TSTP Solution File: QUA005^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : QUA005^1 : 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 : n010.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 18:38:15 EDT 2022
% Result : Theorem 147.06s 147.53s
% Output : CNFRefutation 147.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 78
% Syntax : Number of formulae : 804 ( 183 unt; 63 typ; 7 def)
% Number of atoms : 6319 (3932 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 12610 (3353 ~;2016 |; 14 &;7225 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1452 (1452 >; 0 *; 0 +; 0 <<)
% Number of symbols : 66 ( 63 usr; 12 con; 0-4 aty)
% Number of variables : 2391 ( 618 ^1761 !; 12 ?;2391 :)
% 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_SY197,type,
sK10_SY197: $i > ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK11_SY201,type,
sK11_SY201: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK12_SY211,type,
sK12_SY211: ( $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 > $o ) > $o ) > $i ).
thf(tp_sK17_E,type,
sK17_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK18_E,type,
sK18_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK19_E,type,
sK19_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK1_X1,type,
sK1_X1: $i ).
thf(tp_sK20_E,type,
sK20_E: $i > $i > $i ).
thf(tp_sK21_SY213,type,
sK21_SY213: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK22_SY212,type,
sK22_SY212: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK23_SY216,type,
sK23_SY216: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK24_SY214,type,
sK24_SY214: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK25_SY219,type,
sK25_SY219: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK26_SY221,type,
sK26_SY221: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK27_E,type,
sK27_E: $i ).
thf(tp_sK28_E,type,
sK28_E: $i > $i ).
thf(tp_sK29_E,type,
sK29_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK2_E,type,
sK2_E: $i ).
thf(tp_sK30_E,type,
sK30_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK31_E,type,
sK31_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK32_E,type,
sK32_E: $i > $i > $i ).
thf(tp_sK33_SY223,type,
sK33_SY223: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK34_SY222,type,
sK34_SY222: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK35_SY224,type,
sK35_SY224: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK36_SY227,type,
sK36_SY227: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK37_E,type,
sK37_E: $i ).
thf(tp_sK38_E,type,
sK38_E: $i ).
thf(tp_sK39_E,type,
sK39_E: $i ).
thf(tp_sK3_E,type,
sK3_E: $i ).
thf(tp_sK40_E,type,
sK40_E: $i > $i ).
thf(tp_sK41_E,type,
sK41_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK42_E,type,
sK42_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK43_E,type,
sK43_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK44_E,type,
sK44_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK45_E,type,
sK45_E: $i > $i > $i ).
thf(tp_sK46_SY229,type,
sK46_SY229: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK47_SY228,type,
sK47_SY228: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK48_SY232,type,
sK48_SY232: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK49_SY230,type,
sK49_SY230: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: $i > $i > $i ).
thf(tp_sK50_SY235,type,
sK50_SY235: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK51_SY237,type,
sK51_SY237: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: $i > $i > $i > $i ).
thf(tp_sK6_E,type,
sK6_E: ( ( $i > $o ) > $o ) > $i > $i ).
thf(tp_sK7_E,type,
sK7_E: ( ( $i > $o ) > $o ) > $i > $i > $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,
! [X1: $i] :
( ( multiplication @ X1 @ zero )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_anni) ).
thf(9,negated_conjecture,
( ( ! [X1: $i] :
( ( multiplication @ X1 @ zero )
= zero ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [X1: $i] :
( ( multiplication @ X1 @ zero )
= 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,
( ( ! [SY135: $i > $o,SY136: $i > $o] :
( ( multiplication @ ( sup @ SY135 ) @ ( sup @ SY136 ) )
= ( sup
@ ^ [SY141: $i] :
? [SY142: $i,SY143: $i] :
( ( SY135 @ SY142 )
& ( SY136 @ SY143 )
& ( SY141
= ( multiplication @ SY142 @ SY143 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(14,plain,
( ( ! [SY149: $i,SY150: $i] :
( ( leq @ SY149 @ SY150 )
<=> ( ( sup
@ ^ [SY157: $i] :
( ( SY157 = SY149 )
| ( SY157 = SY150 ) ) )
= SY150 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(15,plain,
( ( ! [SY161: ( $i > $o ) > $o] :
( ( sup
@ ^ [SY162: $i] :
? [SY163: $i > $o] :
( ( SY161 @ SY163 )
& ( ( sup @ SY163 )
= SY162 ) ) )
= ( sup
@ ^ [SY164: $i] :
? [SY165: $i > $o] :
( ( SY161 @ SY165 )
& ( SY165 @ SY164 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(16,plain,
( ( ! [SY171: $i] :
( ( sup
@ ^ [SY172: $i] : ( SY172 = SY171 ) )
= SY171 ) )
= $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 @ sK1_X1 @ zero )
= zero )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(19,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
!= zero ) )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [SY149: $i,SY150: $i] :
( ( ( sup
@ ^ [SY157: $i] :
( ( SY157 = SY149 )
| ( SY157 = SY150 ) ) )
!= SY150 )
| ( leq @ SY149 @ SY150 ) )
& ! [SY149: $i,SY150: $i] :
( ~ ( leq @ SY149 @ SY150 )
| ( ( sup
@ ^ [SY157: $i] :
( ( SY157 = SY149 )
| ( SY157 = SY150 ) ) )
= SY150 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(21,plain,
( ( ( sup
@ ^ [X: $i] : $false )
= zero )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(22,plain,
( ( ! [SY171: $i] :
( ( sup
@ ^ [SY172: $i] : ( SY172 = SY171 ) )
= SY171 ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(23,plain,
( ( ! [SY161: ( $i > $o ) > $o] :
( ( sup
@ ^ [SY162: $i] :
? [SY163: $i > $o] :
( ( SY161 @ SY163 )
& ( ( sup @ SY163 )
= SY162 ) ) )
= ( sup
@ ^ [SY164: $i] :
? [SY165: $i > $o] :
( ( SY161 @ SY165 )
& ( SY165 @ SY164 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(24,plain,
( ( ! [SY149: $i,SY150: $i] :
( ( ( sup
@ ^ [SY157: $i] :
( ( SY157 = SY149 )
| ( SY157 = SY150 ) ) )
!= SY150 )
| ( leq @ SY149 @ SY150 ) )
& ! [SY149: $i,SY150: $i] :
( ~ ( leq @ SY149 @ SY150 )
| ( ( sup
@ ^ [SY157: $i] :
( ( SY157 = SY149 )
| ( SY157 = SY150 ) ) )
= SY150 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(25,plain,
( ( ! [SY135: $i > $o,SY136: $i > $o] :
( ( multiplication @ ( sup @ SY135 ) @ ( sup @ SY136 ) )
= ( sup
@ ^ [SY141: $i] :
? [SY142: $i,SY143: $i] :
( ( SY135 @ SY142 )
& ( SY136 @ SY143 )
& ( SY141
= ( multiplication @ SY142 @ SY143 ) ) ) ) ) )
= $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 @ sK1_X1 @ zero )
!= 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
@ ^ [SY176: $i] : ( SY176 = 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 @ sK1_X1 @ zero )
= 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] :
( ( ! [SY177: $i > $o] :
( ( multiplication @ ( sup @ SV4 ) @ ( sup @ SY177 ) )
= ( sup
@ ^ [SY178: $i] :
~ ! [SY179: $i] :
~ ~ ! [SY180: $i] :
~ ~ ( ~ ~ ( ~ ( SV4 @ SY179 )
| ~ ( SY177 @ SY180 ) )
| ( SY178
!= ( multiplication @ SY179 @ SY180 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV5: ( $i > $o ) > $o] :
( ( ( sup
@ ^ [SY181: $i] :
~ ! [SY182: $i > $o] :
~ ~ ( ~ ( SV5 @ SY182 )
| ( ( sup @ SY182 )
!= SY181 ) ) )
= ( sup
@ ^ [SY183: $i] :
~ ! [SY184: $i > $o] :
~ ~ ( ~ ( SV5 @ SY184 )
| ~ ( SY184 @ SY183 ) ) ) )
= $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
@ ^ [SY185: $i] :
~ ! [SY186: $i] :
~ ~ ! [SY187: $i] :
~ ~ ( ~ ~ ( ~ ( SV4 @ SY186 )
| ~ ( SV6 @ SY187 ) )
| ( SY185
!= ( multiplication @ SY186 @ SY187 ) ) ) ) )
= $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] :
( ( ! [SY188: $i] :
( ( ( sup
@ ^ [SY189: $i] :
( ( SY189 = SV7 )
| ( SY189 = SY188 ) ) )
!= SY188 )
| ( leq @ SV7 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV8: $i] :
( ( ! [SY190: $i] :
( ~ ( leq @ SV8 @ SY190 )
| ( ( sup
@ ^ [SY191: $i] :
( ( SY191 = SV8 )
| ( SY191 = SY190 ) ) )
= SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( sup
@ ^ [SY192: $i] :
( ( SY192 = SV7 )
| ( SY192 = SV9 ) ) )
!= SV9 )
| ( leq @ SV7 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV10: $i,SV8: $i] :
( ( ~ ( leq @ SV8 @ SV10 )
| ( ( sup
@ ^ [SY193: $i] :
( ( SY193 = SV8 )
| ( SY193 = SV10 ) ) )
= SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( ( sup
@ ^ [SY192: $i] :
( ( SY192 = SV7 )
| ( SY192 = 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
@ ^ [SY193: $i] :
( ( SY193 = SV8 )
| ( SY193 = SV10 ) ) )
= SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( sup
@ ^ [SY192: $i] :
( ( SY192 = SV7 )
| ( SY192 = 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
@ ^ [SY193: $i] :
( ( SY193 = SV8 )
| ( SY193 = 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 @ sK1_X1 @ zero )
= zero )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[35,54]) ).
thf(56,plain,
! [SV12: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[35,53]) ).
thf(57,plain,
! [SV11: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[35,52]) ).
thf(58,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[35,21]) ).
thf(60,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[58]) ).
thf(61,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[57:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(62,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[57:[bind(SV11,$thf( zero ))]]) ).
thf(63,plain,
( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(64,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(65,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( zero ))]]) ).
thf(66,plain,
( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= $false ),
inference(extuni,[status(esa)],[55:[bind(SV13,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(67,plain,
( ( sK1_X1 = one )
= $false ),
inference(extuni,[status(esa)],[55:[bind(SV13,$thf( zero ))]]) ).
thf(68,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( 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 @ sK1_X1 @ zero )
= 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 @ sK1_X1 @ zero ) )
= $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 @ sK1_X1 @ zero ) )
= $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 @ sK1_X1 @ zero )
= 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 @ sK1_X1 @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[74]) ).
thf(76,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 )
= zero )
= $false )
| ( ( ( sup @ SV16 )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[74]) ).
