TSTP Solution File: SYO606+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO606+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.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 : 600s
% DateTime : Thu Jul 21 17:35:56 EDT 2022
% Result : Theorem 1.36s 1.62s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 47
% Syntax : Number of formulae : 743 ( 163 unt; 38 typ; 0 def)
% Number of atoms : 18965 (4875 equ; 0 cnn)
% Maximal formula atoms : 41 ( 26 avg)
% Number of connectives : 32908 (4271 ~;8306 |; 186 &;20127 @)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 31 >; 0 *; 0 +; 0 <<)
% Number of symbols : 41 ( 38 usr; 21 con; 0-2 aty)
% Number of variables : 5158 ( 0 ^5046 !; 112 ?;5158 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g_both,type,
g_both: $i > $i > $o ).
thf(tp_g_false,type,
g_false: $i > $i > $o ).
thf(tp_g_false_only,type,
g_false_only: $i > $i > $o ).
thf(tp_g_true,type,
g_true: $i > $i > $o ).
thf(tp_g_true_only,type,
g_true_only: $i > $i > $o ).
thf(tp_h_both,type,
h_both: $i > $i > $o ).
thf(tp_h_false,type,
h_false: $i > $i > $o ).
thf(tp_h_false_only,type,
h_false_only: $i > $i > $o ).
thf(tp_h_true,type,
h_true: $i > $i > $o ).
thf(tp_h_true_only,type,
h_true_only: $i > $i > $o ).
thf(tp_sK10_A,type,
sK10_A: $i ).
thf(tp_sK11_SY59,type,
sK11_SY59: $i ).
thf(tp_sK12_B,type,
sK12_B: $i > $i ).
thf(tp_sK13_C,type,
sK13_C: $i > $i > $i ).
thf(tp_sK14_A,type,
sK14_A: $i ).
thf(tp_sK15_SY88,type,
sK15_SY88: $i ).
thf(tp_sK16_SY86,type,
sK16_SY86: $i ).
thf(tp_sK17_SY83,type,
sK17_SY83: $i ).
thf(tp_sK18_SY82,type,
sK18_SY82: $i ).
thf(tp_sK19_SY76,type,
sK19_SY76: $i ).
thf(tp_sK1_C,type,
sK1_C: $i > $i > $i ).
thf(tp_sK20_SY73,type,
sK20_SY73: $i ).
thf(tp_sK21_SY72,type,
sK21_SY72: $i ).
thf(tp_sK22_SY71,type,
sK22_SY71: $i ).
thf(tp_sK23_SY69,type,
sK23_SY69: $i ).
thf(tp_sK24_B,type,
sK24_B: $i > $i ).
thf(tp_sK25_B,type,
sK25_B: $i > $i ).
thf(tp_sK26_REN,type,
sK26_REN: $o ).
thf(tp_sK27_REN,type,
sK27_REN: $o ).
thf(tp_sK28_REN,type,
sK28_REN: $o ).
thf(tp_sK2_B,type,
sK2_B: $i > $i ).
thf(tp_sK3_B,type,
sK3_B: $i > $i ).
thf(tp_sK4_B,type,
sK4_B: $i > $i ).
thf(tp_sK5_B,type,
sK5_B: $i > $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_SY55,type,
sK7_SY55: $i ).
thf(tp_sK8_A,type,
sK8_A: $i ).
thf(tp_sK9_SY57,type,
sK9_SY57: $i ).
thf(1,axiom,
! [X_2: $i,X_1: $i] :
( ( h_true_only @ X_2 @ X_1 )
| ( h_both @ X_2 @ X_1 )
| ( h_false_only @ X_2 @ X_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_h) ).
thf(2,axiom,
! [X_2: $i,X_1: $i] :
( ( h_false_only @ X_2 @ X_1 )
<=> ( ( h_false @ X_2 @ X_1 )
& ~ ( h_true @ X_2 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_h) ).
thf(3,axiom,
! [X_2: $i,X_1: $i] :
( ( h_both @ X_2 @ X_1 )
<=> ( ( h_true @ X_2 @ X_1 )
& ( h_false @ X_2 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_h) ).
thf(4,axiom,
! [X_2: $i,X_1: $i] :
( ( h_true_only @ X_2 @ X_1 )
<=> ( ( h_true @ X_2 @ X_1 )
& ~ ( h_false @ X_2 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_h) ).
thf(5,axiom,
! [X_2: $i,X_1: $i] :
( ( g_true_only @ X_2 @ X_1 )
| ( g_both @ X_2 @ X_1 )
| ( g_false_only @ X_2 @ X_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
thf(6,axiom,
! [X_2: $i,X_1: $i] :
( ( g_false_only @ X_2 @ X_1 )
<=> ( ( g_false @ X_2 @ X_1 )
& ~ ( g_true @ X_2 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
thf(7,axiom,
! [X_2: $i,X_1: $i] :
( ( g_both @ X_2 @ X_1 )
<=> ( ( g_true @ X_2 @ X_1 )
& ( g_false @ X_2 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
thf(8,axiom,
! [X_2: $i,X_1: $i] :
( ( g_true_only @ X_2 @ X_1 )
<=> ( ( g_true @ X_2 @ X_1 )
& ~ ( g_false @ X_2 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
thf(9,conjecture,
( ( ! [A: $i] :
( ! [B: $i] : ( g_false_only @ A @ B )
| ? [B: $i] : ( h_true_only @ A @ B ) )
& ! [A: $i,B: $i] :
? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
| ( ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
& ~ ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ( g_both @ A @ B )
& ( h_both @ A @ C ) )
& ~ ? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
& ~ ? [B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
& ~ ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc5) ).
thf(10,negated_conjecture,
( ( ( ! [A: $i] :
( ! [B: $i] : ( g_false_only @ A @ B )
| ? [B: $i] : ( h_true_only @ A @ B ) )
& ! [A: $i,B: $i] :
? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
| ( ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
& ~ ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ( g_both @ A @ B )
& ( h_both @ A @ C ) )
& ~ ? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
& ~ ? [B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
& ~ ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( ( ! [A: $i] :
( ! [B: $i] : ( g_false_only @ A @ B )
| ? [B: $i] : ( h_true_only @ A @ B ) )
& ! [A: $i,B: $i] :
? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
| ( ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
& ~ ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ( g_both @ A @ B )
& ( h_both @ A @ C ) )
& ~ ? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
& ~ ? [B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
& ~ ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( h_true_only @ X_2 @ X_1 )
| ( h_both @ X_2 @ X_1 )
| ( h_false_only @ X_2 @ X_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( h_false_only @ X_2 @ X_1 )
<=> ( ( h_false @ X_2 @ X_1 )
& ~ ( h_true @ X_2 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( h_both @ X_2 @ X_1 )
<=> ( ( h_true @ X_2 @ X_1 )
& ( h_false @ X_2 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( h_true_only @ X_2 @ X_1 )
<=> ( ( h_true @ X_2 @ X_1 )
& ~ ( h_false @ X_2 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( g_true_only @ X_2 @ X_1 )
| ( g_both @ X_2 @ X_1 )
| ( g_false_only @ X_2 @ X_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( g_false_only @ X_2 @ X_1 )
<=> ( ( g_false @ X_2 @ X_1 )
& ~ ( g_true @ X_2 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( g_both @ X_2 @ X_1 )
<=> ( ( g_true @ X_2 @ X_1 )
& ( g_false @ X_2 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( g_true_only @ X_2 @ X_1 )
<=> ( ( g_true @ X_2 @ X_1 )
& ~ ( g_false @ X_2 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ~ ( ( ! [A: $i] :
( ! [B: $i] : ( g_false_only @ A @ B )
| ? [B: $i] : ( h_true_only @ A @ B ) )
& ! [A: $i,B: $i] :
? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
| ( ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
& ~ ? [A: $i] :
( ( ? [B: $i] : ( g_true_only @ A @ B )
& ( ( ? [B: $i] : ( h_both @ A @ B )
& ~ ? [B: $i] : ( h_true_only @ A @ B ) )
| ! [B: $i] : ( h_false_only @ A @ B ) ) )
| ( ? [B: $i] : ( g_both @ A @ B )
& ~ ? [B: $i] : ( g_true_only @ A @ B )
& ! [B: $i] : ( h_false_only @ A @ B ) ) )
& ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ( g_both @ A @ B )
& ( h_both @ A @ C ) )
& ~ ? [C: $i] :
( ( g_false_only @ A @ B )
| ( h_true_only @ A @ C ) ) )
& ~ ? [B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) )
& ~ ? [A: $i,B: $i] :
! [C: $i] :
( ( ( g_true_only @ A @ B )
& ( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) ) )
| ( ( g_both @ A @ B )
& ( h_false_only @ A @ C ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( ( ! [A: $i] :
( ! [B: $i] :
~ ( g_both @ A @ B )
| ( g_true_only @ A @ ( sK25_B @ A ) )
| ! [B: $i] :
~ ( h_both @ A @ B )
| ( h_true_only @ A @ ( sK24_B @ A ) ) )
| ( ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SY70: $i] : ( h_false_only @ sK14_A @ SY70 ) )
& ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
& ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SY74: $i] :
~ ( g_true_only @ sK14_A @ SY74 ) )
& ( ! [SY75: $i] : ( h_false_only @ sK14_A @ SY75 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SY77: $i] : ( h_false_only @ sK14_A @ SY77 ) )
& ( ! [SY78: $i] : ( h_false_only @ sK14_A @ SY78 )
| ! [SY79: $i] :
~ ( h_true_only @ sK14_A @ SY79 )
| ! [SY80: $i] : ( h_false_only @ sK14_A @ SY80 ) )
& ( ! [SY81: $i] : ( h_false_only @ sK14_A @ SY81 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
& ( ! [SY84: $i] : ( h_false_only @ sK14_A @ SY84 )
| ! [SY85: $i] :
~ ( h_true_only @ sK14_A @ SY85 )
| ( g_both @ sK14_A @ sK16_SY86 ) )
& ( ! [SY87: $i] : ( h_false_only @ sK14_A @ SY87 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SY89: $i] :
~ ( g_true_only @ sK14_A @ SY89 ) )
& ( ! [SY90: $i] : ( h_false_only @ sK14_A @ SY90 )
| ! [SY91: $i] :
~ ( h_true_only @ sK14_A @ SY91 )
| ! [SY92: $i] :
~ ( g_true_only @ sK14_A @ SY92 ) ) )
| ! [A: $i] :
( ! [B: $i] :
( ~ ( g_both @ A @ B )
| ! [C: $i] :
~ ( h_both @ A @ C )
| ( g_false_only @ A @ B )
| ( h_true_only @ A @ ( sK13_C @ B @ A ) ) )
| ( ( ( g_true_only @ A @ ( sK12_B @ A ) )
| ( g_both @ A @ ( sK12_B @ A ) ) )
& ( ( g_true_only @ A @ ( sK12_B @ A ) )
| ! [C: $i] : ( h_false_only @ A @ C ) )
& ( ! [C: $i] :
( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) )
| ( g_both @ A @ ( sK12_B @ A ) ) )
& ! [C: $i] :
( ( h_both @ A @ C )
| ( h_false_only @ A @ C )
| ( h_false_only @ A @ C ) ) ) )
| sK28_REN )
& ( sK28_REN
=> ( ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
& ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SY60: $i] : ( h_false_only @ sK10_A @ SY60 ) )
& ( ! [SY61: $i] :
( ( h_both @ sK10_A @ SY61 )
| ( h_false_only @ sK10_A @ SY61 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
& ! [SY62: $i] :
( ( h_both @ sK10_A @ SY62 )
| ( h_false_only @ sK10_A @ SY62 )
| ( h_false_only @ sK10_A @ SY62 ) ) ) )
& ( sK27_REN
| ( ~ ( g_false_only @ sK6_A @ sK7_SY55 )
& ! [SY56: $i] :
~ ( h_true_only @ sK6_A @ SY56 ) ) )
& ( sK27_REN
=> ( ~ ( g_false_only @ sK8_A @ sK9_SY57 )
& ! [SY58: $i] :
~ ( h_true_only @ sK8_A @ SY58 ) ) )
& ( sK26_REN
| ! [A: $i,B: $i] :
( ( ~ ( g_true_only @ A @ B )
| ~ ( h_both @ A @ ( sK1_C @ B @ A ) ) )
& ( ~ ( g_true_only @ A @ B )
| ~ ( h_false_only @ A @ ( sK1_C @ B @ A ) ) )
& ( ~ ( g_both @ A @ B )
| ~ ( h_false_only @ A @ ( sK1_C @ B @ A ) ) ) ) )
& ( sK26_REN
=> ( ! [A: $i] :
( ! [B: $i] :
~ ( g_true_only @ A @ B )
| ~ ( h_false_only @ A @ ( sK5_B @ A ) ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( g_true_only @ A @ B )
| ! [B: $i] :
~ ( h_both @ A @ B )
| ( h_true_only @ A @ ( sK4_B @ A ) ) )
& ! [A: $i] :
( ~ ( h_false_only @ A @ ( sK3_B @ A ) )
| ! [B: $i] :
~ ( g_both @ A @ B )
| ( g_true_only @ A @ ( sK2_B @ A ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(22,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( h_false_only @ X_2 @ X_1 )
| ( h_both @ X_2 @ X_1 )
| ( h_true_only @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(23,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( h_false @ X_2 @ X_1 )
| ( h_true @ X_2 @ X_1 )
| ( h_false_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_false_only @ X_2 @ X_1 )
| ( h_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_false_only @ X_2 @ X_1 )
| ~ ( h_true @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(24,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( h_false @ X_2 @ X_1 )
| ~ ( h_true @ X_2 @ X_1 )
| ( h_both @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_both @ X_2 @ X_1 )
| ( h_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_both @ X_2 @ X_1 )
| ( h_true @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(25,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( h_true @ X_2 @ X_1 )
| ( h_false @ X_2 @ X_1 )
| ( h_true_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_true_only @ X_2 @ X_1 )
| ( h_true @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_true_only @ X_2 @ X_1 )
| ~ ( h_false @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(26,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( g_false_only @ X_2 @ X_1 )
| ( g_both @ X_2 @ X_1 )
| ( g_true_only @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(27,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( g_false @ X_2 @ X_1 )
| ( g_true @ X_2 @ X_1 )
| ( g_false_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_false_only @ X_2 @ X_1 )
| ( g_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_false_only @ X_2 @ X_1 )
| ~ ( g_true @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(28,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( g_false @ X_2 @ X_1 )
| ~ ( g_true @ X_2 @ X_1 )
| ( g_both @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_both @ X_2 @ X_1 )
| ( g_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_both @ X_2 @ X_1 )
| ( g_true @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(29,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( g_true @ X_2 @ X_1 )
| ( g_false @ X_2 @ X_1 )
| ( g_true_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_true_only @ X_2 @ X_1 )
| ( g_true @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_true_only @ X_2 @ X_1 )
| ~ ( g_false @ X_2 @ X_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(30,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( g_true @ X_2 @ X_1 )
| ( g_false @ X_2 @ X_1 )
| ( g_true_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_true_only @ X_2 @ X_1 )
| ( g_true @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_true_only @ X_2 @ X_1 )
| ~ ( g_false @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(31,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( g_false @ X_2 @ X_1 )
| ~ ( g_true @ X_2 @ X_1 )
| ( g_both @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_both @ X_2 @ X_1 )
| ( g_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_both @ X_2 @ X_1 )
| ( g_true @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(32,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( g_false @ X_2 @ X_1 )
| ( g_true @ X_2 @ X_1 )
| ( g_false_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_false_only @ X_2 @ X_1 )
| ( g_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( g_false_only @ X_2 @ X_1 )
| ~ ( g_true @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(33,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( g_false_only @ X_2 @ X_1 )
| ( g_both @ X_2 @ X_1 )
| ( g_true_only @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(34,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( h_true @ X_2 @ X_1 )
| ( h_false @ X_2 @ X_1 )
| ( h_true_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_true_only @ X_2 @ X_1 )
| ( h_true @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_true_only @ X_2 @ X_1 )
| ~ ( h_false @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(35,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( h_false @ X_2 @ X_1 )
| ~ ( h_true @ X_2 @ X_1 )
| ( h_both @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_both @ X_2 @ X_1 )
| ( h_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_both @ X_2 @ X_1 )
| ( h_true @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(36,plain,
( ( ! [X_2: $i,X_1: $i] :
( ~ ( h_false @ X_2 @ X_1 )
| ( h_true @ X_2 @ X_1 )
| ( h_false_only @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_false_only @ X_2 @ X_1 )
| ( h_false @ X_2 @ X_1 ) )
& ! [X_2: $i,X_1: $i] :
( ~ ( h_false_only @ X_2 @ X_1 )
| ~ ( h_true @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(37,plain,
( ( ! [X_2: $i,X_1: $i] :
( ( h_false_only @ X_2 @ X_1 )
| ( h_both @ X_2 @ X_1 )
