TSTP Solution File: SYO537^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO537^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n003.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 : Thu Jul 21 17:35:26 EDT 2022
% Result : Theorem 1.07s 1.32s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 54
% Syntax : Number of formulae : 318 ( 36 unt; 51 typ; 2 def)
% Number of atoms : 2152 ( 613 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 4433 (1393 ~; 292 |; 0 &;2745 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1587 (1587 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 51 usr; 18 con; 0-3 aty)
% Number of variables : 1459 ( 448 ^1002 !; 9 ?;1459 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_epsa,type,
epsa: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_epsb,type,
epsb: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_epsii,type,
epsii: ( ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK10_E,type,
sK10_E: $i ).
thf(tp_sK11_E,type,
sK11_E: $i > $i ).
thf(tp_sK12_SY70,type,
sK12_SY70: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK13_SY75,type,
sK13_SY75: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK14_SY88,type,
sK14_SY88: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK15_E,type,
sK15_E: ( $i > $i ) > $i ).
thf(tp_sK16_E,type,
sK16_E: $i ).
thf(tp_sK17_E,type,
sK17_E: $i ).
thf(tp_sK18_E,type,
sK18_E: $i ).
thf(tp_sK19_SY113,type,
sK19_SY113: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK1_R,type,
sK1_R: ( $i > $i ) > ( $i > $i ) > $o ).
thf(tp_sK20_E,type,
sK20_E: ( $i > $i ) > ( $i > $i ) > $i ).
thf(tp_sK21_E,type,
sK21_E: $i ).
thf(tp_sK22_E,type,
sK22_E: $i ).
thf(tp_sK23_E,type,
sK23_E: $i ).
thf(tp_sK24_SY131,type,
sK24_SY131: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK25_E,type,
sK25_E: ( $i > $i ) > ( $i > $i ) > $i ).
thf(tp_sK26_E,type,
sK26_E: $i ).
thf(tp_sK27_E,type,
sK27_E: $i > $i ).
thf(tp_sK28_E,type,
sK28_E: $i > $i ).
thf(tp_sK29_E,type,
sK29_E: $i > $i ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i > $i ).
thf(tp_sK30_E,type,
sK30_E: $i > $i ).
thf(tp_sK31_E,type,
sK31_E: $i > $i ).
thf(tp_sK32_E,type,
sK32_E: $i > $i ).
thf(tp_sK33_E,type,
sK33_E: $i > $i ).
thf(tp_sK34_E,type,
sK34_E: $i > $i ).
thf(tp_sK35_E,type,
sK35_E: $i ).
thf(tp_sK36_E,type,
sK36_E: $i ).
thf(tp_sK37_E,type,
sK37_E: $i ).
thf(tp_sK38_SY164,type,
sK38_SY164: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK39_E,type,
sK39_E: ( $i > $i ) > ( $i > $i ) > $i ).
thf(tp_sK3_SY2,type,
sK3_SY2: $i > $i ).
thf(tp_sK40_E,type,
sK40_E: $i ).
thf(tp_sK41_E,type,
sK41_E: $i ).
thf(tp_sK42_E,type,
sK42_E: $i ).
thf(tp_sK43_SY182,type,
sK43_SY182: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK44_E,type,
sK44_E: ( $i > $i ) > ( $i > $i ) > $i ).
thf(tp_sK45_SY201,type,
sK45_SY201: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK46_SY206,type,
sK46_SY206: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK47_E,type,
sK47_E: $i > $i ).
thf(tp_sK48_SY215,type,
sK48_SY215: $i > $i ).
thf(tp_sK4_SY8,type,
sK4_SY8: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK5_SY21,type,
sK5_SY21: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK6_SY34,type,
sK6_SY34: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK7_SY47,type,
sK7_SY47: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK9_E,type,
sK9_E: $i ).
thf(epsa,definition,
( epsa
= ( ^ [R: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [X: $i > $i] :
? [Y: $i > $i] : ( R @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsa) ).
thf(epsb,definition,
( epsb
= ( ^ [R: ( $i > $i ) > ( $i > $i ) > $o] :
( epsii
@ ^ [Y: $i > $i] : ( R @ ( epsa @ R ) @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsb) ).
thf(2,conjecture,
! [R: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X: $i > $i,Y: $i > $i] : ( R @ X @ Y )
=> ( R @ ( epsa @ R ) @ ( epsb @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(3,negated_conjecture,
( ( ! [R: ( $i > $i ) > ( $i > $i ) > $o] :
( ? [X: $i > $i,Y: $i > $i] : ( R @ X @ Y )
=> ( R @ ( epsa @ R ) @ ( epsb @ R ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ? [SY0: $i > $i,SY1: $i > $i] : ( sK1_R @ SY0 @ SY1 )
=> ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ? [SY0: $i > $i,SY1: $i > $i] : ( sK1_R @ SY0 @ SY1 ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( sK1_R @ sK2_SY0 @ sK3_SY2 )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( sK1_R @ sK2_SY0 @ sK3_SY2 )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( sK1_R @ ( epsa @ sK1_R ) @ ( epsb @ sK1_R ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(13,plain,
( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,epsa,epsb]) ).
thf(15,plain,
( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(19,plain,
( ( ~ ~ ! [SY4: $i > $i] :
~ ~ ! [SY5: $i > $i] :
~ ( sK1_R @ SY4 @ SY5 )
| ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(20,plain,
( ( ~ ~ ! [SY9: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY9 )
| ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(21,plain,
( ( ~ ~ ! [SY17: $i > $i] :
~ ~ ! [SY18: $i > $i] :
~ ( sK1_R @ SY17 @ SY18 )
| ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(22,plain,
( ( ( ~ ~ ! [SY4: $i > $i] :
~ ~ ! [SY5: $i > $i] :
~ ( sK1_R @ SY4 @ SY5 ) )
= $true )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ( ~ ~ ! [SY9: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY9 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ( ~ ~ ! [SY17: $i > $i] :
~ ~ ! [SY18: $i > $i] :
~ ( sK1_R @ SY17 @ SY18 ) )
= $true )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ( ~ ! [SY4: $i > $i] :
~ ~ ! [SY5: $i > $i] :
~ ( sK1_R @ SY4 @ SY5 ) )
= $false )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ( ~ ! [SY9: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY9 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ( ~ ! [SY17: $i > $i] :
~ ~ ! [SY18: $i > $i] :
~ ( sK1_R @ SY17 @ SY18 ) )
= $false )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ( ! [SY4: $i > $i] :
~ ~ ! [SY5: $i > $i] :
~ ( sK1_R @ SY4 @ SY5 ) )
= $true )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ( ! [SY9: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY9 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(30,plain,
( ( ( ! [SY17: $i > $i] :
~ ~ ! [SY18: $i > $i] :
~ ( sK1_R @ SY17 @ SY18 ) )
= $true )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV6: $i > $i] :
( ( ( ~ ~ ! [SY22: $i > $i] :
~ ( sK1_R @ SV6 @ SY22 ) )
= $true )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV7: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SV7 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV8: $i > $i] :
( ( ( ~ ~ ! [SY25: $i > $i] :
~ ( sK1_R @ SV8 @ SY25 ) )
= $true )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV6: $i > $i] :
( ( ( ~ ! [SY22: $i > $i] :
~ ( sK1_R @ SV6 @ SY22 ) )
= $false )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV7: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SV7 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV8: $i > $i] :
( ( ( ~ ! [SY25: $i > $i] :
~ ( sK1_R @ SV8 @ SY25 ) )
= $false )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV6: $i > $i] :
( ( ( ! [SY22: $i > $i] :
~ ( sK1_R @ SV6 @ SY22 ) )
= $true )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(38,plain,
! [SV8: $i > $i] :
( ( ( ! [SY25: $i > $i] :
~ ( sK1_R @ SV8 @ SY25 ) )
= $true )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(39,plain,
! [SV9: $i > $i,SV6: $i > $i] :
( ( ( ~ ( sK1_R @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV10: $i > $i,SV8: $i > $i] :
( ( ( ~ ( sK1_R @ SV8 @ SV10 ) )
= $true )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(41,plain,
! [SV9: $i > $i,SV6: $i > $i] :
( ( ( sK1_R @ SV6 @ SV9 )
= $false )
| ( ( ~ ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
! [SV10: $i > $i,SV8: $i > $i] :
( ( ( sK1_R @ SV8 @ SV10 )
= $false )
| ( ( ~ ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(43,plain,
! [SV9: $i > $i,SV6: $i > $i] :
( ( ( ! [SY8: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY8 ) )
= $false )
| ( ( sK1_R @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(44,plain,
! [SV10: $i > $i,SV8: $i > $i] :
( ( ( ! [SY21: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY21 ) )
= $false )
| ( ( sK1_R @ SV8 @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV6: $i > $i,SV9: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV9 @ SV6 ) ) )
= $false )
| ( ( sK1_R @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[43]) ).