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 )
| ( ( ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) )
= ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[74]) ).
thf(78,plain,
! [SV17: $i,SV18: $i] :
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV17 ) ) )
= SV17 )
= $false )
| ( ( leq @ SV18 @ SV17 )
= $true ) ),
inference(rename,[status(thm)],[50]) ).
thf(81,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)],[78,73]) ).
thf(82,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)],[78,69]) ).
thf(83,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)],[78,54]) ).
thf(84,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)],[78,53]) ).
thf(85,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)],[78,52]) ).
thf(87,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)],[78,21]) ).
thf(88,plain,
! [SV18: $i] :
( ( ( leq @ SV18
@ ( sup
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0
= ( sup
@ ^ [SX1: $i] : $false ) ) ) )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[87:[bind(SV17,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(89,plain,
! [SV18: $i] :
( ( ( leq @ SV18 @ zero )
= $true )
| ( ( ( ( sK4_E @ zero @ SV18 )
= SV18 )
| ( ( sK4_E @ zero @ SV18 )
= zero ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[87:[bind(SV17,$thf( zero ))]]) ).
thf(91,plain,
! [SV18: $i] :
( ( ( leq @ SV18 @ zero )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = zero ) ) )
= ( sup
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[87:[bind(SV17,$thf( zero ))]]) ).
thf(92,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 )
= $true ) ),
inference(extuni,[status(esa)],[85:[bind(SV17,$thf( SV11 ))]]) ).
thf(93,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 )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV17,$thf( SV11 ))]]) ).
thf(94,plain,
! [SV11: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV11 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV11 ) ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV17,$thf( SV11 ))]]) ).
thf(95,plain,
! [SV12: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV12 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV12 ) ) )
= ( multiplication @ SV12 @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[84:[bind(SV17,$thf( SV12 ))]]) ).
thf(96,plain,
! [SV13: $i,SV18: $i] :
( ( ( leq @ SV18 @ SV13 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV18 )
| ( SX0 = SV13 ) ) )
= ( multiplication @ one @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV17,$thf( SV13 ))]]) ).
thf(97,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 )
| ( ( ~ ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ( ( sup @ SX1 ) != SX0 ) ) ) ) ))]]) ).
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 ) ) ) ) )
= $false )
| ( ( ~ ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$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 )
| ( ( ( 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 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$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 )
| ~ ( 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 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ~ ( 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 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV14 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK7_E @ SV14
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV14 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV18 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$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 )
| ( ( ( 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 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV14 @ SX1 ) | ~ ( SX1 @ SX0 ) ) ) ) ))]]) ).
thf(103,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 )
| ( ( ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[81:[bind(SV17,$thf( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ))]]) ).
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 ) ) ) )
= $false )
| ( ( ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[81:[bind(SV17,$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 )
| ( ( ( 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 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[81:[bind(SV17,$thf( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ))]]) ).
thf(106,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 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[81:[bind(SV17,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV16 @ SX1 ) | ~ ( SV15 @ SX2 ) ) ) | ( SX0 != ( multiplication @ SX1 @ SX2 ) ) ) ) ) ) ) ))]]) ).
thf(109,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)],[89]) ).
thf(110,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)],[93]) ).
thf(111,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)],[93]) ).
thf(112,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)],[92]) ).
thf(113,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)],[101]) ).
thf(114,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)],[101]) ).
thf(115,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)],[100]) ).
thf(116,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 )
| ( ( ~ ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(117,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 )
| ( ( ~ ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(118,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 )
| ( ( ~ ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( sK6_E @ SV14 @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(119,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(120,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 )
| ( ( ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(121,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 )
| ( ( ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(122,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)],[113]) ).
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 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $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 ) ) ) )
= $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)],[115]) ).
thf(125,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( 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)],[116]) ).
thf(126,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( 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)],[117]) ).
thf(127,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ! [SY197: $i > $o] :
~ ~ ( ~ ( SV14 @ SY197 )
| ~ ( SY197 @ ( 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)],[118]) ).
thf(128,plain,
! [SV18: $i,SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(129,plain,
! [SV18: $i,SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $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)],[120]) ).
thf(130,plain,
! [SV18: $i,SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY201 )
| ~ ( SV15 @ SY202 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SY201 @ SY202 ) ) ) )
= $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)],[121]) ).
thf(131,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)],[122]) ).
thf(132,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)],[123]) ).
thf(133,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)],[124]) ).
thf(134,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)],[125]) ).
thf(135,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)],[126]) ).
thf(136,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK10_SY197 @ SV18 @ SV14 ) )
| ~ ( sK10_SY197 @ 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)],[127]) ).
thf(137,plain,
! [SV18: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY209: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SY209 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SY209 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(138,plain,
! [SV18: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY210: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SY210 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SY210 ) ) ) )
= $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)],[129]) ).
thf(139,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY211: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY211 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ SY211 ) ) ) )
= $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)],[130]) ).
thf(140,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)],[131]) ).
thf(141,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)],[132]) ).
thf(142,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)],[133]) ).
thf(143,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)],[134]) ).
thf(144,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)],[135]) ).
thf(145,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK10_SY197 @ SV18 @ SV14 ) )
| ~ ( sK10_SY197 @ 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)],[136]) ).
thf(146,plain,
! [SV18: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ~ ! [SY209: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SY209 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SY209 ) ) ) )
= $false )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV18: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ~ ! [SY210: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SY210 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SY210 ) ) ) )
= $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)],[138]) ).
thf(148,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ! [SY211: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY211 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ SY211 ) ) ) )
= $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)],[139]) ).
thf(149,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)],[140]) ).
thf(150,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)],[141]) ).
thf(151,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)],[142]) ).
thf(152,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)],[143]) ).
thf(153,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)],[144]) ).
thf(154,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK10_SY197 @ SV18 @ SV14 ) )
| ~ ( sK10_SY197 @ 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)],[145]) ).
thf(155,plain,
! [SV18: $i,SV15: $i > $o,SV23: $i,SV16: $i > $o] :
( ( ( ! [SY209: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV23 )
| ~ ( SV15 @ SY209 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV23 @ SY209 ) ) ) )
= $true )
| ( ( leq @ SV18 @ ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $true )
| ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(156,plain,
! [SV18: $i,SV15: $i > $o,SV24: $i,SV16: $i > $o] :
( ( ( ! [SY210: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV24 )
| ~ ( SV15 @ SY210 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ SV24 @ SY210 ) ) ) )
= $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)],[147]) ).
thf(157,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ! [SY211: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY211 ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ SY211 ) ) ) )
= $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)],[148]) ).
thf(158,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)],[149]) ).
thf(159,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)],[150]) ).
thf(160,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)],[151]) ).
thf(161,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)],[151]) ).
thf(162,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)],[152]) ).
thf(163,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)],[153]) ).
thf(164,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK10_SY197 @ 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)],[154]) ).
thf(165,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( ~ ( sK10_SY197 @ 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)],[154]) ).
thf(166,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)],[155]) ).
thf(167,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)],[156]) ).
thf(168,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY211 @ SV15 @ SV18 @ SV16 ) ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY211 @ 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)],[157]) ).
thf(169,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)],[158]) ).
thf(170,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)],[159]) ).
thf(171,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)],[160]) ).
thf(172,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)],[161]) ).
thf(173,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)],[162]) ).
thf(174,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)],[163]) ).
thf(175,plain,
! [SV18: $i,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK10_SY197 @ 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)],[164]) ).
thf(176,plain,
! [SV14: ( $i > $o ) > $o,SV18: $i] :
( ( ( sK10_SY197 @ 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)],[165]) ).
thf(177,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)],[166]) ).
thf(178,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)],[167]) ).
thf(179,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY211 @ SV15 @ SV18 @ SV16 ) ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY211 @ 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)],[168]) ).
thf(180,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)],[169]) ).
thf(181,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)],[170]) ).
thf(182,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)],[173]) ).
thf(183,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)],[174]) ).
thf(184,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)],[177]) ).
thf(185,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)],[178]) ).
thf(186,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY211 @ SV15 @ SV18 @ SV16 ) ) )
| ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY211 @ 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)],[179]) ).
thf(187,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)],[184]) ).
thf(188,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)],[185]) ).
thf(189,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY211 @ 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)],[186]) ).
thf(190,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
!= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY211 @ 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)],[186]) ).
thf(191,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)],[187]) ).
thf(192,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)],[188]) ).
thf(193,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY211 @ 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)],[189]) ).
thf(194,plain,
! [SV18: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK8_E @ SV15 @ SV16 @ SV18 )
= ( multiplication @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) @ ( sK12_SY211 @ 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,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)],[191]) ).
thf(196,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)],[192]) ).
thf(197,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK11_SY201 @ SV18 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK12_SY211 @ 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)],[193]) ).
thf(198,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)],[195]) ).
thf(199,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)],[196]) ).
thf(200,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK11_SY201 @ 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)],[197]) ).
