2_0
| ~ epred1_0
| ~ x ),
inference(spm,[status(thm)],[c_0_265,c_0_216]) ).
thf(c_0_293,plain,
( epred14_0
| ( f3 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
thf(c_0_294,plain,
( epred14_0
| ~ epred16_0
| ~ ( f3 @ $true ) ),
inference(cn,[status(thm)],[c_0_266]) ).
thf(c_0_295,plain,
( ( f5 @ $true )
| ~ epred12_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_67]) ).
thf(c_0_296,plain,
( x
| ~ epred12_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_47]),c_0_67]) ).
thf(c_0_297,plain,
( ( f4 @ $true )
| epred13_0
| ~ epred15_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_220]) ).
thf(c_0_298,plain,
( ( f4 @ $true )
| epred12_0
| ~ epred15_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
thf(c_0_299,plain,
( epred15_0
| ~ epred18_0
| ~ epred19_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_238]),c_0_274]) ).
thf(c_0_300,plain,
( epred17_0
| ~ epred18_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).
thf(c_0_301,plain,
( epred19_0
| epred6_0
| ~ epred18_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
thf(c_0_302,plain,
( epred7_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_280]),c_0_281]) ).
thf(c_0_303,plain,
( epred6_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_284]) ).
thf(c_0_304,plain,
( epred15_0
| ~ ( f4 @ ~ $true )
| ~ x
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_267,c_0_264]) ).
thf(c_0_305,plain,
( ( f4 @ ~ $true )
| epred1_0
| ~ x
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_228,c_0_134]) ).
thf(c_0_306,plain,
( x
| epred1_0
| epred15_0
| ~ ( f4 @ $true ) ),
inference(spm,[status(thm)],[c_0_180,c_0_285]) ).
thf(c_0_307,plain,
( ( f4 @ $true )
| epred15_0
| x
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_264]),c_0_286]),c_0_259]) ).
thf(c_0_308,plain,
( ( f4 @ ~ $true )
| epred15_0
| ~ epred13_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_173]),c_0_258]),c_0_287]) ).
thf(c_0_309,plain,
( epred14_0
| ~ epred1_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_288]),c_0_260]) ).
thf(c_0_310,plain,
( epred13_0
| ~ epred1_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_289]),c_0_261]) ).
thf(c_0_311,plain,
( epred15_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_263]) ).
thf(c_0_312,plain,
( ( f4 @ $true )
| ~ epred2_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_265,c_0_259]) ).
thf(c_0_313,plain,
( ~ x
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_173]),c_0_292]),c_0_265]) ).
thf(c_0_314,plain,
( epred1_0
| ~ ( f4 @ $true )
| ~ ( f4 @ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
thf(c_0_315,plain,
( epred14_0
| ~ ( f3 @ ~ $true )
| ~ epred16_0 ),
inference(csr,[status(thm)],[c_0_293,c_0_294]) ).
thf(c_0_316,plain,
( epred14_0
| ( f3 @ $true )
| ( f3 @ ~ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
thf(c_0_317,plain,
( epred16_0
| ( f3 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred18_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_318,plain,
( epred16_0
| ( f3 @ $true )
| ( f2 @ ~ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_319,plain,
( ~ epred12_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_295]),c_0_296]) ).
thf(c_0_320,plain,
( epred13_0
| ~ epred14_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_139]),c_0_297]),c_0_270]) ).
thf(c_0_321,plain,
( epred12_0
| ~ epred14_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_234]),c_0_298]),c_0_271]) ).
thf(c_0_322,plain,
( epred15_0
| ~ epred18_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
thf(c_0_323,plain,
( epred6_0
| epred19_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_303]) ).
thf(c_0_324,plain,
( epred1_0
| epred15_0
| ~ x
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
thf(c_0_325,plain,
( epred15_0
| epred1_0
| x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_208]) ).
thf(c_0_326,plain,
( epred15_0
| ~ epred13_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_308]),c_0_287]) ).
