TSTP Solution File: SYN036+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 08:22:45 EDT 2022
% Result : Theorem 0.41s 0.59s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 43
% Syntax : Number of formulae : 428 ( 125 unt; 42 typ; 0 def)
% Number of atoms : 4315 ( 848 equ; 0 cnn)
% Maximal formula atoms : 8 ( 11 avg)
% Number of connectives : 7207 (2382 ~;2092 |; 76 &;2592 @)
% ( 45 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 34 con; 0-2 aty)
% Number of variables : 1028 ( 0 ^1000 !; 28 ?;1028 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_big_p,type,
big_p: $i > $o ).
thf(tp_big_q,type,
big_q: $i > $o ).
thf(tp_sK10_U,type,
sK10_U: $i ).
thf(tp_sK11_W,type,
sK11_W: $i ).
thf(tp_sK12_Y,type,
sK12_Y: $i > $i ).
thf(tp_sK13_X,type,
sK13_X: $i ).
thf(tp_sK14_U,type,
sK14_U: $i ).
thf(tp_sK15_X,type,
sK15_X: $i ).
thf(tp_sK16_W,type,
sK16_W: $i ).
thf(tp_sK17_REN,type,
sK17_REN: $o ).
thf(tp_sK18_REN,type,
sK18_REN: $o ).
thf(tp_sK19_REN,type,
sK19_REN: $o ).
thf(tp_sK1_X1,type,
sK1_X1: $i ).
thf(tp_sK20_REN,type,
sK20_REN: $o ).
thf(tp_sK21_X,type,
sK21_X: $i ).
thf(tp_sK22_X,type,
sK22_X: $i ).
thf(tp_sK23_U,type,
sK23_U: $i ).
thf(tp_sK24_W,type,
sK24_W: $i ).
thf(tp_sK25_Y,type,
sK25_Y: $i > $i ).
thf(tp_sK26_U,type,
sK26_U: $i ).
thf(tp_sK27_Y,type,
sK27_Y: $i > $i ).
thf(tp_sK28_W,type,
sK28_W: $i ).
thf(tp_sK29_Y1,type,
sK29_Y1: $i > $i ).
thf(tp_sK2_X1,type,
sK2_X1: $i ).
thf(tp_sK30_U1,type,
sK30_U1: $i ).
thf(tp_sK31_W1,type,
sK31_W1: $i ).
thf(tp_sK32_Y1,type,
sK32_Y1: $i > $i ).
thf(tp_sK33_X1,type,
sK33_X1: $i ).
thf(tp_sK34_U1,type,
sK34_U1: $i ).
thf(tp_sK35_X1,type,
sK35_X1: $i ).
thf(tp_sK36_W1,type,
sK36_W1: $i ).
thf(tp_sK37_REN,type,
sK37_REN: $o ).
thf(tp_sK38_REN,type,
sK38_REN: $o ).
thf(tp_sK39_REN,type,
sK39_REN: $o ).
thf(tp_sK3_U1,type,
sK3_U1: $i ).
thf(tp_sK40_REN,type,
sK40_REN: $o ).
thf(tp_sK4_W1,type,
sK4_W1: $i ).
thf(tp_sK5_Y1,type,
sK5_Y1: $i > $i ).
thf(tp_sK6_U1,type,
sK6_U1: $i ).
thf(tp_sK7_Y1,type,
sK7_Y1: $i > $i ).
thf(tp_sK8_W1,type,
sK8_W1: $i ).
thf(tp_sK9_Y,type,
sK9_Y: $i > $i ).
thf(1,conjecture,
( ( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [U: $i] : ( big_q @ U )
<=> ! [W: $i] : ( big_p @ W ) ) )
<=> ( ? [X1: $i] :
! [Y1: $i] :
( ( big_q @ X1 )
<=> ( big_q @ Y1 ) )
<=> ( ? [U1: $i] : ( big_p @ U1 )
<=> ! [W1: $i] : ( big_q @ W1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel34) ).
thf(2,negated_conjecture,
( ( ( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [U: $i] : ( big_q @ U )
<=> ! [W: $i] : ( big_p @ W ) ) )
<=> ( ? [X1: $i] :
! [Y1: $i] :
( ( big_q @ X1 )
<=> ( big_q @ Y1 ) )
<=> ( ? [U1: $i] : ( big_p @ U1 )
<=> ! [W1: $i] : ( big_q @ W1 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [U: $i] : ( big_q @ U )
<=> ! [W: $i] : ( big_p @ W ) ) )
<=> ( ? [X1: $i] :
! [Y1: $i] :
( ( big_q @ X1 )
<=> ( big_q @ Y1 ) )
<=> ( ? [U1: $i] : ( big_p @ U1 )
<=> ! [W1: $i] : ( big_q @ W1 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [U: $i] : ( big_q @ U )
<=> ! [W: $i] : ( big_p @ W ) ) )
=> ( ? [X1: $i] :
! [Y1: $i] :
( ( big_q @ X1 )
<=> ( big_q @ Y1 ) )
<=> ( ? [U1: $i] : ( big_p @ U1 )
<=> ! [W1: $i] : ( big_q @ W1 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ( ? [X1: $i] :
! [Y1: $i] :
( ( big_q @ X1 )
<=> ( big_q @ Y1 ) )
<=> ( ? [U1: $i] : ( big_p @ U1 )
<=> ! [W1: $i] : ( big_q @ W1 ) ) )
=> ( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [U: $i] : ( big_q @ U )
<=> ! [W: $i] : ( big_p @ W ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [U: $i] : ( big_q @ U )
<=> ! [W: $i] : ( big_p @ W ) ) )
=> ( ? [X1: $i] :
! [Y1: $i] :
( ( big_q @ X1 )
<=> ( big_q @ Y1 ) )
<=> ( ? [U1: $i] : ( big_p @ U1 )
<=> ! [W1: $i] : ( big_q @ W1 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ( ? [X1: $i] :
! [Y1: $i] :
( ( big_q @ X1 )
<=> ( big_q @ Y1 ) )
<=> ( ? [U1: $i] : ( big_p @ U1 )
<=> ! [W1: $i] : ( big_q @ W1 ) ) )
=> ( ? [X: $i] :
! [Y: $i] :
( ( big_p @ X )
<=> ( big_p @ Y ) )
<=> ( ? [U: $i] : ( big_q @ U )
<=> ! [W: $i] : ( big_p @ W ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ( ~ ( big_p @ sK16_W )
| ! [U: $i] :
~ ( big_q @ U )
| sK20_REN )
& ( sK20_REN
=> ( ( ~ ( big_p @ sK15_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK15_X ) ) ) )
& ( ! [W: $i] : ( big_p @ W )
| ( big_q @ sK14_U )
| sK19_REN )
& ( sK19_REN
=> ( ( ~ ( big_p @ sK13_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK13_X ) ) ) )
& ( ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK12_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK12_Y @ X ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
& ( ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK9_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK9_Y @ X ) ) ) )
| ! [U: $i] :
~ ( big_q @ U )
| ! [W: $i] : ( big_p @ W ) )
& ( ~ ( big_q @ sK8_W1 )
| ! [U1: $i] :
~ ( big_p @ U1 )
| ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK7_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK7_Y1 @ X1 ) ) ) ) )
& ( ! [W1: $i] : ( big_q @ W1 )
| ( big_p @ sK6_U1 )
| ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK5_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK5_Y1 @ X1 ) ) ) ) )
& ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
& ( sK18_REN
=> ( ( ~ ( big_q @ sK2_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK2_X1 ) ) ) )
& ( ! [U1: $i] :
~ ( big_p @ U1 )
| ! [W1: $i] : ( big_q @ W1 )
| sK17_REN )
& ( sK17_REN
=> ( ( ~ ( big_q @ sK1_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK1_X1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ( ~ ( big_q @ sK36_W1 )
| ! [U1: $i] :
~ ( big_p @ U1 )
| sK40_REN )
& ( sK40_REN
=> ( ( ~ ( big_q @ sK35_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK35_X1 ) ) ) )
& ( ! [W1: $i] : ( big_q @ W1 )
| ( big_p @ sK34_U1 )
| sK39_REN )
& ( sK39_REN
=> ( ( ~ ( big_q @ sK33_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK33_X1 ) ) ) )
& ( ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK32_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK32_Y1 @ X1 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
& ( ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK29_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK29_Y1 @ X1 ) ) ) )
| ! [U1: $i] :
~ ( big_p @ U1 )
| ! [W1: $i] : ( big_q @ W1 ) )
& ( ~ ( big_p @ sK28_W )
| ! [U: $i] :
~ ( big_q @ U )
| ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK27_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK27_Y @ X ) ) ) ) )
& ( ! [W: $i] : ( big_p @ W )
| ( big_q @ sK26_U )
| ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK25_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK25_Y @ X ) ) ) ) )
& ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
& ( sK38_REN
=> ( ( ~ ( big_p @ sK22_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK22_X ) ) ) )
& ( ! [U: $i] :
~ ( big_q @ U )
| ! [W: $i] : ( big_p @ W )
| sK37_REN )
& ( sK37_REN
=> ( ( ~ ( big_p @ sK21_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK21_X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ( ~ ( big_p @ sK16_W )
| ! [U: $i] :
~ ( big_q @ U )
| sK20_REN )
& ( sK20_REN
=> ( ( ~ ( big_p @ sK15_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK15_X ) ) ) )