| ( h_true_only @ X_2 @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(38,plain,
( ( ( ! [A: $i] :
( ! [B: $i] :
~ ( g_both @ A @ B )
| ( g_true_only @ A @ ( sK25_B @ A ) )
| ! [B: $i] :
~ ( h_both @ A @ B )
| ( h_true_only @ A @ ( sK24_B @ A ) ) )
| ( ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SY70: $i] : ( h_false_only @ sK14_A @ SY70 ) )
& ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
& ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SY74: $i] :
~ ( g_true_only @ sK14_A @ SY74 ) )
& ( ! [SY75: $i] : ( h_false_only @ sK14_A @ SY75 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SY77: $i] : ( h_false_only @ sK14_A @ SY77 ) )
& ( ! [SY78: $i] : ( h_false_only @ sK14_A @ SY78 )
| ! [SY79: $i] :
~ ( h_true_only @ sK14_A @ SY79 )
| ! [SY80: $i] : ( h_false_only @ sK14_A @ SY80 ) )
& ( ! [SY81: $i] : ( h_false_only @ sK14_A @ SY81 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
& ( ! [SY84: $i] : ( h_false_only @ sK14_A @ SY84 )
| ! [SY85: $i] :
~ ( h_true_only @ sK14_A @ SY85 )
| ( g_both @ sK14_A @ sK16_SY86 ) )
& ( ! [SY87: $i] : ( h_false_only @ sK14_A @ SY87 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SY89: $i] :
~ ( g_true_only @ sK14_A @ SY89 ) )
& ( ! [SY90: $i] : ( h_false_only @ sK14_A @ SY90 )
| ! [SY91: $i] :
~ ( h_true_only @ sK14_A @ SY91 )
| ! [SY92: $i] :
~ ( g_true_only @ sK14_A @ SY92 ) ) )
| ! [A: $i] :
( ! [B: $i] :
( ~ ( g_both @ A @ B )
| ! [C: $i] :
~ ( h_both @ A @ C )
| ( g_false_only @ A @ B )
| ( h_true_only @ A @ ( sK13_C @ B @ A ) ) )
| ( ( ( g_true_only @ A @ ( sK12_B @ A ) )
| ( g_both @ A @ ( sK12_B @ A ) ) )
& ( ( g_true_only @ A @ ( sK12_B @ A ) )
| ! [C: $i] : ( h_false_only @ A @ C ) )
& ( ! [C: $i] :
( ( h_both @ A @ C )
| ( h_false_only @ A @ C ) )
| ( g_both @ A @ ( sK12_B @ A ) ) )
& ! [C: $i] :
( ( h_both @ A @ C )
| ( h_false_only @ A @ C )
| ( h_false_only @ A @ C ) ) ) )
| sK28_REN )
& ( sK28_REN
=> ( ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
& ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SY60: $i] : ( h_false_only @ sK10_A @ SY60 ) )
& ( ! [SY61: $i] :
( ( h_both @ sK10_A @ SY61 )
| ( h_false_only @ sK10_A @ SY61 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
& ! [SY62: $i] :
( ( h_both @ sK10_A @ SY62 )
| ( h_false_only @ sK10_A @ SY62 )
| ( h_false_only @ sK10_A @ SY62 ) ) ) )
& ( sK27_REN
| ( ~ ( g_false_only @ sK6_A @ sK7_SY55 )
& ! [SY56: $i] :
~ ( h_true_only @ sK6_A @ SY56 ) ) )
& ( sK27_REN
=> ( ~ ( g_false_only @ sK8_A @ sK9_SY57 )
& ! [SY58: $i] :
~ ( h_true_only @ sK8_A @ SY58 ) ) )
& ( sK26_REN
| ! [A: $i,B: $i] :
( ( ~ ( g_true_only @ A @ B )
| ~ ( h_both @ A @ ( sK1_C @ B @ A ) ) )
& ( ~ ( g_true_only @ A @ B )
| ~ ( h_false_only @ A @ ( sK1_C @ B @ A ) ) )
& ( ~ ( g_both @ A @ B )
| ~ ( h_false_only @ A @ ( sK1_C @ B @ A ) ) ) ) )
& ( sK26_REN
=> ( ! [A: $i] :
( ! [B: $i] :
~ ( g_true_only @ A @ B )
| ~ ( h_false_only @ A @ ( sK5_B @ A ) ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( g_true_only @ A @ B )
| ! [B: $i] :
~ ( h_both @ A @ B )
| ( h_true_only @ A @ ( sK4_B @ A ) ) )
& ! [A: $i] :
( ~ ( h_false_only @ A @ ( sK3_B @ A ) )
| ! [B: $i] :
~ ( g_both @ A @ B )
| ( g_true_only @ A @ ( sK2_B @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(39,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 )
| ( h_both @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ~ ( h_false @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(42,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 )
| ( g_both @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(43,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) )
| sK28_REN )
| ~ ( ~ sK28_REN
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) )
| ~ ~ ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(44,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(45,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 )
| ( g_false_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(46,plain,
! [SV1: $i] :
( ( ! [SY93: $i] :
( ( g_false_only @ SV1 @ SY93 )
| ( g_both @ SV1 @ SY93 )
| ( g_true_only @ SV1 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(47,plain,
! [SV2: $i] :
( ( ! [SY94: $i] :
( ( h_false_only @ SV2 @ SY94 )
| ( h_both @ SV2 @ SY94 )
| ( h_true_only @ SV2 @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(48,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 )
| ( h_both @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(49,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(50,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ~ ( h_false @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(51,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 )
| ( g_both @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(52,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) )
| sK28_REN )
| ~ ( ~ sK28_REN
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) )
| ~ ~ ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(53,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(54,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 )
| ( g_false_only @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(55,plain,
! [SV3: $i,SV1: $i] :
( ( ( g_false_only @ SV1 @ SV3 )
| ( g_both @ SV1 @ SV3 )
| ( g_true_only @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(56,plain,
! [SV4: $i,SV2: $i] :
( ( ( h_false_only @ SV2 @ SV4 )
| ( h_both @ SV2 @ SV4 )
| ( h_true_only @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(57,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 )
| ( h_both @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(58,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(60,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(61,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(62,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ~ ( h_false @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(63,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 )
| ( g_both @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(64,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(65,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) )
| sK28_REN )
| ~ ( ~ sK28_REN
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(66,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) )
| ~ ~ ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(67,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(68,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(69,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 )
| ( g_false_only @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(70,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(71,plain,
! [SV3: $i,SV1: $i] :
( ( ( g_false_only @ SV1 @ SV3 )
= $true )
| ( ( ( g_both @ SV1 @ SV3 )
| ( g_true_only @ SV1 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(72,plain,
! [SV4: $i,SV2: $i] :
( ( ( h_false_only @ SV2 @ SV4 )
= $true )
| ( ( ( h_both @ SV2 @ SV4 )
| ( h_true_only @ SV2 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 )
| ( h_both @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(74,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_false @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(76,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_true @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(78,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ~ ( h_false @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(79,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 )
| ( g_both @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(80,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(81,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) )
| sK28_REN )
| ~ ( ~ sK28_REN
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(82,plain,
( ( ~ ( ~ ~ ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) )
| ~ ~ ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_true @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(84,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(85,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 )
| ( g_false_only @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(86,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(87,plain,
! [SV3: $i,SV1: $i] :
( ( ( g_both @ SV1 @ SV3 )
= $true )
| ( ( g_true_only @ SV1 @ SV3 )
= $true )
| ( ( g_false_only @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(88,plain,
! [SV4: $i,SV2: $i] :
( ( ( h_both @ SV2 @ SV4 )
= $true )
| ( ( h_true_only @ SV2 @ SV4 )
= $true )
| ( ( h_false_only @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(89,plain,
! [SV5: $i] :
( ( ! [SY95: $i] :
( ~ ( h_false @ SV5 @ SY95 )
| ~ ( h_true @ SV5 @ SY95 )
| ( h_both @ SV5 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(90,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(91,plain,
! [SV6: $i] :
( ( ! [SY96: $i] :
( ~ ( h_false @ SV6 @ SY96 )
| ( h_true @ SV6 @ SY96 )
| ( h_false_only @ SV6 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(92,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(93,plain,
! [SV7: $i] :
( ( ! [SY97: $i] :
( ~ ( h_true @ SV7 @ SY97 )
| ( h_false @ SV7 @ SY97 )
| ( h_true_only @ SV7 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(94,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ~ ( h_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(95,plain,
! [SV8: $i] :
( ( ! [SY98: $i] :
( ~ ( g_false @ SV8 @ SY98 )
| ~ ( g_true @ SV8 @ SY98 )
| ( g_both @ SV8 @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(96,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(97,plain,
( ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) )
| sK28_REN )
| ~ ( ~ sK28_REN
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(98,plain,
( ( ~ ~ ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) )
| ~ ~ ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(99,plain,
! [SV9: $i] :
( ( ! [SY99: $i] :
( ~ ( g_true @ SV9 @ SY99 )
| ( g_false @ SV9 @ SY99 )
| ( g_true_only @ SV9 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(100,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(101,plain,
! [SV10: $i] :
( ( ! [SY100: $i] :
( ~ ( g_false @ SV10 @ SY100 )
| ( g_true @ SV10 @ SY100 )
| ( g_false_only @ SV10 @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(102,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(103,plain,
! [SV11: $i,SV5: $i] :
( ( ~ ( h_false @ SV5 @ SV11 )
| ~ ( h_true @ SV5 @ SV11 )
| ( h_both @ SV5 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(104,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(105,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(106,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( h_false @ SV6 @ SV12 )
| ( h_true @ SV6 @ SV12 )
| ( h_false_only @ SV6 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(107,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(108,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(109,plain,
! [SV13: $i,SV7: $i] :
( ( ~ ( h_true @ SV7 @ SV13 )
| ( h_false @ SV7 @ SV13 )
| ( h_true_only @ SV7 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(110,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(111,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ~ ( h_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(112,plain,
! [SV14: $i,SV8: $i] :
( ( ~ ( g_false @ SV8 @ SV14 )
| ~ ( g_true @ SV8 @ SV14 )
| ( g_both @ SV8 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(113,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(114,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(115,plain,
( ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) )
| sK28_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(116,plain,
( ( ~ ( ~ sK28_REN
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(117,plain,
( ( ~ ~ ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(118,plain,
( ( ~ ~ ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(119,plain,
! [SV15: $i,SV9: $i] :
( ( ~ ( g_true @ SV9 @ SV15 )
| ( g_false @ SV9 @ SV15 )
| ( g_true_only @ SV9 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(120,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(121,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(122,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ( g_false @ SV10 @ SV16 )
| ( g_true @ SV10 @ SV16 )
| ( g_false_only @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(123,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(124,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(125,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( h_false @ SV5 @ SV11 )
| ~ ( h_true @ SV5 @ SV11 ) )
= $true )
| ( ( h_both @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(126,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(127,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_both @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(128,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( h_false @ SV6 @ SV12 )
| ( h_true @ SV6 @ SV12 ) )
= $true )
| ( ( h_false_only @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(129,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ( h_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(130,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_false_only @ SX0 @ SX1 )
| ~ ( h_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(131,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( h_true @ SV7 @ SV13 )
| ( h_false @ SV7 @ SV13 ) )
= $true )
| ( ( h_true_only @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(132,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ( h_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(133,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( h_true_only @ SX0 @ SX1 )
| ~ ( h_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(134,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( g_false @ SV8 @ SV14 )
| ~ ( g_true @ SV8 @ SV14 ) )
= $true )
| ( ( g_both @ SV8 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(135,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(136,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(137,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) )
| sK28_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(138,plain,
( ( ~ sK28_REN
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(139,plain,
( ( ~ ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(140,plain,
( ( ~ ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(141,plain,
! [SV15: $i,SV9: $i] :
( ( ( ~ ( g_true @ SV9 @ SV15 )
| ( g_false @ SV9 @ SV15 ) )
= $true )
| ( ( g_true_only @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(142,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(143,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(144,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( g_false @ SV10 @ SV16 )
| ( g_true @ SV10 @ SV16 ) )
= $true )
| ( ( g_false_only @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(145,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(146,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(147,plain,
! [SV11: $i,SV5: $i] :
( ( ( ~ ( h_false @ SV5 @ SV11 ) )
= $true )
| ( ( ~ ( h_true @ SV5 @ SV11 ) )
= $true )
| ( ( h_both @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(148,plain,
! [SV17: $i] :
( ( ! [SY101: $i] :
( ~ ( h_both @ SV17 @ SY101 )
