%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV087^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:32 AM UTC 2026
% Result : Theorem 5.84s 1.28s
% Output : CNFRefutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 1
% Syntax : Number of formulae : 445 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 8718 (3991 equ; 0 cnn)
% Maximal formula atoms : 6 ( 19 avg)
% Number of connectives : 7227 ( 657 ~;1848 |; 25 &;4687 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3982 (3982 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 78 usr; 48 con; 0-2 aty)
% Number of variables : 4143 (3660 ^; 478 !; 5 ?;4143 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_SY21,type,
sK10_SY21: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK11_SY22,type,
sK11_SY22: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK12_SV3,type,
sK12_SV3: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf(tp_sK13_SV4,type,
sK13_SV4: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf(tp_sK14_SV77,type,
sK14_SV77: $i ).
thf(tp_sK15_SV78,type,
sK15_SV78: $i ).
thf(tp_sK16_SV79,type,
sK16_SV79: $i > $i ).
thf(tp_sK17_SV80,type,
sK17_SV80: $i > $i ).
thf(tp_sK18_SV81,type,
sK18_SV81: $i > $i ).
thf(tp_sK19_SV82,type,
sK19_SV82: $i > $i ).
thf(tp_sK1_SY11,type,
sK1_SY11: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK20_SV83,type,
sK20_SV83: $i > $i ).
thf(tp_sK21_SV84,type,
sK21_SV84: $i > $i ).
thf(tp_sK22_SV85,type,
sK22_SV85: $i > $i ).
thf(tp_sK23_SV86,type,
sK23_SV86: $i > $i ).
thf(tp_sK24_SV87,type,
sK24_SV87: $i ).
thf(tp_sK25_SV88,type,
sK25_SV88: $i ).
thf(tp_sK26_SV89,type,
sK26_SV89: $i ).
thf(tp_sK27_SV90,type,
sK27_SV90: $i ).
thf(tp_sK28_SV91,type,
sK28_SV91: $i ).
thf(tp_sK29_SV92,type,
sK29_SV92: $i ).
thf(tp_sK2_SY12,type,
sK2_SY12: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK30_SV93,type,
sK30_SV93: $i ).
thf(tp_sK31_SV94,type,
sK31_SV94: $i ).
thf(tp_sK32_SV95,type,
sK32_SV95: $i ).
thf(tp_sK33_SV96,type,
sK33_SV96: $i ).
thf(tp_sK34_SV97,type,
sK34_SV97: $i ).
thf(tp_sK35_SV98,type,
sK35_SV98: $i ).
thf(tp_sK36_SV99,type,
sK36_SV99: $i ).
thf(tp_sK37_SV100,type,
sK37_SV100: $i ).
thf(tp_sK38_SV101,type,
sK38_SV101: $i ).
thf(tp_sK39_SV102,type,
sK39_SV102: $i ).
thf(tp_sK3_SY17,type,
sK3_SY17: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK40_SV103,type,
sK40_SV103: $i ).
thf(tp_sK41_SV104,type,
sK41_SV104: $i ).
thf(tp_sK42_E,type,
sK42_E: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf(tp_sK43_E,type,
sK43_E: $i ).
thf(tp_sK44_E,type,
sK44_E: $i ).
thf(tp_sK45_E,type,
sK45_E: $i ).
thf(tp_sK46_E,type,
sK46_E: $i ).
thf(tp_sK47_E,type,
sK47_E: $i ).
thf(tp_sK48_E,type,
sK48_E: $i ).
thf(tp_sK49_E,type,
sK49_E: $i ).
thf(tp_sK4_SY19,type,
sK4_SY19: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK50_E,type,
sK50_E: $i ).
thf(tp_sK51_E,type,
sK51_E: $i ).
thf(tp_sK52_E,type,
sK52_E: $i ).
thf(tp_sK53_E,type,
sK53_E: $i ).
thf(tp_sK54_E,type,
sK54_E: $i ).
thf(tp_sK55_E,type,
sK55_E: $i ).
thf(tp_sK56_E,type,
sK56_E: $i ).
thf(tp_sK57_E,type,
sK57_E: $i ).
thf(tp_sK58_E,type,
sK58_E: $i ).
thf(tp_sK59_E,type,
sK59_E: $i ).
thf(tp_sK5_SY15,type,
sK5_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK60_E,type,
sK60_E: $i ).
thf(tp_sK61_E,type,
sK61_E: $i ).
thf(tp_sK62_E,type,
sK62_E: $i ).
thf(tp_sK63_E,type,
sK63_E: $i ).
thf(tp_sK64_E,type,
sK64_E: $i ).
thf(tp_sK65_E,type,
sK65_E: $i > $i ).
thf(tp_sK66_E,type,
sK66_E: $i > $i ).
thf(tp_sK67_E,type,
sK67_E: $i > $i ).
thf(tp_sK68_E,type,
sK68_E: $i > $i ).
thf(tp_sK69_E,type,
sK69_E: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf(tp_sK6_SY20,type,
sK6_SY20: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK70_E,type,
sK70_E: $i > $i ).
