TSTP Solution File: SEV221^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV221^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:43 EDT 2022
% Result : Theorem 281.37s 281.65s
% Output : CNFRefutation 281.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 39
% Syntax : Number of formulae : 485 ( 52 unt; 38 typ; 0 def)
% Number of atoms : 4581 (1736 equ; 0 cnn)
% Maximal formula atoms : 5 ( 10 avg)
% Number of connectives : 7031 (1808 ~;1530 |; 56 &;3629 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 749 ( 749 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 37 usr; 3 con; 0-4 aty)
% Number of variables : 1278 ( 650 ^ 604 !; 24 ?;1278 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cW,type,
cW: ( a > $o ) > $o ).
thf(tp_cZ,type,
cZ: a > $o ).
thf(tp_sK10_SV51,type,
sK10_SV51: ( a > $o ) > a ).
thf(tp_sK11_SV52,type,
sK11_SV52: ( a > $o ) > a ).
thf(tp_sK12_SV53,type,
sK12_SV53: ( a > $o ) > a ).
thf(tp_sK13_SV54,type,
sK13_SV54: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK14_E,type,
sK14_E: ( a > a > $o ) > a ).
thf(tp_sK15_E,type,
sK15_E: ( a > a > $o ) > a ).
thf(tp_sK16_E,type,
sK16_E: ( a > a > $o ) > a ).
thf(tp_sK17_E,type,
sK17_E: ( a > a > $o ) > a ).
thf(tp_sK18_E,type,
sK18_E: ( a > a ) > ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK19_E,type,
sK19_E: ( a > a ) > ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK20_E,type,
sK20_E: ( a > $o ) > ( a > a ) > ( a > a > $o ) > a ).
thf(tp_sK21_E,type,
sK21_E: ( a > $o ) > ( a > a ) > ( a > a > $o ) > a ).
thf(tp_sK22_E,type,
sK22_E: ( a > $o ) > a ).
thf(tp_sK23_E,type,
sK23_E: ( a > $o ) > a ).
thf(tp_sK24_E,type,
sK24_E: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK25_E,type,
sK25_E: ( a > $o ) > a ).
thf(tp_sK26_E,type,
sK26_E: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK27_E,type,
sK27_E: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK28_E,type,
sK28_E: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK29_E,type,
sK29_E: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK2_SY370,type,
sK2_SY370: a > $o ).
thf(tp_sK30_E,type,
sK30_E: ( a > $o ) > ( a > a > $o ) > ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK31_E,type,
sK31_E: ( a > a > $o ) > ( a > $o ) > ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK32_E,type,
sK32_E: ( a > a > $o ) > ( a > a ) > ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK33_E,type,
sK33_E: ( a > a ) > ( a > a > $o ) > ( a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK34_E,type,
sK34_E: ( a > $o ) > ( a > a > $o ) > ( a > a ) > ( a > a > $o ) > a ).
thf(tp_sK35_E,type,
sK35_E: ( a > $o ) > ( a > a ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(tp_sK3_SY371,type,
sK3_SY371: a > $o ).
thf(tp_sK4_SY374,type,
sK4_SY374: a > $o ).
thf(tp_sK5_SV3,type,
sK5_SV3: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK6_SV47,type,
sK6_SV47: ( a > $o ) > a ).
thf(tp_sK7_SV48,type,
sK7_SV48: ( a > $o ) > a ).
thf(tp_sK8_SV49,type,
sK8_SV49: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK9_SV50,type,
sK9_SV50: ( a > $o ) > a ).
thf(1,conjecture,
! [Xx: a] :
( ( ? [S: a > $o] :
( ( cW @ S )
& ( S @ Xx ) )
& ( cZ @ Xx ) )
<=> ? [S: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( S
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( S @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM61_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a] :
( ( ? [S: a > $o] :
( ( cW @ S )
& ( S @ Xx ) )
& ( cZ @ Xx ) )
<=> ? [S: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( S
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( S @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a] :
( ( ? [S: a > $o] :
( ( cW @ S )
& ( S @ Xx ) )
& ( cZ @ Xx ) )
<=> ? [S: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( S
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( S @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ? [SY370: a > $o] :
( ( cW @ SY370 )
& ( SY370 @ sK1_Xx ) )
& ( cZ @ sK1_Xx ) )
<=> ? [SY371: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( SY371
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( SY371 @ sK1_Xx ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ? [SY370: a > $o] :
( ( cW @ SY370 )
& ( SY370 @ sK1_Xx ) )
& ( cZ @ sK1_Xx ) )
=> ? [SY371: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( SY371
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( SY371 @ sK1_Xx ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[4]) ).
thf(6,plain,
( ( ? [SY371: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( SY371
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( SY371 @ sK1_Xx ) )
=> ( ? [SY370: a > $o] :
( ( cW @ SY370 )
& ( SY370 @ sK1_Xx ) )
& ( cZ @ sK1_Xx ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[4]) ).