& ( ! [W: $i] : ( big_p @ W )
| ( big_q @ sK14_U )
| sK19_REN )
& ( sK19_REN
=> ( ( ~ ( big_p @ sK13_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK13_X ) ) ) )
& ( ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK12_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK12_Y @ X ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
& ( ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK9_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK9_Y @ X ) ) ) )
| ! [U: $i] :
~ ( big_q @ U )
| ! [W: $i] : ( big_p @ W ) )
& ( ~ ( big_q @ sK8_W1 )
| ! [U1: $i] :
~ ( big_p @ U1 )
| ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK7_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK7_Y1 @ X1 ) ) ) ) )
& ( ! [W1: $i] : ( big_q @ W1 )
| ( big_p @ sK6_U1 )
| ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK5_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK5_Y1 @ X1 ) ) ) ) )
& ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
& ( sK18_REN
=> ( ( ~ ( big_q @ sK2_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK2_X1 ) ) ) )
& ( ! [U1: $i] :
~ ( big_p @ U1 )
| ! [W1: $i] : ( big_q @ W1 )
| sK17_REN )
& ( sK17_REN
=> ( ( ~ ( big_q @ sK1_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK1_X1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(37,plain,
( ( ~ ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(39,plain,
( ( ~ ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(40,plain,
( ( ~ ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(41,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) )
| ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(42,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(43,plain,
( ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(44,plain,
( ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(46,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(47,plain,
( ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
| ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(48,plain,
( ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
| ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(49,plain,
( ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK12_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK12_Y @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(50,plain,
( ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK9_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK9_Y @ SX0 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(51,plain,
( ( ( ~ ( big_q @ sK8_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(52,plain,
( ( ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK6_U1 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(53,plain,
( ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
| ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(54,plain,
( ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
| ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(55,plain,
( ( ~ ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(56,plain,
( ( ~ ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(57,plain,
( ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(58,plain,
( ( ~ ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(59,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( ~ ( big_p @ SV1 )
| ~ ( big_p @ ( sK12_Y @ SV1 ) ) )
| ~ ( ( big_p @ SV1 )
| ( big_p @ ( sK12_Y @ SV1 ) ) ) ) )
= $true )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(60,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( ~ ( big_p @ SV2 )
| ~ ( big_p @ ( sK9_Y @ SV2 ) ) )
| ~ ( ( big_p @ SV2 )
| ( big_p @ ( sK9_Y @ SV2 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(61,plain,
( ( ( ~ ( big_q @ sK8_W1 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(62,plain,
( ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(63,plain,
( ( ~ ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(64,plain,
( ( ~ ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(65,plain,
( ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(66,plain,
( ( ~ ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(67,plain,
( ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| sK20_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(68,plain,
( ( ~ sK20_REN
| ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(69,plain,
( ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U )
| sK19_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(70,plain,
( ( ~ sK19_REN
| ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(71,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( big_p @ SV1 )
| ~ ( big_p @ ( sK12_Y @ SV1 ) ) )
| ~ ( ( big_p @ SV1 )
| ( big_p @ ( sK12_Y @ SV1 ) ) ) )
= $false )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( big_p @ SV2 )
| ~ ( big_p @ ( sK9_Y @ SV2 ) ) )
| ~ ( ( big_p @ SV2 )
| ( big_p @ ( sK9_Y @ SV2 ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(73,plain,
( ( ( big_q @ sK8_W1 )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(74,plain,
! [SV3: $i] :
( ( ( big_q @ SV3 )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK5_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK5_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(75,plain,
( ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 )
| sK18_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(76,plain,
( ( ~ sK18_REN
| ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(77,plain,
( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 )
| sK17_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(78,plain,
( ( ~ sK17_REN
| ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(79,plain,
( ( ( ~ ( big_p @ sK16_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( sK20_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(80,plain,
( ( ( ~ sK20_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(81,plain,
( ( ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK14_U ) )
= $true )
| ( sK19_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(82,plain,
( ( ( ~ sK19_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( big_p @ SV1 )
| ~ ( big_p @ ( sK12_Y @ SV1 ) ) ) )
= $false )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(84,plain,
! [SV1: $i] :
( ( ( ~ ( ( big_p @ SV1 )
| ( big_p @ ( sK12_Y @ SV1 ) ) ) )
= $false )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(85,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( big_p @ SV2 )
| ~ ( big_p @ ( sK9_Y @ SV2 ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(86,plain,
! [SV2: $i] :
( ( ( ~ ( ( big_p @ SV2 )
| ( big_p @ ( sK9_Y @ SV2 ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(87,plain,
! [SV4: $i] :
( ( ( ~ ( big_p @ SV4 ) )
= $true )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(88,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( ~ ( ~ ( big_q @ SV5 )
| ~ ( big_q @ ( sK5_Y1 @ SV5 ) ) )
| ~ ( ( big_q @ SV5 )
| ( big_q @ ( sK5_Y1 @ SV5 ) ) ) ) )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(89,plain,
( ( ( ~ ( big_q @ sK4_W1 )
| ( big_p @ sK3_U1 ) )
= $true )
| ( sK18_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(90,plain,
( ( ( ~ sK18_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(91,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK17_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(92,plain,