thf(c_0_327,plain,
( epred5_0
| epred16_0
| ~ ( f3 @ $true )
| ~ epred18_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_203]) ).
thf(c_0_328,plain,
( epred14_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]) ).
thf(c_0_329,plain,
( ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_215]),c_0_312]),c_0_313]),c_0_265]) ).
thf(c_0_330,plain,
( epred1_0
| ( f4 @ $true )
| ~ ( f4 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
thf(c_0_331,plain,
( epred1_0
| ~ epred3_0
| ~ ( f4 @ $true ) ),
inference(cn,[status(thm)],[c_0_314]) ).
thf(c_0_332,plain,
( epred4_0
| ~ ( f3 @ ~ $true )
| ~ ( f2 @ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_333,plain,
( epred4_0
| ( f2 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_334,plain,
( epred3_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_335,plain,
( epred3_0
| ( f2 @ $true )
| ~ ( f3 @ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_336,plain,
( epred14_0
| ~ epred16_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_316]),c_0_294]) ).
thf(c_0_337,plain,
( epred16_0
| ~ epred18_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_273]) ).
thf(c_0_338,plain,
( ~ epred14_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_321]) ).
thf(c_0_339,plain,
( epred6_0
| epred15_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
thf(c_0_340,plain,
( epred15_0
| epred1_0
| ~ epred12_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
thf(c_0_341,plain,
( epred12_0
| epred15_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_225]) ).
thf(c_0_342,plain,
( ( f2 @ $true )
| epred5_0
| ~ ( f3 @ ~ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_343,plain,
( ( f3 @ ~ $true )
| ( f3 @ ~ $true )
| epred16_0
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
thf(c_0_344,plain,
( epred5_0
| epred16_0
| ~ epred18_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_249]),c_0_327]) ).
thf(c_0_345,plain,
( epred4_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_252]) ).
thf(c_0_346,plain,
( ~ epred1_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_166]) ).
thf(c_0_347,plain,
( epred1_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_330,c_0_44]),c_0_331]) ).
thf(c_0_348,plain,
( epred4_0
| ( f3 @ ~ $true )
| ~ ( f2 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_349,plain,
( epred4_0
| ( f3 @ ~ $true )
| ( f2 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_350,plain,
( epred4_0
| ~ ( f3 @ ~ $true )
| ~ epred5_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
thf(c_0_351,plain,
( epred3_0
| ( f3 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_352,plain,
( epred3_0
| ( f3 @ $true )
| ( f2 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_353,plain,
( epred3_0
| ~ ( f3 @ $true )
| ~ epred5_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
thf(c_0_354,plain,
( epred4_0
| epred17_0
| ~ ( f3 @ ~ $true )
| ~ epred18_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_333]) ).
thf(c_0_355,plain,
( epred14_0
| ~ epred18_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_300]),c_0_337]) ).
thf(c_0_356,plain,
( epred6_0
| ~ epred14_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
thf(c_0_357,plain,
( epred1_0
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_208]) ).
thf(c_0_358,plain,
( epred5_0
| epred16_0
| ~ ( f3 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_342]) ).
thf(c_0_359,plain,
( epred16_0
| ( f3 @ ~ $true )
| ~ epred14_0 ),
inference(cn,[status(thm)],[c_0_343]) ).
thf(c_0_360,plain,
( epred14_0
| epred16_0
| epred5_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
thf(c_0_361,plain,
( ( f3 @ $true )
| epred16_0
| ~ ( f3 @ ~ $true )
| ~ epred14_0 ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
thf(c_0_362,plain,
( ( f3 @ ~ $true )
| ( f3 @ $true )
| epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
thf(c_0_363,plain,
( ~ epred4_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
thf(c_0_364,plain,
( epred4_0
| ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_350]) ).
thf(c_0_365,plain,
( epred3_0
| ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_353]) ).
