TSTP Solution File: QUA012^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : QUA012^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:38:19 EDT 2022
% Result : Theorem 143.61s 144.00s
% Output : CNFRefutation 144.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 107
% Syntax : Number of formulae : 1044 ( 183 unt; 92 typ; 7 def)
% Number of atoms : 9112 (5155 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 16968 (4436 ~;2798 |; 14 &;9718 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1955 (1955 >; 0 *; 0 +; 0 <<)
% Number of symbols : 95 ( 92 usr; 16 con; 0-4 aty)
% Number of variables : 2965 ( 693 ^2260 !; 12 ?;2965 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_addition,type,
addition: $i > $i > $i ).
thf(tp_crossmult,type,
crossmult: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_emptyset,type,
emptyset: $i > $o ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_multiplication,type,
multiplication: $i > $i > $i ).
thf(tp_one,type,
one: $i ).
thf(tp_sK10_SY213,type,
sK10_SY213: $i > ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK11_SY217,type,
sK11_SY217: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK12_SY227,type,
sK12_SY227: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK13_E,type,
sK13_E: $i ).
thf(tp_sK14_E,type,
sK14_E: $i > $i > $i > $i > $i ).
thf(tp_sK15_E,type,
sK15_E: $i > $i ).
thf(tp_sK16_E,type,
sK16_E: $i ).
thf(tp_sK17_E,type,
sK17_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK18_E,type,
sK18_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK19_E,type,
sK19_E: ( $i > $o ) > $i ).
thf(tp_sK1_X,type,
sK1_X: $i > $o ).
thf(tp_sK20_E,type,
sK20_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK21_E,type,
sK21_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK22_E,type,
sK22_E: $i > $i > $i ).
thf(tp_sK23_SY229,type,
sK23_SY229: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK24_SY228,type,
sK24_SY228: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK25_SY234,type,
sK25_SY234: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK26_SY232,type,
sK26_SY232: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK27_SY230,type,
sK27_SY230: ( $i > $o ) > $i ).
thf(tp_sK28_SY237,type,
sK28_SY237: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK29_SY239,type,
sK29_SY239: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK2_E,type,
sK2_E: $i ).
thf(tp_sK30_SY241,type,
sK30_SY241: ( $i > $o ) > $i ).
thf(tp_sK31_E,type,
sK31_E: $i ).
thf(tp_sK32_E,type,
sK32_E: $i > $i ).
thf(tp_sK33_E,type,
sK33_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK34_E,type,
sK34_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK35_E,type,
sK35_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK36_E,type,
sK36_E: $i > $i > $i ).
thf(tp_sK37_SY243,type,
sK37_SY243: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK38_SY242,type,
sK38_SY242: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK39_SY244,type,
sK39_SY244: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK3_E,type,
sK3_E: $i ).
thf(tp_sK40_SY247,type,
sK40_SY247: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK41_E,type,
sK41_E: $i ).
thf(tp_sK42_E,type,
sK42_E: $i ).
thf(tp_sK43_E,type,
sK43_E: $i ).
thf(tp_sK44_E,type,
sK44_E: $i > $i ).
thf(tp_sK45_E,type,
sK45_E: $i ).
thf(tp_sK46_E,type,
sK46_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK47_E,type,
sK47_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK48_E,type,
sK48_E: ( $i > $o ) > $i ).
thf(tp_sK49_E,type,
sK49_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: $i > $i > $i ).
thf(tp_sK50_E,type,
sK50_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK51_E,type,
sK51_E: $i > $i > $i ).
thf(tp_sK52_SY249,type,
sK52_SY249: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK53_SY248,type,
sK53_SY248: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK54_SY254,type,
sK54_SY254: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK55_SY252,type,
sK55_SY252: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK56_SY250,type,
sK56_SY250: ( $i > $o ) > $i ).
thf(tp_sK57_SY257,type,
sK57_SY257: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK58_SY259,type,
sK58_SY259: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK59_SY261,type,
sK59_SY261: ( $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: $i > $i > $i > $i ).
thf(tp_sK60_E,type,
sK60_E: $i ).
thf(tp_sK61_E,type,
sK61_E: $i > $i ).
thf(tp_sK62_E,type,
sK62_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK63_E,type,
sK63_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK64_E,type,
sK64_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK65_E,type,
sK65_E: $i > $i > $i ).
thf(tp_sK66_SY263,type,
sK66_SY263: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK67_SY262,type,
sK67_SY262: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK68_SY264,type,
sK68_SY264: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK69_SY267,type,
sK69_SY267: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: ( ( $i > $o ) > $o ) > $i > $i ).
thf(tp_sK70_E,type,
sK70_E: $i ).
thf(tp_sK71_E,type,
sK71_E: $i ).
thf(tp_sK72_E,type,
sK72_E: $i > $i ).
thf(tp_sK73_E,type,
sK73_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK74_E,type,
sK74_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK75_E,type,
sK75_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK76_E,type,
sK76_E: $i > $i > $i ).
thf(tp_sK77_SY269,type,
sK77_SY269: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK78_SY268,type,
sK78_SY268: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK79_SY270,type,
sK79_SY270: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( ( $i > $o ) > $o ) > $i > $i > $i ).
thf(tp_sK80_SY273,type,
sK80_SY273: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(tp_sK9_SX0,type,
sK9_SX0: $i > ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_singleton,type,
singleton: $i > $i > $o ).
thf(tp_sup,type,
sup: ( $i > $o ) > $i ).
thf(tp_supset,type,
supset: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_union,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_unionset,type,
unionset: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_zero,type,
zero: $i ).
thf(addition,definition,
( addition
= ( ^ [X: $i,Y: $i] : ( sup @ ( union @ ( singleton @ X ) @ ( singleton @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition) ).
thf(crossmult,definition,
( crossmult
= ( ^ [X: $i > $o,Y: $i > $o,A: $i] :
? [X1: $i,Y1: $i] :
( ( X @ X1 )
& ( Y @ Y1 )
& ( A
= ( multiplication @ X1 @ Y1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',crossmult) ).
thf(emptyset,definition,
( emptyset
= ( ^ [X: $i] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyset) ).
thf(singleton,definition,
( singleton
= ( ^ [X: $i,U: $i] : ( U = X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
thf(supset,definition,
( supset
= ( ^ [F: ( $i > $o ) > $o,X: $i] :
? [Y: $i > $o] :
( ( F @ Y )
& ( ( sup @ Y )
= X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',supset) ).
thf(union,definition,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
thf(unionset,definition,
( unionset
= ( ^ [F: ( $i > $o ) > $o,X: $i] :
? [Y: $i > $o] :
( ( F @ Y )
& ( Y @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unionset) ).
thf(1,axiom,
! [X: $i] :
( ( multiplication @ one @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_neutral_left) ).
thf(2,axiom,
! [X: $i] :
( ( multiplication @ X @ one )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_neutral_right) ).
thf(3,axiom,
! [X: $i > $o,Y: $i > $o] :
( ( multiplication @ ( sup @ X ) @ ( sup @ Y ) )
= ( sup @ ( crossmult @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_def) ).
thf(4,axiom,
! [X1: $i,X2: $i] :
( ( leq @ X1 @ X2 )
<=> ( ( addition @ X1 @ X2 )
= X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_def) ).
thf(5,axiom,
! [X: ( $i > $o ) > $o] :
( ( sup @ ( supset @ X ) )
= ( sup @ ( unionset @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sup_set) ).
thf(6,axiom,
! [X: $i] :
( ( sup @ ( singleton @ X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sup_singleset) ).
thf(7,axiom,
( ( sup @ emptyset )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sup_es) ).
thf(8,conjecture,
! [X: $i > $o] :
( ( multiplication @ zero @ ( sup @ X ) )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_anni) ).
thf(9,negated_conjecture,
( ( ! [X: $i > $o] :
( ( multiplication @ zero @ ( sup @ X ) )
= zero ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [X: $i > $o] :
( ( multiplication @ zero @ ( sup @ X ) )
= zero ) )
= $false ),
inference(unfold_def,[status(thm)],[9,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(11,plain,
( ( ! [X: $i] :
( ( multiplication @ one @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[1,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(12,plain,
( ( ! [X: $i] :
( ( multiplication @ X @ one )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[2,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(13,plain,
( ( ! [SY151: $i > $o,SY152: $i > $o] :
( ( multiplication @ ( sup @ SY151 ) @ ( sup @ SY152 ) )
= ( sup
@ ^ [SY157: $i] :
? [SY158: $i,SY159: $i] :
( ( SY151 @ SY158 )
& ( SY152 @ SY159 )
& ( SY157
= ( multiplication @ SY158 @ SY159 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(14,plain,
( ( ! [SY165: $i,SY166: $i] :
( ( leq @ SY165 @ SY166 )
<=> ( ( sup
@ ^ [SY173: $i] :
( ( SY173 = SY165 )
| ( SY173 = SY166 ) ) )
= SY166 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(15,plain,
( ( ! [SY177: ( $i > $o ) > $o] :
( ( sup
@ ^ [SY178: $i] :
? [SY179: $i > $o] :
( ( SY177 @ SY179 )
& ( ( sup @ SY179 )
= SY178 ) ) )
= ( sup
@ ^ [SY180: $i] :
? [SY181: $i > $o] :
( ( SY177 @ SY181 )
& ( SY181 @ SY180 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(16,plain,
( ( ! [SY187: $i] :
( ( sup
@ ^ [SY188: $i] : ( SY188 = SY187 ) )
= SY187 ) )
= $true ),
inference(unfold_def,[status(thm)],[6,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(17,plain,
( ( ( sup
@ ^ [X: $i] : $false )
= zero )
= $true ),
inference(unfold_def,[status(thm)],[7,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(18,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(19,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
!= zero ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [SY165: $i,SY166: $i] :
( ( ( sup
@ ^ [SY173: $i] :
( ( SY173 = SY165 )
| ( SY173 = SY166 ) ) )
!= SY166 )
| ( leq @ SY165 @ SY166 ) )
& ! [SY165: $i,SY166: $i] :
( ~ ( leq @ SY165 @ SY166 )
| ( ( sup
@ ^ [SY173: $i] :
( ( SY173 = SY165 )
| ( SY173 = SY166 ) ) )
= SY166 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(21,plain,
( ( ( sup
@ ^ [X: $i] : $false )
= zero )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(22,plain,
( ( ! [SY187: $i] :
( ( sup
@ ^ [SY188: $i] : ( SY188 = SY187 ) )
= SY187 ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(23,plain,
( ( ! [SY177: ( $i > $o ) > $o] :
( ( sup
@ ^ [SY178: $i] :
? [SY179: $i > $o] :
( ( SY177 @ SY179 )
& ( ( sup @ SY179 )
= SY178 ) ) )
= ( sup
@ ^ [SY180: $i] :
? [SY181: $i > $o] :
( ( SY177 @ SY181 )
& ( SY181 @ SY180 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(24,plain,
( ( ! [SY165: $i,SY166: $i] :
( ( ( sup
@ ^ [SY173: $i] :
( ( SY173 = SY165 )
| ( SY173 = SY166 ) ) )
!= SY166 )
| ( leq @ SY165 @ SY166 ) )
& ! [SY165: $i,SY166: $i] :
( ~ ( leq @ SY165 @ SY166 )
| ( ( sup
@ ^ [SY173: $i] :
( ( SY173 = SY165 )
| ( SY173 = SY166 ) ) )
= SY166 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(25,plain,
( ( ! [SY151: $i > $o,SY152: $i > $o] :
( ( multiplication @ ( sup @ SY151 ) @ ( sup @ SY152 ) )
= ( sup
@ ^ [SY157: $i] :
? [SY158: $i,SY159: $i] :
( ( SY151 @ SY158 )
& ( SY152 @ SY159 )
& ( SY157
= ( multiplication @ SY158 @ SY159 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(26,plain,
( ( ! [X: $i] :
( ( multiplication @ X @ one )
= X ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(27,plain,
( ( ! [X: $i] :
( ( multiplication @ one @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(28,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
!= zero ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(29,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
!= SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(30,plain,
( ( ! [SX0: $i > $o,SX1: $i > $o] :
( ( multiplication @ ( sup @ SX0 ) @ ( sup @ SX1 ) )
= ( sup
@ ^ [SX2: $i] :
~ ! [SX3: $i] :
~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( SX0 @ SX3 )
| ~ ( SX1 @ SX4 ) )
| ( SX2
!= ( multiplication @ SX3 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(31,plain,
( ( ! [SX0: ( $i > $o ) > $o] :
( ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SX0 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SX0 @ SX2 )
| ~ ( SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(32,plain,
! [SV1: $i] :
( ( ( sup
@ ^ [SY192: $i] : ( SY192 = SV1 ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(33,plain,
! [SV2: $i] :
( ( ( multiplication @ SV2 @ one )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV3: $i] :
( ( ( multiplication @ one @ SV3 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(36,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
!= SX1 )
| ( leq @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV4: $i > $o] :
( ( ! [SY193: $i > $o] :
( ( multiplication @ ( sup @ SV4 ) @ ( sup @ SY193 ) )
= ( sup
@ ^ [SY194: $i] :
~ ! [SY195: $i] :
~ ~ ! [SY196: $i] :
~ ~ ( ~ ~ ( ~ ( SV4 @ SY195 )
| ~ ( SY193 @ SY196 ) )
| ( SY194
!= ( multiplication @ SY195 @ SY196 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV5: ( $i > $o ) > $o] :
( ( ( sup
@ ^ [SY197: $i] :
~ ! [SY198: $i > $o] :
~ ~ ( ~ ( SV5 @ SY198 )
| ( ( sup @ SY198 )
!= SY197 ) ) )
= ( sup
@ ^ [SY199: $i] :
~ ! [SY200: $i > $o] :
~ ~ ( ~ ( SV5 @ SY200 )
| ~ ( SY200 @ SY199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(39,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
!= SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(40,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV6: $i > $o,SV4: $i > $o] :
( ( ( multiplication @ ( sup @ SV4 ) @ ( sup @ SV6 ) )
= ( sup
@ ^ [SY201: $i] :
~ ! [SY202: $i] :
~ ~ ! [SY203: $i] :
~ ~ ( ~ ~ ( ~ ( SV4 @ SY202 )
| ~ ( SV6 @ SY203 ) )
| ( SY201
!= ( multiplication @ SY202 @ SY203 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(42,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
!= SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV7: $i] :
( ( ! [SY204: $i] :
( ( ( sup
@ ^ [SY205: $i] :
( ( SY205 = SV7 )
| ( SY205 = SY204 ) ) )
!= SY204 )
| ( leq @ SV7 @ SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV8: $i] :
( ( ! [SY206: $i] :
( ~ ( leq @ SV8 @ SY206 )
| ( ( sup
@ ^ [SY207: $i] :
( ( SY207 = SV8 )
| ( SY207 = SY206 ) ) )
= SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( sup
@ ^ [SY208: $i] :
( ( SY208 = SV7 )
| ( SY208 = SV9 ) ) )
!= SV9 )
| ( leq @ SV7 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV10: $i,SV8: $i] :
( ( ~ ( leq @ SV8 @ SV10 )
| ( ( sup
@ ^ [SY209: $i] :
( ( SY209 = SV8 )
| ( SY209 = SV10 ) ) )
= SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( ( sup
@ ^ [SY208: $i] :
( ( SY208 = SV7 )
| ( SY208 = SV9 ) ) )
!= SV9 ) )
= $true )
| ( ( leq @ SV7 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV10: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV10 ) )
= $true )
| ( ( ( sup
@ ^ [SY209: $i] :
( ( SY209 = SV8 )
| ( SY209 = SV10 ) ) )
= SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( sup
@ ^ [SY208: $i] :
( ( SY208 = SV7 )
| ( SY208 = SV9 ) ) )
= SV9 )
= $false )
| ( ( leq @ SV7 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV10: $i,SV8: $i] :
( ( ( leq @ SV8 @ SV10 )
= $false )
| ( ( ( sup
@ ^ [SY209: $i] :
( ( SY209 = SV8 )
| ( SY209 = SV10 ) ) )
= SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(52,plain,
! [SV11: $i] :
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 )
= $true ),
inference(rename,[status(thm)],[32]) ).