thf(7,plain,
( ( ~ ( ( ? [SY370: a > $o] :
( ( cW @ SY370 )
& ( SY370 @ sK1_Xx ) )
& ( cZ @ sK1_Xx ) )
=> ? [SY371: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( SY371
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( SY371 @ sK1_Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ( ? [SY371: a > $o] :
( ? [Xt: a > $o] :
( ( cW @ Xt )
& ( SY371
= ( ^ [Xx0: a] :
( ( cZ @ Xx0 )
& ( Xt @ Xx0 ) ) ) ) )
& ( SY371 @ sK1_Xx ) )
=> ( ? [SY370: a > $o] :
( ( cW @ SY370 )
& ( SY370 @ sK1_Xx ) )
& ( cZ @ sK1_Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(9,plain,
( ( ( sK2_SY370 @ sK1_Xx )
& ( cW @ sK2_SY370 )
& ( cZ @ sK1_Xx )
& ! [SY371: a > $o] :
( ! [Xt: a > $o] :
( ( SY371
!= ( ^ [Xx0: a] :
( ( Xt @ Xx0 )
& ( cZ @ Xx0 ) ) ) )
| ~ ( cW @ Xt ) )
| ~ ( SY371 @ sK1_Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ( sK3_SY371
= ( ^ [SY376: a] :
( ( sK4_SY374 @ SY376 )
& ( cZ @ SY376 ) ) ) )
& ( cW @ sK4_SY374 )
& ( sK3_SY371 @ sK1_Xx )
& ( ! [SY370: a > $o] :
( ~ ( SY370 @ sK1_Xx )
| ~ ( cW @ SY370 ) )
| ~ ( cZ @ sK1_Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(11,plain,
( ( ( sK2_SY370 @ sK1_Xx )
& ( cW @ sK2_SY370 )
& ( cZ @ sK1_Xx )
& ! [SY371: a > $o] :
( ! [Xt: a > $o] :
( ( SY371
!= ( ^ [Xx0: a] :
( ( Xt @ Xx0 )
& ( cZ @ Xx0 ) ) ) )
| ~ ( cW @ Xt ) )
| ~ ( SY371 @ sK1_Xx ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) )
| ~ ( cZ @ sK1_Xx ) )
| ~ ! [SX0: a > $o] :
( ! [SX1: a > $o] :
( ( SX0
!= ( ^ [SX2: a] :
~ ( ~ ( SX1 @ SX2 )
| ~ ( cZ @ SX2 ) ) ) )
| ~ ( cW @ SX1 ) )
| ~ ( SX0 @ sK1_Xx ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) )
| ~ ( cZ @ sK1_Xx ) )
| ~ ! [SX0: a > $o] :
( ! [SX1: a > $o] :
( ( SX0
!= ( ^ [SX2: a] :
~ ( ~ ( SX1 @ SX2 )
| ~ ( cZ @ SX2 ) ) ) )
| ~ ( cW @ SX1 ) )
| ~ ( SX0 @ sK1_Xx ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) )
| ~ ( cZ @ sK1_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(15,plain,
( ( ~ ! [SX0: a > $o] :
( ! [SX1: a > $o] :
( ( SX0
!= ( ^ [SX2: a] :
~ ( ~ ( SX1 @ SX2 )
| ~ ( cZ @ SX2 ) ) ) )
| ~ ( cW @ SX1 ) )
| ~ ( SX0 @ sK1_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) )
| ~ ( cZ @ sK1_Xx ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ! [SX0: a > $o] :
( ! [SX1: a > $o] :
( ( SX0
!= ( ^ [SX2: a] :
~ ( ~ ( SX1 @ SX2 )
| ~ ( cZ @ SX2 ) ) ) )
| ~ ( cW @ SX1 ) )
| ~ ( SX0 @ sK1_Xx ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) )
| ~ ( cZ @ sK1_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: a > $o] :
( ( ! [SY377: a > $o] :
( ( SV1
!= ( ^ [SX2: a] :
~ ( ~ ( SY377 @ SX2 )
| ~ ( cZ @ SX2 ) ) ) )
| ~ ( cW @ SY377 ) )
| ~ ( SV1 @ sK1_Xx ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ( cZ @ sK1_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: a > $o] :
( ( ( ! [SY377: a > $o] :
( ( SV1
!= ( ^ [SX2: a] :
~ ( ~ ( SY377 @ SX2 )
| ~ ( cZ @ SX2 ) ) ) )
| ~ ( cW @ SY377 ) ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( cZ @ sK1_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ( SV1
!= ( ^ [SY379: a] :
~ ( ~ ( SV2 @ SY379 )
| ~ ( cZ @ SY379 ) ) ) )
| ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( sK2_SY370 @ sK1_Xx )
| ~ ( cW @ sK2_SY370 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ( SV1
!= ( ^ [SY379: a] :
~ ( ~ ( SV2 @ SY379 )
| ~ ( cZ @ SY379 ) ) ) ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ( sK2_SY370 @ sK1_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ~ ( cW @ sK2_SY370 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1
= ( ^ [SY379: a] :
~ ( ~ ( SV2 @ SY379 )
| ~ ( cZ @ SY379 ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( sK2_SY370 @ sK1_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( cW @ sK2_SY370 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ! [SV3: a] :
( ( SV1 @ SV3 )
= ( ~ ( ~ ( SV2 @ SV3 )
| ~ ( cZ @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[30]) ).
thf(34,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1
= ( ^ [SY379: a] :
~ ( ~ ( SV2 @ SY379 )
| ~ ( cZ @ SY379 ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= ( ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[33]) ).
thf(36,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( SV1
= ( ^ [SY379: a] :
~ ( ~ ( SV2 @ SY379 )
| ~ ( cZ @ SY379 ) ) ) )
= $false )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(37,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) )
| ~ ( ~ ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(38,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= ( ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
= ( ^ [SY379: a] :
~ ( ~ ( SV2 @ SY379 )
| ~ ( cZ @ SY379 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= ( ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(45,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= ( ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(51,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(52,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
| ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(59,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(60,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( cW @ SV2 ) )
= $true )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(63,plain,
! [SV1: a > $o,SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( SV1 @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(64,plain,
! [SV2: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( SV2 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK5_SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(65,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
= ( ^ [SX0: a] :
~ ( ~ $true
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV7: a] : $true ))]]) ).
thf(66,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
= ( ^ [SX0: a] :
~ ( ~ $false
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV6: a] : $false ))]]) ).
thf(67,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
= ( ^ [SX0: a] :
~ ( ~ ~ ( SV5 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV4: a] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(68,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
= ( ^ [SX0: a] :
~ ( ( SX0 != sK1_Xx )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV8: a] : ( SV8 = sK1_Xx ) ))]]) ).
thf(69,plain,
! [SV2: a > $o] :
( ( $true = $false )
| ( ( ( ^ [SX0: a] : $true )
= ( ^ [SX0: a] :
~ ( ~ ( SV2 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV12: a] : $true ))]]) ).
thf(71,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ sK1_Xx ) )
= $false )
| ( ( ( ^ [SX0: a] :
~ ( SV10 @ SX0 ) )
= ( ^ [SX0: a] :
~ ( ~ ( SV2 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV9: a] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(72,plain,
! [SV2: a > $o] :
( ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( ( ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= ( ^ [SX0: a] :
~ ( ~ ( SV2 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV13: a] : ( SV13 = sK1_Xx ) ))]]) ).
thf(73,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= ( ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[45:[bind(SV2,$thf( ^ [SV7: a] : $true ))]]) ).
thf(74,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= ( ~ ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[45:[bind(SV2,$thf( ^ [SV6: a] : $false ))]]) ).