thf(tp_sK71_E,type,
sK71_E: $i > $i ).
thf(tp_sK72_E,type,
sK72_E: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf(tp_sK73_E,type,
sK73_E: $i > $i ).
thf(tp_sK74_E,type,
sK74_E: $i > $i ).
thf(tp_sK75_E,type,
sK75_E: $i ).
thf(tp_sK76_E,type,
sK76_E: $i ).
thf(tp_sK77_E,type,
sK77_E: $i ).
thf(tp_sK78_E,type,
sK78_E: $i ).
thf(tp_sK7_SY15,type,
sK7_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK8_SY15,type,
sK8_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK9_SV2,type,
sK9_SV2: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).
thf(1,conjecture,
? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [X: $i > $o,Y: $i > $o] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120H_pme) ).
thf(2,negated_conjecture,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [X: $i > $o,Y: $i > $o] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [X: $i > $o,Y: $i > $o] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [X: $i > $o,Y: $i > $o] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [X: $i > $o,Y: $i > $o] :
( ( ( R @ X @ Y )
& ( R @ Y @ X ) )
=> ( X = Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX1 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX1 ) )
| ( SX1 = SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX3 ) )
| ( SX0 @ SX1 @ SX3 ) ) )
| ~ ! [SX1: $i > $o,SX2: $i > $o] :
( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
| ~ ( SX0 @ SX2 @ SX1 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
| ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
| ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
| ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
| ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
| ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
| ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
| ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
| ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
| ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) ) )
= $true )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(16,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) ) )
= $false )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
= $true )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
= $true )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
= $true )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(20,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
= $true )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(21,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $true )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(23,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
| ~ ( SV1 @ SY13 @ SY14 ) )
| ( SV1 @ SY12 @ SY14 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY17: $i > $o,SY18: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK2_SY12 @ SV1 ) @ SY17 )
| ~ ( SV1 @ SY17 @ SY18 ) )
| ( SV1 @ ( sK2_SY12 @ SV1 ) @ SY18 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[23]) ).
thf(25,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY19: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY17 @ SV1 ) @ SY19 ) )
| ( SV1 @ ( sK2_SY12 @ SV1 ) @ SY19 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(26,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) ) )
| ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(27,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(28,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) ) ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY20: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK5_SY15 @ SV1 ) @ SY20 )
| ~ ( SV1 @ SY20 @ ( sK5_SY15 @ SV1 ) ) )
| ( ( sK5_SY15 @ SV1 )
= SY20 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[30]) ).
thf(33,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(34,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY15 @ SV1 ) @ ( sK6_SY20 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY20 @ SV1 ) @ ( sK5_SY15 @ SV1 ) ) )
| ( ( sK5_SY15 @ SV1 )
= ( sK6_SY20 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(36,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( ~ ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY15 @ SV1 ) @ ( sK6_SY20 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY20 @ SV1 ) @ ( sK5_SY15 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK5_SY15 @ SV1 )
= ( sK6_SY20 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY15: $i > $o,SY16: $i > $o] :
( ~ ~ ( ~ ( SV1 @ SY15 @ SY16 )
| ~ ( SV1 @ SY16 @ SY15 ) )
| ( SY15 = SY16 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK5_SY15 @ SV1 ) @ ( sK6_SY20 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY20 @ SV1 ) @ ( sK5_SY15 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SV2: $i] :
( ( sK5_SY15 @ SV1 @ SV2 )
= ( sK6_SY20 @ SV1 @ SV2 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[39]) ).
thf(44,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK5_SY15 @ SV1 )
= ( sK6_SY20 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[39]) ).
thf(45,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY21: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK7_SY15 @ SV1 ) @ SY21 )
| ~ ( SV1 @ SY21 @ ( sK7_SY15 @ SV1 ) ) )
| ( ( sK7_SY15 @ SV1 )
= SY21 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(46,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SY22: $i > $o] :
( ~ ~ ( ~ ( SV1 @ ( sK8_SY15 @ SV1 ) @ SY22 )
| ~ ( SV1 @ SY22 @ ( sK8_SY15 @ SV1 ) ) )
| ( ( sK8_SY15 @ SV1 )
= SY22 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(47,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY15 @ SV1 ) @ ( sK6_SY20 @ SV1 ) )
| ~ ( SV1 @ ( sK6_SY20 @ SV1 ) @ ( sK5_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
= ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(49,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK7_SY15 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
| ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK7_SY15 @ SV1 ) ) )
| ( ( sK7_SY15 @ SV1 )
= ( sK10_SY21 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[45]) ).
thf(50,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_SY15 @ SV1 ) @ ( sK11_SY22 @ SV1 ) )
| ~ ( SV1 @ ( sK11_SY22 @ SV1 ) @ ( sK8_SY15 @ SV1 ) ) )
| ( ( sK8_SY15 @ SV1 )
= ( sK11_SY22 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[46]) ).
