TSTP Solution File: SEV179^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV179^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.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 17:35:31 EDT 2022
% Result : Theorem 37.41s 37.63s
% Output : CNFRefutation 37.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 53
% Syntax : Number of formulae : 612 ( 32 unt; 51 typ; 1 def)
% Number of atoms : 8274 (5617 equ; 0 cnn)
% Maximal formula atoms : 6 ( 14 avg)
% Number of connectives : 28212 (7535 ~;2053 |; 9 &;18615 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1618 (1618 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 51 usr; 4 con; 0-3 aty)
% Number of variables : 7993 (7055 ^ 929 !; 9 ?;7993 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cD_FOR_X5309,type,
cD_FOR_X5309: ( ( $i > $o ) > $i ) > $i > $o ).
thf(tp_sK10_E,type,
sK10_E: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK11_E,type,
sK11_E: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK12_E,type,
sK12_E: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK13_E,type,
sK13_E: ( $i > $i ) > $i ).
thf(tp_sK14_E,type,
sK14_E: ( $i > $i > $o ) > $i ).
thf(tp_sK15_E,type,
sK15_E: ( $i > $i > $o ) > $i ).
thf(tp_sK16_E,type,
sK16_E: ( $i > $i > $o ) > $i ).
thf(tp_sK17_E,type,
sK17_E: ( $i > $i > $o ) > $i ).
thf(tp_sK18_E,type,
sK18_E: ( $i > $i > $o ) > $i ).
thf(tp_sK19_E,type,
sK19_E: ( $i > $i ) > ( $i > $i > $o ) > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: ( $i > $o ) > $i ).
thf(tp_sK20_E,type,
sK20_E: ( $i > $i ) > ( $i > $i > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK21_E,type,
sK21_E: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK22_E,type,
sK22_E: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK23_E,type,
sK23_E: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).
thf(tp_sK24_SX0,type,
sK24_SX0: $i > $o ).
thf(tp_sK25_SX0,type,
sK25_SX0: $i > $o ).
thf(tp_sK26_SX0,type,
sK26_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK27_SX0,type,
sK27_SX0: $i > $o ).
thf(tp_sK28_SX0,type,
sK28_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK29_SX0,type,
sK29_SX0: $i > $o ).
thf(tp_sK2_E,type,
sK2_E: ( $i > $i ) > $i ).
thf(tp_sK30_SX0,type,
sK30_SX0: $i > $o ).
thf(tp_sK31_SX0,type,
sK31_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK32_SX0,type,
sK32_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK33_SX0,type,
sK33_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK34_SX0,type,
sK34_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK35_SX0,type,
sK35_SX0: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $o ).
thf(tp_sK36_SX0,type,
sK36_SX0: $i > $o ).
thf(tp_sK37_SX0,type,
sK37_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK38_SX0,type,
sK38_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK39_SX0,type,
sK39_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK3_E,type,
sK3_E: ( $i > $i > $o ) > $i ).
thf(tp_sK40_SX0,type,
sK40_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK41_SX0,type,
sK41_SX0: ( $i > $i > $o ) > ( $i > $i > $o ) > $i > $o ).
thf(tp_sK42_SX0,type,
sK42_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK43_SX0,type,
sK43_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK44_SX0,type,
sK44_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK45_SX0,type,
sK45_SX0: ( $i > $i > $o ) > $i > $o ).
thf(tp_sK46_SX0,type,
sK46_SX0: $i > $o ).
thf(tp_sK47_SX0,type,
sK47_SX0: $i > $o ).
thf(tp_sK48_E,type,
sK48_E: $i ).
thf(tp_sK49_E,type,
sK49_E: $i ).
thf(tp_sK4_E,type,
sK4_E: ( $i > $i > $o ) > $i ).
thf(tp_sK50_E,type,
sK50_E: ( $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( $i > $i > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: ( $i > $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: ( $i > $i ) > ( $i > $i > $o ) > $i ).
thf(tp_sK9_E,type,
sK9_E: ( $i > $i ) > ( $i > $i > ( $i > $o ) > $o ) > $i > $o ).
thf(cD_FOR_X5309,definition,
( cD_FOR_X5309
= ( ^ [Xh: ( $i > $o ) > $i,Xz: $i] :
? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( Xz
= ( Xh @ Xt ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cD_FOR_X5309) ).
thf(1,conjecture,
! [Xh: ( $i > $o ) > $i] : ( cD_FOR_X5309 @ Xh @ ( Xh @ ( cD_FOR_X5309 @ Xh ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM144C_pme) ).
thf(2,negated_conjecture,
( ( ! [Xh: ( $i > $o ) > $i] : ( cD_FOR_X5309 @ Xh @ ( Xh @ ( cD_FOR_X5309 @ Xh ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: ( $i > $o ) > $i] :
? [SY5: $i > $o] :
( ~ ( SY5 @ ( SY0 @ SY5 ) )
& ( ( SY0
@ ^ [SY3: $i] :
? [SY4: $i > $o] :
( ~ ( SY4 @ ( SY0 @ SY4 ) )
& ( SY3
= ( SY0 @ SY4 ) ) ) )
= ( SY0 @ SY5 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cD_FOR_X5309]) ).
thf(4,plain,
( ( ? [SY10: $i > $o] :
( ~ ( SY10 @ ( sK1_SY0 @ SY10 ) )
& ( ( sK1_SY0
@ ^ [SY11: $i] :
? [SY12: $i > $o] :
( ~ ( SY12 @ ( sK1_SY0 @ SY12 ) )
& ( SY11
= ( sK1_SY0 @ SY12 ) ) ) )
= ( sK1_SY0 @ SY10 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY10: $i > $o] :
( ~ ( SY10 @ ( sK1_SY0 @ SY10 ) )
& ( ( sK1_SY0
@ ^ [SY11: $i] :
? [SY12: $i > $o] :
( ~ ( SY12 @ ( sK1_SY0 @ SY12 ) )
& ( SY11
= ( sK1_SY0 @ SY12 ) ) ) )
= ( sK1_SY0 @ SY10 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY10: $i > $o] :
( ( SY10 @ ( sK1_SY0 @ SY10 ) )
| ( ( sK1_SY0
@ ^ [SY11: $i] :
? [SY12: $i > $o] :
( ~ ( SY12 @ ( sK1_SY0 @ SY12 ) )
& ( SY11
= ( sK1_SY0 @ SY12 ) ) ) )
!= ( sK1_SY0 @ SY10 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY10: $i > $o] :
( ( SY10 @ ( sK1_SY0 @ SY10 ) )
| ( ( sK1_SY0
@ ^ [SY11: $i] :
? [SY12: $i > $o] :
( ~ ( SY12 @ ( sK1_SY0 @ SY12 ) )
& ( SY11
= ( sK1_SY0 @ SY12 ) ) ) )
!= ( sK1_SY0 @ SY10 ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: $i > $o] :
( ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,cD_FOR_X5309]) ).
thf(9,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[11:[bind(SV1,$thf( ^ [SV4: $i] : $false ))]]) ).
thf(14,plain,
! [SV3: $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV3
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[11:[bind(SV1,$thf( ^ [SV2: $i] : ~ ( SV3 @ SV2 ) ))]]) ).
thf(15,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true )
| ( ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[11]) ).
thf(16,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) )
| ~ ( ~ ( SV1 @ ( sK1_SY0 @ SV1 ) )
| ~ ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: $i > $o] :
( ( ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i > $o] :
( ( ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY0 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(28,plain,
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[24:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( sK1_SY0 @ SX1 ) ) ) ) ) ))]]) ).
thf(29,plain,
! [SV90: $i > $i > $o,SV112: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV112 @ SX0 ) ) != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV90 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(30,plain,
! [SV90: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV90 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(31,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV120 @ SX0 ) ) != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV90 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(32,plain,
! [SV90: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV90 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(33,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ~ ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV133 @ SX0 @ SX1 ) ) != ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ))]]) ).
thf(34,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ~ ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV133 @ SX0 @ SX1 ) ) != ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ))]]) ).
thf(35,plain,
! [SV15: $i > $i > $o,SV128: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV128
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV128
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV128 @ SX0 ) ) != ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ))]]) ).
thf(36,plain,
! [SV15: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ))]]) ).
thf(37,plain,
! [SV23: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV23 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(38,plain,
! [SV23: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV23 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(39,plain,
! [SV18: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV18 @ SX0 ) ) != SX0 ) ))]]) ).
thf(41,plain,
! [SV37: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV37 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(42,plain,
! [SV37: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV37 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(43,plain,
! [SV32: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV32 @ SX0 ) ) != SX0 ) ))]]) ).