thf(46,plain,
! [SV8: $i > $i,SV10: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK5_SY21 @ SV10 @ SV8 ) ) )
= $false )
| ( ( sK1_R @ SV8 @ SV10 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[44]) ).
thf(47,plain,
! [SV6: $i > $i,SV9: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV9 @ SV6 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(48,plain,
! [SV8: $i > $i,SV10: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK5_SY21 @ SV10 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV8 @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(49,plain,
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= ( sK1_R @ sK2_SY0 @ sK3_SY2 ) )
= $false ),
inference(res,[status(thm)],[15,11]) ).
thf(50,plain,
( ( ~ ~ ! [SY30: $i > $i] :
~ ~ ! [SY31: $i > $i] :
~ ( sK1_R @ SY30 @ SY31 )
| ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(52,plain,
( ( ~ ~ ! [SY43: $i > $i] :
~ ~ ! [SY44: $i > $i] :
~ ( sK1_R @ SY43 @ SY44 )
| ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ),
inference(choice,[status(thm)],[15]) ).
thf(53,plain,
( ( ( ~ ~ ! [SY30: $i > $i] :
~ ~ ! [SY31: $i > $i] :
~ ( sK1_R @ SY30 @ SY31 ) )
= $true )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(55,plain,
( ( ( ~ ~ ! [SY43: $i > $i] :
~ ~ ! [SY44: $i > $i] :
~ ( sK1_R @ SY43 @ SY44 ) )
= $true )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(56,plain,
( ( ( ~ ! [SY30: $i > $i] :
~ ~ ! [SY31: $i > $i] :
~ ( sK1_R @ SY30 @ SY31 ) )
= $false )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(58,plain,
( ( ( ~ ! [SY43: $i > $i] :
~ ~ ! [SY44: $i > $i] :
~ ( sK1_R @ SY43 @ SY44 ) )
= $false )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(59,plain,
( ( ( ! [SY30: $i > $i] :
~ ~ ! [SY31: $i > $i] :
~ ( sK1_R @ SY30 @ SY31 ) )
= $true )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( ( ! [SY43: $i > $i] :
~ ~ ! [SY44: $i > $i] :
~ ( sK1_R @ SY43 @ SY44 ) )
= $true )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(62,plain,
! [SV14: $i > $i] :
( ( ( ~ ~ ! [SY48: $i > $i] :
~ ( sK1_R @ SV14 @ SY48 ) )
= $true )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV16: $i > $i] :
( ( ( ~ ~ ! [SY51: $i > $i] :
~ ( sK1_R @ SV16 @ SY51 ) )
= $true )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(65,plain,
! [SV14: $i > $i] :
( ( ( ~ ! [SY48: $i > $i] :
~ ( sK1_R @ SV14 @ SY48 ) )
= $false )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV16: $i > $i] :
( ( ( ~ ! [SY51: $i > $i] :
~ ( sK1_R @ SV16 @ SY51 ) )
= $false )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV14: $i > $i] :
( ( ( ! [SY48: $i > $i] :
~ ( sK1_R @ SV14 @ SY48 ) )
= $true )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(69,plain,
! [SV16: $i > $i] :
( ( ( ! [SY51: $i > $i] :
~ ( sK1_R @ SV16 @ SY51 ) )
= $true )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(70,plain,
! [SV17: $i > $i,SV14: $i > $i] :
( ( ( ~ ( sK1_R @ SV14 @ SV17 ) )
= $true )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(71,plain,
! [SV18: $i > $i,SV16: $i > $i] :
( ( ( ~ ( sK1_R @ SV16 @ SV18 ) )
= $true )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(72,plain,
! [SV17: $i > $i,SV14: $i > $i] :
( ( ( sK1_R @ SV14 @ SV17 )
= $false )
| ( ( ~ ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(73,plain,
! [SV18: $i > $i,SV16: $i > $i] :
( ( ( sK1_R @ SV16 @ SV18 )
= $false )
| ( ( ~ ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(74,plain,
! [SV17: $i > $i,SV14: $i > $i] :
( ( ( ! [SY34: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY34 ) )
= $false )
| ( ( sK1_R @ SV14 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV18: $i > $i,SV16: $i > $i] :
( ( ( ! [SY47: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY47 ) )
= $false )
| ( ( sK1_R @ SV16 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV14: $i > $i,SV17: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV17 @ SV14 ) ) )
= $false )
| ( ( sK1_R @ SV14 @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[74]) ).
thf(77,plain,
! [SV16: $i > $i,SV18: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK7_SY47 @ SV18 @ SV16 ) ) )
= $false )
| ( ( sK1_R @ SV16 @ SV18 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[75]) ).
thf(78,plain,
! [SV14: $i > $i,SV17: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV17 @ SV14 ) )
= $true )
| ( ( sK1_R @ SV14 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(79,plain,
! [SV16: $i > $i,SV18: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK7_SY47 @ SV18 @ SV16 ) )
= $true )
| ( ( sK1_R @ SV16 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(80,plain,
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ sK9_E )
= ( sK3_SY2 @ sK9_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extuni,[status(esa)],[49]) ).
thf(81,plain,
! [SV19: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(rename,[status(thm)],[35]) ).