thf(51,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK5_SY15 @ SV1 ) @ ( sK6_SY20 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK6_SY20 @ SV1 ) @ ( sK5_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(53,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
| ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
| ~ ( ~ ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
| ~ ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
= ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(55,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK7_SY15 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
| ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK7_SY15 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK7_SY15 @ SV1 )
= ( sK10_SY21 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_SY15 @ SV1 ) @ ( sK11_SY22 @ SV1 ) )
| ~ ( SV1 @ ( sK11_SY22 @ SV1 ) @ ( sK8_SY15 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK8_SY15 @ SV1 )
= ( sK11_SY22 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(59,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK5_SY15 @ SV1 ) @ ( sK6_SY20 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(60,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK6_SY20 @ SV1 ) @ ( sK5_SY15 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
| ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(62,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
| ~ ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[53]) ).
thf(63,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK7_SY15 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
| ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK7_SY15 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(64,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SV3: $i] :
( ( sK7_SY15 @ SV1 @ SV3 )
= ( sK10_SY21 @ SV1 @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[56]) ).
thf(65,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK7_SY15 @ SV1 )
= ( sK10_SY21 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[56]) ).
thf(66,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK8_SY15 @ SV1 ) @ ( sK11_SY22 @ SV1 ) )
| ~ ( SV1 @ ( sK11_SY22 @ SV1 ) @ ( sK8_SY15 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(67,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ! [SV4: $i] :
( ( sK8_SY15 @ SV1 @ SV4 )
= ( sK11_SY22 @ SV1 @ SV4 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(68,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK8_SY15 @ SV1 )
= ( sK11_SY22 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(69,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
| ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(70,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
| ~ ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(71,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK7_SY15 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
| ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK7_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(72,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
= ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[64]) ).
thf(73,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK8_SY15 @ SV1 ) @ ( sK11_SY22 @ SV1 ) )
| ~ ( SV1 @ ( sK11_SY22 @ SV1 ) @ ( sK8_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
= ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(75,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
= $true )
| ( ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(77,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK7_SY15 @ SV1 ) @ ( sK10_SY21 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK7_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
| ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
| ~ ( ~ ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
| ~ ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
= ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[72]) ).
thf(81,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK8_SY15 @ SV1 ) @ ( sK11_SY22 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK11_SY22 @ SV1 ) @ ( sK8_SY15 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(83,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
| ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
| ~ ( ~ ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
| ~ ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[74]) ).
thf(84,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
= ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[74]) ).
thf(85,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
= $false )
| ( ( ~ ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(86,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK7_SY15 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(87,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK7_SY15 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(88,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
| ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(89,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
| ~ ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[79]) ).
thf(90,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK8_SY15 @ SV1 ) @ ( sK11_SY22 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(91,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK11_SY22 @ SV1 ) @ ( sK8_SY15 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(92,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
| ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(93,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
| ~ ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(94,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK6_SY20 @ SV1 @ ( sK9_SV2 @ SV1 ) )
= $false )
| ( ( sK5_SY15 @ SV1 @ ( sK9_SV2 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(95,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
| ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(96,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
| ~ ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(97,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
| ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(98,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
| ~ ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(99,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
= $true )
| ( ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(100,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
= $true )
| ( ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
= $false )
| ( ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(104,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
= $false )
| ( ( ~ ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(105,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK10_SY21 @ SV1 @ ( sK12_SV3 @ SV1 ) )
= $false )
| ( ( sK7_SY15 @ SV1 @ ( sK12_SV3 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(106,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( sK11_SY22 @ SV1 @ ( sK13_SV4 @ SV1 ) )
= $false )
| ( ( sK8_SY15 @ SV1 @ ( sK13_SV4 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(107,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[44:[bind(SV1,$thf( ^ [SV6: $i > $o] : ^ [SV5: $i > $o] : ( SV6 = SV5 ) ))]]) ).
thf(108,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[107]) ).
thf(109,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[54:[bind(SV1,$thf( ^ [SV8: $i > $o] : ^ [SV7: $i > $o] : ( SV8 = SV7 ) ))]]) ).
thf(110,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[109]) ).
thf(111,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[59:[bind(SV1,$thf( ^ [SV10: $i > $o] : ^ [SV9: $i > $o] : ( SV10 = SV9 ) ))]]) ).
thf(112,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[111]) ).
thf(113,plain,
( ( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[60:[bind(SV1,$thf( ^ [SV12: $i > $o] : ^ [SV11: $i > $o] : ( SV12 = SV11 ) ))]]) ).
thf(114,plain,
( ( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[113]) ).
thf(115,plain,
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[65:[bind(SV1,$thf( ^ [SV14: $i > $o] : ^ [SV13: $i > $o] : ( SV14 = SV13 ) ))]]) ).
thf(116,plain,
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[115]) ).
thf(117,plain,
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[68:[bind(SV1,$thf( ^ [SV16: $i > $o] : ^ [SV15: $i > $o] : ( SV16 = SV15 ) ))]]) ).
thf(118,plain,
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[117]) ).
thf(119,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[75:[bind(SV1,$thf( ^ [SV18: $i > $o] : ^ [SV17: $i > $o] : ( SV18 = SV17 ) ))]]) ).
thf(120,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[119]) ).
