TSTP Solution File: SYO500^1.003 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO500^1.003 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 08:46:26 EDT 2024
% Result : Theorem 0.36s 0.61s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of formulae : 273 ( 10 unt; 14 typ; 0 def)
% Number of atoms : 4182 ( 0 equ; 0 cnn)
% Maximal formula atoms : 317 ( 16 avg)
% Number of connectives : 5456 (1533 ~;2060 |; 517 &;1328 @)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 13 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,
epred1_0: $o ).
thf(decl_27,type,
epred2_0: $o ).
thf(decl_28,type,
epred3_0: $o ).
thf(decl_29,type,
epred4_0: $o ).
thf(decl_30,type,
epred5_0: $o ).
thf(decl_31,type,
epred6_0: $o ).
thf(decl_32,type,
epred7_0: $o ).
thf(decl_33,type,
epred8_0: $o ).
thf(decl_34,type,
epred9_0: $o ).
thf(decl_35,type,
epred10_0: $o ).
thf(kaminski3,conjecture,
( ( f0 @ ( f1 @ ( f1 @ ( f1 @ ( f2 @ x ) ) ) ) )
<=> ( f0 @ ( f0 @ ( f0 @ ( f1 @ ( f2 @ ( f2 @ ( f2 @ x ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kaminski3) ).
thf(c_0_1,plain,
( epred9_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ~ ( f0 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ~ ( f0 @ $false ) ) )
| ~ ( f0 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f0 @ $false ) ) )
| ~ ( f0 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
( epred7_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_3,plain,
( epred8_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_4,plain,
( epred3_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f1 @ $false ) ) )
| ~ ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_5,plain,
( epred1_0
<=> ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_6,plain,
( epred2_0
<=> ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_7,plain,
( epred4_0
<=> ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_8,plain,
( epred10_0
<=> ( ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ~ ( f0 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ~ ( f0 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) )
| ( f0 @ $false ) ) )
| ( f0 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_9,plain,
( epred9_0
<=> ( ( ( ( epred7_0
| ~ ( f0 @ $true ) )
& ( epred8_0
| ~ ( f0 @ $false ) ) )
| ~ ( f0 @ $true ) )
& ( ( ( epred7_0
| ( f0 @ $true ) )
& ( epred8_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_10,plain,
( epred3_0
<=> ( ( ( ( epred1_0
| ~ ( f1 @ $true ) )
& ( epred2_0
| ~ ( f1 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( epred1_0
| ( f1 @ $true ) )
& ( epred2_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_4,c_0_5]),c_0_6]),c_0_5]),c_0_6]) ).
thf(c_0_11,negated_conjecture,
~ ( ( ( epred3_0
| ( f0 @ $true ) )
& ( epred4_0
| ( f0 @ $false ) ) )
<=> ( ( epred9_0
| ( f0 @ $true ) )
& ( epred10_0
| ( f0 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[kaminski3])]),c_0_4]),c_0_7]),c_0_1]),c_0_8]) ).
thf(c_0_12,plain,
( epred10_0
<=> ( ( ( ( epred7_0
| ~ ( f0 @ $true ) )
& ( epred8_0
| ~ ( f0 @ $false ) ) )
| ( f0 @ $true ) )
& ( ( ( epred7_0
| ( f0 @ $true ) )
& ( epred8_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_8,c_0_2]),c_0_3]),c_0_2]),c_0_3]) ).
thf(c_0_13,plain,
( epred6_0
<=> ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_14,plain,
( ( epred7_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ~ epred9_0 )
& ( epred8_0
| ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred9_0 )
& ( epred7_0
| ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ epred9_0 )
& ( epred8_0
| ( f0 @ $false )
| ~ ( f0 @ $false )
| ~ epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ( f0 @ $false )
| ~ epred8_0
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f0 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ( f0 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ( f0 @ $false )
| ( f0 @ $false )
| ~ epred7_0
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ~ epred8_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ~ epred8_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred8_0
| ( f0 @ $true )
| epred9_0 )
& ( ( f0 @ $false )
| ~ epred8_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred9_0 )
& ( ( f0 @ $false )
| ( f0 @ $false )
| ( f0 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ( f0 @ $true )
| epred9_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ( f0 @ $true )
| epred9_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $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_9])])]) ).
thf(c_0_15,plain,
( ( epred1_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| ~ epred3_0 )
& ( epred2_0
| ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred3_0 )
& ( epred1_0
| ( f1 @ $true )
| ~ ( f1 @ $false )
| ~ epred3_0 )
& ( epred2_0
| ( f1 @ $false )
| ~ ( f1 @ $false )
| ~ epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ( f1 @ $false )
| ~ epred2_0
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f1 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ( f1 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ( f1 @ $false )
| ( f1 @ $false )
| ~ epred1_0
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ( f1 @ $true )
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ~ epred2_0
| ( f1 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ~ epred2_0
| ( f1 @ $true )
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred2_0
| ( f1 @ $true )
| epred3_0 )
& ( ( f1 @ $false )
| ~ epred2_0
| ( f1 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred3_0 )
& ( ( f1 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f1 @ $true )
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ( f1 @ $true )
| epred3_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ( f1 @ $true )
| epred3_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $true )
| epred3_0 )
& ( ( f1 @ $false )
| ( f1 @ $true )
| epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
thf(c_0_16,negated_conjecture,
( ( ~ epred10_0
| ~ epred9_0
| ~ epred4_0
| ~ epred3_0 )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ~ epred4_0
| ~ epred3_0 )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ~ epred4_0
| ~ epred3_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred4_0
| ~ epred3_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ ( f0 @ $false )
| ~ epred3_0 )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ~ ( f0 @ $false )
| ~ epred3_0 )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ epred3_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ epred3_0 )
& ( ~ epred10_0
| ~ epred9_0
| ~ epred4_0
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ~ epred4_0
| ~ ( f0 @ $true ) )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ~ epred4_0
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred4_0
| ~ ( f0 @ $true ) )
& ( ~ epred10_0
| ~ epred9_0
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ epred9_0
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( ~ epred10_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ ( f0 @ $false )
| ~ ( f0 @ $true ) )
& ( epred9_0
| ( f0 @ $true )
| epred3_0
| ( f0 @ $true ) )
& ( epred10_0
| ( f0 @ $false )
| epred3_0
| ( f0 @ $true ) )
& ( epred9_0
| ( f0 @ $true )
| epred4_0
| ( f0 @ $false ) )
& ( epred10_0
| ( f0 @ $false )
| epred4_0
| ( f0 @ $false ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
thf(c_0_17,plain,
( ( epred7_0
| ~ ( f0 @ $true )
| ( f0 @ $true )
| ~ epred10_0 )
& ( epred8_0
| ~ ( f0 @ $false )
| ( f0 @ $true )
| ~ epred10_0 )
& ( epred7_0
| ( f0 @ $true )
| ( f0 @ $false )
| ~ epred10_0 )
& ( epred8_0
| ( f0 @ $false )
| ( f0 @ $false )
| ~ epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred8_0
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f0 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ( f0 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ ( f0 @ $false )
| ( f0 @ $false )
| ~ epred7_0
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ epred8_0
| ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ~ epred8_0
| ( f0 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ~ epred8_0
| ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ~ epred8_0
| ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred8_0
| ( f0 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ( f0 @ $false )
| ( f0 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $true )
| ( f0 @ $false )
| ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ( f0 @ $false )
| ( f0 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ epred7_0
| ~ ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ epred7_0
| ~ ( f0 @ $true )
| epred10_0 )
& ( ~ epred8_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| epred10_0 )
& ( ~ ( f0 @ $false )
| ~ ( f0 @ $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_12])])]) ).