thf(75,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= ( ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[45:[bind(SV2,$thf( ^ [SV4: a] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(76,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= ( ~ ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) ) ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(prim_subst,[status(thm)],[45:[bind(SV2,$thf( ^ [SV8: a] : ( SV8 = sK1_Xx ) ))]]) ).
thf(77,plain,
! [SV2: a > $o] :
( ( $true = $false )
| ( ( $true
= ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[45:[bind(SV1,$thf( ^ [SV12: a] : $true ))]]) ).
thf(79,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ sK1_Xx ) )
= $false )
| ( ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[45:[bind(SV1,$thf( ^ [SV9: a] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(80,plain,
! [SV2: a > $o] :
( ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[45:[bind(SV1,$thf( ^ [SV13: a] : ( SV13 = sK1_Xx ) ))]]) ).
thf(82,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( $false = $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[59:[bind(SV2,$thf( ^ [SV6: a] : $false ))]]) ).
thf(83,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[59:[bind(SV2,$thf( ^ [SV4: a] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(84,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
= sK1_Xx )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(prim_subst,[status(thm)],[59:[bind(SV2,$thf( ^ [SV8: a] : ( SV8 = sK1_Xx ) ))]]) ).
thf(87,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ sK1_Xx ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[59:[bind(SV1,$thf( ^ [SV9: a] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(88,plain,
! [SV2: a > $o] :
( ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[59:[bind(SV1,$thf( ^ [SV13: a] : ( SV13 = sK1_Xx ) ))]]) ).
thf(89,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV2,$thf( ^ [SV7: a] : $true ))]]) ).
thf(90,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV2,$thf( ^ [SV6: a] : $false ))]]) ).
thf(91,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV2,$thf( ^ [SV4: a] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(92,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV2,$thf( ^ [SV8: a] : ( SV8 = sK1_Xx ) ))]]) ).
thf(95,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ sK1_Xx ) )
= $false )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV1,$thf( ^ [SV9: a] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(96,plain,
! [SV2: a > $o] :
( ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV1,$thf( ^ [SV13: a] : ( SV13 = sK1_Xx ) ))]]) ).
thf(97,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( $true = $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(prim_subst,[status(thm)],[64:[bind(SV2,$thf( ^ [SV7: a] : $true ))]]) ).
thf(99,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[64:[bind(SV2,$thf( ^ [SV4: a] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(101,plain,
! [SV2: a > $o] :
( ( $true = $false )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[64:[bind(SV1,$thf( ^ [SV12: a] : $true ))]]) ).
thf(103,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ sK1_Xx ) )
= $false )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(prim_subst,[status(thm)],[64:[bind(SV1,$thf( ^ [SV9: a] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(105,plain,
! [SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( ~ ( SV2 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[39:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( SV2 @ SX0 ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(106,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( ~ ( cZ @ sK1_Xx )
| ~ ( SV23 @ sK1_Xx ) ) )
= $false )
| ( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[45:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( cZ @ SX0 ) | ~ ( SV23 @ SX0 ) ) ))]]) ).
thf(107,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( ~ ( SV36 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) ) )
= $false )
| ( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[45:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( SV36 @ SX0 ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(108,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(109,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ~ ( SV36 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(110,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ~ ( cZ @ sK1_Xx )
| ~ ( SV23 @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ sK1_Xx ) )
= $true )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(112,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ~ ( SV36 @ sK1_Xx ) )
= $true )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(113,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( ~ ( SV23 @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV2: a > $o] :
( ( ( SV2 @ sK1_Xx )
= $false )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( SV36 @ sK1_Xx )
= $false )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( cZ @ sK1_Xx )
= $false )
| ( ( ~ ( SV23 @ sK1_Xx ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV2: a > $o] :
( ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV2 @ sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( SV23 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ~ ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
| ~ ( ~ ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[118]) ).
thf(121,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[118]) ).
thf(122,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ~ ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
| ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
| ~ ( ~ ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
| ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[119]) ).
thf(123,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[119]) ).
thf(124,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ~ ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(125,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ~ ( ~ ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(126,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ~ ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
| ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(127,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ~ ( ~ ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
| ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(128,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(129,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ~ ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
| ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(131,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ~ ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
| ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(132,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $true )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(133,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( ~ ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(134,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= $true )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(135,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( ~ ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(136,plain,
! [SV2: a > $o,SV36: a > $o] :
( ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(137,plain,
! [SV2: a > $o,SV23: a > $o] :
( ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(138,plain,
! [SV36: a > $o,SV2: a > $o] :
( ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( SV36
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV36 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( SV36 @ sK1_Xx )
= $false )
| ( ( cZ @ sK1_Xx )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(139,plain,
! [SV23: a > $o,SV2: a > $o] :
( ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= $false )
| ( ( SV23
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV23 @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false )
| ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV23 @ sK1_Xx )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(140,plain,
! [SV1: a > $o] :
( ( ( ! [SV47: a] :
( ( SV1 @ SV47 )
= ( ~ ( ~ $true
| ~ ( cZ @ SV47 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[65]) ).
thf(141,plain,
! [SV1: a > $o] :
( ( ( SV1
= ( ^ [SX0: a] :
~ ( ~ $true
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[65]) ).
thf(142,plain,
! [SV1: a > $o] :
( ( ( ! [SV48: a] :
( ( SV1 @ SV48 )
= ( ~ ( ~ $false
| ~ ( cZ @ SV48 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[66]) ).
thf(143,plain,
! [SV1: a > $o] :
( ( ( SV1
= ( ^ [SX0: a] :
~ ( ~ $false
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[66]) ).
thf(144,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ! [SV49: a] :
( ( SV1 @ SV49 )
= ( ~ ( ~ ~ ( SV5 @ SV49 )
| ~ ( cZ @ SV49 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[67]) ).
thf(145,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1
= ( ^ [SX0: a] :
~ ( ~ ~ ( SV5 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[67]) ).
thf(146,plain,
! [SV1: a > $o] :
( ( ( ! [SV50: a] :
( ( SV1 @ SV50 )
= ( ~ ( ( SV50 != sK1_Xx )
| ~ ( cZ @ SV50 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[68]) ).
thf(147,plain,
! [SV1: a > $o] :
( ( ( SV1
= ( ^ [SX0: a] :
~ ( ( SX0 != sK1_Xx )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[68]) ).
thf(148,plain,
! [SV2: a > $o] :
( ( ( ! [SV51: a] :
( $true
= ( ~ ( ~ ( SV2 @ SV51 )
| ~ ( cZ @ SV51 ) ) ) ) )
= $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[69]) ).