thf(121,plain,
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[80:[bind(SV1,$thf( ^ [SV20: $i > $o] : ^ [SV19: $i > $o] : ( SV20 = SV19 ) ))]]) ).
thf(122,plain,
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[121]) ).
thf(123,plain,
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[84:[bind(SV1,$thf( ^ [SV22: $i > $o] : ^ [SV21: $i > $o] : ( SV22 = SV21 ) ))]]) ).
thf(124,plain,
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[123]) ).
thf(125,plain,
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[86:[bind(SV1,$thf( ^ [SV24: $i > $o] : ^ [SV23: $i > $o] : ( SV24 = SV23 ) ))]]) ).
thf(126,plain,
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[125]) ).
thf(127,plain,
( ( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[87:[bind(SV1,$thf( ^ [SV26: $i > $o] : ^ [SV25: $i > $o] : ( SV26 = SV25 ) ))]]) ).
thf(128,plain,
( ( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[127]) ).
thf(129,plain,
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[90:[bind(SV1,$thf( ^ [SV28: $i > $o] : ^ [SV27: $i > $o] : ( SV28 = SV27 ) ))]]) ).
thf(130,plain,
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[129]) ).
thf(131,plain,
( ( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[91:[bind(SV1,$thf( ^ [SV30: $i > $o] : ^ [SV29: $i > $o] : ( SV30 = SV29 ) ))]]) ).
thf(132,plain,
( ( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[131]) ).
thf(133,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[94:[bind(SV1,$thf( ^ [SV32: $i > $o] : ^ [SV31: $i > $o] : ( SV32 = SV31 ) ))]]) ).
thf(134,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[133]) ).
thf(135,plain,
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[99:[bind(SV1,$thf( ^ [SV34: $i > $o] : ^ [SV33: $i > $o] : ( SV34 = SV33 ) ))]]) ).
thf(136,plain,
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[135]) ).
thf(137,plain,
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[101:[bind(SV1,$thf( ^ [SV36: $i > $o] : ^ [SV35: $i > $o] : ( SV36 = SV35 ) ))]]) ).
thf(138,plain,
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[137]) ).
thf(139,plain,
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[105:[bind(SV1,$thf( ^ [SV38: $i > $o] : ^ [SV37: $i > $o] : ( SV38 = SV37 ) ))]]) ).
thf(140,plain,
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[139]) ).
thf(141,plain,
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_SY11
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[106:[bind(SV1,$thf( ^ [SV40: $i > $o] : ^ [SV39: $i > $o] : ( SV40 = SV39 ) ))]]) ).
thf(142,plain,
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[141]) ).
thf(143,plain,
! [SV41: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[108]) ).
thf(144,plain,
! [SV42: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[110]) ).
thf(145,plain,
! [SV43: $i,SV44: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[112]) ).
thf(146,plain,
! [SV45: $i,SV46: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[114]) ).
thf(147,plain,
! [SV47: $i,SV48: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[116]) ).
thf(148,plain,
! [SV49: $i,SV50: $i] :
( ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[118]) ).
thf(149,plain,
! [SV51: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[120]) ).
thf(150,plain,
! [SV52: $i,SV53: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[122]) ).
thf(151,plain,
! [SV54: $i,SV55: $i] :
( ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(152,plain,
! [SV56: $i,SV57: $i,SV58: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV58 )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV58 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[126]) ).
thf(153,plain,
! [SV59: $i,SV60: $i,SV61: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV59 )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV59 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV61 )
= ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV61 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[128]) ).
thf(154,plain,
! [SV62: $i,SV63: $i,SV64: $i] :
( ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV62 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV62 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV64 )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV64 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV65: $i,SV66: $i,SV67: $i] :
( ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV65 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV65 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 )
= ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[132]) ).
thf(156,plain,
! [SV68: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[134]) ).
thf(157,plain,
! [SV69: $i,SV70: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV69 )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV69 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[136]) ).
thf(158,plain,
! [SV71: $i,SV72: $i] :
( ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[138]) ).
thf(159,plain,
! [SV73: $i,SV74: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV73 )
= ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV73 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[140]) ).
thf(160,plain,
! [SV75: $i,SV76: $i] :
( ( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[142]) ).
thf(162,plain,
! [SV41: $i] :
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[143]) ).
thf(164,plain,
! [SV42: $i] :
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[144]) ).
thf(166,plain,
! [SV43: $i,SV44: $i] :
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[145]) ).
thf(168,plain,
! [SV45: $i,SV46: $i] :
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[146]) ).
thf(170,plain,
! [SV47: $i,SV48: $i] :
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(172,plain,
! [SV49: $i,SV50: $i] :
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[148]) ).
thf(174,plain,
! [SV51: $i] :
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[149]) ).
thf(176,plain,
! [SV52: $i,SV53: $i] :
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[150]) ).
thf(178,plain,
! [SV54: $i,SV55: $i] :
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[151]) ).
thf(180,plain,
! [SV56: $i,SV57: $i,SV58: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV58 )
= $false )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV58 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[152]) ).
thf(182,plain,
! [SV59: $i,SV60: $i,SV61: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV61 )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV61 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV59 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV59 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[153]) ).