thf(53,plain,
! [SV12: $i] :
( ( ( multiplication @ SV12 @ one )
= SV12 )
= $true ),
inference(rename,[status(thm)],[33]) ).
thf(54,plain,
! [SV13: $i] :
( ( ( multiplication @ one @ SV13 )
= SV13 )
= $true ),
inference(rename,[status(thm)],[34]) ).
thf(55,plain,
! [SV13: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[35,54]) ).
thf(56,plain,
! [SV12: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[35,53]) ).
thf(57,plain,
! [SV11: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[35,52]) ).
thf(58,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[35,21]) ).
thf(60,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[58]) ).
thf(61,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[57:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(62,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[57:[bind(SV11,$thf( zero ))]]) ).
thf(63,plain,
( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(64,plain,
( ( ( sup @ sK1_X )
= one )
= $false ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( zero ))]]) ).
thf(65,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( zero ))]]) ).
thf(66,plain,
( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $false ),
inference(extuni,[status(esa)],[55:[bind(SV13,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(67,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[55:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(68,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= $false ),
inference(extuni,[status(esa)],[55:[bind(SV13,$thf( zero ))]]) ).
thf(69,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true ),
inference(rename,[status(thm)],[38]) ).
thf(70,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero ) )
= $false ),
inference(res,[status(thm)],[69,35]) ).
thf(71,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extuni,[status(esa)],[70]) ).
thf(72,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extuni,[status(esa)],[70]) ).
thf(73,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[41]) ).
thf(74,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero ) )
= $false ),
inference(res,[status(thm)],[73,35]) ).
thf(75,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extuni,[status(esa)],[74]) ).
thf(76,plain,
! [SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( sK1_X @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) )
= zero )
= $false )
| ( ( ( sup @ SV16 )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[74:[bind(SV15,$thf( sK1_X ))]]) ).
thf(77,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) )
= zero )
= $false )
| ( ( ( sup @ SV15 )
= ( sup @ sK1_X ) )
= $false )
| ( ( ( sup @ SV16 )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[74]) ).
thf(78,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) )
= zero )
= $false )
| ( ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extuni,[status(esa)],[74]) ).
thf(79,plain,
! [SV17: $i,SV18: $i] :
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(rename,[status(thm)],[50]) ).
thf(82,plain,
! [SV17: $i,SV18: $i,SV15: $i > $o,SV16: $i > $o] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(res,[status(thm)],[79,73]) ).
thf(83,plain,
! [SV17: $i,SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(res,[status(thm)],[79,69]) ).
thf(84,plain,
! [SV17: $i,SV18: $i,SV13: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(res,[status(thm)],[79,54]) ).
thf(85,plain,
! [SV17: $i,SV18: $i,SV12: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(res,[status(thm)],[79,53]) ).
thf(86,plain,
! [SV17: $i,SV18: $i,SV11: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(res,[status(thm)],[79,52]) ).
thf(88,plain,
! [SV17: $i,SV18: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(res,[status(thm)],[79,21]) ).
thf(89,plain,
! [SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0
= ( sup
@ ^ [SX1: $i] : $false ) ) ) )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[88:[bind(SV17,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(90,plain,
! [SV18: $i] :
( ( ( leq @ SV18 @ zero )
= $true )
| ( ( ( ( sK4_E @ zero @ SV18 )
= SV18 )
| ( ( sK4_E @ zero @ SV18 )
= zero ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[88:[bind(SV17,$thf( zero ))]]) ).
thf(92,plain,
! [SV18: $i] :
( ( ( leq @ SV18 @ zero )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = zero ) ) )
= ( sup
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[88:[bind(SV17,$thf( zero ))]]) ).
thf(93,plain,
! [SV11: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV11 )
= $true )
| ( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV18 )
| ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 ) )
= $true )
| ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $true ) ),
inference(extuni,[status(esa)],[86:[bind(SV17,$thf( SV11 ))]]) ).
thf(94,plain,
! [SV11: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV11 )
= $true )
| ( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV18 )
| ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 ) )
= $false )
| ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV17,$thf( SV11 ))]]) ).
thf(95,plain,
! [SV11: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV11 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV11 ) ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV17,$thf( SV11 ))]]) ).
thf(96,plain,
! [SV12: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV12 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV12 ) ) )
= ( multiplication @ SV12 @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV17,$thf( SV12 ))]]) ).
thf(97,plain,
! [SV13: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV13 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV13 ) ) )
= ( multiplication @ one @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[84:[bind(SV17,$thf( SV13 ))]]) ).
thf(98,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
| ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[83:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ( ( sup @ SX1 ) != SX0 ) ) ) ) ))]]) ).
thf(99,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
| ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ( ( sup @ SX1 ) != SX0 ) ) ) ) ))]]) ).
thf(100,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ( ( sup @ SX1 ) != SX0 ) ) ) ) ))]]) ).
thf(101,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
| ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[83:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ~ ( SX1 @ SX0 ) ) ) ) ))]]) ).
thf(102,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
| ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ~ ( SX1 @ SX0 ) ) ) ) ))]]) ).
thf(103,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ~ ( SX1 @ SX0 ) ) ) ) ))]]) ).
thf(104,plain,
! [SV15: $i > $o,SV16: $i > $o,SV18: $i] :
( ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) ) )
= $true )
| ( ( ~ ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ))]]) ).
thf(105,plain,
! [SV15: $i > $o,SV16: $i > $o,SV18: $i] :
( ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) ) )
= $false )
| ( ( ~ ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ))]]) ).
thf(106,plain,
! [SV15: $i > $o,SV16: $i > $o,SV18: $i] :
( ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ))]]) ).
thf(107,plain,
! [SV15: $i > $o,SV16: $i > $o,SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX2 )
| ~ ( SV15 @ SX3 ) )
| ( SX1
!= ( multiplication @ SX2 @ SX3 ) ) ) ) ) ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV16 @ SX1 ) | ~ ( SV15 @ SX2 ) ) ) | ( SX0 != ( multiplication @ SX1 @ SX2 ) ) ) ) ) ) ) ))]]) ).
thf(110,plain,
! [SV18: $i] :
( ( ( ( sK4_E @ zero @ SV18 )
= SV18 )
= $true )
| ( ( ( sK4_E @ zero @ SV18 )
= zero )
= $true )
| ( ( leq @ SV18 @ zero )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(111,plain,
! [SV18: $i,SV11: $i] :
( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV18 )
= $false )
| ( ( leq @ SV18 @ SV11 )
= $true )
| ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(112,plain,
! [SV18: $i,SV11: $i] :
( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $false )
| ( ( leq @ SV18 @ SV11 )
= $true )
| ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(113,plain,
! [SV18: $i,SV11: $i] :
( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV18 )
= $true )
| ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $true )
| ( ( leq @ SV18 @ SV11 )
= $true )
| ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(114,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(115,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(116,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(117,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(118,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(119,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(120,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ~ ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(121,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ~ ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(122,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ~ ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(123,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(124,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(125,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(126,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(127,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(128,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV18: $i,SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(130,plain,
! [SV18: $i,SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(131,plain,
! [SV18: $i,SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY217: $i] :
~ ~ ! [SY218: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY217 )
| ~ ( SV15 @ SY218 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY217 @ SY218 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(132,plain,
! [SV18: $i,SV19: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV19 )
| ( ( sup @ SV19 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(133,plain,
! [SV18: $i,SV20: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV20 )
| ( ( sup @ SV20 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK9_SX0 @ SV18 @ SV14 ) )
| ( ( sup @ ( sK9_SX0 @ SV18 @ SV14 ) )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(135,plain,
! [SV18: $i,SV21: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV21 )
| ~ ( SV21 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(136,plain,
! [SV18: $i,SV22: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV22 )
| ~ ( SV22 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(137,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK10_SY213 @ SV18 @ SV14 ) )
| ~ ( sK10_SY213 @ SV18 @ SV14 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(138,plain,
! [SV18: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY225: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SY225 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SY225 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(139,plain,
! [SV18: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY226: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SY226 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SY226 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY227: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY227 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ SY227 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[131]) ).
thf(141,plain,
! [SV18: $i,SV19: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV19 )
| ( ( sup @ SV19 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV18: $i,SV20: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV20 )
| ( ( sup @ SV20 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(143,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK9_SX0 @ SV18 @ SV14 ) )
| ( ( sup @ ( sK9_SX0 @ SV18 @ SV14 ) )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(144,plain,
! [SV18: $i,SV21: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV21 )
| ~ ( SV21 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(145,plain,
! [SV18: $i,SV22: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV22 )
| ~ ( SV22 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK10_SY213 @ SV18 @ SV14 ) )
| ~ ( sK10_SY213 @ SV18 @ SV14 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(147,plain,
! [SV18: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ! [SY225: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SY225 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SY225 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV18: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ! [SY226: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SY226 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SY226 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(149,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ! [SY227: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY227 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ SY227 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(150,plain,
! [SV18: $i,SV19: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV19 )
| ( ( sup @ SV19 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(151,plain,
! [SV18: $i,SV20: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV20 )
| ( ( sup @ SV20 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(152,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK9_SX0 @ SV18 @ SV14 ) )
| ( ( sup @ ( sK9_SX0 @ SV18 @ SV14 ) )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV18: $i,SV21: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV21 )
| ~ ( SV21 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(154,plain,
! [SV18: $i,SV22: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV22 )
| ~ ( SV22 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(155,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK10_SY213 @ SV18 @ SV14 ) )
| ~ ( sK10_SY213 @ SV18 @ SV14 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(156,plain,
! [SV18: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ! [SY225: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SY225 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SY225 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(157,plain,
! [SV18: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ! [SY226: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SY226 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SY226 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(158,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ! [SY227: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY227 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ SY227 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(159,plain,
! [SV18: $i,SV19: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV19 ) )
= $true )
| ( ( ( ( sup @ SV19 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(160,plain,
! [SV18: $i,SV20: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV20 ) )
= $true )
| ( ( ( ( sup @ SV20 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(161,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK9_SX0 @ SV18 @ SV14 ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(162,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( ( ( sup @ ( sK9_SX0 @ SV18 @ SV14 ) )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(163,plain,
! [SV18: $i,SV21: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV21 ) )
= $true )
| ( ( ~ ( SV21 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV18: $i,SV22: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV22 ) )
= $true )
| ( ( ~ ( SV22 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK10_SY213 @ SV18 @ SV14 ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(166,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( ~ ( sK10_SY213 @ SV18 @ SV14 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SV25 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SV26 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[158]) ).