thf(c_0_18,plain,
( epred4_0
<=> ( ( ( ( epred1_0
| ~ ( f1 @ $true ) )
& ( epred2_0
| ~ ( f1 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( epred1_0
| ( f1 @ $true ) )
& ( epred2_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_7,c_0_5]),c_0_6]),c_0_5]),c_0_6]) ).
thf(c_0_19,plain,
( epred5_0
<=> ( ( ( ( ~ x
| ~ ( f2 @ $true ) )
& ( x
| ~ ( f2 @ $false ) ) )
| ~ ( f2 @ $true ) )
& ( ( ( ~ x
| ( f2 @ $true ) )
& ( x
| ( f2 @ $false ) ) )
| ~ ( f2 @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_20,plain,
( ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $true )
| ~ epred6_0 )
& ( x
| ~ ( f2 @ $false )
| ( f2 @ $true )
| ~ epred6_0 )
& ( ~ x
| ( f2 @ $true )
| ( f2 @ $false )
| ~ epred6_0 )
& ( x
| ( f2 @ $false )
| ( f2 @ $false )
| ~ epred6_0 )
& ( ~ x
| x
| ~ x
| x
| epred6_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| x
| epred6_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| x
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| x
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ x
| x
| epred6_0 )
& ( ~ x
| x
| ( f2 @ $false )
| x
| epred6_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| x
| epred6_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred6_0 )
& ( ~ ( f2 @ $false )
| ( f2 @ $false )
| x
| epred6_0 )
& ( ~ x
| x
| ~ x
| ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| ( f2 @ $true )
| epred6_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| epred6_0 )
& ( ~ x
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred6_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred6_0 )
& ( ~ x
| x
| ~ ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| x
| ~ ( f2 @ $true )
| epred6_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| epred6_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $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_13])])]) ).
thf(c_0_21,plain,
( epred7_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_22,plain,
( ( ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred1_0 )
& ( x
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ epred1_0 )
& ( ~ x
| ( f2 @ $true )
| ~ ( f1 @ $false )
| ~ epred1_0 )
& ( x
| ( f2 @ $false )
| ~ ( f1 @ $false )
| ~ epred1_0 )
& ( ~ x
| x
| ~ x
| x
| epred1_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| x
| epred1_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| x
| epred1_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| x
| epred1_0 )
& ( ( f1 @ $false )
| ~ x
| x
| epred1_0 )
& ( ~ x
| x
| ( f2 @ $false )
| x
| epred1_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| x
| epred1_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred1_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred1_0 )
& ( ( f1 @ $false )
| ( f2 @ $false )
| x
| epred1_0 )
& ( ~ x
| x
| ~ x
| ( f2 @ $true )
| epred1_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| ( f2 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred1_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred1_0 )
& ( ( f1 @ $false )
| ~ x
| ( f2 @ $true )
| epred1_0 )
& ( ~ x
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred1_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred1_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred1_0 )
& ( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred1_0 )
& ( ~ x
| x
| ( f1 @ $true )
| epred1_0 )
& ( ~ ( f2 @ $false )
| x
| ( f1 @ $true )
| epred1_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred1_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred1_0 )
& ( ( f1 @ $false )
| ( f1 @ $true )
| epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
thf(c_0_23,plain,
( epred1_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_24,negated_conjecture,
( ~ epred10_0
| ~ ( f0 @ $true )
| ~ epred4_0
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_25,negated_conjecture,
( epred9_0
| ( f0 @ $true )
| epred3_0
| ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_26,plain,
( epred10_0
| ~ epred8_0
| ~ ( f0 @ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_27,plain,
( ( epred1_0
| ~ ( f1 @ $true )
| ( f1 @ $true )
| ~ epred4_0 )
& ( epred2_0
| ~ ( f1 @ $false )
| ( f1 @ $true )
| ~ epred4_0 )
& ( epred1_0
| ( f1 @ $true )
| ( f1 @ $false )
| ~ epred4_0 )
& ( epred2_0
| ( f1 @ $false )
| ( f1 @ $false )
| ~ epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ epred2_0
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f1 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ( f1 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ ( f1 @ $false )
| ( f1 @ $false )
| ~ epred1_0
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ~ epred2_0
| ( f1 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ~ epred2_0
| ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ epred2_0
| ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ epred2_0
| ( f1 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ( f1 @ $false )
| ( f1 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ( f1 @ $false )
| ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ( f1 @ $false )
| ( f1 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ epred1_0
| ~ ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ epred1_0
| ~ ( f1 @ $true )
| epred4_0 )
& ( ~ epred2_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| ~ ( f1 @ $true )
| epred4_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| epred4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
thf(c_0_28,plain,
( ( ~ x
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| ~ epred5_0 )
& ( x
| ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ epred5_0 )
& ( ~ x
| ( f2 @ $true )
| ~ ( f2 @ $false )
| ~ epred5_0 )
& ( x
| ( f2 @ $false )
| ~ ( f2 @ $false )
| ~ epred5_0 )
& ( ~ x
| x
| ~ x
| x
| epred5_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| x
| epred5_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| x
| epred5_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| x
| epred5_0 )
& ( ( f2 @ $false )
| ~ x
| x
| epred5_0 )
& ( ~ x
| x
| ( f2 @ $false )
| x
| epred5_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| x
| epred5_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred5_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred5_0 )
& ( ( f2 @ $false )
| ( f2 @ $false )
| x
| epred5_0 )
& ( ~ x
| x
| ~ x
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| ( f2 @ $true )
| epred5_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred5_0 )
& ( ( f2 @ $false )
| ~ x
| ( f2 @ $true )
| epred5_0 )
& ( ~ x
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred5_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred5_0 )
& ( ( f2 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred5_0 )
& ( ~ x
| x
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $true )
| epred5_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $true )
| epred5_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $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_19])])]) ).