thf(201,plain,
! [SV16: $i > $o,SV18: $i,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK12_SY211 @ 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)],[197]) ).
thf(202,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)],[198]) ).
thf(203,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)],[199]) ).
thf(204,plain,
! [SV15: $i > $o,SV18: $i,SV16: $i > $o] :
( ( ( SV16 @ ( sK11_SY201 @ 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)],[200]) ).
thf(205,plain,
! [SV16: $i > $o,SV18: $i,SV15: $i > $o] :
( ( ( SV15 @ ( sK12_SY211 @ 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)],[201]) ).
thf(206,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)],[202]) ).
thf(207,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)],[203]) ).
thf(208,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)],[206]) ).
thf(209,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)],[207]) ).
thf(210,plain,
! [SV18: $i] :
( ( ( ( sK4_E @ zero @ SV18 )
= SV18 )
= $true )
| ( ( ( sK4_E @ zero @ SV18 )
= zero )
= $true )
| ( ( leq @ SV18 @ zero )
= $true ) ),
inference(sim,[status(thm)],[109]) ).
thf(211,plain,
! [SV18: $i,SV11: $i] :
( ( ( ( sK5_E @ SV11 @ SV11 @ SV18 )
= SV11 )
= $false )
| ( ( leq @ SV18 @ SV11 )
= $true ) ),
inference(sim,[status(thm)],[111]) ).
thf(212,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)],[112]) ).
thf(213,plain,
! [SV27: $i,SV28: $i] :
( ( ( leq @ SV28 @ SV27 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 )
= $true ) ),
inference(rename,[status(thm)],[51]) ).
thf(217,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)],[213,78]) ).
thf(223,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 )
= ( ( multiplication @ sK1_X1 @ zero )
= zero ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[213,35]) ).
thf(225,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[223:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(226,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) )
= ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[223:[bind(SV27,$thf( zero ))]]) ).
thf(228,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 )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV18,$thf( SV17 )),bind(SV27,$thf( SV17 ))]]) ).
thf(229,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 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV18,$thf( SV17 )),bind(SV27,$thf( SV17 ))]]) ).
thf(230,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 )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$thf( SV17 )),bind(SV28,$thf( SV17 ))]]) ).
thf(231,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 )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$thf( SV17 ))]]) ).
thf(233,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 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$thf( SV17 )),bind(SV28,$thf( SV17 ))]]) ).
thf(235,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 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$thf( SV17 ))]]) ).
thf(239,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 )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$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 )
= 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 )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$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 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $true )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$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 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$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 )
= 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 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$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 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV28 )
= $false )
| ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$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 )
= SV28 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $true )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $true ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$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 ) )
= $false )
| ( ( ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV18 )
| ( ( sK14_E @ SV17 @ SV18 @ SV17 @ SV28 )
= SV17 ) )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$thf( SV17 ))]]) ).
thf(247,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 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV27,$thf( SV17 ))]]) ).
thf(248,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)],[246]) ).
thf(249,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)],[246]) ).
thf(250,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)],[245]) ).
thf(251,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)],[248]) ).
thf(252,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)],[248]) ).
thf(253,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)],[249]) ).
thf(254,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)],[249]) ).
thf(255,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)],[250]) ).
thf(256,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)],[254]) ).
thf(257,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)],[255]) ).
thf(258,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)],[244]) ).
thf(259,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)],[243]) ).
thf(260,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)],[241]) ).
thf(261,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)],[240]) ).
thf(262,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)],[235]) ).
thf(263,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)],[231]) ).
thf(264,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[60,213]) ).
thf(266,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(267,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(268,plain,
! [SV13: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[60,54]) ).
thf(269,plain,
! [SV12: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[60,53]) ).
thf(270,plain,
! [SV11: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[60,52]) ).
thf(271,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[60,21]) ).
thf(272,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false ),
inference(extuni,[status(esa)],[271]) ).
thf(273,plain,
( ( ( ( sup
@ ^ [X: $i] : $false )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[271]) ).
thf(274,plain,
( ( $false = $true )
| ( ( ( sK15_E @ ( multiplication @ sK1_X1 @ zero ) )
= ( multiplication @ sK1_X1 @ zero ) )
= $true ) ),
inference(extuni,[status(esa)],[270:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(276,plain,
( ( ( sup
@ ^ [SX0: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[270:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(277,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup
@ ^ [SX1: $i] : $false ) ) ) )
= $false ),
inference(extuni,[status(esa)],[270:[bind(SV11,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(278,plain,
( ( ( sup
@ ^ [SX0: $i] : $false )
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[269:[bind(SV12,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(279,plain,
( ( ( ( sup
@ ^ [SX0: $i] : $false )
= sK1_X1 )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[269:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(280,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication
@ ( sup
@ ^ [SX0: $i] : $false )
@ one ) )
= $false ),
inference(extuni,[status(esa)],[269:[bind(SV12,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(281,plain,
( ( ( sup
@ ^ [SX0: $i] : $false )
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= $false ),
inference(extuni,[status(esa)],[268:[bind(SV13,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(282,plain,
( ( ( ( sup
@ ^ [SX0: $i] : $false )
= zero )
= $false )
| ( ( sK1_X1 = one )
= $false ) ),
inference(extuni,[status(esa)],[268:[bind(SV13,$thf( zero ))]]) ).
thf(283,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one
@ ( sup
@ ^ [SX0: $i] : $false ) ) )
= $false ),
inference(extuni,[status(esa)],[268:[bind(SV13,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(284,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ~ ! [SY212: $i > $o] :
~ ~ ( ~ ( SV14 @ SY212 )
| ( ( sup @ SY212 )
!= ( sK16_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[267]) ).
thf(286,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[267]) ).
thf(287,plain,
! [SV14: ( $i > $o ) > $o] :
( ( $false = $true )
| ( ( ~ ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK17_E @ SV14 ) ) ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(289,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [X: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[267]) ).
thf(290,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[266]) ).
thf(291,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( $false = $true )
| ( ( ~ ! [SY214: $i] :
~ ~ ! [SY215: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY214 )
| ~ ( SV15 @ SY215 ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ SY214 @ SY215 ) ) ) )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[266]) ).
thf(293,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 )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[266]) ).
thf(294,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( $false = $true )
| ( ( ~ ! [SY216: $i] :
~ ~ ! [SY217: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY216 )
| ~ ( SV15 @ SY217 ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ SY216 @ SY217 ) ) ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[266]) ).
thf(296,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 @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[266]) ).
thf(297,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( $false = $true )
| ( ( ( ( sK20_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= SV28 )
| ( ( sK20_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) ) )
= $true ) ),
inference(extuni,[status(esa)],[264:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(299,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : $false )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[264:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(300,plain,
! [SV28: $i] :
( ( ( leq @ SV28
@ ( sup
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[264:[bind(SV27,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(302,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY213: $i > $o] :
~ ~ ( ~ ( SV14 @ SY213 )
| ~ ( SY213 @ ( sK17_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(304,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY212: $i > $o] :
~ ~ ( ~ ( SV14 @ SY212 )
| ( ( sup @ SY212 )
!= ( sK16_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(306,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY216: $i] :
~ ~ ! [SY217: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY216 )
| ~ ( SV15 @ SY217 ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ SY216 @ SY217 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(308,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY214: $i] :
~ ~ ! [SY215: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY214 )
| ~ ( SV15 @ SY215 ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ SY214 @ SY215 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(311,plain,
! [SV28: $i] :
( ( ( ( sK20_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= SV28 )
= $true )
| ( ( ( sK20_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( $false = $true )
| ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(313,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK21_SY213 @ SV14 ) )
| ~ ( sK21_SY213 @ SV14 @ ( sK17_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[302]) ).
thf(315,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK22_SY212 @ SV14 ) )
| ( ( sup @ ( sK22_SY212 @ SV14 ) )
!= ( sK16_E @ SV14 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[304]) ).
thf(317,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY219: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY219 ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ SY219 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(319,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY221: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY221 ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ SY221 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[308]) ).
thf(321,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK21_SY213 @ SV14 ) )
| ~ ( sK21_SY213 @ SV14 @ ( sK17_E @ SV14 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(323,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK22_SY212 @ SV14 ) )
| ( ( sup @ ( sK22_SY212 @ SV14 ) )
!= ( sK16_E @ SV14 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(325,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY219: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY219 ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ SY219 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(327,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY221: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY221 ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ SY221 ) ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(329,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK21_SY213 @ SV14 ) )
| ~ ( sK21_SY213 @ SV14 @ ( sK17_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(331,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK22_SY212 @ SV14 ) )
| ( ( sup @ ( sK22_SY212 @ SV14 ) )
!= ( sK16_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(333,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY219: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY219 ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ SY219 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(335,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY221: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY221 ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ SY221 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(337,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK21_SY213 @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(338,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK21_SY213 @ SV14 @ ( sK17_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(340,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK22_SY212 @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(341,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK22_SY212 @ SV14 ) )
!= ( sK16_E @ SV14 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(343,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ ( sK25_SY219 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[333]) ).
thf(345,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ ( sK26_SY221 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[335]) ).
thf(347,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK21_SY213 @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(348,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK21_SY213 @ SV14 @ ( sK17_E @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(350,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK22_SY212 @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(351,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK22_SY212 @ SV14 ) )
= ( sK16_E @ SV14 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(353,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ ( sK25_SY219 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(355,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ ( sK26_SY221 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(359,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) ) )
| ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ ( sK25_SY219 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(361,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) ) )
| ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ ( sK26_SY221 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(363,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(364,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK19_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ ( sK25_SY219 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(366,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(367,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK18_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ ( sK26_SY221 @ SV15 @ SV16 ) ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(369,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(370,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK19_E @ SV15 @ SV16 )
= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ ( sK25_SY219 @ SV15 @ SV16 ) ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(372,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(373,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK18_E @ SV15 @ SV16 )
= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ ( sK26_SY221 @ SV15 @ SV16 ) ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(375,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(377,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(379,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(380,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[375]) ).