thf(170,plain,
! [SV18: $i,SV19: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV19 )
= $false )
| ( ( ( ( sup @ SV19 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(171,plain,
! [SV18: $i,SV20: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV20 )
= $false )
| ( ( ( ( sup @ SV20 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(172,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK9_SX0 @ SV18 @ SV14 ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(173,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( ( sup @ ( sK9_SX0 @ SV18 @ SV14 ) )
= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(174,plain,
! [SV18: $i,SV21: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV21 )
= $false )
| ( ( ~ ( SV21 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(175,plain,
! [SV18: $i,SV22: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV22 )
= $false )
| ( ( ~ ( SV22 @ ( sK6_E @ SV14 @ SV18 ) ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(176,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK10_SY213 @ SV18 @ SV14 ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(177,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( sK10_SY213 @ SV18 @ SV14 @ ( sK6_E @ SV14 @ SV18 ) )
= $true )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(178,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SV25 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(179,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SV26 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(180,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(181,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o,SV19: $i > $o] :
( ( ( ( sup @ SV19 )
= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) )
= $false )
| ( ( SV14 @ SV19 )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(182,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o,SV20: $i > $o] :
( ( ( ( sup @ SV20 )
= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) )
= $false )
| ( ( SV14 @ SV20 )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK7_E @ SV14
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV18 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(183,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o,SV21: $i > $o] :
( ( ( SV21 @ ( sK6_E @ SV14 @ SV18 ) )
= $false )
| ( ( SV14 @ SV21 )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(184,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o,SV22: $i > $o] :
( ( ( SV22 @ ( sK6_E @ SV14 @ SV18 ) )
= $false )
| ( ( SV14 @ SV22 )
= $false )
| ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK6_E @ SV14 @ SV18 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(185,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SV25 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(186,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SV26 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(187,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SV25 ) ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(189,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SV26 ) ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(190,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(191,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(192,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SV25 ) ) )
= $false )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(193,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SV26 ) ) )
= $false )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(194,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(195,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(196,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SV25 ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(197,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SV26 ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(198,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(199,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV23 ) )
= $true )
| ( ( ~ ( SV15 @ SV25 ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(200,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV24 ) )
= $true )
| ( ( ~ ( SV15 @ SV26 ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(201,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(202,plain,
! [SV16: $i > $o,SV18: $i,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(203,plain,
! [SV18: $i,SV25: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( SV16 @ SV23 )
= $false )
| ( ( ~ ( SV15 @ SV25 ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(204,plain,
! [SV18: $i,SV26: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( SV16 @ SV24 )
= $false )
| ( ( ~ ( SV15 @ SV26 ) )
= $true )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( SV16 @ ( sK11_SY217 @ SV18 @ SV15 @ SV16 ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(206,plain,
! [SV16: $i > $o,SV18: $i,SV15: $i > $o] :
( ( ( SV15 @ ( sK12_SY227 @ SV15 @ SV18 @ SV16 ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(207,plain,
! [SV18: $i,SV23: $i,SV16: $i > $o,SV25: $i,SV15: $i > $o] :
( ( ( SV15 @ SV25 )
= $false )
| ( ( SV16 @ SV23 )
= $false )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SV25 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(208,plain,
! [SV18: $i,SV24: $i,SV16: $i > $o,SV26: $i,SV15: $i > $o] :
( ( ( SV15 @ SV26 )
= $false )
| ( ( SV16 @ SV24 )
= $false )
| ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SV26 ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(209,plain,
! [SV25: $i,SV23: $i,SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ SV23 @ SV25 ) )
= $false )
| ( ( SV16 @ SV23 )
= $false )
| ( ( SV15 @ SV25 )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(210,plain,
! [SV26: $i,SV24: $i,SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ SV24 @ SV26 ) )
= $false )
| ( ( SV16 @ SV24 )
= $false )
| ( ( SV15 @ SV26 )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(211,plain,
! [SV18: $i] :
( ( ( ( sK4_E @ zero @ SV18 )
= SV18 )
= $true )
| ( ( ( sK4_E @ zero @ SV18 )
= zero )
= $true )
| ( ( leq @ SV18 @ zero )
= $true ) ),
inference(sim,[status(thm)],[110]) ).
thf(212,plain,
! [SV18: $i,SV11: $i] :
( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $false )
| ( ( leq @ SV18 @ SV11 )
= $true ) ),
inference(sim,[status(thm)],[112]) ).
thf(213,plain,
! [SV18: $i,SV11: $i] :
( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV18 )
= $true )
| ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $true )
| ( ( leq @ SV18 @ SV11 )
= $true ) ),
inference(sim,[status(thm)],[113]) ).
thf(214,plain,
! [SV27: $i,SV28: $i] :
( ( ( leq @ SV28 @ SV27 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 )
= $true ) ),
inference(rename,[status(thm)],[51]) ).
thf(218,plain,
! [SV27: $i,SV28: $i,SV17: $i,SV18: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(res,[status(thm)],[214,79]) ).
thf(224,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 )
= ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[214,35]) ).
thf(226,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[224:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(227,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extuni,[status(esa)],[224:[bind(SV27,$thf( zero ))]]) ).
thf(229,plain,
! [SV28: $i,SV17: $i] :
( ( ( leq @ SV17 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV17 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV17 @ SV17 @ SV28 )
= SV17 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV18,$thf( SV17 )),bind(SV27,$thf( SV17 ))]]) ).
thf(230,plain,
! [SV28: $i,SV17: $i] :
( ( ( leq @ SV17 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV17 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV17 @ SV17 @ SV28 )
= SV17 )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV18,$thf( SV17 )),bind(SV27,$thf( SV17 ))]]) ).
thf(231,plain,
! [SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV17 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV17 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV17 )
= SV18 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 )),bind(SV28,$thf( SV17 ))]]) ).
thf(232,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(234,plain,
! [SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV17 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV17 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV17 )
= SV18 )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 )),bind(SV28,$thf( SV17 ))]]) ).
thf(236,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(240,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(241,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(242,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(243,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(244,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(245,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(246,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $true )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(247,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $false )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(248,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV17 ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[218:[bind(SV27,$thf( SV17 ))]]) ).
thf(249,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(250,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[247]) ).
thf(251,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(252,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(253,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(254,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(255,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(256,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(257,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false ) ),
inference(sim,[status(thm)],[255]) ).
thf(258,plain,
! [SV28: $i,SV18: $i,SV17: $i] :
( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true ) ),
inference(sim,[status(thm)],[256]) ).
thf(259,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(sim,[status(thm)],[245]) ).
thf(260,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(sim,[status(thm)],[244]) ).
thf(261,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(sim,[status(thm)],[242]) ).
thf(262,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(sim,[status(thm)],[241]) ).
thf(263,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(sim,[status(thm)],[236]) ).
thf(264,plain,
! [SV28: $i,SV17: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV17 )
= $true )
| ( ( leq @ SV28 @ SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(sim,[status(thm)],[232]) ).
thf(265,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[60,214]) ).
thf(267,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[60,73]) ).
thf(268,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[60,69]) ).
thf(269,plain,
! [SV13: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[60,54]) ).
thf(270,plain,
! [SV12: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[60,53]) ).
thf(271,plain,
! [SV11: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[60,52]) ).
thf(272,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[60,21]) ).
thf(273,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false ),
inference(extuni,[status(esa)],[272]) ).
thf(274,plain,
( ( ( ( sup
@ ^ [X: $i] : $false )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[272]) ).
thf(275,plain,
( ( $false = $true )
| ( ( ( sK15_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true ) ),
inference(extuni,[status(esa)],[271:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(277,plain,
( ( ( sup
@ ^ [SX0: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[271:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(278,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup
@ ^ [SX1: $i] : $false ) ) ) )
= $false ),
inference(extuni,[status(esa)],[271:[bind(SV11,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(279,plain,
( ( ( sup
@ ^ [SX0: $i] : $false )
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[270:[bind(SV12,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(280,plain,
( ( ( ( sup
@ ^ [SX0: $i] : $false )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= one )
= $false ) ),
inference(extuni,[status(esa)],[270:[bind(SV12,$thf( zero ))]]) ).
thf(281,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication
@ ( sup
@ ^ [SX0: $i] : $false )
@ one ) )
= $false ),
inference(extuni,[status(esa)],[270:[bind(SV12,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(282,plain,
( ( ( sup
@ ^ [SX0: $i] : $false )
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $false ),
inference(extuni,[status(esa)],[269:[bind(SV13,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(283,plain,
( ( $false = $true )
| ( ( sK1_X @ sK16_E )
= $true )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[269:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(285,plain,
( ( ( ( sup
@ ^ [SX0: $i] : $false )
= ( sup @ sK1_X ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[269:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(286,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one
@ ( sup
@ ^ [SX0: $i] : $false ) ) )
= $false ),
inference(extuni,[status(esa)],[269:[bind(SV13,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(287,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ~ ! [SY228: $i > $o] :
~ ~ ( ~ ( SV14 @ SY228 )
| ( ( sup @ SY228 )
!= ( sK17_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[268]) ).
thf(289,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [X: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[268]) ).
thf(290,plain,
! [SV14: ( $i > $o ) > $o] :
( ( $false = $true )
| ( ( ~ ! [SY229: $i > $o] :
~ ~ ( ~ ( SV14 @ SY229 )
| ~ ( SY229 @ ( sK18_E @ SV14 ) ) ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[268]) ).
thf(292,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [X: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[268]) ).
thf(293,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup
@ ^ [X: $i] : $false )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(294,plain,
! [SV16: $i > $o] :
( ( $false = $true )
| ( ( ~ ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY230 )
| ~ ( sK1_X @ SY231 ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ SY230 @ SY231 ) ) ) )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[267:[bind(SV15,$thf( sK1_X ))]]) ).
thf(296,plain,
! [SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( sK1_X @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[267:[bind(SV15,$thf( sK1_X ))]]) ).
thf(297,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( $false = $true )
| ( ( ~ ! [SY232: $i] :
~ ~ ! [SY233: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY232 )
| ~ ( SV15 @ SY233 ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ SY232 @ SY233 ) ) ) )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(299,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [X: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(300,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( $false = $true )
| ( ( ~ ! [SY234: $i] :
~ ~ ! [SY235: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY234 )
| ~ ( SV15 @ SY235 ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ SY234 @ SY235 ) ) ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(302,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [X: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(303,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( $false = $true )
| ( ( ( ( sK22_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= SV28 )
| ( ( sK22_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[265:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(305,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(306,plain,
! [SV28: $i] :
( ( ( leq @ SV28
@ ( sup
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[265:[bind(SV27,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(308,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY229: $i > $o] :
~ ~ ( ~ ( SV14 @ SY229 )
| ~ ( SY229 @ ( sK18_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(310,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY228: $i > $o] :
~ ~ ( ~ ( SV14 @ SY228 )
| ( ( sup @ SY228 )
!= ( sK17_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(312,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY234: $i] :
~ ~ ! [SY235: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY234 )
| ~ ( SV15 @ SY235 ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ SY234 @ SY235 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(314,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY232: $i] :
~ ~ ! [SY233: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY232 )
| ~ ( SV15 @ SY233 ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ SY232 @ SY233 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(316,plain,
! [SV16: $i > $o] :
( ( ( ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY230 )
| ~ ( sK1_X @ SY231 ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ SY230 @ SY231 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(319,plain,
! [SV28: $i] :
( ( ( ( sK22_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= SV28 )
= $true )
| ( ( ( sK22_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( $false = $true )
| ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(321,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK23_SY229 @ SV14 ) )
| ~ ( sK23_SY229 @ SV14 @ ( sK18_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[308]) ).
thf(323,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK24_SY228 @ SV14 ) )
| ( ( sup @ ( sK24_SY228 @ SV14 ) )
!= ( sK17_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[310]) ).
thf(325,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY237: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY237 ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ SY237 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[312]) ).
thf(327,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY239: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY239 ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ SY239 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[314]) ).
thf(329,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ! [SY241: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ SY241 ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ ( sK27_SY230 @ SV16 ) @ SY241 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[316]) ).
thf(331,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK23_SY229 @ SV14 ) )
| ~ ( sK23_SY229 @ SV14 @ ( sK18_E @ SV14 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(333,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK24_SY228 @ SV14 ) )
| ( ( sup @ ( sK24_SY228 @ SV14 ) )
!= ( sK17_E @ SV14 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(335,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY237: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY237 ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ SY237 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(337,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY239: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY239 ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ SY239 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(339,plain,
! [SV16: $i > $o] :
( ( ( ~ ! [SY241: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ SY241 ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ ( sK27_SY230 @ SV16 ) @ SY241 ) ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(341,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK23_SY229 @ SV14 ) )
| ~ ( sK23_SY229 @ SV14 @ ( sK18_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(343,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK24_SY228 @ SV14 ) )
| ( ( sup @ ( sK24_SY228 @ SV14 ) )
!= ( sK17_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(345,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY237: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY237 ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ SY237 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(347,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY239: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY239 ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ SY239 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(349,plain,
! [SV16: $i > $o] :
( ( ( ! [SY241: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ SY241 ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ ( sK27_SY230 @ SV16 ) @ SY241 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(351,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK23_SY229 @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(352,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK23_SY229 @ SV14 @ ( sK18_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(354,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK24_SY228 @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(355,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK24_SY228 @ SV14 ) )
!= ( sK17_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(357,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ ( sK28_SY237 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[345]) ).
thf(359,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ ( sK29_SY239 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[347]) ).
thf(361,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ ( sK30_SY241 @ SV16 ) ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ ( sK27_SY230 @ SV16 ) @ ( sK30_SY241 @ SV16 ) ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[349]) ).
thf(363,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK23_SY229 @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(364,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK23_SY229 @ SV14 @ ( sK18_E @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(366,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK24_SY228 @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(367,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK24_SY228 @ SV14 ) )
= ( sK17_E @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(369,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ ( sK28_SY237 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(371,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ ( sK29_SY239 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(373,plain,
! [SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ ( sK30_SY241 @ SV16 ) ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ ( sK27_SY230 @ SV16 ) @ ( sK30_SY241 @ SV16 ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(377,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) ) )
| ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ ( sK28_SY237 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(379,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) ) )
| ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ ( sK29_SY239 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(381,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ ( sK30_SY241 @ SV16 ) ) )
| ( ( sK19_E @ SV16 )
!= ( multiplication @ ( sK27_SY230 @ SV16 ) @ ( sK30_SY241 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(383,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(384,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK21_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ ( sK28_SY237 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(386,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(387,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK20_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ ( sK29_SY239 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(389,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ ( sK30_SY241 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(390,plain,
! [SV16: $i > $o] :
( ( ( ( ( sK19_E @ SV16 )
!= ( multiplication @ ( sK27_SY230 @ SV16 ) @ ( sK30_SY241 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[381]) ).
