TSTP Solution File: QUA004^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : QUA004^1 : 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 : n020.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 28.89s 29.14s
% Output : CNFRefutation 29.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 51
% Syntax : Number of formulae : 411 ( 72 unt; 36 typ; 7 def)
% Number of atoms : 3590 (2168 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 7392 (1872 ~;1299 |; 6 &;4214 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 820 ( 820 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 36 usr; 9 con; 0-4 aty)
% Number of variables : 1396 ( 327 ^1065 !; 4 ?;1396 :)
% 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_E,type,
sK10_E: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK11_SY23,type,
sK11_SY23: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK12_SY26,type,
sK12_SY26: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK13_E,type,
sK13_E: $i > $i > $i ).
thf(tp_sK14_E,type,
sK14_E: ( ( $i > $o ) > $o ) > $i > $i ).
thf(tp_sK15_E,type,
sK15_E: ( ( $i > $o ) > $o ) > $i > $i > $i ).
thf(tp_sK16_E,type,
sK16_E: $i > $i > $i > $i ).
thf(tp_sK17_E,type,
sK17_E: ( $i > $o ) > ( $i > $o ) > $i > $i ).
thf(tp_sK18_SX0,type,
sK18_SX0: $i > ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK19_SY27,type,
sK19_SY27: $i > ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK1_X1,type,
sK1_X1: $i ).
thf(tp_sK20_SY31,type,
sK20_SY31: $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK21_SY41,type,
sK21_SY41: ( $i > $o ) > $i > ( $i > $o ) > $i ).
thf(tp_sK22_E,type,
sK22_E: $i ).
thf(tp_sK23_E,type,
sK23_E: $i > $i > $i ).
thf(tp_sK24_E,type,
sK24_E: $i > $i > $i > $i > $i ).
thf(tp_sK2_E,type,
sK2_E: $i ).
thf(tp_sK3_E,type,
sK3_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: ( ( $i > $o ) > $o ) > $i ).
thf(tp_sK5_SY19,type,
sK5_SY19: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK6_SY18,type,
sK6_SY18: ( ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK7_E,type,
sK7_E: $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK9_E,type,
sK9_E: $i > $i ).
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] :
( ( addition @ X1 @ X1 )
= X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_idemp) ).
thf(9,negated_conjecture,
( ( ! [X1: $i] :
( ( addition @ X1 @ X1 )
= X1 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ( addition @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(11,plain,
( ( ( ( addition @ sK1_X1 @ sK1_X1 )
!= sK1_X1 ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [X1: $i,X2: $i] :
( ( ( addition @ X1 @ X2 )
!= X2 )
| ( leq @ X1 @ X2 ) )
& ! [X1: $i,X2: $i] :
( ~ ( leq @ X1 @ X2 )
| ( ( addition @ X1 @ X2 )
= X2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(13,plain,
( ( ( sup @ emptyset )
= zero )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ! [X: $i] :
( ( sup @ ( singleton @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(15,plain,
( ( ! [X: ( $i > $o ) > $o] :
( ( sup @ ( supset @ X ) )
= ( sup @ ( unionset @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [X1: $i,X2: $i] :
( ( ( addition @ X1 @ X2 )
!= X2 )
| ( leq @ X1 @ X2 ) )
& ! [X1: $i,X2: $i] :
( ~ ( leq @ X1 @ X2 )
| ( ( addition @ X1 @ X2 )
= X2 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(17,plain,
( ( ! [X: $i > $o,Y: $i > $o] :
( ( multiplication @ ( sup @ X ) @ ( sup @ Y ) )
= ( sup @ ( crossmult @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [X: $i] :
( ( multiplication @ X @ one )
= X ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(19,plain,
( ( ! [X: $i] :
( ( multiplication @ one @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(20,plain,
( ( ( ( addition @ sK1_X1 @ sK1_X1 )
!= sK1_X1 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(21,plain,
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
!= sK1_X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[20,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(22,plain,
( ( ( sup
@ ^ [SX0: $i] : $false )
= zero )
= $true ),
inference(unfold_def,[status(thm)],[13,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(23,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)],[15,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(24,plain,
( ( ! [SX0: $i] :
( ( sup
@ ^ [SX1: $i] : ( SX1 = SX0 ) )
= SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[14,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(25,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)],[16,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(26,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)],[17,addition,crossmult,emptyset,singleton,supset,union,unionset]) ).
thf(27,plain,
! [SV1: $i] :
( ( ( multiplication @ SV1 @ one )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(28,plain,
! [SV2: $i] :
( ( ( multiplication @ one @ SV2 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(29,plain,
( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(30,plain,
! [SV3: ( $i > $o ) > $o] :
( ( ( sup
@ ^ [SY0: $i] :
~ ! [SY1: $i > $o] :
~ ~ ( ~ ( SV3 @ SY1 )
| ( ( sup @ SY1 )
!= SY0 ) ) )
= ( sup
@ ^ [SY2: $i] :
~ ! [SY3: $i > $o] :
~ ~ ( ~ ( SV3 @ SY3 )
| ~ ( SY3 @ SY2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(31,plain,
! [SV4: $i] :
( ( ( sup
@ ^ [SY4: $i] : ( SY4 = SV4 ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(32,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)],[25]) ).