thf(382,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(383,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) ) )
= $false )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(385,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(386,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(388,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(389,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) )
= $true )
| ( $false = $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(394,plain,
( ( ( sK15_E @ ( multiplication @ sK1_X1 @ zero ) )
= ( multiplication @ sK1_X1 @ zero ) )
= $true ),
inference(sim,[status(thm)],[274]) ).
thf(395,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK21_SY213 @ SV14 ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[347]) ).
thf(396,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK21_SY213 @ SV14 @ ( sK17_E @ SV14 ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[348]) ).
thf(397,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK22_SY212 @ SV14 ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[350]) ).
thf(398,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK22_SY212 @ SV14 ) )
= ( sK16_E @ SV14 ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[351]) ).
thf(399,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK23_SY216 @ SV15 @ SV16 ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(sim,[status(thm)],[385]) ).
thf(400,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK25_SY219 @ SV15 @ SV16 ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(sim,[status(thm)],[386]) ).
thf(401,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK19_E @ SV15 @ SV16 )
= ( multiplication @ ( sK23_SY216 @ SV15 @ SV16 ) @ ( sK25_SY219 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(sim,[status(thm)],[370]) ).
thf(402,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK24_SY214 @ SV15 @ SV16 ) )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[388]) ).
thf(403,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK26_SY221 @ SV15 @ SV16 ) )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[389]) ).
thf(404,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK18_E @ SV15 @ SV16 )
= ( multiplication @ ( sK24_SY214 @ SV15 @ SV16 ) @ ( sK26_SY221 @ SV15 @ SV16 ) ) )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(sim,[status(thm)],[373]) ).
thf(405,plain,
! [SV28: $i] :
( ( ( ( sK20_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= SV28 )
= $true )
| ( ( ( sK20_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(sim,[status(thm)],[311]) ).
thf(406,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[61,213]) ).
thf(408,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ 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)],[61,73]) ).
thf(409,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ 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)],[61,69]) ).
thf(410,plain,
! [SV13: $i] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[61,54]) ).
thf(411,plain,
! [SV12: $i] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[61,53]) ).
thf(412,plain,
! [SV11: $i] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[61,52]) ).
thf(413,plain,
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[61,21]) ).
thf(414,plain,
( ( ( sK27_E
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[413]) ).
thf(416,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[413]) ).
thf(417,plain,
( ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[413]) ).
thf(418,plain,
( ( zero
= ( multiplication @ sK1_X1 @ zero ) )
= $false ),
inference(extuni,[status(esa)],[412:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(419,plain,
( ( ( ( sK28_E @ zero )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( ( sK28_E @ zero )
= zero )
= $true ) ),
inference(extuni,[status(esa)],[412:[bind(SV11,$thf( zero ))]]) ).
thf(420,plain,
( ( ( ( sK28_E @ zero )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( sK28_E @ zero )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[412:[bind(SV11,$thf( zero ))]]) ).
thf(421,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[412:[bind(SV11,$thf( zero ))]]) ).
thf(422,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup
@ ^ [SX1: $i] :
( SX1
= ( multiplication @ sK1_X1 @ zero ) ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[412:[bind(SV11,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ sK1_X1 @ zero ) ) ))]]) ).
thf(423,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[411:[bind(SV12,$thf( zero ))]]) ).
thf(424,plain,
( ( zero
= ( multiplication
@ ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
@ one ) )
= $false ),
inference(extuni,[status(esa)],[411:[bind(SV12,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ sK1_X1 @ zero ) ) ))]]) ).
thf(425,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( multiplication @ one @ zero ) )
= $false ),
inference(extuni,[status(esa)],[410:[bind(SV13,$thf( zero ))]]) ).
thf(426,plain,
( ( zero
= ( multiplication @ one
@ ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[410:[bind(SV13,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ sK1_X1 @ zero ) ) ))]]) ).
thf(427,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( ~ ! [SY222: $i > $o] :
~ ~ ( ~ ( SV14 @ SY222 )
| ( ( sup @ SY222 )
!= ( sK29_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[409]) ).
thf(428,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ~ ! [SY222: $i > $o] :
~ ~ ( ~ ( SV14 @ SY222 )
| ( ( sup @ SY222 )
!= ( sK29_E @ SV14 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[409]) ).
thf(429,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[409]) ).
thf(430,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( ~ ! [SY223: $i > $o] :
~ ~ ( ~ ( SV14 @ SY223 )
| ~ ( SY223 @ ( sK30_E @ SV14 ) ) ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[409]) ).
thf(431,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ~ ! [SY223: $i > $o] :
~ ~ ( ~ ( SV14 @ SY223 )
| ~ ( SY223 @ ( sK30_E @ SV14 ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[409]) ).
thf(432,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( 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)],[409]) ).
thf(433,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 @ sK1_X1 @ zero ) ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[408]) ).
thf(434,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( ~ ! [SY224: $i] :
~ ~ ! [SY225: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY224 )
| ~ ( SV15 @ SY225 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SY224 @ SY225 ) ) ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[408]) ).
thf(435,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ~ ! [SY224: $i] :
~ ~ ! [SY225: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY224 )
| ~ ( SV15 @ SY225 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SY224 @ SY225 ) ) ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[408]) ).
thf(436,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( 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)],[408]) ).
thf(437,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sK32_E @ zero @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( ( ( sK32_E @ zero @ SV28 )
= SV28 )
| ( ( sK32_E @ zero @ SV28 )
= zero ) )
= $true ) ),
inference(extuni,[status(esa)],[406:[bind(SV27,$thf( zero ))]]) ).
thf(438,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sK32_E @ zero @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( ( sK32_E @ zero @ SV28 )
= SV28 )
| ( ( sK32_E @ zero @ SV28 )
= zero ) )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV27,$thf( zero ))]]) ).
thf(439,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV27,$thf( zero ))]]) ).
thf(440,plain,
! [SV28: $i] :
( ( ( leq @ SV28
@ ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
( SX1
= ( multiplication @ sK1_X1 @ zero ) ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[406:[bind(SV27,$thf( sup @ ^ [SX0: $i] : ( SX0 = ( multiplication @ sK1_X1 @ zero ) ) ))]]) ).
thf(441,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY223: $i > $o] :
~ ~ ( ~ ( SV14 @ SY223 )
| ~ ( SY223 @ ( sK30_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(442,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY223: $i > $o] :
~ ~ ( ~ ( SV14 @ SY223 )
| ~ ( SY223 @ ( sK30_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(443,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY222: $i > $o] :
~ ~ ( ~ ( SV14 @ SY222 )
| ( ( sup @ SY222 )
!= ( sK29_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(444,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY222: $i > $o] :
~ ~ ( ~ ( SV14 @ SY222 )
| ( ( sup @ SY222 )
!= ( sK29_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(445,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY224: $i] :
~ ~ ! [SY225: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY224 )
| ~ ( SV15 @ SY225 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SY224 @ SY225 ) ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(446,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY224: $i] :
~ ~ ! [SY225: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY224 )
| ~ ( SV15 @ SY225 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SY224 @ SY225 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(447,plain,
! [SV28: $i] :
( ( ( ( sK32_E @ zero @ SV28 )
= SV28 )
= $false )
| ( ( ( sK32_E @ zero @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(448,plain,
! [SV28: $i] :
( ( ( ( sK32_E @ zero @ SV28 )
= zero )
= $false )
| ( ( ( sK32_E @ zero @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(449,plain,
! [SV28: $i] :
( ( ( ( sK32_E @ zero @ SV28 )
= SV28 )
= $true )
| ( ( ( sK32_E @ zero @ SV28 )
= zero )
= $true )
| ( ( ( sK32_E @ zero @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( leq @ SV28 @ zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(450,plain,
! [SV35: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV35 )
| ~ ( SV35 @ ( sK30_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(451,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK33_SY223 @ SV14 ) )
| ~ ( sK33_SY223 @ SV14 @ ( sK30_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[442]) ).
thf(452,plain,
! [SV36: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV36 )
| ( ( sup @ SV36 )
!= ( sK29_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(453,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK34_SY222 @ SV14 ) )
| ( ( sup @ ( sK34_SY222 @ SV14 ) )
!= ( sK29_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[444]) ).
thf(454,plain,
! [SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY226: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SY226 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SY226 ) ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(455,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY227: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY227 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ SY227 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[446]) ).
thf(456,plain,
! [SV35: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV35 )
| ~ ( SV35 @ ( sK30_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(457,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK33_SY223 @ SV14 ) )
| ~ ( sK33_SY223 @ SV14 @ ( sK30_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(458,plain,
! [SV36: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV36 )
| ( ( sup @ SV36 )
!= ( sK29_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(459,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK34_SY222 @ SV14 ) )
| ( ( sup @ ( sK34_SY222 @ SV14 ) )
!= ( sK29_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(460,plain,
! [SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ! [SY226: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SY226 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SY226 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(461,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY227: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY227 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ SY227 ) ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(462,plain,
! [SV35: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV35 )
| ~ ( SV35 @ ( sK30_E @ SV14 ) ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(463,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK33_SY223 @ SV14 ) )
| ~ ( sK33_SY223 @ SV14 @ ( sK30_E @ SV14 ) ) )
= $false )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(464,plain,
! [SV36: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV36 )
| ( ( sup @ SV36 )
!= ( sK29_E @ SV14 ) ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(465,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK34_SY222 @ SV14 ) )
| ( ( sup @ ( sK34_SY222 @ SV14 ) )
!= ( sK29_E @ SV14 ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(466,plain,
! [SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ! [SY226: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SY226 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SY226 ) ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(467,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY227: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY227 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ SY227 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(468,plain,
! [SV35: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV35 ) )
= $true )
| ( ( ~ ( SV35 @ ( sK30_E @ SV14 ) ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(469,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK33_SY223 @ SV14 ) ) )
= $false )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(470,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK33_SY223 @ SV14 @ ( sK30_E @ SV14 ) ) )
= $false )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(471,plain,
! [SV36: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV36 ) )
= $true )
| ( ( ( ( sup @ SV36 )
!= ( sK29_E @ SV14 ) ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(472,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK34_SY222 @ SV14 ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(473,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK34_SY222 @ SV14 ) )
!= ( sK29_E @ SV14 ) ) )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(474,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SV38 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(475,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ ( sK36_SY227 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[467]) ).