thf(c_0_29,plain,
( x
| ( f2 @ ~ $true )
| ( f2 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_30,plain,
( epred8_0
<=> ( ( ( ( epred5_0
| ~ ( f2 @ $true ) )
& ( epred6_0
| ~ ( f2 @ $false ) ) )
| ( f1 @ $true ) )
& ( ( ( epred5_0
| ( f2 @ $true ) )
& ( epred6_0
| ( f2 @ $false ) ) )
| ( f1 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_19]),c_0_13]),c_0_19]),c_0_13]) ).
thf(c_0_31,plain,
( epred7_0
| ( f0 @ $true )
| ~ ( f0 @ ~ $true )
| ~ epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_32,plain,
( epred7_0
| ~ epred9_0
| ~ ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_21]) ).
thf(c_0_33,plain,
( epred1_0
| ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_34,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_35,plain,
( epred1_0
| ~ epred3_0
| ~ ( f1 @ $true ) ),
inference(cn,[status(thm)],[c_0_23]) ).
thf(c_0_36,negated_conjecture,
( ~ epred4_0
| ~ epred10_0
| ~ ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_24]) ).
thf(c_0_37,negated_conjecture,
( epred3_0
| epred9_0
| ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_25]) ).
thf(c_0_38,plain,
( epred10_0
| ~ epred8_0
| ~ ( f0 @ $true ) ),
inference(cn,[status(thm)],[c_0_26]) ).
thf(c_0_39,plain,
( ( f1 @ $true )
| epred4_0
| ~ ( f1 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_40,plain,
( epred4_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_41,plain,
( epred4_0
| ~ epred2_0
| ~ ( f1 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_42,plain,
( ( ~ x
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ epred2_0 )
& ( x
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ~ epred2_0 )
& ( ~ x
| ( f2 @ $true )
| ( f1 @ $false )
| ~ epred2_0 )
& ( x
| ( f2 @ $false )
| ( f1 @ $false )
| ~ epred2_0 )
& ( ~ x
| x
| ~ x
| x
| epred2_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| x
| epred2_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| x
| epred2_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| x
| epred2_0 )
& ( ~ ( f1 @ $false )
| ~ x
| x
| epred2_0 )
& ( ~ x
| x
| ( f2 @ $false )
| x
| epred2_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| x
| epred2_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred2_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| x
| epred2_0 )
& ( ~ ( f1 @ $false )
| ( f2 @ $false )
| x
| epred2_0 )
& ( ~ x
| x
| ~ x
| ( f2 @ $true )
| epred2_0 )
& ( ~ ( f2 @ $false )
| x
| ~ x
| ( f2 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred2_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ x
| ( f2 @ $true )
| epred2_0 )
& ( ~ ( f1 @ $false )
| ~ x
| ( f2 @ $true )
| epred2_0 )
& ( ~ x
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred2_0 )
& ( ~ ( f2 @ $false )
| x
| ( f2 @ $false )
| ( f2 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred2_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f2 @ $false )
| ( f2 @ $true )
| epred2_0 )
& ( ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred2_0 )
& ( ~ x
| x
| ~ ( f1 @ $true )
| epred2_0 )
& ( ~ ( f2 @ $false )
| x
| ~ ( f1 @ $true )
| epred2_0 )
& ( ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred2_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred2_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
thf(c_0_43,plain,
( ~ x
| ~ ( f2 @ $true )
| ~ ( f2 @ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_44,plain,
( x
| ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_45,plain,
( x
| ( f2 @ ~ $true )
| ~ epred6_0 ),
inference(cn,[status(thm)],[c_0_29]) ).
thf(c_0_46,plain,
( epred7_0
<=> ( ( ( ( epred5_0
| ~ ( f2 @ $true ) )
& ( epred6_0
| ~ ( f2 @ $false ) ) )
| ~ ( f1 @ $true ) )
& ( ( ( epred5_0
| ( f2 @ $true ) )
& ( epred6_0
| ( f2 @ $false ) ) )
| ~ ( f1 @ $false ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,c_0_19]),c_0_13]),c_0_19]),c_0_13]) ).
