TSTP Solution File: SEV181^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV181^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n004.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 : Tue Jul 19 17:35:32 EDT 2022
% Result : Theorem 127.40s 127.75s
% Output : CNFRefutation 127.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 25
% Syntax : Number of formulae : 694 ( 41 unt; 23 typ; 1 def)
% Number of atoms : 6004 (3190 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 10288 (3539 ~;1987 |; 1 &;4754 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1310 (1310 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 2 con; 0-4 aty)
% Number of variables : 2063 ( 175 ^1887 !; 1 ?;2063 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cD_FOR_X5309,type,
cD_FOR_X5309: ( ( $i > $o ) > $i ) > $i > $o ).
thf(tp_sK10_SY190,type,
sK10_SY190: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK11_SX0,type,
sK11_SX0: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK12_SX0,type,
sK12_SX0: $i > $i > $o ).
thf(tp_sK13_SX0,type,
sK13_SX0: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK14_SX0,type,
sK14_SX0: $i > $i > $o ).
thf(tp_sK15_SX0,type,
sK15_SX0: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(tp_sK16_SX0,type,
sK16_SX0: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK17_SX0,type,
sK17_SX0: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(tp_sK18_SX0,type,
sK18_SX0: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK19_SX0,type,
sK19_SX0: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK1_Xh,type,
sK1_Xh: ( $i > $o ) > $i ).
thf(tp_sK20_SX0,type,
sK20_SX0: $i > $i > $o ).
thf(tp_sK21_SX0,type,
sK21_SX0: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK22_SX0,type,
sK22_SX0: $i > $i > $o ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i > $o ).
thf(tp_sK3_SY187,type,
sK3_SY187: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK4_SY188,type,
sK4_SY188: $i > $i > $o ).
thf(tp_sK5_SY189,type,
sK5_SY189: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK6_SY190,type,
sK6_SY190: $i > $i > $o ).
thf(tp_sK7_SY187,type,
sK7_SY187: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(tp_sK8_SY188,type,
sK8_SY188: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK9_SY189,type,
sK9_SY189: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(cD_FOR_X5309,definition,
( cD_FOR_X5309
= ( ^ [Xh: ( $i > $o ) > $i,Xz: $i] :
? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( Xz
= ( Xh @ Xt ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cD_FOR_X5309) ).
thf(1,conjecture,
! [Xh: ( $i > $o ) > $i] :
( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
=> ~ ( cD_FOR_X5309 @ Xh @ ( Xh @ ( cD_FOR_X5309 @ Xh ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM143C_pme) ).
thf(2,negated_conjecture,
( ( ! [Xh: ( $i > $o ) > $i] :
( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
=> ~ ( cD_FOR_X5309 @ Xh @ ( Xh @ ( cD_FOR_X5309 @ Xh ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY172: $i > $o,SY173: $i > $o] :
( ( ( sK1_Xh @ SY172 )
= ( sK1_Xh @ SY173 ) )
=> ( SY172 = SY173 ) )
=> ~ ( cD_FOR_X5309 @ sK1_Xh @ ( sK1_Xh @ ( cD_FOR_X5309 @ sK1_Xh ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2]) ).
thf(4,plain,
( ( ! [SY172: $i > $o,SY173: $i > $o] :
( ( ( sK1_Xh @ SY172 )
= ( sK1_Xh @ SY173 ) )
=> ( SY172 = SY173 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ( cD_FOR_X5309 @ sK1_Xh @ ( sK1_Xh @ ( cD_FOR_X5309 @ sK1_Xh ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( cD_FOR_X5309 @ sK1_Xh @ ( sK1_Xh @ ( cD_FOR_X5309 @ sK1_Xh ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY172: $i > $o,SY173: $i > $o] :
( ( ( sK1_Xh @ SY172 )
!= ( sK1_Xh @ SY173 ) )
| ( SY172 = SY173 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(8,plain,
( ( ! [SY172: $i > $o,SY173: $i > $o] :
( ( ( sK1_Xh @ SY172 )
!= ( sK1_Xh @ SY173 ) )
| ( SY172 = SY173 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(9,plain,
( ( cD_FOR_X5309 @ sK1_Xh @ ( sK1_Xh @ ( cD_FOR_X5309 @ sK1_Xh ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
!= ( sK1_Xh @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,cD_FOR_X5309]) ).
thf(11,plain,
! [SV1: $i > $o] :
( ( ! [SY174: $i > $o] :
( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SY174 ) )
| ( SV1 = SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
!= ( sK1_Xh @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SV2 ) )
| ( SV1 = SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ~ ( ~ ~ ( sK2_SX0 @ ( sK1_Xh @ sK2_SX0 ) )
| ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
!= ( sK1_Xh @ sK2_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[12]) ).
thf(15,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SV2 ) ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ~ ( sK2_SX0 @ ( sK1_Xh @ sK2_SX0 ) )
| ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
!= ( sK1_Xh @ sK2_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( sK2_SX0 @ ( sK1_Xh @ sK2_SX0 ) )
| ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
!= ( sK1_Xh @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ! [SV3: $i] :
( ( SV1 @ SV3 )
= ( SV2 @ SV3 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 = SV2 )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( sK2_SX0 @ ( sK1_Xh @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
!= ( sK1_Xh @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
= ( SV2 @ SV4 ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( sK2_SX0 @ ( sK1_Xh @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ sK2_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV4 )
| ( SV2 @ SV4 ) )
| ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
= ( SV2 @ SV4 ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( sK2_SX0 @ ( sK1_Xh @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( ( SV1 @ SV4 )
| ( SV2 @ SV4 ) ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
| ( SV2 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(32,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $false )
| ( ( ~ ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 )
| ~ ( SV2 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV4 ) )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV1: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
! [SV2: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(47,plain,
! [SV8: $i > $o,SV1: $i > $o] :
( ( ( SV1
= ( ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[20:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(50,plain,
! [SV2: $i > $o,SV12: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= SV2 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[20:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(53,plain,
! [SV8: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( SV1 @ SV4 )
= ( ~ ( SV8 @ SV4 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[27:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(56,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ( ~ ( SV12 @ SV4 ) )
= ( SV2 @ SV4 ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[27:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(65,plain,
! [SV1: $i > $o,SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(68,plain,
! [SV12: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $true )
| ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(71,plain,
! [SV8: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $true )
| ( ( ~ ( SV8 @ SV4 ) )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(74,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(96,plain,
! [SV8: $i > $o,SV1: $i > $o,SV18: $i] :
( ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( ( SV1 @ SV18 )
= ( ~ ( SV8 @ SV18 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(99,plain,
! [SV2: $i > $o,SV12: $i > $o,SV21: $i] :
( ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false )
| ( ( ( ~ ( SV12 @ SV21 ) )
= ( SV2 @ SV21 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[50]) ).