thf(44,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) ) )
= $true )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != SX0 ) ))]]) ).
thf(45,plain,
! [SV51: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV51 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(46,plain,
! [SV51: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV51 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(47,plain,
! [SV46: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
!= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV46 @ SX0 ) ) != SX0 ) ))]]) ).
thf(48,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
!= ( sK2_E
@ ^ [SX0: $i] : SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != SX0 ) ))]]) ).
thf(49,plain,
! [SV65: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV65 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(50,plain,
! [SV65: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV65 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(51,plain,
! [SV60: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
!= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV60 @ SX0 ) ) != SX0 ) ))]]) ).
thf(53,plain,
! [SV79: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV79 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(54,plain,
! [SV79: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV79 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(55,plain,
! [SV74: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV74
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV74
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV74 @ SX0 ) ) != SX0 ) ))]]) ).
thf(56,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != SX0 ) ))]]) ).
thf(57,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV217 @ SX0 @ SX1 ) ) != ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ))]]) ).
thf(58,plain,
! [SV217: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV217 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(59,plain,
! [SV247: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV217 @ SX0 @ SX1 ) ) != ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ))]]) ).
thf(60,plain,
! [SV217: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV217 @ SX0 @ SX1 ) ) != SX0 ) ))]]) ).
thf(61,plain,
! [SV260: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV142 @ SX0 ) ) != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV260 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(62,plain,
! [SV260: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV142 @ SX0 ) ) != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV260 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(63,plain,
! [SV255: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) )
!= ( sK1_SY0
@ ( SV255
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV255
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV142 @ SX0 ) ) != ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ))]]) ).
thf(64,plain,
! [SV142: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= SX0 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( sK1_SY0 @ ( SV142 @ SX0 ) ) != SX0 ) ))]]) ).
thf(65,plain,
! [SV150: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV150 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(66,plain,
! [SV150: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV150 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(67,plain,
! [SV145: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
!= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ))]]) ).
thf(69,plain,
! [SV164: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV164 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(70,plain,
! [SV164: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV164 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(71,plain,
! [SV159: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
!= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV159 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ))]]) ).
thf(72,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != SX0 ) ))]]) ).
thf(73,plain,
! [SV178: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV178 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(74,plain,
! [SV178: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV178 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(75,plain,
! [SV173: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
!= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
!= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ))]]) ).
thf(76,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
!= ( sK13_E
@ ^ [SX0: $i] : SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != SX0 ) ))]]) ).
thf(77,plain,
! [SV192: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV192 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(78,plain,
! [SV192: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV192 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(79,plain,
! [SV187: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
!= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
!= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ))]]) ).
thf(81,plain,
! [SV206: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV206 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(82,plain,
! [SV206: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ^ [SX1: $i] : ~ ( SV206 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(83,plain,
! [SV201: $i > $i > $o] :
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) )
!= ( sK1_SY0
@ ( SV201
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV201
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) ))]]) ).
thf(84,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( SX0 != SX0 ) ))]]) ).
thf(86,plain,
! [SV12: $i > $i,SV11: $i > $i] :
( ( ( ( ( SV11
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
!= ( SV12
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV11
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
= ( SV12
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ( ( SV11 @ SX0 ) != ( SV12 @ SX0 ) ) ))]]) ).
thf(87,plain,
! [SV8: $i > $o] :
( ( ( ~ ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[17:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(89,plain,
( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ),
inference(extuni,[status(esa)],[11:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( sK1_SY0 @ SX1 ) ) ) ) ) ))]]) ).
thf(90,plain,
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(92,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV12: $i > $i,SV11: $i > $i] :
( ( ( ( SV11
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
= ( SV12
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) ) )
= $false )
| ( ( ( SV11
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
= ( SV12
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(95,plain,
( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(96,plain,
! [SV201: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV201
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV201
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV201 @ SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV206: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(98,plain,
! [SV206: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(100,plain,
! [SV187: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
!= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV192: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(102,plain,
! [SV192: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(103,plain,
( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
!= ( sK13_E
@ ^ [SX0: $i] : SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(104,plain,
! [SV173: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
!= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(105,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(106,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(107,plain,
( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(108,plain,
! [SV159: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV159 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(109,plain,
! [SV164: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(110,plain,
! [SV164: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(112,plain,
! [SV145: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(113,plain,
! [SV150: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(114,plain,
! [SV150: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(115,plain,
! [SV142: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(116,plain,
! [SV255: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ( SV255
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV255
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0 @ ( SV255 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(117,plain,
! [SV260: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(118,plain,
! [SV260: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(119,plain,
! [SV217: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(120,plain,
! [SV247: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(121,plain,
! [SV217: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(122,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(123,plain,
( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(124,plain,
! [SV74: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV74
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV74
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(125,plain,
! [SV79: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(126,plain,
! [SV79: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(128,plain,
! [SV60: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
!= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(129,plain,
! [SV65: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(130,plain,
! [SV65: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(131,plain,
( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
!= ( sK2_E
@ ^ [SX0: $i] : SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(132,plain,
! [SV46: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
!= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(133,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(134,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(135,plain,
( ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(136,plain,
! [SV32: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(137,plain,
! [SV37: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(138,plain,
! [SV37: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(140,plain,
! [SV18: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(141,plain,
! [SV23: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(142,plain,
! [SV23: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(143,plain,
! [SV15: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(144,plain,
! [SV15: $i > $i > $o,SV128: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV128
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV128
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV128 @ SX0 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(145,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(146,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(147,plain,
! [SV90: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(148,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(149,plain,
! [SV90: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(150,plain,
! [SV90: $i > $i > $o,SV112: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(151,plain,
( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(152,plain,
( ( ( ~ ~ ( ~ ~ ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK24_SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(154,plain,
! [SV8: $i > $o] :
( ( ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(155,plain,
! [SV206: $i > $i > $o] :
( ( ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(156,plain,
! [SV206: $i > $i > $o] :
( ( ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(158,plain,
! [SV187: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(159,plain,
! [SV192: $i > $i > $o] :
( ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(160,plain,
! [SV192: $i > $i > $o] :
( ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(161,plain,
( ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(162,plain,
! [SV173: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(163,plain,
! [SV178: $i > $i > $o] :
( ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(164,plain,
! [SV178: $i > $i > $o] :
( ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(165,plain,
( ( ( ~ ~ ( ~ ~ ( sK25_SX0 @ ( sK1_SY0 @ sK25_SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK25_SX0 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(166,plain,
! [SV159: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK26_SX0 @ SV159 @ ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV159 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(167,plain,
! [SV164: $i > $i > $o] :
( ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(168,plain,
! [SV164: $i > $i > $o] :
( ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(170,plain,
! [SV145: $i > $i > $o,SV268: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV268 @ ( sK1_SY0 @ SV268 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SV268 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(171,plain,
! [SV150: $i > $i > $o] :
( ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(172,plain,
! [SV150: $i > $i > $o] :
( ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(173,plain,
! [SV142: $i > $i > $o,SV260: $i > $i > $o] :
( ( ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(174,plain,
! [SV142: $i > $i > $o,SV260: $i > $i > $o] :
( ( ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(175,plain,
! [SV217: $i > $i > $o] :
( ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(176,plain,
! [SV247: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(177,plain,
! [SV217: $i > $i > $o] :
( ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(178,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(179,plain,
! [SV79: $i > $i > $o] :
( ( ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(180,plain,