thf(184,plain,
! [SV62: $i,SV63: $i,SV64: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV64 )
= $false )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV64 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV62 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV62 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[154]) ).
thf(186,plain,
! [SV65: $i,SV66: $i,SV67: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV65 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV65 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(188,plain,
! [SV68: $i] :
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(190,plain,
! [SV69: $i,SV70: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV69 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV69 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[157]) ).
thf(192,plain,
! [SV71: $i,SV72: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[158]) ).
thf(194,plain,
! [SV73: $i,SV74: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV73 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV73 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[159]) ).
thf(196,plain,
! [SV75: $i,SV76: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[160]) ).
thf(197,plain,
( ( ( ! [SV77: $i] :
( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV77 )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV77 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[162]) ).
thf(198,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[162]) ).
thf(201,plain,
( ( ( ~ ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
| ~ ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[164]) ).
thf(205,plain,
! [SV44: $i] :
( ( ( ! [SV79: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV79 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV79 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(206,plain,
! [SV44: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[166]) ).
thf(209,plain,
! [SV46: $i] :
( ( ( ! [SV81: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV81 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV81 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[168]) ).
thf(210,plain,
! [SV46: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[168]) ).
thf(213,plain,
! [SV47: $i] :
( ( ( ! [SV83: $i] :
( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[170]) ).
thf(214,plain,
! [SV47: $i] :
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[170]) ).
thf(217,plain,
! [SV49: $i] :
( ( ( ! [SV85: $i] :
( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV85 )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV85 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[172]) ).
thf(218,plain,
! [SV49: $i] :
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[172]) ).
thf(221,plain,
( ( ( ! [SV87: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV87 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV87 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[174]) ).
thf(222,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[174]) ).
thf(225,plain,
! [SV52: $i] :
( ( ( ~ ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
| ~ ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[176]) ).
thf(229,plain,
! [SV54: $i] :
( ( ( ~ ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
| ~ ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[178]) ).
thf(233,plain,
( ( ( ! [SV89: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV89 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV89 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(234,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[188]) ).
thf(237,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[197]) ).
thf(238,plain,
( ( ( ! [SV91: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV91 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV91 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[198]) ).
thf(239,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[198]) ).
thf(243,plain,
( ( ( ~ ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(244,plain,
( ( ( ~ ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(251,plain,
! [SV44: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(253,plain,
! [SV46: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[209]) ).
thf(255,plain,
! [SV47: $i] :
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(257,plain,
! [SV49: $i] :
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[217]) ).
thf(259,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[221]) ).
thf(261,plain,
! [SV52: $i] :
( ( ( ~ ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(262,plain,
! [SV52: $i] :
( ( ( ~ ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(265,plain,
! [SV54: $i] :
( ( ( ~ ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(266,plain,
! [SV54: $i] :
( ( ( ~ ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(269,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[233]) ).
thf(271,plain,
( ( ( ~ ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
| ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) )
| ~ ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
| ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[237]) ).
thf(273,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[238]) ).
thf(277,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(278,plain,
( ( ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(283,plain,
! [SV44: $i] :
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[251]) ).
thf(287,plain,
! [SV46: $i] :
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[253]) ).
thf(291,plain,
! [SV47: $i] :
( ( ( ~ ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
| ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) )
| ~ ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
| ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[255]) ).
thf(295,plain,
! [SV49: $i] :
( ( ( ~ ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
| ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) )
| ~ ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
| ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[257]) ).
thf(299,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[259]) ).
thf(303,plain,
! [SV52: $i] :
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(304,plain,
! [SV52: $i] :
( ( ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(307,plain,
! [SV54: $i] :
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(308,plain,
! [SV54: $i] :
( ( ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
| ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(311,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[269]) ).
thf(315,plain,
( ( ( ~ ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
| ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(316,plain,
( ( ( ~ ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
| ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(319,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[273]) ).
thf(327,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(328,plain,
( ( ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(335,plain,
! [SV44: $i] :
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(336,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(339,plain,
! [SV46: $i] :
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(340,plain,
! [SV46: $i] :
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(343,plain,
! [SV47: $i] :
( ( ( ~ ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
| ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(344,plain,
! [SV47: $i] :
( ( ( ~ ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
| ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(347,plain,
! [SV49: $i] :
( ( ( ~ ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
| ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(348,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
| ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(351,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(352,plain,
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(355,plain,
! [SV52: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(356,plain,
! [SV52: $i] :
( ( ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(359,plain,
! [SV54: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(360,plain,
! [SV54: $i] :
( ( ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(363,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(364,plain,
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(367,plain,
( ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
| ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(368,plain,
( ( ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
| ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(370,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(371,plain,
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(377,plain,
( ( ( ! [SV97: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV97 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV97 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[327]) ).
thf(378,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[327]) ).