thf(152,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ sK1_Xx )
= $true )
| ( ( ( ^ [SX0: a] :
~ ( SV10 @ SX0 ) )
= ( ^ [SX0: a] :
~ ( ~ ( SV2 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(153,plain,
! [SV2: a > $o] :
( ( ( ! [SV53: a] :
( ( SV53 = sK1_Xx )
= ( ~ ( ~ ( SV2 @ SV53 )
| ~ ( cZ @ SV53 ) ) ) ) )
= $false )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[72]) ).
thf(155,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
| ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) )
| ~ ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
| ~ ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[73]) ).
thf(156,plain,
! [SV1: a > $o] :
( ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= ( ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[73]) ).
thf(157,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
| ~ ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) ) )
| ~ ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
| ~ ~ ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[74]) ).
thf(158,plain,
! [SV1: a > $o] :
( ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= ( ~ ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[74]) ).
thf(159,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) )
| ~ ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[75]) ).
thf(160,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= ( ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[75]) ).
thf(161,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
| ~ ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) ) )
| ~ ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
| ~ ~ ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[76]) ).
thf(163,plain,
! [SV2: a > $o] :
( ( ( ~ ( $true
| ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) )
| ~ ( ~ $true
| ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) ) )
= $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[77]) ).
thf(167,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ sK1_Xx )
= $true )
| ( ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(168,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
| ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) ) )
| ~ ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
!= sK1_Xx )
| ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) ) ) )
= $false )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[80]) ).
thf(170,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(171,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ sK1_Xx )
= $true )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(172,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(173,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(174,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(175,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= ( ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[140]) ).
thf(176,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= ( ~ ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(177,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= ( ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[144]) ).
thf(178,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
= ( ~ ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx )
| ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[146]) ).
thf(179,plain,
! [SV2: a > $o] :
( ( ( $true
= ( ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) ) )
= $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[148]) ).
thf(181,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ! [SV54: a] :
( ( ~ ( SV10 @ SV54 ) )
= ( ~ ( ~ ( SV2 @ SV54 )
| ~ ( cZ @ SV54 ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[152]) ).
thf(182,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ( ^ [SX0: a] :
~ ( SV10 @ SX0 ) )
= ( ^ [SX0: a] :
~ ( ~ ( SV2 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[152]) ).
thf(183,plain,
! [SV2: a > $o] :
( ( ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= ( ~ ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) )
| ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(184,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
| ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(185,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
| ~ ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(186,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
| ~ ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(188,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(189,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(190,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
| ~ ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(193,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ $true
| ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) ) )
= $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(196,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
| ~ ( ~ ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[167]) ).
thf(197,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[167]) ).
thf(198,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
| ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) ) ) )
= $false )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(200,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(201,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(202,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(203,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
| ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) )
| ~ ( ~ ( SV1 @ ( sK6_SV47 @ SV1 ) )
| ~ ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[175]) ).
thf(204,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= ( ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[175]) ).
thf(205,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
| ~ ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) ) )
| ~ ( ~ ( SV1 @ ( sK7_SV48 @ SV1 ) )
| ~ ~ ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(206,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= ( ~ ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(207,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) )
| ~ ( ~ ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[177]) ).
thf(208,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= ( ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[177]) ).
thf(209,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
| ~ ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx )
| ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) ) )
| ~ ( ~ ( SV1 @ ( sK9_SV50 @ SV1 ) )
| ~ ~ ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx )
| ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[178]) ).
thf(211,plain,
! [SV2: a > $o] :
( ( ( ~ ( $true
| ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) )
| ~ ( ~ $true
| ~ ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) ) )
= $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(215,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ( ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= ( ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[181]) ).
thf(216,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
| ~ ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) )
| ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) ) )
| ~ ( ( ( sK12_SV53 @ SV2 )
!= sK1_Xx )
| ~ ~ ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) )
| ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[183]) ).
thf(218,plain,
! [SV1: a > $o] :
( ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
| ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(219,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
| ~ ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(220,plain,
! [SV1: a > $o] :
( ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
| ~ ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(222,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(223,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(224,plain,
! [SV1: a > $o] :
( ( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
| ~ ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(227,plain,
! [SV2: a > $o] :
( ( ( ~ $true
| ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) )
= $true )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(230,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(231,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(232,plain,
! [SV2: a > $o] :
( ( ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
| ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) ) )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(234,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
| ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(235,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK6_SV47 @ SV1 ) )
| ~ ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(236,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
| ~ ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(238,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(239,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(240,plain,
! [SV1: a > $o] :
( ( ( ~ ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
| ~ ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx )
| ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(243,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ $true
| ~ ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) ) )
= $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(246,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
| ~ ( ~ ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[215]) ).
thf(247,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ( ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= ( ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[215]) ).