thf(104,plain,
! [SV8: $i > $o,SV1: $i > $o,SV18: $i] :
( ( ( SV1 @ SV18 )
= $true )
| ( ( ~ ( SV8 @ SV18 ) )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(105,plain,
! [SV8: $i > $o,SV1: $i > $o,SV18: $i] :
( ( ( SV1 @ SV18 )
= $false )
| ( ( ~ ( SV8 @ SV18 ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV2: $i > $o,SV12: $i > $o,SV21: $i] :
( ( ( ~ ( SV12 @ SV21 ) )
= $true )
| ( ( SV2 @ SV21 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[99]) ).
thf(116,plain,
! [SV8: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV1 @ SV4 )
= $true )
| ( ( ~ ( SV8 @ SV4 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(117,plain,
! [SV8: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ~ ( SV8 @ SV4 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(122,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false )
| ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[56]) ).
thf(123,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false )
| ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV2 @ SV4 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[56]) ).
thf(124,plain,
! [SV1: $i > $o,SV18: $i,SV8: $i > $o] :
( ( ( SV8 @ SV18 )
= $false )
| ( ( SV1 @ SV18 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(125,plain,
! [SV1: $i > $o,SV18: $i,SV8: $i > $o] :
( ( ( SV8 @ SV18 )
= $true )
| ( ( SV1 @ SV18 )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(127,plain,
! [SV2: $i > $o,SV21: $i,SV12: $i > $o] :
( ( ( SV12 @ SV21 )
= $false )
| ( ( SV2 @ SV21 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(128,plain,
! [SV1: $i > $o,SV4: $i,SV8: $i > $o] :
( ( ( SV8 @ SV4 )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV1: $i > $o,SV4: $i,SV8: $i > $o] :
( ( ( SV8 @ SV4 )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(130,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false )
| ( ( SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(131,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false )
| ( ( SV2 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(133,plain,
! [SV1: $i > $o,SV4: $i,SV8: $i > $o] :
( ( ( SV8 @ SV4 )
= $false )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(134,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $true )
| ( ( SV2 @ SV4 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(135,plain,
! [SV1: $i > $o,SV4: $i,SV8: $i > $o] :
( ( ( SV8 @ SV4 )
= $true )
| ( ( SV1 @ SV4 )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(136,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( SV12 @ SV4 )
= $false )
| ( ( SV2 @ SV4 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(144,plain,
! [SV18: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV18 ) )
= $false )
| ( ( SV8 @ SV18 )
= $false ) ),
inference(extuni,[status(esa)],[124:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(145,plain,
! [SV18: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV18 ) )
= $true )
| ( ( SV8 @ SV18 )
= $true ) ),
inference(extuni,[status(esa)],[125:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(151,plain,
! [SV21: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV21 ) )
= $false )
| ( ( SV12 @ SV21 )
= $false ) ),
inference(extuni,[status(esa)],[127:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(156,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $false )
| ( ( SV8 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[128:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(157,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $true )
| ( ( SV8 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[129:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(162,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV12 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[130:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(163,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV12 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[131:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(172,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $false )
| ( ( SV8 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[133:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(175,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV12 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(178,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $true )
| ( ( SV8 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[135:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(181,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV12 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[136:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(188,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(rename,[status(thm)],[20]) ).
thf(251,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ sK2_SX0 ) )
= ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ SV22 ) ) )
= $false )
| ( ( SV23 = SV22 )
= $true ) ),
inference(res,[status(thm)],[25,188]) ).
thf(252,plain,
( ( sK2_SX0
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true ),
inference(extuni,[status(esa)],[251:[bind(SV22,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) )),bind(SV23,$thf( sK2_SX0 ))]]) ).
thf(253,plain,
! [SV22: $i > $o] :
( ( ( sK2_SX0 = SV22 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV23,$thf( sK2_SX0 ))]]) ).
thf(254,plain,
! [SV23: $i > $o] :
( ( ( SV23
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV22,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(255,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[251]) ).
thf(256,plain,
( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= sK2_SX0 )
= $true ),
inference(extuni,[status(esa)],[251:[bind(SV22,$thf( sK2_SX0 )),bind(SV23,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(257,plain,
! [SV22: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= SV22 )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV23,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(258,plain,
! [SV23: $i > $o] :
( ( ( SV23 = sK2_SX0 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV22,$thf( sK2_SX0 ))]]) ).
thf(259,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extuni,[status(esa)],[251]) ).
thf(260,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( ! [SV28: $i] :
( ( SV23 @ SV28 )
= ( SV22 @ SV28 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[259]) ).
thf(261,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[259]) ).
thf(262,plain,
! [SV23: $i > $o] :
( ( ( ! [SV29: $i] :
( ( SV23 @ SV29 )
= ( sK2_SX0 @ SV29 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[258]) ).
thf(263,plain,
! [SV23: $i > $o] :
( ( ( SV23 = sK2_SX0 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[258]) ).
thf(264,plain,
! [SV22: $i > $o] :
( ( ( ! [SV30: $i] :
( ( ~ ! [SY183: $i > $o] :
~ ~ ( ~ ~ ( SY183 @ ( sK1_Xh @ SY183 ) )
| ( SV30
!= ( sK1_Xh @ SY183 ) ) ) )
= ( SV22 @ SV30 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[257]) ).
thf(265,plain,
! [SV22: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= SV22 )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[257]) ).
thf(266,plain,
( ( ! [SV31: $i] :
( ( ~ ! [SY184: $i > $o] :
~ ~ ( ~ ~ ( SY184 @ ( sK1_Xh @ SY184 ) )
| ( SV31
!= ( sK1_Xh @ SY184 ) ) ) )
= ( sK2_SX0 @ SV31 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[256]) ).
thf(267,plain,
( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= sK2_SX0 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[256]) ).
thf(268,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( ! [SV32: $i] :
( ( SV23 @ SV32 )
= ( SV22 @ SV32 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[255]) ).
thf(269,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[255]) ).
thf(270,plain,
! [SV23: $i > $o] :
( ( ( ! [SV33: $i] :
( ( SV23 @ SV33 )
= ( ~ ! [SY185: $i > $o] :
~ ~ ( ~ ~ ( SY185 @ ( sK1_Xh @ SY185 ) )
| ( SV33
!= ( sK1_Xh @ SY185 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[254]) ).
thf(271,plain,
! [SV23: $i > $o] :
( ( ( SV23
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[254]) ).