thf(379,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(387,plain,
! [SV44: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(388,plain,
! [SV44: $i] :
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(391,plain,
! [SV46: $i] :
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(392,plain,
! [SV46: $i] :
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(395,plain,
! [SV47: $i] :
( ( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
| ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(396,plain,
! [SV47: $i] :
( ( ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
| ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(399,plain,
! [SV49: $i] :
( ( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
| ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(400,plain,
! [SV49: $i] :
( ( ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
| ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(403,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(404,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(407,plain,
! [SV52: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(409,plain,
! [SV54: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(411,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(412,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(415,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(416,plain,
( ( ( ~ ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) )
= $true )
| ( ( ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(419,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(420,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(427,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[377]) ).
thf(428,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(435,plain,
! [SV44: $i] :
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(436,plain,
! [SV44: $i] :
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(439,plain,
! [SV46: $i] :
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(440,plain,
! [SV46: $i] :
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(443,plain,
! [SV47: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(444,plain,
! [SV47: $i] :
( ( ( ~ ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) )
= $true )
| ( ( ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(447,plain,
! [SV49: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(448,plain,
! [SV49: $i] :
( ( ( ~ ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) )
= $true )
| ( ( ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(451,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(452,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(455,plain,
! [SV52: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(457,plain,
! [SV54: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(459,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(460,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(463,plain,
( ( ( ! [SV99: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV99 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[415]) ).
thf(464,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[415]) ).
thf(465,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( ~ ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(468,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(469,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(477,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[427]) ).
thf(479,plain,
( ( ( ! [SV101: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV101 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV101 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[428]) ).
thf(480,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[428]) ).
thf(489,plain,
! [SV44: $i] :
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(491,plain,
! [SV46: $i] :
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(493,plain,
! [SV47: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $false )
| ( ( ~ ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(495,plain,
! [SV49: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $false )
| ( ( ~ ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(497,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(499,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(501,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[463]) ).
thf(502,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(505,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(511,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(512,plain,
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(513,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[479]) ).
thf(519,plain,
! [SV44: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(521,plain,
! [SV46: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(523,plain,
! [SV47: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(525,plain,
! [SV49: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(527,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(529,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(531,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[501]) ).
thf(533,plain,
( ( ( ! [SV103: $i] :
( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[502]) ).
thf(534,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[502]) ).
thf(537,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(545,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(546,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(547,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[513]) ).
thf(555,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(556,plain,
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(557,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[533]) ).
thf(563,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(564,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(565,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(566,plain,
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(571,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(572,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(573,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) )
| ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[557]) ).
thf(581,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(582,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(583,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(587,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(588,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(589,plain,
( ( ( ~ ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(590,plain,
( ( ( ~ ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(595,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(596,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(597,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(601,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(602,plain,
( ( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
| ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(603,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
| ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(607,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(609,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(610,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(611,plain,
( ( ( ~ ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) )
= $true )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(615,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(617,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $false )
| ( ( ~ ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(619,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(621,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( sK5_SY15 @ SV1 @ ( sK42_E @ SV1 ) )
= $true )
| ( ( sK6_SY20 @ SV1 @ ( sK42_E @ SV1 ) )
= $true ) ),
inference(extuni,[status(esa)],[44]) ).
thf(622,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( sK5_SY15 @ SV1 @ ( sK42_E @ SV1 ) )
= $false )
| ( ( sK6_SY20 @ SV1 @ ( sK42_E @ SV1 ) )
= $false ) ),
inference(extuni,[status(esa)],[44]) ).
thf(623,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $true ) ),
inference(extuni,[status(esa)],[464]) ).
thf(624,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $false ) ),
inference(extuni,[status(esa)],[464]) ).
thf(625,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $true ) ),
inference(extuni,[status(esa)],[534]) ).
thf(626,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $false ) ),
inference(extuni,[status(esa)],[534]) ).
thf(627,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true ) ),
inference(extuni,[status(esa)],[468]) ).
thf(628,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true ) ),
inference(extuni,[status(esa)],[468]) ).
thf(629,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false ) ),
inference(extuni,[status(esa)],[537]) ).
thf(630,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false ) ),
inference(extuni,[status(esa)],[537]) ).
thf(631,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true ) ),
inference(extuni,[status(esa)],[239]) ).
thf(632,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true ) ),
inference(extuni,[status(esa)],[239]) ).
thf(633,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false ) ),
inference(extuni,[status(esa)],[239]) ).
thf(634,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false ) ),
inference(extuni,[status(esa)],[239]) ).
thf(647,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $true ) ),
inference(extuni,[status(esa)],[378]) ).
thf(648,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $false ) ),
inference(extuni,[status(esa)],[378]) ).
thf(649,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $true ) ),
inference(extuni,[status(esa)],[480]) ).
thf(650,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $false ) ),
inference(extuni,[status(esa)],[480]) ).
thf(655,plain,
! [SV44: $i] :
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $true ) ),
inference(extuni,[status(esa)],[206]) ).
thf(656,plain,
! [SV44: $i] :
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $false ) ),
inference(extuni,[status(esa)],[206]) ).
thf(659,plain,
! [SV46: $i] :
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $true ) ),
inference(extuni,[status(esa)],[210]) ).
thf(660,plain,
! [SV46: $i] :
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $false ) ),
inference(extuni,[status(esa)],[210]) ).
