TSTP Solution File: SEV515+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV515+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 : n016.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 : Tue Jul 19 17:37:02 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 14
% Syntax : Number of formulae : 267 ( 114 unt; 9 typ; 0 def)
% Number of atoms : 3279 ( 603 equ; 0 cnn)
% Maximal formula atoms : 24 ( 12 avg)
% Number of connectives : 8595 (1136 ~;1711 |; 96 &;5644 @)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 626 ( 0 ^ 606 !; 20 ?; 626 :)
% 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_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_B,type,
sK2_B: $i > $i ).
thf(tp_sK3_A,type,
sK3_A: $i ).
thf(tp_sK4_REN,type,
sK4_REN: $o ).
thf(1,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/sandbox/benchmark/theBenchmark.p',exhaustion_g) ).
thf(2,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/sandbox/benchmark/theBenchmark.p',false_only_g) ).
thf(3,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/sandbox/benchmark/theBenchmark.p',both_g) ).
thf(4,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/sandbox/benchmark/theBenchmark.p',true_only_g) ).
thf(5,conjecture,
( ! [A: $i] :
? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] :
( ( g_both @ B @ A )
& ( g_both @ B @ B ) )
& ~ ? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) ) )
& ~ ? [A: $i] :
! [B: $i] :
( ( ( g_true_only @ B @ A )
& ( g_false_only @ B @ B ) )
| ( ( g_false_only @ B @ A )
& ( g_true_only @ B @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nc1) ).
thf(6,negated_conjecture,
( ( ! [A: $i] :
? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] :
( ( g_both @ B @ A )
& ( g_both @ B @ B ) )
& ~ ? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) ) )
& ~ ? [A: $i] :
! [B: $i] :
( ( ( g_true_only @ B @ A )
& ( g_false_only @ B @ B ) )
| ( ( g_false_only @ B @ A )
& ( g_true_only @ B @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ! [A: $i] :
? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] :
( ( g_both @ B @ A )
& ( g_both @ B @ B ) )
& ~ ? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) ) )
& ~ ? [A: $i] :
! [B: $i] :
( ( ( g_true_only @ B @ A )
& ( g_false_only @ B @ B ) )
| ( ( g_false_only @ B @ A )
& ( g_true_only @ B @ B ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,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)],[1]) ).
thf(9,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)],[2]) ).
thf(10,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)],[3]) ).
thf(11,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)],[4]) ).
thf(12,plain,
( ( ~ ( ! [A: $i] :
? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) )
| ( ? [A: $i] :
( ? [B: $i] :
( ( g_both @ B @ A )
& ( g_both @ B @ B ) )
& ~ ? [B: $i] :
( ( ( g_true_only @ B @ A )
& ( ( g_both @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_both @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) ) )
| ( ( g_false_only @ B @ A )
& ( ( g_false_only @ B @ B )
| ( g_both @ B @ B ) ) ) ) )
& ~ ? [A: $i] :
! [B: $i] :
( ( ( g_true_only @ B @ A )
& ( g_false_only @ B @ B ) )
| ( ( g_false_only @ B @ A )
& ( g_true_only @ B @ B ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [SY19: $i] :
( ~ ( g_false_only @ SY19 @ sK3_A )
| ~ ( g_both @ SY19 @ SY19 ) )
& ! [SY20: $i] :
( ~ ( g_false_only @ SY20 @ sK3_A )
| ~ ( g_false_only @ SY20 @ SY20 ) )
& ! [SY21: $i] :
( ~ ( g_true_only @ SY21 @ sK3_A )
| ~ ( g_both @ SY21 @ SY21 ) )
& ! [SY22: $i] :
( ~ ( g_true_only @ SY22 @ sK3_A )
| ~ ( g_true_only @ SY22 @ SY22 ) )
& ! [SY23: $i] :
( ~ ( g_both @ SY23 @ sK3_A )
| ~ ( g_false_only @ SY23 @ SY23 ) )
& ! [SY24: $i] :
( ~ ( g_both @ SY24 @ sK3_A )
| ~ ( g_true_only @ SY24 @ SY24 ) )
& ( ! [A: $i] :
( ! [B: $i] :
( ~ ( g_both @ B @ A )
| ~ ( g_both @ B @ B ) )
| ( ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) )
& ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) ) ) )
| sK4_REN )
& ( sK4_REN
=> ( ! [SY15: $i] :
( ( g_false_only @ SY15 @ SY15 )
| ( g_false_only @ SY15 @ sK1_A ) )
& ! [B: $i] :
( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) )
& ! [SY17: $i] :
( ( g_true_only @ SY17 @ sK1_A )
| ( g_false_only @ SY17 @ sK1_A ) )
& ! [SY18: $i] :
( ( g_true_only @ SY18 @ sK1_A )
| ( g_true_only @ SY18 @ SY18 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(14,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)],[8]) ).