| ( h_false @ SV17 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(149,plain,
! [SV18: $i] :
( ( ! [SY102: $i] :
( ~ ( h_both @ SV18 @ SY102 )
| ( h_true @ SV18 @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(150,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( h_false @ SV6 @ SV12 ) )
= $true )
| ( ( h_true @ SV6 @ SV12 )
= $true )
| ( ( h_false_only @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(151,plain,
! [SV19: $i] :
( ( ! [SY103: $i] :
( ~ ( h_false_only @ SV19 @ SY103 )
| ( h_false @ SV19 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(152,plain,
! [SV20: $i] :
( ( ! [SY104: $i] :
( ~ ( h_false_only @ SV20 @ SY104 )
| ~ ( h_true @ SV20 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(153,plain,
! [SV13: $i,SV7: $i] :
( ( ( ~ ( h_true @ SV7 @ SV13 ) )
= $true )
| ( ( h_false @ SV7 @ SV13 )
= $true )
| ( ( h_true_only @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(154,plain,
! [SV21: $i] :
( ( ! [SY105: $i] :
( ~ ( h_true_only @ SV21 @ SY105 )
| ( h_true @ SV21 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(155,plain,
! [SV22: $i] :
( ( ! [SY106: $i] :
( ~ ( h_true_only @ SV22 @ SY106 )
| ~ ( h_false @ SV22 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(156,plain,
! [SV14: $i,SV8: $i] :
( ( ( ~ ( g_false @ SV8 @ SV14 ) )
= $true )
| ( ( ~ ( g_true @ SV8 @ SV14 ) )
= $true )
| ( ( g_both @ SV8 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(157,plain,
! [SV23: $i] :
( ( ! [SY107: $i] :
( ~ ( g_both @ SV23 @ SY107 )
| ( g_false @ SV23 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(158,plain,
! [SV24: $i] :
( ( ! [SY108: $i] :
( ~ ( g_both @ SV24 @ SY108 )
| ( g_true @ SV24 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(159,plain,
( ( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
| ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(160,plain,
( ( ( ~ sK28_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(161,plain,
( ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
| ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(162,plain,
( ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
| ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(163,plain,
! [SV15: $i,SV9: $i] :
( ( ( ~ ( g_true @ SV9 @ SV15 ) )
= $true )
| ( ( g_false @ SV9 @ SV15 )
= $true )
| ( ( g_true_only @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(164,plain,
! [SV25: $i] :
( ( ! [SY109: $i] :
( ~ ( g_true_only @ SV25 @ SY109 )
| ( g_true @ SV25 @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(165,plain,
! [SV26: $i] :
( ( ! [SY110: $i] :
( ~ ( g_true_only @ SV26 @ SY110 )
| ~ ( g_false @ SV26 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(166,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( g_false @ SV10 @ SV16 ) )
= $true )
| ( ( g_true @ SV10 @ SV16 )
= $true )
| ( ( g_false_only @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(167,plain,
! [SV27: $i] :
( ( ! [SY111: $i] :
( ~ ( g_false_only @ SV27 @ SY111 )
| ( g_false @ SV27 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(168,plain,
! [SV28: $i] :
( ( ! [SY112: $i] :
( ~ ( g_false_only @ SV28 @ SY112 )
| ~ ( g_true @ SV28 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(169,plain,
! [SV11: $i,SV5: $i] :
( ( ( h_false @ SV5 @ SV11 )
= $false )
| ( ( ~ ( h_true @ SV5 @ SV11 ) )
= $true )
| ( ( h_both @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(170,plain,
! [SV29: $i,SV17: $i] :
( ( ~ ( h_both @ SV17 @ SV29 )
| ( h_false @ SV17 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(171,plain,
! [SV30: $i,SV18: $i] :
( ( ~ ( h_both @ SV18 @ SV30 )
| ( h_true @ SV18 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(172,plain,
! [SV12: $i,SV6: $i] :
( ( ( h_false @ SV6 @ SV12 )
= $false )
| ( ( h_true @ SV6 @ SV12 )
= $true )
| ( ( h_false_only @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(173,plain,
! [SV31: $i,SV19: $i] :
( ( ~ ( h_false_only @ SV19 @ SV31 )
| ( h_false @ SV19 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(174,plain,
! [SV32: $i,SV20: $i] :
( ( ~ ( h_false_only @ SV20 @ SV32 )
| ~ ( h_true @ SV20 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(175,plain,
! [SV13: $i,SV7: $i] :
( ( ( h_true @ SV7 @ SV13 )
= $false )
| ( ( h_false @ SV7 @ SV13 )
= $true )
| ( ( h_true_only @ SV7 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(176,plain,
! [SV33: $i,SV21: $i] :
( ( ~ ( h_true_only @ SV21 @ SV33 )
| ( h_true @ SV21 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(177,plain,
! [SV34: $i,SV22: $i] :
( ( ~ ( h_true_only @ SV22 @ SV34 )
| ~ ( h_false @ SV22 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(178,plain,
! [SV14: $i,SV8: $i] :
( ( ( g_false @ SV8 @ SV14 )
= $false )
| ( ( ~ ( g_true @ SV8 @ SV14 ) )
= $true )
| ( ( g_both @ SV8 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(179,plain,
! [SV35: $i,SV23: $i] :
( ( ~ ( g_both @ SV23 @ SV35 )
| ( g_false @ SV23 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(180,plain,
! [SV36: $i,SV24: $i] :
( ( ~ ( g_both @ SV24 @ SV36 )
| ( g_true @ SV24 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(181,plain,
( ( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(182,plain,
( ( sK28_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(183,plain,
( ( ~ ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(184,plain,
( ( ~ ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(185,plain,
( ( ~ ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(186,plain,
( ( ~ ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(187,plain,
! [SV15: $i,SV9: $i] :
( ( ( g_true @ SV9 @ SV15 )
= $false )
| ( ( g_false @ SV9 @ SV15 )
= $true )
| ( ( g_true_only @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(188,plain,
! [SV37: $i,SV25: $i] :
( ( ~ ( g_true_only @ SV25 @ SV37 )
| ( g_true @ SV25 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(189,plain,
! [SV38: $i,SV26: $i] :
( ( ~ ( g_true_only @ SV26 @ SV38 )
| ~ ( g_false @ SV26 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(190,plain,
! [SV16: $i,SV10: $i] :
( ( ( g_false @ SV10 @ SV16 )
= $false )
| ( ( g_true @ SV10 @ SV16 )
= $true )
| ( ( g_false_only @ SV10 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(191,plain,
! [SV39: $i,SV27: $i] :
( ( ~ ( g_false_only @ SV27 @ SV39 )
| ( g_false @ SV27 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(192,plain,
! [SV40: $i,SV28: $i] :
( ( ~ ( g_false_only @ SV28 @ SV40 )
| ~ ( g_true @ SV28 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(193,plain,
! [SV11: $i,SV5: $i] :
( ( ( h_true @ SV5 @ SV11 )
= $false )
| ( ( h_false @ SV5 @ SV11 )
= $false )
| ( ( h_both @ SV5 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(194,plain,
! [SV29: $i,SV17: $i] :
( ( ( ~ ( h_both @ SV17 @ SV29 ) )
= $true )
| ( ( h_false @ SV17 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(195,plain,
! [SV30: $i,SV18: $i] :
( ( ( ~ ( h_both @ SV18 @ SV30 ) )
= $true )
| ( ( h_true @ SV18 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(196,plain,
! [SV31: $i,SV19: $i] :
( ( ( ~ ( h_false_only @ SV19 @ SV31 ) )
= $true )
| ( ( h_false @ SV19 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(197,plain,
! [SV32: $i,SV20: $i] :
( ( ( ~ ( h_false_only @ SV20 @ SV32 ) )
= $true )
| ( ( ~ ( h_true @ SV20 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(198,plain,
! [SV33: $i,SV21: $i] :
( ( ( ~ ( h_true_only @ SV21 @ SV33 ) )
= $true )
| ( ( h_true @ SV21 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(199,plain,
! [SV34: $i,SV22: $i] :
( ( ( ~ ( h_true_only @ SV22 @ SV34 ) )
= $true )
| ( ( ~ ( h_false @ SV22 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(200,plain,
! [SV14: $i,SV8: $i] :
( ( ( g_true @ SV8 @ SV14 )
= $false )
| ( ( g_false @ SV8 @ SV14 )
= $false )
| ( ( g_both @ SV8 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(201,plain,
! [SV35: $i,SV23: $i] :
( ( ( ~ ( g_both @ SV23 @ SV35 ) )
= $true )
| ( ( g_false @ SV23 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(202,plain,
! [SV36: $i,SV24: $i] :
( ( ( ~ ( g_both @ SV24 @ SV36 ) )
= $true )
| ( ( g_true @ SV24 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(203,plain,
( ( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK25_B @ SX0 ) )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK24_B @ SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(204,plain,
( ( ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(205,plain,
( ( sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(206,plain,
( ( ~ sK27_REN
| ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(207,plain,
( ( sK26_REN
| ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(208,plain,
( ( ~ sK26_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(209,plain,
! [SV37: $i,SV25: $i] :
( ( ( ~ ( g_true_only @ SV25 @ SV37 ) )
= $true )
| ( ( g_true @ SV25 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(210,plain,
! [SV38: $i,SV26: $i] :
( ( ( ~ ( g_true_only @ SV26 @ SV38 ) )
= $true )
| ( ( ~ ( g_false @ SV26 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(211,plain,
! [SV39: $i,SV27: $i] :
( ( ( ~ ( g_false_only @ SV27 @ SV39 ) )
= $true )
| ( ( g_false @ SV27 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(212,plain,
! [SV40: $i,SV28: $i] :
( ( ( ~ ( g_false_only @ SV28 @ SV40 ) )
= $true )
| ( ( ~ ( g_true @ SV28 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(213,plain,
! [SV29: $i,SV17: $i] :
( ( ( h_both @ SV17 @ SV29 )
= $false )
| ( ( h_false @ SV17 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(214,plain,
! [SV30: $i,SV18: $i] :
( ( ( h_both @ SV18 @ SV30 )
= $false )
| ( ( h_true @ SV18 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(215,plain,
! [SV31: $i,SV19: $i] :
( ( ( h_false_only @ SV19 @ SV31 )
= $false )
| ( ( h_false @ SV19 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(216,plain,
! [SV32: $i,SV20: $i] :
( ( ( h_false_only @ SV20 @ SV32 )
= $false )
| ( ( ~ ( h_true @ SV20 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(217,plain,
! [SV33: $i,SV21: $i] :
( ( ( h_true_only @ SV21 @ SV33 )
= $false )
| ( ( h_true @ SV21 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(218,plain,
! [SV34: $i,SV22: $i] :
( ( ( h_true_only @ SV22 @ SV34 )
= $false )
| ( ( ~ ( h_false @ SV22 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(219,plain,
! [SV35: $i,SV23: $i] :
( ( ( g_both @ SV23 @ SV35 )
= $false )
| ( ( g_false @ SV23 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(220,plain,
! [SV36: $i,SV24: $i] :
( ( ( g_both @ SV24 @ SV36 )
= $false )
| ( ( g_true @ SV24 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(221,plain,
! [SV41: $i] :
( ( ( ! [SY113: $i] :
~ ( g_both @ SV41 @ SY113 )
| ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
| ! [SY114: $i] :
~ ( h_both @ SV41 @ SY114 )
| ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(222,plain,
( ( ( ~ ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(223,plain,
( ( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(224,plain,
( ( sK27_REN = $true )
| ( ( ~ ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(225,plain,
( ( ( ~ sK27_REN )
= $true )
| ( ( ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(226,plain,
( ( sK26_REN = $true )
| ( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_both @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) )
| ~ ( ~ ( g_both @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK1_C @ SX1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(227,plain,
( ( ( ~ sK26_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(228,plain,
! [SV37: $i,SV25: $i] :
( ( ( g_true_only @ SV25 @ SV37 )
= $false )
| ( ( g_true @ SV25 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(229,plain,
! [SV38: $i,SV26: $i] :
( ( ( g_true_only @ SV26 @ SV38 )
= $false )
| ( ( ~ ( g_false @ SV26 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(230,plain,
! [SV39: $i,SV27: $i] :
( ( ( g_false_only @ SV27 @ SV39 )
= $false )
| ( ( g_false @ SV27 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(231,plain,
! [SV40: $i,SV28: $i] :
( ( ( g_false_only @ SV28 @ SV40 )
= $false )
| ( ( ~ ( g_true @ SV28 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(232,plain,
! [SV32: $i,SV20: $i] :
( ( ( h_true @ SV20 @ SV32 )
= $false )
| ( ( h_false_only @ SV20 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(233,plain,
! [SV34: $i,SV22: $i] :
( ( ( h_false @ SV22 @ SV34 )
= $false )
| ( ( h_true_only @ SV22 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(234,plain,
! [SV41: $i] :
( ( ( ! [SY113: $i] :
~ ( g_both @ SV41 @ SY113 )
| ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
| ! [SY114: $i] :
~ ( h_both @ SV41 @ SY114 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(235,plain,
( ( ( ~ ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(236,plain,
( ( ( ~ ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(237,plain,
( ( ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) )
= $false )
| ( sK27_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(238,plain,
( ( sK27_REN = $false )
| ( ( ~ ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(239,plain,
! [SV42: $i] :
( ( ( ! [SY115: $i] :
~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SV42 @ SY115 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SY115 @ SV42 ) ) )
| ~ ( ~ ( g_true_only @ SV42 @ SY115 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SY115 @ SV42 ) ) ) )
| ~ ( ~ ( g_both @ SV42 @ SY115 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SY115 @ SV42 ) ) ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(240,plain,
( ( sK26_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(241,plain,
! [SV38: $i,SV26: $i] :
( ( ( g_false @ SV26 @ SV38 )
= $false )
| ( ( g_true_only @ SV26 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV40: $i,SV28: $i] :
( ( ( g_true @ SV28 @ SV40 )
= $false )
| ( ( g_false_only @ SV28 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(243,plain,
! [SV41: $i] :
( ( ( ! [SY113: $i] :
~ ( g_both @ SV41 @ SY113 )
| ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) ) )
= $true )
| ( ( ! [SY114: $i] :
~ ( h_both @ SV41 @ SY114 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(244,plain,
( ( ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(245,plain,
( ( ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
| ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(246,plain,
( ( ( ~ ~ ( g_false_only @ sK6_A @ sK7_SY55 ) )
= $false )
| ( sK27_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(247,plain,
( ( ( ~ ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) )
= $false )
| ( sK27_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(248,plain,
( ( ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 )
| ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) )
= $false )
| ( sK27_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(249,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
| ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) )
| ~ ( ~ ( g_both @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(250,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(251,plain,
! [SV41: $i] :
( ( ( ! [SY113: $i] :
~ ( g_both @ SV41 @ SY113 ) )
= $true )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( ! [SY114: $i] :