thf(33,plain,
! [SV5: $i > $o] :
( ( ! [SY5: $i > $o] :
( ( multiplication @ ( sup @ SV5 ) @ ( sup @ SY5 ) )
= ( sup
@ ^ [SY6: $i] :
~ ! [SY7: $i] :
~ ~ ! [SY8: $i] :
~ ~ ( ~ ~ ( ~ ( SV5 @ SY7 )
| ~ ( SY5 @ SY8 ) )
| ( SY6
!= ( multiplication @ SY7 @ SY8 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
!= SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV6: $i > $o,SV5: $i > $o] :
( ( ( multiplication @ ( sup @ SV5 ) @ ( sup @ SV6 ) )
= ( sup
@ ^ [SY9: $i] :
~ ! [SY10: $i] :
~ ~ ! [SY11: $i] :
~ ~ ( ~ ~ ( ~ ( SV5 @ SY10 )
| ~ ( SV6 @ SY11 ) )
| ( SY9
!= ( multiplication @ SY10 @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
!= SX1 )
| ( leq @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( leq @ SX0 @ SX1 )
| ( ( sup
@ ^ [SX2: $i] :
( ( SX2 = SX0 )
| ( SX2 = SX1 ) ) )
= SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV7: $i] :
( ( ! [SY12: $i] :
( ( ( sup
@ ^ [SY13: $i] :
( ( SY13 = SV7 )
| ( SY13 = SY12 ) ) )
!= SY12 )
| ( leq @ SV7 @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV8: $i] :
( ( ! [SY14: $i] :
( ~ ( leq @ SV8 @ SY14 )
| ( ( sup
@ ^ [SY15: $i] :
( ( SY15 = SV8 )
| ( SY15 = SY14 ) ) )
= SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( sup
@ ^ [SY16: $i] :
( ( SY16 = SV7 )
| ( SY16 = SV9 ) ) )
!= SV9 )
| ( leq @ SV7 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV10: $i,SV8: $i] :
( ( ~ ( leq @ SV8 @ SV10 )
| ( ( sup
@ ^ [SY17: $i] :
( ( SY17 = SV8 )
| ( SY17 = SV10 ) ) )
= SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( ( sup
@ ^ [SY16: $i] :
( ( SY16 = SV7 )
| ( SY16 = SV9 ) ) )
!= SV9 ) )
= $true )
| ( ( leq @ SV7 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV10: $i,SV8: $i] :
( ( ( ~ ( leq @ SV8 @ SV10 ) )
= $true )
| ( ( ( sup
@ ^ [SY17: $i] :
( ( SY17 = SV8 )
| ( SY17 = SV10 ) ) )
= SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV9: $i,SV7: $i] :
( ( ( ( sup
@ ^ [SY16: $i] :
( ( SY16 = SV7 )
| ( SY16 = SV9 ) ) )
= SV9 )
= $false )
| ( ( leq @ SV7 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV10: $i,SV8: $i] :
( ( ( leq @ SV8 @ SV10 )
= $false )
| ( ( ( sup
@ ^ [SY17: $i] :
( ( SY17 = SV8 )
| ( SY17 = SV10 ) ) )
= SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV11: $i] :
( ( ( multiplication @ SV11 @ one )
= SV11 )
= $true ),
inference(rename,[status(thm)],[27]) ).
thf(48,plain,
! [SV12: $i] :
( ( ( multiplication @ one @ SV12 )
= SV12 )
= $true ),
inference(rename,[status(thm)],[28]) ).
thf(49,plain,
! [SV12: $i] :
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 )
= ( ( multiplication @ one @ SV12 )
= SV12 ) )
= $false ),
inference(res,[status(thm)],[29,48]) ).
thf(50,plain,
! [SV11: $i] :
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 )
= ( ( multiplication @ SV11 @ one )
= SV11 ) )
= $false ),
inference(res,[status(thm)],[29,47]) ).
thf(51,plain,
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 )
= ( ( sup
@ ^ [SX0: $i] : $false )
= zero ) )
= $false ),
inference(res,[status(thm)],[29,22]) ).
thf(52,plain,
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= zero )
= $false )
| ( ( sK1_X1
= ( sup
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[51]) ).
thf(53,plain,
( ( ( sK1_X1 = zero )
= $false )
| ( ( ( sK2_E = sK1_X1 )
| ( sK2_E = sK1_X1 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[51]) ).
thf(55,plain,
( ( ( sK1_X1 = zero )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= ( sup
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[51]) ).
thf(56,plain,
( ( sK1_X1
= ( multiplication
@ ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
@ one ) )
= $false ),
inference(extuni,[status(esa)],[50:[bind(SV11,$thf( sup @ ^ [SX0: $i] : ( ( SX0 = sK1_X1 ) | ( SX0 = sK1_X1 ) ) ))]]) ).
thf(57,plain,
( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= ( multiplication @ sK1_X1 @ one ) )
= $false ),
inference(extuni,[status(esa)],[50:[bind(SV11,$thf( sK1_X1 ))]]) ).
thf(58,plain,
( ( sK1_X1
= ( multiplication @ one
@ ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sup @ ^ [SX0: $i] : ( ( SX0 = sK1_X1 ) | ( SX0 = sK1_X1 ) ) ))]]) ).
thf(59,plain,
( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= ( multiplication @ one @ sK1_X1 ) )
= $false ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK1_X1 ))]]) ).
thf(62,plain,
( ( ( sK2_E = sK1_X1 )
= $true )
| ( ( sK2_E = sK1_X1 )
= $true )
| ( ( sK1_X1 = zero )
= $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(63,plain,
( ( ( sK2_E = sK1_X1 )
= $true )
| ( ( sK1_X1 = zero )
= $false ) ),
inference(sim,[status(thm)],[62]) ).
thf(64,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true ),
inference(rename,[status(thm)],[30]) ).
thf(65,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 ) )
= $false ),
inference(res,[status(thm)],[64,29]) ).
thf(66,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ~ ! [SY18: $i > $o] :
~ ~ ( ~ ( SV13 @ SY18 )
| ~ ( SY18 @ ( sK3_E @ SV13 ) ) ) )
= $true )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extuni,[status(esa)],[65]) ).
thf(67,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ~ ! [SY18: $i > $o] :
~ ~ ( ~ ( SV13 @ SY18 )
| ~ ( SY18 @ ( sK3_E @ SV13 ) ) ) )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extuni,[status(esa)],[65]) ).
thf(68,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65]) ).
thf(69,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ~ ! [SY19: $i > $o] :
~ ~ ( ~ ( SV13 @ SY19 )
| ( ( sup @ SY19 )
!= ( sK4_E @ SV13 ) ) ) )
= $true )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extuni,[status(esa)],[65]) ).
thf(70,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ~ ! [SY19: $i > $o] :
~ ~ ( ~ ( SV13 @ SY19 )
| ( ( sup @ SY19 )
!= ( sK4_E @ SV13 ) ) ) )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extuni,[status(esa)],[65]) ).
thf(71,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65]) ).