thf(15,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)],[9]) ).
thf(16,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)],[10]) ).
thf(17,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)],[11]) ).
thf(18,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)],[17]) ).
thf(19,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)],[16]) ).
thf(20,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)],[15]) ).
thf(21,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)],[14]) ).
thf(22,plain,
( ( ! [SY19: $i] :
( ~ ( g_false_only @ SY19 @ sK3_A )
| ~ ( g_both @ SY19 @ SY19 ) )
& ! [SY20: $i] :
( ~ ( g_false_only @ SY20 @ sK3_A )
| ~ ( g_false_only @ SY20 @ SY20 ) )
& ! [SY21: $i] :
( ~ ( g_true_only @ SY21 @ sK3_A )
| ~ ( g_both @ SY21 @ SY21 ) )
& ! [SY22: $i] :
( ~ ( g_true_only @ SY22 @ sK3_A )
| ~ ( g_true_only @ SY22 @ SY22 ) )
& ! [SY23: $i] :
( ~ ( g_both @ SY23 @ sK3_A )
| ~ ( g_false_only @ SY23 @ SY23 ) )
& ! [SY24: $i] :
( ~ ( g_both @ SY24 @ sK3_A )
| ~ ( g_true_only @ SY24 @ SY24 ) )
& ( ! [A: $i] :
( ! [B: $i] :
( ~ ( g_both @ B @ A )
| ~ ( g_both @ B @ B ) )
| ( ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) )
& ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_false_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ A )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ A ) )
& ( ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_both @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_false_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) )
| ( g_true_only @ ( sK2_B @ A ) @ ( sK2_B @ A ) ) ) ) )
| sK4_REN )
& ( sK4_REN
=> ( ! [SY15: $i] :
( ( g_false_only @ SY15 @ SY15 )
| ( g_false_only @ SY15 @ sK1_A ) )
& ! [B: $i] :
( ( g_false_only @ B @ B )
| ( g_true_only @ B @ B ) )
& ! [SY17: $i] :
( ( g_true_only @ SY17 @ sK1_A )
| ( g_false_only @ SY17 @ sK1_A ) )
& ! [SY18: $i] :
( ( g_true_only @ SY18 @ sK1_A )
| ( g_true_only @ SY18 @ SY18 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(23,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)],[20]) ).
thf(24,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)],[19]) ).
thf(25,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)],[18]) ).
thf(26,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(27,plain,
! [SV1: $i] :
( ( ! [SY25: $i] :
( ( g_false_only @ SV1 @ SY25 )
| ( g_both @ SV1 @ SY25 )
| ( g_true_only @ SV1 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(28,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)],[23]) ).
thf(29,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)],[24]) ).
thf(30,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)],[25]) ).
thf(31,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV2: $i,SV1: $i] :
( ( ( g_false_only @ SV1 @ SV2 )
| ( g_both @ SV1 @ SV2 )
| ( g_true_only @ SV1 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(33,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)],[28]) ).