thf(392,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(393,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK21_E @ SV15 @ SV16 )
= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ ( sK28_SY237 @ SV15 @ SV16 ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(395,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(396,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK20_E @ SV15 @ SV16 )
= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ ( sK29_SY239 @ SV15 @ SV16 ) ) )
= $true )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(398,plain,
! [SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ ( sK30_SY241 @ SV16 ) ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(399,plain,
! [SV16: $i > $o] :
( ( ( ( sK19_E @ SV16 )
= ( multiplication @ ( sK27_SY230 @ SV16 ) @ ( sK30_SY241 @ SV16 ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(401,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(403,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(405,plain,
! [SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) )
| ~ ( sK1_X @ ( sK30_SY241 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(407,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(408,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(410,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(411,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(413,plain,
! [SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK27_SY230 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(414,plain,
! [SV16: $i > $o] :
( ( ( ~ ( sK1_X @ ( sK30_SY241 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(416,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(417,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(419,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(420,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(422,plain,
! [SV16: $i > $o] :
( ( ( SV16 @ ( sK27_SY230 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(423,plain,
! [SV16: $i > $o] :
( ( ( sK1_X @ ( sK30_SY241 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(430,plain,
( ( ( sK15_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true ),
inference(sim,[status(thm)],[275]) ).
thf(431,plain,
( ( ( sK1_X @ sK16_E )
= $true )
| ( ( zero = one )
= $false ) ),
inference(sim,[status(thm)],[283]) ).
thf(432,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK23_SY229 @ SV14 ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[363]) ).
thf(433,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK23_SY229 @ SV14 @ ( sK18_E @ SV14 ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[364]) ).
thf(434,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK24_SY228 @ SV14 ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[366]) ).
thf(435,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK24_SY228 @ SV14 ) )
= ( sK17_E @ SV14 ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[367]) ).
thf(436,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK25_SY234 @ SV15 @ SV16 ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(sim,[status(thm)],[416]) ).
thf(437,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK28_SY237 @ SV15 @ SV16 ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(sim,[status(thm)],[417]) ).
thf(438,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK21_E @ SV15 @ SV16 )
= ( multiplication @ ( sK25_SY234 @ SV15 @ SV16 ) @ ( sK28_SY237 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(sim,[status(thm)],[393]) ).
thf(439,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK26_SY232 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[419]) ).
thf(440,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK29_SY239 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[420]) ).
thf(441,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK20_E @ SV15 @ SV16 )
= ( multiplication @ ( sK26_SY232 @ SV15 @ SV16 ) @ ( sK29_SY239 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[396]) ).
thf(442,plain,
! [SV16: $i > $o] :
( ( ( SV16 @ ( sK27_SY230 @ SV16 ) )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[422]) ).
thf(443,plain,
! [SV16: $i > $o] :
( ( ( sK1_X @ ( sK30_SY241 @ SV16 ) )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[423]) ).
thf(444,plain,
! [SV16: $i > $o] :
( ( ( ( sK19_E @ SV16 )
= ( multiplication @ ( sK27_SY230 @ SV16 ) @ ( sK30_SY241 @ SV16 ) ) )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[399]) ).
thf(445,plain,
! [SV28: $i] :
( ( ( ( sK22_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= SV28 )
= $true )
| ( ( ( sK22_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(sim,[status(thm)],[319]) ).
thf(446,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[61,214]) ).
thf(448,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[61,73]) ).
thf(449,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[61,69]) ).
thf(450,plain,
! [SV13: $i] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[61,54]) ).
thf(451,plain,
! [SV12: $i] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[61,53]) ).
thf(452,plain,
! [SV11: $i] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[61,52]) ).
thf(453,plain,
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[61,21]) ).
thf(454,plain,
( ( ( sK31_E
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[453]) ).
thf(456,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[453]) ).
thf(457,plain,
( ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[453]) ).
thf(458,plain,
( ( zero
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ),
inference(extuni,[status(esa)],[452:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(459,plain,
( ( ( ( sK32_E @ zero )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( ( sK32_E @ zero )
= zero )
= $true ) ),
inference(extuni,[status(esa)],[452:[bind(SV11,$thf( zero ))]]) ).
thf(460,plain,
( ( ( ( sK32_E @ zero )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( sK32_E @ zero )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[452:[bind(SV11,$thf( zero ))]]) ).
thf(461,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[452:[bind(SV11,$thf( zero ))]]) ).
thf(462,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup
@ ^ [SX1: $i] :
( SX1
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[452:[bind(SV11,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ))]]) ).
thf(463,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[451:[bind(SV12,$thf( zero ))]]) ).
thf(464,plain,
( ( zero
= ( multiplication
@ ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
@ one ) )
= $false ),
inference(extuni,[status(esa)],[451:[bind(SV12,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ))]]) ).
thf(465,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( multiplication @ one @ zero ) )
= $false ),
inference(extuni,[status(esa)],[450:[bind(SV13,$thf( zero ))]]) ).
thf(466,plain,
( ( zero
= ( multiplication @ one
@ ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[450:[bind(SV13,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ))]]) ).
thf(467,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( ~ ! [SY242: $i > $o] :
~ ~ ( ~ ( SV14 @ SY242 )
| ( ( sup @ SY242 )
!= ( sK33_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[449]) ).
thf(468,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ~ ! [SY242: $i > $o] :
~ ~ ( ~ ( SV14 @ SY242 )
| ( ( sup @ SY242 )
!= ( sK33_E @ SV14 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[449]) ).
thf(469,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[449]) ).
thf(470,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( ~ ! [SY243: $i > $o] :
~ ~ ( ~ ( SV14 @ SY243 )
| ~ ( SY243 @ ( sK34_E @ SV14 ) ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[449]) ).
thf(471,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ~ ! [SY243: $i > $o] :
~ ~ ( ~ ( SV14 @ SY243 )
| ~ ( SY243 @ ( sK34_E @ SV14 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[449]) ).
thf(472,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[449]) ).
thf(473,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[448]) ).
thf(474,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( ~ ! [SY244: $i] :
~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY244 )
| ~ ( SV15 @ SY245 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SY244 @ SY245 ) ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[448]) ).
thf(475,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ~ ! [SY244: $i] :
~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY244 )
| ~ ( SV15 @ SY245 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SY244 @ SY245 ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[448]) ).
thf(476,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[448]) ).
thf(477,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sK36_E @ zero @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( ( ( sK36_E @ zero @ SV28 )
= SV28 )
| ( ( sK36_E @ zero @ SV28 )
= zero ) )
= $true ) ),
inference(extuni,[status(esa)],[446:[bind(SV27,$thf( zero ))]]) ).
thf(478,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sK36_E @ zero @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( ( sK36_E @ zero @ SV28 )
= SV28 )
| ( ( sK36_E @ zero @ SV28 )
= zero ) )
= $false ) ),
inference(extuni,[status(esa)],[446:[bind(SV27,$thf( zero ))]]) ).
thf(479,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[446:[bind(SV27,$thf( zero ))]]) ).
thf(480,plain,
! [SV28: $i] :
( ( ( leq @ SV28
@ ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
( SX1
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[446:[bind(SV27,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ))]]) ).
thf(481,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY243: $i > $o] :
~ ~ ( ~ ( SV14 @ SY243 )
| ~ ( SY243 @ ( sK34_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(482,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY243: $i > $o] :
~ ~ ( ~ ( SV14 @ SY243 )
| ~ ( SY243 @ ( sK34_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(483,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY242: $i > $o] :
~ ~ ( ~ ( SV14 @ SY242 )
| ( ( sup @ SY242 )
!= ( sK33_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(484,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY242: $i > $o] :
~ ~ ( ~ ( SV14 @ SY242 )
| ( ( sup @ SY242 )
!= ( sK33_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(485,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY244: $i] :
~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY244 )
| ~ ( SV15 @ SY245 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SY244 @ SY245 ) ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(486,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY244: $i] :
~ ~ ! [SY245: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY244 )
| ~ ( SV15 @ SY245 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SY244 @ SY245 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(487,plain,
! [SV28: $i] :
( ( ( ( sK36_E @ zero @ SV28 )
= SV28 )
= $false )
| ( ( ( sK36_E @ zero @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(488,plain,
! [SV28: $i] :
( ( ( ( sK36_E @ zero @ SV28 )
= zero )
= $false )
| ( ( ( sK36_E @ zero @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(489,plain,
! [SV28: $i] :
( ( ( ( sK36_E @ zero @ SV28 )
= SV28 )
= $true )
| ( ( ( sK36_E @ zero @ SV28 )
= zero )
= $true )
| ( ( ( sK36_E @ zero @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(490,plain,
! [SV37: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV37 )
| ~ ( SV37 @ ( sK34_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(491,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK37_SY243 @ SV14 ) )
| ~ ( sK37_SY243 @ SV14 @ ( sK34_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(492,plain,
! [SV38: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV38 )
| ( ( sup @ SV38 )
!= ( sK33_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(493,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK38_SY242 @ SV14 ) )
| ( ( sup @ ( sK38_SY242 @ SV14 ) )
!= ( sK33_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[484]) ).
thf(494,plain,
! [SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY246: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SY246 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SY246 ) ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(495,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY247: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY247 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ SY247 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[486]) ).
thf(496,plain,
! [SV37: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV37 )
| ~ ( SV37 @ ( sK34_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(497,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK37_SY243 @ SV14 ) )
| ~ ( sK37_SY243 @ SV14 @ ( sK34_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(498,plain,
! [SV38: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV38 )
| ( ( sup @ SV38 )
!= ( sK33_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(499,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK38_SY242 @ SV14 ) )
| ( ( sup @ ( sK38_SY242 @ SV14 ) )
!= ( sK33_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(500,plain,
! [SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ! [SY246: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SY246 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SY246 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(501,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY247: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY247 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ SY247 ) ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(502,plain,
! [SV37: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV37 )
| ~ ( SV37 @ ( sK34_E @ SV14 ) ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(503,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK37_SY243 @ SV14 ) )
| ~ ( sK37_SY243 @ SV14 @ ( sK34_E @ SV14 ) ) )
= $false )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(504,plain,
! [SV38: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV38 )
| ( ( sup @ SV38 )
!= ( sK33_E @ SV14 ) ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(505,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK38_SY242 @ SV14 ) )
| ( ( sup @ ( sK38_SY242 @ SV14 ) )
!= ( sK33_E @ SV14 ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(506,plain,
! [SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ! [SY246: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SY246 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SY246 ) ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(507,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY247: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY247 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ SY247 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(508,plain,
! [SV37: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV37 ) )
= $true )
| ( ( ~ ( SV37 @ ( sK34_E @ SV14 ) ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(509,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK37_SY243 @ SV14 ) ) )
= $false )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(510,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK37_SY243 @ SV14 @ ( sK34_E @ SV14 ) ) )
= $false )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(511,plain,
! [SV38: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV38 ) )
= $true )
| ( ( ( ( sup @ SV38 )
!= ( sK33_E @ SV14 ) ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(512,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK38_SY242 @ SV14 ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(513,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK38_SY242 @ SV14 ) )
!= ( sK33_E @ SV14 ) ) )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(514,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SV40 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(515,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ ( sK40_SY247 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[507]) ).
thf(516,plain,
! [SV37: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV37 )
= $false )
| ( ( ~ ( SV37 @ ( sK34_E @ SV14 ) ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(517,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK37_SY243 @ SV14 ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(518,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK37_SY243 @ SV14 @ ( sK34_E @ SV14 ) )
= $true )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(519,plain,
! [SV38: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV38 )
= $false )
| ( ( ( ( sup @ SV38 )
!= ( sK33_E @ SV14 ) ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(520,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK38_SY242 @ SV14 ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(521,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK38_SY242 @ SV14 ) )
= ( sK33_E @ SV14 ) )
= $true )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(522,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SV40 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(523,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ ( sK40_SY247 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(524,plain,
! [SV14: ( $i > $o ) > $o,SV37: $i > $o] :
( ( ( SV37 @ ( sK34_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV37 )
= $false )
| ( ( ( sK34_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(525,plain,
! [SV14: ( $i > $o ) > $o,SV38: $i > $o] :
( ( ( ( sup @ SV38 )
= ( sK33_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV38 )
= $false )
| ( ( ( sK33_E @ SV14 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(526,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SV40 ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(527,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) ) )
| ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ ( sK40_SY247 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(528,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SV40 ) ) )
= $true )
| ( ( ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(529,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(530,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ ( sK40_SY247 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(531,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SV40 ) ) )
= $false )
| ( ( ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(532,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(533,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ ( sK39_SY244 @ SV15 @ SV16 ) @ ( sK40_SY247 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(534,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV39 )
| ~ ( SV15 @ SV40 ) )
= $true )
| ( ( ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(535,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(536,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV39 ) )
= $true )
| ( ( ~ ( SV15 @ SV40 ) )
= $true )
| ( ( ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(537,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(538,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(539,plain,
! [SV40: $i,SV15: $i > $o,SV39: $i,SV16: $i > $o] :
( ( ( SV16 @ SV39 )
= $false )
| ( ( ~ ( SV15 @ SV40 ) )
= $true )
| ( ( ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(540,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK39_SY244 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(541,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK40_SY247 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(542,plain,
! [SV39: $i,SV16: $i > $o,SV40: $i,SV15: $i > $o] :
( ( ( SV15 @ SV40 )
= $false )
| ( ( SV16 @ SV39 )
= $false )
| ( ( ( ( sK35_E @ SV15 @ SV16 )
!= ( multiplication @ SV39 @ SV40 ) ) )
= $true )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(543,plain,
! [SV40: $i,SV39: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ SV39 @ SV40 ) )
= $false )
| ( ( SV16 @ SV39 )
= $false )
| ( ( SV15 @ SV40 )
= $false )
| ( ( ( sK35_E @ SV15 @ SV16 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(544,plain,
( ( sK31_E
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true ),
inference(sim,[status(thm)],[454]) ).
thf(545,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[62,214]) ).
thf(547,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[62,73]) ).
thf(548,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[62,69]) ).
thf(549,plain,
! [SV13: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[62,54]) ).