thf(c_0_366,plain,
( epred13_0
| ~ ( f4 @ ~ $true )
| ~ x
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_138,c_0_186]) ).
thf(c_0_367,plain,
( ( f4 @ ~ $true )
| epred1_0
| epred13_0
| ~ x ),
inference(spm,[status(thm)],[c_0_97,c_0_134]) ).
thf(c_0_368,plain,
( x
| epred12_0
| ~ ( f4 @ $true )
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_101]) ).
thf(c_0_369,plain,
( epred17_0
| ~ epred15_0
| ~ ( f3 @ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
thf(c_0_370,plain,
( epred4_0
| epred17_0
| ~ epred18_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_349]),c_0_354]) ).
thf(c_0_371,plain,
( epred6_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_323]),c_0_356]) ).
thf(c_0_372,plain,
( epred15_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_357]) ).
thf(c_0_373,plain,
( epred16_0
| epred5_0
| ~ ( f3 @ $true )
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_360]) ).
thf(c_0_374,plain,
( ( f3 @ $true )
| epred16_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[c_0_361,c_0_362]) ).
thf(c_0_375,plain,
( ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_364]),c_0_365]) ).
thf(c_0_376,plain,
( epred16_0
| epred6_0
| ~ ( f3 @ $true )
| ~ epred4_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_202,c_0_236]) ).
thf(c_0_377,plain,
( epred1_0
| epred13_0
| ~ x
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
thf(c_0_378,plain,
( epred1_0
| epred12_0
| x
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_212]) ).
thf(c_0_379,plain,
( epred18_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_380,plain,
( epred21_0
| ~ epred19_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_381,plain,
( ( f3 @ $true )
| epred17_0
| ~ ( f3 @ ~ $true )
| ~ epred15_0 ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
thf(c_0_382,plain,
( epred17_0
| ~ epred15_0
| ~ ( f3 @ $true ) ),
inference(cn,[status(thm)],[c_0_369]) ).
thf(c_0_383,plain,
( ( f2 @ ~ $true )
| ( f3 @ ~ $true )
| ( f3 @ $true )
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_384,plain,
( epred15_0
| ~ epred16_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_370]),c_0_371]),c_0_372]) ).
thf(c_0_385,plain,
( epred5_0
| epred16_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_360]) ).
thf(c_0_386,plain,
( ~ epred5_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_371]) ).
thf(c_0_387,plain,
( epred6_0
| ~ ( f3 @ ~ $true )
| ~ ( f3 @ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
thf(c_0_388,plain,
( epred16_0
| epred6_0
| ~ epred4_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_318]),c_0_376]) ).
thf(c_0_389,plain,
( ( f4 @ ~ $true )
| epred1_0
| epred13_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_92]),c_0_44]),c_0_377]) ).
thf(c_0_390,plain,
( ( f4 @ $true )
| epred1_0
| x
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_62,c_0_47]) ).
thf(c_0_391,plain,
( ( f4 @ $true )
| epred12_0
| epred1_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_188]),c_0_378]),c_0_44]) ).
thf(c_0_392,plain,
( epred18_0
| ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred20_0 ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
thf(c_0_393,plain,
( epred18_0
| ~ epred20_0
| ~ ( f1 @ $true ) ),
inference(cn,[status(thm)],[c_0_379]) ).
thf(c_0_394,plain,
( ( f1 @ $true )
| epred21_0
| ~ ( f1 @ ~ $true )
| ~ epred19_0 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_395,plain,
( epred21_0
| ~ epred19_0
| ~ ( f1 @ $true ) ),
inference(cn,[status(thm)],[c_0_380]) ).