thf(84,plain,
! [SV19: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false ) ),
inference(res,[status(thm)],[81,15]) ).
thf(85,plain,
! [SV19: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= ( sK1_R @ sK2_SY0 @ sK3_SY2 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[81,11]) ).
thf(86,plain,
( ( ~ ~ ! [SY66: $i > $i] :
~ ~ ! [SY67: $i > $i] :
~ ( sK1_R @ SY66 @ SY67 )
| ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ),
inference(choice,[status(thm)],[81]) ).
thf(87,plain,
( ( ~ ~ ! [SY71: $i > $i] :
~ ~ ! [SY72: $i > $i] :
~ ( sK1_R @ SY71 @ SY72 )
| ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ),
inference(choice,[status(thm)],[81]) ).
thf(88,plain,
( ( ~ ~ ! [SY76: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY76 )
| ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(choice,[status(thm)],[81]) ).
thf(89,plain,
( ( ~ ~ ! [SY84: $i > $i] :
~ ~ ! [SY85: $i > $i] :
~ ( sK1_R @ SY84 @ SY85 )
| ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ),
inference(choice,[status(thm)],[81]) ).
thf(90,plain,
( ( ( ~ ~ ! [SY66: $i > $i] :
~ ~ ! [SY67: $i > $i] :
~ ( sK1_R @ SY66 @ SY67 ) )
= $true )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(91,plain,
( ( ( ~ ~ ! [SY71: $i > $i] :
~ ~ ! [SY72: $i > $i] :
~ ( sK1_R @ SY71 @ SY72 ) )
= $true )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(92,plain,
( ( ( ~ ~ ! [SY76: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY76 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(93,plain,
( ( ( ~ ~ ! [SY84: $i > $i] :
~ ~ ! [SY85: $i > $i] :
~ ( sK1_R @ SY84 @ SY85 ) )
= $true )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(94,plain,
( ( ( ~ ! [SY66: $i > $i] :
~ ~ ! [SY67: $i > $i] :
~ ( sK1_R @ SY66 @ SY67 ) )
= $false )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(95,plain,
( ( ( ~ ! [SY71: $i > $i] :
~ ~ ! [SY72: $i > $i] :
~ ( sK1_R @ SY71 @ SY72 ) )
= $false )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(96,plain,
( ( ( ~ ! [SY76: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY76 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(97,plain,
( ( ( ~ ! [SY84: $i > $i] :
~ ~ ! [SY85: $i > $i] :
~ ( sK1_R @ SY84 @ SY85 ) )
= $false )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(98,plain,
( ( ( ! [SY66: $i > $i] :
~ ~ ! [SY67: $i > $i] :
~ ( sK1_R @ SY66 @ SY67 ) )
= $true )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(99,plain,
( ( ( ! [SY71: $i > $i] :
~ ~ ! [SY72: $i > $i] :
~ ( sK1_R @ SY71 @ SY72 ) )
= $true )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(100,plain,
( ( ( ! [SY76: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY76 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(101,plain,
( ( ( ! [SY84: $i > $i] :
~ ~ ! [SY85: $i > $i] :
~ ( sK1_R @ SY84 @ SY85 ) )
= $true )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(102,plain,
! [SV24: $i > $i] :
( ( ( ~ ~ ! [SY89: $i > $i] :
~ ( sK1_R @ SV24 @ SY89 ) )
= $true )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV25: $i > $i] :
( ( ( ~ ~ ! [SY90: $i > $i] :
~ ( sK1_R @ SV25 @ SY90 ) )
= $true )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV26: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SV26 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV27: $i > $i] :
( ( ( ~ ~ ! [SY93: $i > $i] :
~ ( sK1_R @ SV27 @ SY93 ) )
= $true )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV24: $i > $i] :
( ( ( ~ ! [SY89: $i > $i] :
~ ( sK1_R @ SV24 @ SY89 ) )
= $false )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV25: $i > $i] :
( ( ( ~ ! [SY90: $i > $i] :
~ ( sK1_R @ SV25 @ SY90 ) )
= $false )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV26: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SV26 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV27: $i > $i] :
( ( ( ~ ! [SY93: $i > $i] :
~ ( sK1_R @ SV27 @ SY93 ) )
= $false )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV24: $i > $i] :
( ( ( ! [SY89: $i > $i] :
~ ( sK1_R @ SV24 @ SY89 ) )
= $true )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
! [SV25: $i > $i] :
( ( ( ! [SY90: $i > $i] :
~ ( sK1_R @ SV25 @ SY90 ) )
= $true )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(112,plain,
! [SV27: $i > $i] :
( ( ( ! [SY93: $i > $i] :
~ ( sK1_R @ SV27 @ SY93 ) )
= $true )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(113,plain,
! [SV28: $i > $i,SV24: $i > $i] :
( ( ( ~ ( sK1_R @ SV24 @ SV28 ) )
= $true )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV29: $i > $i,SV25: $i > $i] :
( ( ( ~ ( sK1_R @ SV25 @ SV29 ) )
= $true )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV30: $i > $i,SV27: $i > $i] :
( ( ( ~ ( sK1_R @ SV27 @ SV30 ) )
= $true )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV28: $i > $i,SV24: $i > $i] :
( ( ( sK1_R @ SV24 @ SV28 )
= $false )
| ( ( ~ ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV29: $i > $i,SV25: $i > $i] :
( ( ( sK1_R @ SV25 @ SV29 )
= $false )
| ( ( ~ ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(118,plain,
! [SV30: $i > $i,SV27: $i > $i] :
( ( ( sK1_R @ SV27 @ SV30 )
= $false )
| ( ( ~ ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(119,plain,
! [SV28: $i > $i,SV24: $i > $i] :
( ( ( ! [SY70: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY70 ) )
= $false )
| ( ( sK1_R @ SV24 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(120,plain,
! [SV29: $i > $i,SV25: $i > $i] :
( ( ( ! [SY75: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY75 ) )
= $false )
| ( ( sK1_R @ SV25 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(121,plain,
! [SV30: $i > $i,SV27: $i > $i] :
( ( ( ! [SY88: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY88 ) )
= $false )
| ( ( sK1_R @ SV27 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(122,plain,
! [SV24: $i > $i,SV28: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK12_SY70 @ SV28 @ SV24 ) ) )
= $false )
| ( ( sK1_R @ SV24 @ SV28 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[119]) ).
thf(123,plain,
! [SV25: $i > $i,SV29: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK13_SY75 @ SV29 @ SV25 ) ) )
= $false )
| ( ( sK1_R @ SV25 @ SV29 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(124,plain,
! [SV27: $i > $i,SV30: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK14_SY88 @ SV30 @ SV27 ) ) )
= $false )
| ( ( sK1_R @ SV27 @ SV30 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[121]) ).