thf(248,plain,
! [SV2: a > $o] :
( ( ( ~ ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
| ~ ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) )
| ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) ) ) )
= $false )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(250,plain,
! [SV1: a > $o] :
( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $true )
| ( ( ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(251,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(252,plain,
! [SV1: a > $o] :
( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( ~ ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(254,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(255,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(256,plain,
! [SV1: a > $o] :
( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( ~ ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(259,plain,
! [SV2: a > $o] :
( ( ( ~ $true )
= $true )
| ( ( ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) )
= $true )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(262,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(263,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(264,plain,
! [SV2: a > $o] :
( ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) ) )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(266,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
| ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(267,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK6_SV47 @ SV1 ) )
| ~ ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(268,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
| ~ ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(270,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(271,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(272,plain,
! [SV1: a > $o] :
( ( ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
| ~ ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx )
| ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(275,plain,
! [SV2: a > $o] :
( ( ( ~ $true
| ~ ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) )
= $true )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(278,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(279,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( ~ ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(280,plain,
! [SV2: a > $o] :
( ( ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
| ~ ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) )
| ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) ) )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(282,plain,
! [SV1: a > $o] :
( ( ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(283,plain,
! [SV1: a > $o] :
( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( ~ ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(284,plain,
! [SV1: a > $o] :
( ( ( ~ $false
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(286,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(287,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(288,plain,
! [SV1: a > $o] :
( ( ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(291,plain,
! [SV2: a > $o] :
( ( $true = $false )
| ( ( ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) )
= $true )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(294,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(295,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(296,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) )
= $false )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(298,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $true )
| ( ( ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(299,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK6_SV47 @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(300,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( ~ ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(302,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(303,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( ~ ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(304,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
= $true )
| ( ( ~ ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx )
| ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(307,plain,
! [SV2: a > $o] :
( ( ( ~ $true )
= $true )
| ( ( ~ ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) )
= $true )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(310,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(311,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(312,plain,
! [SV2: a > $o] :
( ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( ~ ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) )
| ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) ) )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(315,plain,
! [SV1: a > $o] :
( ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(316,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(317,plain,
! [SV1: a > $o] :
( ( ( ~ $false )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(318,plain,
! [SV1: a > $o] :
( ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(320,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(321,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(322,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(323,plain,
! [SV1: a > $o] :
( ( ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
!= sK1_Xx ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(324,plain,
! [SV1: a > $o] :
( ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(328,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) ) )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(332,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(333,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $false )
| ( ( ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(334,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) )
= $false )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(335,plain,
! [SV2: a > $o] :
( ( ( ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) ) )
= $false )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(337,plain,
! [SV1: a > $o] :
( ( ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(338,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( ~ ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(339,plain,
! [SV1: a > $o] :
( ( ( ~ $false
| ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(341,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(342,plain,
! [SV5: a > $o,SV1: a > $o] :
( ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( ~ ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(343,plain,
! [SV1: a > $o] :
( ( ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx )
| ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(346,plain,
! [SV2: a > $o] :
( ( $true = $false )
| ( ( ~ ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) )
= $true )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(349,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $true )
| ( ( ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(350,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(351,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) )
| ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) )
= $false )
| ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(354,plain,
! [SV1: a > $o] :
( ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(355,plain,
! [SV1: a > $o] :
( ( ( ~ $true
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(356,plain,
! [SV1: a > $o] :
( ( $false = $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(357,plain,
! [SV1: a > $o] :
( ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(359,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(360,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(361,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
| ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(362,plain,
! [SV1: a > $o] :
( ( ( ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 )
= sK1_Xx )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(363,plain,
! [SV1: a > $o] :
( ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : ( SX0 = sK1_Xx )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(367,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(371,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $false )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(372,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( ~ ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(373,plain,
! [SV2: a > $o] :
( ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(374,plain,
! [SV2: a > $o] :
( ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(377,plain,
! [SV1: a > $o] :
( ( ( ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(378,plain,
! [SV1: a > $o] :
( ( ( ~ ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(379,plain,
! [SV1: a > $o] :
( ( ( ~ $false )
= $false )
| ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(380,plain,
! [SV1: a > $o] :
( ( ( ~ ( cZ @ ( sK7_SV48 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(382,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(383,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(384,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(385,plain,
! [SV1: a > $o] :
( ( ( ( ( sK9_SV50 @ SV1 )
!= sK1_Xx ) )
= $false )
| ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(386,plain,
! [SV1: a > $o] :
( ( ( ~ ( cZ @ ( sK9_SV50 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(390,plain,
! [SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) ) )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(394,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(395,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( ~ ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(396,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK12_SV53 @ SV2 ) ) )
= $false )
| ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(397,plain,
! [SV2: a > $o] :
( ( ( ~ ( cZ @ ( sK12_SV53 @ SV2 ) ) )
= $false )
| ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(399,plain,
! [SV1: a > $o] :
( ( ( ~ $true )
= $true )
| ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(401,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(402,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(404,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) )
= $true )
| ( ( ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(406,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $false )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(407,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $false )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(408,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) ) )
= $false )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(411,plain,
! [SV1: a > $o] :
( ( ( cZ @ ( sK6_SV47 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(412,plain,
! [SV1: a > $o] :
( ( ( ~ $true
| ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(413,plain,
! [SV1: a > $o] :
( ( $false = $true )
| ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(414,plain,
! [SV1: a > $o] :
( ( ( cZ @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(416,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(417,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(418,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
| ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(419,plain,
! [SV1: a > $o] :
( ( ( ( sK9_SV50 @ SV1 )
= sK1_Xx )
= $true )
| ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(420,plain,
! [SV1: a > $o] :
( ( ( cZ @ ( sK9_SV50 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK9_SV50 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(424,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) )
| ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(428,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $false )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(429,plain,
! [SV2: a > $o,SV10: a > $o] :
( ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( ~ ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(430,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK12_SV53 @ SV2 ) )
= $true )
| ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(431,plain,
! [SV2: a > $o] :
( ( ( cZ @ ( sK12_SV53 @ SV2 ) )
= $true )
| ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( sK1_Xx = sK1_Xx )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(433,plain,
! [SV1: a > $o] :
( ( $true = $false )
| ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(435,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $false )
| ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(437,plain,
! [SV2: a > $o] :
( ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( ( ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) ) )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(439,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(440,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(441,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
| ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(443,plain,
! [SV1: a > $o] :
( ( ( ~ $true )
= $true )
| ( ( ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(445,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(446,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $true )
| ( ( ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(448,plain,
! [SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK10_SV51 @ SV2 ) ) )
= $true )
| ( ( ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(450,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $false )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(451,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $false )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(452,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) ) )
= $false )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(454,plain,
! [SV1: a > $o] :
( ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( $true = $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(456,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( ~ ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(458,plain,
! [SV2: a > $o] :
( ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(460,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(462,plain,
! [SV1: a > $o] :
( ( $true = $false )
| ( ( ~ ( cZ @ ( sK6_SV47 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(464,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( ~ ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $false )
| ( ( ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(466,plain,
! [SV2: a > $o] :
( ( ( SV2 @ ( sK10_SV51 @ SV2 ) )
= $false )
| ( ( ~ ( cZ @ ( sK10_SV51 @ SV2 ) ) )
= $true )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(468,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(469,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(470,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
| ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(472,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $true )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(473,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( ~ ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(474,plain,
! [SV1: a > $o] :
( ( ( cZ @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( $true = $false )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(476,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( ~ ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(478,plain,
! [SV2: a > $o] :
( ( ( cZ @ ( sK10_SV51 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK10_SV51 @ SV2 ) )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(480,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( ~ ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $true )
| ( ( ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(482,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $false )
| ( ( SV10
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(483,plain,
! [SV1: a > $o,SV5: a > $o] :
( ( ( cZ @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV5 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK8_SV49 @ SV5 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(484,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( ~ ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) ) )
= $true )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(485,plain,
! [SV10: a > $o,SV2: a > $o] :
( ( ( cZ @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( SV2 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $false )
| ( ( SV10 @ ( sK13_SV54 @ SV2 @ SV10 ) )
= $true )
| ( ( SV10 @ sK1_Xx )
= $true )
| ( ( cW @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(486,plain,
( ( ( cW
@ ^ [SX0: a] : $true )
= $false )
| ( ( ~ ( ~ ( cZ @ sK1_Xx )
| ~ $true ) )
= $false ) ),
inference(extuni,[status(esa)],[204:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( cZ @ SX0 ) | ~ ( $true ) ) ))]]) ).