thf(476,plain,
! [SV35: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV35 )
= $false )
| ( ( ~ ( SV35 @ ( sK30_E @ SV14 ) ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(477,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK33_SY223 @ SV14 ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(478,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK33_SY223 @ SV14 @ ( sK30_E @ SV14 ) )
= $true )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(479,plain,
! [SV36: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV36 )
= $false )
| ( ( ( ( sup @ SV36 )
!= ( sK29_E @ SV14 ) ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(480,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK34_SY222 @ SV14 ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(481,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK34_SY222 @ SV14 ) )
= ( sK29_E @ SV14 ) )
= $true )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(482,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SV38 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(483,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ ( sK36_SY227 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(484,plain,
! [SV14: ( $i > $o ) > $o,SV35: $i > $o] :
( ( ( SV35 @ ( sK30_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV35 )
= $false )
| ( ( ( sK30_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(485,plain,
! [SV14: ( $i > $o ) > $o,SV36: $i > $o] :
( ( ( ( sup @ SV36 )
= ( sK29_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV36 )
= $false )
| ( ( ( sK29_E @ SV14 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(486,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SV38 ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(487,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) ) )
| ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ ( sK36_SY227 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(488,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SV38 ) ) )
= $true )
| ( ( ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(489,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(490,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ ( sK36_SY227 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(491,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SV38 ) ) )
= $false )
| ( ( ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(492,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(493,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ ( sK35_SY224 @ SV15 @ SV16 ) @ ( sK36_SY227 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(494,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV37 )
| ~ ( SV15 @ SV38 ) )
= $true )
| ( ( ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(495,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(496,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV37 ) )
= $true )
| ( ( ~ ( SV15 @ SV38 ) )
= $true )
| ( ( ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(497,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(498,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(499,plain,
! [SV38: $i,SV15: $i > $o,SV37: $i,SV16: $i > $o] :
( ( ( SV16 @ SV37 )
= $false )
| ( ( ~ ( SV15 @ SV38 ) )
= $true )
| ( ( ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(500,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK35_SY224 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(501,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK36_SY227 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(502,plain,
! [SV37: $i,SV16: $i > $o,SV38: $i,SV15: $i > $o] :
( ( ( SV15 @ SV38 )
= $false )
| ( ( SV16 @ SV37 )
= $false )
| ( ( ( ( sK31_E @ SV15 @ SV16 )
!= ( multiplication @ SV37 @ SV38 ) ) )
= $true )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(503,plain,
! [SV38: $i,SV37: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ SV37 @ SV38 ) )
= $false )
| ( ( SV16 @ SV37 )
= $false )
| ( ( SV15 @ SV38 )
= $false )
| ( ( ( sK31_E @ SV15 @ SV16 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( zero
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(504,plain,
( ( sK27_E
= ( multiplication @ sK1_X1 @ zero ) )
= $true ),
inference(sim,[status(thm)],[414]) ).
thf(505,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[62,213]) ).
thf(507,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(508,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(509,plain,
! [SV13: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[62,54]) ).
thf(510,plain,
! [SV12: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[62,53]) ).
thf(511,plain,
! [SV11: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[62,52]) ).
thf(512,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[62,21]) ).
thf(513,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false )
| ( ( sK39_E = zero )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[512]) ).
thf(515,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[512]) ).
thf(516,plain,
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[512]) ).
thf(517,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false ),
inference(extuni,[status(esa)],[511:[bind(SV11,$thf( zero ))]]) ).
thf(518,plain,
( ( ( ( sK40_E @ ( multiplication @ sK1_X1 @ zero ) )
= zero )
= $true )
| ( ( ( sK40_E @ ( multiplication @ sK1_X1 @ zero ) )
= ( multiplication @ sK1_X1 @ zero ) )
= $true ) ),
inference(extuni,[status(esa)],[511:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(519,plain,
( ( ( ( sK40_E @ ( multiplication @ sK1_X1 @ zero ) )
= zero )
= $false )
| ( ( ( sK40_E @ ( multiplication @ sK1_X1 @ zero ) )
= ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[511:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(520,plain,
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[511:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(521,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup
@ ^ [SX1: $i] : ( SX1 = zero ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[511:[bind(SV11,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(522,plain,
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[510:[bind(SV12,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(523,plain,
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= sK1_X1 )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[510:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(524,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication
@ ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
@ one ) )
= $false ),
inference(extuni,[status(esa)],[510:[bind(SV12,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(525,plain,
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= $false ),
inference(extuni,[status(esa)],[509:[bind(SV13,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(526,plain,
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= zero )
= $false )
| ( ( sK1_X1 = one )
= $false ) ),
inference(extuni,[status(esa)],[509:[bind(SV13,$thf( zero ))]]) ).
thf(527,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one
@ ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[509:[bind(SV13,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(528,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ~ ! [SY228: $i > $o] :
~ ~ ( ~ ( SV14 @ SY228 )
| ( ( sup @ SY228 )
!= ( sK41_E @ SV14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[508]) ).
thf(529,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ~ ! [SY228: $i > $o] :
~ ~ ( ~ ( SV14 @ SY228 )
| ( ( sup @ SY228 )
!= ( sK41_E @ SV14 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[508]) ).
thf(530,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[508]) ).
thf(531,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ~ ! [SY229: $i > $o] :
~ ~ ( ~ ( SV14 @ SY229 )
| ~ ( SY229 @ ( sK42_E @ SV14 ) ) ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[508]) ).
thf(532,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ~ ! [SY229: $i > $o] :
~ ~ ( ~ ( SV14 @ SY229 )
| ~ ( SY229 @ ( sK42_E @ SV14 ) ) ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[508]) ).
thf(533,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[508]) ).
thf(534,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[507]) ).
thf(535,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ~ ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY230 )
| ~ ( SV15 @ SY231 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SY230 @ SY231 ) ) ) )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[507]) ).
thf(536,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ~ ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY230 )
| ~ ( SV15 @ SY231 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SY230 @ SY231 ) ) ) )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[507]) ).
thf(537,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 )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[507]) ).
thf(538,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ~ ! [SY232: $i] :
~ ~ ! [SY233: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY232 )
| ~ ( SV15 @ SY233 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SY232 @ SY233 ) ) ) )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[507]) ).
thf(539,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ~ ! [SY232: $i] :
~ ~ ! [SY233: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY232 )
| ~ ( SV15 @ SY233 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SY232 @ SY233 ) ) ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[507]) ).
thf(540,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 @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[507]) ).
thf(541,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= zero )
= $true )
| ( ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= SV28 )
| ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) ) )
= $true ) ),
inference(extuni,[status(esa)],[505:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(542,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= zero )
= $false )
| ( ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= SV28 )
| ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) ) )
= $false ) ),
inference(extuni,[status(esa)],[505:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(543,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[505:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(544,plain,
! [SV28: $i] :
( ( ( leq @ SV28
@ ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( sup
@ ^ [SX1: $i] : ( SX1 = zero ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[505:[bind(SV27,$thf( sup @ ^ [SX0: $i] : ( SX0 = zero ) ))]]) ).
thf(545,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY229: $i > $o] :
~ ~ ( ~ ( SV14 @ SY229 )
| ~ ( SY229 @ ( sK42_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(546,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY229: $i > $o] :
~ ~ ( ~ ( SV14 @ SY229 )
| ~ ( SY229 @ ( sK42_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(547,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY228: $i > $o] :
~ ~ ( ~ ( SV14 @ SY228 )
| ( ( sup @ SY228 )
!= ( sK41_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[529]) ).
thf(548,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ! [SY228: $i > $o] :
~ ~ ( ~ ( SV14 @ SY228 )
| ( ( sup @ SY228 )
!= ( sK41_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(549,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY232: $i] :
~ ~ ! [SY233: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY232 )
| ~ ( SV15 @ SY233 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SY232 @ SY233 ) ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(550,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY232: $i] :
~ ~ ! [SY233: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY232 )
| ~ ( SV15 @ SY233 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SY232 @ SY233 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(551,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY230 )
| ~ ( SV15 @ SY231 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SY230 @ SY231 ) ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(552,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY230: $i] :
~ ~ ! [SY231: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SY230 )
| ~ ( SV15 @ SY231 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SY230 @ SY231 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(553,plain,
! [SV28: $i] :
( ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= SV28 )
= $false )
| ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= zero )
= $false )
| ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(554,plain,
! [SV28: $i] :
( ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= zero )
= $false )
| ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[542]) ).
thf(555,plain,
! [SV28: $i] :
( ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= SV28 )
= $true )
| ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= ( multiplication @ sK1_X1 @ zero ) )
= $true )
| ( ( ( sK45_E @ ( multiplication @ sK1_X1 @ zero ) @ SV28 )
= zero )
= $true )
| ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(556,plain,
! [SV39: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV39 )
| ~ ( SV39 @ ( sK42_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(557,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK46_SY229 @ SV14 ) )
| ~ ( sK46_SY229 @ SV14 @ ( sK42_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[546]) ).
thf(558,plain,
! [SV40: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ SV40 )
| ( ( sup @ SV40 )
!= ( sK41_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(559,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV14 @ ( sK47_SY228 @ SV14 ) )
| ( ( sup @ ( sK47_SY228 @ SV14 ) )
!= ( sK41_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[548]) ).