( ( ( ~ sK17_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(93,plain,
( ( ( ~ ( big_p @ sK16_W ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( sK20_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(94,plain,
( ( sK20_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(95,plain,
( ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_q @ sK14_U )
= $true )
| ( sK19_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
( ( sK19_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV1: $i] :
( ( ( ~ ( big_p @ SV1 )
| ~ ( big_p @ ( sK12_Y @ SV1 ) ) )
= $true )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(98,plain,
! [SV1: $i] :
( ( ( ( big_p @ SV1 )
| ( big_p @ ( sK12_Y @ SV1 ) ) )
= $true )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(99,plain,
! [SV2: $i] :
( ( ( ~ ( big_p @ SV2 )
| ~ ( big_p @ ( sK9_Y @ SV2 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(100,plain,
! [SV2: $i] :
( ( ( ( big_p @ SV2 )
| ( big_p @ ( sK9_Y @ SV2 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(101,plain,
! [SV4: $i] :
( ( ( big_p @ SV4 )
= $false )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK7_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK7_Y1 @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( ~ ( big_q @ SV5 )
| ~ ( big_q @ ( sK5_Y1 @ SV5 ) ) )
| ~ ( ( big_q @ SV5 )
| ( big_q @ ( sK5_Y1 @ SV5 ) ) ) )
= $false )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(103,plain,
( ( ( ~ ( big_q @ sK4_W1 ) )
= $true )
| ( ( big_p @ sK3_U1 )
= $true )
| ( sK18_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(104,plain,
( ( sK18_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(105,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK17_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(106,plain,
( ( sK17_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(107,plain,
( ( ( big_p @ sK16_W )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( sK20_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(108,plain,
( ( ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV6: $i] :
( ( ( big_p @ SV6 )
= $true )
| ( ( big_q @ sK14_U )
= $true )
| ( sK19_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(110,plain,
( ( ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV1: $i] :
( ( ( ~ ( big_p @ SV1 ) )
= $true )
| ( ( ~ ( big_p @ ( sK12_Y @ SV1 ) ) )
= $true )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV1: $i] :
( ( ( big_p @ SV1 )
= $true )
| ( ( big_p @ ( sK12_Y @ SV1 ) )
= $true )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV2: $i] :
( ( ( ~ ( big_p @ SV2 ) )
= $true )
| ( ( ~ ( big_p @ ( sK9_Y @ SV2 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV2: $i] :
( ( ( big_p @ SV2 )
= $true )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ~ ( ~ ( big_q @ SV7 )
| ~ ( big_q @ ( sK7_Y1 @ SV7 ) ) )
| ~ ( ( big_q @ SV7 )
| ( big_q @ ( sK7_Y1 @ SV7 ) ) ) ) )
= $true )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( ~ ( big_q @ SV5 )
| ~ ( big_q @ ( sK5_Y1 @ SV5 ) ) ) )
= $false )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(117,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( ( big_q @ SV5 )
| ( big_q @ ( sK5_Y1 @ SV5 ) ) ) )
= $false )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(118,plain,
( ( ( big_q @ sK4_W1 )
= $false )
| ( ( big_p @ sK3_U1 )
= $true )
| ( sK18_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(119,plain,
( ( ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) )
= $false )
| ( sK18_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(120,plain,
! [SV8: $i] :
( ( ( ~ ( big_p @ SV8 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK17_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(121,plain,
( ( ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) )
= $false )
| ( sK17_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(122,plain,
! [SV9: $i] :
( ( ( ~ ( big_q @ SV9 ) )
= $true )
| ( ( big_p @ sK16_W )
= $false )
| ( sK20_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(123,plain,
( ( ( ~ ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) ) )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(124,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) ) )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(125,plain,
( ( ( ~ ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) ) )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(126,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) ) )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(127,plain,
! [SV1: $i] :
( ( ( big_p @ SV1 )
= $false )
| ( ( ~ ( big_p @ ( sK12_Y @ SV1 ) ) )
= $true )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(128,plain,
! [SV1: $i] :
( ( ( ~ ( big_p @ sK11_W ) )
= $true )
| ( ( big_q @ sK10_U )
= $true )
| ( ( big_p @ ( sK12_Y @ SV1 ) )
= $true )
| ( ( big_p @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(129,plain,
! [SV2: $i] :
( ( ( big_p @ SV2 )
= $false )
| ( ( ~ ( big_p @ ( sK9_Y @ SV2 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(130,plain,
! [SV2: $i] :
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $true )
| ( ( big_p @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ~ ( big_q @ SV7 )
| ~ ( big_q @ ( sK7_Y1 @ SV7 ) ) )
| ~ ( ( big_q @ SV7 )
| ( big_q @ ( sK7_Y1 @ SV7 ) ) ) )
= $false )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( big_q @ SV5 )
| ~ ( big_q @ ( sK5_Y1 @ SV5 ) ) )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(133,plain,
! [SV3: $i,SV5: $i] :
( ( ( ( big_q @ SV5 )
| ( big_q @ ( sK5_Y1 @ SV5 ) ) )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(134,plain,
( ( ( ~ ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) )
= $false )
| ( sK18_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(135,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) ) )
= $false )
| ( sK18_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(136,plain,
! [SV8: $i] :
( ( ( big_p @ SV8 )
= $false )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK17_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(137,plain,
( ( ( ~ ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) )
= $false )
| ( sK17_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(138,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) ) )
= $false )
| ( sK17_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(139,plain,
! [SV9: $i] :
( ( ( big_q @ SV9 )
= $false )
| ( ( big_p @ sK16_W )
= $false )
| ( sK20_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(140,plain,
( ( ( ~ ( big_p @ sK15_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(141,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK15_X ) )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(142,plain,
( ( ( ~ ( big_p @ sK13_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(143,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK13_X ) )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(144,plain,
! [SV1: $i] :
( ( ( big_p @ ( sK12_Y @ SV1 ) )
= $false )
| ( ( big_p @ SV1 )
= $false )
| ( ( ~ ( big_p @ sK11_W )
| ( big_q @ sK10_U ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(145,plain,
! [SV1: $i] :
( ( ( big_p @ sK11_W )
= $false )
| ( ( big_q @ sK10_U )