thf(72,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ! [SY19: $i > $o] :
~ ~ ( ~ ( SV13 @ SY19 )
| ( ( sup @ SY19 )
!= ( sK4_E @ SV13 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(73,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ! [SY19: $i > $o] :
~ ~ ( ~ ( SV13 @ SY19 )
| ( ( sup @ SY19 )
!= ( sK4_E @ SV13 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(74,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ! [SY18: $i > $o] :
~ ~ ( ~ ( SV13 @ SY18 )
| ~ ( SY18 @ ( sK3_E @ SV13 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(75,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ! [SY18: $i > $o] :
~ ~ ( ~ ( SV13 @ SY18 )
| ~ ( SY18 @ ( sK3_E @ SV13 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV14: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ SV14 )
| ( ( sup @ SV14 )
!= ( sK4_E @ SV13 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(77,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK5_SY19 @ SV13 ) )
| ( ( sup @ ( sK5_SY19 @ SV13 ) )
!= ( sK4_E @ SV13 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(78,plain,
! [SV15: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ SV15 )
| ~ ( SV15 @ ( sK3_E @ SV13 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK6_SY18 @ SV13 ) )
| ~ ( sK6_SY18 @ SV13 @ ( sK3_E @ SV13 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(80,plain,
! [SV14: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ SV14 )
| ( ( sup @ SV14 )
!= ( sK4_E @ SV13 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ ( sK5_SY19 @ SV13 ) )
| ( ( sup @ ( sK5_SY19 @ SV13 ) )
!= ( sK4_E @ SV13 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(82,plain,
! [SV15: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ SV15 )
| ~ ( SV15 @ ( sK3_E @ SV13 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(83,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ ( sK6_SY18 @ SV13 ) )
| ~ ( sK6_SY18 @ SV13 @ ( sK3_E @ SV13 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(84,plain,
! [SV14: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV14 )
| ( ( sup @ SV14 )
!= ( sK4_E @ SV13 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(85,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK5_SY19 @ SV13 ) )
| ( ( sup @ ( sK5_SY19 @ SV13 ) )
!= ( sK4_E @ SV13 ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV15: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV15 )
| ~ ( SV15 @ ( sK3_E @ SV13 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK6_SY18 @ SV13 ) )
| ~ ( sK6_SY18 @ SV13 @ ( sK3_E @ SV13 ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(88,plain,
! [SV14: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV14 ) )
= $true )
| ( ( ( ( sup @ SV14 )
!= ( sK4_E @ SV13 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK5_SY19 @ SV13 ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(90,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( ( sup @ ( sK5_SY19 @ SV13 ) )
!= ( sK4_E @ SV13 ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV15: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV15 ) )
= $true )
| ( ( ~ ( SV15 @ ( sK3_E @ SV13 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK6_SY18 @ SV13 ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(93,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ~ ( sK6_SY18 @ SV13 @ ( sK3_E @ SV13 ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(94,plain,
! [SV14: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ SV14 )
= $false )
| ( ( ( ( sup @ SV14 )
!= ( sK4_E @ SV13 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(95,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ ( sK5_SY19 @ SV13 ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(96,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sup @ ( sK5_SY19 @ SV13 ) )
= ( sK4_E @ SV13 ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(97,plain,
! [SV15: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ SV15 )
= $false )
| ( ( ~ ( SV15 @ ( sK3_E @ SV13 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(98,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ ( sK6_SY18 @ SV13 ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(99,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( sK6_SY18 @ SV13 @ ( sK3_E @ SV13 ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(100,plain,
! [SV13: ( $i > $o ) > $o,SV14: $i > $o] :
( ( ( ( sup @ SV14 )
= ( sK4_E @ SV13 ) )
= $false )
| ( ( SV13 @ SV14 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
| ( ( sK4_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(101,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ ( sK5_SY19 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(102,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( sup @ ( sK5_SY19 @ SV13 ) )
= ( sK4_E @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(103,plain,
! [SV13: ( $i > $o ) > $o,SV15: $i > $o] :
( ( ( SV15 @ ( sK3_E @ SV13 ) )
= $false )
| ( ( SV13 @ SV15 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
| ( ( sK3_E @ SV13 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(104,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ ( sK6_SY18 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(105,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( sK6_SY18 @ SV13 @ ( sK3_E @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(106,plain,
! [SV14: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ SV14 )
= $false )
| ( ( ( sup @ SV14 )
= ( sK4_E @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(107,plain,
! [SV14: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ SV14 )
= $false )
| ( ( ( sup @ SV14 )
= ( sK4_E @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(108,plain,
! [SV15: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ SV15 )
= $false )
| ( ( SV15 @ ( sK3_E @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(109,plain,
! [SV15: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ SV15 )
= $false )
| ( ( SV15 @ ( sK3_E @ SV13 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(110,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ ( sK5_SY19 @ SV13 ) )
= $true ) ),
inference(sim,[status(thm)],[101]) ).
thf(111,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK4_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( ( sup @ ( sK5_SY19 @ SV13 ) )
= ( sK4_E @ SV13 ) )
= $true ) ),
inference(sim,[status(thm)],[102]) ).
thf(112,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( SV13 @ ( sK6_SY18 @ SV13 ) )
= $true ) ),
inference(sim,[status(thm)],[104]) ).
thf(113,plain,
! [SV13: ( $i > $o ) > $o] :
( ( ( ( sK3_E @ SV13 )
= sK1_X1 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= sK1_X1 )
= $false )
| ( ( sK6_SY18 @ SV13 @ ( sK3_E @ SV13 ) )
= $true ) ),
inference(sim,[status(thm)],[105]) ).
thf(114,plain,
! [SV16: $i] :
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV16 ) )
= SV16 )
= $true ),
inference(rename,[status(thm)],[31]) ).
thf(115,plain,
! [SV16: $i] :
( ( ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV16 ) )
= SV16 )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 ) )
= $false ),
inference(res,[status(thm)],[114,29]) ).
thf(116,plain,
( ( ( sup
@ ^ [SX0: $i] :
( SX0
= ( sup
@ ^ [SX1: $i] :
( ( SX1 = sK1_X1 )
| ( SX1 = sK1_X1 ) ) ) ) )
= sK1_X1 )
= $false ),
inference(extuni,[status(esa)],[115:[bind(SV16,$thf( sup @ ^ [SX0: $i] : ( ( SX0 = sK1_X1 ) | ( SX0 = sK1_X1 ) ) ))]]) ).