thf(487,plain,
( ( ( cW
@ ^ [SX0: a] : $true )
= $false )
| ( ( ~ ( ~ $true
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[204:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( $true ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(488,plain,
( ( ( cW
@ ^ [SX0: a] : $true )
= $false )
| ( ( ~ ( ~ $true
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[141:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( $true ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(489,plain,
( ( ( cW
@ ^ [SX0: a] : $false )
= $false )
| ( ( ~ ( ~ ( cZ @ sK1_Xx )
| ~ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[206:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( cZ @ SX0 ) | ~ ( $false ) ) ))]]) ).
thf(490,plain,
( ( ( cW
@ ^ [SX0: a] : $false )
= $false )
| ( ( ~ ( ~ $false
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[206:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( $false ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(491,plain,
( ( ( cW
@ ^ [SX0: a] : $false )
= $false )
| ( ( ~ ( ~ $false
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( $false ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(492,plain,
! [SV5: a > $o,SV157: a > $o] :
( ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ( cZ @ sK1_Xx )
| ~ ~ ( SV157 @ sK1_Xx ) ) )
= $false )
| ( ( ( SV157
@ ( sK8_SV49 @ SV5
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ~ ( SV157 @ SX0 ) ) ) )
= ( SV5
@ ( sK8_SV49 @ SV5
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ~ ( SV157 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[208:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( cZ @ SX0 ) | ~ ( ~ ( SV157 @ SX0 ) ) ) ))]]) ).
thf(493,plain,
! [SV5: a > $o,SV173: a > $o] :
( ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV173 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) ) )
= $false )
| ( ( ( SV173
@ ( sK8_SV49 @ SV5
@ ^ [SX0: a] :
~ ( ~ ~ ( SV173 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV5
@ ( sK8_SV49 @ SV5
@ ^ [SX0: a] :
~ ( ~ ~ ( SV173 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[208:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( ~ ( SV173 @ SX0 ) ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(494,plain,
! [SV5: a > $o] :
( ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV5 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[145:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( ~ ( SV5 @ SX0 ) ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(495,plain,
( ( ( cW
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= $false )
| ( ( ~ ( ( sK1_Xx != sK1_Xx )
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[147:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ( SX0 != sK1_Xx ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(496,plain,
! [SV2: a > $o,SV339: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( cZ @ sK1_Xx )
| ~ ( SV339 @ sK1_Xx ) )
= $true )
| ( ( ( SV339
@ ( sK13_SV54 @ SV2
@ ^ [SX0: a] :
( ~ ( cZ @ SX0 )
| ~ ( SV339 @ SX0 ) ) ) )
= ( SV2
@ ( sK13_SV54 @ SV2
@ ^ [SX0: a] :
( ~ ( cZ @ SX0 )
| ~ ( SV339 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[247:[bind(SV10,$thf( ^ [SX0: a] : ( ~ ( cZ @ SX0 ) | ~ ( SV339 @ SX0 ) ) ))]]) ).
thf(497,plain,
! [SV2: a > $o,SV352: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( SV352 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( ( SV352
@ ( sK13_SV54 @ SV2
@ ^ [SX0: a] :
( ~ ( SV352 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK13_SV54 @ SV2
@ ^ [SX0: a] :
( ~ ( SV352 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[247:[bind(SV10,$thf( ^ [SX0: a] : ( ~ ( SV352 @ SX0 ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(498,plain,
! [SV2: a > $o,SV369: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( cZ @ sK1_Xx )
| ~ ( SV369 @ sK1_Xx ) )
= $true )
| ( ( ( SV369
@ ( sK24_E @ SV2
@ ^ [SX0: a] :
( ~ ( cZ @ SX0 )
| ~ ( SV369 @ SX0 ) ) ) )
= ( SV2
@ ( sK24_E @ SV2
@ ^ [SX0: a] :
( ~ ( cZ @ SX0 )
| ~ ( SV369 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[182:[bind(SV10,$thf( ^ [SX0: a] : ( ~ ( cZ @ SX0 ) | ~ ( SV369 @ SX0 ) ) ))]]) ).
thf(499,plain,
! [SV2: a > $o,SV382: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( SV382 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( ( SV382
@ ( sK24_E @ SV2
@ ^ [SX0: a] :
( ~ ( SV382 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK24_E @ SV2
@ ^ [SX0: a] :
( ~ ( SV382 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[182:[bind(SV10,$thf( ^ [SX0: a] : ( ~ ( SV382 @ SX0 ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(500,plain,
! [SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( SV2 @ ( sK12_SV53 @ SV2 ) )
= $true ) ),
inference(extuni,[status(esa)],[430]) ).
thf(501,plain,
! [SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ( sK12_SV53 @ SV2 )
= sK1_Xx )
= $true )
| ( ( cZ @ ( sK12_SV53 @ SV2 ) )
= $true ) ),
inference(extuni,[status(esa)],[431]) ).
thf(502,plain,
( ( ( cW
@ ^ [SX0: a] : $true )
= $false )
| ( ( ~ ( ~ ( cZ @ sK1_Xx )
| ~ $true ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( cZ @ SX0 ) | ~ ( $true ) ) ))]]) ).
thf(503,plain,
( ( ( cW
@ ^ [SX0: a] : $true )
= $false )
| ( ( ~ ( ~ $true
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( $true ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(504,plain,
( ( ( cW
@ ^ [SX0: a] : $false )
= $false )
| ( ( ~ ( ~ ( cZ @ sK1_Xx )
| ~ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[158:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( cZ @ SX0 ) | ~ ( $false ) ) ))]]) ).