thf(c_0_396,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred10_0
| ~ ( f0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_397,plain,
( epred7_0
| ~ ( f1 @ $true )
| ~ ( f0 @ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_398,plain,
( epred7_0
| ( f0 @ $true )
| ~ ( f1 @ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_399,plain,
( epred22_0
| ~ epred21_0
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_400,plain,
( ( f0 @ $true )
| epred9_0
| ~ epred8_0
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_401,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred22_0
| ~ ( f0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_402,plain,
( ( f0 @ ~ $true )
| ( f1 @ ~ $true )
| ( f1 @ $true )
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_403,plain,
( epred17_0
| ~ ( f3 @ ~ $true )
| ~ epred15_0 ),
inference(csr,[status(thm)],[c_0_381,c_0_382]) ).
thf(c_0_404,plain,
( ( f3 @ $true )
| ( f3 @ ~ $true )
| epred5_0
| epred17_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_383]) ).
thf(c_0_405,plain,
( epred15_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_386]) ).
thf(c_0_406,plain,
( ( f2 @ $true )
| epred18_0
| ~ ( f3 @ ~ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_407,plain,
( epred16_0
| epred6_0
| ~ ( f3 @ $true )
| ~ ( f3 @ ~ $true )
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_236]) ).
thf(c_0_408,plain,
( epred14_0
| epred6_0
| epred16_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_388,c_0_345]) ).
thf(c_0_409,plain,
( epred1_0
| epred13_0
| ~ ( f4 @ $true )
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_389]) ).
thf(c_0_410,plain,
( ( f4 @ $true )
| epred1_0
| x
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_186]),c_0_44]),c_0_390]) ).
thf(c_0_411,plain,
( ( f4 @ ~ $true )
| epred1_0
| epred12_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_134]),c_0_378]),c_0_391]) ).
thf(c_0_412,plain,
( epred19_0
| ~ epred17_0
| ~ ( f3 @ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_413,plain,
( ( f2 @ $true )
| epred18_0
| ~ epred17_0
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_414,plain,
( epred18_0
| ~ ( f1 @ ~ $true )
| ~ epred20_0 ),
inference(csr,[status(thm)],[c_0_392,c_0_393]) ).
thf(c_0_415,plain,
( epred18_0
| ( f1 @ $true )
| ( f1 @ ~ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_416,plain,
( epred21_0
| ~ ( f1 @ ~ $true )
| ~ epred19_0 ),
inference(csr,[status(thm)],[c_0_394,c_0_395]) ).
thf(c_0_417,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred21_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_119]),c_0_81]) ).
thf(c_0_418,plain,
( epred7_0
| ( f1 @ $true )
| ~ ( f0 @ ~ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_419,plain,
( epred20_0
| ( f1 @ $true )
| ( f0 @ ~ $true )
| ~ epred22_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_420,plain,
( epred20_0
| epred7_0
| ~ ( f1 @ $true )
| ~ epred9_0
| ~ epred22_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_122]) ).
thf(c_0_421,plain,
( epred7_0
| ( f1 @ $true )
| ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_422,plain,
( epred7_0
| ~ ( f1 @ $true )
| ~ epred9_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
thf(c_0_423,plain,
( ( f1 @ $true )
| epred22_0
| ~ ( f0 @ ~ $true )
| ~ epred21_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_424,plain,
( ( f0 @ ~ $true )
| ( f1 @ $true )
| epred9_0
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
thf(c_0_425,plain,
( epred9_0
| epred22_0
| ~ ( f1 @ $true )
| ~ epred21_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
thf(c_0_426,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred9_0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
thf(c_0_427,plain,
( epred10_0
| ~ epred8_0
| ~ ( f1 @ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_428,plain,
( ( f3 @ $true )
| epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_405]),c_0_386]) ).
thf(c_0_429,plain,
( ( f2 @ ~ $true )
| ( f3 @ ~ $true )
| epred18_0
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_430,plain,
( epred18_0
| epred6_0
| ~ ( f3 @ ~ $true )
| ~ epred3_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_406]) ).
thf(c_0_431,plain,
( epred6_0
| epred16_0
| ~ ( f3 @ $true )
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_359]),c_0_408]) ).
thf(c_0_432,plain,
( epred13_0
| epred1_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_377]) ).