~ ( h_both @ SV41 @ SY114 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(252,plain,
( ( ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(253,plain,
( ( ( ~ ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(254,plain,
( ( ( ~ ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(255,plain,
( ( ( ~ ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) )
= $false )
| ( sK28_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(256,plain,
( ( ( ~ ( g_false_only @ sK6_A @ sK7_SY55 ) )
= $true )
| ( sK27_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(257,plain,
( ( ( ! [SX0: $i] :
~ ( h_true_only @ sK6_A @ SX0 ) )
= $true )
| ( sK27_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(258,plain,
( ( ( ~ ~ ( g_false_only @ sK8_A @ sK9_SY57 ) )
= $false )
| ( sK27_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(259,plain,
( ( ( ~ ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) )
= $false )
| ( sK27_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(260,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
| ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) )
| ~ ( ~ ( g_both @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(261,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(262,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(263,plain,
! [SV44: $i,SV41: $i] :
( ( ( ~ ( g_both @ SV41 @ SV44 ) )
= $true )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( ! [SY114: $i] :
~ ( h_both @ SV41 @ SY114 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(264,plain,
( ( ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ( g_both @ sK10_A @ sK11_SY59 ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(265,plain,
( ( ( ( g_true_only @ sK10_A @ sK11_SY59 )
| ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(266,plain,
( ( ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) )
| ( g_both @ sK10_A @ sK11_SY59 ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(267,plain,
( ( ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(268,plain,
( ( ( g_false_only @ sK6_A @ sK7_SY55 )
= $false )
| ( sK27_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(269,plain,
! [SV45: $i] :
( ( ( ~ ( h_true_only @ sK6_A @ SV45 ) )
= $true )
| ( sK27_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(270,plain,
( ( ( ~ ( g_false_only @ sK8_A @ sK9_SY57 ) )
= $true )
| ( sK27_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(271,plain,
( ( ( ! [SX0: $i] :
~ ( h_true_only @ sK8_A @ SX0 ) )
= $true )
| ( sK27_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(272,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
| ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) ) )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(273,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( ~ ( g_both @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(274,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(275,plain,
( ( ( ! [SX0: $i] :
( ~ ( h_false_only @ SX0 @ ( sK3_B @ SX0 ) )
| ! [SX1: $i] :
~ ( g_both @ SX0 @ SX1 )
| ( g_true_only @ SX0 @ ( sK2_B @ SX0 ) ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(276,plain,
! [SV44: $i,SV41: $i] :
( ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( ! [SY114: $i] :
~ ( h_both @ SV41 @ SY114 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(277,plain,
( ( ( g_true_only @ sK10_A @ sK11_SY59 )
= $true )
| ( ( g_both @ sK10_A @ sK11_SY59 )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(278,plain,
( ( ( g_true_only @ sK10_A @ sK11_SY59 )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK10_A @ SX0 ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(279,plain,
( ( ( ! [SX0: $i] :
( ( h_both @ sK10_A @ SX0 )
| ( h_false_only @ sK10_A @ SX0 ) ) )
= $true )
| ( ( g_both @ sK10_A @ sK11_SY59 )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(280,plain,
! [SV46: $i] :
( ( ( ( h_both @ sK10_A @ SV46 )
| ( h_false_only @ sK10_A @ SV46 )
| ( h_false_only @ sK10_A @ SV46 ) )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(281,plain,
! [SV45: $i] :
( ( ( h_true_only @ sK6_A @ SV45 )
= $false )
| ( sK27_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(282,plain,
( ( ( g_false_only @ sK8_A @ sK9_SY57 )
= $false )
| ( sK27_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(283,plain,
! [SV47: $i] :
( ( ( ~ ( h_true_only @ sK8_A @ SV47 ) )
= $true )
| ( sK27_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(284,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
| ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(285,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( g_both @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(286,plain,
( ( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(287,plain,
! [SV48: $i] :
( ( ( ~ ( h_false_only @ SV48 @ ( sK3_B @ SV48 ) )
| ! [SY116: $i] :
~ ( g_both @ SV48 @ SY116 )
| ( g_true_only @ SV48 @ ( sK2_B @ SV48 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(288,plain,
! [SV44: $i,SV49: $i,SV41: $i] :
( ( ( ~ ( h_both @ SV41 @ SV49 ) )
= $true )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(289,plain,
! [SV50: $i] :
( ( ( h_false_only @ sK10_A @ SV50 )
= $true )
| ( ( g_true_only @ sK10_A @ sK11_SY59 )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(290,plain,
! [SV51: $i] :
( ( ( ( h_both @ sK10_A @ SV51 )
| ( h_false_only @ sK10_A @ SV51 ) )
= $true )
| ( ( g_both @ sK10_A @ sK11_SY59 )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(291,plain,
! [SV46: $i] :
( ( ( ( h_both @ sK10_A @ SV46 )
| ( h_false_only @ sK10_A @ SV46 ) )
= $true )
| ( ( h_false_only @ sK10_A @ SV46 )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(292,plain,
! [SV47: $i] :
( ( ( h_true_only @ sK8_A @ SV47 )
= $false )
| ( sK27_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(293,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
| ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(294,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( g_both @ SV42 @ SV43 ) )
= $true )
| ( ( ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(295,plain,
( ( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(296,plain,
( ( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(297,plain,
! [SV48: $i] :
( ( ( ~ ( h_false_only @ SV48 @ ( sK3_B @ SV48 ) ) )
= $true )
| ( ( ! [SY116: $i] :
~ ( g_both @ SV48 @ SY116 )
| ( g_true_only @ SV48 @ ( sK2_B @ SV48 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(298,plain,
! [SV44: $i,SV49: $i,SV41: $i] :
( ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(299,plain,
! [SV51: $i] :
( ( ( h_both @ sK10_A @ SV51 )
= $true )
| ( ( h_false_only @ sK10_A @ SV51 )
= $true )
| ( ( g_both @ sK10_A @ sK11_SY59 )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(300,plain,
! [SV46: $i] :
( ( ( h_both @ sK10_A @ SV46 )
= $true )
| ( ( h_false_only @ sK10_A @ SV46 )
= $true )
| ( ( h_false_only @ sK10_A @ SV46 )
= $true )
| ( sK28_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(301,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(302,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) ) )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(303,plain,
! [SV43: $i,SV42: $i] :
( ( ( g_both @ SV42 @ SV43 )
= $false )
| ( ( ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(304,plain,
( ( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ~ ( h_false_only @ SX0 @ ( sK5_B @ SX0 ) ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(305,plain,
( ( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( g_true_only @ SX0 @ SX1 )
| ! [SX1: $i] :
~ ( h_both @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK4_B @ SX0 ) ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(306,plain,
! [SV48: $i] :
( ( ( h_false_only @ SV48 @ ( sK3_B @ SV48 ) )
= $false )
| ( ( ! [SY116: $i] :
~ ( g_both @ SV48 @ SY116 )
| ( g_true_only @ SV48 @ ( sK2_B @ SV48 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(307,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(308,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(309,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( g_true_only @ SV42 @ SV43 )
| ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(310,plain,
! [SV43: $i,SV42: $i] :
( ( ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) )
= $false )
| ( ( g_both @ SV42 @ SV43 )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(311,plain,
! [SV52: $i] :
( ( ( ! [SY117: $i] :
~ ( g_true_only @ SV52 @ SY117 )
| ~ ( h_false_only @ SV52 @ ( sK5_B @ SV52 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(312,plain,
! [SV53: $i] :
( ( ( ! [SY118: $i] :
~ ( g_true_only @ SV53 @ SY118 )
| ! [SY119: $i] :
~ ( h_both @ SV53 @ SY119 )
| ( h_true_only @ SV53 @ ( sK4_B @ SV53 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(313,plain,
! [SV48: $i] :
( ( ( ! [SY116: $i] :
~ ( g_both @ SV48 @ SY116 ) )
= $true )
| ( ( g_true_only @ SV48 @ ( sK2_B @ SV48 ) )
= $true )
| ( ( h_false_only @ SV48 @ ( sK3_B @ SV48 ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(314,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(315,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(316,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( g_true_only @ SV42 @ SV43 ) )
= $true )
| ( ( ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(317,plain,
! [SV43: $i,SV42: $i] :
( ( ( ~ ( g_true_only @ SV42 @ SV43 ) )
= $true )
| ( ( ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(318,plain,
! [SV52: $i] :
( ( ( ! [SY117: $i] :
~ ( g_true_only @ SV52 @ SY117 ) )
= $true )
| ( ( ~ ( h_false_only @ SV52 @ ( sK5_B @ SV52 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(319,plain,
! [SV53: $i] :
( ( ( ! [SY118: $i] :
~ ( g_true_only @ SV53 @ SY118 ) )
= $true )
| ( ( ! [SY119: $i] :
~ ( h_both @ SV53 @ SY119 )
| ( h_true_only @ SV53 @ ( sK4_B @ SV53 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(320,plain,
! [SV54: $i,SV48: $i] :
( ( ( ~ ( g_both @ SV48 @ SV54 ) )
= $true )
| ( ( g_true_only @ SV48 @ ( sK2_B @ SV48 ) )
= $true )
| ( ( h_false_only @ SV48 @ ( sK3_B @ SV48 ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(321,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(322,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(323,plain,
! [SV43: $i,SV42: $i] :
( ( ( g_true_only @ SV42 @ SV43 )
= $false )
| ( ( ~ ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(324,plain,
! [SV43: $i,SV42: $i] :
( ( ( g_true_only @ SV42 @ SV43 )
= $false )
| ( ( ~ ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) ) )
= $true )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(325,plain,
! [SV55: $i,SV52: $i] :
( ( ( ~ ( g_true_only @ SV52 @ SV55 ) )
= $true )
| ( ( ~ ( h_false_only @ SV52 @ ( sK5_B @ SV52 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(326,plain,
! [SV56: $i,SV53: $i] :
( ( ( ~ ( g_true_only @ SV53 @ SV56 ) )
= $true )
| ( ( ! [SY119: $i] :
~ ( h_both @ SV53 @ SY119 )
| ( h_true_only @ SV53 @ ( sK4_B @ SV53 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(327,plain,
! [SV54: $i,SV48: $i] :
( ( ( g_both @ SV48 @ SV54 )
= $false )
| ( ( g_true_only @ SV48 @ ( sK2_B @ SV48 ) )
= $true )
| ( ( h_false_only @ SV48 @ ( sK3_B @ SV48 ) )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(328,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(329,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(330,plain,
! [SV43: $i,SV42: $i] :
( ( ( h_both @ SV42 @ ( sK1_C @ SV43 @ SV42 ) )
= $false )
| ( ( g_true_only @ SV42 @ SV43 )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(331,plain,
! [SV43: $i,SV42: $i] :
( ( ( h_false_only @ SV42 @ ( sK1_C @ SV43 @ SV42 ) )
= $false )
| ( ( g_true_only @ SV42 @ SV43 )
= $false )
| ( sK26_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(332,plain,
! [SV55: $i,SV52: $i] :
( ( ( g_true_only @ SV52 @ SV55 )
= $false )
| ( ( ~ ( h_false_only @ SV52 @ ( sK5_B @ SV52 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(333,plain,
! [SV56: $i,SV53: $i] :
( ( ( g_true_only @ SV53 @ SV56 )
= $false )
| ( ( ! [SY119: $i] :
~ ( h_both @ SV53 @ SY119 )
| ( h_true_only @ SV53 @ ( sK4_B @ SV53 ) ) )
= $true )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(334,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(335,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(336,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(337,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(338,plain,
! [SV55: $i,SV52: $i] :
( ( ( h_false_only @ SV52 @ ( sK5_B @ SV52 ) )
= $false )
| ( ( g_true_only @ SV52 @ SV55 )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(339,plain,
! [SV56: $i,SV53: $i] :
( ( ( ! [SY119: $i] :
~ ( h_both @ SV53 @ SY119 ) )
= $true )
| ( ( h_true_only @ SV53 @ ( sK4_B @ SV53 ) )
= $true )
| ( ( g_true_only @ SV53 @ SV56 )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(340,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ( g_true_only @ sK14_A @ sK23_SY69 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(341,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(342,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(343,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(344,plain,
! [SV56: $i,SV57: $i,SV53: $i] :
( ( ( ~ ( h_both @ SV53 @ SV57 ) )
= $true )
| ( ( h_true_only @ SV53 @ ( sK4_B @ SV53 ) )
= $true )
| ( ( g_true_only @ SV53 @ SV56 )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(345,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(346,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
| ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(347,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(348,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(349,plain,
! [SV56: $i,SV57: $i,SV53: $i] :
( ( ( h_both @ SV53 @ SV57 )
= $false )
| ( ( h_true_only @ SV53 @ ( sK4_B @ SV53 ) )
= $true )
| ( ( g_true_only @ SV53 @ SV56 )
= $false )
| ( sK26_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(350,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV58: $i] :
( ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(351,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(352,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(353,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(354,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(355,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(356,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(357,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV59: $i] :
( ( ( ! [SY120: $i] :
( ~ ( g_both @ SV59 @ SY120 )
| ! [SY121: $i] :
~ ( h_both @ SV59 @ SY121 )
| ( g_false_only @ SV59 @ SY120 )
| ( h_true_only @ SV59 @ ( sK13_C @ SY120 @ SV59 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(358,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ( g_true_only @ sK14_A @ sK22_SY71 )
| ( g_both @ sK14_A @ sK21_SY72 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(359,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ( g_true_only @ sK14_A @ sK20_SY73 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(360,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(361,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(362,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(363,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(364,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV59: $i] :
( ( ( ! [SY120: $i] :