thf(125,plain,
! [SV24: $i > $i,SV28: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK12_SY70 @ SV28 @ SV24 ) )
= $true )
| ( ( sK1_R @ SV24 @ SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(126,plain,
! [SV25: $i > $i,SV29: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK13_SY75 @ SV29 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV25 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(127,plain,
! [SV27: $i > $i,SV30: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK14_SY88 @ SV30 @ SV27 ) )
= $true )
| ( ( sK1_R @ SV27 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(128,plain,
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ ( sK15_E @ sK3_SY2 ) )
= ( sK2_SY0 @ ( sK15_E @ sK3_SY2 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV19,$thf( sK3_SY2 ))]]) ).
thf(129,plain,
! [SV19: $i > $i] :
( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false ),
inference(extuni,[status(esa)],[84]) ).
thf(132,plain,
! [SV31: $i > $i,SV32: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= $true )
| ( ( sK1_R @ SV31 @ SV32 )
= $false ) ),
inference(rename,[status(thm)],[47]) ).
thf(135,plain,
! [SV31: $i > $i,SV32: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R @ SV31 @ SV32 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false ) ),
inference(res,[status(thm)],[132,81]) ).
thf(136,plain,
! [SV31: $i > $i,SV32: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 ) )
= $false )
| ( ( sK1_R @ SV31 @ SV32 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[132,81]) ).
thf(137,plain,
! [SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R @ SV31 @ SV32 )
= $false ) ),
inference(res,[status(thm)],[132,15]) ).
thf(138,plain,
! [SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R @ SV31 @ SV32 )
= ( sK1_R @ sK2_SY0 @ sK3_SY2 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= $true ) ),
inference(res,[status(thm)],[132,11]) ).
thf(139,plain,
( ( ~ ~ ! [SY109: $i > $i] :
~ ~ ! [SY110: $i > $i] :
~ ( sK1_R @ SY109 @ SY110 )
| ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ),
inference(choice,[status(thm)],[132]) ).
thf(140,plain,
( ( ( ~ ~ ! [SY109: $i > $i] :
~ ~ ! [SY110: $i > $i] :
~ ( sK1_R @ SY109 @ SY110 ) )
= $true )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(141,plain,
( ( ( ~ ! [SY109: $i > $i] :
~ ~ ! [SY110: $i > $i] :
~ ( sK1_R @ SY109 @ SY110 ) )
= $false )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(142,plain,
( ( ( ! [SY109: $i > $i] :
~ ~ ! [SY110: $i > $i] :
~ ( sK1_R @ SY109 @ SY110 ) )
= $true )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(143,plain,
! [SV34: $i > $i] :
( ( ( ~ ~ ! [SY114: $i > $i] :
~ ( sK1_R @ SV34 @ SY114 ) )
= $true )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(144,plain,
! [SV34: $i > $i] :
( ( ( ~ ! [SY114: $i > $i] :
~ ( sK1_R @ SV34 @ SY114 ) )
= $false )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(145,plain,
! [SV34: $i > $i] :
( ( ( ! [SY114: $i > $i] :
~ ( sK1_R @ SV34 @ SY114 ) )
= $true )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(146,plain,
! [SV35: $i > $i,SV34: $i > $i] :
( ( ( ~ ( sK1_R @ SV34 @ SV35 ) )
= $true )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(147,plain,
! [SV35: $i > $i,SV34: $i > $i] :
( ( ( sK1_R @ SV34 @ SV35 )
= $false )
| ( ( ~ ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(148,plain,
! [SV35: $i > $i,SV34: $i > $i] :
( ( ( ! [SY113: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY113 ) )
= $false )
| ( ( sK1_R @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(149,plain,
! [SV34: $i > $i,SV35: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK19_SY113 @ SV35 @ SV34 ) ) )
= $false )
| ( ( sK1_R @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[148]) ).
thf(150,plain,
! [SV34: $i > $i,SV35: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK19_SY113 @ SV35 @ SV34 ) )
= $true )
| ( ( sK1_R @ SV34 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(151,plain,
( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ sK3_SY2 @ sK2_SY0 ) )
= $true ),
inference(extuni,[status(esa)],[138:[bind(SV32,$thf( sK3_SY2 )),bind(SV31,$thf( sK2_SY0 ))]]) ).
thf(152,plain,
! [SV32: $i > $i,SV31: $i > $i] :
( ( ( sK1_R @ SV31 @ SV32 )
= $false )
| ( ( ( sK4_SY8 @ SV32 @ SV31 @ ( sK20_E @ SV31 @ SV32 ) )
= ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ ( sK20_E @ SV31 @ SV32 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[137]) ).
thf(153,plain,
! [SV32: $i > $i,SV31: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( sK1_R @ SV31 @ SV32 )
= $false ) ),
inference(extuni,[status(esa)],[136:[bind(SV19,$thf( sK4_SY8 @ SV32 @ SV31 ))]]) ).
thf(154,plain,
! [SV19: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[135:[bind(SV32,$thf( epsii @ ^ [SX0: $i > $i] : ( sK1_R @ ( epsii @ ^ [SX1: $i > $i] : ~ ( ! [SX2: $i > $i] : ~ ( sK1_R @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV31,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(155,plain,
! [SV36: $i > $i,SV37: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= $true )
| ( ( sK1_R @ SV36 @ SV37 )
= $false ) ),
inference(rename,[status(thm)],[48]) ).
thf(158,plain,
! [SV36: $i > $i,SV37: $i > $i,SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= ( sK1_R @ SV31 @ SV32 ) )
= $false )
| ( ( sK1_R @ SV36 @ SV37 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= $true ) ),
inference(res,[status(thm)],[155,132]) ).
thf(159,plain,
! [SV36: $i > $i,SV37: $i > $i,SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R @ SV36 @ SV37 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= $true )
| ( ( sK1_R @ SV31 @ SV32 )
= $false ) ),
inference(res,[status(thm)],[155,132]) ).
thf(160,plain,
! [SV36: $i > $i,SV37: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R @ SV36 @ SV37 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false ) ),
inference(res,[status(thm)],[155,81]) ).
thf(161,plain,
! [SV36: $i > $i,SV37: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 ) )
= $false )
| ( ( sK1_R @ SV36 @ SV37 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[155,81]) ).
thf(162,plain,
! [SV36: $i > $i,SV37: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R @ SV36 @ SV37 )
= $false ) ),
inference(res,[status(thm)],[155,15]) ).
thf(163,plain,
! [SV36: $i > $i,SV37: $i > $i] :
( ( ( ( sK1_R @ SV36 @ SV37 )
= ( sK1_R @ sK2_SY0 @ sK3_SY2 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= $true ) ),
inference(res,[status(thm)],[155,11]) ).
thf(164,plain,
( ( ~ ~ ! [SY127: $i > $i] :
~ ~ ! [SY128: $i > $i] :
~ ( sK1_R @ SY127 @ SY128 )
| ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ),
inference(choice,[status(thm)],[155]) ).