thf(c_0_433,plain,
( epred1_0
| epred12_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_411]),c_0_391]) ).
thf(c_0_434,plain,
( epred19_0
| ~ ( f3 @ ~ $true )
| ~ epred16_0
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_435,plain,
( ( f3 @ $true )
| epred19_0
| ~ ( f2 @ ~ $true )
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_436,plain,
( ( f2 @ ~ $true )
| ( f3 @ $true )
| epred18_0
| ~ epred17_0 ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
thf(c_0_437,plain,
( epred18_0
| epred19_0
| ~ ( f3 @ $true )
| ~ epred17_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
thf(c_0_438,plain,
( epred17_0
| ~ ( f3 @ ~ $true )
| ~ ( f3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
thf(c_0_439,plain,
( epred18_0
| ~ epred20_0
| ~ epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_393]) ).
thf(c_0_440,plain,
( epred10_0
| epred21_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_395]) ).
thf(c_0_441,plain,
( epred20_0
| epred7_0
| ~ epred9_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_420]) ).
thf(c_0_442,plain,
( epred7_0
| ~ epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_421]),c_0_422]) ).
thf(c_0_443,plain,
( epred9_0
| epred22_0
| ~ epred21_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_425]) ).
thf(c_0_444,plain,
( epred22_0
| epred9_0
| epred21_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_426]),c_0_395]) ).
thf(c_0_445,plain,
( ( f1 @ $true )
| epred10_0
| ~ ( f0 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_446,plain,
( epred9_0
| epred10_0
| ~ ( f1 @ $true )
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_427,c_0_400]) ).
thf(c_0_447,plain,
( epred17_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_428]),c_0_405]) ).
thf(c_0_448,plain,
( ~ epred14_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_338,c_0_405]) ).
thf(c_0_449,plain,
( epred8_0
| ~ epred6_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
thf(c_0_450,plain,
( epred18_0
| epred6_0
| ~ epred3_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_429]),c_0_430]) ).
thf(c_0_451,plain,
( epred16_0
| epred6_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_374]),c_0_408]) ).
thf(c_0_452,plain,
( epred1_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_432]),c_0_433]) ).
thf(c_0_453,plain,
( ( f3 @ ~ $true )
| epred19_0
| ~ ( f2 @ ~ $true )
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_454,plain,
( epred18_0
| epred19_0
| ~ ( f3 @ ~ $true )
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_434,c_0_406]) ).
thf(c_0_455,plain,
( epred18_0
| epred19_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_437]) ).
thf(c_0_456,plain,
( epred16_0
| epred17_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_359]),c_0_374]) ).
thf(c_0_457,plain,
( epred10_0
| epred18_0
| ~ epred20_0
| ~ epred19_0 ),
inference(spm,[status(thm)],[c_0_439,c_0_440]) ).
thf(c_0_458,plain,
( epred7_0
| epred20_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_81]),c_0_442]) ).
thf(c_0_459,negated_conjecture,
( epred9_0
| ~ epred10_0
| ~ epred21_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_443]) ).
thf(c_0_460,negated_conjecture,
( epred21_0
| epred9_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_444]),c_0_440]) ).
thf(c_0_461,plain,
( epred9_0
| epred10_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_424]),c_0_446]) ).
thf(c_0_462,plain,
( ~ epred16_0
| ~ epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_447]),c_0_448]) ).
thf(c_0_463,plain,
( ( f2 @ $true )
| epred8_0
| ~ ( f2 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
thf(c_0_464,plain,
( epred8_0
| ~ epred6_0
| ~ ( f2 @ $true ) ),
inference(cn,[status(thm)],[c_0_449]) ).
thf(c_0_465,plain,
( epred8_0
| ~ epred6_0
| ~ epred5_0
| ~ epred6_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
thf(c_0_466,plain,
( epred6_0
| ~ epred3_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_451]),c_0_371]) ).
thf(c_0_467,plain,
( epred3_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_452]) ).