thf(c_0_47,plain,
( ( epred5_0
| ~ ( f2 @ $true )
| ( f1 @ $true )
| ~ epred8_0 )
& ( epred6_0
| ~ ( f2 @ $false )
| ( f1 @ $true )
| ~ epred8_0 )
& ( epred5_0
| ( f2 @ $true )
| ( f1 @ $false )
| ~ epred8_0 )
& ( epred6_0
| ( f2 @ $false )
| ( f1 @ $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 )
& ( ~ ( f1 @ $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 )
& ( ~ ( f1 @ $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 )
& ( ~ ( f1 @ $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 )
& ( ~ ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ epred5_0
| ~ ( f1 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ~ ( f1 @ $true )
| epred8_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred8_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| epred8_0 )
& ( ~ ( f1 @ $false )
| ~ ( f1 @ $true )
| epred8_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
thf(c_0_48,plain,
( epred7_0
| ~ ( f0 @ ~ $true )
| ~ epred9_0 ),
inference(csr,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_49,negated_conjecture,
( epred10_0
| ( f0 @ ~ $true )
| epred3_0
| ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_50,plain,
( epred7_0
| ( f0 @ $true )
| ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_51,plain,
( epred1_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
thf(c_0_52,negated_conjecture,
( epred9_0
| epred3_0
| ~ epred4_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_53,negated_conjecture,
( epred9_0
| epred3_0
| epred10_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
thf(c_0_54,plain,
( epred4_0
| ~ ( f1 @ ~ $true )
| ~ epred2_0 ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_55,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_56,plain,
( epred4_0
| ~ epred2_0
| ~ ( f1 @ $true ) ),
inference(cn,[status(thm)],[c_0_41]) ).
thf(c_0_57,plain,
( epred4_0
| ~ epred2_0
| ~ epred1_0
| ~ epred2_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_58,plain,
( ( f1 @ $true )
| epred1_0
| ~ x
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_59,plain,
( ( f2 @ $true )
| epred2_0
| ~ ( f1 @ ~ $true )
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_60,plain,
( ( f2 @ $true )
| ~ x
| ~ ( f2 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_61,plain,
( ~ x
| ~ epred5_0
| ~ ( f2 @ $true ) ),
inference(cn,[status(thm)],[c_0_43]) ).
thf(c_0_62,plain,
( ( f2 @ $true )
| ( f2 @ ~ $true )
| ~ x
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_63,plain,
( ( f2 @ $true )
| x
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_64,plain,
( x
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_65,plain,
( ( epred5_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred7_0 )
& ( epred6_0
| ~ ( f2 @ $false )
| ~ ( f1 @ $true )
| ~ epred7_0 )
& ( epred5_0
| ( f2 @ $true )
| ~ ( f1 @ $false )
| ~ epred7_0 )
& ( epred6_0
| ( f2 @ $false )
| ~ ( f1 @ $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 )
& ( ( f1 @ $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 )
& ( ( f1 @ $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 )
& ( ( f1 @ $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 )
& ( ( f1 @ $false )
| ( f2 @ $false )
| ( f2 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ epred5_0
| ( f1 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ epred5_0
| ( f1 @ $true )
| epred7_0 )
& ( ~ epred6_0
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred7_0 )
& ( ~ ( f2 @ $false )
| ~ ( f2 @ $true )
| ( f1 @ $true )
| epred7_0 )
& ( ( f1 @ $false )
| ( f1 @ $true )
| epred7_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
thf(c_0_66,plain,
( epred6_0
| ( f1 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_67,plain,
( epred6_0
| ( f2 @ ~ $true )
| ( f1 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_68,plain,
( epred5_0
| ( f1 @ $true )
| ~ ( f2 @ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_69,plain,
( epred5_0
| ( f2 @ $true )
| ( f1 @ ~ $true )
| ~ epred8_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_70,negated_conjecture,
( ( f0 @ $true )
| epred10_0
| epred3_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_37]) ).
thf(c_0_71,plain,
( epred7_0
| ~ epred9_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_32]) ).
thf(c_0_72,plain,
( epred9_0
| epred1_0
| ~ epred4_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_73,plain,
( epred10_0
| epred9_0
| epred1_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_53]) ).
thf(c_0_74,plain,
( epred3_0
| epred4_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
thf(c_0_75,plain,
( epred4_0
| ~ epred1_0
| ~ epred2_0 ),
inference(cn,[status(thm)],[c_0_57]) ).
thf(c_0_76,plain,
( x
| ( f1 @ $true )
| epred1_0
| ~ ( f2 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_77,plain,
( ( f2 @ ~ $true )
| x
| epred2_0
| ~ ( f1 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_78,plain,
( ( f1 @ $true )
| epred2_0
| epred1_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_34]) ).
thf(c_0_79,plain,
( epred2_0
| ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_80,plain,
( ( f1 @ ~ $true )
| ( f2 @ $true )
| epred1_0
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_81,plain,
( ~ ( f2 @ ~ $true )
| ~ x
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_82,plain,
( ( f2 @ ~ $true )
| ( f2 @ $true )
| ~ epred6_0 ),
inference(csr,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_83,plain,
( ~ ( f2 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred5_0 ),
inference(csr,[status(thm)],[c_0_64,c_0_61]) ).
thf(c_0_84,plain,
( epred6_0
| ~ ( f2 @ ~ $true )
| ~ ( f1 @ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_85,plain,
( epred6_0
| ( f2 @ ~ $true )
| ~ ( f1 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_86,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred6_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_87,plain,
( epred5_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_88,plain,
( epred5_0
| ( f2 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_89,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred5_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
thf(c_0_90,plain,
( epred3_0
| epred7_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_70]),c_0_71]) ).
thf(c_0_91,plain,
( epred1_0
| epred9_0
| ~ epred4_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_92,plain,
( epred4_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_74]),c_0_75]) ).
thf(c_0_93,plain,
( x
| epred2_0
| ~ ( f2 @ ~ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_94,plain,
( ( f1 @ ~ $true )
| ( f2 @ ~ $true )
| x
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_95,plain,
( ( f1 @ $true )
| epred2_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_34]),c_0_78]) ).
thf(c_0_96,plain,
( ( f1 @ ~ $true )
| epred1_0
| epred2_0
| ~ x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_78]) ).
thf(c_0_97,plain,
( ( f2 @ $true )
| ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_63]) ).
thf(c_0_98,plain,
( x
| ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_45]),c_0_63]) ).