thf(272,plain,
! [SV22: $i > $o] :
( ( ( ! [SV34: $i] :
( ( sK2_SX0 @ SV34 )
= ( SV22 @ SV34 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(273,plain,
! [SV22: $i > $o] :
( ( ( sK2_SX0 = SV22 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(274,plain,
( ( ! [SV35: $i] :
( ( sK2_SX0 @ SV35 )
= ( ~ ! [SY186: $i > $o] :
~ ~ ( ~ ~ ( SY186 @ ( sK1_Xh @ SY186 ) )
| ( SV35
!= ( sK1_Xh @ SY186 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(275,plain,
( ( sK2_SX0
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(276,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV36 )
= ( SV22 @ SV36 ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(277,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV37 )
= ( sK2_SX0 @ SV37 ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(278,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= ( SV22 @ SV38 ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(279,plain,
! [SV39: $i] :
( ( ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= ( sK2_SX0 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(280,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV40 )
= ( SV22 @ SV40 ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(281,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV41 )
= ( ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(282,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ( sK2_SX0 @ SV42 )
= ( SV22 @ SV42 ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(283,plain,
! [SV43: $i] :
( ( ( sK2_SX0 @ SV43 )
= ( ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV36 )
| ( SV22 @ SV36 ) )
| ~ ( ~ ( SV23 @ SV36 )
| ~ ( SV22 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[276]) ).
thf(285,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV36 )
= ( SV22 @ SV36 ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[276]) ).
thf(286,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV37 )
| ( sK2_SX0 @ SV37 ) )
| ~ ( ~ ( SV23 @ SV37 )
| ~ ( sK2_SX0 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[277]) ).
thf(287,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV37 )
= ( sK2_SX0 @ SV37 ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[277]) ).
thf(288,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ~ ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ( SV22 @ SV38 ) )
| ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[278]) ).
thf(289,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= ( SV22 @ SV38 ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[278]) ).
thf(290,plain,
! [SV39: $i] :
( ( ~ ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ( sK2_SX0 @ SV39 ) )
| ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[279]) ).
thf(291,plain,
! [SV39: $i] :
( ( ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= ( sK2_SX0 @ SV39 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[279]) ).
thf(292,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV40 )
| ( SV22 @ SV40 ) )
| ~ ( ~ ( SV23 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV40 )
= ( SV22 @ SV40 ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[280]) ).
thf(294,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV41 )
| ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
| ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(295,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV41 )
= ( ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[281]) ).
thf(296,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ~ ( ( sK2_SX0 @ SV42 )
| ( SV22 @ SV42 ) )
| ~ ( ~ ( sK2_SX0 @ SV42 )
| ~ ( SV22 @ SV42 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(297,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ( sK2_SX0 @ SV42 )
= ( SV22 @ SV42 ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[282]) ).
thf(298,plain,
! [SV43: $i] :
( ( ~ ( ( sK2_SX0 @ SV43 )
| ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
| ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[283]) ).
thf(299,plain,
! [SV43: $i] :
( ( ( sK2_SX0 @ SV43 )
= ( ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[283]) ).
thf(300,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV36 )
| ( SV22 @ SV36 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( SV22 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(301,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV37 )
| ( sK2_SX0 @ SV37 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV37 )
| ~ ( sK2_SX0 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(302,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ~ ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ( SV22 @ SV38 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(303,plain,
! [SV39: $i] :
( ( ( ~ ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ( sK2_SX0 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(304,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV40 )
| ( SV22 @ SV40 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(305,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV41 )
| ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(306,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ~ ( ( sK2_SX0 @ SV42 )
| ( SV22 @ SV42 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV42 )
| ~ ( SV22 @ SV42 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(307,plain,
! [SV43: $i] :
( ( ( ~ ( ( sK2_SX0 @ SV43 )
| ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(308,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV36 )
| ( SV22 @ SV36 ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( SV22 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(309,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV37 )
| ( sK2_SX0 @ SV37 ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV37 )
| ~ ( sK2_SX0 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(310,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ( SV22 @ SV38 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(311,plain,
! [SV39: $i] :
( ( ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ( sK2_SX0 @ SV39 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(312,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV40 )
| ( SV22 @ SV40 ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(313,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV41 )
| ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(314,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ( sK2_SX0 @ SV42 )
| ( SV22 @ SV42 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV42 )
| ~ ( SV22 @ SV42 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(315,plain,
! [SV43: $i] :
( ( ( ( sK2_SX0 @ SV43 )
| ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(316,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( SV23 @ SV36 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( SV22 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(317,plain,
! [SV23: $i > $o,SV36: $i,SV22: $i > $o] :
( ( ( SV22 @ SV36 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( SV22 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(318,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( SV23 @ SV37 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV37 )
| ~ ( sK2_SX0 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(319,plain,
! [SV23: $i > $o,SV37: $i] :
( ( ( sK2_SX0 @ SV37 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV37 )
| ~ ( sK2_SX0 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[309]) ).
thf(320,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(321,plain,
! [SV38: $i,SV22: $i > $o] :
( ( ( SV22 @ SV38 )
= $false )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(322,plain,
! [SV39: $i] :
( ( ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(323,plain,
! [SV39: $i] :
( ( ( sK2_SX0 @ SV39 )
= $false )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(324,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( SV23 @ SV40 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(325,plain,
! [SV23: $i > $o,SV40: $i,SV22: $i > $o] :
( ( ( SV22 @ SV40 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(326,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( SV23 @ SV41 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(327,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[313]) ).