thf(550,plain,
! [SV12: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[62,53]) ).
thf(551,plain,
! [SV11: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[62,52]) ).
thf(552,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[62,21]) ).
thf(553,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false )
| ( ( sK43_E = zero )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[552]) ).
thf(555,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[552]) ).
thf(556,plain,
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[552]) ).
thf(557,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false ),
inference(extuni,[status(esa)],[551:[bind(SV11,$thf( zero ))]]) ).
thf(558,plain,
( ( ( ( sK44_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= zero )
= $true )
| ( ( ( sK44_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true ) ),
inference(extuni,[status(esa)],[551:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(559,plain,
( ( ( ( sK44_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= zero )
= $false )
| ( ( ( sK44_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extuni,[status(esa)],[551:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(560,plain,
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[551:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(561,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup
@ ^ [SX1: $i] : ( SX1 = zero ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[551:[bind(SV11,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(562,plain,
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[550:[bind(SV12,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(563,plain,
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= one )
= $false ) ),
inference(extuni,[status(esa)],[550:[bind(SV12,$thf( zero ))]]) ).
thf(564,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication
@ ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
@ one ) )
= $false ),
inference(extuni,[status(esa)],[550:[bind(SV12,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(565,plain,
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $false ),
inference(extuni,[status(esa)],[549:[bind(SV13,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(566,plain,
( ( ( sK45_E = zero )
= $true )
| ( ( sK1_X @ sK45_E )
= $true )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[549:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(567,plain,
( ( ( sK45_E = zero )
= $false )
| ( ( sK1_X @ sK45_E )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[549:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(568,plain,
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup @ sK1_X ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[549:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(569,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one
@ ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[549:[bind(SV13,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(570,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ~ ! [SY248: $i > $o] :
~ ~ ( ~ ( SV14 @ SY248 )
| ( ( sup @ SY248 )
!= ( sK46_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[548]) ).
thf(571,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ~ ! [SY248: $i > $o] :
~ ~ ( ~ ( SV14 @ SY248 )
| ( ( sup @ SY248 )
!= ( sK46_E @ SV14 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[548]) ).
thf(572,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[548]) ).
thf(573,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ~ ! [SY249: $i > $o] :
~ ~ ( ~ ( SV14 @ SY249 )
| ~ ( SY249 @ ( sK47_E @ SV14 ) ) ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[548]) ).
thf(574,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ~ ! [SY249: $i > $o] :
~ ~ ( ~ ( SV14 @ SY249 )
| ~ ( SY249 @ ( sK47_E @ SV14 ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[548]) ).
thf(575,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[548]) ).
thf(576,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[547]) ).
thf(577,plain,
! [SV16: $i > $o] :
( ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( ~ ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY250 )
| ~ ( sK1_X @ SY251 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SY250 @ SY251 ) ) ) )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[547:[bind(SV15,$thf( sK1_X ))]]) ).
thf(578,plain,
! [SV16: $i > $o] :
( ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( ~ ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY250 )
| ~ ( sK1_X @ SY251 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SY250 @ SY251 ) ) ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[547:[bind(SV15,$thf( sK1_X ))]]) ).
thf(579,plain,
! [SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( sK1_X @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[547:[bind(SV15,$thf( sK1_X ))]]) ).
thf(580,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ~ ! [SY252: $i] :
~ ~ ! [SY253: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY252 )
| ~ ( SV15 @ SY253 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SY252 @ SY253 ) ) ) )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[547]) ).
thf(581,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ~ ! [SY252: $i] :
~ ~ ! [SY253: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY252 )
| ~ ( SV15 @ SY253 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SY252 @ SY253 ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[547]) ).
thf(582,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[547]) ).
thf(583,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ~ ! [SY254: $i] :
~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY254 )
| ~ ( SV15 @ SY255 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SY254 @ SY255 ) ) ) )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[547]) ).
thf(584,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ~ ! [SY254: $i] :
~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY254 )
| ~ ( SV15 @ SY255 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SY254 @ SY255 ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[547]) ).
thf(585,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[547]) ).
thf(586,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= zero )
= $true )
| ( ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= SV28 )
| ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[545:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(587,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= zero )
= $false )
| ( ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= SV28 )
| ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[545:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(588,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[545:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(589,plain,
! [SV28: $i] :
( ( ( leq @ SV28
@ ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup
@ ^ [SX1: $i] : ( SX1 = zero ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[545:[bind(SV27,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(590,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY249: $i > $o] :
~ ~ ( ~ ( SV14 @ SY249 )
| ~ ( SY249 @ ( sK47_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(591,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY249: $i > $o] :
~ ~ ( ~ ( SV14 @ SY249 )
| ~ ( SY249 @ ( sK47_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(592,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY248: $i > $o] :
~ ~ ( ~ ( SV14 @ SY248 )
| ( ( sup @ SY248 )
!= ( sK46_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(593,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY248: $i > $o] :
~ ~ ( ~ ( SV14 @ SY248 )
| ( ( sup @ SY248 )
!= ( sK46_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(594,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY254: $i] :
~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY254 )
| ~ ( SV15 @ SY255 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SY254 @ SY255 ) ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(595,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY254: $i] :
~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY254 )
| ~ ( SV15 @ SY255 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SY254 @ SY255 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(596,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY252: $i] :
~ ~ ! [SY253: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY252 )
| ~ ( SV15 @ SY253 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SY252 @ SY253 ) ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(597,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY252: $i] :
~ ~ ! [SY253: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY252 )
| ~ ( SV15 @ SY253 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SY252 @ SY253 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(598,plain,
! [SV16: $i > $o] :
( ( ( ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY250 )
| ~ ( sK1_X @ SY251 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SY250 @ SY251 ) ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(599,plain,
! [SV16: $i > $o] :
( ( ( ! [SY250: $i] :
~ ~ ! [SY251: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY250 )
| ~ ( sK1_X @ SY251 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SY250 @ SY251 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(600,plain,
! [SV28: $i] :
( ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= SV28 )
= $false )
| ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= zero )
= $false )
| ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(601,plain,
! [SV28: $i] :
( ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= zero )
= $false )
| ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(602,plain,
! [SV28: $i] :
( ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= SV28 )
= $true )
| ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $true )
| ( ( ( sK51_E @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ SV28 )
= zero )
= $true )
| ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(603,plain,
! [SV41: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV41 )
| ~ ( SV41 @ ( sK47_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(604,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK52_SY249 @ SV14 ) )
| ~ ( sK52_SY249 @ SV14 @ ( sK47_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[591]) ).
thf(605,plain,
! [SV42: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV42 )
| ( ( sup @ SV42 )
!= ( sK46_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(606,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK53_SY248 @ SV14 ) )
| ( ( sup @ ( sK53_SY248 @ SV14 ) )
!= ( sK46_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[593]) ).
thf(607,plain,
! [SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY256: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SY256 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SY256 ) ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(608,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY257 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ SY257 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[595]) ).
thf(609,plain,
! [SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SY258 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SY258 ) ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(610,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY259: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY259 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ SY259 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[597]) ).
thf(611,plain,
! [SV45: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY260: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SY260 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SY260 ) ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(612,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ! [SY261: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ SY261 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ ( sK56_SY250 @ SV16 ) @ SY261 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[599]) ).
thf(613,plain,
! [SV41: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV41 )
| ~ ( SV41 @ ( sK47_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(614,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK52_SY249 @ SV14 ) )
| ~ ( sK52_SY249 @ SV14 @ ( sK47_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(615,plain,
! [SV42: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV42 )
| ( ( sup @ SV42 )
!= ( sK46_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(616,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK53_SY248 @ SV14 ) )
| ( ( sup @ ( sK53_SY248 @ SV14 ) )
!= ( sK46_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(617,plain,
! [SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ! [SY256: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SY256 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SY256 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(618,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY257 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ SY257 ) ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(619,plain,
! [SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SY258 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SY258 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(620,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY259: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY259 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ SY259 ) ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(621,plain,
! [SV45: $i,SV16: $i > $o] :
( ( ( ~ ! [SY260: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SY260 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SY260 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(622,plain,
! [SV16: $i > $o] :
( ( ( ~ ! [SY261: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ SY261 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ ( sK56_SY250 @ SV16 ) @ SY261 ) ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(623,plain,
! [SV41: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV41 )
| ~ ( SV41 @ ( sK47_E @ SV14 ) ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(624,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK52_SY249 @ SV14 ) )
| ~ ( sK52_SY249 @ SV14 @ ( sK47_E @ SV14 ) ) )
= $false )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(625,plain,
! [SV42: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV42 )
| ( ( sup @ SV42 )
!= ( sK46_E @ SV14 ) ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(626,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK53_SY248 @ SV14 ) )
| ( ( sup @ ( sK53_SY248 @ SV14 ) )
!= ( sK46_E @ SV14 ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(627,plain,
! [SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ! [SY256: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SY256 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SY256 ) ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(628,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY257 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ SY257 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(629,plain,
! [SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SY258 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SY258 ) ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(630,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY259: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY259 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ SY259 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(631,plain,
! [SV45: $i,SV16: $i > $o] :
( ( ( ! [SY260: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SY260 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SY260 ) ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[621]) ).
thf(632,plain,
! [SV16: $i > $o] :
( ( ( ! [SY261: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ SY261 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ ( sK56_SY250 @ SV16 ) @ SY261 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(633,plain,
! [SV41: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV41 ) )
= $true )
| ( ( ~ ( SV41 @ ( sK47_E @ SV14 ) ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(634,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK52_SY249 @ SV14 ) ) )
= $false )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(635,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK52_SY249 @ SV14 @ ( sK47_E @ SV14 ) ) )
= $false )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(636,plain,
! [SV42: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV42 ) )
= $true )
| ( ( ( ( sup @ SV42 )
!= ( sK46_E @ SV14 ) ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(637,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK53_SY248 @ SV14 ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(638,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK53_SY248 @ SV14 ) )
!= ( sK46_E @ SV14 ) ) )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[626]) ).
thf(639,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SV46 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(640,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ ( sK57_SY257 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[628]) ).
thf(641,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SV47 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(642,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ ( sK58_SY259 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[630]) ).
thf(643,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SV48 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(644,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ ( sK59_SY261 @ SV16 ) ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ ( sK56_SY250 @ SV16 ) @ ( sK59_SY261 @ SV16 ) ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[632]) ).
thf(645,plain,
! [SV41: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV41 )
= $false )
| ( ( ~ ( SV41 @ ( sK47_E @ SV14 ) ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(646,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK52_SY249 @ SV14 ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(647,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK52_SY249 @ SV14 @ ( sK47_E @ SV14 ) )
= $true )
| ( ( ( sK47_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(648,plain,
! [SV42: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV42 )
= $false )
| ( ( ( ( sup @ SV42 )
!= ( sK46_E @ SV14 ) ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(649,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK53_SY248 @ SV14 ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(650,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK53_SY248 @ SV14 ) )
= ( sK46_E @ SV14 ) )
= $true )
| ( ( ( sK46_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(651,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SV46 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(652,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ ( sK57_SY257 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(653,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SV47 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(654,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ ( sK58_SY259 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(655,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SV48 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(656,plain,
! [SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ ( sK59_SY261 @ SV16 ) ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ ( sK56_SY250 @ SV16 ) @ ( sK59_SY261 @ SV16 ) ) ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(657,plain,
! [SV14: ( $i > $o ) > $o,SV41: $i > $o] :
( ( ( SV41 @ ( sK47_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV41 )
= $false )
| ( ( ( sK47_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(658,plain,
! [SV14: ( $i > $o ) > $o,SV42: $i > $o] :
( ( ( ( sup @ SV42 )
= ( sK46_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV42 )
= $false )
| ( ( ( sK46_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(659,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SV46 ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(660,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) ) )
| ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ ( sK57_SY257 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(661,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SV47 ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(662,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) ) )
| ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ ( sK58_SY259 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(663,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SV48 ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(664,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ ( sK59_SY261 @ SV16 ) ) )
| ( ( sK48_E @ SV16 )
!= ( multiplication @ ( sK56_SY250 @ SV16 ) @ ( sK59_SY261 @ SV16 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(665,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SV46 ) ) )
= $true )
| ( ( ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(666,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(667,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ ( sK57_SY257 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[660]) ).
thf(668,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SV47 ) ) )
= $true )
| ( ( ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(669,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(670,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ ( sK58_SY259 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(671,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SV48 ) ) )
= $true )
| ( ( ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(672,plain,
! [SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ ( sK59_SY261 @ SV16 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(673,plain,
! [SV16: $i > $o] :
( ( ( ( ( sK48_E @ SV16 )
!= ( multiplication @ ( sK56_SY250 @ SV16 ) @ ( sK59_SY261 @ SV16 ) ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(674,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SV46 ) ) )
= $false )
| ( ( ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(675,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(676,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK50_E @ SV15 @ SV16 )
= ( multiplication @ ( sK54_SY254 @ SV15 @ SV16 ) @ ( sK57_SY257 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(677,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SV47 ) ) )
= $false )
| ( ( ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(678,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(679,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK49_E @ SV15 @ SV16 )
= ( multiplication @ ( sK55_SY252 @ SV15 @ SV16 ) @ ( sK58_SY259 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(680,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SV48 ) ) )
= $false )
| ( ( ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(681,plain,
! [SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ ( sK59_SY261 @ SV16 ) ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(682,plain,
! [SV16: $i > $o] :
( ( ( ( sK48_E @ SV16 )
= ( multiplication @ ( sK56_SY250 @ SV16 ) @ ( sK59_SY261 @ SV16 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(683,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV43 )
| ~ ( SV15 @ SV46 ) )
= $true )
| ( ( ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(684,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(685,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV44 )
| ~ ( SV15 @ SV47 ) )
= $true )
| ( ( ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(686,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(687,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV45 )
| ~ ( sK1_X @ SV48 ) )
= $true )
| ( ( ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(688,plain,
! [SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) )
| ~ ( sK1_X @ ( sK59_SY261 @ SV16 ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(689,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV43 ) )
= $true )
| ( ( ~ ( SV15 @ SV46 ) )
= $true )
| ( ( ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(690,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(691,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(692,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV44 ) )
= $true )
| ( ( ~ ( SV15 @ SV47 ) )
= $true )
| ( ( ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(693,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(694,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[686]) ).