thf(117,plain,
( ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $true )
| ( ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
| ( ( sK9_E @ sK1_X1 )
= sK1_X1 ) )
= $true ) ),
inference(extuni,[status(esa)],[115:[bind(SV16,$thf( sK1_X1 ))]]) ).
thf(118,plain,
( ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $false )
| ( ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
| ( ( sK9_E @ sK1_X1 )
= sK1_X1 ) )
= $false ) ),
inference(extuni,[status(esa)],[115:[bind(SV16,$thf( sK1_X1 ))]]) ).
thf(119,plain,
( ( ( sup
@ ^ [SX0: $i] : ( SX0 = sK1_X1 ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ),
inference(extuni,[status(esa)],[115:[bind(SV16,$thf( sK1_X1 ))]]) ).
thf(120,plain,
( ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $false )
| ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(121,plain,
( ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $false )
| ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[118]) ).
thf(122,plain,
( ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $true )
| ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $true )
| ( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(123,plain,
( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $false ),
inference(sim,[status(thm)],[120]) ).
thf(124,plain,
( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $false ),
inference(sim,[status(thm)],[121]) ).
thf(125,plain,
( ( ( sK9_E @ sK1_X1 )
= sK1_X1 )
= $true ),
inference(sim,[status(thm)],[122]) ).
thf(126,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX1 )
| ~ ( SV17 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(rename,[status(thm)],[36]) ).
thf(127,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX1 )
| ~ ( SV17 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 ) )
= $false ),
inference(res,[status(thm)],[126,29]) ).
thf(128,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ~ ! [SY23: $i] :
~ ~ ! [SY24: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY23 )
| ~ ( SV17 @ SY24 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SY23 @ SY24 ) ) ) )
= $true )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extuni,[status(esa)],[127]) ).
thf(129,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ~ ! [SY23: $i] :
~ ~ ! [SY24: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY23 )
| ~ ( SV17 @ SY24 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SY23 @ SY24 ) ) ) )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extuni,[status(esa)],[127]) ).
thf(130,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX1 )
| ~ ( SV17 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[127]) ).
thf(131,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX1 )
| ~ ( SV17 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) )
= sK1_X1 )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[127]) ).
thf(132,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ! [SY23: $i] :
~ ~ ! [SY24: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY23 )
| ~ ( SV17 @ SY24 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SY23 @ SY24 ) ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(133,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ! [SY23: $i] :
~ ~ ! [SY24: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY23 )
| ~ ( SV17 @ SY24 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SY23 @ SY24 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(134,plain,
! [SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ~ ! [SY25: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SY25 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SY25 ) ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(135,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ~ ! [SY26: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ SY26 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ SY26 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(136,plain,
! [SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ! [SY25: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SY25 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SY25 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(137,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ! [SY26: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ SY26 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ SY26 ) ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(138,plain,
! [SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ! [SY25: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SY25 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SY25 ) ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(139,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ! [SY26: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ SY26 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ SY26 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(140,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SV20 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(141,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ ( sK12_SY26 @ SV17 @ SV18 ) ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(142,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SV20 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(143,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ ( sK12_SY26 @ SV17 @ SV18 ) ) ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(144,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SV20 ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(145,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
| ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ ( sK12_SY26 @ SV17 @ SV18 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(146,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SV20 ) ) )
= $true )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(147,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(148,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ ( sK12_SY26 @ SV17 @ SV18 ) ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(149,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SV20 ) ) )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(150,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(151,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(152,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV19 )
| ~ ( SV17 @ SV20 ) )
= $true )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(153,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(154,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( sK10_E @ SV17 @ SV18 )
= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(155,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV19 ) )
= $true )
| ( ( ~ ( SV17 @ SV20 ) )
= $true )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(156,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(157,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ~ ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(158,plain,
! [SV20: $i,SV17: $i > $o,SV19: $i,SV18: $i > $o] :
( ( ( SV18 @ SV19 )
= $false )
| ( ( ~ ( SV17 @ SV20 ) )
= $true )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(159,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(160,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(161,plain,
! [SV19: $i,SV18: $i > $o,SV20: $i,SV17: $i > $o] :
( ( ( SV17 @ SV20 )
= $false )
| ( ( SV18 @ SV19 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
!= ( multiplication @ SV19 @ SV20 ) ) )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(162,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(163,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(164,plain,
! [SV20: $i,SV19: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= ( multiplication @ SV19 @ SV20 ) )
= $false )
| ( ( SV18 @ SV19 )
= $false )
| ( ( SV17 @ SV20 )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
| ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(165,plain,
! [SV19: $i,SV20: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( SV17 @ SV20 )
= $false )
| ( ( SV18 @ SV19 )
= $false )
| ( ( ( sK10_E @ SV17 @ SV18 )
= ( multiplication @ SV19 @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(166,plain,
! [SV19: $i,SV20: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $false )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( SV17 @ SV20 )
= $false )
| ( ( SV18 @ SV19 )
= $false )
| ( ( ( sK10_E @ SV17 @ SV18 )
= ( multiplication @ SV19 @ SV20 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(167,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( SV18 @ ( sK11_SY23 @ SV17 @ SV18 ) )
= $true ) ),
inference(sim,[status(thm)],[162]) ).
thf(168,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( SV17 @ ( sK12_SY26 @ SV17 @ SV18 ) )
= $true ) ),
inference(sim,[status(thm)],[163]) ).
thf(169,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK10_E @ SV17 @ SV18 )
= sK1_X1 )
= $true )
| ( ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= sK1_X1 )
= $false )
| ( ( ( sK10_E @ SV17 @ SV18 )
= ( multiplication @ ( sK11_SY23 @ SV17 @ SV18 ) @ ( sK12_SY26 @ SV17 @ SV18 ) ) )
= $true ) ),
inference(sim,[status(thm)],[154]) ).
thf(170,plain,
! [SV21: $i,SV22: $i] :
( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(rename,[status(thm)],[45]) ).
thf(173,plain,
! [SV21: $i,SV22: $i,SV17: $i > $o,SV18: $i > $o] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 )
= ( ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX1 )
| ~ ( SV17 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[170,126]) ).
thf(174,plain,
! [SV21: $i,SV22: $i,SV16: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 )
= ( ( sup
@ ^ [SX0: $i] : ( SX0 = SV16 ) )
= SV16 ) )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[170,114]) ).