( ~ ( g_both @ SV59 @ SY120 )
| ! [SY121: $i] :
~ ( h_both @ SV59 @ SY121 )
| ( g_false_only @ SV59 @ SY120 )
| ( h_true_only @ SV59 @ ( sK13_C @ SY120 @ SV59 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(365,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(366,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(367,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK19_SY76 ) )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(368,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(369,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(370,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
| ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(371,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV59: $i] :
( ( ( ~ ( g_both @ SV59 @ SV60 )
| ! [SY121: $i] :
~ ( h_both @ SV59 @ SY121 )
| ( g_false_only @ SV59 @ SV60 )
| ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(372,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV61: $i] :
( ( ( ! [SY126: $i] :
( ~ ( g_both @ SV61 @ SY126 )
| ! [SY127: $i] :
~ ( h_both @ SV61 @ SY127 )
| ( g_false_only @ SV61 @ SY126 )
| ( h_true_only @ SV61 @ ( sK13_C @ SY126 @ SV61 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(373,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV62: $i] :
( ( ( ~ ( g_true_only @ sK14_A @ SV62 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(374,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(375,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(376,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(377,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(378,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(379,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ~ ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) ) )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(380,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV59: $i] :
( ( ( ~ ( g_both @ SV59 @ SV60 )
| ! [SY121: $i] :
~ ( h_both @ SV59 @ SY121 ) )
= $true )
| ( ( ( g_false_only @ SV59 @ SV60 )
| ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(381,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV61: $i] :
( ( ( ! [SY126: $i] :
( ~ ( g_both @ SV61 @ SY126 )
| ! [SY127: $i] :
~ ( h_both @ SV61 @ SY127 )
| ( g_false_only @ SV61 @ SY126 )
| ( h_true_only @ SV61 @ ( sK13_C @ SY126 @ SV61 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(382,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV62: $i] :
( ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(383,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV63: $i] :
( ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(384,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV64: $i] :
( ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(385,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 )
| ( g_both @ sK14_A @ sK17_SY83 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(386,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ( g_both @ sK14_A @ sK16_SY86 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(387,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(388,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(389,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV59: $i] :
( ( ( ~ ( g_both @ SV59 @ SV60 ) )
= $true )
| ( ( ! [SY121: $i] :
~ ( h_both @ SV59 @ SY121 ) )
= $true )
| ( ( ( g_false_only @ SV59 @ SV60 )
| ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(390,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV61: $i] :
( ( ( ~ ( g_both @ SV61 @ SV65 )
| ! [SY127: $i] :
~ ( h_both @ SV61 @ SY127 )
| ( g_false_only @ SV61 @ SV65 )
| ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(391,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV66: $i] :
( ( ( ! [SY132: $i] :
( ~ ( g_both @ SV66 @ SY132 )
| ! [SY133: $i] :
~ ( h_both @ SV66 @ SY133 )
| ( g_false_only @ SV66 @ SY132 )
| ( h_true_only @ SV66 @ ( sK13_C @ SY132 @ SV66 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(392,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV63: $i,SV67: $i] :
( ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(393,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV64: $i,SV68: $i] :
( ( ( ~ ( h_true_only @ sK14_A @ SV68 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(394,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK18_SY82 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(395,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(396,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ( h_both @ sK14_A @ sK15_SY88 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(397,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 )
| ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(398,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV59: $i] :
( ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( ! [SY121: $i] :
~ ( h_both @ SV59 @ SY121 ) )
= $true )
| ( ( ( g_false_only @ SV59 @ SV60 )
| ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(399,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV61: $i] :
( ( ( ~ ( g_both @ SV61 @ SV65 )
| ! [SY127: $i] :
~ ( h_both @ SV61 @ SY127 ) )
= $true )
| ( ( ( g_false_only @ SV61 @ SV65 )
| ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(400,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV66: $i] :
( ( ( ! [SY132: $i] :
( ~ ( g_both @ SV66 @ SY132 )
| ! [SY133: $i] :
~ ( h_both @ SV66 @ SY133 )
| ( g_false_only @ SV66 @ SY132 )
| ( h_true_only @ SV66 @ ( sK13_C @ SY132 @ SV66 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(401,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV69: $i] :
( ( ( ! [SY137: $i] :
( ~ ( g_both @ SV69 @ SY137 )
| ! [SY138: $i] :
~ ( h_both @ SV69 @ SY138 )
| ( g_false_only @ SV69 @ SY137 )
| ( h_true_only @ SV69 @ ( sK13_C @ SY137 @ SV69 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(402,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV64: $i,SV68: $i] :
( ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(403,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(404,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(405,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(406,plain,
! [SV49: $i,SV44: $i,SV41: $i] :
( ( ( ! [SX0: $i] : ( h_false_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(407,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( h_both @ SV59 @ SV70 ) )
= $true )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( ( g_false_only @ SV59 @ SV60 )
| ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(408,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV61: $i] :
( ( ( ~ ( g_both @ SV61 @ SV65 ) )
= $true )
| ( ( ! [SY127: $i] :
~ ( h_both @ SV61 @ SY127 ) )
= $true )
| ( ( ( g_false_only @ SV61 @ SV65 )
| ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(409,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV66: $i] :
( ( ( ~ ( g_both @ SV66 @ SV71 )
| ! [SY133: $i] :
~ ( h_both @ SV66 @ SY133 )
| ( g_false_only @ SV66 @ SV71 )
| ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(410,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV69: $i] :
( ( ( ! [SY137: $i] :
( ~ ( g_both @ SV69 @ SY137 )
| ! [SY138: $i] :
~ ( h_both @ SV69 @ SY138 )
| ( g_false_only @ SV69 @ SY137 )
| ( h_true_only @ SV69 @ ( sK13_C @ SY137 @ SV69 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(411,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV68: $i,SV64: $i,SV72: $i] :
( ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(412,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV73: $i] :
( ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(413,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV74: $i] :
( ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(414,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV75: $i] :
( ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(415,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV76: $i] :
( ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( ! [SX0: $i] :
~ ( h_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(416,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( ( g_false_only @ SV59 @ SV60 )
| ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(417,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV61: $i] :
( ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( ! [SY127: $i] :
~ ( h_both @ SV61 @ SY127 ) )
= $true )
| ( ( ( g_false_only @ SV61 @ SV65 )
| ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(418,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV66: $i] :
( ( ( ~ ( g_both @ SV66 @ SV71 )
| ! [SY133: $i] :
~ ( h_both @ SV66 @ SY133 ) )
= $true )
| ( ( ( g_false_only @ SV66 @ SV71 )
| ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(419,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV69: $i] :
( ( ( ~ ( g_both @ SV69 @ SV77 )
| ! [SY138: $i] :
~ ( h_both @ SV69 @ SY138 )
| ( g_false_only @ SV69 @ SV77 )
| ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(420,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV78: $i] :
( ( ( ! [SY144: $i] :
( ~ ( g_both @ SV78 @ SY144 )
| ! [SY145: $i] :
~ ( h_both @ SV78 @ SY145 )
| ( g_false_only @ SV78 @ SY144 )
| ( h_true_only @ SV78 @ ( sK13_C @ SY144 @ SV78 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(421,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV79: $i] :
( ( ( ! [SY149: $i] :
( ~ ( g_both @ SV79 @ SY149 )
| ! [SY150: $i] :
~ ( h_both @ SV79 @ SY150 )
| ( g_false_only @ SV79 @ SY149 )
| ( h_true_only @ SV79 @ ( sK13_C @ SY149 @ SV79 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(422,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV74: $i,SV80: $i] :
( ( ( ~ ( h_true_only @ sK14_A @ SV80 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(423,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV75: $i,SV81: $i] :
( ( ( ~ ( g_true_only @ sK14_A @ SV81 ) )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(424,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV76: $i,SV82: $i] :
( ( ( ~ ( h_true_only @ sK14_A @ SV82 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(425,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV70: $i,SV60: $i,SV59: $i] :
( ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(426,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( h_both @ SV61 @ SV83 ) )
= $true )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( ( g_false_only @ SV61 @ SV65 )
| ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(427,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV66: $i] :
( ( ( ~ ( g_both @ SV66 @ SV71 ) )
= $true )
| ( ( ! [SY133: $i] :
~ ( h_both @ SV66 @ SY133 ) )
= $true )
| ( ( ( g_false_only @ SV66 @ SV71 )
| ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(428,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV69: $i] :
( ( ( ~ ( g_both @ SV69 @ SV77 )
| ! [SY138: $i] :
~ ( h_both @ SV69 @ SY138 ) )
= $true )
| ( ( ( g_false_only @ SV69 @ SV77 )
| ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(429,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV78: $i] :
( ( ( ! [SY144: $i] :
( ~ ( g_both @ SV78 @ SY144 )
| ! [SY145: $i] :
~ ( h_both @ SV78 @ SY145 )
| ( g_false_only @ SV78 @ SY144 )
| ( h_true_only @ SV78 @ ( sK13_C @ SY144 @ SV78 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(430,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV79: $i] :
( ( ( ! [SY149: $i] :
( ~ ( g_both @ SV79 @ SY149 )
| ! [SY150: $i] :
~ ( h_both @ SV79 @ SY150 )
| ( g_false_only @ SV79 @ SY149 )
| ( h_true_only @ SV79 @ ( sK13_C @ SY149 @ SV79 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(431,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV74: $i,SV80: $i] :
( ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(432,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV75: $i,SV81: $i] :
( ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(433,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV76: $i,SV82: $i] :
( ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( ! [SX0: $i] :
~ ( g_true_only @ sK14_A @ SX0 ) )
= $true )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(434,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
| ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(435,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( ( g_false_only @ SV61 @ SV65 )
| ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(436,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV66: $i] :
( ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( ! [SY133: $i] :
~ ( h_both @ SV66 @ SY133 ) )
= $true )
| ( ( ( g_false_only @ SV66 @ SV71 )
| ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(437,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV69: $i] :
( ( ( ~ ( g_both @ SV69 @ SV77 ) )
= $true )
| ( ( ! [SY138: $i] :
~ ( h_both @ SV69 @ SY138 ) )
= $true )
| ( ( ( g_false_only @ SV69 @ SV77 )
| ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(438,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV78: $i] :
( ( ( ~ ( g_both @ SV78 @ SV84 )
| ! [SY145: $i] :
~ ( h_both @ SV78 @ SY145 )
| ( g_false_only @ SV78 @ SV84 )
| ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(439,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV79: $i] :
( ( ( ~ ( g_both @ SV79 @ SV85 )
| ! [SY150: $i] :
~ ( h_both @ SV79 @ SY150 )
| ( g_false_only @ SV79 @ SV85 )
| ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(440,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV86: $i] :
( ( ( ! [SY156: $i] :
( ~ ( g_both @ SV86 @ SY156 )
| ! [SY157: $i] :
~ ( h_both @ SV86 @ SY157 )
| ( g_false_only @ SV86 @ SY156 )
| ( h_true_only @ SV86 @ ( sK13_C @ SY156 @ SV86 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(441,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV87: $i] :
( ( ( ! [SY161: $i] :
( ~ ( g_both @ SV87 @ SY161 )
| ! [SY162: $i] :
~ ( h_both @ SV87 @ SY162 )
| ( g_false_only @ SV87 @ SY161 )
| ( h_true_only @ SV87 @ ( sK13_C @ SY161 @ SV87 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(442,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV82: $i,SV76: $i,SV88: $i] :
( ( ( ~ ( g_true_only @ sK14_A @ SV88 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(443,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(444,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(445,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV83: $i,SV65: $i,SV61: $i] :
( ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(446,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( h_both @ SV66 @ SV89 ) )
= $true )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( ( g_false_only @ SV66 @ SV71 )
| ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(447,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV69: $i] :
( ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( ! [SY138: $i] :
~ ( h_both @ SV69 @ SY138 ) )
= $true )
| ( ( ( g_false_only @ SV69 @ SV77 )
| ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(448,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV78: $i] :
( ( ( ~ ( g_both @ SV78 @ SV84 )
| ! [SY145: $i] :
~ ( h_both @ SV78 @ SY145 ) )
= $true )
| ( ( ( g_false_only @ SV78 @ SV84 )
| ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(449,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV79: $i] :
( ( ( ~ ( g_both @ SV79 @ SV85 )