thf(328,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( sK2_SX0 @ SV42 )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV42 )
| ~ ( SV22 @ SV42 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(329,plain,
! [SV42: $i,SV22: $i > $o] :
( ( ( SV22 @ SV42 )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV42 )
| ~ ( SV22 @ SV42 ) ) )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(330,plain,
! [SV43: $i] :
( ( ( sK2_SX0 @ SV43 )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(331,plain,
! [SV43: $i] :
( ( ( ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(332,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV36 )
| ~ ( SV22 @ SV36 ) )
= $false )
| ( ( SV23 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(333,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV36 )
| ~ ( SV22 @ SV36 ) )
= $false )
| ( ( SV22 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(334,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV37 )
| ~ ( sK2_SX0 @ SV37 ) )
= $false )
| ( ( SV23 @ SV37 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(335,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV37 )
| ~ ( sK2_SX0 @ SV37 ) )
= $false )
| ( ( sK2_SX0 @ SV37 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(336,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(337,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(338,plain,
! [SV39: $i] :
( ( ( ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(339,plain,
! [SV39: $i] :
( ( ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(340,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV40 )
| ~ ( SV22 @ SV40 ) )
= $false )
| ( ( SV23 @ SV40 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(341,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV40 )
| ~ ( SV22 @ SV40 ) )
= $false )
| ( ( SV22 @ SV40 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(342,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(343,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(344,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ~ ( sK2_SX0 @ SV42 )
| ~ ( SV22 @ SV42 ) )
= $false )
| ( ( sK2_SX0 @ SV42 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(345,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ~ ( sK2_SX0 @ SV42 )
| ~ ( SV22 @ SV42 ) )
= $false )
| ( ( SV22 @ SV42 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(346,plain,
! [SV43: $i] :
( ( ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(347,plain,
! [SV43: $i] :
( ( ( ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(349,plain,
! [SV23: $i > $o,SV36: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV36 ) )
= $false )
| ( ( SV23 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(350,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV36 ) )
= $false )
| ( ( SV22 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(353,plain,
! [SV23: $i > $o,SV37: $i] :
( ( ( ~ ( sK2_SX0 @ SV37 ) )
= $false )
| ( ( SV23 @ SV37 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(354,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV37 ) )
= $false )
| ( ( sK2_SX0 @ SV37 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(356,plain,
! [SV22: $i > $o,SV38: $i,SV44: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) )
| ( SV38
!= ( sK1_Xh @ SV44 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(357,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(359,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) )
| ( SV39
!= ( sK1_Xh @ SV45 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(360,plain,
! [SV39: $i] :
( ( ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(363,plain,
! [SV23: $i > $o,SV40: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV40 ) )
= $false )
| ( ( SV23 @ SV40 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(364,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV40 ) )
= $false )
| ( ( SV22 @ SV40 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(367,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(368,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) )
| ( SV41
!= ( sK1_Xh @ SV46 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(370,plain,
! [SV42: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV42 ) )
= $false )
| ( ( sK2_SX0 @ SV42 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(371,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( ~ ( sK2_SX0 @ SV42 ) )
= $false )
| ( ( SV22 @ SV42 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(374,plain,
! [SV43: $i] :
( ( ( ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(375,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) )
| ( SV43
!= ( sK1_Xh @ SV47 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(377,plain,
! [SV23: $i > $o,SV36: $i,SV22: $i > $o] :
( ( ( SV22 @ SV36 )
= $true )
| ( ( SV23 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(378,plain,
! [SV22: $i > $o,SV36: $i,SV23: $i > $o] :
( ( ( SV23 @ SV36 )
= $true )
| ( ( SV22 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(381,plain,
! [SV23: $i > $o,SV37: $i] :
( ( ( sK2_SX0 @ SV37 )
= $true )
| ( ( SV23 @ SV37 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(382,plain,
! [SV37: $i,SV23: $i > $o] :
( ( ( SV23 @ SV37 )
= $true )
| ( ( sK2_SX0 @ SV37 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(384,plain,
! [SV22: $i > $o,SV38: $i,SV44: $i > $o] :
( ( ( ~ ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) )
| ( SV38
!= ( sK1_Xh @ SV44 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(385,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $true )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(387,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) )
| ( SV39
!= ( sK1_Xh @ SV45 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(388,plain,
! [SV39: $i] :
( ( ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(391,plain,
! [SV23: $i > $o,SV40: $i,SV22: $i > $o] :
( ( ( SV22 @ SV40 )
= $true )
| ( ( SV23 @ SV40 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(392,plain,
! [SV22: $i > $o,SV40: $i,SV23: $i > $o] :
( ( ( SV23 @ SV40 )
= $true )
| ( ( SV22 @ SV40 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(395,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(396,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) )
| ( SV41
!= ( sK1_Xh @ SV46 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(398,plain,
! [SV42: $i,SV22: $i > $o] :
( ( ( SV22 @ SV42 )
= $true )
| ( ( sK2_SX0 @ SV42 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(399,plain,
! [SV22: $i > $o,SV42: $i] :
( ( ( sK2_SX0 @ SV42 )
= $true )
| ( ( SV22 @ SV42 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(402,plain,
! [SV43: $i] :
( ( ( ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(403,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) )
| ( SV43
!= ( sK1_Xh @ SV47 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(404,plain,
! [SV22: $i > $o,SV38: $i,SV44: $i > $o] :
( ( ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) )
| ( SV38
!= ( sK1_Xh @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(405,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(406,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) )
| ( SV39
!= ( sK1_Xh @ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(407,plain,
! [SV39: $i] :
( ( ( ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(408,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(409,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) )
| ( SV41
!= ( sK1_Xh @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(410,plain,
! [SV43: $i] :
( ( ( ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(411,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) )
| ( SV43
!= ( sK1_Xh @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(412,plain,
! [SV22: $i > $o,SV38: $i,SV44: $i > $o] :
( ( ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) ) )
= $true )
| ( ( ( SV38
!= ( sK1_Xh @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(413,plain,
! [SV38: $i,SV22: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK3_SY187 @ SV22 @ SV38 @ ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) ) ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[405]) ).
thf(414,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) ) )
= $true )
| ( ( ( SV39
!= ( sK1_Xh @ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(415,plain,
! [SV39: $i] :
( ( ( ~ ~ ( ~ ~ ( sK4_SY188 @ SV39 @ ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) )
| ( SV39
!= ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[407]) ).
thf(416,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK5_SY189 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[408]) ).
thf(417,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) ) )
= $true )
| ( ( ( SV41
!= ( sK1_Xh @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(418,plain,
! [SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( sK6_SY190 @ SV43 @ ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) )
| ( SV43
!= ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[410]) ).