thf(175,plain,
! [SV21: $i,SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 )
= ( ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[170,64]) ).
thf(176,plain,
! [SV21: $i,SV22: $i,SV12: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 )
= ( ( multiplication @ one @ SV12 )
= SV12 ) )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[170,48]) ).
thf(177,plain,
! [SV21: $i,SV22: $i,SV11: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 )
= ( ( multiplication @ SV11 @ one )
= SV11 ) )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[170,47]) ).
thf(179,plain,
! [SV21: $i,SV22: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 )
= ( ( sup
@ ^ [SX0: $i] : $false )
= zero ) )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[170,22]) ).
thf(180,plain,
! [SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0
= ( sup
@ ^ [SX1: $i] : $false ) ) ) )
= zero )
= $false ) ),
inference(extuni,[status(esa)],[179:[bind(SV21,$thf( sup @ ^ [SX0: $i] : $false ))]]) ).
thf(181,plain,
! [SV22: $i] :
( ( ( leq @ SV22 @ zero )
= $true )
| ( ( ( ( sK13_E @ zero @ SV22 )
= SV22 )
| ( ( sK13_E @ zero @ SV22 )
= zero ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[179:[bind(SV21,$thf( zero ))]]) ).
thf(183,plain,
! [SV22: $i] :
( ( ( leq @ SV22 @ zero )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = zero ) ) )
= ( sup
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[179:[bind(SV21,$thf( zero ))]]) ).
thf(184,plain,
! [SV11: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV11 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV11 ) ) )
= ( multiplication @ SV11 @ one ) )
= $false ) ),
inference(extuni,[status(esa)],[177:[bind(SV21,$thf( SV11 ))]]) ).
thf(185,plain,
! [SV12: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV12 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV12 ) ) )
= ( multiplication @ one @ SV12 ) )
= $false ) ),
inference(extuni,[status(esa)],[176:[bind(SV21,$thf( SV12 ))]]) ).
thf(186,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
| ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) ) )
= $true )
| ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[175:[bind(SV21,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV13 @ SX1 ) | ( ( sup @ SX1 ) != SX0 ) ) ) ) ))]]) ).
thf(187,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
| ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) ) )
= $false )
| ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[175:[bind(SV21,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV13 @ SX1 ) | ( ( sup @ SX1 ) != SX0 ) ) ) ) ))]]) ).
thf(188,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[175:[bind(SV21,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV13 @ SX1 ) | ( ( sup @ SX1 ) != SX0 ) ) ) ) ))]]) ).
thf(189,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
| ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[175:[bind(SV21,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV13 @ SX1 ) | ~ ( SX1 @ SX0 ) ) ) ) ))]]) ).
thf(190,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
| ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[175:[bind(SV21,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV13 @ SX1 ) | ~ ( SX1 @ SX0 ) ) ) ) ))]]) ).
thf(191,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[175:[bind(SV21,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( SV13 @ SX1 ) | ~ ( SX1 @ SX0 ) ) ) ) ))]]) ).
thf(192,plain,
! [SV16: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV16 )
= $true )
| ( ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV22 )
| ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 ) )
= $true )
| ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $true ) ),
inference(extuni,[status(esa)],[174:[bind(SV21,$thf( SV16 ))]]) ).
thf(193,plain,
! [SV16: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV16 )
= $true )
| ( ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV22 )
| ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 ) )
= $false )
| ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $false ) ),
inference(extuni,[status(esa)],[174:[bind(SV21,$thf( SV16 ))]]) ).
thf(194,plain,
! [SV16: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV16 )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV16 ) ) )
= ( sup
@ ^ [SX0: $i] : ( SX0 = SV16 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[174:[bind(SV21,$thf( SV16 ))]]) ).
thf(195,plain,
! [SV17: $i > $o,SV18: $i > $o,SV22: $i] :
( ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) ) )
= $true )
| ( ( ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[173:[bind(SV21,$thf( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ))]]) ).
thf(196,plain,
! [SV17: $i > $o,SV18: $i > $o,SV22: $i] :
( ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) ) )
= $false )
| ( ( ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[173:[bind(SV21,$thf( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ))]]) ).
thf(197,plain,
! [SV17: $i > $o,SV18: $i > $o,SV22: $i] :
( ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) ) ) )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX1 )
| ~ ( SV17 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[173:[bind(SV21,$thf( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ))]]) ).
thf(198,plain,
! [SV17: $i > $o,SV18: $i > $o,SV22: $i] :
( ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX1 )
| ~ ( SV17 @ SX2 ) )
| ( SX0
!= ( multiplication @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SX2 )
| ~ ( SV17 @ SX3 ) )
| ( SX1
!= ( multiplication @ SX2 @ SX3 ) ) ) ) ) ) )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[173:[bind(SV21,$thf( sup @ ^ [SX0: $i] : ~ ( ! [SX1: $i] : ~ ( ~ ( ! [SX2: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV18 @ SX1 ) | ~ ( SV17 @ SX2 ) ) ) | ( SX0 != ( multiplication @ SX1 @ SX2 ) ) ) ) ) ) ) ))]]) ).
thf(201,plain,
! [SV22: $i] :
( ( ( ( sK13_E @ zero @ SV22 )
= SV22 )
= $true )
| ( ( ( sK13_E @ zero @ SV22 )
= zero )
= $true )
| ( ( leq @ SV22 @ zero )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(202,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(203,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(204,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(205,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(206,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(207,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(208,plain,
! [SV22: $i,SV16: $i] :
( ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV22 )
= $false )
| ( ( leq @ SV22 @ SV16 )
= $true )
| ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(209,plain,
! [SV22: $i,SV16: $i] :
( ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $false )
| ( ( leq @ SV22 @ SV16 )
= $true )
| ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(210,plain,
! [SV22: $i,SV16: $i] :
( ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV22 )
= $true )
| ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $true )
| ( ( leq @ SV22 @ SV16 )
= $true )
| ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(211,plain,
! [SV22: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(212,plain,
! [SV22: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(213,plain,
! [SV22: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ~ ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(215,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(216,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ( SV13 @ SX0 )
| ( ( sup @ SX0 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(217,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(218,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(219,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ! [SY27: $i > $o] :
~ ~ ( ~ ( SV13 @ SY27 )
| ~ ( SY27 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(220,plain,
! [SV22: $i,SV17: $i > $o,SV18: $i > $o] :
( ( ( ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(221,plain,
! [SV22: $i,SV17: $i > $o,SV18: $i > $o] :
( ( ( ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(222,plain,
! [SV22: $i,SV17: $i > $o,SV18: $i > $o] :
( ( ( ! [SY31: $i] :
~ ~ ! [SY32: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SY31 )
| ~ ( SV17 @ SY32 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SY31 @ SY32 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(223,plain,
! [SV22: $i,SV23: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ SV23 )
| ( ( sup @ SV23 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(224,plain,
! [SV22: $i,SV24: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ SV24 )
| ( ( sup @ SV24 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(225,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK18_SX0 @ SV22 @ SV13 ) )
| ( ( sup @ ( sK18_SX0 @ SV22 @ SV13 ) )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[216]) ).