= $true )
| ( ( big_p @ ( sK12_Y @ SV1 ) )
= $true )
| ( ( big_p @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(146,plain,
! [SV2: $i] :
( ( ( big_p @ ( sK9_Y @ SV2 ) )
= $false )
| ( ( big_p @ SV2 )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(147,plain,
! [SV2: $i,SV10: $i] :
( ( ( ~ ( big_q @ SV10 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $true )
| ( ( big_p @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(148,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ~ ( big_q @ SV7 )
| ~ ( big_q @ ( sK7_Y1 @ SV7 ) ) ) )
= $false )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(149,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ( big_q @ SV7 )
| ( big_q @ ( sK7_Y1 @ SV7 ) ) ) )
= $false )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(150,plain,
! [SV3: $i,SV5: $i] :
( ( ( ~ ( big_q @ SV5 ) )
= $true )
| ( ( ~ ( big_q @ ( sK5_Y1 @ SV5 ) ) )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(151,plain,
! [SV3: $i,SV5: $i] :
( ( ( big_q @ SV5 )
= $true )
| ( ( big_q @ ( sK5_Y1 @ SV5 ) )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(152,plain,
( ( ( ~ ( big_q @ sK2_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK18_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(153,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK2_X1 ) )
= $true )
| ( sK18_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(154,plain,
! [SV8: $i,SV11: $i] :
( ( ( big_q @ SV11 )
= $true )
| ( ( big_p @ SV8 )
= $false )
| ( sK17_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(155,plain,
( ( ( ~ ( big_q @ sK1_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK17_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(156,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK1_X1 ) )
= $true )
| ( sK17_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(157,plain,
( ( ( ~ ( big_p @ sK15_X ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(158,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ sK15_X )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(159,plain,
( ( ( ~ ( big_p @ sK13_X ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(160,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ sK13_X )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(161,plain,
! [SV1: $i] :
( ( ( ~ ( big_p @ sK11_W ) )
= $true )
| ( ( big_q @ sK10_U )
= $true )
| ( ( big_p @ SV1 )
= $false )
| ( ( big_p @ ( sK12_Y @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(162,plain,
! [SV2: $i] :
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ SV2 )
= $false )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(163,plain,
! [SV2: $i,SV10: $i] :
( ( ( big_q @ SV10 )
= $false )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $true )
| ( ( big_p @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(164,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( big_q @ SV7 )
| ~ ( big_q @ ( sK7_Y1 @ SV7 ) ) )
= $true )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(165,plain,
! [SV4: $i,SV7: $i] :
( ( ( ( big_q @ SV7 )
| ( big_q @ ( sK7_Y1 @ SV7 ) ) )
= $true )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(166,plain,
! [SV3: $i,SV5: $i] :
( ( ( big_q @ SV5 )
= $false )
| ( ( ~ ( big_q @ ( sK5_Y1 @ SV5 ) ) )
= $true )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(167,plain,
( ( ( ~ ( big_q @ sK2_X1 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK18_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(168,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ sK2_X1 )
= $true )
| ( sK18_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(169,plain,
( ( ( ~ ( big_q @ sK1_X1 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK17_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(170,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ sK1_X1 )
= $true )
| ( sK17_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(171,plain,
( ( ( big_p @ sK15_X )
= $false )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(172,plain,
! [SV12: $i] :
( ( ( ~ ( big_p @ SV12 ) )
= $true )
| ( ( big_p @ sK15_X )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(173,plain,
( ( ( big_p @ sK13_X )
= $false )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(174,plain,
! [SV13: $i] :
( ( ( ~ ( big_p @ SV13 ) )
= $true )
| ( ( big_p @ sK13_X )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(175,plain,
! [SV1: $i] :
( ( ( big_p @ sK11_W )
= $false )
| ( ( big_q @ sK10_U )
= $true )
| ( ( big_p @ SV1 )
= $false )
| ( ( big_p @ ( sK12_Y @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(176,plain,
! [SV2: $i,SV14: $i] :
( ( ( ~ ( big_q @ SV14 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ SV2 )
= $false )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(177,plain,
! [SV2: $i,SV10: $i,SV15: $i] :
( ( ( big_p @ SV15 )
= $true )
| ( ( big_q @ SV10 )
= $false )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $true )
| ( ( big_p @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(178,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( big_q @ SV7 ) )
= $true )
| ( ( ~ ( big_q @ ( sK7_Y1 @ SV7 ) ) )
= $true )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(179,plain,
! [SV4: $i,SV7: $i] :
( ( ( big_q @ SV7 )
= $true )
| ( ( big_q @ ( sK7_Y1 @ SV7 ) )
= $true )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV3: $i,SV5: $i] :
( ( ( big_q @ ( sK5_Y1 @ SV5 ) )
= $false )
| ( ( big_q @ SV5 )
= $false )
| ( ( big_p @ sK6_U1 )
= $true )
| ( ( big_q @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(181,plain,
( ( ( big_q @ sK2_X1 )
= $false )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK18_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV16: $i] :
( ( ( ~ ( big_q @ SV16 ) )
= $true )
| ( ( big_q @ sK2_X1 )
= $true )
| ( sK18_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(183,plain,
( ( ( big_q @ sK1_X1 )
= $false )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK17_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV17: $i] :
( ( ( ~ ( big_q @ SV17 ) )
= $true )
| ( ( big_q @ sK1_X1 )
= $true )
| ( sK17_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(185,plain,
! [SV18: $i] :
( ( ( big_p @ SV18 )
= $true )
| ( ( big_p @ sK15_X )
= $false )
| ( sK20_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV12: $i] :
( ( ( big_p @ SV12 )
= $false )
| ( ( big_p @ sK15_X )
= $true )
| ( sK20_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(187,plain,
! [SV19: $i] :
( ( ( big_p @ SV19 )
= $true )
| ( ( big_p @ sK13_X )
= $false )
| ( sK19_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(188,plain,
! [SV13: $i] :
( ( ( big_p @ SV13 )
= $false )
| ( ( big_p @ sK13_X )
= $true )
| ( sK19_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(189,plain,
! [SV2: $i,SV14: $i] :
( ( ( big_q @ SV14 )
= $false )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ SV2 )
= $false )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(190,plain,
! [SV4: $i,SV7: $i] :
( ( ( big_q @ SV7 )
= $false )
| ( ( ~ ( big_q @ ( sK7_Y1 @ SV7 ) ) )
= $true )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(191,plain,
! [SV20: $i] :
( ( ( big_q @ SV20 )
= $true )
| ( ( big_q @ sK2_X1 )
= $false )
| ( sK18_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(192,plain,