! [SV79: $i > $i > $o] :
( ( ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(182,plain,
! [SV60: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(183,plain,
! [SV65: $i > $i > $o] :
( ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(184,plain,
! [SV65: $i > $i > $o] :
( ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(185,plain,
( ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(186,plain,
! [SV46: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(187,plain,
! [SV51: $i > $i > $o] :
( ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(188,plain,
! [SV51: $i > $i > $o] :
( ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(189,plain,
( ( ( ~ ~ ( ~ ~ ( sK27_SX0 @ ( sK1_SY0 @ sK27_SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK27_SX0 ) ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(190,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK28_SX0 @ SV32 @ ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(191,plain,
! [SV37: $i > $i > $o] :
( ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(192,plain,
! [SV37: $i > $i > $o] :
( ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(194,plain,
! [SV18: $i > $i > $o,SV270: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV270 @ ( sK1_SY0 @ SV270 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SV270 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(195,plain,
! [SV23: $i > $i > $o] :
( ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(196,plain,
! [SV23: $i > $i > $o] :
( ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(197,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(198,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
!= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(199,plain,
! [SV90: $i > $i > $o] :
( ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(200,plain,
! [SV120: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(201,plain,
! [SV90: $i > $i > $o] :
( ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(202,plain,
! [SV112: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(203,plain,
( ( ~ ~ ( ~ ~ ( sK29_SX0 @ ( sK1_SY0 @ sK29_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK29_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(204,plain,
( ( ( ~ ( ~ ~ ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK24_SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(206,plain,
! [SV8: $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(207,plain,
! [SV206: $i > $i > $o] :
( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(208,plain,
! [SV206: $i > $i > $o] :
( ( ( ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK18_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV206
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV206 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV206
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
@ ( sK18_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV206 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(210,plain,
! [SV187: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(211,plain,
! [SV192: $i > $i > $o] :
( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(212,plain,
! [SV192: $i > $i > $o] :
( ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(213,plain,
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(214,plain,
! [SV173: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(215,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(216,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
!= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(217,plain,
( ( ( ~ ( ~ ~ ( sK25_SX0 @ ( sK1_SY0 @ sK25_SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK25_SX0 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(218,plain,
! [SV159: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK26_SX0 @ SV159 @ ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV159 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(219,plain,
! [SV164: $i > $i > $o] :
( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(220,plain,
! [SV164: $i > $i > $o] :
( ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(222,plain,
! [SV145: $i > $i > $o,SV268: $i > $o] :
( ( ( ~ ( ~ ~ ( SV268 @ ( sK1_SY0 @ SV268 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SV268 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(223,plain,
! [SV150: $i > $i > $o] :
( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(224,plain,
! [SV150: $i > $i > $o] :
( ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(225,plain,
! [SV260: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(226,plain,
! [SV260: $i > $i > $o,SV142: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV142
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK23_E @ SV142
@ ^ [SX1: $i,SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV260
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV142 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV260 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV260
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E @ SV142
@ ^ [SX0: $i,SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV142
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV142 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(227,plain,
! [SV217: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(228,plain,
! [SV217: $i > $i > $o,SV247: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(229,plain,
! [SV217: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(230,plain,
! [SV217: $i > $i > $o,SV239: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(231,plain,
! [SV79: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(232,plain,
! [SV79: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV79
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV79 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV79
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV79 @ SX0 @ SX1 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(234,plain,
! [SV60: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(235,plain,
! [SV65: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(236,plain,
! [SV65: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(237,plain,
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(238,plain,
! [SV46: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(239,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(240,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
!= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(241,plain,
( ( ( ~ ( ~ ~ ( sK27_SX0 @ ( sK1_SY0 @ sK27_SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK27_SX0 ) ) ) )
= $true )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(242,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK28_SX0 @ SV32 @ ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(243,plain,
! [SV37: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(244,plain,
! [SV37: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(246,plain,
! [SV18: $i > $i > $o,SV270: $i > $o] :
( ( ( ~ ( ~ ~ ( SV270 @ ( sK1_SY0 @ SV270 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SV270 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(247,plain,
! [SV23: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(248,plain,
! [SV23: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(249,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(250,plain,
! [SV15: $i > $i > $o,SV133: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK12_E @ SV15
@ ^ [SX1: $i,SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV133
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV133 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV15 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( SV133
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) )
@ ( sK12_E @ SV15
@ ^ [SX0: $i,SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV15
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV133 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV15 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(251,plain,
! [SV90: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(252,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(253,plain,
! [SV90: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(254,plain,
! [SV90: $i > $i > $o,SV112: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(255,plain,
( ( ~ ( ~ ~ ( sK29_SX0 @ ( sK1_SY0 @ sK29_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK29_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(256,plain,
( ( ( ~ ~ ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK24_SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(258,plain,
! [SV187: $i > $i > $o,SV272: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV272 @ ( sK1_SY0 @ SV272 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SV272 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(259,plain,
! [SV192: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(260,plain,
! [SV192: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(261,plain,
( ( ( ~ ~ ( ~ ~ ( sK30_SX0 @ ( sK1_SY0 @ sK30_SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK30_SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(262,plain,
! [SV173: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK31_SX0 @ SV173 @ ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(263,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(264,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(265,plain,
( ( ( ~ ~ ( sK25_SX0 @ ( sK1_SY0 @ sK25_SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK25_SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(266,plain,
! [SV159: $i > $i > $o] :
( ( ( ~ ~ ( sK26_SX0 @ SV159 @ ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV159 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(267,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK32_SX0 @ SV164 @ ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(268,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK33_SX0 @ SV164 @ ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(270,plain,
! [SV145: $i > $i > $o,SV268: $i > $o] :
( ( ( ~ ~ ( SV268 @ ( sK1_SY0 @ SV268 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SV268 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(271,plain,
! [SV150: $i > $i > $o,SV273: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV273 @ ( sK1_SY0 @ SV273 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV273 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(272,plain,
! [SV150: $i > $i > $o,SV274: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV274 @ ( sK1_SY0 @ SV274 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV274 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(273,plain,
! [SV217: $i > $i > $o,SV275: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV275 @ ( sK1_SY0 @ SV275 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV275 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(274,plain,
! [SV217: $i > $i > $o,SV247: $i > $i > $o,SV276: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV276 @ ( sK1_SY0 @ SV276 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV276 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(275,plain,
! [SV217: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK34_SX0 @ SV217 @ ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[229]) ).
thf(276,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK35_SX0 @ SV217 @ SV239 @ ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[230]) ).
thf(278,plain,
! [SV60: $i > $i > $o,SV278: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV278 @ ( sK1_SY0 @ SV278 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SV278 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(279,plain,
! [SV65: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(280,plain,
! [SV65: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(281,plain,
( ( ( ~ ~ ( ~ ~ ( sK36_SX0 @ ( sK1_SY0 @ sK36_SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK36_SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[237]) ).
thf(282,plain,
! [SV46: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK37_SX0 @ SV46 @ ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[238]) ).
thf(283,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(284,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(285,plain,
( ( ( ~ ~ ( sK27_SX0 @ ( sK1_SY0 @ sK27_SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK27_SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(286,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ~ ( sK28_SX0 @ SV32 @ ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(287,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK38_SX0 @ SV37 @ ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(288,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK39_SX0 @ SV37 @ ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[244]) ).
thf(290,plain,
! [SV18: $i > $i > $o,SV270: $i > $o] :
( ( ( ~ ~ ( SV270 @ ( sK1_SY0 @ SV270 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SV270 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(291,plain,
! [SV23: $i > $i > $o,SV279: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV279 @ ( sK1_SY0 @ SV279 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV279 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(292,plain,
! [SV23: $i > $i > $o,SV280: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV280 @ ( sK1_SY0 @ SV280 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV280 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(293,plain,
! [SV90: $i > $i > $o,SV281: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV281 @ ( sK1_SY0 @ SV281 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV281 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(294,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o,SV282: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV282 @ ( sK1_SY0 @ SV282 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV282 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(295,plain,
! [SV90: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK40_SX0 @ SV90 @ ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[253]) ).
thf(296,plain,
! [SV112: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK41_SX0 @ SV90 @ SV112 @ ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[254]) ).