thf(226,plain,
! [SV22: $i,SV25: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ SV25 )
| ~ ( SV25 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(227,plain,
! [SV22: $i,SV26: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ SV26 )
| ~ ( SV26 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV13 @ ( sK19_SY27 @ SV22 @ SV13 ) )
| ~ ( sK19_SY27 @ SV22 @ SV13 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(229,plain,
! [SV22: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ~ ! [SY39: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SY39 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SY39 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(230,plain,
! [SV22: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ~ ! [SY40: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SY40 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SY40 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ~ ! [SY41: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ SY41 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ SY41 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[222]) ).
thf(232,plain,
! [SV22: $i,SV23: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ SV23 )
| ( ( sup @ SV23 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(233,plain,
! [SV22: $i,SV24: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ SV24 )
| ( ( sup @ SV24 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ ( sK18_SX0 @ SV22 @ SV13 ) )
| ( ( sup @ ( sK18_SX0 @ SV22 @ SV13 ) )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(235,plain,
! [SV22: $i,SV25: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ SV25 )
| ~ ( SV25 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(236,plain,
! [SV22: $i,SV26: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ SV26 )
| ~ ( SV26 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(237,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV13 @ ( sK19_SY27 @ SV22 @ SV13 ) )
| ~ ( sK19_SY27 @ SV22 @ SV13 @ ( sK14_E @ SV13 @ SV22 ) ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(238,plain,
! [SV22: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ! [SY39: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SY39 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SY39 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(239,plain,
! [SV22: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ! [SY40: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SY40 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SY40 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(240,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ! [SY41: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ SY41 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ SY41 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(241,plain,
! [SV22: $i,SV23: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV23 )
| ( ( sup @ SV23 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(242,plain,
! [SV22: $i,SV24: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV24 )
| ( ( sup @ SV24 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(243,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK18_SX0 @ SV22 @ SV13 ) )
| ( ( sup @ ( sK18_SX0 @ SV22 @ SV13 ) )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(244,plain,
! [SV22: $i,SV25: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV25 )
| ~ ( SV25 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(245,plain,
! [SV22: $i,SV26: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV26 )
| ~ ( SV26 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(246,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK19_SY27 @ SV22 @ SV13 ) )
| ~ ( sK19_SY27 @ SV22 @ SV13 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(247,plain,
! [SV22: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ! [SY39: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SY39 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SY39 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(248,plain,
! [SV22: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ! [SY40: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SY40 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SY40 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(249,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ! [SY41: $i] :
~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ SY41 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ SY41 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(250,plain,
! [SV22: $i,SV23: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV23 ) )
= $true )
| ( ( ( ( sup @ SV23 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(251,plain,
! [SV22: $i,SV24: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV24 ) )
= $true )
| ( ( ( ( sup @ SV24 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(252,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK18_SX0 @ SV22 @ SV13 ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(253,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( ( ( sup @ ( sK18_SX0 @ SV22 @ SV13 ) )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[243]) ).
thf(254,plain,
! [SV22: $i,SV25: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV25 ) )
= $true )
| ( ( ~ ( SV25 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(255,plain,
! [SV22: $i,SV26: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ SV26 ) )
= $true )
| ( ( ~ ( SV26 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(256,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( ~ ( SV13 @ ( sK19_SY27 @ SV22 @ SV13 ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(257,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( ~ ( sK19_SY27 @ SV22 @ SV13 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(258,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SV29 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(259,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SV30 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(260,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[249]) ).
thf(261,plain,
! [SV22: $i,SV23: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ SV23 )
= $false )
| ( ( ( ( sup @ SV23 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(262,plain,
! [SV22: $i,SV24: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ SV24 )
= $false )
| ( ( ( ( sup @ SV24 )
!= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(263,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ ( sK18_SX0 @ SV22 @ SV13 ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(264,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( ( sup @ ( sK18_SX0 @ SV22 @ SV13 ) )
= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(265,plain,
! [SV22: $i,SV25: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ SV25 )
= $false )
| ( ( ~ ( SV25 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(266,plain,
! [SV22: $i,SV26: $i > $o,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ SV26 )
= $false )
| ( ( ~ ( SV26 @ ( sK14_E @ SV13 @ SV22 ) ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(267,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o] :
( ( ( SV13 @ ( sK19_SY27 @ SV22 @ SV13 ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(268,plain,
! [SV13: ( $i > $o ) > $o,SV22: $i] :
( ( ( sK19_SY27 @ SV22 @ SV13 @ ( sK14_E @ SV13 @ SV22 ) )
= $true )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(269,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SV29 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(270,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SV30 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(271,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(272,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o,SV23: $i > $o] :