thf(c_0_99,plain,
( epred6_0
| ~ ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
thf(c_0_100,plain,
( ( f1 @ ~ $true )
| epred6_0
| ~ epred7_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_67]),c_0_86]) ).
thf(c_0_101,plain,
( ( f1 @ $true )
| epred6_0
| ~ epred8_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_85]),c_0_86]) ).
thf(c_0_102,plain,
( epred5_0
| ~ ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
thf(c_0_103,plain,
( ( f1 @ ~ $true )
| epred5_0
| ~ epred7_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_69]),c_0_89]) ).
thf(c_0_104,plain,
( ( f1 @ $true )
| epred5_0
| ~ epred8_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_88]),c_0_89]) ).
thf(c_0_105,plain,
( epred7_0
| epred1_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_90]) ).
thf(c_0_106,plain,
( epred9_0
| epred1_0
| ~ epred8_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
thf(c_0_107,plain,
( epred2_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_108,plain,
( ( f1 @ ~ $true )
| epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]) ).
thf(c_0_109,plain,
( ~ epred5_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_97]),c_0_98]) ).
thf(c_0_110,plain,
( epred6_0
| ~ epred7_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
thf(c_0_111,plain,
( epred5_0
| ~ epred7_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
thf(c_0_112,plain,
( epred6_0
| ~ x
| ~ ( f2 @ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_113,plain,
( epred1_0
| epred7_0
| ~ epred8_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
thf(c_0_114,plain,
( epred1_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_95]) ).
thf(c_0_115,plain,
( ~ epred7_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
thf(c_0_116,plain,
( ( f2 @ $true )
| epred6_0
| ~ ( f2 @ ~ $true )
| ~ x ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_117,plain,
( epred6_0
| ~ x
| ~ ( f2 @ $true ) ),
inference(cn,[status(thm)],[c_0_112]) ).
thf(c_0_118,plain,
( ~ x
| ~ ( f2 @ $true )
| ~ ( f1 @ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_119,plain,
( ( f2 @ $true )
| ~ x
| ~ ( f1 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_120,plain,
( x
| ( f2 @ ~ $true )
| ~ ( f1 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_121,plain,
( epred1_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
thf(c_0_122,plain,
( epred6_0
| ~ ( f2 @ ~ $true )
| ~ x ),
inference(csr,[status(thm)],[c_0_116,c_0_117]) ).
thf(c_0_123,plain,
( x
| ~ ( f2 @ ~ $true )
| ~ ( f1 @ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_124,plain,
( ( f1 @ $true )
| epred7_0
| ~ epred6_0
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_125,plain,
( ~ ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ x
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
thf(c_0_126,plain,
( ( f1 @ $true )
| x
| epred6_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_120]),c_0_121]),c_0_86]) ).
thf(c_0_127,plain,
( ( f1 @ ~ $true )
| epred6_0
| ~ x
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_122,c_0_67]) ).
thf(c_0_128,plain,
( x
| ~ ( f1 @ $true )
| ~ epred1_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_123,c_0_45]) ).
thf(c_0_129,plain,
( ( f1 @ $true )
| x
| epred7_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_63]) ).
thf(c_0_130,plain,
( ~ ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_120]),c_0_125]) ).
thf(c_0_131,plain,
( ( f1 @ ~ $true )
| epred6_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_67]),c_0_121]),c_0_126]),c_0_127]) ).
thf(c_0_132,plain,
( ( f1 @ ~ $true )
| ( f2 @ $true )
| epred7_0
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_133,plain,
( epred7_0
| x
| ~ epred1_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
thf(c_0_134,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_135,plain,
( epred6_0
| ~ ( f1 @ ~ $true )
| ~ x
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_119]) ).
thf(c_0_136,plain,
( epred6_0
| ~ ( f1 @ $true )
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_121]) ).
thf(c_0_137,plain,
( ( f2 @ ~ $true )
| ( f2 @ ~ $true )
| x
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_138,plain,
( ( f1 @ ~ $true )
| epred7_0
| ~ epred1_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_132]),c_0_133]),c_0_134]) ).
thf(c_0_139,plain,
( ( f1 @ $true )
| epred7_0
| ~ epred6_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_119]),c_0_129]),c_0_134]) ).
thf(c_0_140,plain,
( epred6_0
| ~ x
| ~ epred1_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_127]) ).
thf(c_0_141,plain,
( x
| epred6_0
| ~ epred8_0 ),
inference(spm,[status(thm)],[c_0_136,c_0_126]) ).
thf(c_0_142,plain,
( ( f1 @ $true )
| ~ x
| ~ ( f2 @ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_143,plain,
( ( f2 @ $true )
| ( f1 @ ~ $true )
| ~ x
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_144,plain,
( epred8_0
| ~ epred6_0
| ~ ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_145,plain,
( x
| ( f1 @ $true )
| ~ ( f2 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_146,plain,
( x
| ( f2 @ $true )
| epred5_0
| ~ ( f2 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_147,plain,
( x
| epred5_0
| ( f2 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_137]) ).
thf(c_0_148,plain,
( epred7_0
| ~ epred1_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_138]),c_0_139]) ).
thf(c_0_149,plain,
( epred6_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_121]) ).
thf(c_0_150,plain,
( ( f1 @ ~ $true )
| ( f2 @ ~ $true )
| epred7_0
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_151,plain,
( x
| ( f2 @ ~ $true )
| ( f1 @ ~ $true )
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
thf(c_0_152,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| ~ x
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
thf(c_0_153,plain,
( x
| epred8_0
| ~ ( f1 @ $true )
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_63]) ).
thf(c_0_154,plain,
( ( f1 @ $true )
| x
| ~ epred2_0
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_145,c_0_45]) ).
thf(c_0_155,plain,
( epred6_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_156,plain,
( ( f2 @ $true )
| epred5_0
| x ),
inference(csr,[status(thm)],[c_0_146,c_0_147]) ).