thf(34,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)],[28]) ).
thf(35,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 )
| ( g_both @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,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)],[29]) ).
thf(37,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)],[30]) ).
thf(38,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)],[30]) ).
thf(39,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(40,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(41,plain,
! [SV2: $i,SV1: $i] :
( ( ( g_false_only @ SV1 @ SV2 )
= $true )
| ( ( ( g_both @ SV1 @ SV2 )
| ( g_true_only @ SV1 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(42,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)],[33]) ).
thf(43,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)],[34]) ).
thf(44,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_false @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 )
| ( g_both @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(45,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)],[36]) ).
thf(46,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)],[37]) ).
thf(47,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)],[38]) ).
thf(48,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(49,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(50,plain,
! [SV2: $i,SV1: $i] :
( ( ( g_both @ SV1 @ SV2 )
= $true )
| ( ( g_true_only @ SV1 @ SV2 )
= $true )
| ( ( g_false_only @ SV1 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(51,plain,
! [SV3: $i] :
( ( ! [SY26: $i] :
( ~ ( g_false @ SV3 @ SY26 )
| ( g_true @ SV3 @ SY26 )
| ( g_false_only @ SV3 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(52,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)],[43]) ).
thf(53,plain,
! [SV4: $i] :
( ( ! [SY27: $i] :
( ~ ( g_false @ SV4 @ SY27 )
| ~ ( g_true @ SV4 @ SY27 )
| ( g_both @ SV4 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(54,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)],[45]) ).
thf(55,plain,
! [SV5: $i] :
( ( ! [SY28: $i] :
( ~ ( g_true @ SV5 @ SY28 )
| ( g_false @ SV5 @ SY28 )
| ( g_true_only @ SV5 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(56,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)],[47]) ).
thf(57,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(58,plain,
( ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(59,plain,
! [SV6: $i,SV3: $i] :
( ( ~ ( g_false @ SV3 @ SV6 )
| ( g_true @ SV3 @ SV6 )
| ( g_false_only @ SV3 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(62,plain,
! [SV7: $i,SV4: $i] :
( ( ~ ( g_false @ SV4 @ SV7 )
| ~ ( g_true @ SV4 @ SV7 )
| ( g_both @ SV4 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(63,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(64,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(65,plain,
! [SV8: $i,SV5: $i] :
( ( ~ ( g_true @ SV5 @ SV8 )
| ( g_false @ SV5 @ SV8 )
| ( g_true_only @ SV5 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(66,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(67,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(68,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(69,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(70,plain,
( ( ~ ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) )
| sK4_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(71,plain,
( ( ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(72,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( g_false @ SV3 @ SV6 )
| ( g_true @ SV3 @ SV6 ) )
= $true )
| ( ( g_false_only @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_false_only @ SX0 @ SX1 )
| ~ ( g_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(75,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( g_false @ SV4 @ SV7 )
| ~ ( g_true @ SV4 @ SV7 ) )
= $true )
| ( ( g_both @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_both @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(78,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( g_true @ SV5 @ SV8 )
| ( g_false @ SV5 @ SV8 ) )
= $true )
| ( ( g_true_only @ SV5 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(79,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ( g_true @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( g_true_only @ SX0 @ SX1 )
| ~ ( g_false @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(81,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(82,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(83,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) )
| sK4_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(84,plain,
( ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(85,plain,
! [SV6: $i,SV3: $i] :
( ( ( ~ ( g_false @ SV3 @ SV6 ) )
= $true )
| ( ( g_true @ SV3 @ SV6 )
= $true )