! [SV16: $i] :
( ( ( big_q @ SV16 )
= $false )
| ( ( big_q @ sK2_X1 )
= $true )
| ( sK18_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV21: $i] :
( ( ( big_q @ SV21 )
= $true )
| ( ( big_q @ sK1_X1 )
= $false )
| ( sK17_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV17: $i] :
( ( ( big_q @ SV17 )
= $false )
| ( ( big_q @ sK1_X1 )
= $true )
| ( sK17_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(195,plain,
! [SV2: $i,SV14: $i,SV22: $i] :
( ( ( big_p @ SV22 )
= $true )
| ( ( big_q @ SV14 )
= $false )
| ( ( big_p @ SV2 )
= $false )
| ( ( big_p @ ( sK9_Y @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(196,plain,
! [SV4: $i,SV7: $i] :
( ( ( big_q @ ( sK7_Y1 @ SV7 ) )
= $false )
| ( ( big_q @ SV7 )
= $false )
| ( ( big_q @ sK8_W1 )
= $false )
| ( ( big_p @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(197,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[109,196,195,194,193,192,191,188,187,186,185,180,179,177,175,154,151,145,139,118]) ).
thf(198,plain,
( ( ( ~ ( big_q @ sK36_W1 )
| ! [U1: $i] :
~ ( big_p @ U1 )
| sK40_REN )
& ( sK40_REN
=> ( ( ~ ( big_q @ sK35_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK35_X1 ) ) ) )
& ( ! [W1: $i] : ( big_q @ W1 )
| ( big_p @ sK34_U1 )
| sK39_REN )
& ( sK39_REN
=> ( ( ~ ( big_q @ sK33_X1 )
| ! [Y1: $i] : ( big_q @ Y1 ) )
& ( ! [Y1: $i] :
~ ( big_q @ Y1 )
| ( big_q @ sK33_X1 ) ) ) )
& ( ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK32_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK32_Y1 @ X1 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
& ( ! [X1: $i] :
( ( ~ ( big_q @ X1 )
| ~ ( big_q @ ( sK29_Y1 @ X1 ) ) )
& ( ( big_q @ X1 )
| ( big_q @ ( sK29_Y1 @ X1 ) ) ) )
| ! [U1: $i] :
~ ( big_p @ U1 )
| ! [W1: $i] : ( big_q @ W1 ) )
& ( ~ ( big_p @ sK28_W )
| ! [U: $i] :
~ ( big_q @ U )
| ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK27_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK27_Y @ X ) ) ) ) )
& ( ! [W: $i] : ( big_p @ W )
| ( big_q @ sK26_U )
| ! [X: $i] :
( ( ~ ( big_p @ X )
| ~ ( big_p @ ( sK25_Y @ X ) ) )
& ( ( big_p @ X )
| ( big_p @ ( sK25_Y @ X ) ) ) ) )
& ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
& ( sK38_REN
=> ( ( ~ ( big_p @ sK22_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK22_X ) ) ) )
& ( ! [U: $i] :
~ ( big_q @ U )
| ! [W: $i] : ( big_p @ W )
| sK37_REN )
& ( sK37_REN
=> ( ( ~ ( big_p @ sK21_X )
| ! [Y: $i] : ( big_p @ Y ) )
& ( ! [Y: $i] :
~ ( big_p @ Y )
| ( big_p @ sK21_X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(199,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(200,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(201,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(202,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(203,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(204,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(205,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(206,plain,
( ( ~ ~ ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(207,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(208,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(209,plain,
( ( ~ ~ ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(210,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(211,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(212,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(213,plain,
( ( ~ ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(214,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(215,plain,
( ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(216,plain,
( ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
| ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(217,plain,
( ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
| ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(218,plain,
( ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(219,plain,
( ( ~ ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(220,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(221,plain,
( ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(222,plain,
( ( ~ ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(223,plain,
( ( ~ ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(224,plain,
( ( ~ ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(225,plain,
( ( ~ ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(226,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(227,plain,
( ( ~ ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(228,plain,
( ( ~ ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(229,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) )
| ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(230,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(231,plain,
( ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(232,plain,
( ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U )
| ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(233,plain,
( ( ~ ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(234,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(235,plain,
( ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
| ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(236,plain,
( ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
| ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(237,plain,
( ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK32_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK32_Y1 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(238,plain,
( ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_q @ SX0 )
| ~ ( big_q @ ( sK29_Y1 @ SX0 ) ) )
| ~ ( ( big_q @ SX0 )
| ( big_q @ ( sK29_Y1 @ SX0 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(239,plain,
( ( ( ~ ( big_p @ sK28_W )
| ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(240,plain,
( ( ( ! [SX0: $i] : ( big_p @ SX0 )
| ( big_q @ sK26_U ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(241,plain,
( ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
| ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(242,plain,
( ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
| ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(243,plain,
( ( ~ ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(244,plain,
( ( ~ ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(245,plain,
( ( ~ ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(246,plain,
( ( ~ ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(247,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( ~ ( big_q @ SV23 )
| ~ ( big_q @ ( sK32_Y1 @ SV23 ) ) )
| ~ ( ( big_q @ SV23 )
| ( big_q @ ( sK32_Y1 @ SV23 ) ) ) ) )
= $true )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(248,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ( ~ ( big_q @ SV24 )
| ~ ( big_q @ ( sK29_Y1 @ SV24 ) ) )
| ~ ( ( big_q @ SV24 )
| ( big_q @ ( sK29_Y1 @ SV24 ) ) ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(249,plain,
( ( ( ~ ( big_p @ sK28_W ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(250,plain,
( ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(251,plain,
( ( ~ ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(252,plain,
( ( ~ ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[241]) ).