( ( ( ( sup @ SV23 )
= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) )
= $false )
| ( ( SV13 @ SV23 )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(273,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o,SV24: $i > $o] :
( ( ( ( sup @ SV24 )
= ( sK15_E @ SV13
@ ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ~ ( SX2 @ SX1 ) ) )
@ SV22 ) )
= $false )
| ( ( SV13 @ SV24 )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $true )
| ( ( ( sK15_E @ SV13
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) )
@ SV22 )
= ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ~ ( SX1 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o,SV25: $i > $o] :
( ( ( SV25 @ ( sK14_E @ SV13 @ SV22 ) )
= $false )
| ( ( SV13 @ SV25 )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(275,plain,
! [SV22: $i,SV13: ( $i > $o ) > $o,SV26: $i > $o] :
( ( ( SV26 @ ( sK14_E @ SV13 @ SV22 ) )
= $false )
| ( ( SV13 @ SV26 )
= $false )
| ( ( leq @ SV22
@ ( sup
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ( SV13 @ SX1 )
| ( ( sup @ SX1 )
!= SX0 ) ) ) )
= $true )
| ( ( ( sK14_E @ SV13 @ SV22 )
= ( sup
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ( SV13 @ SX2 )
| ( ( sup @ SX2 )
!= SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(276,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SV29 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(277,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SV30 ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(278,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) )
| ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(279,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SV29 ) ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(280,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SV30 ) ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(281,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(282,plain,
! [SV22: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(283,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SV29 ) ) )
= $false )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(284,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SV30 ) ) )
= $false )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(285,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(286,plain,
! [SV22: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(287,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV27 )
| ~ ( SV17 @ SV29 ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(288,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV28 )
| ~ ( SV17 @ SV30 ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(289,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
| ~ ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(290,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV27 ) )
= $true )
| ( ( ~ ( SV17 @ SV29 ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(291,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ SV28 ) )
= $true )
| ( ( ~ ( SV17 @ SV30 ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(292,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( ~ ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(293,plain,
! [SV18: $i > $o,SV22: $i,SV17: $i > $o] :
( ( ( ~ ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) ) )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(294,plain,
! [SV22: $i,SV29: $i,SV17: $i > $o,SV27: $i,SV18: $i > $o] :
( ( ( SV18 @ SV27 )
= $false )
| ( ( ~ ( SV17 @ SV29 ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(295,plain,
! [SV22: $i,SV30: $i,SV17: $i > $o,SV28: $i,SV18: $i > $o] :
( ( ( SV18 @ SV28 )
= $false )
| ( ( ~ ( SV17 @ SV30 ) )
= $true )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(296,plain,
! [SV17: $i > $o,SV22: $i,SV18: $i > $o] :
( ( ( SV18 @ ( sK20_SY31 @ SV22 @ SV17 @ SV18 ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(297,plain,
! [SV18: $i > $o,SV22: $i,SV17: $i > $o] :
( ( ( SV17 @ ( sK21_SY41 @ SV17 @ SV22 @ SV18 ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(298,plain,
! [SV22: $i,SV27: $i,SV18: $i > $o,SV29: $i,SV17: $i > $o] :
( ( ( SV17 @ SV29 )
= $false )
| ( ( SV18 @ SV27 )
= $false )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV27 @ SV29 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(299,plain,
! [SV22: $i,SV28: $i,SV18: $i > $o,SV30: $i,SV17: $i > $o] :
( ( ( SV17 @ SV30 )
= $false )
| ( ( SV18 @ SV28 )
= $false )
| ( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
!= ( multiplication @ SV28 @ SV30 ) ) )
= $true )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(300,plain,
! [SV29: $i,SV27: $i,SV22: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ SV27 @ SV29 ) )
= $false )
| ( ( SV18 @ SV27 )
= $false )
| ( ( SV17 @ SV29 )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(301,plain,
! [SV30: $i,SV28: $i,SV22: $i,SV18: $i > $o,SV17: $i > $o] :
( ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ SV28 @ SV30 ) )
= $false )
| ( ( SV18 @ SV28 )
= $false )
| ( ( SV17 @ SV30 )
= $false )
| ( ( leq @ SV22 @ ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $true )
| ( ( ( sK17_E @ SV17 @ SV18 @ SV22 )
= ( multiplication @ ( sup @ SV18 ) @ ( sup @ SV17 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(302,plain,
! [SV22: $i] :
( ( ( ( sK13_E @ zero @ SV22 )
= SV22 )
= $true )
| ( ( ( sK13_E @ zero @ SV22 )
= zero )
= $true )
| ( ( leq @ SV22 @ zero )
= $true ) ),
inference(sim,[status(thm)],[201]) ).
thf(303,plain,
! [SV22: $i,SV16: $i] :
( ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $false )
| ( ( leq @ SV22 @ SV16 )
= $true ) ),
inference(sim,[status(thm)],[209]) ).
thf(304,plain,
! [SV22: $i,SV16: $i] :
( ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV22 )
= $true )
| ( ( ( sK16_E @ SV16 @ SV16 @ SV22 )
= SV16 )
= $true )
| ( ( leq @ SV22 @ SV16 )
= $true ) ),
inference(sim,[status(thm)],[210]) ).
thf(305,plain,
! [SV31: $i,SV32: $i] :
( ( ( leq @ SV32 @ SV31 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV32 )
| ( SX0 = SV31 ) ) )
= SV31 )
= $true ) ),
inference(rename,[status(thm)],[46]) ).
thf(309,plain,
! [SV31: $i,SV32: $i,SV21: $i,SV22: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV32 )
| ( SX0 = SV31 ) ) )
= SV31 )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) )
= SV21 ) )
= $false )
| ( ( leq @ SV32 @ SV31 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[305,170]) ).
thf(315,plain,
! [SV31: $i,SV32: $i] :
( ( ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV32 )
| ( SX0 = SV31 ) ) )
= SV31 )
= ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) )
= sK1_X1 ) )
= $false )
| ( ( leq @ SV32 @ SV31 )
= $false ) ),
inference(res,[status(thm)],[305,29]) ).
thf(317,plain,
! [SV32: $i] :
( ( ( leq @ SV32
@ ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV32 )
| ( SX0
= ( sup
@ ^ [SX1: $i] :
( ( SX1 = sK1_X1 )
| ( SX1 = sK1_X1 ) ) ) ) ) )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sup @ ^ [SX0: $i] : ( ( SX0 = sK1_X1 ) | ( SX0 = sK1_X1 ) ) ))]]) ).
thf(318,plain,
( ( leq @ sK1_X1 @ sK1_X1 )
= $false ),
inference(extuni,[status(esa)],[315:[bind(SV32,$thf( sK1_X1 )),bind(SV31,$thf( sK1_X1 ))]]) ).
thf(319,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(320,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(321,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $true ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 )),bind(SV32,$thf( sK1_X1 ))]]) ).
thf(322,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(324,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 )),bind(SV32,$thf( sK1_X1 ))]]) ).