| ! [SY150: $i] :
~ ( h_both @ SV79 @ SY150 ) )
= $true )
| ( ( ( g_false_only @ SV79 @ SV85 )
| ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(450,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV86: $i] :
( ( ( ! [SY156: $i] :
( ~ ( g_both @ SV86 @ SY156 )
| ! [SY157: $i] :
~ ( h_both @ SV86 @ SY157 )
| ( g_false_only @ SV86 @ SY156 )
| ( h_true_only @ SV86 @ ( sK13_C @ SY156 @ SV86 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(451,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV87: $i] :
( ( ( ! [SY161: $i] :
( ~ ( g_both @ SV87 @ SY161 )
| ! [SY162: $i] :
~ ( h_both @ SV87 @ SY162 )
| ( g_false_only @ SV87 @ SY161 )
| ( h_true_only @ SV87 @ ( sK13_C @ SY161 @ SV87 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(452,plain,
! [SV49: $i,SV44: $i,SV41: $i,SV82: $i,SV76: $i,SV88: $i] :
( ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ! [SX2: $i] :
~ ( h_both @ SX0 @ SX2 )
| ( g_false_only @ SX0 @ SX1 )
| ( h_true_only @ SX0 @ ( sK13_C @ SX1 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ( ( g_true_only @ SX0 @ ( sK12_B @ SX0 ) )
| ! [SX1: $i] : ( h_false_only @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ( ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) )
| ( g_both @ SX0 @ ( sK12_B @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ( h_both @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 )
| ( h_false_only @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(453,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(454,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(455,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
| ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(456,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( ( g_false_only @ SV66 @ SV71 )
| ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(457,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( h_both @ SV69 @ SV90 ) )
= $true )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( ( g_false_only @ SV69 @ SV77 )
| ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(458,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV78: $i] :
( ( ( ~ ( g_both @ SV78 @ SV84 ) )
= $true )
| ( ( ! [SY145: $i] :
~ ( h_both @ SV78 @ SY145 ) )
= $true )
| ( ( ( g_false_only @ SV78 @ SV84 )
| ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(459,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV79: $i] :
( ( ( ~ ( g_both @ SV79 @ SV85 ) )
= $true )
| ( ( ! [SY150: $i] :
~ ( h_both @ SV79 @ SY150 ) )
= $true )
| ( ( ( g_false_only @ SV79 @ SV85 )
| ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(460,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV86: $i] :
( ( ( ~ ( g_both @ SV86 @ SV91 )
| ! [SY157: $i] :
~ ( h_both @ SV86 @ SY157 )
| ( g_false_only @ SV86 @ SV91 )
| ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(461,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV87: $i] :
( ( ( ~ ( g_both @ SV87 @ SV92 )
| ! [SY162: $i] :
~ ( h_both @ SV87 @ SY162 )
| ( g_false_only @ SV87 @ SV92 )
| ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(462,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV93: $i] :
( ( ( ! [SY168: $i] :
( ~ ( g_both @ SV93 @ SY168 )
| ! [SY169: $i] :
~ ( h_both @ SV93 @ SY169 )
| ( g_false_only @ SV93 @ SY168 )
| ( h_true_only @ SV93 @ ( sK13_C @ SY168 @ SV93 ) ) )
| ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(463,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(464,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
| ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(465,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(466,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(467,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV89: $i,SV71: $i,SV66: $i] :
( ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(468,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( ( g_false_only @ SV69 @ SV77 )
| ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(469,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV78: $i] :
( ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( ! [SY145: $i] :
~ ( h_both @ SV78 @ SY145 ) )
= $true )
| ( ( ( g_false_only @ SV78 @ SV84 )
| ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(470,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV79: $i] :
( ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( ! [SY150: $i] :
~ ( h_both @ SV79 @ SY150 ) )
= $true )
| ( ( ( g_false_only @ SV79 @ SV85 )
| ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(471,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV86: $i] :
( ( ( ~ ( g_both @ SV86 @ SV91 )
| ! [SY157: $i] :
~ ( h_both @ SV86 @ SY157 ) )
= $true )
| ( ( ( g_false_only @ SV86 @ SV91 )
| ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(472,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV87: $i] :
( ( ( ~ ( g_both @ SV87 @ SV92 )
| ! [SY162: $i] :
~ ( h_both @ SV87 @ SY162 ) )
= $true )
| ( ( ( g_false_only @ SV87 @ SV92 )
| ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(473,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV93: $i] :
( ( ( ! [SY168: $i] :
( ~ ( g_both @ SV93 @ SY168 )
| ! [SY169: $i] :
~ ( h_both @ SV93 @ SY169 )
| ( g_false_only @ SV93 @ SY168 )
| ( h_true_only @ SV93 @ ( sK13_C @ SY168 @ SV93 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(474,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(475,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(476,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(477,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ~ ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) )
= $false )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(478,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(479,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(480,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
| ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(481,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV90: $i,SV77: $i,SV69: $i] :
( ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(482,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( h_both @ SV78 @ SV94 ) )
= $true )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( ( g_false_only @ SV78 @ SV84 )
| ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(483,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( h_both @ SV79 @ SV95 ) )
= $true )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( ( g_false_only @ SV79 @ SV85 )
| ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(484,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV86: $i] :
( ( ( ~ ( g_both @ SV86 @ SV91 ) )
= $true )
| ( ( ! [SY157: $i] :
~ ( h_both @ SV86 @ SY157 ) )
= $true )
| ( ( ( g_false_only @ SV86 @ SV91 )
| ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(485,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV87: $i] :
( ( ( ~ ( g_both @ SV87 @ SV92 ) )
= $true )
| ( ( ! [SY162: $i] :
~ ( h_both @ SV87 @ SY162 ) )
= $true )
| ( ( ( g_false_only @ SV87 @ SV92 )
| ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(486,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV93: $i] :
( ( ( ~ ( g_both @ SV93 @ SV96 )
| ! [SY169: $i] :
~ ( h_both @ SV93 @ SY169 )
| ( g_false_only @ SV93 @ SV96 )
| ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(487,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(488,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
| ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(489,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) )
| ( g_both @ SV59 @ ( sK12_B @ SV59 ) ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(490,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ! [SY124: $i] :
( ( h_both @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 )
| ( h_false_only @ SV59 @ SY124 ) ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(491,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(492,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
| ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(493,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(494,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(495,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
| ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(496,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( ( g_false_only @ SV78 @ SV84 )
| ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(497,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( ( g_false_only @ SV79 @ SV85 )
| ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(498,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV86: $i] :
( ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( ! [SY157: $i] :
~ ( h_both @ SV86 @ SY157 ) )
= $true )
| ( ( ( g_false_only @ SV86 @ SV91 )
| ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(499,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV87: $i] :
( ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( ! [SY162: $i] :
~ ( h_both @ SV87 @ SY162 ) )
= $true )
| ( ( ( g_false_only @ SV87 @ SV92 )
| ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(500,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV93: $i] :
( ( ( ~ ( g_both @ SV93 @ SV96 )
| ! [SY169: $i] :
~ ( h_both @ SV93 @ SY169 ) )
= $true )
| ( ( ( g_false_only @ SV93 @ SV96 )
| ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(501,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
= $true )
| ( ( g_both @ SV59 @ ( sK12_B @ SV59 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(502,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
= $true )
| ( ( ! [SY122: $i] : ( h_false_only @ SV59 @ SY122 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(503,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV59: $i] :
( ( ( ! [SY123: $i] :
( ( h_both @ SV59 @ SY123 )
| ( h_false_only @ SV59 @ SY123 ) ) )
= $true )
| ( ( g_both @ SV59 @ ( sK12_B @ SV59 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(504,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV97: $i,SV59: $i] :
( ( ( ( h_both @ SV59 @ SV97 )
| ( h_false_only @ SV59 @ SV97 )
| ( h_false_only @ SV59 @ SV97 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(505,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(506,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(507,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(508,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ~ ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) )
= $false )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(509,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(510,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(511,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(512,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(513,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV94: $i,SV84: $i,SV78: $i] :
( ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(514,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV95: $i,SV85: $i,SV79: $i] :
( ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(515,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( h_both @ SV86 @ SV98 ) )
= $true )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( ( g_false_only @ SV86 @ SV91 )
| ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(516,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( h_both @ SV87 @ SV99 ) )
= $true )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( ( g_false_only @ SV87 @ SV92 )
| ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(517,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV93: $i] :
( ( ( ~ ( g_both @ SV93 @ SV96 ) )
= $true )
| ( ( ! [SY169: $i] :
~ ( h_both @ SV93 @ SY169 ) )
= $true )
| ( ( ( g_false_only @ SV93 @ SV96 )
| ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(518,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV100: $i,SV59: $i] :
( ( ( h_false_only @ SV59 @ SV100 )
= $true )
| ( ( g_true_only @ SV59 @ ( sK12_B @ SV59 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(519,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV101: $i,SV59: $i] :
( ( ( ( h_both @ SV59 @ SV101 )
| ( h_false_only @ SV59 @ SV101 ) )
= $true )
| ( ( g_both @ SV59 @ ( sK12_B @ SV59 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(520,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV97: $i,SV59: $i] :
( ( ( ( h_both @ SV59 @ SV97 )
| ( h_false_only @ SV59 @ SV97 ) )
= $true )
| ( ( h_false_only @ SV59 @ SV97 )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(521,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(522,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
| ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(523,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) )
| ( g_both @ SV61 @ ( sK12_B @ SV61 ) ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(524,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ! [SY130: $i] :
( ( h_both @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 )
| ( h_false_only @ SV61 @ SY130 ) ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(525,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(526,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
| ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(527,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(528,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(529,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
| ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(530,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
| ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(531,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( ( g_false_only @ SV86 @ SV91 )
| ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(532,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( ( g_false_only @ SV87 @ SV92 )
| ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(533,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV93: $i] :
( ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( ! [SY169: $i] :
~ ( h_both @ SV93 @ SY169 ) )
= $true )
| ( ( ( g_false_only @ SV93 @ SV96 )
| ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(534,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV101: $i,SV59: $i] :
( ( ( h_both @ SV59 @ SV101 )
= $true )
| ( ( h_false_only @ SV59 @ SV101 )
= $true )
| ( ( g_both @ SV59 @ ( sK12_B @ SV59 ) )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(535,plain,
! [SV58: $i,SV44: $i,SV49: $i,SV41: $i,SV60: $i,SV70: $i,SV97: $i,SV59: $i] :
( ( ( h_both @ SV59 @ SV97 )
= $true )
| ( ( h_false_only @ SV59 @ SV97 )
= $true )
| ( ( h_false_only @ SV59 @ SV97 )
= $true )
| ( ( h_both @ SV59 @ SV70 )
= $false )
| ( ( g_both @ SV59 @ SV60 )
= $false )
| ( ( h_true_only @ SV59 @ ( sK13_C @ SV60 @ SV59 ) )
= $true )
| ( ( g_false_only @ SV59 @ SV60 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK23_SY69 )
= $true )
| ( ( h_false_only @ sK14_A @ SV58 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(536,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
= $true )
| ( ( g_both @ SV61 @ ( sK12_B @ SV61 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(537,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
= $true )