thf(253,plain,
( ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(254,plain,
( ( ~ ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(255,plain,
( ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 )
| sK40_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(256,plain,
( ( ~ sK40_REN
| ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(257,plain,
( ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 )
| sK39_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(258,plain,
( ( ~ sK39_REN
| ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(259,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( big_q @ SV23 )
| ~ ( big_q @ ( sK32_Y1 @ SV23 ) ) )
| ~ ( ( big_q @ SV23 )
| ( big_q @ ( sK32_Y1 @ SV23 ) ) ) )
= $false )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ( big_q @ SV24 )
| ~ ( big_q @ ( sK29_Y1 @ SV24 ) ) )
| ~ ( ( big_q @ SV24 )
| ( big_q @ ( sK29_Y1 @ SV24 ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(261,plain,
( ( ( big_p @ sK28_W )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV25: $i] :
( ( ( big_p @ SV25 )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK25_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK25_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(263,plain,
( ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U )
| sK38_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(264,plain,
( ( ~ sK38_REN
| ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(265,plain,
( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 )
| sK37_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(266,plain,
( ( ~ sK37_REN
| ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(267,plain,
( ( ( ~ ( big_q @ sK36_W1 )
| ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( sK40_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(268,plain,
( ( ( ~ sK40_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(269,plain,
( ( ( ! [SX0: $i] : ( big_q @ SX0 )
| ( big_p @ sK34_U1 ) )
= $true )
| ( sK39_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(270,plain,
( ( ( ~ sK39_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(271,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( big_q @ SV23 )
| ~ ( big_q @ ( sK32_Y1 @ SV23 ) ) ) )
= $false )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(272,plain,
! [SV23: $i] :
( ( ( ~ ( ( big_q @ SV23 )
| ( big_q @ ( sK32_Y1 @ SV23 ) ) ) )
= $false )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(273,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ( big_q @ SV24 )
| ~ ( big_q @ ( sK29_Y1 @ SV24 ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(274,plain,
! [SV24: $i] :
( ( ( ~ ( ( big_q @ SV24 )
| ( big_q @ ( sK29_Y1 @ SV24 ) ) ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(275,plain,
! [SV26: $i] :
( ( ( ~ ( big_q @ SV26 ) )
= $true )
| ( ( big_p @ sK28_W )
= $false )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(276,plain,
! [SV25: $i,SV27: $i] :
( ( ( ~ ( ~ ( ~ ( big_p @ SV27 )
| ~ ( big_p @ ( sK25_Y @ SV27 ) ) )
| ~ ( ( big_p @ SV27 )
| ( big_p @ ( sK25_Y @ SV27 ) ) ) ) )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(277,plain,
( ( ( ~ ( big_p @ sK24_W )
| ( big_q @ sK23_U ) )
= $true )
| ( sK38_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(278,plain,
( ( ( ~ sK38_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(279,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK37_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(280,plain,
( ( ( ~ sK37_REN )
= $true )
| ( ( ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(281,plain,
( ( ( ~ ( big_q @ sK36_W1 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( sK40_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(282,plain,
( ( sK40_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(283,plain,
( ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_p @ sK34_U1 )
= $true )
| ( sK39_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(284,plain,
( ( sK39_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(285,plain,
! [SV23: $i] :
( ( ( ~ ( big_q @ SV23 )
| ~ ( big_q @ ( sK32_Y1 @ SV23 ) ) )
= $true )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(286,plain,
! [SV23: $i] :
( ( ( ( big_q @ SV23 )
| ( big_q @ ( sK32_Y1 @ SV23 ) ) )
= $true )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(287,plain,
! [SV24: $i] :
( ( ( ~ ( big_q @ SV24 )
| ~ ( big_q @ ( sK29_Y1 @ SV24 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(288,plain,
! [SV24: $i] :
( ( ( ( big_q @ SV24 )
| ( big_q @ ( sK29_Y1 @ SV24 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(289,plain,
! [SV26: $i] :
( ( ( big_q @ SV26 )
= $false )
| ( ( big_p @ sK28_W )
= $false )
| ( ( ! [SX0: $i] :
~ ( ~ ( ~ ( big_p @ SX0 )
| ~ ( big_p @ ( sK27_Y @ SX0 ) ) )
| ~ ( ( big_p @ SX0 )
| ( big_p @ ( sK27_Y @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(290,plain,
! [SV25: $i,SV27: $i] :
( ( ( ~ ( ~ ( big_p @ SV27 )
| ~ ( big_p @ ( sK25_Y @ SV27 ) ) )
| ~ ( ( big_p @ SV27 )
| ( big_p @ ( sK25_Y @ SV27 ) ) ) )
= $false )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(291,plain,
( ( ( ~ ( big_p @ sK24_W ) )
= $true )
| ( ( big_q @ sK23_U )
= $true )
| ( sK38_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(292,plain,
( ( sK38_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(293,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK37_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(294,plain,
( ( sK37_REN = $false )
| ( ( ~ ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(295,plain,
( ( ( big_q @ sK36_W1 )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( sK40_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(296,plain,
( ( ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) )
= $false )
| ( sK40_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(297,plain,
! [SV28: $i] :
( ( ( big_q @ SV28 )
= $true )
| ( ( big_p @ sK34_U1 )
= $true )
| ( sK39_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(298,plain,
( ( ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) )
= $false )
| ( sK39_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(299,plain,
! [SV23: $i] :
( ( ( ~ ( big_q @ SV23 ) )
= $true )
| ( ( ~ ( big_q @ ( sK32_Y1 @ SV23 ) ) )
= $true )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(300,plain,
! [SV23: $i] :
( ( ( big_q @ SV23 )
= $true )
| ( ( big_q @ ( sK32_Y1 @ SV23 ) )
= $true )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(301,plain,
! [SV24: $i] :
( ( ( ~ ( big_q @ SV24 ) )
= $true )
| ( ( ~ ( big_q @ ( sK29_Y1 @ SV24 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(302,plain,
! [SV24: $i] :
( ( ( big_q @ SV24 )
= $true )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(303,plain,
! [SV26: $i,SV29: $i] :
( ( ( ~ ( ~ ( ~ ( big_p @ SV29 )
| ~ ( big_p @ ( sK27_Y @ SV29 ) ) )
| ~ ( ( big_p @ SV29 )
| ( big_p @ ( sK27_Y @ SV29 ) ) ) ) )
= $true )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(304,plain,
! [SV25: $i,SV27: $i] :
( ( ( ~ ( ~ ( big_p @ SV27 )
| ~ ( big_p @ ( sK25_Y @ SV27 ) ) ) )
= $false )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(305,plain,
! [SV25: $i,SV27: $i] :
( ( ( ~ ( ( big_p @ SV27 )