| ( ( g_false_only @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(86,plain,
! [SV9: $i] :
( ( ! [SY29: $i] :
( ~ ( g_false_only @ SV9 @ SY29 )
| ( g_false @ SV9 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV10: $i] :
( ( ! [SY30: $i] :
( ~ ( g_false_only @ SV10 @ SY30 )
| ~ ( g_true @ SV10 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( g_false @ SV4 @ SV7 ) )
= $true )
| ( ( ~ ( g_true @ SV4 @ SV7 ) )
= $true )
| ( ( g_both @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV11: $i] :
( ( ! [SY31: $i] :
( ~ ( g_both @ SV11 @ SY31 )
| ( g_false @ SV11 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(90,plain,
! [SV12: $i] :
( ( ! [SY32: $i] :
( ~ ( g_both @ SV12 @ SY32 )
| ( g_true @ SV12 @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV8: $i,SV5: $i] :
( ( ( ~ ( g_true @ SV5 @ SV8 ) )
= $true )
| ( ( g_false @ SV5 @ SV8 )
= $true )
| ( ( g_true_only @ SV5 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV13: $i] :
( ( ! [SY33: $i] :
( ~ ( g_true_only @ SV13 @ SY33 )
| ( g_true @ SV13 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(93,plain,
! [SV14: $i] :
( ( ! [SY34: $i] :
( ~ ( g_true_only @ SV14 @ SY34 )
| ~ ( g_false @ SV14 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(94,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(95,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(96,plain,
( ( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( g_both @ SX1 @ SX0 )
| ~ ( g_both @ SX1 @ SX1 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ SX0 )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ SX0 ) )
| ~ ( ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_both @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_false_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) )
| ( g_true_only @ ( sK2_B @ SX0 ) @ ( sK2_B @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(97,plain,
( ( ( ~ sK4_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(98,plain,
! [SV6: $i,SV3: $i] :
( ( ( g_false @ SV3 @ SV6 )
= $false )
| ( ( g_true @ SV3 @ SV6 )
= $true )
| ( ( g_false_only @ SV3 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(99,plain,
! [SV15: $i,SV9: $i] :
( ( ~ ( g_false_only @ SV9 @ SV15 )
| ( g_false @ SV9 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(100,plain,
! [SV16: $i,SV10: $i] :
( ( ~ ( g_false_only @ SV10 @ SV16 )
| ~ ( g_true @ SV10 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV7: $i,SV4: $i] :
( ( ( g_false @ SV4 @ SV7 )
= $false )
| ( ( ~ ( g_true @ SV4 @ SV7 ) )
= $true )
| ( ( g_both @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(102,plain,
! [SV17: $i,SV11: $i] :
( ( ~ ( g_both @ SV11 @ SV17 )
| ( g_false @ SV11 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(103,plain,
! [SV18: $i,SV12: $i] :
( ( ~ ( g_both @ SV12 @ SV18 )
| ( g_true @ SV12 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV8: $i,SV5: $i] :
( ( ( g_true @ SV5 @ SV8 )
= $false )
| ( ( g_false @ SV5 @ SV8 )
= $true )
| ( ( g_true_only @ SV5 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(105,plain,
! [SV19: $i,SV13: $i] :
( ( ~ ( g_true_only @ SV13 @ SV19 )
| ( g_true @ SV13 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV20: $i,SV14: $i] :
( ( ~ ( g_true_only @ SV14 @ SV20 )
| ~ ( g_false @ SV14 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(107,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(108,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(109,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(110,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(111,plain,
! [SV21: $i] :
( ( ( ! [SY35: $i] :
( ~ ( g_both @ SY35 @ SV21 )
| ~ ( g_both @ SY35 @ SY35 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(112,plain,
( ( sK4_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(113,plain,
! [SV15: $i,SV9: $i] :
( ( ( ~ ( g_false_only @ SV9 @ SV15 ) )
= $true )
| ( ( g_false @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV16: $i,SV10: $i] :
( ( ( ~ ( g_false_only @ SV10 @ SV16 ) )
= $true )
| ( ( ~ ( g_true @ SV10 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV7: $i,SV4: $i] :
( ( ( g_true @ SV4 @ SV7 )
= $false )
| ( ( g_false @ SV4 @ SV7 )
= $false )
| ( ( g_both @ SV4 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV17: $i,SV11: $i] :
( ( ( ~ ( g_both @ SV11 @ SV17 ) )
= $true )
| ( ( g_false @ SV11 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV18: $i,SV12: $i] :
( ( ( ~ ( g_both @ SV12 @ SV18 ) )
= $true )
| ( ( g_true @ SV12 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV19: $i,SV13: $i] :
( ( ( ~ ( g_true_only @ SV13 @ SV19 ) )
= $true )
| ( ( g_true @ SV13 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV20: $i,SV14: $i] :
( ( ( ~ ( g_true_only @ SV14 @ SV20 ) )
= $true )
| ( ( ~ ( g_false @ SV14 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(120,plain,
( ( ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(121,plain,