thf(695,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV45 ) )
= $true )
| ( ( ~ ( sK1_X @ SV48 ) )
= $true )
| ( ( ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(696,plain,
! [SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK56_SY250 @ SV16 ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(697,plain,
! [SV16: $i > $o] :
( ( ( ~ ( sK1_X @ ( sK59_SY261 @ SV16 ) ) )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(698,plain,
! [SV46: $i,SV15: $i > $o,SV43: $i,SV16: $i > $o] :
( ( ( SV16 @ SV43 )
= $false )
| ( ( ~ ( SV15 @ SV46 ) )
= $true )
| ( ( ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(699,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK54_SY254 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(700,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK57_SY257 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(701,plain,
! [SV47: $i,SV15: $i > $o,SV44: $i,SV16: $i > $o] :
( ( ( SV16 @ SV44 )
= $false )
| ( ( ~ ( SV15 @ SV47 ) )
= $true )
| ( ( ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(702,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK55_SY252 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(703,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK58_SY259 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(704,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( SV16 @ SV45 )
= $false )
| ( ( ~ ( sK1_X @ SV48 ) )
= $true )
| ( ( ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(705,plain,
! [SV16: $i > $o] :
( ( ( SV16 @ ( sK56_SY250 @ SV16 ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(706,plain,
! [SV16: $i > $o] :
( ( ( sK1_X @ ( sK59_SY261 @ SV16 ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(707,plain,
! [SV43: $i,SV16: $i > $o,SV46: $i,SV15: $i > $o] :
( ( ( SV15 @ SV46 )
= $false )
| ( ( SV16 @ SV43 )
= $false )
| ( ( ( ( sK50_E @ SV15 @ SV16 )
!= ( multiplication @ SV43 @ SV46 ) ) )
= $true )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(708,plain,
! [SV44: $i,SV16: $i > $o,SV47: $i,SV15: $i > $o] :
( ( ( SV15 @ SV47 )
= $false )
| ( ( SV16 @ SV44 )
= $false )
| ( ( ( ( sK49_E @ SV15 @ SV16 )
!= ( multiplication @ SV44 @ SV47 ) ) )
= $true )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(709,plain,
! [SV45: $i,SV16: $i > $o,SV48: $i] :
( ( ( sK1_X @ SV48 )
= $false )
| ( ( SV16 @ SV45 )
= $false )
| ( ( ( ( sK48_E @ SV16 )
!= ( multiplication @ SV45 @ SV48 ) ) )
= $true )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(710,plain,
! [SV46: $i,SV43: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK50_E @ SV15 @ SV16 )
= ( multiplication @ SV43 @ SV46 ) )
= $false )
| ( ( SV16 @ SV43 )
= $false )
| ( ( SV15 @ SV46 )
= $false )
| ( ( ( sK50_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(711,plain,
! [SV47: $i,SV44: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK49_E @ SV15 @ SV16 )
= ( multiplication @ SV44 @ SV47 ) )
= $false )
| ( ( SV16 @ SV44 )
= $false )
| ( ( SV15 @ SV47 )
= $false )
| ( ( ( sK49_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(712,plain,
! [SV48: $i,SV45: $i,SV16: $i > $o] :
( ( ( ( sK48_E @ SV16 )
= ( multiplication @ SV45 @ SV48 ) )
= $false )
| ( ( SV16 @ SV45 )
= $false )
| ( ( sK1_X @ SV48 )
= $false )
| ( ( ( sK48_E @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(713,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false )
| ( ( sK43_E = zero )
= $true ) ),
inference(sim,[status(thm)],[553]) ).
thf(714,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[63,214]) ).
thf(716,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[63,73]) ).
thf(717,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[63,69]) ).
thf(718,plain,
! [SV13: $i] :
( ( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[63,54]) ).
thf(719,plain,
! [SV12: $i] :
( ( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[63,53]) ).
thf(720,plain,
! [SV11: $i] :
( ( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[63,52]) ).
thf(721,plain,
( ( ( zero
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[63,21]) ).
thf(722,plain,
( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[721]) ).
thf(723,plain,
( ( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[721]) ).
thf(724,plain,
( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[720:[bind(SV11,$thf( zero ))]]) ).
thf(725,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) ) ) )
= $false ),
inference(extuni,[status(esa)],[720:[bind(SV11,$thf( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ))]]) ).
thf(726,plain,
( ( zero
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ),
inference(extuni,[status(esa)],[719:[bind(SV12,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(727,plain,
( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[719:[bind(SV12,$thf( zero ))]]) ).
thf(728,plain,
( ( zero
= ( multiplication @ ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[719:[bind(SV12,$thf( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ))]]) ).
thf(729,plain,
( ( ( zero = one )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= one )
= $false ) ),
inference(extuni,[status(esa)],[718:[bind(SV13,$thf( one ))]]) ).
thf(730,plain,
( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( multiplication @ one @ zero ) )
= $false ),
inference(extuni,[status(esa)],[718:[bind(SV13,$thf( zero ))]]) ).
thf(731,plain,
( ( zero
= ( multiplication @ one @ ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) ) )
= $false ),
inference(extuni,[status(esa)],[718:[bind(SV13,$thf( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ))]]) ).
thf(732,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[717]) ).
thf(733,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[717]) ).
thf(734,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( one
= ( sup @ SV15 ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[716]) ).
thf(735,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[716]) ).
thf(736,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[716]) ).
thf(737,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[714:[bind(SV27,$thf( zero ))]]) ).
thf(738,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[714:[bind(SV27,$thf( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ))]]) ).
thf(739,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( sup @ sK1_X )
= one )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[64,214]) ).
thf(741,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup @ sK1_X )
= one )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[64,73]) ).
thf(742,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ sK1_X )
= one )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[64,69]) ).
thf(743,plain,
! [SV13: $i] :
( ( ( ( sup @ sK1_X )
= one )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[64,54]) ).
thf(744,plain,
! [SV12: $i] :
( ( ( ( sup @ sK1_X )
= one )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[64,53]) ).
thf(745,plain,
! [SV11: $i] :
( ( ( ( sup @ sK1_X )
= one )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[64,52]) ).
thf(746,plain,
( ( ( ( sup @ sK1_X )
= one )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[64,21]) ).
thf(747,plain,
( ( ( ( sup @ sK1_X )
= zero )
= $false )
| ( ( one
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[746]) ).
thf(748,plain,
( ( ( one = zero )
= $false )
| ( ( sK1_X @ sK60_E )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[746]) ).
thf(750,plain,
( ( ( one = zero )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[746]) ).
thf(751,plain,
( ( one
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup @ sK1_X ) ) ) )
= $false ),
inference(extuni,[status(esa)],[745:[bind(SV11,$thf( sup @ sK1_X ))]]) ).
thf(752,plain,
( ( ( sK1_X @ ( sK61_E @ one ) )
= $true )
| ( ( ( sK61_E @ one )
= one )
= $true ) ),
inference(extuni,[status(esa)],[745:[bind(SV11,$thf( one ))]]) ).
thf(753,plain,
( ( ( sK1_X @ ( sK61_E @ one ) )
= $false )
| ( ( ( sK61_E @ one )
= one )
= $false ) ),
inference(extuni,[status(esa)],[745:[bind(SV11,$thf( one ))]]) ).
thf(754,plain,
( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= $false ),
inference(extuni,[status(esa)],[745:[bind(SV11,$thf( one ))]]) ).
thf(755,plain,
( ( one
= ( multiplication @ ( sup @ sK1_X ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[744:[bind(SV12,$thf( sup @ sK1_X ))]]) ).
thf(756,plain,
( ( ( sup @ sK1_X )
= ( multiplication @ one @ one ) )
= $false ),
inference(extuni,[status(esa)],[744:[bind(SV12,$thf( one ))]]) ).
thf(757,plain,
( ( one
= ( multiplication @ one @ ( sup @ sK1_X ) ) )
= $false ),
inference(extuni,[status(esa)],[743:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(758,plain,
( ( ( sup @ sK1_X )
= ( multiplication @ one @ one ) )
= $false ),
inference(extuni,[status(esa)],[743:[bind(SV13,$thf( one ))]]) ).
thf(759,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( ~ ! [SY262: $i > $o] :
~ ~ ( ~ ( SV14 @ SY262 )
| ~ ( SY262 @ ( sK62_E @ SV14 ) ) ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[742]) ).
thf(760,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( ~ ! [SY262: $i > $o] :
~ ~ ( ~ ( SV14 @ SY262 )
| ~ ( SY262 @ ( sK62_E @ SV14 ) ) ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[742]) ).
thf(761,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[742]) ).
thf(762,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( ~ ! [SY263: $i > $o] :
~ ~ ( ~ ( SV14 @ SY263 )
| ( ( sup @ SY263 )
!= ( sK63_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[742]) ).
thf(763,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( ~ ! [SY263: $i > $o] :
~ ~ ( ~ ( SV14 @ SY263 )
| ( ( sup @ SY263 )
!= ( sK63_E @ SV14 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[742]) ).
thf(764,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[742]) ).
thf(765,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( ~ ! [SY264: $i] :
~ ~ ! [SY265: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY264 )
| ~ ( SV15 @ SY265 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SY264 @ SY265 ) ) ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[741]) ).
thf(766,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( ~ ! [SY264: $i] :
~ ~ ! [SY265: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY264 )
| ~ ( SV15 @ SY265 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SY264 @ SY265 ) ) ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[741]) ).
thf(767,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[741]) ).
thf(768,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[741]) ).
thf(769,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup @ sK1_X ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[739:[bind(SV27,$thf( sup @ sK1_X ))]]) ).
thf(770,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ one )
= $false )
| ( ( sK1_X @ ( sK65_E @ one @ SV28 ) )
= $true )
| ( ( ( ( sK65_E @ one @ SV28 )
= SV28 )
| ( ( sK65_E @ one @ SV28 )
= one ) )
= $true ) ),
inference(extuni,[status(esa)],[739:[bind(SV27,$thf( one ))]]) ).
thf(771,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ one )
= $false )
| ( ( sK1_X @ ( sK65_E @ one @ SV28 ) )
= $false )
| ( ( ( ( sK65_E @ one @ SV28 )
= SV28 )
| ( ( sK65_E @ one @ SV28 )
= one ) )
= $false ) ),
inference(extuni,[status(esa)],[739:[bind(SV27,$thf( one ))]]) ).
thf(772,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ one )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = one ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[739:[bind(SV27,$thf( one ))]]) ).
thf(773,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY263: $i > $o] :
~ ~ ( ~ ( SV14 @ SY263 )
| ( ( sup @ SY263 )
!= ( sK63_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(774,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY263: $i > $o] :
~ ~ ( ~ ( SV14 @ SY263 )
| ( ( sup @ SY263 )
!= ( sK63_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(775,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY262: $i > $o] :
~ ~ ( ~ ( SV14 @ SY262 )
| ~ ( SY262 @ ( sK62_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(776,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY262: $i > $o] :
~ ~ ( ~ ( SV14 @ SY262 )
| ~ ( SY262 @ ( sK62_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(777,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY264: $i] :
~ ~ ! [SY265: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY264 )
| ~ ( SV15 @ SY265 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SY264 @ SY265 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(778,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY264: $i] :
~ ~ ! [SY265: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY264 )
| ~ ( SV15 @ SY265 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SY264 @ SY265 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(779,plain,
! [SV28: $i] :
( ( ( ( sK65_E @ one @ SV28 )
= SV28 )
= $false )
| ( ( sK1_X @ ( sK65_E @ one @ SV28 ) )
= $false )
| ( ( leq @ SV28 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(780,plain,
! [SV28: $i] :
( ( ( ( sK65_E @ one @ SV28 )
= one )
= $false )
| ( ( sK1_X @ ( sK65_E @ one @ SV28 ) )
= $false )
| ( ( leq @ SV28 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(781,plain,
! [SV28: $i] :
( ( ( ( sK65_E @ one @ SV28 )
= SV28 )
= $true )
| ( ( ( sK65_E @ one @ SV28 )
= one )
= $true )
| ( ( sK1_X @ ( sK65_E @ one @ SV28 ) )
= $true )
| ( ( leq @ SV28 @ one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(782,plain,
! [SV49: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV49 )
| ( ( sup @ SV49 )
!= ( sK63_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(783,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK66_SY263 @ SV14 ) )
| ( ( sup @ ( sK66_SY263 @ SV14 ) )
!= ( sK63_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[774]) ).
thf(784,plain,
! [SV50: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV50 )
| ~ ( SV50 @ ( sK62_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(785,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK67_SY262 @ SV14 ) )
| ~ ( sK67_SY262 @ SV14 @ ( sK62_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[776]) ).
thf(786,plain,
! [SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY266: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SY266 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SY266 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(787,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY267: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY267 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ SY267 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[778]) ).