thf(560,plain,
! [SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY234: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SY234 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SY234 ) ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(561,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY235: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY235 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ SY235 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[550]) ).
thf(562,plain,
! [SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ~ ! [SY236: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SY236 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SY236 ) ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(563,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ! [SY237: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY237 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ SY237 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[552]) ).
thf(564,plain,
! [SV39: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV39 )
| ~ ( SV39 @ ( sK42_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(565,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK46_SY229 @ SV14 ) )
| ~ ( sK46_SY229 @ SV14 @ ( sK42_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(566,plain,
! [SV40: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ SV40 )
| ( ( sup @ SV40 )
!= ( sK41_E @ SV14 ) ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(567,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV14 @ ( sK47_SY228 @ SV14 ) )
| ( ( sup @ ( sK47_SY228 @ SV14 ) )
!= ( sK41_E @ SV14 ) ) ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(568,plain,
! [SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ! [SY234: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SY234 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SY234 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(569,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY235 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ SY235 ) ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(570,plain,
! [SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ! [SY236: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SY236 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SY236 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(571,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ! [SY237: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY237 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ SY237 ) ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(572,plain,
! [SV39: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV39 )
| ~ ( SV39 @ ( sK42_E @ SV14 ) ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(573,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK46_SY229 @ SV14 ) )
| ~ ( sK46_SY229 @ SV14 @ ( sK42_E @ SV14 ) ) )
= $false )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(574,plain,
! [SV40: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV40 )
| ( ( sup @ SV40 )
!= ( sK41_E @ SV14 ) ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(575,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK47_SY228 @ SV14 ) )
| ( ( sup @ ( sK47_SY228 @ SV14 ) )
!= ( sK41_E @ SV14 ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(576,plain,
! [SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ! [SY234: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SY234 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SY234 ) ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(577,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY235: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY235 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ SY235 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(578,plain,
! [SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ! [SY236: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SY236 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SY236 ) ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(579,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ! [SY237: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ SY237 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ SY237 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(580,plain,
! [SV39: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV39 ) )
= $true )
| ( ( ~ ( SV39 @ ( sK42_E @ SV14 ) ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(581,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK46_SY229 @ SV14 ) ) )
= $false )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(582,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( sK46_SY229 @ SV14 @ ( sK42_E @ SV14 ) ) )
= $false )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(583,plain,
! [SV40: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ SV40 ) )
= $true )
| ( ( ( ( sup @ SV40 )
!= ( sK41_E @ SV14 ) ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(584,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ~ ( SV14 @ ( sK47_SY228 @ SV14 ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(585,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK47_SY228 @ SV14 ) )
!= ( sK41_E @ SV14 ) ) )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(586,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SV43 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(587,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ ( sK50_SY235 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[577]) ).
thf(588,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SV44 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(589,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ ( sK51_SY237 @ SV15 @ SV16 ) ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[579]) ).
thf(590,plain,
! [SV39: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV39 )
= $false )
| ( ( ~ ( SV39 @ ( sK42_E @ SV14 ) ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(591,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK46_SY229 @ SV14 ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(592,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK46_SY229 @ SV14 @ ( sK42_E @ SV14 ) )
= $true )
| ( ( ( sK42_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(593,plain,
! [SV40: $i > $o,SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ SV40 )
= $false )
| ( ( ( ( sup @ SV40 )
!= ( sK41_E @ SV14 ) ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(594,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( SV14 @ ( sK47_SY228 @ SV14 ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(595,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK47_SY228 @ SV14 ) )
= ( sK41_E @ SV14 ) )
= $true )
| ( ( ( sK41_E @ SV14 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(596,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SV43 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(597,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ ( sK50_SY235 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(598,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SV44 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(599,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ ( sK51_SY237 @ SV15 @ SV16 ) ) ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(600,plain,
! [SV14: ( $i > $o ) > $o,SV39: $i > $o] :
( ( ( SV39 @ ( sK42_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV39 )
= $false )
| ( ( ( sK42_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(601,plain,
! [SV14: ( $i > $o ) > $o,SV40: $i > $o] :
( ( ( ( sup @ SV40 )
= ( sK41_E @ SV14 ) )
= $false )
| ( ( SV14 @ SV40 )
= $false )
| ( ( ( sK41_E @ SV14 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(602,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SV43 ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(603,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) ) )
| ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ ( sK50_SY235 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(604,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SV44 ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(605,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) ) )
| ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ ( sK51_SY237 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(606,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SV43 ) ) )
= $true )
| ( ( ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(607,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(608,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ ( sK50_SY235 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(609,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SV44 ) ) )
= $true )
| ( ( ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(610,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(611,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ ( sK51_SY237 @ SV15 @ SV16 ) ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(612,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SV43 ) ) )
= $false )
| ( ( ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(613,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[607]) ).
thf(614,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK44_E @ SV15 @ SV16 )
= ( multiplication @ ( sK48_SY232 @ SV15 @ SV16 ) @ ( sK50_SY235 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(615,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SV44 ) ) )
= $false )
| ( ( ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(616,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(617,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK43_E @ SV15 @ SV16 )
= ( multiplication @ ( sK49_SY230 @ SV15 @ SV16 ) @ ( sK51_SY237 @ SV15 @ SV16 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(618,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV41 )
| ~ ( SV15 @ SV43 ) )
= $true )
| ( ( ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(619,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(620,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV42 )
| ~ ( SV15 @ SV44 ) )
= $true )
| ( ( ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(621,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
| ~ ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(622,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV41 ) )
= $true )
| ( ( ~ ( SV15 @ SV43 ) )
= $true )
| ( ( ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(623,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(624,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(625,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( ~ ( SV16 @ SV42 ) )
= $true )
| ( ( ~ ( SV15 @ SV44 ) )
= $true )
| ( ( ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(626,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ~ ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(627,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( ~ ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) ) )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(628,plain,
! [SV43: $i,SV15: $i > $o,SV41: $i,SV16: $i > $o] :
( ( ( SV16 @ SV41 )
= $false )
| ( ( ~ ( SV15 @ SV43 ) )
= $true )
| ( ( ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(629,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK48_SY232 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(630,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK50_SY235 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(631,plain,
! [SV44: $i,SV15: $i > $o,SV42: $i,SV16: $i > $o] :
( ( ( SV16 @ SV42 )
= $false )
| ( ( ~ ( SV15 @ SV44 ) )
= $true )
| ( ( ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(632,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( SV16 @ ( sK49_SY230 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(633,plain,
! [SV16: $i > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK51_SY237 @ SV15 @ SV16 ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $true )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(634,plain,
! [SV41: $i,SV16: $i > $o,SV43: $i,SV15: $i > $o] :
( ( ( SV15 @ SV43 )
= $false )
| ( ( SV16 @ SV41 )
= $false )
| ( ( ( ( sK44_E @ SV15 @ SV16 )
!= ( multiplication @ SV41 @ SV43 ) ) )
= $true )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(635,plain,
! [SV42: $i,SV16: $i > $o,SV44: $i,SV15: $i > $o] :
( ( ( SV15 @ SV44 )
= $false )
| ( ( SV16 @ SV42 )
= $false )
| ( ( ( ( sK43_E @ SV15 @ SV16 )
!= ( multiplication @ SV42 @ SV44 ) ) )
= $true )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(636,plain,
! [SV43: $i,SV41: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK44_E @ SV15 @ SV16 )
= ( multiplication @ SV41 @ SV43 ) )
= $false )
| ( ( SV16 @ SV41 )
= $false )
| ( ( SV15 @ SV43 )
= $false )
| ( ( ( sK44_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(637,plain,
! [SV44: $i,SV42: $i,SV16: $i > $o,SV15: $i > $o] :
( ( ( ( sK43_E @ SV15 @ SV16 )
= ( multiplication @ SV42 @ SV44 ) )
= $false )
| ( ( SV16 @ SV42 )
= $false )
| ( ( SV15 @ SV44 )
= $false )
| ( ( ( sK43_E @ SV15 @ SV16 )
= zero )
= $false )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(638,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false )
| ( ( sK39_E = zero )
= $true ) ),
inference(sim,[status(thm)],[513]) ).
thf(639,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[63,213]) ).
thf(641,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ 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)],[63,73]) ).
thf(642,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ 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)],[63,69]) ).
thf(643,plain,
! [SV13: $i] :
( ( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[63,54]) ).
thf(644,plain,
! [SV12: $i] :
( ( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[63,53]) ).
thf(645,plain,
! [SV11: $i] :
( ( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[63,52]) ).
thf(646,plain,
( ( ( zero
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[63,21]) ).
thf(647,plain,
( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[646]) ).
thf(648,plain,
( ( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one )
= zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[646]) ).
thf(649,plain,
( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[645:[bind(SV11,$thf( zero ))]]) ).
thf(650,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) ) ) )
= $false ),
inference(extuni,[status(esa)],[645:[bind(SV11,$thf( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ))]]) ).
thf(651,plain,
( ( zero
= ( multiplication @ sK1_X1 @ zero ) )
= $false ),
inference(extuni,[status(esa)],[644:[bind(SV12,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(652,plain,
( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[644:[bind(SV12,$thf( zero ))]]) ).
thf(653,plain,
( ( zero
= ( multiplication @ ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[644:[bind(SV12,$thf( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ))]]) ).
thf(654,plain,
( ( ( zero = one )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= one )
= $false ) ),
inference(extuni,[status(esa)],[643:[bind(SV13,$thf( one ))]]) ).
thf(655,plain,
( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one )
= ( multiplication @ one @ zero ) )
= $false ),
inference(extuni,[status(esa)],[643:[bind(SV13,$thf( zero ))]]) ).
thf(656,plain,
( ( zero
= ( multiplication @ one @ ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) ) )
= $false ),
inference(extuni,[status(esa)],[643:[bind(SV13,$thf( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ))]]) ).
thf(657,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[642]) ).
thf(658,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ 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)],[642]) ).