thf(c_0_157,plain,
( epred8_0
| ~ ( f2 @ ~ $true )
| ~ ( f2 @ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_158,plain,
( epred8_0
| ~ ( f2 @ ~ $true )
| ~ epred5_0
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_159,plain,
( ( f1 @ ~ $true )
| ( f2 @ ~ $true )
| ( f2 @ $true )
| epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_160,plain,
~ epred8_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_121]),c_0_115]) ).
thf(c_0_161,plain,
( ( f1 @ ~ $true )
| epred7_0
| ~ ( f2 @ $true )
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_150]) ).
thf(c_0_162,plain,
( ( f1 @ ~ $true )
| ( f1 @ $true )
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_151]),c_0_152]) ).
thf(c_0_163,plain,
( ( f2 @ $true )
| epred8_0
| ~ ( f1 @ ~ $true )
| ~ epred6_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_164,plain,
( epred8_0
| x
| ~ epred6_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
thf(c_0_165,plain,
( ( f2 @ ~ $true )
| ( f2 @ $true )
| epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_166,plain,
( epred5_0
| x
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_147]),c_0_156]) ).
thf(c_0_167,plain,
( epred5_0
| x
| epred8_0
| ~ ( f1 @ $true ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_147]),c_0_156]) ).
thf(c_0_168,plain,
( ( f1 @ $true )
| epred5_0
| epred1_0
| x ),
inference(spm,[status(thm)],[c_0_76,c_0_147]) ).
thf(c_0_169,plain,
( ( f1 @ $true )
| epred1_0
| x
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_76,c_0_45]) ).
thf(c_0_170,plain,
( epred8_0
| ~ ( f1 @ ~ $true )
| ~ ( f1 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_171,plain,
( ( f1 @ ~ $true )
| epred7_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_134]),c_0_161]) ).
thf(c_0_172,plain,
( ( f1 @ $true )
| epred7_0
| ~ ( f2 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_173,plain,
( ( f2 @ ~ $true )
| epred8_0
| ~ ( f1 @ ~ $true )
| ~ epred5_0 ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_174,plain,
( ( f1 @ ~ $true )
| epred8_0
| ~ epred6_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_143]),c_0_153]),c_0_162]) ).
thf(c_0_175,plain,
( ( f1 @ $true )
| epred8_0
| ~ epred2_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_163]),c_0_164]),c_0_162]) ).
thf(c_0_176,plain,
( ( f2 @ $true )
| epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_165]),c_0_166]) ).
thf(c_0_177,plain,
( epred1_0
| epred8_0
| x
| epred5_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
thf(c_0_178,plain,
( epred1_0
| epred8_0
| x
| ~ epred6_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_169]) ).
thf(c_0_179,plain,
( epred8_0
| ( f0 @ ~ $true )
| ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_180,negated_conjecture,
( ~ ( f0 @ ~ $true )
| ~ epred9_0
| ~ ( f0 @ ~ $true )
| ~ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_181,negated_conjecture,
( epred10_0
| ( f0 @ ~ $true )
| epred4_0
| ( f0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_182,plain,
( ( f1 @ ~ $true )
| ( f1 @ ~ $true )
| epred3_0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_183,plain,
( ( f1 @ $true )
| epred3_0
| ~ ( f1 @ ~ $true )
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_184,plain,
( epred7_0
| ~ ( f1 @ $true )
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_160]) ).
thf(c_0_185,plain,
( ( f1 @ $true )
| epred8_0
| epred7_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_134]) ).
thf(c_0_186,plain,
( epred8_0
| ~ epred6_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_174]),c_0_175]) ).
thf(c_0_187,plain,
( epred5_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_176]),c_0_166]) ).
thf(c_0_188,plain,
( ( f1 @ ~ $true )
| epred1_0
| x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_94]),c_0_177]),c_0_34]),c_0_121]) ).
thf(c_0_189,plain,
( ( f1 @ $true )
| epred1_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_163]),c_0_178]),c_0_34]),c_0_121]) ).
thf(c_0_190,plain,
( epred2_0
| ( f1 @ ~ $true )
| ( f1 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_191,negated_conjecture,
( ~ ( f0 @ ~ $true )
| ~ ( f0 @ $true )
| ~ ( f0 @ ~ $true )
| ~ ( f0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_192,plain,
( epred8_0
| ( f0 @ $true )
| ~ ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_193,plain,
( epred8_0
| ( f0 @ ~ $true )
| ~ epred10_0 ),
inference(cn,[status(thm)],[c_0_179]) ).
thf(c_0_194,negated_conjecture,
( ~ epred3_0
| ~ epred9_0
| ~ ( f0 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_180]) ).
thf(c_0_195,negated_conjecture,
( epred4_0
| epred10_0
| ( f0 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_181]) ).
thf(c_0_196,plain,
( epred3_0
| ( f1 @ ~ $true )
| ~ epred1_0 ),
inference(cn,[status(thm)],[c_0_182]) ).
thf(c_0_197,plain,
( ( f1 @ $true )
| epred3_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[c_0_183,c_0_55]) ).
thf(c_0_198,plain,
( ( f0 @ ~ $true )
| ( f0 @ ~ $true )
| epred9_0
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_199,plain,
( ( f0 @ $true )
| epred9_0
| ~ ( f0 @ ~ $true )
| ~ epred7_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_200,plain,
( ( f0 @ ~ $true )
| ( f0 @ $true )
| epred9_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_201,plain,
( epred7_0
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_160]) ).
thf(c_0_202,plain,
( epred5_0
| epred8_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
thf(c_0_203,plain,
( epred5_0
| epred7_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_187]) ).
thf(c_0_204,plain,
( epred6_0
| ~ ( f1 @ ~ $true )
| ~ x
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_122,c_0_85]) ).
thf(c_0_205,plain,
( ( f1 @ ~ $true )
| epred1_0
| epred6_0
| ~ x ),
inference(spm,[status(thm)],[c_0_117,c_0_80]) ).
thf(c_0_206,plain,
( x
| epred1_0
| epred4_0
| ~ ( f1 @ $true ) ),
inference(spm,[status(thm)],[c_0_40,c_0_188]) ).