( ( ! [SX0: $i] :
( ~ ( g_false_only @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(122,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(123,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(124,plain,
! [SV21: $i] :
( ( ( ! [SY35: $i] :
( ~ ( g_both @ SY35 @ SV21 )
| ~ ( g_both @ SY35 @ SY35 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(125,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(126,plain,
! [SV15: $i,SV9: $i] :
( ( ( g_false_only @ SV9 @ SV15 )
= $false )
| ( ( g_false @ SV9 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(127,plain,
! [SV16: $i,SV10: $i] :
( ( ( g_false_only @ SV10 @ SV16 )
= $false )
| ( ( ~ ( g_true @ SV10 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(128,plain,
! [SV17: $i,SV11: $i] :
( ( ( g_both @ SV11 @ SV17 )
= $false )
| ( ( g_false @ SV11 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(129,plain,
! [SV18: $i,SV12: $i] :
( ( ( g_both @ SV12 @ SV18 )
= $false )
| ( ( g_true @ SV12 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(130,plain,
! [SV19: $i,SV13: $i] :
( ( ( g_true_only @ SV13 @ SV19 )
= $false )
| ( ( g_true @ SV13 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(131,plain,
! [SV20: $i,SV14: $i] :
( ( ( g_true_only @ SV14 @ SV20 )
= $false )
| ( ( ~ ( g_false @ SV14 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV22: $i] :
( ( ~ ( g_false_only @ SV22 @ sK3_A )
| ~ ( g_both @ SV22 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV23: $i] :
( ( ~ ( g_false_only @ SV23 @ sK3_A )
| ~ ( g_false_only @ SV23 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(134,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(135,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(136,plain,
! [SV21: $i,SV24: $i] :
( ( ( ~ ( g_both @ SV24 @ SV21 )
| ~ ( g_both @ SV24 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(137,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(138,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(139,plain,
! [SV16: $i,SV10: $i] :
( ( ( g_true @ SV10 @ SV16 )
= $false )
| ( ( g_false_only @ SV10 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(140,plain,
! [SV20: $i,SV14: $i] :
( ( ( g_false @ SV14 @ SV20 )
= $false )
| ( ( g_true_only @ SV14 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV22: $i] :
( ( ( ~ ( g_false_only @ SV22 @ sK3_A ) )
= $true )
| ( ( ~ ( g_both @ SV22 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV23: $i] :
( ( ( ~ ( g_false_only @ SV23 @ sK3_A ) )
= $true )
| ( ( ~ ( g_false_only @ SV23 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(143,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(144,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(145,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(146,plain,
( ( ~ ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(147,plain,
! [SV21: $i,SV24: $i] :
( ( ( ~ ( g_both @ SV24 @ SV21 ) )
= $true )
| ( ( ~ ( g_both @ SV24 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(148,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(149,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(150,plain,
! [SV22: $i] :
( ( ( g_false_only @ SV22 @ sK3_A )
= $false )
| ( ( ~ ( g_both @ SV22 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(151,plain,
! [SV23: $i] :
( ( ( g_false_only @ SV23 @ sK3_A )
= $false )
| ( ( ~ ( g_false_only @ SV23 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(152,plain,
( ( ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_both @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(153,plain,
( ( ! [SX0: $i] :
( ~ ( g_true_only @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(154,plain,
( ( ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_false_only @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(155,plain,
( ( ! [SX0: $i] :
( ~ ( g_both @ SX0 @ sK3_A )
| ~ ( g_true_only @ SX0 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(156,plain,
! [SV21: $i,SV24: $i] :
( ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( ~ ( g_both @ SV24 @ SV24 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(157,plain,
( ( ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(158,plain,
( ( ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) )
| ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(159,plain,
! [SV22: $i] :
( ( ( g_both @ SV22 @ SV22 )
= $false )
| ( ( g_false_only @ SV22 @ sK3_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(160,plain,
! [SV23: $i] :
( ( ( g_false_only @ SV23 @ SV23 )
= $false )
| ( ( g_false_only @ SV23 @ sK3_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(161,plain,
! [SV25: $i] :
( ( ~ ( g_true_only @ SV25 @ sK3_A )
| ~ ( g_both @ SV25 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(162,plain,
! [SV26: $i] :
( ( ~ ( g_true_only @ SV26 @ sK3_A )