thf(659,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 @ sK1_X1 @ zero )
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[641]) ).
thf(660,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 @ sK1_X1 @ zero ) @ one )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[641]) ).
thf(661,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ 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)],[641]) ).
thf(662,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[639:[bind(SV27,$thf( zero ))]]) ).
thf(663,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[639:[bind(SV27,$thf( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ))]]) ).
thf(664,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero = one )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( zero = sK1_X1 )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[64,213]) ).
thf(665,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero = sK1_X1 )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( zero = one )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[64,213]) ).
thf(668,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 = sK1_X1 )
= $false ) ),
inference(res,[status(thm)],[64,73]) ).
thf(669,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( zero = sK1_X1 )
= ( ( 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)],[64,73]) ).
thf(670,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 = sK1_X1 )
= $false ) ),
inference(res,[status(thm)],[64,69]) ).
thf(671,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( zero = sK1_X1 )
= ( ( 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)],[64,69]) ).
thf(672,plain,
! [SV13: $i] :
( ( ( ( zero = one )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false )
| ( ( zero = sK1_X1 )
= $false ) ),
inference(res,[status(thm)],[64,54]) ).
thf(673,plain,
! [SV13: $i] :
( ( ( ( zero = sK1_X1 )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[64,54]) ).
thf(674,plain,
! [SV12: $i] :
( ( ( ( zero = one )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false )
| ( ( zero = sK1_X1 )
= $false ) ),
inference(res,[status(thm)],[64,53]) ).
thf(675,plain,
! [SV12: $i] :
( ( ( ( zero = sK1_X1 )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[64,53]) ).
thf(676,plain,
! [SV11: $i] :
( ( ( ( zero = one )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false )
| ( ( zero = sK1_X1 )
= $false ) ),
inference(res,[status(thm)],[64,52]) ).
thf(677,plain,
! [SV11: $i] :
( ( ( ( zero = sK1_X1 )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[64,52]) ).
thf(678,plain,
( ( ( ( zero = one )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false )
| ( ( zero = sK1_X1 )
= $false ) ),
inference(res,[status(thm)],[64,21]) ).
thf(679,plain,
( ( ( ( zero = sK1_X1 )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false )
| ( ( zero = one )
= $false ) ),
inference(res,[status(thm)],[64,21]) ).
thf(680,plain,
( ( ( zero = one )
= $false )
| ( ( ( zero = sK1_X1 )
= ( zero = one ) )
= $false ) ),
inference(fac_restr,[status(thm)],[64]) ).
thf(681,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[679]) ).
thf(682,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1 = zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[679]) ).
thf(683,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( one
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[678]) ).
thf(684,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( one = zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[678]) ).
thf(685,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ) ),
inference(extuni,[status(esa)],[677:[bind(SV11,$thf( zero ))]]) ).
thf(686,plain,
( ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] : ( SX0 = sK1_X1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[677:[bind(SV11,$thf( sK1_X1 ))]]) ).
thf(687,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ) ),
inference(extuni,[status(esa)],[676:[bind(SV11,$thf( zero ))]]) ).
thf(688,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= $false ) ),
inference(extuni,[status(esa)],[676:[bind(SV11,$thf( one ))]]) ).
thf(689,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1
= ( multiplication @ zero @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[675:[bind(SV12,$thf( zero ))]]) ).
thf(690,plain,
( ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ sK1_X1 @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[675:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(691,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( one
= ( multiplication @ zero @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[674:[bind(SV12,$thf( zero ))]]) ).
thf(692,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( zero
= ( multiplication @ one @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[674:[bind(SV12,$thf( one ))]]) ).
thf(693,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1
= ( multiplication @ one @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[673:[bind(SV13,$thf( zero ))]]) ).
thf(694,plain,
( ( ( zero = one )
= $false )
| ( ( zero
= ( multiplication @ one @ sK1_X1 ) )
= $false ) ),
inference(extuni,[status(esa)],[673:[bind(SV13,$thf( sK1_X1 ))]]) ).
thf(695,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( one
= ( multiplication @ one @ zero ) )
= $false ) ),
inference(extuni,[status(esa)],[672:[bind(SV13,$thf( zero ))]]) ).
thf(696,plain,
( ( ( zero = sK1_X1 )
= $false )
| ( ( zero
= ( multiplication @ one @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[672:[bind(SV13,$thf( one ))]]) ).
thf(697,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[671]) ).
thf(698,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = one )
= $false )
| ( ( sK1_X1
= ( 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)],[671]) ).
thf(699,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = sK1_X1 )
= $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)],[670]) ).
thf(700,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero = sK1_X1 )
= $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)],[670]) ).
thf(701,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 )
| ( ( sK1_X1
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[669]) ).
thf(702,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero = one )
= $false )
| ( ( sK1_X1
= ( 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)],[669]) ).
thf(703,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero = sK1_X1 )
= $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)],[668]) ).
thf(704,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero = sK1_X1 )
= $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)],[668]) ).
thf(705,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( zero = one )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[665:[bind(SV27,$thf( zero ))]]) ).
thf(706,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ sK1_X1 )
= $false )
| ( ( zero = one )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[665:[bind(SV27,$thf( sK1_X1 ))]]) ).
thf(707,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( zero = sK1_X1 )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[664:[bind(SV27,$thf( zero ))]]) ).
thf(708,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ one )
= $false )
| ( ( zero = sK1_X1 )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = one ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[664:[bind(SV27,$thf( one ))]]) ).
thf(709,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1 = zero )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[680]) ).
thf(710,plain,
( ( ( sK1_X1 = one )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[680]) ).
thf(711,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1 = zero )
= $false ) ),
inference(sim,[status(thm)],[709]) ).
thf(712,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ zero @ one ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[65,213]) ).
thf(714,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(715,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(716,plain,
! [SV13: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ zero @ one ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[65,54]) ).
thf(717,plain,
! [SV12: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ zero @ one ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[65,53]) ).
thf(718,plain,
! [SV11: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ zero @ one ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[65,52]) ).
thf(719,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ zero @ one ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[65,21]) ).
thf(720,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false )
| ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[719]) ).
thf(721,plain,
( ( ( ( multiplication @ zero @ one )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[719]) ).
thf(722,plain,
( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[718:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(723,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ zero @ one ) ) ) )
= $false ),
inference(extuni,[status(esa)],[718:[bind(SV11,$thf( multiplication @ zero @ one ))]]) ).
thf(724,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false ),
inference(extuni,[status(esa)],[717:[bind(SV12,$thf( zero ))]]) ).
thf(725,plain,
( ( ( multiplication @ zero @ one )
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[717:[bind(SV12,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(726,plain,
( ( ( ( multiplication @ zero @ one )
= sK1_X1 )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[717:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(727,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( multiplication @ zero @ one ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[717:[bind(SV12,$thf( multiplication @ zero @ one ))]]) ).
thf(728,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= one )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[716:[bind(SV13,$thf( one ))]]) ).
thf(729,plain,
( ( ( multiplication @ zero @ one )
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= $false ),
inference(extuni,[status(esa)],[716:[bind(SV13,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(730,plain,
( ( ( ( multiplication @ zero @ one )
= zero )
= $false )
| ( ( sK1_X1 = one )
= $false ) ),
inference(extuni,[status(esa)],[716:[bind(SV13,$thf( zero ))]]) ).
thf(731,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one @ ( multiplication @ zero @ one ) ) )
= $false ),
inference(extuni,[status(esa)],[716:[bind(SV13,$thf( multiplication @ zero @ one ))]]) ).
thf(732,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[715]) ).
thf(733,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[715]) ).
thf(734,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[714]) ).
thf(735,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[714]) ).
thf(736,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 )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[714]) ).
thf(737,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 @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[714]) ).
thf(738,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( multiplication @ zero @ one )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[712:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(739,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ zero @ one ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ zero @ one ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[712:[bind(SV27,$thf( multiplication @ zero @ one ))]]) ).
thf(740,plain,
( ( ( zero = one )
= $false )
| ( ( sK1_X1 = zero )
= $false ) ),
inference(extuni,[status(esa)],[65]) ).
thf(741,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[66,213]) ).
thf(743,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ 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)],[66,73]) ).
thf(744,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ 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)],[66,69]) ).
thf(745,plain,
! [SV13: $i] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[66,54]) ).
thf(746,plain,
! [SV12: $i] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[66,53]) ).
thf(747,plain,
! [SV11: $i] :
( ( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[66,52]) ).
thf(748,plain,
( ( ( zero
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[66,21]) ).
thf(749,plain,
( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ),
inference(extuni,[status(esa)],[748]) ).
thf(750,plain,
( ( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= zero )
= $false )
| ( ( zero
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[748]) ).
thf(751,plain,
( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = zero ) ) )
= $false ),
inference(extuni,[status(esa)],[747:[bind(SV11,$thf( zero ))]]) ).
thf(752,plain,
( ( zero
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[747:[bind(SV11,$thf( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ))]]) ).
thf(753,plain,
( ( ( zero = one )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= one )
= $false ) ),
inference(extuni,[status(esa)],[746:[bind(SV12,$thf( one ))]]) ).
thf(754,plain,
( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( multiplication @ zero @ one ) )
= $false ),
inference(extuni,[status(esa)],[746:[bind(SV12,$thf( zero ))]]) ).
thf(755,plain,
( ( zero
= ( multiplication @ ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[746:[bind(SV12,$thf( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ))]]) ).
thf(756,plain,
( ( zero
= ( multiplication @ sK1_X1 @ zero ) )
= $false ),
inference(extuni,[status(esa)],[745:[bind(SV13,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(757,plain,
( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( multiplication @ one @ zero ) )
= $false ),
inference(extuni,[status(esa)],[745:[bind(SV13,$thf( zero ))]]) ).
thf(758,plain,
( ( zero
= ( multiplication @ one @ ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[745:[bind(SV13,$thf( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ))]]) ).