thf(165,plain,
( ( ( ~ ~ ! [SY127: $i > $i] :
~ ~ ! [SY128: $i > $i] :
~ ( sK1_R @ SY127 @ SY128 ) )
= $true )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(166,plain,
( ( ( ~ ! [SY127: $i > $i] :
~ ~ ! [SY128: $i > $i] :
~ ( sK1_R @ SY127 @ SY128 ) )
= $false )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(167,plain,
( ( ( ! [SY127: $i > $i] :
~ ~ ! [SY128: $i > $i] :
~ ( sK1_R @ SY127 @ SY128 ) )
= $true )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(168,plain,
! [SV39: $i > $i] :
( ( ( ~ ~ ! [SY132: $i > $i] :
~ ( sK1_R @ SV39 @ SY132 ) )
= $true )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(169,plain,
! [SV39: $i > $i] :
( ( ( ~ ! [SY132: $i > $i] :
~ ( sK1_R @ SV39 @ SY132 ) )
= $false )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(170,plain,
! [SV39: $i > $i] :
( ( ( ! [SY132: $i > $i] :
~ ( sK1_R @ SV39 @ SY132 ) )
= $true )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(171,plain,
! [SV40: $i > $i,SV39: $i > $i] :
( ( ( ~ ( sK1_R @ SV39 @ SV40 ) )
= $true )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(172,plain,
! [SV40: $i > $i,SV39: $i > $i] :
( ( ( sK1_R @ SV39 @ SV40 )
= $false )
| ( ( ~ ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(173,plain,
! [SV40: $i > $i,SV39: $i > $i] :
( ( ( ! [SY131: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY131 ) )
= $false )
| ( ( sK1_R @ SV39 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(174,plain,
! [SV39: $i > $i,SV40: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK24_SY131 @ SV40 @ SV39 ) ) )
= $false )
| ( ( sK1_R @ SV39 @ SV40 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[173]) ).
thf(175,plain,
! [SV39: $i > $i,SV40: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK24_SY131 @ SV40 @ SV39 ) )
= $true )
| ( ( sK1_R @ SV39 @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(176,plain,
( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ sK3_SY2 @ sK2_SY0 ) )
= $true ),
inference(extuni,[status(esa)],[163:[bind(SV37,$thf( sK3_SY2 )),bind(SV36,$thf( sK2_SY0 ))]]) ).
thf(177,plain,
! [SV37: $i > $i,SV36: $i > $i] :
( ( ( sK1_R @ SV36 @ SV37 )
= $false )
| ( ( ( sK5_SY21 @ SV37 @ SV36 @ ( sK25_E @ SV36 @ SV37 ) )
= ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ ( sK25_E @ SV36 @ SV37 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[162]) ).
thf(178,plain,
! [SV37: $i > $i,SV36: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( sK1_R @ SV36 @ SV37 )
= $false ) ),
inference(extuni,[status(esa)],[161:[bind(SV19,$thf( sK5_SY21 @ SV37 @ SV36 ))]]) ).
thf(179,plain,
! [SV19: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[160:[bind(SV37,$thf( epsii @ ^ [SX0: $i > $i] : ( sK1_R @ ( epsii @ ^ [SX1: $i > $i] : ~ ( ! [SX2: $i > $i] : ~ ( sK1_R @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV36,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(180,plain,
! [SV32: $i > $i,SV31: $i > $i] :
( ( ( sK1_R @ SV31 @ SV32 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ ( sK4_SY8 @ SV32 @ SV31 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[159:[bind(SV37,$thf( sK4_SY8 @ SV32 @ SV31 )),bind(SV36,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(181,plain,
! [SV36: $i > $i,SV37: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ ( sK5_SY21 @ SV37 @ SV36 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_R @ SV36 @ SV37 )
= $false ) ),
inference(extuni,[status(esa)],[158:[bind(SV32,$thf( sK5_SY21 @ SV37 @ SV36 )),bind(SV31,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(183,plain,
! [SV42: $i > $i,SV43: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= $true )
| ( ( sK1_R @ SV42 @ SV43 )
= $false ) ),
inference(rename,[status(thm)],[78]) ).
thf(186,plain,
! [SV42: $i > $i,SV43: $i > $i,SV36: $i > $i,SV37: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= ( sK1_R @ SV36 @ SV37 ) )
= $false )
| ( ( sK1_R @ SV42 @ SV43 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= $true ) ),
inference(res,[status(thm)],[183,155]) ).
thf(187,plain,
! [SV42: $i > $i,SV43: $i > $i,SV36: $i > $i,SV37: $i > $i] :
( ( ( ( sK1_R @ SV42 @ SV43 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= $true )
| ( ( sK1_R @ SV36 @ SV37 )
= $false ) ),
inference(res,[status(thm)],[183,155]) ).
thf(188,plain,
! [SV42: $i > $i,SV43: $i > $i,SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= ( sK1_R @ SV31 @ SV32 ) )
= $false )
| ( ( sK1_R @ SV42 @ SV43 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= $true ) ),
inference(res,[status(thm)],[183,132]) ).
thf(189,plain,
! [SV42: $i > $i,SV43: $i > $i,SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R @ SV42 @ SV43 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= $true )
| ( ( sK1_R @ SV31 @ SV32 )
= $false ) ),
inference(res,[status(thm)],[183,132]) ).
thf(190,plain,
! [SV42: $i > $i,SV43: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R @ SV42 @ SV43 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false ) ),
inference(res,[status(thm)],[183,81]) ).
thf(191,plain,
! [SV42: $i > $i,SV43: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 ) )
= $false )
| ( ( sK1_R @ SV42 @ SV43 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[183,81]) ).
thf(192,plain,
! [SV42: $i > $i,SV43: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R @ SV42 @ SV43 )
= $false ) ),
inference(res,[status(thm)],[183,15]) ).
thf(193,plain,
! [SV42: $i > $i,SV43: $i > $i] :
( ( ( ( sK1_R @ SV42 @ SV43 )
= ( sK1_R @ sK2_SY0 @ sK3_SY2 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= $true ) ),
inference(res,[status(thm)],[183,11]) ).
thf(194,plain,
( ( ~ ~ ! [SY160: $i > $i] :
~ ~ ! [SY161: $i > $i] :
~ ( sK1_R @ SY160 @ SY161 )
| ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ),
inference(choice,[status(thm)],[183]) ).
thf(195,plain,
( ( ( ~ ~ ! [SY160: $i > $i] :
~ ~ ! [SY161: $i > $i] :
~ ( sK1_R @ SY160 @ SY161 ) )
= $true )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(196,plain,
( ( ( ~ ! [SY160: $i > $i] :
~ ~ ! [SY161: $i > $i] :
~ ( sK1_R @ SY160 @ SY161 ) )
= $false )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(197,plain,
( ( ( ! [SY160: $i > $i] :
~ ~ ! [SY161: $i > $i] :
~ ( sK1_R @ SY160 @ SY161 ) )
= $true )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(198,plain,
! [SV45: $i > $i] :
( ( ( ~ ~ ! [SY165: $i > $i] :
~ ( sK1_R @ SV45 @ SY165 ) )
= $true )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(199,plain,
! [SV45: $i > $i] :
( ( ( ~ ! [SY165: $i > $i] :
~ ( sK1_R @ SV45 @ SY165 ) )
= $false )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(200,plain,
! [SV45: $i > $i] :
( ( ( ! [SY165: $i > $i] :
~ ( sK1_R @ SV45 @ SY165 ) )
= $true )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(201,plain,
! [SV46: $i > $i,SV45: $i > $i] :
( ( ( ~ ( sK1_R @ SV45 @ SV46 ) )
= $true )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(202,plain,
! [SV46: $i > $i,SV45: $i > $i] :
( ( ( sK1_R @ SV45 @ SV46 )
= $false )
| ( ( ~ ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(203,plain,
! [SV46: $i > $i,SV45: $i > $i] :
( ( ( ! [SY164: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY164 ) )
= $false )
| ( ( sK1_R @ SV45 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(204,plain,
! [SV45: $i > $i,SV46: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK38_SY164 @ SV46 @ SV45 ) ) )
= $false )
| ( ( sK1_R @ SV45 @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[203]) ).