thf(419,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) ) )
= $true )
| ( ( ( SV43
!= ( sK1_Xh @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(420,plain,
! [SV22: $i > $o,SV38: $i,SV44: $i > $o] :
( ( ( ~ ( SV44 @ ( sK1_Xh @ SV44 ) ) )
= $false )
| ( ( ( SV38
!= ( sK1_Xh @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(421,plain,
! [SV38: $i,SV22: $i > $o] :
( ( ( ~ ( ~ ~ ( sK3_SY187 @ SV22 @ SV38 @ ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) ) ) )
= $true )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(422,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ ( sK1_Xh @ SV45 ) ) )
= $false )
| ( ( ( SV39
!= ( sK1_Xh @ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(423,plain,
! [SV39: $i] :
( ( ( ~ ( ~ ~ ( sK4_SY188 @ SV39 @ ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) )
| ( SV39
!= ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(424,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( ~ ~ ( sK5_SY189 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(425,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ ( sK1_Xh @ SV46 ) ) )
= $false )
| ( ( ( SV41
!= ( sK1_Xh @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(426,plain,
! [SV43: $i] :
( ( ( ~ ( ~ ~ ( sK6_SY190 @ SV43 @ ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) )
| ( SV43
!= ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(427,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ ( sK1_Xh @ SV47 ) ) )
= $false )
| ( ( ( SV43
!= ( sK1_Xh @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(428,plain,
! [SV22: $i > $o,SV38: $i,SV44: $i > $o] :
( ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( ( SV38
!= ( sK1_Xh @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(429,plain,
! [SV38: $i,SV22: $i > $o] :
( ( ( ~ ~ ( sK3_SY187 @ SV22 @ SV38 @ ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(430,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( ( SV39
!= ( sK1_Xh @ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(431,plain,
! [SV39: $i] :
( ( ( ~ ~ ( sK4_SY188 @ SV39 @ ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) )
| ( SV39
!= ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(432,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ~ ( sK5_SY189 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(433,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( ( SV41
!= ( sK1_Xh @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(434,plain,
! [SV43: $i] :
( ( ( ~ ~ ( sK6_SY190 @ SV43 @ ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) )
| ( SV43
!= ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(435,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( ( SV43
!= ( sK1_Xh @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(436,plain,
! [SV22: $i > $o,SV44: $i > $o,SV38: $i] :
( ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(437,plain,
! [SV38: $i,SV22: $i > $o] :
( ( ( ~ ~ ( sK3_SY187 @ SV22 @ SV38 @ ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(438,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( ( SV38
!= ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(439,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(440,plain,
! [SV39: $i] :
( ( ( ~ ~ ( sK4_SY188 @ SV39 @ ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(441,plain,
! [SV39: $i] :
( ( ( ( SV39
!= ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(442,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ~ ( sK5_SY189 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(443,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ( SV41
!= ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(444,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(445,plain,
! [SV43: $i] :
( ( ( ~ ~ ( sK6_SY190 @ SV43 @ ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(446,plain,
! [SV43: $i] :
( ( ( ( SV43
!= ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(447,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(448,plain,
! [SV44: $i > $o,SV22: $i > $o,SV38: $i] :
( ( ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) )
| ~ ( SV22 @ SV38 ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(449,plain,
! [SV38: $i,SV22: $i > $o] :
( ( ( ~ ( sK3_SY187 @ SV22 @ SV38 @ ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) ) )
= $true )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(450,plain,
! [SV22: $i > $o,SV38: $i] :
( ( ( SV38
= ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) )
= $true )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(451,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) )
| ~ ( sK2_SX0 @ SV39 ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(452,plain,
! [SV39: $i] :
( ( ( ~ ( sK4_SY188 @ SV39 @ ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(453,plain,
! [SV39: $i] :
( ( ( SV39
= ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) )
= $true )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(454,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( sK5_SY189 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(455,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( SV41
= ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(456,plain,
! [SV46: $i > $o,SV41: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(457,plain,
! [SV43: $i] :
( ( ( ~ ( sK6_SY190 @ SV43 @ ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(458,plain,
! [SV43: $i] :
( ( ( SV43
= ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) )
= $true )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(459,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( ~ ( sK2_SX0 @ SV43 )
| ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(460,plain,
! [SV22: $i > $o,SV44: $i > $o,SV38: $i] :
( ( ( ~ ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(461,plain,
! [SV44: $i > $o,SV38: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV38 ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(462,plain,
! [SV38: $i,SV22: $i > $o] :
( ( ( sK3_SY187 @ SV22 @ SV38 @ ( sK1_Xh @ ( sK3_SY187 @ SV22 @ SV38 ) ) )
= $false )
| ( ( SV22 @ SV38 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(463,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( ~ ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(464,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( ~ ( sK2_SX0 @ SV39 ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(465,plain,
! [SV39: $i] :
( ( ( sK4_SY188 @ SV39 @ ( sK1_Xh @ ( sK4_SY188 @ SV39 ) ) )
= $false )
| ( ( sK2_SX0 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(466,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( sK5_SY189 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY189 @ SV23 @ SV41 ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(467,plain,
! [SV46: $i > $o,SV41: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV41 ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(468,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( ~ ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[456]) ).
thf(469,plain,
! [SV43: $i] :
( ( ( sK6_SY190 @ SV43 @ ( sK1_Xh @ ( sK6_SY190 @ SV43 ) ) )
= $false )
| ( ( sK2_SX0 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(470,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( ~ ( sK2_SX0 @ SV43 ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(471,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( ~ ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[459]) ).
thf(472,plain,
! [SV22: $i > $o,SV44: $i > $o,SV38: $i] :
( ( ( ~ ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(473,plain,
! [SV44: $i > $o,SV38: $i,SV22: $i > $o] :
( ( ( SV22 @ SV38 )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(474,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( ~ ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(475,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( sK2_SX0 @ SV39 )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(476,plain,
! [SV46: $i > $o,SV41: $i,SV23: $i > $o] :
( ( ( SV23 @ SV41 )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(477,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( ~ ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(478,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( sK2_SX0 @ SV43 )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(479,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( ~ ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(480,plain,
! [SV22: $i > $o,SV44: $i > $o,SV38: $i] :
( ( ( ! [SY187: $i > $o] :
~ ~ ( ~ ~ ( SY187 @ ( sK1_Xh @ SY187 ) )
| ( SV38
!= ( sK1_Xh @ SY187 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(481,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( ! [SY188: $i > $o] :
~ ~ ( ~ ~ ( SY188 @ ( sK1_Xh @ SY188 ) )
| ( SV39
!= ( sK1_Xh @ SY188 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(482,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( ! [SY189: $i > $o] :
~ ~ ( ~ ~ ( SY189 @ ( sK1_Xh @ SY189 ) )
| ( SV41
!= ( sK1_Xh @ SY189 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(483,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( ! [SY190: $i > $o] :
~ ~ ( ~ ~ ( SY190 @ ( sK1_Xh @ SY190 ) )
| ( SV43
!= ( sK1_Xh @ SY190 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(484,plain,
! [SV38: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK7_SY187 @ SV22 @ SV44 @ SV38 @ ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[480]) ).
thf(485,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK8_SY188 @ SV45 @ SV39 @ ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) )
| ( SV39
!= ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[481]) ).
thf(486,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK9_SY189 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(487,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK10_SY190 @ SV47 @ SV43 @ ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) )
| ( SV43
!= ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[483]) ).