thf(297,plain,
( ( ~ ~ ( sK29_SX0 @ ( sK1_SY0 @ sK29_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK29_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(298,plain,
( ( ( ~ ~ ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(299,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK24_SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(301,plain,
! [SV187: $i > $i > $o,SV272: $i > $o] :
( ( ( ~ ( ~ ~ ( SV272 @ ( sK1_SY0 @ SV272 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SV272 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(302,plain,
! [SV192: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(303,plain,
! [SV192: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(304,plain,
( ( ( ~ ( ~ ~ ( sK30_SX0 @ ( sK1_SY0 @ sK30_SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK30_SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(305,plain,
! [SV173: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK31_SX0 @ SV173 @ ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(306,plain,
! [SV178: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(307,plain,
! [SV178: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(308,plain,
( ( ( ~ ~ ( sK25_SX0 @ ( sK1_SY0 @ sK25_SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(309,plain,
( ( ( ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK25_SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(310,plain,
! [SV159: $i > $i > $o] :
( ( ( ~ ~ ( sK26_SX0 @ SV159 @ ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(311,plain,
! [SV159: $i > $i > $o] :
( ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV159 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(312,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK32_SX0 @ SV164 @ ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(313,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK33_SX0 @ SV164 @ ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(315,plain,
! [SV145: $i > $i > $o,SV268: $i > $o] :
( ( ( ~ ~ ( SV268 @ ( sK1_SY0 @ SV268 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SV268 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(316,plain,
! [SV150: $i > $i > $o,SV273: $i > $o] :
( ( ( ~ ( ~ ~ ( SV273 @ ( sK1_SY0 @ SV273 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV273 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(317,plain,
! [SV150: $i > $i > $o,SV274: $i > $o] :
( ( ( ~ ( ~ ~ ( SV274 @ ( sK1_SY0 @ SV274 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV274 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(318,plain,
! [SV217: $i > $i > $o,SV275: $i > $o] :
( ( ( ~ ( ~ ~ ( SV275 @ ( sK1_SY0 @ SV275 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV275 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(319,plain,
! [SV217: $i > $i > $o,SV247: $i > $i > $o,SV276: $i > $o] :
( ( ( ~ ( ~ ~ ( SV276 @ ( sK1_SY0 @ SV276 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV276 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(320,plain,
! [SV217: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK34_SX0 @ SV217 @ ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(321,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK35_SX0 @ SV217 @ SV239 @ ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(323,plain,
! [SV60: $i > $i > $o,SV278: $i > $o] :
( ( ( ~ ( ~ ~ ( SV278 @ ( sK1_SY0 @ SV278 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SV278 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(324,plain,
! [SV65: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(325,plain,
! [SV65: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(326,plain,
( ( ( ~ ( ~ ~ ( sK36_SX0 @ ( sK1_SY0 @ sK36_SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK36_SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(327,plain,
! [SV46: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK37_SX0 @ SV46 @ ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(328,plain,
! [SV51: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(329,plain,
! [SV51: $i > $i > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(330,plain,
( ( ( ~ ~ ( sK27_SX0 @ ( sK1_SY0 @ sK27_SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(331,plain,
( ( ( ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK27_SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(332,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ~ ( sK28_SX0 @ SV32 @ ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(333,plain,
! [SV32: $i > $i > $o] :
( ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(334,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK38_SX0 @ SV37 @ ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(335,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK39_SX0 @ SV37 @ ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(337,plain,
! [SV18: $i > $i > $o,SV270: $i > $o] :
( ( ( ~ ~ ( SV270 @ ( sK1_SY0 @ SV270 ) ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SV270 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(338,plain,
! [SV23: $i > $i > $o,SV279: $i > $o] :
( ( ( ~ ( ~ ~ ( SV279 @ ( sK1_SY0 @ SV279 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV279 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(339,plain,
! [SV23: $i > $i > $o,SV280: $i > $o] :
( ( ( ~ ( ~ ~ ( SV280 @ ( sK1_SY0 @ SV280 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV280 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(340,plain,
! [SV90: $i > $i > $o,SV281: $i > $o] :
( ( ( ~ ( ~ ~ ( SV281 @ ( sK1_SY0 @ SV281 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV281 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(341,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o,SV282: $i > $o] :
( ( ( ~ ( ~ ~ ( SV282 @ ( sK1_SY0 @ SV282 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV282 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(342,plain,
! [SV90: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK40_SX0 @ SV90 @ ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(343,plain,
! [SV112: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK41_SX0 @ SV90 @ SV112 @ ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(344,plain,
( ( ~ ~ ( sK29_SX0 @ ( sK1_SY0 @ sK29_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(345,plain,
( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK29_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(346,plain,
( ( ( ~ ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(347,plain,
( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(349,plain,
! [SV187: $i > $i > $o,SV272: $i > $o] :
( ( ( ~ ~ ( SV272 @ ( sK1_SY0 @ SV272 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SV272 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(350,plain,
! [SV192: $i > $i > $o,SV283: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV283 @ ( sK1_SY0 @ SV283 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV283 ) ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(351,plain,
! [SV192: $i > $i > $o,SV284: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV284 @ ( sK1_SY0 @ SV284 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV284 ) ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(352,plain,
( ( ( ~ ~ ( sK30_SX0 @ ( sK1_SY0 @ sK30_SX0 ) )
| ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK30_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(353,plain,
! [SV173: $i > $i > $o] :
( ( ( ~ ~ ( sK31_SX0 @ SV173 @ ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(354,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK42_SX0 @ SV178 @ ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(355,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK43_SX0 @ SV178 @ ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(356,plain,
( ( ( ~ ( sK25_SX0 @ ( sK1_SY0 @ sK25_SX0 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(357,plain,
( ( ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK25_SX0 ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(358,plain,
! [SV159: $i > $i > $o] :
( ( ( ~ ( sK26_SX0 @ SV159 @ ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(359,plain,
! [SV159: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV159 @ SX1 ) ) )
= ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(360,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ~ ( sK32_SX0 @ SV164 @ ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(361,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ~ ( sK33_SX0 @ SV164 @ ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(363,plain,
! [SV145: $i > $i > $o,SV268: $i > $o] :
( ( ( ~ ( SV268 @ ( sK1_SY0 @ SV268 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SV268 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(364,plain,
! [SV150: $i > $i > $o,SV273: $i > $o] :
( ( ( ~ ~ ( SV273 @ ( sK1_SY0 @ SV273 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV273 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(365,plain,
! [SV150: $i > $i > $o,SV274: $i > $o] :
( ( ( ~ ~ ( SV274 @ ( sK1_SY0 @ SV274 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV274 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(366,plain,
! [SV217: $i > $i > $o,SV275: $i > $o] :
( ( ( ~ ~ ( SV275 @ ( sK1_SY0 @ SV275 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV275 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(367,plain,
! [SV217: $i > $i > $o,SV247: $i > $i > $o,SV276: $i > $o] :
( ( ( ~ ~ ( SV276 @ ( sK1_SY0 @ SV276 ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV276 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(368,plain,
! [SV217: $i > $i > $o] :
( ( ( ~ ~ ( sK34_SX0 @ SV217 @ ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) )
| ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(369,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ~ ~ ( sK35_SX0 @ SV217 @ SV239 @ ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) )
| ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(371,plain,
! [SV60: $i > $i > $o,SV278: $i > $o] :
( ( ( ~ ~ ( SV278 @ ( sK1_SY0 @ SV278 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SV278 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(372,plain,
! [SV65: $i > $i > $o,SV285: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV285 @ ( sK1_SY0 @ SV285 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV285 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(373,plain,
! [SV65: $i > $i > $o,SV286: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV286 @ ( sK1_SY0 @ SV286 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV286 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(374,plain,
( ( ( ~ ~ ( sK36_SX0 @ ( sK1_SY0 @ sK36_SX0 ) )
| ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK36_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(375,plain,
! [SV46: $i > $i > $o] :
( ( ( ~ ~ ( sK37_SX0 @ SV46 @ ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(376,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK44_SX0 @ SV51 @ ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[328]) ).
thf(377,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK45_SX0 @ SV51 @ ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[329]) ).