thf(205,plain,
! [SV45: $i > $i,SV46: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK38_SY164 @ SV46 @ SV45 ) )
= $true )
| ( ( sK1_R @ SV45 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(206,plain,
( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ sK3_SY2 @ sK2_SY0 ) )
= $true ),
inference(extuni,[status(esa)],[193:[bind(SV43,$thf( sK3_SY2 )),bind(SV42,$thf( sK2_SY0 ))]]) ).
thf(207,plain,
! [SV43: $i > $i,SV42: $i > $i] :
( ( ( sK1_R @ SV42 @ SV43 )
= $false )
| ( ( ( sK6_SY34 @ SV43 @ SV42 @ ( sK39_E @ SV42 @ SV43 ) )
= ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ ( sK39_E @ SV42 @ SV43 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[192]) ).
thf(208,plain,
! [SV43: $i > $i,SV42: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( sK1_R @ SV42 @ SV43 )
= $false ) ),
inference(extuni,[status(esa)],[191:[bind(SV19,$thf( sK6_SY34 @ SV43 @ SV42 ))]]) ).
thf(209,plain,
! [SV19: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[190:[bind(SV43,$thf( epsii @ ^ [SX0: $i > $i] : ( sK1_R @ ( epsii @ ^ [SX1: $i > $i] : ~ ( ! [SX2: $i > $i] : ~ ( sK1_R @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV42,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(210,plain,
! [SV32: $i > $i,SV31: $i > $i] :
( ( ( sK1_R @ SV31 @ SV32 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ ( sK4_SY8 @ SV32 @ SV31 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[189:[bind(SV43,$thf( sK4_SY8 @ SV32 @ SV31 )),bind(SV42,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(211,plain,
! [SV42: $i > $i,SV43: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ ( sK6_SY34 @ SV43 @ SV42 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_R @ SV42 @ SV43 )
= $false ) ),
inference(extuni,[status(esa)],[188:[bind(SV32,$thf( sK6_SY34 @ SV43 @ SV42 )),bind(SV31,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(212,plain,
! [SV37: $i > $i,SV36: $i > $i] :
( ( ( sK1_R @ SV36 @ SV37 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ ( sK5_SY21 @ SV37 @ SV36 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[187:[bind(SV43,$thf( sK5_SY21 @ SV37 @ SV36 )),bind(SV42,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(213,plain,
! [SV42: $i > $i,SV43: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ ( sK6_SY34 @ SV43 @ SV42 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_R @ SV42 @ SV43 )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV37,$thf( sK6_SY34 @ SV43 @ SV42 )),bind(SV36,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(214,plain,
! [SV47: $i > $i,SV48: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= $true )
| ( ( sK1_R @ SV47 @ SV48 )
= $false ) ),
inference(rename,[status(thm)],[79]) ).
thf(217,plain,
! [SV47: $i > $i,SV48: $i > $i,SV42: $i > $i,SV43: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= ( sK1_R @ SV42 @ SV43 ) )
= $false )
| ( ( sK1_R @ SV47 @ SV48 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) )
= $true ) ),
inference(res,[status(thm)],[214,183]) ).
thf(218,plain,
! [SV47: $i > $i,SV48: $i > $i,SV42: $i > $i,SV43: $i > $i] :
( ( ( ( sK1_R @ SV47 @ SV48 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ SV43 @ SV42 ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= $true )
| ( ( sK1_R @ SV42 @ SV43 )
= $false ) ),
inference(res,[status(thm)],[214,183]) ).
thf(219,plain,
! [SV47: $i > $i,SV48: $i > $i,SV36: $i > $i,SV37: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= ( sK1_R @ SV36 @ SV37 ) )
= $false )
| ( ( sK1_R @ SV47 @ SV48 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) )
= $true ) ),
inference(res,[status(thm)],[214,155]) ).
thf(220,plain,
! [SV47: $i > $i,SV48: $i > $i,SV36: $i > $i,SV37: $i > $i] :
( ( ( ( sK1_R @ SV47 @ SV48 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ SV37 @ SV36 ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= $true )
| ( ( sK1_R @ SV36 @ SV37 )
= $false ) ),
inference(res,[status(thm)],[214,155]) ).
thf(221,plain,
! [SV47: $i > $i,SV48: $i > $i,SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= ( sK1_R @ SV31 @ SV32 ) )
= $false )
| ( ( sK1_R @ SV47 @ SV48 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) )
= $true ) ),
inference(res,[status(thm)],[214,132]) ).
thf(222,plain,
! [SV47: $i > $i,SV48: $i > $i,SV31: $i > $i,SV32: $i > $i] :
( ( ( ( sK1_R @ SV47 @ SV48 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ SV32 @ SV31 ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= $true )
| ( ( sK1_R @ SV31 @ SV32 )
= $false ) ),
inference(res,[status(thm)],[214,132]) ).
thf(223,plain,
! [SV47: $i > $i,SV48: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R @ SV47 @ SV48 )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false ) ),
inference(res,[status(thm)],[214,81]) ).
thf(224,plain,
! [SV47: $i > $i,SV48: $i > $i,SV19: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 ) )
= $false )
| ( ( sK1_R @ SV47 @ SV48 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[214,81]) ).
thf(225,plain,
! [SV47: $i > $i,SV48: $i > $i] :
( ( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $false )
| ( ( sK1_R @ SV47 @ SV48 )
= $false ) ),
inference(res,[status(thm)],[214,15]) ).
thf(226,plain,
! [SV47: $i > $i,SV48: $i > $i] :
( ( ( ( sK1_R @ SV47 @ SV48 )
= ( sK1_R @ sK2_SY0 @ sK3_SY2 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ SV48 @ SV47 ) )
= $true ) ),
inference(res,[status(thm)],[214,11]) ).
thf(227,plain,
( ( ~ ~ ! [SY178: $i > $i] :
~ ~ ! [SY179: $i > $i] :
~ ( sK1_R @ SY178 @ SY179 )
| ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ),
inference(choice,[status(thm)],[214]) ).