| ( big_p @ ( sK25_Y @ SV27 ) ) ) )
= $false )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(306,plain,
( ( ( big_p @ sK24_W )
= $false )
| ( ( big_q @ sK23_U )
= $true )
| ( sK38_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(307,plain,
( ( ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) )
= $false )
| ( sK38_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(308,plain,
! [SV30: $i] :
( ( ( ~ ( big_q @ SV30 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK37_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(309,plain,
( ( ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
| ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) )
= $false )
| ( sK37_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(310,plain,
! [SV31: $i] :
( ( ( ~ ( big_p @ SV31 ) )
= $true )
| ( ( big_q @ sK36_W1 )
= $false )
| ( sK40_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(311,plain,
( ( ( ~ ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) )
= $false )
| ( sK40_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(312,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) ) )
= $false )
| ( sK40_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(313,plain,
( ( ( ~ ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) ) )
= $false )
| ( sK39_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(314,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) ) )
= $false )
| ( sK39_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(315,plain,
! [SV23: $i] :
( ( ( big_q @ SV23 )
= $false )
| ( ( ~ ( big_q @ ( sK32_Y1 @ SV23 ) ) )
= $true )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(316,plain,
! [SV23: $i] :
( ( ( ~ ( big_q @ sK31_W1 ) )
= $true )
| ( ( big_p @ sK30_U1 )
= $true )
| ( ( big_q @ ( sK32_Y1 @ SV23 ) )
= $true )
| ( ( big_q @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(317,plain,
! [SV24: $i] :
( ( ( big_q @ SV24 )
= $false )
| ( ( ~ ( big_q @ ( sK29_Y1 @ SV24 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(318,plain,
! [SV24: $i] :
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $true )
| ( ( big_q @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(319,plain,
! [SV26: $i,SV29: $i] :
( ( ( ~ ( ~ ( big_p @ SV29 )
| ~ ( big_p @ ( sK27_Y @ SV29 ) ) )
| ~ ( ( big_p @ SV29 )
| ( big_p @ ( sK27_Y @ SV29 ) ) ) )
= $false )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(320,plain,
! [SV25: $i,SV27: $i] :
( ( ( ~ ( big_p @ SV27 )
| ~ ( big_p @ ( sK25_Y @ SV27 ) ) )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(321,plain,
! [SV25: $i,SV27: $i] :
( ( ( ( big_p @ SV27 )
| ( big_p @ ( sK25_Y @ SV27 ) ) )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(322,plain,
( ( ( ~ ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) ) )
= $false )
| ( sK38_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(323,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) ) )
= $false )
| ( sK38_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(324,plain,
! [SV30: $i] :
( ( ( big_q @ SV30 )
= $false )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK37_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(325,plain,
( ( ( ~ ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) ) )
= $false )
| ( sK37_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(326,plain,
( ( ( ~ ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) ) )
= $false )
| ( sK37_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(327,plain,
! [SV31: $i] :
( ( ( big_p @ SV31 )
= $false )
| ( ( big_q @ sK36_W1 )
= $false )
| ( sK40_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(328,plain,
( ( ( ~ ( big_q @ sK35_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK40_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(329,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK35_X1 ) )
= $true )
| ( sK40_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(330,plain,
( ( ( ~ ( big_q @ sK33_X1 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK39_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(331,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 )
| ( big_q @ sK33_X1 ) )
= $true )
| ( sK39_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(332,plain,
! [SV23: $i] :
( ( ( big_q @ ( sK32_Y1 @ SV23 ) )
= $false )
| ( ( big_q @ SV23 )
= $false )
| ( ( ~ ( big_q @ sK31_W1 )
| ( big_p @ sK30_U1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(333,plain,
! [SV23: $i] :
( ( ( big_q @ sK31_W1 )
= $false )
| ( ( big_p @ sK30_U1 )
= $true )
| ( ( big_q @ ( sK32_Y1 @ SV23 ) )
= $true )
| ( ( big_q @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(334,plain,
! [SV24: $i] :
( ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $false )
| ( ( big_q @ SV24 )
= $false )
| ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ! [SX0: $i] : ( big_q @ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(335,plain,
! [SV24: $i,SV32: $i] :
( ( ( ~ ( big_p @ SV32 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $true )
| ( ( big_q @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(336,plain,
! [SV26: $i,SV29: $i] :
( ( ( ~ ( ~ ( big_p @ SV29 )
| ~ ( big_p @ ( sK27_Y @ SV29 ) ) ) )
= $false )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(337,plain,
! [SV26: $i,SV29: $i] :
( ( ( ~ ( ( big_p @ SV29 )
| ( big_p @ ( sK27_Y @ SV29 ) ) ) )
= $false )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(338,plain,
! [SV25: $i,SV27: $i] :
( ( ( ~ ( big_p @ SV27 ) )
= $true )
| ( ( ~ ( big_p @ ( sK25_Y @ SV27 ) ) )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(339,plain,
! [SV25: $i,SV27: $i] :
( ( ( big_p @ SV27 )
= $true )
| ( ( big_p @ ( sK25_Y @ SV27 ) )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(340,plain,
( ( ( ~ ( big_p @ sK22_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK38_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(341,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK22_X ) )
= $true )
| ( sK38_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(342,plain,
! [SV30: $i,SV33: $i] :
( ( ( big_p @ SV33 )
= $true )
| ( ( big_q @ SV30 )
= $false )
| ( sK37_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(343,plain,
( ( ( ~ ( big_p @ sK21_X )
| ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK37_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(344,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 )
| ( big_p @ sK21_X ) )
= $true )
| ( sK37_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(345,plain,
( ( ( ~ ( big_q @ sK35_X1 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK40_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(346,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ sK35_X1 )
= $true )
| ( sK40_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(347,plain,
( ( ( ~ ( big_q @ sK33_X1 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK39_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(348,plain,
( ( ( ! [SX0: $i] :
~ ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ sK33_X1 )
= $true )
| ( sK39_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(349,plain,
! [SV23: $i] :
( ( ( ~ ( big_q @ sK31_W1 ) )
= $true )
| ( ( big_p @ sK30_U1 )
= $true )
| ( ( big_q @ SV23 )