thf(c_0_468,plain,
( epred18_0
| epred19_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_429]),c_0_454]) ).
thf(c_0_469,plain,
( epred16_0
| epred19_0
| epred18_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
thf(c_0_470,plain,
( ( f4 @ $true )
| x
| epred12_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_101]) ).
thf(c_0_471,plain,
( epred5_0
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
thf(c_0_472,plain,
( epred7_0
| epred18_0
| ~ epred19_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_458]),c_0_442]) ).
thf(c_0_473,negated_conjecture,
( epred9_0
| ~ epred8_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_460]),c_0_461]) ).
thf(c_0_474,plain,
~ epred18_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_385]),c_0_386]) ).
thf(c_0_475,plain,
( epred8_0
| ~ ( f2 @ ~ $true )
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_463,c_0_464]) ).
thf(c_0_476,plain,
( ( f2 @ ~ $true )
| ( f2 @ $true )
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
thf(c_0_477,plain,
( epred8_0
| ~ epred5_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_465]) ).
thf(c_0_478,plain,
( epred19_0
| ~ epred17_0
| ~ epred16_0
| ~ epred17_0
| ~ epred16_0 ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_479,plain,
( epred19_0
| ~ ( f3 @ ~ $true )
| ~ ( f3 @ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
thf(c_0_480,plain,
( epred6_0
| ~ epred19_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_467]) ).
thf(c_0_481,plain,
( epred19_0
| epred18_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
thf(c_0_482,plain,
( x
| epred12_0
| ~ epred1_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_470]) ).
thf(c_0_483,plain,
( epred5_0
| ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
thf(c_0_484,plain,
( epred5_0
| ~ epred7_0
| ~ ( f2 @ $true ) ),
inference(cn,[status(thm)],[c_0_471]) ).
thf(c_0_485,plain,
( epred7_0
| ~ epred19_0
| ~ epred8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_474]) ).
thf(c_0_486,plain,
( epred8_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_477]),c_0_464]) ).
thf(c_0_487,plain,
( epred19_0
| ~ epred16_0
| ~ epred17_0 ),
inference(cn,[status(thm)],[c_0_478]) ).
thf(c_0_488,plain,
( epred5_0
| epred19_0
| ~ ( f3 @ $true )
| ~ ( f3 @ ~ $true ) ),
inference(spm,[status(thm)],[c_0_479,c_0_342]) ).
thf(c_0_489,plain,
( epred6_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_371]) ).
thf(c_0_490,plain,
( epred12_0
| ~ ( f4 @ ~ $true )
| ~ epred15_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_103]),c_0_482]),c_0_183]) ).
thf(c_0_491,plain,
( epred16_0
| epred17_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_362]),c_0_382]) ).
thf(c_0_492,plain,
( epred5_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_483,c_0_476]),c_0_484]) ).
thf(c_0_493,plain,
( epred7_0
| ~ epred19_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
thf(c_0_494,plain,
( epred19_0
| ~ epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_447]),c_0_468]) ).
thf(c_0_495,plain,
( epred16_0
| epred19_0
| epred5_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_359]),c_0_374]) ).
thf(c_0_496,plain,
( ~ epred5_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_489]) ).
thf(c_0_497,plain,
( ( f4 @ $true )
| epred12_0
| ~ epred15_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_490,c_0_272]) ).
thf(c_0_498,plain,
( epred16_0
| epred19_0
| epred18_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_455,c_0_491]) ).
thf(c_0_499,plain,
( epred5_0
| ~ epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_303]) ).
thf(c_0_500,plain,
( epred19_0
| ~ epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_495]),c_0_496]) ).
thf(c_0_501,plain,
( epred12_0
| ~ epred1_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_234]),c_0_482]),c_0_497]),c_0_490]) ).
thf(c_0_502,plain,
( epred19_0
| epred18_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_498]) ).
thf(c_0_503,plain,
~ epred14_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_496]) ).