| ( ( ! [SY128: $i] : ( h_false_only @ SV61 @ SY128 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(538,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV61: $i] :
( ( ( ! [SY129: $i] :
( ( h_both @ SV61 @ SY129 )
| ( h_false_only @ SV61 @ SY129 ) ) )
= $true )
| ( ( g_both @ SV61 @ ( sK12_B @ SV61 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(539,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV102: $i,SV61: $i] :
( ( ( ( h_both @ SV61 @ SV102 )
| ( h_false_only @ SV61 @ SV102 )
| ( h_false_only @ SV61 @ SV102 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(540,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(541,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(542,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(543,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ~ ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) )
= $false )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(544,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(545,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
| ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(546,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(547,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(548,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(549,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(550,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV98: $i,SV91: $i,SV86: $i] :
( ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(551,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV99: $i,SV92: $i,SV87: $i] :
( ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(552,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( h_both @ SV93 @ SV103 ) )
= $true )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( ( g_false_only @ SV93 @ SV96 )
| ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(553,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV104: $i,SV61: $i] :
( ( ( h_false_only @ SV61 @ SV104 )
= $true )
| ( ( g_true_only @ SV61 @ ( sK12_B @ SV61 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(554,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV105: $i,SV61: $i] :
( ( ( ( h_both @ SV61 @ SV105 )
| ( h_false_only @ SV61 @ SV105 ) )
= $true )
| ( ( g_both @ SV61 @ ( sK12_B @ SV61 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(555,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV102: $i,SV61: $i] :
( ( ( ( h_both @ SV61 @ SV102 )
| ( h_false_only @ SV61 @ SV102 ) )
= $true )
| ( ( h_false_only @ SV61 @ SV102 )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(556,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(557,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
| ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(558,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) )
| ( g_both @ SV66 @ ( sK12_B @ SV66 ) ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(559,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ! [SY136: $i] :
( ( h_both @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 )
| ( h_false_only @ SV66 @ SY136 ) ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(560,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(561,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(562,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(563,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ~ ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) )
= $false )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(564,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(565,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(566,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(567,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(568,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
| ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(569,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
| ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(570,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( ( g_false_only @ SV93 @ SV96 )
| ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(571,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV105: $i,SV61: $i] :
( ( ( h_both @ SV61 @ SV105 )
= $true )
| ( ( h_false_only @ SV61 @ SV105 )
= $true )
| ( ( g_both @ SV61 @ ( sK12_B @ SV61 ) )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(572,plain,
! [SV44: $i,SV49: $i,SV41: $i,SV65: $i,SV83: $i,SV102: $i,SV61: $i] :
( ( ( h_both @ SV61 @ SV102 )
= $true )
| ( ( h_false_only @ SV61 @ SV102 )
= $true )
| ( ( h_false_only @ SV61 @ SV102 )
= $true )
| ( ( h_both @ SV61 @ SV83 )
= $false )
| ( ( g_both @ SV61 @ SV65 )
= $false )
| ( ( h_true_only @ SV61 @ ( sK13_C @ SV65 @ SV61 ) )
= $true )
| ( ( g_false_only @ SV61 @ SV65 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK21_SY72 )
= $true )
| ( ( g_true_only @ sK14_A @ sK22_SY71 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(573,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
= $true )
| ( ( g_both @ SV66 @ ( sK12_B @ SV66 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(574,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
= $true )
| ( ( ! [SY134: $i] : ( h_false_only @ SV66 @ SY134 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(575,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV66: $i] :
( ( ( ! [SY135: $i] :
( ( h_both @ SV66 @ SY135 )
| ( h_false_only @ SV66 @ SY135 ) ) )
= $true )
| ( ( g_both @ SV66 @ ( sK12_B @ SV66 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(576,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV106: $i,SV66: $i] :
( ( ( ( h_both @ SV66 @ SV106 )
| ( h_false_only @ SV66 @ SV106 )
| ( h_false_only @ SV66 @ SV106 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(577,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(578,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
| ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(579,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) )
| ( g_both @ SV69 @ ( sK12_B @ SV69 ) ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(580,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ! [SY141: $i] :
( ( h_both @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 )
| ( h_false_only @ SV69 @ SY141 ) ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(581,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(582,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
| ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(583,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(584,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
| ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(585,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(586,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(587,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(588,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(589,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV103: $i,SV96: $i,SV93: $i] :
( ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) ) )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(590,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV107: $i,SV66: $i] :
( ( ( h_false_only @ SV66 @ SV107 )
= $true )
| ( ( g_true_only @ SV66 @ ( sK12_B @ SV66 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(591,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV108: $i,SV66: $i] :
( ( ( ( h_both @ SV66 @ SV108 )
| ( h_false_only @ SV66 @ SV108 ) )
= $true )
| ( ( g_both @ SV66 @ ( sK12_B @ SV66 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(592,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV106: $i,SV66: $i] :
( ( ( ( h_both @ SV66 @ SV106 )
| ( h_false_only @ SV66 @ SV106 ) )
= $true )
| ( ( h_false_only @ SV66 @ SV106 )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(593,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
= $true )
| ( ( g_both @ SV69 @ ( sK12_B @ SV69 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(594,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
= $true )
| ( ( ! [SY139: $i] : ( h_false_only @ SV69 @ SY139 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(595,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV69: $i] :
( ( ( ! [SY140: $i] :
( ( h_both @ SV69 @ SY140 )
| ( h_false_only @ SV69 @ SY140 ) ) )
= $true )
| ( ( g_both @ SV69 @ ( sK12_B @ SV69 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(596,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV109: $i,SV69: $i] :
( ( ( ( h_both @ SV69 @ SV109 )
| ( h_false_only @ SV69 @ SV109 )
| ( h_false_only @ SV69 @ SV109 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(597,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(598,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(599,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(600,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ~ ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) )
= $false )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(601,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(602,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(603,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(604,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ~ ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) )
= $false )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(605,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(606,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(607,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(608,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(609,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
| ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(610,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV108: $i,SV66: $i] :
( ( ( h_both @ SV66 @ SV108 )
= $true )
| ( ( h_false_only @ SV66 @ SV108 )
= $true )
| ( ( g_both @ SV66 @ ( sK12_B @ SV66 ) )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(611,plain,
! [SV62: $i,SV44: $i,SV49: $i,SV41: $i,SV71: $i,SV89: $i,SV106: $i,SV66: $i] :
( ( ( h_both @ SV66 @ SV106 )
= $true )
| ( ( h_false_only @ SV66 @ SV106 )
= $true )
| ( ( h_false_only @ SV66 @ SV106 )
= $true )
| ( ( h_both @ SV66 @ SV89 )
= $false )
| ( ( g_both @ SV66 @ SV71 )
= $false )
| ( ( h_true_only @ SV66 @ ( sK13_C @ SV71 @ SV66 ) )
= $true )
| ( ( g_false_only @ SV66 @ SV71 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_true_only @ sK14_A @ sK20_SY73 )
= $true )
| ( ( g_true_only @ sK14_A @ SV62 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(612,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV110: $i,SV69: $i] :
( ( ( h_false_only @ SV69 @ SV110 )
= $true )
| ( ( g_true_only @ SV69 @ ( sK12_B @ SV69 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(613,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV111: $i,SV69: $i] :
( ( ( ( h_both @ SV69 @ SV111 )
| ( h_false_only @ SV69 @ SV111 ) )
= $true )
| ( ( g_both @ SV69 @ ( sK12_B @ SV69 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(614,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV109: $i,SV69: $i] :
( ( ( ( h_both @ SV69 @ SV109 )
| ( h_false_only @ SV69 @ SV109 ) )
= $true )
| ( ( h_false_only @ SV69 @ SV109 )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(615,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(616,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
| ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(617,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) )
| ( g_both @ SV78 @ ( sK12_B @ SV78 ) ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(618,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ! [SY148: $i] :
( ( h_both @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 )
| ( h_false_only @ SV78 @ SY148 ) ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(619,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(620,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
| ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(621,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) )
| ( g_both @ SV79 @ ( sK12_B @ SV79 ) ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(622,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ! [SY153: $i] :
( ( h_both @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 )
| ( h_false_only @ SV79 @ SY153 ) ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(623,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(624,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
| ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(625,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(626,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
| ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(627,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(628,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(629,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV111: $i,SV69: $i] :
( ( ( h_both @ SV69 @ SV111 )
= $true )
| ( ( h_false_only @ SV69 @ SV111 )
= $true )
| ( ( g_both @ SV69 @ ( sK12_B @ SV69 ) )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(630,plain,
! [SV67: $i,SV63: $i,SV44: $i,SV49: $i,SV41: $i,SV77: $i,SV90: $i,SV109: $i,SV69: $i] :
( ( ( h_both @ SV69 @ SV109 )
= $true )
| ( ( h_false_only @ SV69 @ SV109 )
= $true )
| ( ( h_false_only @ SV69 @ SV109 )
= $true )
| ( ( h_both @ SV69 @ SV90 )
= $false )
| ( ( g_both @ SV69 @ SV77 )
= $false )
| ( ( h_true_only @ SV69 @ ( sK13_C @ SV77 @ SV69 ) )
= $true )
| ( ( g_false_only @ SV69 @ SV77 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV63 )
= $true )
| ( ( h_both @ sK14_A @ sK19_SY76 )
= $true )
| ( ( h_false_only @ sK14_A @ SV67 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(631,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
= $true )
| ( ( g_both @ SV78 @ ( sK12_B @ SV78 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(632,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
= $true )
| ( ( ! [SY146: $i] : ( h_false_only @ SV78 @ SY146 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(633,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV78: $i] :
( ( ( ! [SY147: $i] :
( ( h_both @ SV78 @ SY147 )
| ( h_false_only @ SV78 @ SY147 ) ) )
= $true )
| ( ( g_both @ SV78 @ ( sK12_B @ SV78 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(634,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV112: $i,SV78: $i] :
( ( ( ( h_both @ SV78 @ SV112 )
| ( h_false_only @ SV78 @ SV112 )
| ( h_false_only @ SV78 @ SV112 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(635,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
= $true )
| ( ( g_both @ SV79 @ ( sK12_B @ SV79 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(636,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
= $true )
| ( ( ! [SY151: $i] : ( h_false_only @ SV79 @ SY151 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(637,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV79: $i] :
( ( ( ! [SY152: $i] :
( ( h_both @ SV79 @ SY152 )
| ( h_false_only @ SV79 @ SY152 ) ) )
= $true )
| ( ( g_both @ SV79 @ ( sK12_B @ SV79 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(638,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV113: $i,SV79: $i] :
( ( ( ( h_both @ SV79 @ SV113 )
| ( h_false_only @ SV79 @ SV113 )