thf(378,plain,
( ( ( ~ ( sK27_SX0 @ ( sK1_SY0 @ sK27_SX0 ) ) )
= $true )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(379,plain,
( ( ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK27_SX0 ) )
= $true )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(380,plain,
! [SV32: $i > $i > $o] :
( ( ( ~ ( sK28_SX0 @ SV32 @ ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(381,plain,
! [SV32: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
= ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(382,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ( sK38_SX0 @ SV37 @ ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(383,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ( sK39_SX0 @ SV37 @ ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(385,plain,
! [SV18: $i > $i > $o,SV270: $i > $o] :
( ( ( ~ ( SV270 @ ( sK1_SY0 @ SV270 ) ) )
= $false )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SV270 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(386,plain,
! [SV23: $i > $i > $o,SV279: $i > $o] :
( ( ( ~ ~ ( SV279 @ ( sK1_SY0 @ SV279 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV279 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(387,plain,
! [SV23: $i > $i > $o,SV280: $i > $o] :
( ( ( ~ ~ ( SV280 @ ( sK1_SY0 @ SV280 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV280 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(388,plain,
! [SV90: $i > $i > $o,SV281: $i > $o] :
( ( ( ~ ~ ( SV281 @ ( sK1_SY0 @ SV281 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV281 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(389,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o,SV282: $i > $o] :
( ( ( ~ ~ ( SV282 @ ( sK1_SY0 @ SV282 ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV282 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(390,plain,
! [SV90: $i > $i > $o] :
( ( ( ~ ~ ( sK40_SX0 @ SV90 @ ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) )
| ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(391,plain,
! [SV112: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( ~ ~ ( sK41_SX0 @ SV90 @ SV112 @ ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) )
| ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(392,plain,
( ( ~ ( sK29_SX0 @ ( sK1_SY0 @ sK29_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(393,plain,
( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK29_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(394,plain,
( ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(395,plain,
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(397,plain,
! [SV187: $i > $i > $o,SV272: $i > $o] :
( ( ( ~ ~ ( SV272 @ ( sK1_SY0 @ SV272 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SV272 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(398,plain,
! [SV192: $i > $i > $o,SV283: $i > $o] :
( ( ( ~ ( ~ ~ ( SV283 @ ( sK1_SY0 @ SV283 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV283 ) ) ) )
= $false )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(399,plain,
! [SV192: $i > $i > $o,SV284: $i > $o] :
( ( ( ~ ( ~ ~ ( SV284 @ ( sK1_SY0 @ SV284 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV284 ) ) ) )
= $false )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(400,plain,
( ( ( ~ ~ ( sK30_SX0 @ ( sK1_SY0 @ sK30_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(401,plain,
( ( ( ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK30_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(402,plain,
! [SV173: $i > $i > $o] :
( ( ( ~ ~ ( sK31_SX0 @ SV173 @ ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(403,plain,
! [SV173: $i > $i > $o] :
( ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(404,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK42_SX0 @ SV178 @ ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) ) ) )
= $true )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(405,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK43_SX0 @ SV178 @ ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) ) ) )
= $true )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(406,plain,
( ( ( sK25_SX0 @ ( sK1_SY0 @ sK25_SX0 ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(407,plain,
! [SV159: $i > $i > $o] :
( ( ( sK26_SX0 @ SV159 @ ( sK1_SY0 @ ( sK26_SX0 @ SV159 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV159
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV159 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(408,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ~ ( sK32_SX0 @ SV164 @ ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(409,plain,
! [SV164: $i > $i > $o] :
( ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(410,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ~ ( sK33_SX0 @ SV164 @ ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(411,plain,
! [SV164: $i > $i > $o] :
( ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(413,plain,
! [SV145: $i > $i > $o,SV268: $i > $o] :
( ( ( SV268 @ ( sK1_SY0 @ SV268 ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
!= ( sK1_SY0 @ SV268 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(414,plain,
! [SV150: $i > $i > $o,SV273: $i > $o] :
( ( ( ~ ~ ( SV273 @ ( sK1_SY0 @ SV273 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV273 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(415,plain,
! [SV150: $i > $i > $o,SV274: $i > $o] :
( ( ( ~ ~ ( SV274 @ ( sK1_SY0 @ SV274 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV274 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(416,plain,
! [SV217: $i > $i > $o,SV275: $i > $o] :
( ( ( ~ ~ ( SV275 @ ( sK1_SY0 @ SV275 ) ) )
= $true )
| ( ( ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV275 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(417,plain,
! [SV217: $i > $i > $o,SV247: $i > $i > $o,SV276: $i > $o] :
( ( ( ~ ~ ( SV276 @ ( sK1_SY0 @ SV276 ) ) )
= $true )
| ( ( ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV276 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(418,plain,
! [SV217: $i > $i > $o] :
( ( ( ~ ~ ( sK34_SX0 @ SV217 @ ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(419,plain,
! [SV217: $i > $i > $o] :
( ( ( ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[368]) ).
thf(420,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ~ ~ ( sK35_SX0 @ SV217 @ SV239 @ ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(421,plain,
! [SV217: $i > $i > $o,SV239: $i > $i > $o] :
( ( ( ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(423,plain,
! [SV60: $i > $i > $o,SV278: $i > $o] :
( ( ( ~ ~ ( SV278 @ ( sK1_SY0 @ SV278 ) ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SV278 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(424,plain,
! [SV65: $i > $i > $o,SV285: $i > $o] :
( ( ( ~ ( ~ ~ ( SV285 @ ( sK1_SY0 @ SV285 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV285 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(425,plain,
! [SV65: $i > $i > $o,SV286: $i > $o] :
( ( ( ~ ( ~ ~ ( SV286 @ ( sK1_SY0 @ SV286 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV286 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(426,plain,
( ( ( ~ ~ ( sK36_SX0 @ ( sK1_SY0 @ sK36_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(427,plain,
( ( ( ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
!= ( sK1_SY0 @ sK36_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[374]) ).
thf(428,plain,
! [SV46: $i > $i > $o] :
( ( ( ~ ~ ( sK37_SX0 @ SV46 @ ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(429,plain,
! [SV46: $i > $i > $o] :
( ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
!= ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(430,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK44_SX0 @ SV51 @ ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(431,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ( ~ ~ ( sK45_SX0 @ SV51 @ ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(432,plain,
( ( ( sK27_SX0 @ ( sK1_SY0 @ sK27_SX0 ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(433,plain,
! [SV32: $i > $i > $o] :
( ( ( sK28_SX0 @ SV32 @ ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(434,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ( sK38_SX0 @ SV37 @ ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(435,plain,
! [SV37: $i > $i > $o] :
( ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(436,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ~ ( sK39_SX0 @ SV37 @ ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(437,plain,
! [SV37: $i > $i > $o] :
( ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(439,plain,
! [SV18: $i > $i > $o,SV270: $i > $o] :
( ( ( SV270 @ ( sK1_SY0 @ SV270 ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
!= ( sK1_SY0 @ SV270 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(440,plain,
! [SV23: $i > $i > $o,SV279: $i > $o] :
( ( ( ~ ~ ( SV279 @ ( sK1_SY0 @ SV279 ) ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV279 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(441,plain,
! [SV23: $i > $i > $o,SV280: $i > $o] :
( ( ( ~ ~ ( SV280 @ ( sK1_SY0 @ SV280 ) ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV280 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(442,plain,
! [SV90: $i > $i > $o,SV281: $i > $o] :
( ( ( ~ ~ ( SV281 @ ( sK1_SY0 @ SV281 ) ) )
= $true )
| ( ( ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV281 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(443,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o,SV282: $i > $o] :
( ( ( ~ ~ ( SV282 @ ( sK1_SY0 @ SV282 ) ) )
= $true )
| ( ( ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV282 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(444,plain,
! [SV90: $i > $i > $o] :
( ( ( ~ ~ ( sK40_SX0 @ SV90 @ ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(445,plain,
! [SV90: $i > $i > $o] :
( ( ( ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(446,plain,
! [SV112: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( ~ ~ ( sK41_SX0 @ SV90 @ SV112 @ ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(447,plain,
! [SV90: $i > $i > $o,SV112: $i > $i > $o] :
( ( ( ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(448,plain,
( ( sK29_SX0 @ ( sK1_SY0 @ sK29_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(449,plain,
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_SY0 @ SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ SX0 ) ) ) )
= $false )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(450,plain,
( ( ( ~ ~ ( ~ ~ ( sK46_SX0 @ ( sK1_SY0 @ sK46_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK46_SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[395]) ).