thf(663,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( sK7_SY15 @ SV1 @ ( sK69_E @ SV1 ) )
= $true )
| ( ( sK10_SY21 @ SV1 @ ( sK69_E @ SV1 ) )
= $true ) ),
inference(extuni,[status(esa)],[65]) ).
thf(664,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_SY12 @ SV1 ) @ ( sK3_SY17 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( sK7_SY15 @ SV1 @ ( sK69_E @ SV1 ) )
= $false )
| ( ( sK10_SY21 @ SV1 @ ( sK69_E @ SV1 ) )
= $false ) ),
inference(extuni,[status(esa)],[65]) ).
thf(665,plain,
! [SV47: $i] :
( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $true ) ),
inference(extuni,[status(esa)],[214]) ).
thf(666,plain,
! [SV47: $i] :
( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $false )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $false ) ),
inference(extuni,[status(esa)],[214]) ).
thf(669,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( sK8_SY15 @ SV1 @ ( sK72_E @ SV1 ) )
= $true )
| ( ( sK11_SY22 @ SV1 @ ( sK72_E @ SV1 ) )
= $true ) ),
inference(extuni,[status(esa)],[68]) ).
thf(670,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK3_SY17 @ SV1 ) @ ( sK4_SY19 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK1_SY11 @ SV1 ) @ ( sK1_SY11 @ SV1 ) )
= $false )
| ( ( sK8_SY15 @ SV1 @ ( sK72_E @ SV1 ) )
= $false )
| ( ( sK11_SY22 @ SV1 @ ( sK72_E @ SV1 ) )
= $false ) ),
inference(extuni,[status(esa)],[68]) ).
thf(671,plain,
! [SV49: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $true ) ),
inference(extuni,[status(esa)],[218]) ).
thf(672,plain,
! [SV49: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $false )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $false ) ),
inference(extuni,[status(esa)],[218]) ).
thf(675,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $true ) ),
inference(extuni,[status(esa)],[222]) ).
thf(676,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $false ) ),
inference(extuni,[status(esa)],[222]) ).
thf(679,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $true ) ),
inference(extuni,[status(esa)],[234]) ).
thf(680,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $false ) ),
inference(extuni,[status(esa)],[234]) ).
thf(683,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(sim,[status(thm)],[587]) ).
thf(684,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK36_SV99 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true ) ),
inference(sim,[status(thm)],[609]) ).
thf(685,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $false ) ),
inference(sim,[status(thm)],[624]) ).
thf(686,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK43_E )
= $true ) ),
inference(sim,[status(thm)],[623]) ).
thf(687,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(sim,[status(thm)],[610]) ).
thf(688,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK40_SV103 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false ) ),
inference(sim,[status(thm)],[619]) ).
thf(689,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $false ) ),
inference(sim,[status(thm)],[626]) ).
thf(690,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK14_SV77 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK44_E )
= $true ) ),
inference(sim,[status(thm)],[625]) ).
thf(691,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true ) ),
inference(sim,[status(thm)],[628]) ).
thf(692,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK46_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $true ) ),
inference(sim,[status(thm)],[627]) ).
thf(693,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false ) ),
inference(sim,[status(thm)],[630]) ).
thf(694,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK47_E )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK28_SV91 )
= $false ) ),
inference(sim,[status(thm)],[629]) ).
thf(695,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false ) ),
inference(sim,[status(thm)],[634]) ).
thf(696,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK50_E )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $false ) ),
inference(sim,[status(thm)],[633]) ).
thf(697,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true ) ),
inference(sim,[status(thm)],[632]) ).
thf(698,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK49_E )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK48_E )
= $true ) ),
inference(sim,[status(thm)],[631]) ).
thf(699,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[563]) ).
thf(700,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK34_SV97 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[595]) ).
thf(701,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $false ) ),
inference(sim,[status(thm)],[648]) ).
thf(702,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK59_E )
= $true ) ),
inference(sim,[status(thm)],[647]) ).
thf(703,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[596]) ).
thf(704,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK38_SV101 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[615]) ).
thf(705,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $false ) ),
inference(sim,[status(thm)],[650]) ).
thf(706,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK60_E )
= $true ) ),
inference(sim,[status(thm)],[649]) ).
thf(707,plain,
! [SV44: $i] :
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(sim,[status(thm)],[435]) ).
thf(708,plain,
! [SV44: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK16_SV79 @ SV44 ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false ) ),
inference(sim,[status(thm)],[519]) ).
thf(709,plain,
! [SV44: $i] :
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $false ) ),
inference(sim,[status(thm)],[656]) ).
thf(710,plain,
! [SV44: $i] :
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK65_E @ SV44 ) )
= $true ) ),
inference(sim,[status(thm)],[655]) ).
thf(711,plain,
! [SV46: $i] :
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(sim,[status(thm)],[439]) ).
thf(712,plain,
! [SV46: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK18_SV81 @ SV46 ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false ) ),
inference(sim,[status(thm)],[521]) ).
thf(713,plain,
! [SV46: $i] :
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $false ) ),
inference(sim,[status(thm)],[660]) ).