thf(759,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( zero
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[744]) ).
thf(760,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( 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)],[744]) ).
thf(761,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 @ sK1_X1 @ zero )
= ( sup @ SV15 ) )
= $false )
| ( ( one
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[743]) ).
thf(762,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 @ sK1_X1 @ zero ) )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[743]) ).
thf(763,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( 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)],[743]) ).
thf(764,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ zero )
= $false )
| ( ( ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = zero ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[741:[bind(SV27,$thf( zero ))]]) ).
thf(765,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= $false )
| ( ( zero
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[741:[bind(SV27,$thf( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ))]]) ).
thf(766,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( sK1_X1 = one )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[67,213]) ).
thf(768,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( sK1_X1 = 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)],[67,73]) ).
thf(769,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK1_X1 = 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)],[67,69]) ).
thf(770,plain,
! [SV13: $i] :
( ( ( sK1_X1 = one )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[67,54]) ).
thf(771,plain,
! [SV12: $i] :
( ( ( sK1_X1 = one )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[67,53]) ).
thf(772,plain,
! [SV11: $i] :
( ( ( sK1_X1 = one )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[67,52]) ).
thf(773,plain,
( ( ( sK1_X1 = one )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[67,21]) ).
thf(774,plain,
( ( ( sK1_X1 = zero )
= $false )
| ( ( one
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[773]) ).
thf(775,plain,
( ( ( one = zero )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[773]) ).
thf(776,plain,
( ( one
= ( sup
@ ^ [SX0: $i] : ( SX0 = sK1_X1 ) ) )
= $false ),
inference(extuni,[status(esa)],[772:[bind(SV11,$thf( sK1_X1 ))]]) ).
thf(777,plain,
( ( sK1_X1
= ( sup
@ ^ [SX0: $i] : ( SX0 = one ) ) )
= $false ),
inference(extuni,[status(esa)],[772:[bind(SV11,$thf( one ))]]) ).
thf(778,plain,
( ( one
= ( multiplication @ sK1_X1 @ one ) )
= $false ),
inference(extuni,[status(esa)],[771:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(779,plain,
( ( sK1_X1
= ( multiplication @ one @ one ) )
= $false ),
inference(extuni,[status(esa)],[771:[bind(SV12,$thf( one ))]]) ).
thf(780,plain,
( ( one
= ( multiplication @ one @ sK1_X1 ) )
= $false ),
inference(extuni,[status(esa)],[770:[bind(SV13,$thf( sK1_X1 ))]]) ).
thf(781,plain,
( ( sK1_X1
= ( multiplication @ one @ one ) )
= $false ),
inference(extuni,[status(esa)],[770:[bind(SV13,$thf( one ))]]) ).
thf(782,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( sK1_X1
= ( 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)],[769]) ).
thf(783,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[769]) ).
thf(784,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( sK1_X1
= ( 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)],[768]) ).
thf(785,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( one
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV16 @ SX1 )
| ~ ( SV15 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK1_X1
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[768]) ).
thf(786,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ sK1_X1 )
= $false )
| ( ( one
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[766:[bind(SV27,$thf( sK1_X1 ))]]) ).
thf(787,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ one )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = one ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[766:[bind(SV27,$thf( one ))]]) ).
thf(788,plain,
! [SV27: $i,SV28: $i] :
( ( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one @ zero ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0 = SV27 ) ) )
= SV27 ) )
= $false )
| ( ( leq @ SV28 @ SV27 )
= $false ) ),
inference(res,[status(thm)],[68,213]) ).
thf(790,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(791,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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(792,plain,
! [SV13: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one @ zero ) )
= ( ( multiplication @ one @ SV13 )
= SV13 ) )
= $false ),
inference(res,[status(thm)],[68,54]) ).
thf(793,plain,
! [SV12: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one @ zero ) )
= ( ( multiplication @ SV12 @ one )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[68,53]) ).
thf(794,plain,
! [SV11: $i] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one @ zero ) )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV11 ) )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[68,52]) ).
thf(795,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one @ zero ) )
= ( ( sup
@ ^ [X: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[68,21]) ).
thf(796,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false )
| ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[795]) ).
thf(797,plain,
( ( ( ( multiplication @ one @ zero )
= zero )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [X: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[795]) ).
thf(798,plain,
( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[794:[bind(SV11,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(799,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( SX0
= ( multiplication @ one @ zero ) ) ) )
= $false ),
inference(extuni,[status(esa)],[794:[bind(SV11,$thf( multiplication @ one @ zero ))]]) ).
thf(800,plain,
( ( ( ( multiplication @ sK1_X1 @ zero )
= one )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[793:[bind(SV12,$thf( one ))]]) ).
thf(801,plain,
( ( ( multiplication @ one @ zero )
= ( multiplication @ ( multiplication @ sK1_X1 @ zero ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[793:[bind(SV12,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(802,plain,
( ( ( ( multiplication @ one @ zero )
= sK1_X1 )
= $false )
| ( ( zero = one )
= $false ) ),
inference(extuni,[status(esa)],[793:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(803,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ ( multiplication @ one @ zero ) @ one ) )
= $false ),
inference(extuni,[status(esa)],[793:[bind(SV12,$thf( multiplication @ one @ zero ))]]) ).
thf(804,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= zero )
= $false ),
inference(extuni,[status(esa)],[792:[bind(SV13,$thf( zero ))]]) ).
thf(805,plain,
( ( ( multiplication @ one @ zero )
= ( multiplication @ one @ ( multiplication @ sK1_X1 @ zero ) ) )
= $false ),
inference(extuni,[status(esa)],[792:[bind(SV13,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(806,plain,
( ( ( ( multiplication @ one @ zero )
= zero )
= $false )
| ( ( sK1_X1 = one )
= $false ) ),
inference(extuni,[status(esa)],[792:[bind(SV13,$thf( zero ))]]) ).
thf(807,plain,
( ( ( multiplication @ sK1_X1 @ zero )
= ( multiplication @ one @ ( multiplication @ one @ zero ) ) )
= $false ),
inference(extuni,[status(esa)],[792:[bind(SV13,$thf( multiplication @ one @ zero ))]]) ).
thf(808,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[791]) ).
thf(809,plain,
! [SV14: ( $i > $o ) > $o] :
( ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV14 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[791]) ).
thf(810,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[790]) ).
thf(811,plain,
! [SV15: $i > $o,SV16: $i > $o] :
( ( ( ( multiplication @ sK1_X1 @ zero )
= ( 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)],[790]) ).
thf(812,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 )
| ( ( zero
= ( sup @ SV15 ) )
= $false )
| ( ( sK1_X1
= ( sup @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[790]) ).
thf(813,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 @ sK1_X1 @ zero )
= ( multiplication @ ( sup @ SV16 ) @ ( sup @ SV15 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[790]) ).
thf(814,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ sK1_X1 @ zero ) )
= $false )
| ( ( ( multiplication @ one @ zero )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ sK1_X1 @ zero ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[788:[bind(SV27,$thf( multiplication @ sK1_X1 @ zero ))]]) ).
thf(815,plain,
! [SV28: $i] :
( ( ( leq @ SV28 @ ( multiplication @ one @ zero ) )
= $false )
| ( ( ( multiplication @ sK1_X1 @ zero )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV28 )
| ( SX0
= ( multiplication @ one @ zero ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[788:[bind(SV27,$thf( multiplication @ one @ zero ))]]) ).
thf(816,plain,
( ( sK1_X1 = one )
= $false ),
inference(extuni,[status(esa)],[68]) ).
thf(817,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,787,786,785,784,783,782,781,780,779,778,777,776,775,774,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,740,739,738,737,736,735,734,733,732,731,730,729,728,727,726,725,724,723,722,721,720,711,710,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,638,637,636,633,632,630,629,617,614,601,600,595,594,592,591,555,554,553,544,543,540,537,534,533,530,527,526,525,524,523,522,521,520,519,518,517,516,515,504,503,501,500,493,485,484,481,480,478,477,449,448,447,440,439,436,433,432,429,426,425,424,423,422,421,420,419,418,417,416,405,404,403,402,401,400,399,398,397,396,395,394,300,299,296,293,290,289,286,283,282,281,280,279,278,277,276,273,272,263,262,261,260,259,258,257,256,253,252,251,247,242,239,233,230,229,228,226,225,213,212,211,210,209,208,205,204,194,183,182,181,180,176,175,172,171,110,106,105,102,99,96,95,94,91,88,78,77,76,75,73,72,71,69,68,67,66,65,64,63,62,61,60,54,53,52,35]) ).
thf(818,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : QUA005^1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 10:59:15 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36
% 0.15/0.36 No.of.Axioms: 7
% 0.15/0.36
% 0.15/0.36 Length.of.Defs: 1115
% 0.15/0.36
% 0.15/0.36 Contains.Choice.Funs: true
% 0.15/0.36 (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
% 25.23/25.44 ...............................eprover: CPU time limit exceeded, terminating
% 53.05/53.24 ...............................................................................
% 81.27/81.50 (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
% 106.33/106.57 ................................eprover: CPU time limit exceeded, terminating
% 133.93/134.19 .......................................
% 147.06/147.53
% 147.06/147.53 ********************************
% 147.06/147.53 * All subproblems solved! *
% 147.06/147.53 ********************************
% 147.06/147.53 % 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:817,loop_count:20,foatp_calls:3,translation:fof_full)
% 147.72/147.91
% 147.72/147.91 %**** Beginning of derivation protocol ****
% 147.72/147.91 % SZS output start CNFRefutation
% See solution above
% 147.72/147.91
% 147.72/147.91 %**** End of derivation protocol ****
% 147.72/147.91 %**** no. of clauses in derivation: 734 ****
% 147.72/147.91 %**** clause counter: 817 ****
% 147.72/147.91
% 147.72/147.91 % 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:817,loop_count:20,foatp_calls:3,translation:fof_full)
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