thf(228,plain,
( ( ( ~ ~ ! [SY178: $i > $i] :
~ ~ ! [SY179: $i > $i] :
~ ( sK1_R @ SY178 @ SY179 ) )
= $true )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(229,plain,
( ( ( ~ ! [SY178: $i > $i] :
~ ~ ! [SY179: $i > $i] :
~ ( sK1_R @ SY178 @ SY179 ) )
= $false )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(230,plain,
( ( ( ! [SY178: $i > $i] :
~ ~ ! [SY179: $i > $i] :
~ ( sK1_R @ SY178 @ SY179 ) )
= $true )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(231,plain,
! [SV50: $i > $i] :
( ( ( ~ ~ ! [SY183: $i > $i] :
~ ( sK1_R @ SV50 @ SY183 ) )
= $true )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(232,plain,
! [SV50: $i > $i] :
( ( ( ~ ! [SY183: $i > $i] :
~ ( sK1_R @ SV50 @ SY183 ) )
= $false )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(233,plain,
! [SV50: $i > $i] :
( ( ( ! [SY183: $i > $i] :
~ ( sK1_R @ SV50 @ SY183 ) )
= $true )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(234,plain,
! [SV51: $i > $i,SV50: $i > $i] :
( ( ( ~ ( sK1_R @ SV50 @ SV51 ) )
= $true )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(235,plain,
! [SV51: $i > $i,SV50: $i > $i] :
( ( ( sK1_R @ SV50 @ SV51 )
= $false )
| ( ( ~ ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(236,plain,
! [SV51: $i > $i,SV50: $i > $i] :
( ( ( ! [SY182: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY182 ) )
= $false )
| ( ( sK1_R @ SV50 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(237,plain,
! [SV50: $i > $i,SV51: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK43_SY182 @ SV51 @ SV50 ) ) )
= $false )
| ( ( sK1_R @ SV50 @ SV51 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(238,plain,
! [SV50: $i > $i,SV51: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK43_SY182 @ SV51 @ SV50 ) )
= $true )
| ( ( sK1_R @ SV50 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(239,plain,
( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ sK3_SY2 @ sK2_SY0 ) )
= $true ),
inference(extuni,[status(esa)],[226:[bind(SV48,$thf( sK3_SY2 )),bind(SV47,$thf( sK2_SY0 ))]]) ).
thf(240,plain,
! [SV48: $i > $i,SV47: $i > $i] :
( ( ( sK1_R @ SV47 @ SV48 )
= $false )
| ( ( ( sK7_SY47 @ SV48 @ SV47 @ ( sK44_E @ SV47 @ SV48 ) )
= ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ ( sK44_E @ SV47 @ SV48 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[225]) ).
thf(241,plain,
! [SV48: $i > $i,SV47: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( sK1_R @ SV47 @ SV48 )
= $false ) ),
inference(extuni,[status(esa)],[224:[bind(SV19,$thf( sK7_SY47 @ SV48 @ SV47 ))]]) ).
thf(242,plain,
! [SV19: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SV19 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[223:[bind(SV48,$thf( epsii @ ^ [SX0: $i > $i] : ( sK1_R @ ( epsii @ ^ [SX1: $i > $i] : ~ ( ! [SX2: $i > $i] : ~ ( sK1_R @ SX1 @ SX2 ) ) ) @ SX0 ) )),bind(SV47,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(243,plain,
! [SV32: $i > $i,SV31: $i > $i] :
( ( ( sK1_R @ SV31 @ SV32 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ ( sK4_SY8 @ SV32 @ SV31 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[222:[bind(SV48,$thf( sK4_SY8 @ SV32 @ SV31 )),bind(SV47,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(244,plain,
! [SV47: $i > $i,SV48: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK4_SY8 @ ( sK7_SY47 @ SV48 @ SV47 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_R @ SV47 @ SV48 )
= $false ) ),
inference(extuni,[status(esa)],[221:[bind(SV32,$thf( sK7_SY47 @ SV48 @ SV47 )),bind(SV31,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(245,plain,
! [SV37: $i > $i,SV36: $i > $i] :
( ( ( sK1_R @ SV36 @ SV37 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ ( sK5_SY21 @ SV37 @ SV36 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[220:[bind(SV48,$thf( sK5_SY21 @ SV37 @ SV36 )),bind(SV47,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(246,plain,
! [SV47: $i > $i,SV48: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK5_SY21 @ ( sK7_SY47 @ SV48 @ SV47 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_R @ SV47 @ SV48 )
= $false ) ),
inference(extuni,[status(esa)],[219:[bind(SV37,$thf( sK7_SY47 @ SV48 @ SV47 )),bind(SV36,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(247,plain,
! [SV43: $i > $i,SV42: $i > $i] :
( ( ( sK1_R @ SV42 @ SV43 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK7_SY47 @ ( sK6_SY34 @ SV43 @ SV42 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[218:[bind(SV48,$thf( sK6_SY34 @ SV43 @ SV42 )),bind(SV47,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(248,plain,
! [SV47: $i > $i,SV48: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK6_SY34 @ ( sK7_SY47 @ SV48 @ SV47 )
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK1_R @ SV47 @ SV48 )
= $false ) ),
inference(extuni,[status(esa)],[217:[bind(SV43,$thf( sK7_SY47 @ SV48 @ SV47 )),bind(SV42,$thf( epsii @ ^ [SX0: $i > $i] : ~ ( ! [SX1: $i > $i] : ~ ( sK1_R @ SX0 @ SX1 ) ) ))]]) ).
thf(261,plain,
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ sK9_E )
= ( sK3_SY2 @ sK9_E ) )
= ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[80]) ).
thf(262,plain,
( ( ~ ~ ! [SY189: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY189 )
| ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) ) )
= $true ),
inference(choice,[status(thm)],[80]) ).
thf(263,plain,
( ( ~ ~ ! [SY197: $i > $i] :
~ ~ ! [SY198: $i > $i] :
~ ( sK1_R @ SY197 @ SY198 )
| ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ),
inference(choice,[status(thm)],[80]) ).
thf(264,plain,
( ( ~ ~ ! [SY202: $i > $i] :
~ ~ ! [SY203: $i > $i] :
~ ( sK1_R @ SY202 @ SY203 )
| ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ),
inference(choice,[status(thm)],[80]) ).