thf(c_0_504,plain,
( ~ epred1_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_310]),c_0_501]) ).
thf(c_0_505,plain,
( epred5_0
| ~ epred15_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_502]),c_0_474]) ).
thf(c_0_506,plain,
epred15_0,
inference(sr,[status(thm)],[c_0_311,c_0_503]) ).
thf(c_0_507,plain,
( ~ epred15_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_504,c_0_347]) ).
thf(c_0_508,plain,
epred5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_505,c_0_506])]) ).
thf(c_0_509,plain,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_507,c_0_506])]) ).
thf(c_0_510,plain,
epred19_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_502,c_0_506])]),c_0_474]) ).
thf(c_0_511,plain,
( ~ ( f2 @ $true )
| ~ ( f3 @ $true ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_508])]),c_0_509]) ).
thf(c_0_512,plain,
( ( f3 @ $true )
| ~ ( f2 @ ~ $true ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_351,c_0_508])]),c_0_509]) ).
thf(c_0_513,plain,
( epred16_0
| ~ ( f3 @ $true ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_510])]),c_0_511]) ).
thf(c_0_514,plain,
epred16_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_510])]),c_0_512]),c_0_513]) ).
thf(c_0_515,plain,
~ ( f3 @ ~ $true ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_514])]),c_0_503]) ).
thf(c_0_516,plain,
f2 @ ~ $true,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_429,c_0_514])]),c_0_474]),c_0_515]) ).
thf(c_0_517,plain,
~ ( f3 @ $true ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_514])]),c_0_503]) ).
thf(c_0_518,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_512,c_0_516])]),c_0_517]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO500^1.006 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 09:21:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.25/0.71 # Version: 3.1.0-ho
% 1.25/0.71 # Preprocessing class: HSMSSMSSSSSNFFN.
% 1.25/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.71 # Starting new_ho_10 with 1500s (5) cores
% 1.25/0.71 # Starting new_bool_1 with 300s (1) cores
% 1.25/0.71 # Starting full_lambda_5 with 300s (1) cores
% 1.25/0.71 # Starting new_ho_10_unif with 300s (1) cores
% 1.25/0.71 # new_bool_1 with pid 18245 completed with status 0
% 1.25/0.71 # Result found by new_bool_1
% 1.25/0.71 # Preprocessing class: HSMSSMSSSSSNFFN.
% 1.25/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.71 # Starting new_ho_10 with 1500s (5) cores
% 1.25/0.71 # Starting new_bool_1 with 300s (1) cores
% 1.25/0.71 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.25/0.71 # Search class: HGHNF-FSLM00-SFFFFFNN
% 1.25/0.71 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.25/0.71 # Starting new_ho_10 with 181s (1) cores
% 1.25/0.71 # new_ho_10 with pid 18254 completed with status 0
% 1.25/0.71 # Result found by new_ho_10
% 1.25/0.71 # Preprocessing class: HSMSSMSSSSSNFFN.
% 1.25/0.71 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.71 # Starting new_ho_10 with 1500s (5) cores
% 1.25/0.71 # Starting new_bool_1 with 300s (1) cores
% 1.25/0.71 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.25/0.71 # Search class: HGHNF-FSLM00-SFFFFFNN
% 1.25/0.71 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.25/0.71 # Starting new_ho_10 with 181s (1) cores
% 1.25/0.71 # Preprocessing time : 0.004 s
% 1.25/0.71 # Presaturation interreduction done
% 1.25/0.71
% 1.25/0.71 # Proof found!