thf(452,plain,
! [SV187: $i > $i > $o,SV272: $i > $o] :
( ( ( ~ ( SV272 @ ( sK1_SY0 @ SV272 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SV272 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(453,plain,
! [SV192: $i > $i > $o,SV283: $i > $o] :
( ( ( ~ ~ ( SV283 @ ( sK1_SY0 @ SV283 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV283 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(454,plain,
! [SV192: $i > $i > $o,SV284: $i > $o] :
( ( ( ~ ~ ( SV284 @ ( sK1_SY0 @ SV284 ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV284 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(455,plain,
( ( ( ~ ( sK30_SX0 @ ( sK1_SY0 @ sK30_SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(456,plain,
( ( ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK30_SX0 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(457,plain,
! [SV173: $i > $i > $o] :
( ( ( ~ ( sK31_SX0 @ SV173 @ ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(458,plain,
! [SV173: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV173 @ SX1 ) ) )
= ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(459,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ~ ( sK42_SX0 @ SV178 @ ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(460,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ~ ( sK43_SX0 @ SV178 @ ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) )
| ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(461,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ( sK32_SX0 @ SV164 @ ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(462,plain,
! [SV164: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(463,plain,
! [SV164: $i > $i > $o] :
( ( ( ~ ( sK33_SX0 @ SV164 @ ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(464,plain,
! [SV164: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(466,plain,
! [SV268: $i > $o,SV145: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV145 @ SX1 ) ) )
= ( sK1_SY0 @ SV268 ) )
= $false )
| ( ( SV268 @ ( sK1_SY0 @ SV268 ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV145
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV145 @ SX0 ) ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(467,plain,
! [SV150: $i > $i > $o,SV273: $i > $o] :
( ( ( ~ ( SV273 @ ( sK1_SY0 @ SV273 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV273 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(468,plain,
! [SV150: $i > $i > $o,SV274: $i > $o] :
( ( ( ~ ( SV274 @ ( sK1_SY0 @ SV274 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV274 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(469,plain,
! [SV217: $i > $i > $o,SV275: $i > $o] :
( ( ( ~ ( SV275 @ ( sK1_SY0 @ SV275 ) ) )
= $false )
| ( ( ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV275 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(470,plain,
! [SV217: $i > $i > $o,SV247: $i > $i > $o,SV276: $i > $o] :
( ( ( ~ ( SV276 @ ( sK1_SY0 @ SV276 ) ) )
= $false )
| ( ( ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV276 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(471,plain,
! [SV217: $i > $i > $o] :
( ( ( ~ ( sK34_SX0 @ SV217 @ ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(472,plain,
! [SV217: $i > $i > $o] :
( ( ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(473,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( ~ ( sK35_SX0 @ SV217 @ SV239 @ ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(474,plain,
! [SV217: $i > $i > $o,SV239: $i > $i > $o] :
( ( ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV239 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(476,plain,
! [SV60: $i > $i > $o,SV278: $i > $o] :
( ( ( ~ ( SV278 @ ( sK1_SY0 @ SV278 ) ) )
= $false )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SV278 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(477,plain,
! [SV65: $i > $i > $o,SV285: $i > $o] :
( ( ( ~ ~ ( SV285 @ ( sK1_SY0 @ SV285 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV285 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(478,plain,
! [SV65: $i > $i > $o,SV286: $i > $o] :
( ( ( ~ ~ ( SV286 @ ( sK1_SY0 @ SV286 ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV286 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(479,plain,
( ( ( ~ ( sK36_SX0 @ ( sK1_SY0 @ sK36_SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(480,plain,
( ( ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK36_SX0 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(481,plain,
! [SV46: $i > $i > $o] :
( ( ( ~ ( sK37_SX0 @ SV46 @ ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(482,plain,
! [SV46: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
= ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(483,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ~ ( sK44_SX0 @ SV51 @ ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(484,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ~ ( sK45_SX0 @ SV51 @ ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) )
| ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(485,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ( sK38_SX0 @ SV37 @ ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(486,plain,
! [SV37: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(487,plain,
! [SV37: $i > $i > $o] :
( ( ( ~ ( sK39_SX0 @ SV37 @ ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(488,plain,
! [SV37: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(490,plain,
! [SV270: $i > $o,SV18: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
= ( sK1_SY0 @ SV270 ) )
= $false )
| ( ( SV270 @ ( sK1_SY0 @ SV270 ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(491,plain,
! [SV23: $i > $i > $o,SV279: $i > $o] :
( ( ( ~ ( SV279 @ ( sK1_SY0 @ SV279 ) ) )
= $false )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV279 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(492,plain,
! [SV23: $i > $i > $o,SV280: $i > $o] :
( ( ( ~ ( SV280 @ ( sK1_SY0 @ SV280 ) ) )
= $false )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV280 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(493,plain,
! [SV90: $i > $i > $o,SV281: $i > $o] :
( ( ( ~ ( SV281 @ ( sK1_SY0 @ SV281 ) ) )
= $false )
| ( ( ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV281 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(494,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o,SV282: $i > $o] :
( ( ( ~ ( SV282 @ ( sK1_SY0 @ SV282 ) ) )
= $false )
| ( ( ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV282 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(495,plain,
! [SV90: $i > $i > $o] :
( ( ( ~ ( sK40_SX0 @ SV90 @ ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(496,plain,
! [SV90: $i > $i > $o] :
( ( ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(497,plain,
! [SV112: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( ~ ( sK41_SX0 @ SV90 @ SV112 @ ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(498,plain,
! [SV90: $i > $i > $o,SV112: $i > $i > $o] :
( ( ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV112 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(499,plain,
( ( ( ~ ~ ( ~ ~ ( sK47_SX0 @ ( sK1_SY0 @ sK47_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK47_SX0 ) ) ) )
= $false )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[449]) ).
thf(500,plain,
( ( ( ~ ( ~ ~ ( sK46_SX0 @ ( sK1_SY0 @ sK46_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK46_SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(502,plain,
! [SV187: $i > $i > $o,SV272: $i > $o] :
( ( ( SV272 @ ( sK1_SY0 @ SV272 ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
!= ( sK1_SY0 @ SV272 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(503,plain,
! [SV192: $i > $i > $o,SV283: $i > $o] :
( ( ( ~ ~ ( SV283 @ ( sK1_SY0 @ SV283 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV283 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(504,plain,
! [SV192: $i > $i > $o,SV284: $i > $o] :
( ( ( ~ ~ ( SV284 @ ( sK1_SY0 @ SV284 ) ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV284 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(505,plain,
( ( ( sK30_SX0 @ ( sK1_SY0 @ sK30_SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : SX0 )
= ( sK13_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(506,plain,
! [SV173: $i > $i > $o] :
( ( ( sK31_SX0 @ SV173 @ ( sK1_SY0 @ ( sK31_SX0 @ SV173 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV173
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV173
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV173 @ SX0 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(507,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ~ ( sK42_SX0 @ SV178 @ ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(508,plain,
! [SV178: $i > $i > $o] :
( ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(509,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ~ ( sK43_SX0 @ SV178 @ ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(510,plain,
! [SV178: $i > $i > $o] :
( ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(511,plain,
! [SV164: $i > $i > $o] :
( ( ( sK32_SX0 @ SV164 @ ( sK1_SY0 @ ( sK32_SX0 @ SV164 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(512,plain,
! [SV164: $i > $i > $o] :
( ( ( sK33_SX0 @ SV164 @ ( sK1_SY0 @ ( sK33_SX0 @ SV164 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV164
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK15_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV164 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV164
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV164 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(513,plain,
! [SV150: $i > $i > $o,SV273: $i > $o] :
( ( ( SV273 @ ( sK1_SY0 @ SV273 ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV273 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(514,plain,
! [SV150: $i > $i > $o,SV274: $i > $o] :
( ( ( SV274 @ ( sK1_SY0 @ SV274 ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV274 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(515,plain,
! [SV217: $i > $i > $o,SV275: $i > $o] :
( ( ( SV275 @ ( sK1_SY0 @ SV275 ) )
= $true )
| ( ( ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV275 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(516,plain,
! [SV217: $i > $i > $o,SV247: $i > $i > $o,SV276: $i > $o] :
( ( ( SV276 @ ( sK1_SY0 @ SV276 ) )
= $true )
| ( ( ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV276 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(517,plain,
! [SV217: $i > $i > $o] :
( ( ( sK34_SX0 @ SV217 @ ( sK1_SY0 @ ( sK34_SX0 @ SV217 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(518,plain,
! [SV239: $i > $i > $o,SV217: $i > $i > $o] :
( ( ( sK35_SX0 @ SV217 @ SV239 @ ( sK1_SY0 @ ( sK35_SX0 @ SV217 @ SV239 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV239 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV239
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV239 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV239 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(520,plain,
! [SV60: $i > $i > $o,SV278: $i > $o] :
( ( ( SV278 @ ( sK1_SY0 @ SV278 ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
!= ( sK1_SY0 @ SV278 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(521,plain,
! [SV65: $i > $i > $o,SV285: $i > $o] :
( ( ( ~ ~ ( SV285 @ ( sK1_SY0 @ SV285 ) ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV285 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(522,plain,
! [SV65: $i > $i > $o,SV286: $i > $o] :
( ( ( ~ ~ ( SV286 @ ( sK1_SY0 @ SV286 ) ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV286 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(523,plain,
( ( ( sK36_SX0 @ ( sK1_SY0 @ sK36_SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) ) )
= $false )
| ( ( ( sK2_E
@ ^ [SX0: $i] : SX0 )
= ( sK2_E
@ ^ [SX0: $i] : SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(524,plain,
! [SV46: $i > $i > $o] :
( ( ( sK37_SX0 @ SV46 @ ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(525,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ~ ( sK44_SX0 @ SV51 @ ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(526,plain,
! [SV51: $i > $i > $o] :
( ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(527,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ~ ( sK45_SX0 @ SV51 @ ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(528,plain,
! [SV51: $i > $i > $o] :
( ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(529,plain,
! [SV37: $i > $i > $o] :
( ( ( sK38_SX0 @ SV37 @ ( sK1_SY0 @ ( sK38_SX0 @ SV37 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(530,plain,
! [SV37: $i > $i > $o] :
( ( ( sK39_SX0 @ SV37 @ ( sK1_SY0 @ ( sK39_SX0 @ SV37 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV37
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV37
@ ( sK4_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV37 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK4_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV37 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(531,plain,
! [SV23: $i > $i > $o,SV279: $i > $o] :
( ( ( SV279 @ ( sK1_SY0 @ SV279 ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV279 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(532,plain,
! [SV23: $i > $i > $o,SV280: $i > $o] :
( ( ( SV280 @ ( sK1_SY0 @ SV280 ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV280 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(533,plain,