thf(c_0_207,plain,
( ( f1 @ $true )
| epred1_0
| x
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_85]),c_0_188]),c_0_189]) ).
thf(c_0_208,plain,
( epred2_0
| ( f1 @ $true )
| ~ ( f1 @ ~ $true )
| ~ epred4_0 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_209,plain,
( epred2_0
| ( f1 @ ~ $true )
| ~ epred4_0 ),
inference(cn,[status(thm)],[c_0_190]) ).
thf(c_0_210,negated_conjecture,
( ~ ( f0 @ $true )
| ~ ( f0 @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_191]) ).
thf(c_0_211,plain,
( ( f0 @ $true )
| epred8_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[c_0_192,c_0_193]) ).
thf(c_0_212,negated_conjecture,
( epred10_0
| epred4_0
| ~ epred3_0
| ~ epred9_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
thf(c_0_213,plain,
( epred3_0
| epred4_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_196]),c_0_197]) ).
thf(c_0_214,plain,
( epred9_0
| ( f0 @ ~ $true )
| ~ epred7_0 ),
inference(cn,[status(thm)],[c_0_198]) ).
thf(c_0_215,plain,
( ( f0 @ $true )
| epred9_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[c_0_199,c_0_200]) ).
thf(c_0_216,plain,
( epred7_0
| ~ epred2_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_160]) ).
thf(c_0_217,plain,
( epred7_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_203]) ).
thf(c_0_218,plain,
( epred1_0
| epred6_0
| ~ x
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
thf(c_0_219,plain,
( epred4_0
| epred1_0
| x
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
thf(c_0_220,plain,
( ( f1 @ ~ $true )
| epred1_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_80]),c_0_188]),c_0_34]),c_0_121]) ).
thf(c_0_221,plain,
( ( f1 @ ~ $true )
| ~ x
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_143]),c_0_152]) ).
thf(c_0_222,plain,
( ( f1 @ $true )
| ~ x
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_119]),c_0_152]) ).
thf(c_0_223,plain,
( ( f1 @ $true )
| epred2_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[c_0_208,c_0_209]) ).
thf(c_0_224,negated_conjecture,
( epred8_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_193]),c_0_211]) ).
thf(c_0_225,negated_conjecture,
( epred4_0
| epred10_0
| ~ epred9_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
thf(c_0_226,negated_conjecture,
( epred9_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_214]),c_0_215]) ).
thf(c_0_227,plain,
epred7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_114]),c_0_217]) ).
thf(c_0_228,plain,
( epred4_0
| epred6_0
| epred1_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
thf(c_0_229,plain,
( epred1_0
| epred4_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_220]),c_0_189]) ).
thf(c_0_230,plain,
( ~ epred1_0
| ~ x
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_221]),c_0_222]) ).
thf(c_0_231,plain,
( epred2_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_209]),c_0_223]) ).
thf(c_0_232,negated_conjecture,
( epred4_0
| epred8_0
| ~ epred9_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
thf(c_0_233,negated_conjecture,
epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227])]) ).
thf(c_0_234,plain,
( epred1_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_227])]),c_0_229]) ).
thf(c_0_235,plain,
( ( f1 @ ~ $true )
| ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_151]),c_0_162]),c_0_230]) ).
thf(c_0_236,plain,
( ( f1 @ $true )
| ~ epred2_0
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_120]),c_0_162]),c_0_230]) ).
thf(c_0_237,plain,
( epred8_0
| epred2_0
| ~ epred9_0
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
thf(c_0_238,plain,
( ( f1 @ ~ $true )
| epred1_0
| ~ x
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_61,c_0_80]) ).
thf(c_0_239,negated_conjecture,
epred4_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233])]),c_0_160]),c_0_234]) ).
thf(c_0_240,plain,
( ~ epred1_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_235]),c_0_236]) ).
thf(c_0_241,negated_conjecture,
( epred2_0
| epred8_0
| ~ epred1_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_226]) ).
thf(c_0_242,plain,
( ( f1 @ ~ $true )
| ( f2 @ ~ $true )
| ( f2 @ $true )
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_243,plain,
( ( f1 @ ~ $true )
| epred1_0
| ~ ( f2 @ $true )
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_94]),c_0_238]) ).
thf(c_0_244,plain,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_239])]) ).
thf(c_0_245,negated_conjecture,
( epred8_0
| ~ epred1_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
thf(c_0_246,plain,
( ( f1 @ ~ $true )
| epred1_0
| ~ epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_242]),c_0_34]),c_0_121]),c_0_243]) ).
thf(c_0_247,plain,
epred5_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_244])]),c_0_160]) ).
thf(c_0_248,negated_conjecture,
~ epred1_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_227])]),c_0_160]) ).
thf(c_0_249,plain,
( epred8_0
| ~ ( f1 @ ~ $true )
| ~ x
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_173]) ).
thf(c_0_250,plain,
( ( f2 @ ~ $true )
| epred6_0
| ~ ( f1 @ ~ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_227])]) ).
thf(c_0_251,plain,
f1 @ ~ $true,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_247])]),c_0_248]) ).
thf(c_0_252,plain,
~ epred6_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_244])]),c_0_160]) ).
thf(c_0_253,plain,
( epred1_0
| ~ x
| ~ epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_246]),c_0_160]) ).
thf(c_0_254,plain,
( ( f1 @ $true )
| x
| ~ ( f2 @ ~ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_244])]) ).
thf(c_0_255,plain,
f2 @ ~ $true,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251])]),c_0_252]) ).
thf(c_0_256,plain,
~ ( f1 @ $true ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_251])]),c_0_160]) ).
thf(c_0_257,plain,
~ x,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_247])]),c_0_248]) ).