thf(488,plain,
! [SV38: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ( ~ ~ ( sK7_SY187 @ SV22 @ SV44 @ SV38 @ ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(489,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ( ~ ~ ( sK8_SY188 @ SV45 @ SV39 @ ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) )
| ( SV39
!= ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(490,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ( ~ ~ ( sK9_SY189 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(491,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ~ ( sK10_SY190 @ SV47 @ SV43 @ ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) )
| ( SV43
!= ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(492,plain,
! [SV38: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ~ ( sK7_SY187 @ SV22 @ SV44 @ SV38 @ ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(493,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ~ ( sK8_SY188 @ SV45 @ SV39 @ ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) )
| ( SV39
!= ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(494,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ~ ( sK9_SY189 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(495,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ~ ( sK10_SY190 @ SV47 @ SV43 @ ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) )
| ( SV43
!= ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(496,plain,
! [SV38: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ~ ( sK7_SY187 @ SV22 @ SV44 @ SV38 @ ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(497,plain,
! [SV44: $i > $o,SV22: $i > $o,SV38: $i] :
( ( ( ( SV38
!= ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(498,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ~ ( sK8_SY188 @ SV45 @ SV39 @ ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(499,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( ( SV39
!= ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(500,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ~ ( sK9_SY189 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(501,plain,
! [SV46: $i > $o,SV23: $i > $o,SV41: $i] :
( ( ( ( SV41
!= ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(502,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ~ ( sK10_SY190 @ SV47 @ SV43 @ ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(503,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( ( SV43
!= ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(504,plain,
! [SV38: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ( sK7_SY187 @ SV22 @ SV44 @ SV38 @ ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(505,plain,
! [SV44: $i > $o,SV22: $i > $o,SV38: $i] :
( ( ( SV38
= ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(506,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( ~ ( sK8_SY188 @ SV45 @ SV39 @ ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(507,plain,
! [SV45: $i > $o,SV39: $i] :
( ( ( SV39
= ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(508,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ( sK9_SY189 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(509,plain,
! [SV46: $i > $o,SV23: $i > $o,SV41: $i] :
( ( ( SV41
= ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(510,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( ~ ( sK10_SY190 @ SV47 @ SV43 @ ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(511,plain,
! [SV47: $i > $o,SV43: $i] :
( ( ( SV43
= ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(512,plain,
! [SV38: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( sK7_SY187 @ SV22 @ SV44 @ SV38 @ ( sK1_Xh @ ( sK7_SY187 @ SV22 @ SV44 @ SV38 ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(513,plain,
! [SV39: $i,SV45: $i > $o] :
( ( ( sK8_SY188 @ SV45 @ SV39 @ ( sK1_Xh @ ( sK8_SY188 @ SV45 @ SV39 ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV39
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(514,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( sK9_SY189 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY189 @ SV23 @ SV46 @ SV41 ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ sK2_SX0 )
= ( sK1_Xh @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(515,plain,
! [SV43: $i,SV47: $i > $o] :
( ( ( sK10_SY190 @ SV47 @ SV43 @ ( sK1_Xh @ ( sK10_SY190 @ SV47 @ SV43 ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV43
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(516,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ SV48 ) )
= $false ) ),
inference(rename,[status(thm)],[27]) ).
thf(521,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ SV48 ) )
= ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ sK2_SX0 ) ) )
= $false )
| ( ( ( SV50 @ SV49 )
= ( SV48 @ SV49 ) )
= $true ) ),
inference(res,[status(thm)],[516,25]) ).
thf(540,plain,
! [SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ),
inference(extuni,[status(esa)],[521:[bind(SV50,$thf( sK2_SX0 )),bind(SV48,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(541,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[521:[bind(SV48,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(542,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ( sK2_SX0 @ SV49 )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[521:[bind(SV50,$thf( sK2_SX0 ))]]) ).
thf(543,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[521]) ).
thf(544,plain,
! [SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= ( sK2_SX0 @ SV49 ) )
= $true ),
inference(extuni,[status(esa)],[521:[bind(SV48,$thf( sK2_SX0 )),bind(SV50,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(545,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[521:[bind(SV50,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(546,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( sK2_SX0 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[521:[bind(SV48,$thf( sK2_SX0 ))]]) ).
thf(547,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[521]) ).
thf(555,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ( SV48 @ SV49 ) )
| ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[547]) ).
thf(556,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[547]) ).
thf(557,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ( sK2_SX0 @ SV49 ) )
| ~ ( ~ ( SV50 @ SV49 )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[546]) ).
thf(558,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( sK2_SX0 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[546]) ).
thf(559,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ( SV48 @ SV49 ) )
| ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[545]) ).
thf(560,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[545]) ).
thf(561,plain,
! [SV49: $i] :
( ( ~ ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ( sK2_SX0 @ SV49 ) )
| ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(562,plain,
! [SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= ( sK2_SX0 @ SV49 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[544]) ).
thf(563,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ( SV48 @ SV49 ) )
| ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(564,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[543]) ).
thf(565,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ( ( sK2_SX0 @ SV49 )
| ( SV48 @ SV49 ) )
| ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[542]) ).
thf(566,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ( sK2_SX0 @ SV49 )
= ( SV48 @ SV49 ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[542]) ).
thf(567,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
| ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(568,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
= ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[541]) ).
thf(569,plain,
! [SV49: $i] :
( ( ~ ( ( sK2_SX0 @ SV49 )
| ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
| ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[540]) ).
thf(570,plain,
! [SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[540]) ).
thf(573,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ( SV48 @ SV49 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(574,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ( sK2_SX0 @ SV49 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(575,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ( SV48 @ SV49 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(576,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ( sK2_SX0 @ SV49 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(577,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ( SV48 @ SV49 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(578,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ( ( sK2_SX0 @ SV49 )
| ( SV48 @ SV49 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[565]) ).
thf(579,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ( SV50 @ SV49 )
| ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(580,plain,
! [SV49: $i] :
( ( ( ~ ( ( sK2_SX0 @ SV49 )
| ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(582,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
| ( SV48 @ SV49 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(583,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
| ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(584,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ( SV48 @ SV49 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(585,plain,
! [SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(586,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
| ( SV48 @ SV49 ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(587,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ( sK2_SX0 @ SV49 )
| ( SV48 @ SV49 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(588,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ( SV50 @ SV49 )
| ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(589,plain,
! [SV49: $i] :
( ( ( ( sK2_SX0 @ SV49 )
| ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(591,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(592,plain,
! [SV50: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(593,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(594,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(595,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(596,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(597,plain,
! [SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(598,plain,
! [SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(599,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(600,plain,
! [SV50: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(601,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(602,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(603,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(604,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(605,plain,
! [SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(606,plain,
! [SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(609,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(610,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(611,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(612,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(613,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(614,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(615,plain,
! [SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(616,plain,
! [SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(617,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(618,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(619,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(620,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(621,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(622,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(623,plain,
! [SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(624,plain,
! [SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(628,plain,
! [SV50: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[609]) ).