! [SV90: $i > $i > $o,SV281: $i > $o] :
( ( ( SV281 @ ( sK1_SY0 @ SV281 ) )
= $true )
| ( ( ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV281 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(534,plain,
! [SV90: $i > $i > $o,SV120: $i > $i > $o,SV282: $i > $o] :
( ( ( SV282 @ ( sK1_SY0 @ SV282 ) )
= $true )
| ( ( ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ SV282 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(535,plain,
! [SV90: $i > $i > $o] :
( ( ( sK40_SX0 @ SV90 @ ( sK1_SY0 @ ( sK40_SX0 @ SV90 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(536,plain,
! [SV112: $i > $i > $o,SV90: $i > $i > $o] :
( ( ( sK41_SX0 @ SV90 @ SV112 @ ( sK1_SY0 @ ( sK41_SX0 @ SV90 @ SV112 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV112 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV112
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV112 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV112 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(537,plain,
( ( ( ~ ( ~ ~ ( sK47_SX0 @ ( sK1_SY0 @ sK47_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK47_SX0 ) ) ) )
= $true )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(538,plain,
( ( ( ~ ~ ( sK46_SX0 @ ( sK1_SY0 @ sK46_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK46_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(540,plain,
! [SV272: $i > $o,SV187: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV187 @ SX1 ) ) )
= ( sK1_SY0 @ SV272 ) )
= $false )
| ( ( SV272 @ ( sK1_SY0 @ SV272 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV187
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) )
= ( sK1_SY0
@ ( SV187
@ ( sK13_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV187 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(541,plain,
! [SV192: $i > $i > $o,SV283: $i > $o] :
( ( ( ~ ( SV283 @ ( sK1_SY0 @ SV283 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV283 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(542,plain,
! [SV192: $i > $i > $o,SV284: $i > $o] :
( ( ( ~ ( SV284 @ ( sK1_SY0 @ SV284 ) ) )
= $false )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV284 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(543,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ( sK42_SX0 @ SV178 @ ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) ) )
= $true )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(544,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) )
= $true )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(545,plain,
! [SV178: $i > $i > $o] :
( ( ( ~ ( sK43_SX0 @ SV178 @ ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) ) )
= $true )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(546,plain,
! [SV178: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) )
= $true )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(547,plain,
! [SV273: $i > $o,SV150: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV273 ) )
= $false )
| ( ( SV273 @ ( sK1_SY0 @ SV273 ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(548,plain,
! [SV274: $i > $o,SV150: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV274 ) )
= $false )
| ( ( SV274 @ ( sK1_SY0 @ SV274 ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( SV150
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
@ ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK14_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV150 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV150
@ ( sK14_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV150 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(549,plain,
! [SV275: $i > $o,SV217: $i > $i > $o] :
( ( ( ( sK19_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ SV275 ) )
= $false )
| ( ( SV275 @ ( sK1_SY0 @ SV275 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK19_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(550,plain,
! [SV276: $i > $o,SV217: $i > $i > $o,SV247: $i > $i > $o] :
( ( ( ( sK19_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV247 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ SV276 ) )
= $false )
| ( ( SV276 @ ( sK1_SY0 @ SV276 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV217
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV217 @ SX1 @ SX2 ) )
!= ( sK1_SY0 @ ( SV247 @ SX1 ) ) ) )
@ SX0 ) )
= ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV247
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) ) )
= $false )
| ( ( SV217
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) )
!= ( sK1_SY0 @ ( SV247 @ SX0 ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV247 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV217 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(552,plain,
! [SV278: $i > $o,SV60: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
= ( sK1_SY0 @ SV278 ) )
= $false )
| ( ( SV278 @ ( sK1_SY0 @ SV278 ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(553,plain,
! [SV65: $i > $i > $o,SV285: $i > $o] :
( ( ( ~ ( SV285 @ ( sK1_SY0 @ SV285 ) ) )
= $false )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV285 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(554,plain,
! [SV65: $i > $i > $o,SV286: $i > $o] :
( ( ( ~ ( SV286 @ ( sK1_SY0 @ SV286 ) ) )
= $false )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV286 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(555,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ( sK44_SX0 @ SV51 @ ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(556,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(557,plain,
! [SV51: $i > $i > $o] :
( ( ( ~ ( sK45_SX0 @ SV51 @ ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(558,plain,
! [SV51: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(559,plain,
! [SV279: $i > $o,SV23: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV279 ) )
= $false )
| ( ( SV279 @ ( sK1_SY0 @ SV279 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(560,plain,
! [SV280: $i > $o,SV23: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV280 ) )
= $false )
| ( ( SV280 @ ( sK1_SY0 @ SV280 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV23
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV23
@ ( sK3_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV23 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK3_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV23 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(561,plain,
! [SV281: $i > $o,SV90: $i > $i > $o] :
( ( ( ( sK8_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ SV281 ) )
= $false )
| ( ( SV281 @ ( sK1_SY0 @ SV281 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(562,plain,
! [SV282: $i > $o,SV90: $i > $i > $o,SV120: $i > $i > $o] :
( ( ( ( sK8_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV120 @ SX1 ) )
@ ^ [SX1: $i,SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) )
= ( sK1_SY0 @ SV282 ) )
= $false )
| ( ( SV282 @ ( sK1_SY0 @ SV282 ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV90
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0 @ ( SV120 @ SX1 ) )
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV90 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV120
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV90
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV120 @ SX0 ) )
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV120 @ SX0 ) )
@ ^ [SX0: $i,SX1: $i] :
~ ( SV90 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(563,plain,
( ( ( ~ ~ ( sK47_SX0 @ ( sK1_SY0 @ sK47_SX0 ) )
| ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK47_SX0 ) ) )
= $false )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(564,plain,
( ( ( ~ ~ ( sK46_SX0 @ ( sK1_SY0 @ sK46_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(565,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK46_SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(566,plain,
! [SV192: $i > $i > $o,SV283: $i > $o] :
( ( ( SV283 @ ( sK1_SY0 @ SV283 ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV283 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(567,plain,
! [SV192: $i > $i > $o,SV284: $i > $o] :
( ( ( SV284 @ ( sK1_SY0 @ SV284 ) )
= $true )
| ( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV284 ) ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(568,plain,
! [SV178: $i > $i > $o] :
( ( ( sK42_SX0 @ SV178 @ ( sK1_SY0 @ ( sK42_SX0 @ SV178 ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(569,plain,
! [SV178: $i > $i > $o] :
( ( ( sK43_SX0 @ SV178 @ ( sK1_SY0 @ ( sK43_SX0 @ SV178 ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK16_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV178
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) ) )
@ ( sK16_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV178 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV178
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV178 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(570,plain,
! [SV65: $i > $i > $o,SV285: $i > $o] :
( ( ( SV285 @ ( sK1_SY0 @ SV285 ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV285 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(571,plain,
! [SV65: $i > $i > $o,SV286: $i > $o] :
( ( ( SV286 @ ( sK1_SY0 @ SV286 ) )
= $true )
| ( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
!= ( sK1_SY0 @ SV286 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(572,plain,
! [SV51: $i > $i > $o] :
( ( ( sK44_SX0 @ SV51 @ ( sK1_SY0 @ ( sK44_SX0 @ SV51 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(573,plain,
! [SV51: $i > $i > $o] :
( ( ( sK45_SX0 @ SV51 @ ( sK1_SY0 @ ( sK45_SX0 @ SV51 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV51
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV51
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV51 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(574,plain,
( ( ( ~ ~ ( sK47_SX0 @ ( sK1_SY0 @ sK47_SX0 ) ) )
= $false )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(575,plain,
( ( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
!= ( sK1_SY0 @ sK47_SX0 ) ) )
= $false )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(576,plain,
( ( ( ~ ( sK46_SX0 @ ( sK1_SY0 @ sK46_SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(577,plain,
( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK46_SX0 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(578,plain,
! [SV283: $i > $o,SV192: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV283 ) )
= $false )
| ( ( SV283 @ ( sK1_SY0 @ SV283 ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(579,plain,
! [SV284: $i > $o,SV192: $i > $i > $o] :
( ( ( ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV284 ) )
= $false )
| ( ( SV284 @ ( sK1_SY0 @ SV284 ) )
= $true )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK1_SY0
@ ^ [SX1: $i] :
( SX1
!= ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( SV192
@ ( sK1_SY0
@ ^ [SX0: $i] :
( SX0
!= ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV192 @ SX0 @ SX1 ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV192
@ ( sK13_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV192 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(580,plain,
! [SV285: $i > $o,SV65: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV285 ) )
= $false )
| ( ( SV285 @ ( sK1_SY0 @ SV285 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(581,plain,
! [SV286: $i > $o,SV65: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
= ( sK1_SY0 @ SV286 ) )
= $false )
| ( ( SV286 @ ( sK1_SY0 @ SV286 ) )
= $true )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK1_SY0
@ ^ [SX1: $i] :
( ( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) )
!= SX1 ) )
@ SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) ) )
= $false )
| ( ( SV65
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) )
!= SX0 ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV65
@ ( sK2_E
@ ^ [SX1: $i] :
( sK1_SY0
@ ^ [SX2: $i] :
~ ( SV65 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= ( sK2_E
@ ^ [SX0: $i] :
( sK1_SY0
@ ^ [SX1: $i] :
~ ( SV65 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(582,plain,
( ( ( ~ ( sK47_SX0 @ ( sK1_SY0 @ sK47_SX0 ) ) )
= $true )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(583,plain,
( ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK47_SX0 ) )
= $true )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(584,plain,
( ( ( sK46_SX0 @ ( sK1_SY0 @ sK46_SX0 ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_SY0 @ SX2 ) )
| ( SX1
!= ( sK1_SY0 @ SX2 ) ) ) )
= ( sK1_SY0 @ sK24_SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(585,plain,
( ( ( sK47_SX0 @ ( sK1_SY0 @ sK47_SX0 ) )
= $false )
| ( ( sK24_SX0 @ ( sK1_SY0 @ sK24_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(586,plain,
! [SV3: $i > $o] :
( ( ( SV3
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(589,plain,
( ( $false = $true )
| ( ( ~ ! [SY235: $i > $o] :
~ ~ ( ~ ~ ( SY235 @ ( sK1_SY0 @ SY235 ) )
| ( sK49_E
!= ( sK1_SY0 @ SY235 ) ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(591,plain,
! [SV3: $i > $o] :
( ( ( ! [SY236: $i > $o] :
~ ~ ( ~ ~ ( SY236 @ ( sK1_SY0 @ SY236 ) )
| ( ( sK50_E @ SV3 )
!= ( sK1_SY0 @ SY236 ) ) ) )
= $true )
| ( ( SV3 @ ( sK50_E @ SV3 ) )
= $true )
| ( ( SV3
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[586]) ).