thf(265,plain,
( ( ( ~ ~ ! [SY189: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY189 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(266,plain,
( ( ( ~ ~ ! [SY197: $i > $i] :
~ ~ ! [SY198: $i > $i] :
~ ( sK1_R @ SY197 @ SY198 ) )
= $true )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(267,plain,
( ( ( ~ ~ ! [SY202: $i > $i] :
~ ~ ! [SY203: $i > $i] :
~ ( sK1_R @ SY202 @ SY203 ) )
= $true )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(268,plain,
( ( ( ~ ! [SY189: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY189 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(269,plain,
( ( ( ~ ! [SY197: $i > $i] :
~ ~ ! [SY198: $i > $i] :
~ ( sK1_R @ SY197 @ SY198 ) )
= $false )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(270,plain,
( ( ( ~ ! [SY202: $i > $i] :
~ ~ ! [SY203: $i > $i] :
~ ( sK1_R @ SY202 @ SY203 ) )
= $false )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(271,plain,
( ( ( ! [SY189: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY189 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(272,plain,
( ( ( ! [SY197: $i > $i] :
~ ~ ! [SY198: $i > $i] :
~ ( sK1_R @ SY197 @ SY198 ) )
= $true )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(273,plain,
( ( ( ! [SY202: $i > $i] :
~ ~ ! [SY203: $i > $i] :
~ ( sK1_R @ SY202 @ SY203 ) )
= $true )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(274,plain,
! [SV55: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SV55 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(275,plain,
! [SV56: $i > $i] :
( ( ( ~ ~ ! [SY209: $i > $i] :
~ ( sK1_R @ SV56 @ SY209 ) )
= $true )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(276,plain,
! [SV57: $i > $i] :
( ( ( ~ ~ ! [SY210: $i > $i] :
~ ( sK1_R @ SV57 @ SY210 ) )
= $true )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(277,plain,
! [SV55: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SV55 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(278,plain,
! [SV56: $i > $i] :
( ( ( ~ ! [SY209: $i > $i] :
~ ( sK1_R @ SV56 @ SY209 ) )
= $false )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(279,plain,
! [SV57: $i > $i] :
( ( ( ~ ! [SY210: $i > $i] :
~ ( sK1_R @ SV57 @ SY210 ) )
= $false )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(280,plain,
! [SV56: $i > $i] :
( ( ( ! [SY209: $i > $i] :
~ ( sK1_R @ SV56 @ SY209 ) )
= $true )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(281,plain,
! [SV57: $i > $i] :
( ( ( ! [SY210: $i > $i] :
~ ( sK1_R @ SV57 @ SY210 ) )
= $true )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(282,plain,
! [SV58: $i > $i,SV56: $i > $i] :
( ( ( ~ ( sK1_R @ SV56 @ SV58 ) )
= $true )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(283,plain,
! [SV59: $i > $i,SV57: $i > $i] :
( ( ( ~ ( sK1_R @ SV57 @ SV59 ) )
= $true )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(284,plain,
! [SV58: $i > $i,SV56: $i > $i] :
( ( ( sK1_R @ SV56 @ SV58 )
= $false )
| ( ( ~ ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(285,plain,
! [SV59: $i > $i,SV57: $i > $i] :
( ( ( sK1_R @ SV57 @ SV59 )
= $false )
| ( ( ~ ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(286,plain,
! [SV58: $i > $i,SV56: $i > $i] :
( ( ( ! [SY201: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SY201 ) )
= $false )
| ( ( sK1_R @ SV56 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(287,plain,
! [SV59: $i > $i,SV57: $i > $i] :
( ( ( ! [SY206: $i > $i] :
~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ SY206 ) )
= $false )
| ( ( sK1_R @ SV57 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(288,plain,
! [SV56: $i > $i,SV58: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK45_SY201 @ SV58 @ SV56 ) ) )
= $false )
| ( ( sK1_R @ SV56 @ SV58 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[286]) ).
thf(289,plain,
! [SV57: $i > $i,SV59: $i > $i] :
( ( ( ~ ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK46_SY206 @ SV59 @ SV57 ) ) )
= $false )
| ( ( sK1_R @ SV57 @ SV59 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[287]) ).
thf(290,plain,
! [SV56: $i > $i,SV58: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ ( sK45_SY201 @ SV58 @ SV56 ) )
= $true )
| ( ( sK1_R @ SV56 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(291,plain,
! [SV57: $i > $i,SV59: $i > $i] :
( ( ( sK1_R
@ ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 ) )
@ ( sK46_SY206 @ SV59 @ SV57 ) )
= $true )
| ( ( sK1_R @ SV57 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(292,plain,
( ( ( ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( sK3_SY2 @ sK9_E )
= ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extuni,[status(esa)],[261]) ).
thf(293,plain,
( ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $true )
| ( ( ~ ! [SY215: $i > $i] :
~ ( sK1_R @ sK47_E @ SY215 ) )
= $true )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extuni,[status(esa)],[261]) ).
thf(294,plain,
( ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $false )
| ( ( ~ ! [SY215: $i > $i] :
~ ( sK1_R @ sK47_E @ SY215 ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extuni,[status(esa)],[261]) ).
thf(295,plain,
( ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ SX0 )
@ sK9_E )
= ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extuni,[status(esa)],[261]) ).
thf(296,plain,
( ( ( ! [SY215: $i > $i] :
~ ( sK1_R @ sK47_E @ SY215 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $false )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(297,plain,
( ( ( ! [SY215: $i > $i] :
~ ( sK1_R @ sK47_E @ SY215 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $true )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(298,plain,
! [SV60: $i > $i] :
( ( ( ~ ( sK1_R @ sK47_E @ SV60 ) )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $false )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(299,plain,
( ( ( ~ ( sK1_R @ sK47_E @ sK48_SY215 ) )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $true )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[297]) ).
thf(300,plain,
! [SV60: $i > $i] :
( ( ( sK1_R @ sK47_E @ SV60 )
= $false )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $false )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(301,plain,
( ( ( sK1_R @ sK47_E @ sK48_SY215 )
= $true )
| ( ( sK1_R
@ ( epsii
@ ^ [SX1: $i > $i] :
~ ! [SX2: $i > $i] :
~ ( sK1_R @ SX1 @ SX2 ) )
@ sK47_E )
= $true )
| ( ( sK9_E = sK8_E )
= $false )
| ( ( ( sK3_SY2 @ sK9_E )
= ( sK2_SY0 @ sK8_E ) )
= $false )
| ( ( ( epsii
@ ^ [SX0: $i > $i] :
~ ! [SX1: $i > $i] :
~ ( sK1_R @ SX0 @ SX1 )
@ sK8_E )
= ( sK2_SY0 @ sK8_E ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(302,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,301,300,295,292,291,290,277,248,247,246,245,244,243,242,241,240,239,238,214,213,212,211,210,209,208,207,206,205,183,181,180,179,178,177,176,175,155,154,153,152,151,150,132,129,128,127,126,125,108,81,80,15]) ).
thf(303,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO537^1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 22:17:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33
% 0.12/0.33 No.of.Axioms: 1
% 0.12/0.33
% 0.12/0.33 Length.of.Defs: 343
% 0.12/0.33
% 0.12/0.33 Contains.Choice.Funs: true
% 0.12/0.34 (rf:0,axioms:1,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:3,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.12/0.37
% 0.12/0.37 *** Modified list of choice operators: epsii ***
% 0.12/0.37 ............................................................................
% 1.07/1.32
% 1.07/1.32 ********************************
% 1.07/1.32 * All subproblems solved! *
% 1.07/1.32 ********************************
% 1.07/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:302,loop_count:10,foatp_calls:3,translation:fof_full)
% 1.17/1.35
% 1.17/1.35 %**** Beginning of derivation protocol ****
% 1.17/1.35 % SZS output start CNFRefutation
% See solution above
% 1.17/1.35
% 1.17/1.35 %**** End of derivation protocol ****
% 1.17/1.35 %**** no. of clauses in derivation: 265 ****
% 1.17/1.35 %**** clause counter: 302 ****
% 1.17/1.35
% 1.17/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:302,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------