thf(714,plain,
! [SV46: $i] :
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK67_E @ SV46 ) )
= $true ) ),
inference(sim,[status(thm)],[659]) ).
thf(715,plain,
! [SV47: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(sim,[status(thm)],[443]) ).
thf(716,plain,
! [SV47: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK20_SV83 @ SV47 ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true ) ),
inference(sim,[status(thm)],[523]) ).
thf(717,plain,
! [SV47: $i] :
( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $false )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $false ) ),
inference(sim,[status(thm)],[666]) ).
thf(718,plain,
! [SV47: $i] :
( ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV47 )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK70_E @ SV47 ) )
= $true ) ),
inference(sim,[status(thm)],[665]) ).
thf(719,plain,
! [SV49: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(sim,[status(thm)],[447]) ).
thf(720,plain,
! [SV49: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK22_SV85 @ SV49 ) )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true ) ),
inference(sim,[status(thm)],[525]) ).
thf(721,plain,
! [SV49: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $false )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $false ) ),
inference(sim,[status(thm)],[672]) ).
thf(722,plain,
! [SV49: $i] :
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV49 )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK73_E @ SV49 ) )
= $true ) ),
inference(sim,[status(thm)],[671]) ).
thf(723,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[451]) ).
thf(724,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK24_SV87 )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[527]) ).
thf(725,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $false ) ),
inference(sim,[status(thm)],[676]) ).
thf(726,plain,
( ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK75_E )
= $true ) ),
inference(sim,[status(thm)],[675]) ).
thf(727,plain,
! [SV52: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(sim,[status(thm)],[355]) ).
thf(728,plain,
! [SV52: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= $true ) ),
inference(sim,[status(thm)],[455]) ).
thf(729,plain,
! [SV54: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(sim,[status(thm)],[359]) ).
thf(730,plain,
! [SV54: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(sim,[status(thm)],[457]) ).
thf(731,plain,
! [SV56: $i,SV57: $i,SV58: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV58 )
= $false )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV58 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(sim,[status(thm)],[180]) ).
thf(732,plain,
! [SV59: $i,SV60: $i,SV61: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV61 )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV61 )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV59 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV59 )
= $true ) ),
inference(sim,[status(thm)],[182]) ).
thf(733,plain,
! [SV62: $i,SV63: $i,SV64: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV64 )
= $false )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV64 )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV62 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV62 )
= $true ) ),
inference(sim,[status(thm)],[184]) ).
thf(734,plain,
! [SV65: $i,SV66: $i,SV67: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV65 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV65 )
= $true ) ),
inference(sim,[status(thm)],[186]) ).
thf(735,plain,
( ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $true )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[459]) ).
thf(736,plain,
( ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK26_SV89 )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[529]) ).
thf(737,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $false ) ),
inference(sim,[status(thm)],[680]) ).
thf(738,plain,
( ( ( sK6_SY20
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK5_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK9_SV2
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $true )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK77_E )
= $true ) ),
inference(sim,[status(thm)],[679]) ).
thf(739,plain,
! [SV69: $i,SV70: $i] :
( ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV69 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV69 )
= $true ) ),
inference(sim,[status(thm)],[190]) ).
thf(740,plain,
! [SV71: $i,SV72: $i] :
( ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 )
= $true ) ),
inference(sim,[status(thm)],[192]) ).
thf(741,plain,
! [SV73: $i,SV74: $i] :
( ( ( sK10_SY21
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK7_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK12_SV3
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK2_SY12
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV73 )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV73 )
= $true ) ),
inference(sim,[status(thm)],[194]) ).
thf(742,plain,
! [SV75: $i,SV76: $i] :
( ( ( sK11_SY22
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK8_SY15
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK13_SV4
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( sK3_SY17
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 )
= $false )
| ( ( sK4_SY19
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 )
= $true ) ),
inference(sim,[status(thm)],[196]) ).
thf(743,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[44,742,741,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,670,669,664,663,622,621,142,140,138,136,134,132,130,128,126,124,122,120,118,116,114,112,110,108,106,105,101,99,94,91,90,87,86,84,80,75,68,65,60,59,54]) ).
thf(744,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[743]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV087^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 15:41:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.84/1.28
% 5.84/1.28 No.of.Axioms: 0
% 5.84/1.28
% 5.84/1.28 Length.of.Defs: 0
% 5.84/1.28
% 5.84/1.28 Contains.Choice.Funs: false
% 5.84/1.28 .............
% 5.84/1.28
% 5.84/1.28 ********************************
% 5.84/1.28 * All subproblems solved! *
% 5.84/1.28 ********************************
% 5.84/1.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:743,loop_count:0,foatp_calls:2,translation:fof_full)
% 5.84/1.28
% 5.84/1.28 %**** Beginning of derivation protocol ****
% 5.84/1.28 % SZS output start CNFRefutation
% See solution above
% 5.84/1.28
% 5.84/1.28 %**** End of derivation protocol ****
% 5.84/1.28 %**** no. of clauses in derivation: 445 ****
% 5.84/1.28 %**** clause counter: 743 ****
% 5.84/1.28
% 5.84/1.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:743,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------