thf(788,plain,
! [SV49: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV49 )
| ( ( sup @ SV49 )
!= ( sK63_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(789,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK66_SY263 @ SV14 ) )
| ( ( sup @ ( sK66_SY263 @ SV14 ) )
!= ( sK63_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(790,plain,
! [SV50: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV50 )
| ~ ( SV50 @ ( sK62_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(791,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK67_SY262 @ SV14 ) )
| ~ ( sK67_SY262 @ SV14 @ ( sK62_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(792,plain,
! [SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ! [SY266: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SY266 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SY266 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(793,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY267: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY267 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ SY267 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(794,plain,
! [SV49: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV49 )
| ( ( sup @ SV49 )
!= ( sK63_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(795,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK66_SY263 @ SV14 ) )
| ( ( sup @ ( sK66_SY263 @ SV14 ) )
!= ( sK63_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(796,plain,
! [SV50: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV50 )
| ~ ( SV50 @ ( sK62_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(797,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK67_SY262 @ SV14 ) )
| ~ ( sK67_SY262 @ SV14 @ ( sK62_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(798,plain,
! [SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ! [SY266: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SY266 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SY266 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(799,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY267: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY267 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ SY267 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(800,plain,
! [SV49: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV49 ) )
= $true )
| ( ( ( ( sup @ SV49 )
!= ( sK63_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(801,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK66_SY263 @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(802,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK66_SY263 @ SV14 ) )
!= ( sK63_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(803,plain,
! [SV50: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV50 ) )
= $true )
| ( ( ~ ( SV50 @ ( sK62_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(804,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK67_SY262 @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(805,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK67_SY262 @ SV14 @ ( sK62_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(806,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SV52 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(807,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ ( sK69_SY267 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[799]) ).
thf(808,plain,
! [SV49: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV49 )
= $false )
| ( ( ( ( sup @ SV49 )
!= ( sK63_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(809,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK66_SY263 @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(810,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK66_SY263 @ SV14 ) )
= ( sK63_E @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(811,plain,
! [SV50: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV50 )
= $false )
| ( ( ~ ( SV50 @ ( sK62_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(812,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK67_SY262 @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(813,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK67_SY262 @ SV14 @ ( sK62_E @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $true )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(814,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SV52 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(815,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ ( sK69_SY267 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(816,plain,
! [SV14: ( $i > $o ) > $o,SV49: $i > $o] :
( ( ( ( sup @ SV49 )
= ( sK63_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV49 )
= $false )
| ( ( sK1_X @ ( sK63_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(817,plain,
! [SV14: ( $i > $o ) > $o,SV50: $i > $o] :
( ( ( SV50 @ ( sK62_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV50 )
= $false )
| ( ( sK1_X @ ( sK62_E @ SV14 ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(818,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SV52 ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(819,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) ) )
| ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ ( sK69_SY267 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(820,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SV52 ) ) )
= $true )
| ( ( ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(821,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(822,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ ( sK69_SY267 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(823,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SV52 ) ) )
= $false )
| ( ( ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(824,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(825,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK64_E @ SV15 @ SV16 )
= ( multiplication @ ( sK68_SY264 @ SV15 @ SV16 ) @ ( sK69_SY267 @ SV15 @ SV16 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(826,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV51 )
| ~ ( SV15 @ SV52 ) )
= $true )
| ( ( ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(827,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(828,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV51 ) )
= $true )
| ( ( ~ ( SV15 @ SV52 ) )
= $true )
| ( ( ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(829,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(830,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(831,plain,
! [SV52: $i,SV15: $i > $o,SV51: $i,SV16: $i > $o] :
( ( ( SV16 @ SV51 )
= $false )
| ( ( ~ ( SV15 @ SV52 ) )
= $true )
| ( ( ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(832,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK68_SY264 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(833,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK69_SY267 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $true )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(834,plain,
! [SV51: $i,SV16: $i > $o,SV52: $i,SV15: $i > $o] :
( ( ( SV15 @ SV52 )
= $false )
| ( ( SV16 @ SV51 )
= $false )
| ( ( ( ( sK64_E @ SV15 @ SV16 )
!= ( multiplication @ SV51 @ SV52 ) ) )
= $true )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(835,plain,
! [SV52: $i,SV51: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK64_E @ SV15 @ SV16 )
= ( multiplication @ SV51 @ SV52 ) )
= $false )
| ( ( SV16 @ SV51 )
= $false )
| ( ( SV15 @ SV52 )
= $false )
| ( ( sK1_X @ ( sK64_E @ SV15 @ SV16 ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(836,plain,
( ( ( one = zero )
= $false )
| ( ( sK1_X @ sK60_E )
= $true ) ),
inference(sim,[status(thm)],[748]) ).
thf(837,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[65,214]) ).
thf(839,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[65,73]) ).
thf(840,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[65,69]) ).
thf(841,plain,
! [SV13: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[65,54]) ).
thf(842,plain,
! [SV12: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[65,53]) ).
thf(843,plain,
! [SV11: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[65,52]) ).
thf(844,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ zero @ one ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[65,21]) ).
thf(845,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false )
| ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[844]) ).
thf(846,plain,
( ( ( ( multiplication @ zero @ one )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[844]) ).
thf(847,plain,
( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[843:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(848,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ one ) ) ) )
= $false ),
inference(extuni,[status(esa)],[843:[bind(SV11,$thf( multiplication @ zero @ one ))]]) ).
thf(849,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false ),
inference(extuni,[status(esa)],[842:[bind(SV12,$thf( zero ))]]) ).
thf(850,plain,
( ( ( multiplication @ zero @ one )
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[842:[bind(SV12,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(851,plain,
( ( ( ( multiplication @ zero @ one )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= one )
= $false ) ),
inference(extuni,[status(esa)],[842:[bind(SV12,$thf( zero ))]]) ).
thf(852,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( multiplication @ zero @ one ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[842:[bind(SV12,$thf( multiplication @ zero @ one ))]]) ).
thf(853,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= one )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[841:[bind(SV13,$thf( one ))]]) ).
thf(854,plain,
( ( ( multiplication @ zero @ one )
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $false ),
inference(extuni,[status(esa)],[841:[bind(SV13,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(855,plain,
( ( ( ( multiplication @ zero @ one )
= ( sup @ sK1_X ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[841:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(856,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ ( multiplication @ zero @ one ) ) )
= $false ),
inference(extuni,[status(esa)],[841:[bind(SV13,$thf( multiplication @ zero @ one ))]]) ).
thf(857,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[840]) ).
thf(858,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[840]) ).
thf(859,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( one
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[839]) ).
thf(860,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ one )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[839]) ).
thf(861,plain,
! [SV16: $i > $o] :
( ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( sK1_X @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[839:[bind(SV15,$thf( sK1_X ))]]) ).
thf(862,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[839]) ).
thf(863,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[839]) ).
thf(864,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[837:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(865,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ one ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ zero @ one ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[837:[bind(SV27,$thf( multiplication @ zero @ one ))]]) ).
thf(866,plain,
( ( ( sup @ sK1_X )
= one )
= $false ),
inference(extuni,[status(esa)],[65]) ).
thf(867,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[66,214]) ).
thf(869,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[66,73]) ).
thf(870,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[66,69]) ).
thf(871,plain,
! [SV13: $i] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[66,54]) ).
thf(872,plain,
! [SV12: $i] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[66,53]) ).
thf(873,plain,
! [SV11: $i] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[66,52]) ).
thf(874,plain,
( ( ( zero
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[66,21]) ).
thf(875,plain,
( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[874]) ).
thf(876,plain,
( ( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[874]) ).
thf(877,plain,
( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[873:[bind(SV11,$thf( zero ))]]) ).
thf(878,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[873:[bind(SV11,$thf( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ))]]) ).
thf(879,plain,
( ( ( zero = one )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= one )
= $false ) ),
inference(extuni,[status(esa)],[872:[bind(SV12,$thf( one ))]]) ).
thf(880,plain,
( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[872:[bind(SV12,$thf( zero ))]]) ).
thf(881,plain,
( ( zero
= ( multiplication @ ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[872:[bind(SV12,$thf( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ))]]) ).
thf(882,plain,
( ( zero
= ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false ),
inference(extuni,[status(esa)],[871:[bind(SV13,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(883,plain,
( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( multiplication @ one @ zero ) )
= $false ),
inference(extuni,[status(esa)],[871:[bind(SV13,$thf( zero ))]]) ).
thf(884,plain,
( ( zero
= ( multiplication @ one @ ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[871:[bind(SV13,$thf( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ))]]) ).
thf(885,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[870]) ).
thf(886,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[870]) ).
thf(887,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup @ SV15 ) )
= $false )
| ( ( one
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[869]) ).
thf(888,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[869]) ).
thf(889,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[869]) ).
thf(890,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[867:[bind(SV27,$thf( zero ))]]) ).
thf(891,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[867:[bind(SV27,$thf( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ))]]) ).
thf(892,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero = one )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[67,214]) ).
thf(893,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero
= ( sup @ sK1_X ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[67,214]) ).
thf(896,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( zero = one )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false ) ),
inference(res,[status(thm)],[67,73]) ).
thf(897,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( zero
= ( sup @ sK1_X ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[67,73]) ).
thf(898,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( zero = one )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false ) ),
inference(res,[status(thm)],[67,69]) ).
thf(899,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( zero
= ( sup @ sK1_X ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[67,69]) ).
thf(900,plain,
! [SV13: $i] :
( ( ( ( zero = one )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false ) ),
inference(res,[status(thm)],[67,54]) ).
thf(901,plain,
! [SV13: $i] :
( ( ( ( zero
= ( sup @ sK1_X ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[67,54]) ).
thf(902,plain,
! [SV12: $i] :
( ( ( ( zero = one )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false ) ),
inference(res,[status(thm)],[67,53]) ).
thf(903,plain,
! [SV12: $i] :
( ( ( ( zero
= ( sup @ sK1_X ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[67,53]) ).
thf(904,plain,
! [SV11: $i] :
( ( ( ( zero = one )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false ) ),
inference(res,[status(thm)],[67,52]) ).
thf(905,plain,
! [SV11: $i] :
( ( ( ( zero
= ( sup @ sK1_X ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[67,52]) ).
thf(906,plain,
( ( ( ( zero = one )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false ) ),
inference(res,[status(thm)],[67,21]) ).
thf(907,plain,
( ( ( ( zero
= ( sup @ sK1_X ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[67,21]) ).
thf(908,plain,
( ( ( zero = one )
= $false )
| ( ( ( zero
= ( sup @ sK1_X ) )
= ( zero = one ) )
= $false ) ),
inference(fac_restr,[status(thm)],[67]) ).
thf(909,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X @ sK71_E )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[907]) ).
thf(911,plain,
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[907]) ).
thf(912,plain,
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[907]) ).
thf(913,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[906]) ).
thf(914,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one = zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[906]) ).
thf(915,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK72_E @ zero ) )
= $true )
| ( ( ( sK72_E @ zero )
= zero )
= $true ) ),
inference(extuni,[status(esa)],[905:[bind(SV11,$thf( zero ))]]) ).
thf(916,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK72_E @ zero ) )
= $false )
| ( ( ( sK72_E @ zero )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[905:[bind(SV11,$thf( zero ))]]) ).
thf(917,plain,
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ) ),
inference(extuni,[status(esa)],[905:[bind(SV11,$thf( zero ))]]) ).
thf(918,plain,
( ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup @ sK1_X ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[905:[bind(SV11,$thf( sup @ sK1_X ))]]) ).
thf(919,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ) ),
inference(extuni,[status(esa)],[904:[bind(SV11,$thf( zero ))]]) ).
thf(920,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= $false ) ),
inference(extuni,[status(esa)],[904:[bind(SV11,$thf( one ))]]) ).
thf(921,plain,
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= ( multiplication @ zero @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[903:[bind(SV12,$thf( zero ))]]) ).
thf(922,plain,
( ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ sK1_X ) @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[903:[bind(SV12,$thf( sup @ sK1_X ))]]) ).
thf(923,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( multiplication @ zero @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[902:[bind(SV12,$thf( zero ))]]) ).
thf(924,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( zero
= ( multiplication @ one @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[902:[bind(SV12,$thf( one ))]]) ).
thf(925,plain,
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= ( multiplication @ one @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[901:[bind(SV13,$thf( zero ))]]) ).
thf(926,plain,
( ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ one @ ( sup @ sK1_X ) ) )
= $false ) ),
inference(extuni,[status(esa)],[901:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(927,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( multiplication @ one @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[900:[bind(SV13,$thf( zero ))]]) ).
thf(928,plain,
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( zero
= ( multiplication @ one @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[900:[bind(SV13,$thf( one ))]]) ).
thf(929,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( ~ ! [SY268: $i > $o] :
~ ~ ( ~ ( SV14 @ SY268 )
| ( ( sup @ SY268 )
!= ( sK73_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[899]) ).
thf(930,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( ~ ! [SY268: $i > $o] :
~ ~ ( ~ ( SV14 @ SY268 )
| ( ( sup @ SY268 )
!= ( sK73_E @ SV14 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[899]) ).
thf(931,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[899]) ).
thf(932,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( ~ ! [SY269: $i > $o] :
~ ~ ( ~ ( SV14 @ SY269 )
| ~ ( SY269 @ ( sK74_E @ SV14 ) ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[899]) ).
thf(933,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( ~ ! [SY269: $i > $o] :
~ ~ ( ~ ( SV14 @ SY269 )
| ~ ( SY269 @ ( sK74_E @ SV14 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[899]) ).
thf(934,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[899]) ).
thf(935,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[898]) ).
thf(936,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[898]) ).
thf(937,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[897]) ).
thf(938,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( ~ ! [SY270: $i] :
~ ~ ! [SY271: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY270 )
| ~ ( SV15 @ SY271 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SY270 @ SY271 ) ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[897]) ).
thf(939,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( ~ ! [SY270: $i] :
~ ~ ! [SY271: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY270 )
| ~ ( SV15 @ SY271 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SY270 @ SY271 ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[897]) ).
thf(940,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[897]) ).
thf(941,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( one
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[896]) ).
thf(942,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[896]) ).
thf(943,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK76_E @ zero @ SV28 ) )
= $true )
| ( ( ( ( sK76_E @ zero @ SV28 )
= SV28 )
| ( ( sK76_E @ zero @ SV28 )
= zero ) )
= $true ) ),
inference(extuni,[status(esa)],[893:[bind(SV27,$thf( zero ))]]) ).