thf(592,plain,
! [SV3: $i > $o] :
( ( ( ! [SY236: $i > $o] :
~ ~ ( ~ ~ ( SY236 @ ( sK1_SY0 @ SY236 ) )
| ( ( sK50_E @ SV3 )
!= ( sK1_SY0 @ SY236 ) ) ) )
= $false )
| ( ( SV3 @ ( sK50_E @ SV3 ) )
= $false )
| ( ( SV3
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[586]) ).
thf(593,plain,
! [SV3: $i > $o] :
( ( ( ~ ! [SY236: $i > $o] :
~ ~ ( ~ ~ ( SY236 @ ( sK1_SY0 @ SY236 ) )
| ( ( sK50_E @ SV3 )
!= ( sK1_SY0 @ SY236 ) ) ) )
= $true )
| ( ( ~ ( SV3 @ ( sK50_E @ SV3 ) ) )
= $true )
| ( ( SV3
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[586]) ).
thf(594,plain,
! [SV3: $i > $o] :
( ( ( ~ ! [SY236: $i > $o] :
~ ~ ( ~ ~ ( SY236 @ ( sK1_SY0 @ SY236 ) )
| ( ( sK50_E @ SV3 )
!= ( sK1_SY0 @ SY236 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ ( sK50_E @ SV3 ) ) )
= $false )
| ( ( SV3
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[586]) ).
thf(595,plain,
! [SV8: $i > $o] :
( ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV8
@ ( sK1_SY0
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[206]) ).
thf(596,plain,
! [SV12: $i > $i,SV11: $i > $i] :
( ( ( ( SV11
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
= ( SV12
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( SV11 @ SX0 )
!= ( SV12 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[93]) ).
thf(597,plain,
( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ),
inference(sim,[status(thm)],[95]) ).
thf(598,plain,
( ( sK30_SX0 @ ( sK1_SY0 @ sK30_SX0 ) )
= $false ),
inference(sim,[status(thm)],[505]) ).
thf(599,plain,
( ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK30_SX0 ) )
= $true ),
inference(sim,[status(thm)],[456]) ).
thf(600,plain,
( ( sK25_SX0 @ ( sK1_SY0 @ sK25_SX0 ) )
= $false ),
inference(sim,[status(thm)],[406]) ).
thf(601,plain,
( ( ( sK13_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK25_SX0 ) )
= $true ),
inference(sim,[status(thm)],[357]) ).
thf(602,plain,
( ( ( sK1_SY0
@ ^ [SX0: $i] : ( SX0 != SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ),
inference(sim,[status(thm)],[123]) ).
thf(603,plain,
! [SV74: $i > $i > $o] :
( ( ( ( sK1_SY0
@ ( SV74
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV74 @ SX0 ) )
!= SX0 ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_SY0 @ SX1 ) )
| ( SX0
!= ( sK1_SY0 @ SX1 ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[124]) ).
thf(604,plain,
! [SV278: $i > $o,SV60: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV60 @ SX1 ) ) )
= ( sK1_SY0 @ SV278 ) )
= $false )
| ( ( SV278 @ ( sK1_SY0 @ SV278 ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV60 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV60
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV60 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[552]) ).
thf(605,plain,
( ( sK36_SX0 @ ( sK1_SY0 @ sK36_SX0 ) )
= $false ),
inference(sim,[status(thm)],[523]) ).
thf(606,plain,
( ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK36_SX0 ) )
= $true ),
inference(sim,[status(thm)],[480]) ).
thf(607,plain,
! [SV46: $i > $i > $o] :
( ( ( sK37_SX0 @ SV46 @ ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[524]) ).
thf(608,plain,
! [SV46: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV46 @ SX1 ) ) )
= ( sK1_SY0 @ ( sK37_SX0 @ SV46 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV46 @ SX0 ) )
!= SX0 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV46
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV46 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[482]) ).
thf(609,plain,
( ( sK27_SX0 @ ( sK1_SY0 @ sK27_SX0 ) )
= $false ),
inference(sim,[status(thm)],[432]) ).
thf(610,plain,
( ( ( sK2_E
@ ^ [SX1: $i] : SX1 )
= ( sK1_SY0 @ sK27_SX0 ) )
= $true ),
inference(sim,[status(thm)],[379]) ).
thf(611,plain,
! [SV32: $i > $i > $o] :
( ( ( sK28_SX0 @ SV32 @ ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[433]) ).
thf(612,plain,
! [SV32: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV32 @ SX1 ) ) )
= ( sK1_SY0 @ ( sK28_SX0 @ SV32 ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV32 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_SY0
@ ( SV32
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV32 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[381]) ).
thf(613,plain,
! [SV270: $i > $o,SV18: $i > $i > $o] :
( ( ( ( sK2_E
@ ^ [SX1: $i] : ( sK1_SY0 @ ( SV18 @ SX1 ) ) )
= ( sK1_SY0 @ SV270 ) )
= $false )
| ( ( SV270 @ ( sK1_SY0 @ SV270 ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i] : ( sK1_SY0 @ ( SV18 @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_SY0
@ ( SV18
@ ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) ) )
= ( sK1_SY0
@ ^ [SX0: $i] :
( ( sK1_SY0 @ ( SV18 @ SX0 ) )
!= SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[490]) ).
thf(614,plain,
( ( ~ ! [SY235: $i > $o] :
~ ~ ( ~ ~ ( SY235 @ ( sK1_SY0 @ SY235 ) )
| ( sK49_E
!= ( sK1_SY0 @ SY235 ) ) ) )
= $true ),
inference(sim,[status(thm)],[589]) ).
thf(615,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,585,584,583,581,580,579,578,577,573,572,569,568,562,561,560,559,558,556,550,549,548,547,546,544,540,536,535,530,529,518,517,512,511,506,498,496,488,486,474,472,466,464,462,458,448,407,393,359,250,249,232,231,226,225,208,207,144,143,116,115,96]) ).
thf(616,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV179^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 28 07:06:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33
% 0.13/0.33 No.of.Axioms: 0
% 0.13/0.33
% 0.13/0.33 Length.of.Defs: 201
% 0.13/0.33
% 0.13/0.33 Contains.Choice.Funs: false
% 0.13/0.33 (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).eprover: CPU time limit exceeded, terminating
% 25.15/25.36 .........................
% 37.41/37.63
% 37.41/37.63 ********************************
% 37.41/37.63 * All subproblems solved! *
% 37.41/37.63 ********************************
% 37.41/37.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:615,loop_count:0,foatp_calls:2,translation:fof_full)
% 37.65/37.89
% 37.65/37.89 %**** Beginning of derivation protocol ****
% 37.65/37.89 % SZS output start CNFRefutation
% See solution above
% 37.65/37.90
% 37.65/37.90 %**** End of derivation protocol ****
% 37.65/37.90 %**** no. of clauses in derivation: 560 ****
% 37.65/37.90 %**** clause counter: 615 ****
% 37.65/37.90
% 37.65/37.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:615,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------