thf(629,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(632,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(633,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(635,plain,
! [SV48: $i > $o,SV49: $i,SV51: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV51 @ ( sK1_Xh @ SV51 ) )
| ( SV49
!= ( sK1_Xh @ SV51 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(636,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[614]) ).
thf(638,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV52 @ ( sK1_Xh @ SV52 ) )
| ( SV49
!= ( sK1_Xh @ SV52 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(639,plain,
! [SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(642,plain,
! [SV50: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(643,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(646,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( ~ ( SV48 @ SV49 ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(647,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(650,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(651,plain,
! [SV50: $i > $o,SV49: $i,SV53: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV53 @ ( sK1_Xh @ SV53 ) )
| ( SV49
!= ( sK1_Xh @ SV53 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(653,plain,
! [SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(654,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV54 @ ( sK1_Xh @ SV54 ) )
| ( SV49
!= ( sK1_Xh @ SV54 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(660,plain,
! [SV50: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $true )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(661,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $true )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(664,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $true )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[632]) ).
thf(665,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(667,plain,
! [SV48: $i > $o,SV49: $i,SV51: $i > $o] :
( ( ( ~ ( ~ ~ ( SV51 @ ( sK1_Xh @ SV51 ) )
| ( SV49
!= ( sK1_Xh @ SV51 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(668,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(670,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ( ~ ~ ( SV52 @ ( sK1_Xh @ SV52 ) )
| ( SV49
!= ( sK1_Xh @ SV52 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(671,plain,
! [SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(674,plain,
! [SV50: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $true )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(675,plain,
! [SV48: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $true )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(678,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(679,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $true )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(682,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(683,plain,
! [SV50: $i > $o,SV49: $i,SV53: $i > $o] :
( ( ( ~ ( ~ ~ ( SV53 @ ( sK1_Xh @ SV53 ) )
| ( SV49
!= ( sK1_Xh @ SV53 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(685,plain,
! [SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(686,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ( ~ ~ ( SV54 @ ( sK1_Xh @ SV54 ) )
| ( SV49
!= ( sK1_Xh @ SV54 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(691,plain,
! [SV48: $i > $o,SV49: $i,SV51: $i > $o] :
( ( ( ~ ~ ( SV51 @ ( sK1_Xh @ SV51 ) )
| ( SV49
!= ( sK1_Xh @ SV51 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(692,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(693,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ~ ( SV52 @ ( sK1_Xh @ SV52 ) )
| ( SV49
!= ( sK1_Xh @ SV52 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(694,plain,
! [SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(695,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(696,plain,
! [SV50: $i > $o,SV49: $i,SV53: $i > $o] :
( ( ( ~ ~ ( SV53 @ ( sK1_Xh @ SV53 ) )
| ( SV49
!= ( sK1_Xh @ SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[683]) ).
thf(697,plain,
! [SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(698,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ~ ( SV54 @ ( sK1_Xh @ SV54 ) )
| ( SV49
!= ( sK1_Xh @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(699,plain,
! [SV48: $i > $o,SV49: $i,SV51: $i > $o] :
( ( ( ~ ~ ( SV51 @ ( sK1_Xh @ SV51 ) ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV51 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[691]) ).
thf(700,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK11_SX0 @ SV48 @ SV49 @ ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) ) ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[692]) ).
thf(701,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ~ ( SV52 @ ( sK1_Xh @ SV52 ) ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV52 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(702,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( sK12_SX0 @ SV49 @ ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[694]) ).
thf(703,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK13_SX0 @ SV50 @ SV49 @ ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[695]) ).
thf(704,plain,
! [SV50: $i > $o,SV49: $i,SV53: $i > $o] :
( ( ( ~ ~ ( SV53 @ ( sK1_Xh @ SV53 ) ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(705,plain,
! [SV49: $i] :
( ( ( ~ ~ ( ~ ~ ( sK14_SX0 @ SV49 @ ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[697]) ).
thf(706,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ~ ( SV54 @ ( sK1_Xh @ SV54 ) ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(707,plain,
! [SV48: $i > $o,SV49: $i,SV51: $i > $o] :
( ( ( ~ ( SV51 @ ( sK1_Xh @ SV51 ) ) )
= $false )
| ( ( ( SV49
!= ( sK1_Xh @ SV51 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(708,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( ~ ( ~ ~ ( sK11_SX0 @ SV48 @ SV49 @ ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) ) ) )
= $true )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(709,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ( SV52 @ ( sK1_Xh @ SV52 ) ) )
= $false )
| ( ( ( SV49
!= ( sK1_Xh @ SV52 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(710,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ~ ( sK12_SX0 @ SV49 @ ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(711,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( ~ ~ ( sK13_SX0 @ SV50 @ SV49 @ ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) ) ) )
= $true )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(712,plain,
! [SV50: $i > $o,SV49: $i,SV53: $i > $o] :
( ( ( ~ ( SV53 @ ( sK1_Xh @ SV53 ) ) )
= $false )
| ( ( ( SV49
!= ( sK1_Xh @ SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(713,plain,
! [SV49: $i] :
( ( ( ~ ( ~ ~ ( sK14_SX0 @ SV49 @ ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(714,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ ( sK1_Xh @ SV54 ) ) )
= $false )
| ( ( ( SV49
!= ( sK1_Xh @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(715,plain,
! [SV48: $i > $o,SV49: $i,SV51: $i > $o] :
( ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV51 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(716,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( ~ ~ ( sK11_SX0 @ SV48 @ SV49 @ ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(717,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV52 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(718,plain,
! [SV49: $i] :
( ( ( ~ ~ ( sK12_SX0 @ SV49 @ ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(719,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ~ ( sK13_SX0 @ SV50 @ SV49 @ ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(720,plain,
! [SV50: $i > $o,SV49: $i,SV53: $i > $o] :
( ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(721,plain,
! [SV49: $i] :
( ( ( ~ ~ ( sK14_SX0 @ SV49 @ ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(722,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( ( SV49
!= ( sK1_Xh @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(723,plain,
! [SV48: $i > $o,SV51: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(724,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( ~ ~ ( sK11_SX0 @ SV48 @ SV49 @ ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(725,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(726,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(727,plain,
! [SV49: $i] :
( ( ( ~ ~ ( sK12_SX0 @ SV49 @ ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(728,plain,
! [SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(729,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ~ ( sK13_SX0 @ SV50 @ SV49 @ ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(730,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[719]) ).