thf(944,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( zero = one )
= $false )
| ( ( sK1_X @ ( sK76_E @ zero @ SV28 ) )
= $false )
| ( ( ( ( sK76_E @ zero @ SV28 )
= SV28 )
| ( ( sK76_E @ zero @ SV28 )
= zero ) )
= $false ) ),
inference(extuni,[status(esa)],[893:[bind(SV27,$thf( zero ))]]) ).
thf(945,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[893:[bind(SV27,$thf( zero ))]]) ).
thf(946,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( sup @ sK1_X ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup @ sK1_X ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[893:[bind(SV27,$thf( sup @ sK1_X ))]]) ).
thf(947,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[892:[bind(SV27,$thf( zero ))]]) ).
thf(948,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ one )
= $false )
| ( ( zero
= ( sup @ sK1_X ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = one ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[892:[bind(SV27,$thf( one ))]]) ).
thf(949,plain,
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= zero )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[908]) ).
thf(950,plain,
( ( ( ( sup @ sK1_X )
= one )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[908]) ).
thf(951,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY269: $i > $o] :
~ ~ ( ~ ( SV14 @ SY269 )
| ~ ( SY269 @ ( sK74_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(952,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY269: $i > $o] :
~ ~ ( ~ ( SV14 @ SY269 )
| ~ ( SY269 @ ( sK74_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(953,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY268: $i > $o] :
~ ~ ( ~ ( SV14 @ SY268 )
| ( ( sup @ SY268 )
!= ( sK73_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(954,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY268: $i > $o] :
~ ~ ( ~ ( SV14 @ SY268 )
| ( ( sup @ SY268 )
!= ( sK73_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(955,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY270: $i] :
~ ~ ! [SY271: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY270 )
| ~ ( SV15 @ SY271 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SY270 @ SY271 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(956,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY270: $i] :
~ ~ ! [SY271: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY270 )
| ~ ( SV15 @ SY271 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SY270 @ SY271 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(957,plain,
! [SV28: $i] :
( ( ( ( sK76_E @ zero @ SV28 )
= SV28 )
= $false )
| ( ( sK1_X @ ( sK76_E @ zero @ SV28 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(958,plain,
! [SV28: $i] :
( ( ( ( sK76_E @ zero @ SV28 )
= zero )
= $false )
| ( ( sK1_X @ ( sK76_E @ zero @ SV28 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(959,plain,
! [SV28: $i] :
( ( ( ( sK76_E @ zero @ SV28 )
= SV28 )
= $true )
| ( ( ( sK76_E @ zero @ SV28 )
= zero )
= $true )
| ( ( sK1_X @ ( sK76_E @ zero @ SV28 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(960,plain,
! [SV53: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV53 )
| ~ ( SV53 @ ( sK74_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(961,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK77_SY269 @ SV14 ) )
| ~ ( sK77_SY269 @ SV14 @ ( sK74_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[952]) ).
thf(962,plain,
! [SV54: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV54 )
| ( ( sup @ SV54 )
!= ( sK73_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(963,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK78_SY268 @ SV14 ) )
| ( ( sup @ ( sK78_SY268 @ SV14 ) )
!= ( sK73_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[954]) ).
thf(964,plain,
! [SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY272: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SY272 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SY272 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(965,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY273: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY273 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ SY273 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[956]) ).
thf(966,plain,
! [SV53: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV53 )
| ~ ( SV53 @ ( sK74_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(967,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK77_SY269 @ SV14 ) )
| ~ ( sK77_SY269 @ SV14 @ ( sK74_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(968,plain,
! [SV54: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV54 )
| ( ( sup @ SV54 )
!= ( sK73_E @ SV14 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(969,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK78_SY268 @ SV14 ) )
| ( ( sup @ ( sK78_SY268 @ SV14 ) )
!= ( sK73_E @ SV14 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(970,plain,
! [SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ! [SY272: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SY272 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SY272 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(971,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY273: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY273 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ SY273 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(972,plain,
! [SV53: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV53 )
| ~ ( SV53 @ ( sK74_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(973,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK77_SY269 @ SV14 ) )
| ~ ( sK77_SY269 @ SV14 @ ( sK74_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(974,plain,
! [SV54: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV54 )
| ( ( sup @ SV54 )
!= ( sK73_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(975,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK78_SY268 @ SV14 ) )
| ( ( sup @ ( sK78_SY268 @ SV14 ) )
!= ( sK73_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(976,plain,
! [SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ! [SY272: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SY272 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SY272 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(977,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY273: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY273 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ SY273 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(978,plain,
! [SV53: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV53 ) )
= $true )
| ( ( ~ ( SV53 @ ( sK74_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(979,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK77_SY269 @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(980,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK77_SY269 @ SV14 @ ( sK74_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(981,plain,
! [SV54: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV54 ) )
= $true )
| ( ( ( ( sup @ SV54 )
!= ( sK73_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(982,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK78_SY268 @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(983,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK78_SY268 @ SV14 ) )
!= ( sK73_E @ SV14 ) ) )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(984,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SV56 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(985,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ ( sK80_SY273 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[977]) ).
thf(986,plain,
! [SV53: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV53 )
= $false )
| ( ( ~ ( SV53 @ ( sK74_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(987,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK77_SY269 @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(988,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK77_SY269 @ SV14 @ ( sK74_E @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(989,plain,
! [SV54: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV54 )
= $false )
| ( ( ( ( sup @ SV54 )
!= ( sK73_E @ SV14 ) ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(990,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK78_SY268 @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(991,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK78_SY268 @ SV14 ) )
= ( sK73_E @ SV14 ) )
= $true )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(992,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SV56 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(993,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ ( sK80_SY273 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(994,plain,
! [SV14: ( $i > $o ) > $o,SV53: $i > $o] :
( ( ( SV53 @ ( sK74_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV53 )
= $false )
| ( ( sK1_X @ ( sK74_E @ SV14 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(995,plain,
! [SV14: ( $i > $o ) > $o,SV54: $i > $o] :
( ( ( ( sup @ SV54 )
= ( sK73_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV54 )
= $false )
| ( ( sK1_X @ ( sK73_E @ SV14 ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(996,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SV56 ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(997,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) ) )
| ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ ( sK80_SY273 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(998,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SV56 ) ) )
= $true )
| ( ( ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(999,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1000,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ ( sK80_SY273 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1001,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SV56 ) ) )
= $false )
| ( ( ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1002,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1003,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK75_E @ SV15 @ SV16 )
= ( multiplication @ ( sK79_SY270 @ SV15 @ SV16 ) @ ( sK80_SY273 @ SV15 @ SV16 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1004,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV55 )
| ~ ( SV15 @ SV56 ) )
= $true )
| ( ( ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1005,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1006,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV55 ) )
= $true )
| ( ( ~ ( SV15 @ SV56 ) )
= $true )
| ( ( ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1007,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1008,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) ) )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1009,plain,
! [SV56: $i,SV15: $i > $o,SV55: $i,SV16: $i > $o] :
( ( ( SV16 @ SV55 )
= $false )
| ( ( ~ ( SV15 @ SV56 ) )
= $true )
| ( ( ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1010,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK79_SY270 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1011,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK80_SY273 @ SV15 @ SV16 ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $true )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1012,plain,
! [SV55: $i,SV16: $i > $o,SV56: $i,SV15: $i > $o] :
( ( ( SV15 @ SV56 )
= $false )
| ( ( SV16 @ SV55 )
= $false )
| ( ( ( ( sK75_E @ SV15 @ SV16 )
!= ( multiplication @ SV55 @ SV56 ) ) )
= $true )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1013,plain,
! [SV56: $i,SV55: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK75_E @ SV15 @ SV16 )
= ( multiplication @ SV55 @ SV56 ) )
= $false )
| ( ( SV16 @ SV55 )
= $false )
| ( ( SV15 @ SV56 )
= $false )
| ( ( sK1_X @ ( sK75_E @ SV15 @ SV16 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1014,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X @ sK71_E )
= $true ) ),
inference(sim,[status(thm)],[909]) ).
thf(1015,plain,
( ( ( zero = one )
= $false )
| ( ( ( sup @ sK1_X )
= zero )
= $false ) ),
inference(sim,[status(thm)],[949]) ).
thf(1016,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[68,214]) ).
thf(1018,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false ),
inference(res,[status(thm)],[68,73]) ).
thf(1019,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false ),
inference(res,[status(thm)],[68,69]) ).
thf(1020,plain,
! [SV13: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[68,54]) ).
thf(1021,plain,
! [SV12: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[68,53]) ).
thf(1022,plain,
! [SV11: $i] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[68,52]) ).
thf(1023,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ zero ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[68,21]) ).
thf(1024,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false )
| ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[1023]) ).
thf(1025,plain,
( ( ( ( multiplication @ one @ zero )
= zero )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[1023]) ).
thf(1026,plain,
( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[1022:[bind(SV11,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(1027,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ one @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[1022:[bind(SV11,$thf( multiplication @ one @ zero ))]]) ).
thf(1028,plain,
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= one )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[1021:[bind(SV12,$thf( one ))]]) ).
thf(1029,plain,
( ( ( multiplication @ one @ zero )
= ( multiplication @ ( multiplication @ zero @ ( sup @ sK1_X ) ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[1021:[bind(SV12,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(1030,plain,
( ( ( ( multiplication @ one @ zero )
= zero )
= $false )
| ( ( ( sup @ sK1_X )
= one )
= $false ) ),
inference(extuni,[status(esa)],[1021:[bind(SV12,$thf( zero ))]]) ).
thf(1031,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( multiplication @ one @ zero ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[1021:[bind(SV12,$thf( multiplication @ one @ zero ))]]) ).
thf(1032,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= zero )
= $false ),
inference(extuni,[status(esa)],[1020:[bind(SV13,$thf( zero ))]]) ).
thf(1033,plain,
( ( ( multiplication @ one @ zero )
= ( multiplication @ one @ ( multiplication @ zero @ ( sup @ sK1_X ) ) ) )
= $false ),
inference(extuni,[status(esa)],[1020:[bind(SV13,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(1034,plain,
( ( ( ( multiplication @ one @ zero )
= ( sup @ sK1_X ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[1020:[bind(SV13,$thf( sup @ sK1_X ))]]) ).
thf(1035,plain,
( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ one @ ( multiplication @ one @ zero ) ) )
= $false ),
inference(extuni,[status(esa)],[1020:[bind(SV13,$thf( multiplication @ one @ zero ))]]) ).
thf(1036,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1019]) ).
thf(1037,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1019]) ).
thf(1038,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( one
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[1018]) ).
thf(1039,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ one @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1018]) ).
thf(1040,plain,
! [SV16: $i > $o] :
( ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( sK1_X @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[1018:[bind(SV15,$thf( sK1_X ))]]) ).
thf(1041,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( sup @ sK1_X )
= ( sup @ SV15 ) )
= $false )
| ( ( zero
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[1018]) ).
thf(1042,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1018]) ).
thf(1043,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ ( sup @ sK1_X ) ) )
= $false )
| ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ zero @ ( sup @ sK1_X ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1016:[bind(SV27,$thf( multiplication @ zero @ ( sup @ sK1_X ) ))]]) ).
thf(1044,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ one @ zero ) )
= $false )
| ( ( ( multiplication @ zero @ ( sup @ sK1_X ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ one @ zero ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1016:[bind(SV27,$thf( multiplication @ one @ zero ))]]) ).
thf(1045,plain,
( ( ( ( sup @ sK1_X )
= zero )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[68]) ).
thf(1046,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,1045,1044,1043,1042,1041,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1030,1029,1028,1027,1026,1025,1024,1015,1014,1013,1011,1010,1003,995,994,991,990,988,987,959,958,957,950,948,947,946,945,942,941,940,937,936,935,934,931,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,836,835,833,832,825,817,816,813,812,810,809,781,780,779,772,769,768,767,764,761,758,757,756,755,754,753,752,751,750,747,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,713,712,711,710,706,705,703,702,700,699,682,679,676,658,657,650,649,647,646,602,601,600,589,588,585,582,579,576,575,572,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,544,543,541,540,533,525,524,521,520,518,517,489,488,487,480,479,476,473,472,469,466,465,464,463,462,461,460,459,458,457,456,445,444,443,442,441,440,439,438,437,436,435,434,433,432,431,430,306,305,302,299,296,293,292,289,286,285,282,281,280,279,278,277,274,273,264,263,262,261,260,259,258,257,254,253,252,248,243,240,234,231,230,229,227,226,214,213,212,211,210,209,206,205,195,184,183,182,181,177,176,173,172,111,107,106,103,100,97,96,95,92,89,79,78,77,76,75,73,72,71,69,68,67,66,65,64,63,62,61,60,54,53,52,35]) ).
thf(1047,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : QUA012^1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 11:13:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 7
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 1115
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: true
% 0.19/0.35 (rf:0,axioms:7,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)....eprover: CPU time limit exceeded, terminating
% 25.22/25.43 ................................eprover: CPU time limit exceeded, terminating
% 53.13/53.40 .........................................................................................................
% 75.05/75.27 (rf:0,axioms:7,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full).....eprover: CPU time limit exceeded, terminating
% 100.11/100.34 ...............................eprover: CPU time limit exceeded, terminating
% 127.87/128.09 ..........................................................
% 143.61/144.00
% 143.61/144.00 ********************************
% 143.61/144.00 * All subproblems solved! *
% 143.61/144.00 ********************************
% 143.61/144.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:6,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1046,loop_count:20,foatp_calls:3,translation:fof_full)
% 144.31/144.53
% 144.31/144.53 %**** Beginning of derivation protocol ****
% 144.31/144.53 % SZS output start CNFRefutation
% See solution above
% 144.31/144.54
% 144.31/144.54 %**** End of derivation protocol ****
% 144.31/144.54 %**** no. of clauses in derivation: 945 ****
% 144.31/144.54 %**** clause counter: 1046 ****
% 144.31/144.54
% 144.31/144.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:6,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1046,loop_count:20,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------