| ~ ( g_true_only @ SV26 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(163,plain,
! [SV27: $i] :
( ( ~ ( g_both @ SV27 @ sK3_A )
| ~ ( g_false_only @ SV27 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(164,plain,
! [SV28: $i] :
( ( ~ ( g_both @ SV28 @ sK3_A )
| ~ ( g_true_only @ SV28 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(165,plain,
! [SV21: $i,SV24: $i] :
( ( ( g_both @ SV24 @ SV24 )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(166,plain,
( ( ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(167,plain,
( ( ( ~ ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(168,plain,
( ( ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(169,plain,
( ( ( ~ ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(170,plain,
! [SV25: $i] :
( ( ( ~ ( g_true_only @ SV25 @ sK3_A ) )
= $true )
| ( ( ~ ( g_both @ SV25 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(171,plain,
! [SV26: $i] :
( ( ( ~ ( g_true_only @ SV26 @ sK3_A ) )
= $true )
| ( ( ~ ( g_true_only @ SV26 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(172,plain,
! [SV27: $i] :
( ( ( ~ ( g_both @ SV27 @ sK3_A ) )
= $true )
| ( ( ~ ( g_false_only @ SV27 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(173,plain,
! [SV28: $i] :
( ( ( ~ ( g_both @ SV28 @ sK3_A ) )
= $true )
| ( ( ~ ( g_true_only @ SV28 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(174,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(175,plain,
( ( ( ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_false_only @ SX0 @ sK1_A ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(176,plain,
( ( ( ! [SX0: $i] :
( ( g_false_only @ SX0 @ SX0 )
| ( g_true_only @ SX0 @ SX0 ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(177,plain,
( ( ( ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_false_only @ SX0 @ sK1_A ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(178,plain,
( ( ( ! [SX0: $i] :
( ( g_true_only @ SX0 @ sK1_A )
| ( g_true_only @ SX0 @ SX0 ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(179,plain,
! [SV25: $i] :
( ( ( g_true_only @ SV25 @ sK3_A )
= $false )
| ( ( ~ ( g_both @ SV25 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(180,plain,
! [SV26: $i] :
( ( ( g_true_only @ SV26 @ sK3_A )
= $false )
| ( ( ~ ( g_true_only @ SV26 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(181,plain,
! [SV27: $i] :
( ( ( g_both @ SV27 @ sK3_A )
= $false )
| ( ( ~ ( g_false_only @ SV27 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(182,plain,
! [SV28: $i] :
( ( ( g_both @ SV28 @ sK3_A )
= $false )
| ( ( ~ ( g_true_only @ SV28 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(184,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(185,plain,
! [SV29: $i] :
( ( ( ( g_false_only @ SV29 @ SV29 )
| ( g_false_only @ SV29 @ sK1_A ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(186,plain,
! [SV30: $i] :
( ( ( ( g_false_only @ SV30 @ SV30 )
| ( g_true_only @ SV30 @ SV30 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(187,plain,
! [SV31: $i] :
( ( ( ( g_true_only @ SV31 @ sK1_A )
| ( g_false_only @ SV31 @ sK1_A ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(188,plain,
! [SV32: $i] :
( ( ( ( g_true_only @ SV32 @ sK1_A )
| ( g_true_only @ SV32 @ SV32 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(189,plain,
! [SV25: $i] :
( ( ( g_both @ SV25 @ SV25 )
= $false )
| ( ( g_true_only @ SV25 @ sK3_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(190,plain,
! [SV26: $i] :
( ( ( g_true_only @ SV26 @ SV26 )
= $false )
| ( ( g_true_only @ SV26 @ sK3_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(191,plain,
! [SV27: $i] :
( ( ( g_false_only @ SV27 @ SV27 )
= $false )
| ( ( g_both @ SV27 @ sK3_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(192,plain,
! [SV28: $i] :
( ( ( g_true_only @ SV28 @ SV28 )
= $false )
| ( ( g_both @ SV28 @ sK3_A )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(194,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(195,plain,
! [SV29: $i] :
( ( ( g_false_only @ SV29 @ SV29 )
= $true )
| ( ( g_false_only @ SV29 @ sK1_A )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(196,plain,
! [SV30: $i] :
( ( ( g_false_only @ SV30 @ SV30 )
= $true )
| ( ( g_true_only @ SV30 @ SV30 )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV31: $i] :
( ( ( g_true_only @ SV31 @ sK1_A )
= $true )
| ( ( g_false_only @ SV31 @ sK1_A )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV32: $i] :
( ( ( g_true_only @ SV32 @ sK1_A )
= $true )
| ( ( g_true_only @ SV32 @ SV32 )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(199,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(200,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
| ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(201,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(202,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(203,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(204,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(205,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(206,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(207,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(208,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(209,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(210,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(211,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(212,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
| ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(213,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(214,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(215,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(216,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(217,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(218,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(219,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(220,plain,
! [SV24: $i,SV21: $i] :
( ( ( ~ ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) ) )
= $false )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(221,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(222,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(223,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(224,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(225,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(226,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(227,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(228,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(229,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(230,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(231,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(232,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(233,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(234,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(235,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(236,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(237,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(238,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(239,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(240,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(242,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(243,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_both @ ( sK2_B @ SV21 ) @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(244,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(245,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(246,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(247,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(248,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(249,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(250,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(251,plain,
! [SV24: $i,SV21: $i] :
( ( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(252,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(253,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(254,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ SV21 )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(255,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
| ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(256,plain,
! [SV24: $i,SV21: $i] :
( ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_true_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_false_only @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ ( sK2_B @ SV21 ) @ ( sK2_B @ SV21 ) )
= $true )
| ( ( g_both @ SV24 @ SV21 )
= $false )
| ( ( g_both @ SV24 @ SV24 )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(257,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[50,256,254,253,252,248,246,245,237,198,197,196,195,192,191,190,189,160,159,140,139,130,129,128,126,115,104,98]) ).
thf(258,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV515+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 12:32:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 4
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 0.19/0.53
% 0.19/0.53 ********************************
% 0.19/0.53 * All subproblems solved! *
% 0.19/0.53 ********************************
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:257,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.56
% 0.19/0.56 %**** Beginning of derivation protocol ****
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
% 0.19/0.56
% 0.19/0.56 %**** End of derivation protocol ****
% 0.19/0.56 %**** no. of clauses in derivation: 258 ****
% 0.19/0.56 %**** clause counter: 257 ****
% 0.19/0.56
% 0.19/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:257,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------