| ( h_false_only @ SV79 @ SV113 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(639,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(640,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(641,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(642,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ~ ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) )
= $false )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(643,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(644,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(645,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(646,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ~ ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) )
= $false )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(647,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(648,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(649,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV114: $i,SV78: $i] :
( ( ( h_false_only @ SV78 @ SV114 )
= $true )
| ( ( g_true_only @ SV78 @ ( sK12_B @ SV78 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(650,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV115: $i,SV78: $i] :
( ( ( ( h_both @ SV78 @ SV115 )
| ( h_false_only @ SV78 @ SV115 ) )
= $true )
| ( ( g_both @ SV78 @ ( sK12_B @ SV78 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(651,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV112: $i,SV78: $i] :
( ( ( ( h_both @ SV78 @ SV112 )
| ( h_false_only @ SV78 @ SV112 ) )
= $true )
| ( ( h_false_only @ SV78 @ SV112 )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(652,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV116: $i,SV79: $i] :
( ( ( h_false_only @ SV79 @ SV116 )
= $true )
| ( ( g_true_only @ SV79 @ ( sK12_B @ SV79 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(653,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV117: $i,SV79: $i] :
( ( ( ( h_both @ SV79 @ SV117 )
| ( h_false_only @ SV79 @ SV117 ) )
= $true )
| ( ( g_both @ SV79 @ ( sK12_B @ SV79 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(654,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV113: $i,SV79: $i] :
( ( ( ( h_both @ SV79 @ SV113 )
| ( h_false_only @ SV79 @ SV113 ) )
= $true )
| ( ( h_false_only @ SV79 @ SV113 )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(655,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(656,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
| ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(657,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) )
| ( g_both @ SV86 @ ( sK12_B @ SV86 ) ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(658,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ! [SY160: $i] :
( ( h_both @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 )
| ( h_false_only @ SV86 @ SY160 ) ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(659,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(660,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
| ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(661,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) )
| ( g_both @ SV87 @ ( sK12_B @ SV87 ) ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(662,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ! [SY165: $i] :
( ( h_both @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 )
| ( h_false_only @ SV87 @ SY165 ) ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(663,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(664,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
| ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(665,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV115: $i,SV78: $i] :
( ( ( h_both @ SV78 @ SV115 )
= $true )
| ( ( h_false_only @ SV78 @ SV115 )
= $true )
| ( ( g_both @ SV78 @ ( sK12_B @ SV78 ) )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(666,plain,
! [SV72: $i,SV64: $i,SV68: $i,SV44: $i,SV49: $i,SV41: $i,SV84: $i,SV94: $i,SV112: $i,SV78: $i] :
( ( ( h_both @ SV78 @ SV112 )
= $true )
| ( ( h_false_only @ SV78 @ SV112 )
= $true )
| ( ( h_false_only @ SV78 @ SV112 )
= $true )
| ( ( h_both @ SV78 @ SV94 )
= $false )
| ( ( g_both @ SV78 @ SV84 )
= $false )
| ( ( h_true_only @ SV78 @ ( sK13_C @ SV84 @ SV78 ) )
= $true )
| ( ( g_false_only @ SV78 @ SV84 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV68 )
= $false )
| ( ( h_false_only @ sK14_A @ SV64 )
= $true )
| ( ( h_false_only @ sK14_A @ SV72 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(667,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV117: $i,SV79: $i] :
( ( ( h_both @ SV79 @ SV117 )
= $true )
| ( ( h_false_only @ SV79 @ SV117 )
= $true )
| ( ( g_both @ SV79 @ ( sK12_B @ SV79 ) )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(668,plain,
! [SV73: $i,SV44: $i,SV49: $i,SV41: $i,SV85: $i,SV95: $i,SV113: $i,SV79: $i] :
( ( ( h_both @ SV79 @ SV113 )
= $true )
| ( ( h_false_only @ SV79 @ SV113 )
= $true )
| ( ( h_false_only @ SV79 @ SV113 )
= $true )
| ( ( h_both @ SV79 @ SV95 )
= $false )
| ( ( g_both @ SV79 @ SV85 )
= $false )
| ( ( h_true_only @ SV79 @ ( sK13_C @ SV85 @ SV79 ) )
= $true )
| ( ( g_false_only @ SV79 @ SV85 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK17_SY83 )
= $true )
| ( ( h_both @ sK14_A @ sK18_SY82 )
= $true )
| ( ( h_false_only @ sK14_A @ SV73 )
= $true )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(669,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
= $true )
| ( ( g_both @ SV86 @ ( sK12_B @ SV86 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(670,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
= $true )
| ( ( ! [SY158: $i] : ( h_false_only @ SV86 @ SY158 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(671,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV86: $i] :
( ( ( ! [SY159: $i] :
( ( h_both @ SV86 @ SY159 )
| ( h_false_only @ SV86 @ SY159 ) ) )
= $true )
| ( ( g_both @ SV86 @ ( sK12_B @ SV86 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(672,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV118: $i,SV86: $i] :
( ( ( ( h_both @ SV86 @ SV118 )
| ( h_false_only @ SV86 @ SV118 )
| ( h_false_only @ SV86 @ SV118 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(673,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
= $true )
| ( ( g_both @ SV87 @ ( sK12_B @ SV87 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(674,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
= $true )
| ( ( ! [SY163: $i] : ( h_false_only @ SV87 @ SY163 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(675,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV87: $i] :
( ( ( ! [SY164: $i] :
( ( h_both @ SV87 @ SY164 )
| ( h_false_only @ SV87 @ SY164 ) ) )
= $true )
| ( ( g_both @ SV87 @ ( sK12_B @ SV87 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(676,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV119: $i,SV87: $i] :
( ( ( ( h_both @ SV87 @ SV119 )
| ( h_false_only @ SV87 @ SV119 )
| ( h_false_only @ SV87 @ SV119 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(677,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(678,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(679,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(680,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ~ ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) )
= $false )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(681,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV120: $i,SV86: $i] :
( ( ( h_false_only @ SV86 @ SV120 )
= $true )
| ( ( g_true_only @ SV86 @ ( sK12_B @ SV86 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(682,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV121: $i,SV86: $i] :
( ( ( ( h_both @ SV86 @ SV121 )
| ( h_false_only @ SV86 @ SV121 ) )
= $true )
| ( ( g_both @ SV86 @ ( sK12_B @ SV86 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(683,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV118: $i,SV86: $i] :
( ( ( ( h_both @ SV86 @ SV118 )
| ( h_false_only @ SV86 @ SV118 ) )
= $true )
| ( ( h_false_only @ SV86 @ SV118 )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(684,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV122: $i,SV87: $i] :
( ( ( h_false_only @ SV87 @ SV122 )
= $true )
| ( ( g_true_only @ SV87 @ ( sK12_B @ SV87 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(685,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV123: $i,SV87: $i] :
( ( ( ( h_both @ SV87 @ SV123 )
| ( h_false_only @ SV87 @ SV123 ) )
= $true )
| ( ( g_both @ SV87 @ ( sK12_B @ SV87 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(686,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV119: $i,SV87: $i] :
( ( ( ( h_both @ SV87 @ SV119 )
| ( h_false_only @ SV87 @ SV119 ) )
= $true )
| ( ( h_false_only @ SV87 @ SV119 )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(687,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(688,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
| ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(689,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) )
| ( g_both @ SV93 @ ( sK12_B @ SV93 ) ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(690,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ! [SY172: $i] :
( ( h_both @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 )
| ( h_false_only @ SV93 @ SY172 ) ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(691,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV121: $i,SV86: $i] :
( ( ( h_both @ SV86 @ SV121 )
= $true )
| ( ( h_false_only @ SV86 @ SV121 )
= $true )
| ( ( g_both @ SV86 @ ( sK12_B @ SV86 ) )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(692,plain,
! [SV80: $i,SV74: $i,SV44: $i,SV49: $i,SV41: $i,SV91: $i,SV98: $i,SV118: $i,SV86: $i] :
( ( ( h_both @ SV86 @ SV118 )
= $true )
| ( ( h_false_only @ SV86 @ SV118 )
= $true )
| ( ( h_false_only @ SV86 @ SV118 )
= $true )
| ( ( h_both @ SV86 @ SV98 )
= $false )
| ( ( g_both @ SV86 @ SV91 )
= $false )
| ( ( h_true_only @ SV86 @ ( sK13_C @ SV91 @ SV86 ) )
= $true )
| ( ( g_false_only @ SV86 @ SV91 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( g_both @ sK14_A @ sK16_SY86 )
= $true )
| ( ( h_false_only @ sK14_A @ SV74 )
= $true )
| ( ( h_true_only @ sK14_A @ SV80 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(693,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV123: $i,SV87: $i] :
( ( ( h_both @ SV87 @ SV123 )
= $true )
| ( ( h_false_only @ SV87 @ SV123 )
= $true )
| ( ( g_both @ SV87 @ ( sK12_B @ SV87 ) )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(694,plain,
! [SV81: $i,SV75: $i,SV44: $i,SV49: $i,SV41: $i,SV92: $i,SV99: $i,SV119: $i,SV87: $i] :
( ( ( h_both @ SV87 @ SV119 )
= $true )
| ( ( h_false_only @ SV87 @ SV119 )
= $true )
| ( ( h_false_only @ SV87 @ SV119 )
= $true )
| ( ( h_both @ SV87 @ SV99 )
= $false )
| ( ( g_both @ SV87 @ SV92 )
= $false )
| ( ( h_true_only @ SV87 @ ( sK13_C @ SV92 @ SV87 ) )
= $true )
| ( ( g_false_only @ SV87 @ SV92 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_false_only @ sK14_A @ SV75 )
= $true )
| ( ( h_both @ sK14_A @ sK15_SY88 )
= $true )
| ( ( g_true_only @ sK14_A @ SV81 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(695,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
= $true )
| ( ( g_both @ SV93 @ ( sK12_B @ SV93 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(696,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
= $true )
| ( ( ! [SY170: $i] : ( h_false_only @ SV93 @ SY170 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(697,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV93: $i] :
( ( ( ! [SY171: $i] :
( ( h_both @ SV93 @ SY171 )
| ( h_false_only @ SV93 @ SY171 ) ) )
= $true )
| ( ( g_both @ SV93 @ ( sK12_B @ SV93 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(698,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV124: $i,SV93: $i] :
( ( ( ( h_both @ SV93 @ SV124 )
| ( h_false_only @ SV93 @ SV124 )
| ( h_false_only @ SV93 @ SV124 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(699,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV125: $i,SV93: $i] :
( ( ( h_false_only @ SV93 @ SV125 )
= $true )
| ( ( g_true_only @ SV93 @ ( sK12_B @ SV93 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(700,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV126: $i,SV93: $i] :
( ( ( ( h_both @ SV93 @ SV126 )
| ( h_false_only @ SV93 @ SV126 ) )
= $true )
| ( ( g_both @ SV93 @ ( sK12_B @ SV93 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(701,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV124: $i,SV93: $i] :
( ( ( ( h_both @ SV93 @ SV124 )
| ( h_false_only @ SV93 @ SV124 ) )
= $true )
| ( ( h_false_only @ SV93 @ SV124 )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(702,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV126: $i,SV93: $i] :
( ( ( h_both @ SV93 @ SV126 )
= $true )
| ( ( h_false_only @ SV93 @ SV126 )
= $true )
| ( ( g_both @ SV93 @ ( sK12_B @ SV93 ) )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(703,plain,
! [SV88: $i,SV76: $i,SV82: $i,SV44: $i,SV49: $i,SV41: $i,SV96: $i,SV103: $i,SV124: $i,SV93: $i] :
( ( ( h_both @ SV93 @ SV124 )
= $true )
| ( ( h_false_only @ SV93 @ SV124 )
= $true )
| ( ( h_false_only @ SV93 @ SV124 )
= $true )
| ( ( h_both @ SV93 @ SV103 )
= $false )
| ( ( g_both @ SV93 @ SV96 )
= $false )
| ( ( h_true_only @ SV93 @ ( sK13_C @ SV96 @ SV93 ) )
= $true )
| ( ( g_false_only @ SV93 @ SV96 )
= $true )
| ( ( h_both @ SV41 @ SV49 )
= $false )
| ( ( g_true_only @ SV41 @ ( sK25_B @ SV41 ) )
= $true )
| ( ( g_both @ SV41 @ SV44 )
= $false )
| ( ( h_true_only @ SV41 @ ( sK24_B @ SV41 ) )
= $true )
| ( ( h_true_only @ sK14_A @ SV82 )
= $false )
| ( ( h_false_only @ sK14_A @ SV76 )
= $true )
| ( ( g_true_only @ sK14_A @ SV88 )
= $false )
| ( sK28_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(704,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[87,703,702,699,695,694,693,692,691,684,681,673,669,668,667,666,665,652,649,635,631,630,629,612,611,610,593,590,573,572,571,553,536,535,534,518,501,349,338,331,330,327,310,300,299,292,289,282,281,277,268,242,241,233,232,230,228,220,219,217,215,214,213,200,193,190,187,175,172,88]) ).
thf(705,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO606+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 600
% 0.20/0.34 % DateTime : Fri Jul 8 22:00:25 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.36
% 0.20/0.36 No.of.Axioms: 8
% 0.20/0.36
% 0.20/0.36 Length.of.Defs: 0
% 0.20/0.36
% 0.20/0.36 Contains.Choice.Funs: false
% 0.20/0.37 (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:10,loop_count:0,foatp_calls:0,translation:fof_full)............................................................................
% 1.36/1.62
% 1.36/1.62 ********************************
% 1.36/1.62 * All subproblems solved! *
% 1.36/1.62 ********************************
% 1.36/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:704,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.83/2.02
% 1.83/2.02 %**** Beginning of derivation protocol ****
% 1.83/2.02 % SZS output start CNFRefutation
% See solution above
% 1.83/2.03
% 1.83/2.03 %**** End of derivation protocol ****
% 1.83/2.03 %**** no. of clauses in derivation: 705 ****
% 1.83/2.03 %**** clause counter: 704 ****
% 1.83/2.03
% 1.83/2.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:704,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------