thf(505,plain,
( ( ( cW
@ ^ [SX0: a] : $false )
= $false )
| ( ( ~ ( ~ $false
| ~ ( cZ @ sK1_Xx ) ) )
= $false ) ),
inference(extuni,[status(esa)],[158:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( $false ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(506,plain,
! [SV5: a > $o,SV495: a > $o] :
( ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ( cZ @ sK1_Xx )
| ~ ~ ( SV495 @ sK1_Xx ) ) )
= $false )
| ( ( ( SV495
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ~ ( SV495 @ SX0 ) ) ) )
= ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ~ ( SV495 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( cZ @ SX0 ) | ~ ( ~ ( SV495 @ SX0 ) ) ) ))]]) ).
thf(507,plain,
! [SV5: a > $o,SV516: a > $o] :
( ( ( cW
@ ^ [SX0: a] :
~ ( SV5 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ( SV516 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) ) )
= $false )
| ( ( ( SV516
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ ^ [SX0: a] :
~ ( ~ ~ ( SV516 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV5
@ ( sK5_SV3
@ ^ [SX0: a] :
~ ( SV5 @ SX0 )
@ ^ [SX0: a] :
~ ( ~ ~ ( SV516 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV1,$thf( ^ [SX0: a] : ~ ( ~ ( ~ ( SV516 @ SX0 ) ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(508,plain,
! [SV2: a > $o,SV727: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( cZ @ sK1_Xx )
| ~ ( SV727 @ sK1_Xx ) )
= $true )
| ( ( ( SV727
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV727 @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( cZ @ SX0 )
| ~ ( SV727 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV10,$thf( ^ [SX0: a] : ( ~ ( cZ @ SX0 ) | ~ ( SV727 @ SX0 ) ) ))]]) ).
thf(509,plain,
! [SV2: a > $o,SV740: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ~ ( SV740 @ sK1_Xx )
| ~ ( cZ @ sK1_Xx ) )
= $true )
| ( ( ( SV740
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV740 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] :
~ ( ~ ( SV740 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV10,$thf( ^ [SX0: a] : ( ~ ( SV740 @ SX0 ) | ~ ( cZ @ SX0 ) ) ))]]) ).
thf(510,plain,
! [SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true ) ),
inference(extuni,[status(esa)],[373]) ).
thf(511,plain,
! [SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true ) ),
inference(extuni,[status(esa)],[374]) ).
thf(512,plain,
! [SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true ) ),
inference(extuni,[status(esa)],[88]) ).
thf(513,plain,
! [SV2: a > $o] :
( ( ( cW @ SV2 )
= $false )
| ( ( ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) )
= sK1_Xx )
= $true )
| ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : ( SX0 = sK1_Xx ) ) )
= $true ) ),
inference(extuni,[status(esa)],[96]) ).
thf(514,plain,
! [SV1: a > $o] :
( ( ( cZ @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK6_SV47 @ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(sim,[status(thm)],[474]) ).
thf(515,plain,
! [SV1: a > $o] :
( ( ( SV1 @ ( sK7_SV48 @ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(sim,[status(thm)],[413]) ).
thf(516,plain,
! [SV2: a > $o] :
( ( ( cZ @ ( sK10_SV51 @ SV2 ) )
= $false )
| ( ( SV2 @ ( sK10_SV51 @ SV2 ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(sim,[status(thm)],[478]) ).
thf(517,plain,
! [SV1: a > $o] :
( ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(sim,[status(thm)],[454]) ).
thf(518,plain,
! [SV1: a > $o] :
( ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(sim,[status(thm)],[356]) ).
thf(519,plain,
! [SV2: a > $o] :
( ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(sim,[status(thm)],[458]) ).
thf(520,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $false
@ SV1 ) )
= $true )
| ( ( cW
@ ^ [SX0: a] : $false )
= $false ) ),
inference(sim,[status(thm)],[82]) ).
thf(521,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK1_Xx )
= $false )
| ( ( cZ
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( SV1
@ ( sK5_SV3
@ ^ [SX0: a] : $true
@ SV1 ) )
= $false )
| ( ( cW
@ ^ [SX0: a] : $true )
= $false ) ),
inference(sim,[status(thm)],[97]) ).
thf(522,plain,
! [SV2: a > $o] :
( ( ( cZ
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( ( SV2
@ ( sK5_SV3 @ SV2
@ ^ [SX0: a] : $true ) )
= $false )
| ( ( cW @ SV2 )
= $false ) ),
inference(sim,[status(thm)],[101]) ).
thf(523,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,483,482,472,469,468,445,440,439,420,419,417,414,411,401,363,362,360,357,354,202,201,200,173,170,139,138,134,132,123,121,117,92,91,90,89,84,64,60,59,45,39,32,31]) ).
thf(524,plain,
( ( ( sK3_SY371
= ( ^ [SY376: a] :
( ( sK4_SY374 @ SY376 )
& ( cZ @ SY376 ) ) ) )
& ( cW @ sK4_SY374 )
& ( sK3_SY371 @ sK1_Xx )
& ( ! [SY370: a > $o] :
( ~ ( SY370 @ sK1_Xx )
| ~ ( cW @ SY370 ) )
| ~ ( cZ @ sK1_Xx ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(525,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) )
| ~ ( sK3_SY371 @ sK1_Xx ) )
| ~ ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK1_Xx )
| ~ ( cW @ SX0 ) )
| ~ ( cZ @ sK1_Xx ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[524]) ).