= $false )
| ( ( big_q @ ( sK32_Y1 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(350,plain,
! [SV24: $i] :
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ SV24 )
= $false )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(351,plain,
! [SV24: $i,SV32: $i] :
( ( ( big_p @ SV32 )
= $false )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $true )
| ( ( big_q @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(352,plain,
! [SV26: $i,SV29: $i] :
( ( ( ~ ( big_p @ SV29 )
| ~ ( big_p @ ( sK27_Y @ SV29 ) ) )
= $true )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(353,plain,
! [SV26: $i,SV29: $i] :
( ( ( ( big_p @ SV29 )
| ( big_p @ ( sK27_Y @ SV29 ) ) )
= $true )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(354,plain,
! [SV25: $i,SV27: $i] :
( ( ( big_p @ SV27 )
= $false )
| ( ( ~ ( big_p @ ( sK25_Y @ SV27 ) ) )
= $true )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(355,plain,
( ( ( ~ ( big_p @ sK22_X ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK38_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(356,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ sK22_X )
= $true )
| ( sK38_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(357,plain,
( ( ( ~ ( big_p @ sK21_X ) )
= $true )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK37_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(358,plain,
( ( ( ! [SX0: $i] :
~ ( big_p @ SX0 ) )
= $true )
| ( ( big_p @ sK21_X )
= $true )
| ( sK37_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(359,plain,
( ( ( big_q @ sK35_X1 )
= $false )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK40_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(360,plain,
! [SV34: $i] :
( ( ( ~ ( big_q @ SV34 ) )
= $true )
| ( ( big_q @ sK35_X1 )
= $true )
| ( sK40_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(361,plain,
( ( ( big_q @ sK33_X1 )
= $false )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( sK39_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(362,plain,
! [SV35: $i] :
( ( ( ~ ( big_q @ SV35 ) )
= $true )
| ( ( big_q @ sK33_X1 )
= $true )
| ( sK39_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(363,plain,
! [SV23: $i] :
( ( ( big_q @ sK31_W1 )
= $false )
| ( ( big_p @ sK30_U1 )
= $true )
| ( ( big_q @ SV23 )
= $false )
| ( ( big_q @ ( sK32_Y1 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(364,plain,
! [SV24: $i,SV36: $i] :
( ( ( ~ ( big_p @ SV36 ) )
= $true )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ SV24 )
= $false )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(365,plain,
! [SV24: $i,SV32: $i,SV37: $i] :
( ( ( big_q @ SV37 )
= $true )
| ( ( big_p @ SV32 )
= $false )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $true )
| ( ( big_q @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(366,plain,
! [SV26: $i,SV29: $i] :
( ( ( ~ ( big_p @ SV29 ) )
= $true )
| ( ( ~ ( big_p @ ( sK27_Y @ SV29 ) ) )
= $true )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(367,plain,
! [SV26: $i,SV29: $i] :
( ( ( big_p @ SV29 )
= $true )
| ( ( big_p @ ( sK27_Y @ SV29 ) )
= $true )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(368,plain,
! [SV25: $i,SV27: $i] :
( ( ( big_p @ ( sK25_Y @ SV27 ) )
= $false )
| ( ( big_p @ SV27 )
= $false )
| ( ( big_q @ sK26_U )
= $true )
| ( ( big_p @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(369,plain,
( ( ( big_p @ sK22_X )
= $false )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK38_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(370,plain,
! [SV38: $i] :
( ( ( ~ ( big_p @ SV38 ) )
= $true )
| ( ( big_p @ sK22_X )
= $true )
| ( sK38_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(371,plain,
( ( ( big_p @ sK21_X )
= $false )
| ( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true )
| ( sK37_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(372,plain,
! [SV39: $i] :
( ( ( ~ ( big_p @ SV39 ) )
= $true )
| ( ( big_p @ sK21_X )
= $true )
| ( sK37_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(373,plain,
! [SV40: $i] :
( ( ( big_q @ SV40 )
= $true )
| ( ( big_q @ sK35_X1 )
= $false )
| ( sK40_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(374,plain,
! [SV34: $i] :
( ( ( big_q @ SV34 )
= $false )
| ( ( big_q @ sK35_X1 )
= $true )
| ( sK40_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(375,plain,
! [SV41: $i] :
( ( ( big_q @ SV41 )
= $true )
| ( ( big_q @ sK33_X1 )
= $false )
| ( sK39_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(376,plain,
! [SV35: $i] :
( ( ( big_q @ SV35 )
= $false )
| ( ( big_q @ sK33_X1 )
= $true )
| ( sK39_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(377,plain,
! [SV24: $i,SV36: $i] :
( ( ( big_p @ SV36 )
= $false )
| ( ( ! [SX0: $i] : ( big_q @ SX0 ) )
= $true )
| ( ( big_q @ SV24 )
= $false )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(378,plain,
! [SV26: $i,SV29: $i] :
( ( ( big_p @ SV29 )
= $false )
| ( ( ~ ( big_p @ ( sK27_Y @ SV29 ) ) )
= $true )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(379,plain,
! [SV42: $i] :
( ( ( big_p @ SV42 )
= $true )
| ( ( big_p @ sK22_X )
= $false )
| ( sK38_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(380,plain,
! [SV38: $i] :
( ( ( big_p @ SV38 )
= $false )
| ( ( big_p @ sK22_X )
= $true )
| ( sK38_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(381,plain,
! [SV43: $i] :
( ( ( big_p @ SV43 )
= $true )
| ( ( big_p @ sK21_X )
= $false )
| ( sK37_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(382,plain,
! [SV39: $i] :
( ( ( big_p @ SV39 )
= $false )
| ( ( big_p @ sK21_X )
= $true )
| ( sK37_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(383,plain,
! [SV24: $i,SV36: $i,SV44: $i] :
( ( ( big_q @ SV44 )
= $true )
| ( ( big_p @ SV36 )
= $false )
| ( ( big_q @ SV24 )
= $false )
| ( ( big_q @ ( sK29_Y1 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(384,plain,
! [SV26: $i,SV29: $i] :
( ( ( big_p @ ( sK27_Y @ SV29 ) )
= $false )
| ( ( big_p @ SV29 )
= $false )
| ( ( big_p @ sK28_W )
= $false )
| ( ( big_q @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(385,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[297,384,383,382,381,380,379,376,375,374,373,368,367,365,363,342,339,333,327,306]) ).
thf(386,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[385,197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 20:25:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 0
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full).....................................
% 0.41/0.59
% 0.41/0.59 ********************************
% 0.41/0.59 * All subproblems solved! *
% 0.41/0.59 ********************************
% 0.41/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:385,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.46/0.66
% 0.46/0.66 %**** Beginning of derivation protocol ****
% 0.46/0.66 % SZS output start CNFRefutation
% See solution above
% 0.46/0.67
% 0.46/0.67 %**** End of derivation protocol ****
% 0.46/0.67 %**** no. of clauses in derivation: 386 ****
% 0.46/0.67 %**** clause counter: 385 ****
% 0.46/0.67
% 0.46/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:385,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------