thf(326,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(327,plain,
( ( leq @ sK1_X1 @ sK1_X1 )
= $false ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 )),bind(SV32,$thf( sK1_X1 ))]]) ).
thf(328,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $true ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 )),bind(SV32,$thf( sK1_X1 ))]]) ).
thf(329,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 )),bind(SV32,$thf( sK1_X1 ))]]) ).
thf(330,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(331,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(333,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(335,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(336,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
| ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 ) )
= $true )
| ( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
| ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 ) )
= $true ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(337,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
| ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 ) )
= $false )
| ( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
| ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 ) )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(338,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV32 )
| ( SX0 = sK1_X1 ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = sK1_X1 )
| ( SX0 = sK1_X1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[315:[bind(SV31,$thf( sK1_X1 ))]]) ).
thf(340,plain,
! [SV32: $i,SV21: $i] :
( ( ( leq @ SV21 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV21 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV21 @ SV21 @ SV32 )
= SV21 )
= $true ) ),
inference(extuni,[status(esa)],[309:[bind(SV22,$thf( SV21 )),bind(SV31,$thf( SV21 ))]]) ).
thf(341,plain,
! [SV32: $i,SV21: $i] :
( ( ( leq @ SV21 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV21 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV21 @ SV21 @ SV32 )
= SV21 )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV22,$thf( SV21 )),bind(SV31,$thf( SV21 ))]]) ).
thf(342,plain,
! [SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV21 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV21 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV21 )
= SV22 )
= $true ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 )),bind(SV32,$thf( SV21 ))]]) ).
thf(343,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(345,plain,
! [SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV21 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV21 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV21 )
= SV22 )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 )),bind(SV32,$thf( SV21 ))]]) ).
thf(347,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(351,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(352,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(353,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(354,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(355,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(356,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(357,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
| ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 ) )
= $true )
| ( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
| ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 ) )
= $true ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(358,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
| ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 ) )
= $false )
| ( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
| ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 ) )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(359,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV32 )
| ( SX0 = SV21 ) ) )
= ( sup
@ ^ [SX0: $i] :
( ( SX0 = SV22 )
| ( SX0 = SV21 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[309:[bind(SV31,$thf( SV21 ))]]) ).
thf(360,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
| ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(361,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
| ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(362,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
| ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(363,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
| ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(364,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
| ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(365,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
| ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(366,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(367,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(368,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(369,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(370,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(371,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(372,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(373,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(374,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(375,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(376,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false ) ),
inference(sim,[status(thm)],[368]) ).
thf(377,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( leq @ SV32 @ sK1_X1 )
= $false ) ),
inference(sim,[status(thm)],[369]) ).
thf(378,plain,
! [SV32: $i] :
( ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true ) ),
inference(sim,[status(thm)],[370]) ).
thf(379,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false ) ),
inference(sim,[status(thm)],[335]) ).
thf(380,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true ) ),
inference(sim,[status(thm)],[331]) ).
thf(381,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $false ) ),
inference(sim,[status(thm)],[329]) ).
thf(382,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $true ) ),
inference(sim,[status(thm)],[328]) ).
thf(383,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $false ) ),
inference(sim,[status(thm)],[326]) ).
thf(384,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $false ) ),
inference(sim,[status(thm)],[324]) ).
thf(385,plain,
! [SV32: $i] :
( ( ( leq @ SV32 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK23_E @ sK1_X1 @ SV32 )
= sK1_X1 )
= $true ) ),
inference(sim,[status(thm)],[322]) ).
thf(386,plain,
( ( ( leq @ sK1_X1 @ sK1_X1 )
= $false )
| ( ( ( sK23_E @ sK1_X1 @ sK1_X1 )
= sK1_X1 )
= $true ) ),
inference(sim,[status(thm)],[321]) ).
thf(387,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false ) ),
inference(sim,[status(thm)],[374]) ).
thf(388,plain,
! [SV32: $i,SV22: $i,SV21: $i] :
( ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true ) ),
inference(sim,[status(thm)],[375]) ).
thf(389,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false ) ),
inference(sim,[status(thm)],[356]) ).
thf(390,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false ) ),
inference(sim,[status(thm)],[355]) ).
thf(391,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true ) ),
inference(sim,[status(thm)],[353]) ).
thf(392,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true ) ),
inference(sim,[status(thm)],[352]) ).
thf(393,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $false ) ),
inference(sim,[status(thm)],[347]) ).
thf(394,plain,
! [SV32: $i,SV21: $i,SV22: $i] :
( ( ( leq @ SV22 @ SV21 )
= $true )
| ( ( leq @ SV32 @ SV21 )
= $false )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV32 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV21 )
= $true )
| ( ( ( sK24_E @ SV21 @ SV22 @ SV21 @ SV32 )
= SV22 )
= $true ) ),
inference(sim,[status(thm)],[343]) ).
thf(395,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,394,393,392,391,390,389,388,387,386,385,384,383,382,381,380,379,378,377,376,373,372,371,367,366,359,354,351,345,342,341,340,338,333,330,327,320,319,318,317,305,304,303,302,301,300,297,296,286,275,274,273,272,268,267,264,263,208,198,197,194,191,188,185,184,183,180,170,169,168,167,166,165,131,130,126,125,124,123,119,116,114,113,112,111,110,109,108,107,106,71,68,64,63,59,58,57,56,55,52,48,47,29]) ).
thf(396,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : QUA004^1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 11:04:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 7
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 1115
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: true
% 0.12/0.35 (rf:0,axioms:7,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)....eprover: CPU time limit exceeded, terminating
% 25.21/25.48 ......................................
% 28.89/29.14
% 28.89/29.14 ********************************
% 28.89/29.14 * All subproblems solved! *
% 28.89/29.14 ********************************
% 28.89/29.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:395,loop_count:10,foatp_calls:2,translation:fof_full)
% 29.03/29.21
% 29.03/29.21 %**** Beginning of derivation protocol ****
% 29.03/29.21 % SZS output start CNFRefutation
% See solution above
% 29.03/29.21
% 29.03/29.21 %**** End of derivation protocol ****
% 29.03/29.21 %**** no. of clauses in derivation: 368 ****
% 29.03/29.21 %**** clause counter: 395 ****
% 29.03/29.21
% 29.03/29.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:395,loop_count:10,foatp_calls:2,translation:fof_full)
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