thf(c_0_258,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255])]),c_0_256]),c_0_257]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO500^1.003 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 08:39:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.51 Running higher-order theorem proving
% 0.20/0.52 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.61 # Version: 3.1.0-ho
% 0.36/0.61 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.36/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.61 # Starting new_ho_10 with 1500s (5) cores
% 0.36/0.61 # Starting ho_unfolding_6 with 300s (1) cores
% 0.36/0.61 # Starting sh4l with 300s (1) cores
% 0.36/0.61 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.36/0.61 # new_ho_10 with pid 4446 completed with status 0
% 0.36/0.61 # Result found by new_ho_10
% 0.36/0.61 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.36/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.61 # Starting new_ho_10 with 1500s (5) cores
% 0.36/0.61 # No SInE strategy applied
% 0.36/0.61 # Search class: HGHNF-FSMM00-SFFFFFNN
% 0.36/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.61 # Starting sh3 with 811s (1) cores
% 0.36/0.61 # Starting new_ho_10 with 151s (1) cores
% 0.36/0.61 # Starting new_bool_1 with 136s (1) cores
% 0.36/0.61 # Starting new_bool_9 with 136s (1) cores
% 0.36/0.61 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.36/0.61 # new_ho_10 with pid 4454 completed with status 0
% 0.36/0.61 # Result found by new_ho_10
% 0.36/0.61 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.36/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.61 # Starting new_ho_10 with 1500s (5) cores
% 0.36/0.61 # No SInE strategy applied
% 0.36/0.61 # Search class: HGHNF-FSMM00-SFFFFFNN
% 0.36/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.36/0.61 # Starting sh3 with 811s (1) cores
% 0.36/0.61 # Starting new_ho_10 with 151s (1) cores
% 0.36/0.61 # Preprocessing time : 0.002 s
% 0.36/0.61 # Presaturation interreduction done
% 0.36/0.61
% 0.36/0.61 # Proof found!
% 0.36/0.61 # SZS status Theorem
% 0.36/0.61 # SZS output start CNFRefutation
% See solution above
% 0.36/0.61 # Parsed axioms : 5
% 0.36/0.61 # Removed by relevancy pruning/SinE : 0
% 0.36/0.61 # Initial clauses : 314
% 0.36/0.61 # Removed in clause preprocessing : 136
% 0.36/0.61 # Initial clauses in saturation : 178
% 0.36/0.61 # Processed clauses : 760
% 0.36/0.61 # ...of these trivial : 1
% 0.36/0.61 # ...subsumed : 326
% 0.36/0.61 # ...remaining for further processing : 433
% 0.36/0.61 # Other redundant clauses eliminated : 0
% 0.36/0.61 # Clauses deleted for lack of memory : 0
% 0.36/0.61 # Backward-subsumed : 191
% 0.36/0.61 # Backward-rewritten : 124
% 0.36/0.61 # Generated clauses : 1944
% 0.36/0.61 # ...of the previous two non-redundant : 1208
% 0.36/0.61 # ...aggressively subsumed : 0
% 0.36/0.61 # Contextual simplify-reflections : 167
% 0.36/0.61 # Paramodulations : 1933
% 0.36/0.61 # Factorizations : 0
% 0.36/0.61 # NegExts : 0
% 0.36/0.61 # Equation resolutions : 0
% 0.36/0.61 # Disequality decompositions : 0
% 0.36/0.61 # Total rewrite steps : 124
% 0.36/0.61 # ...of those cached : 117
% 0.36/0.61 # Propositional unsat checks : 0
% 0.36/0.61 # Propositional check models : 0
% 0.36/0.61 # Propositional check unsatisfiable : 0
% 0.36/0.61 # Propositional clauses : 0
% 0.36/0.61 # Propositional clauses after purity: 0
% 0.36/0.61 # Propositional unsat core size : 0
% 0.36/0.61 # Propositional preprocessing time : 0.000
% 0.36/0.61 # Propositional encoding time : 0.000
% 0.36/0.61 # Propositional solver time : 0.000
% 0.36/0.61 # Success case prop preproc time : 0.000
% 0.36/0.61 # Success case prop encoding time : 0.000
% 0.36/0.61 # Success case prop solver time : 0.000
% 0.36/0.61 # Current number of processed clauses : 19
% 0.36/0.61 # Positive orientable unit clauses : 7
% 0.36/0.61 # Positive unorientable unit clauses: 0
% 0.36/0.61 # Negative unit clauses : 5
% 0.36/0.61 # Non-unit-clauses : 7
% 0.36/0.61 # Current number of unprocessed clauses: 635
% 0.36/0.61 # ...number of literals in the above : 3053
% 0.36/0.61 # Current number of archived formulas : 0
% 0.36/0.61 # Current number of archived clauses : 414
% 0.36/0.61 # Clause-clause subsumption calls (NU) : 25079
% 0.36/0.61 # Rec. Clause-clause subsumption calls : 8067
% 0.36/0.61 # Non-unit clause-clause subsumptions : 641
% 0.36/0.61 # Unit Clause-clause subsumption calls : 542
% 0.36/0.61 # Rewrite failures with RHS unbound : 0
% 0.36/0.61 # BW rewrite match attempts : 7
% 0.36/0.61 # BW rewrite match successes : 7
% 0.36/0.61 # Condensation attempts : 760
% 0.36/0.61 # Condensation successes : 0
% 0.36/0.61 # Termbank termtop insertions : 29726
% 0.36/0.61 # Search garbage collected termcells : 1744
% 0.36/0.61
% 0.36/0.61 # -------------------------------------------------
% 0.36/0.61 # User time : 0.075 s
% 0.36/0.61 # System time : 0.007 s
% 0.36/0.61 # Total time : 0.082 s
% 0.36/0.61 # Maximum resident set size: 2232 pages
% 0.36/0.61
% 0.36/0.61 # -------------------------------------------------
% 0.36/0.61 # User time : 0.332 s
% 0.36/0.61 # System time : 0.021 s
% 0.36/0.61 # Total time : 0.353 s
% 0.36/0.61 # Maximum resident set size: 1752 pages
% 0.36/0.61 % E---3.1 exiting
% 0.36/0.61 % E exiting
%------------------------------------------------------------------------------