thf(526,plain,
( ( ~ ~ ( ~ ~ ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) )
| ~ ( sK3_SY371 @ sK1_Xx ) )
| ~ ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK1_Xx )
| ~ ( cW @ SX0 ) )
| ~ ( cZ @ sK1_Xx ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(527,plain,
( ( ~ ~ ( ~ ~ ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) )
| ~ ( sK3_SY371 @ sK1_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(528,plain,
( ( ~ ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK1_Xx )
| ~ ( cW @ SX0 ) )
| ~ ( cZ @ sK1_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(529,plain,
( ( ~ ( ~ ~ ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) )
| ~ ( sK3_SY371 @ sK1_Xx ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(530,plain,
( ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK1_Xx )
| ~ ( cW @ SX0 ) )
| ~ ( cZ @ sK1_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(531,plain,
( ( ~ ~ ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) )
| ~ ( sK3_SY371 @ sK1_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(532,plain,
( ( ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK1_Xx )
| ~ ( cW @ SX0 ) ) )
= $true )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(533,plain,
( ( ~ ~ ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(534,plain,
( ( ~ ( sK3_SY371 @ sK1_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(535,plain,
! [SV751: a > $o] :
( ( ( ~ ( SV751 @ sK1_Xx )
| ~ ( cW @ SV751 ) )
= $true )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(536,plain,
( ( ~ ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(537,plain,
( ( sK3_SY371 @ sK1_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(538,plain,
! [SV751: a > $o] :
( ( ( ~ ( SV751 @ sK1_Xx ) )
= $true )
| ( ( ~ ( cW @ SV751 ) )
= $true )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(539,plain,
( ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
| ~ ( cW @ sK4_SY374 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(540,plain,
! [SV751: a > $o] :
( ( ( SV751 @ sK1_Xx )
= $false )
| ( ( ~ ( cW @ SV751 ) )
= $true )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(541,plain,
( ( ( sK3_SY371
!= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(542,plain,
( ( ~ ( cW @ sK4_SY374 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(543,plain,
! [SV751: a > $o] :
( ( ( cW @ SV751 )
= $false )
| ( ( SV751 @ sK1_Xx )
= $false )
| ( ( ~ ( cZ @ sK1_Xx ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(544,plain,
( ( sK3_SY371
= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(545,plain,
( ( cW @ sK4_SY374 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(546,plain,
! [SV751: a > $o] :
( ( ( cZ @ sK1_Xx )
= $false )
| ( ( SV751 @ sK1_Xx )
= $false )
| ( ( cW @ SV751 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(547,plain,
( ( ! [SV752: a] :
( ( sK3_SY371 @ SV752 )
= ( ~ ( ~ ( sK4_SY374 @ SV752 )
| ~ ( cZ @ SV752 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(548,plain,
( ( sK3_SY371
= ( ^ [SX0: a] :
~ ( ~ ( sK4_SY374 @ SX0 )
| ~ ( cZ @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(549,plain,
! [SV753: a] :
( ( ( sK3_SY371 @ SV753 )
= ( ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(550,plain,
! [SV753: a] :
( ( ~ ( ( sK3_SY371 @ SV753 )
| ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
| ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(551,plain,
! [SV753: a] :
( ( ( sK3_SY371 @ SV753 )
= ( ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(552,plain,
! [SV753: a] :
( ( ( ~ ( ( sK3_SY371 @ SV753 )
| ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(553,plain,
! [SV753: a] :
( ( ( ( sK3_SY371 @ SV753 )
| ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(554,plain,
! [SV753: a] :
( ( ( sK3_SY371 @ SV753 )
= $false )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(555,plain,
! [SV753: a] :
( ( ( ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(556,plain,
! [SV753: a] :
( ( ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $false )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(557,plain,
! [SV753: a] :
( ( ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(558,plain,
! [SV753: a] :
( ( ( ~ ( sK3_SY371 @ SV753 ) )
= $false )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(559,plain,
! [SV753: a] :
( ( ( ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $false )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(560,plain,
! [SV753: a] :
( ( ( ~ ( sK4_SY374 @ SV753 ) )
= $true )
| ( ( ~ ( cZ @ SV753 ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(561,plain,
! [SV753: a] :
( ( ( sK3_SY371 @ SV753 )
= $true )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(562,plain,
! [SV753: a] :
( ( ( ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $true )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(563,plain,
! [SV753: a] :
( ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( ~ ( cZ @ SV753 ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(564,plain,
! [SV753: a] :
( ( ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) )
= $false )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(565,plain,
! [SV753: a] :
( ( ( cZ @ SV753 )
= $false )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( ~ ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(566,plain,
! [SV753: a] :
( ( ( ~ ( sK4_SY374 @ SV753 ) )
= $false )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(567,plain,
! [SV753: a] :
( ( ( ~ ( cZ @ SV753 ) )
= $false )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(568,plain,
! [SV753: a] :
( ( ( ~ ( sK3_SY371 @ SV753 )
| ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $false )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(569,plain,
! [SV753: a] :
( ( ( sK4_SY374 @ SV753 )
= $true )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(570,plain,
! [SV753: a] :
( ( ( cZ @ SV753 )
= $true )
| ( ( sK3_SY371 @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(571,plain,
! [SV753: a] :
( ( ( ~ ( sK3_SY371 @ SV753 ) )
= $false )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(572,plain,
! [SV753: a] :
( ( ( ~ ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $false )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(573,plain,
! [SV753: a] :
( ( ( sK3_SY371 @ SV753 )
= $true )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(574,plain,
! [SV753: a] :
( ( ( ~ ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) ) )
= $true )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(575,plain,
! [SV753: a] :
( ( ( ~ ( sK4_SY374 @ SV753 )
| ~ ( cZ @ SV753 ) )
= $false )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(576,plain,
! [SV753: a] :
( ( ( ~ ( sK4_SY374 @ SV753 ) )
= $false )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(577,plain,
! [SV753: a] :
( ( ( ~ ( cZ @ SV753 ) )
= $false )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(578,plain,
! [SV753: a] :
( ( ( sK4_SY374 @ SV753 )
= $true )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(579,plain,
! [SV753: a] :
( ( ( cZ @ SV753 )
= $true )
| ( ( sK4_SY374 @ SV753 )
= $false )
| ( ( cZ @ SV753 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(580,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[537,579,578,573,570,569,561,551,548,546,545]) ).
thf(581,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[580,523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV221^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 11:48:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)....................
% 233.74/233.98 (rf:0,axioms:0,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:3,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)(rf:0,axioms:0,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..............
% 281.37/281.65
% 281.37/281.65 ********************************
% 281.37/281.65 * All subproblems solved! *
% 281.37/281.65 ********************************
% 281.37/281.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:23,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:580,loop_count:0,foatp_calls:1,translation:fof_full)
% 281.53/281.73
% 281.53/281.73 %**** Beginning of derivation protocol ****
% 281.53/281.73 % SZS output start CNFRefutation
% See solution above
% 281.53/281.74
% 281.53/281.74 %**** End of derivation protocol ****
% 281.53/281.74 %**** no. of clauses in derivation: 447 ****
% 281.53/281.74 %**** clause counter: 580 ****
% 281.53/281.74
% 281.53/281.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:23,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:580,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------