% 1.25/0.71 # SZS status Theorem
% 1.25/0.71 # SZS output start CNFRefutation
% See solution above
% 1.25/0.71 # Parsed axioms : 8
% 1.25/0.71 # Removed by relevancy pruning/SinE : 7
% 1.25/0.71 # Initial clauses : 640
% 1.25/0.71 # Removed in clause preprocessing : 231
% 1.25/0.71 # Initial clauses in saturation : 409
% 1.25/0.71 # Processed clauses : 1864
% 1.25/0.71 # ...of these trivial : 8
% 1.25/0.71 # ...subsumed : 846
% 1.25/0.71 # ...remaining for further processing : 1010
% 1.25/0.71 # Other redundant clauses eliminated : 0
% 1.25/0.71 # Clauses deleted for lack of memory : 0
% 1.25/0.71 # Backward-subsumed : 467
% 1.25/0.71 # Backward-rewritten : 210
% 1.25/0.71 # Generated clauses : 4616
% 1.25/0.71 # ...of the previous two non-redundant : 2548
% 1.25/0.71 # ...aggressively subsumed : 0
% 1.25/0.71 # Contextual simplify-reflections : 330
% 1.25/0.71 # Paramodulations : 4601
% 1.25/0.71 # Factorizations : 0
% 1.25/0.71 # NegExts : 0
% 1.25/0.71 # Equation resolutions : 0
% 1.25/0.71 # Disequality decompositions : 0
% 1.25/0.71 # Total rewrite steps : 218
% 1.25/0.71 # ...of those cached : 210
% 1.25/0.71 # Propositional unsat checks : 0
% 1.25/0.71 # Propositional check models : 0
% 1.25/0.71 # Propositional check unsatisfiable : 0
% 1.25/0.71 # Propositional clauses : 0
% 1.25/0.71 # Propositional clauses after purity: 0
% 1.25/0.71 # Propositional unsat core size : 0
% 1.25/0.71 # Propositional preprocessing time : 0.000
% 1.25/0.71 # Propositional encoding time : 0.000
% 1.25/0.71 # Propositional solver time : 0.000
% 1.25/0.71 # Success case prop preproc time : 0.000
% 1.25/0.71 # Success case prop encoding time : 0.000
% 1.25/0.71 # Success case prop solver time : 0.000
% 1.25/0.71 # Current number of processed clauses : 118
% 1.25/0.71 # Positive orientable unit clauses : 8
% 1.25/0.71 # Positive unorientable unit clauses: 0
% 1.25/0.71 # Negative unit clauses : 8
% 1.25/0.71 # Non-unit-clauses : 102
% 1.25/0.71 # Current number of unprocessed clauses: 951
% 1.25/0.71 # ...number of literals in the above : 5295
% 1.25/0.71 # Current number of archived formulas : 0
% 1.25/0.71 # Current number of archived clauses : 892
% 1.25/0.71 # Clause-clause subsumption calls (NU) : 157651
% 1.25/0.71 # Rec. Clause-clause subsumption calls : 49380
% 1.25/0.71 # Non-unit clause-clause subsumptions : 1545
% 1.25/0.71 # Unit Clause-clause subsumption calls : 2050
% 1.25/0.71 # Rewrite failures with RHS unbound : 0
% 1.25/0.71 # BW rewrite match attempts : 8
% 1.25/0.71 # BW rewrite match successes : 8
% 1.25/0.71 # Condensation attempts : 1864
% 1.25/0.71 # Condensation successes : 0
% 1.25/0.71 # Termbank termtop insertions : 171467
% 1.25/0.71 # Search garbage collected termcells : 3923
% 1.25/0.71
% 1.25/0.71 # -------------------------------------------------
% 1.25/0.71 # User time : 0.194 s
% 1.25/0.71 # System time : 0.012 s
% 1.25/0.71 # Total time : 0.207 s
% 1.25/0.71 # Maximum resident set size: 3336 pages
% 1.25/0.71
% 1.25/0.71 # -------------------------------------------------
% 1.25/0.71 # User time : 0.194 s
% 1.25/0.71 # System time : 0.017 s
% 1.25/0.71 # Total time : 0.212 s
% 1.25/0.71 # Maximum resident set size: 2268 pages
% 1.25/0.71 % E---3.1 exiting
% 1.25/0.71 % E exiting
%------------------------------------------------------------------------------