thf(731,plain,
! [SV50: $i > $o,SV53: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( ~ ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(732,plain,
! [SV49: $i] :
( ( ( ~ ~ ( sK14_SX0 @ SV49 @ ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(733,plain,
! [SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(734,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( ~ ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(735,plain,
! [SV51: $i > $o,SV48: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(736,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( ~ ( sK11_SX0 @ SV48 @ SV49 @ ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) ) )
= $true )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(737,plain,
! [SV48: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) )
= $true )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(738,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) )
| ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(739,plain,
! [SV49: $i] :
( ( ( ~ ( sK12_SX0 @ SV49 @ ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(740,plain,
! [SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(741,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( ~ ( sK13_SX0 @ SV50 @ SV49 @ ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) ) )
= $true )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(742,plain,
! [SV50: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) )
= $true )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(743,plain,
! [SV53: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(744,plain,
! [SV49: $i] :
( ( ( ~ ( sK14_SX0 @ SV49 @ ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(745,plain,
! [SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) )
= $true )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(746,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 )
| ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(747,plain,
! [SV48: $i > $o,SV51: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(748,plain,
! [SV51: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( ~ ( SV48 @ SV49 ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(749,plain,
! [SV49: $i,SV48: $i > $o] :
( ( ( sK11_SX0 @ SV48 @ SV49 @ ( sK1_Xh @ ( sK11_SX0 @ SV48 @ SV49 ) ) )
= $false )
| ( ( SV48 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(750,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(751,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(752,plain,
! [SV49: $i] :
( ( ( sK12_SX0 @ SV49 @ ( sK1_Xh @ ( sK12_SX0 @ SV49 ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(753,plain,
! [SV49: $i,SV50: $i > $o] :
( ( ( sK13_SX0 @ SV50 @ SV49 @ ( sK1_Xh @ ( sK13_SX0 @ SV50 @ SV49 ) ) )
= $false )
| ( ( SV50 @ SV49 )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(754,plain,
! [SV53: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ SV49 ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(755,plain,
! [SV50: $i > $o,SV53: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(756,plain,
! [SV49: $i] :
( ( ( sK14_SX0 @ SV49 @ ( sK1_Xh @ ( sK14_SX0 @ SV49 ) ) )
= $false )
| ( ( sK2_SX0 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(757,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( ~ ( sK2_SX0 @ SV49 ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(758,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(759,plain,
! [SV48: $i > $o,SV51: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(760,plain,
! [SV51: $i > $o,SV49: $i,SV48: $i > $o] :
( ( ( SV48 @ SV49 )
= $true )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(761,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(762,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $true )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(763,plain,
! [SV53: $i > $o,SV49: $i,SV50: $i > $o] :
( ( ( SV50 @ SV49 )
= $true )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(764,plain,
! [SV50: $i > $o,SV53: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(765,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( sK2_SX0 @ SV49 )
= $true )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(766,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(767,plain,
! [SV48: $i > $o,SV51: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(768,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(769,plain,
! [SV50: $i > $o,SV53: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(770,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV49
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(771,plain,
! [SV49: $i,SV51: $i > $o,SV48: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK15_SX0 @ SV48 @ SV51 @ SV49 @ ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) ) ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[767]) ).
thf(772,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK16_SX0 @ SV52 @ SV49 @ ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[768]) ).
thf(773,plain,
! [SV49: $i,SV53: $i > $o,SV50: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK17_SX0 @ SV50 @ SV53 @ SV49 @ ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[769]) ).
thf(774,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK18_SX0 @ SV54 @ SV49 @ ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[770]) ).
thf(775,plain,
! [SV49: $i,SV51: $i > $o,SV48: $i > $o] :
( ( ( ~ ( ~ ~ ( sK15_SX0 @ SV48 @ SV51 @ SV49 @ ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) ) ) )
= $true )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(776,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ( ~ ~ ( sK16_SX0 @ SV52 @ SV49 @ ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) ) ) )
= $true )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(777,plain,
! [SV49: $i,SV53: $i > $o,SV50: $i > $o] :
( ( ( ~ ( ~ ~ ( sK17_SX0 @ SV50 @ SV53 @ SV49 @ ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) ) ) )
= $true )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[773]) ).
thf(778,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ( ~ ~ ( sK18_SX0 @ SV54 @ SV49 @ ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) ) ) )
= $true )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(779,plain,
! [SV49: $i,SV51: $i > $o,SV48: $i > $o] :
( ( ( ~ ~ ( sK15_SX0 @ SV48 @ SV51 @ SV49 @ ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(780,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ~ ( sK16_SX0 @ SV52 @ SV49 @ ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(781,plain,
! [SV49: $i,SV53: $i > $o,SV50: $i > $o] :
( ( ( ~ ~ ( sK17_SX0 @ SV50 @ SV53 @ SV49 @ ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(782,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ~ ( sK18_SX0 @ SV54 @ SV49 @ ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) )
| ( SV49
!= ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(783,plain,
! [SV49: $i,SV51: $i > $o,SV48: $i > $o] :
( ( ( ~ ~ ( sK15_SX0 @ SV48 @ SV51 @ SV49 @ ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(784,plain,
! [SV51: $i > $o,SV48: $i > $o,SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(785,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ~ ( sK16_SX0 @ SV52 @ SV49 @ ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(786,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(787,plain,
! [SV49: $i,SV53: $i > $o,SV50: $i > $o] :
( ( ( ~ ~ ( sK17_SX0 @ SV50 @ SV53 @ SV49 @ ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(788,plain,
! [SV53: $i > $o,SV50: $i > $o,SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(789,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ~ ( sK18_SX0 @ SV54 @ SV49 @ ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(790,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( ( SV49
!= ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(791,plain,
! [SV49: $i,SV51: $i > $o,SV48: $i > $o] :
( ( ( ~ ( sK15_SX0 @ SV48 @ SV51 @ SV49 @ ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) ) )
= $true )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(792,plain,
! [SV51: $i > $o,SV48: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) )
= $true )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(793,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( ~ ( sK16_SX0 @ SV52 @ SV49 @ ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) ) )
= $true )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(794,plain,
! [SV52: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) )
= $true )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(795,plain,
! [SV49: $i,SV53: $i > $o,SV50: $i > $o] :
( ( ( ~ ( sK17_SX0 @ SV50 @ SV53 @ SV49 @ ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) ) )
= $true )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(796,plain,
! [SV53: $i > $o,SV50: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) )
= $true )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(797,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( ~ ( sK18_SX0 @ SV54 @ SV49 @ ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) ) )
= $true )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(798,plain,
! [SV54: $i > $o,SV49: $i] :
( ( ( SV49
= ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) )
= $true )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(799,plain,
! [SV49: $i,SV51: $i > $o,SV48: $i > $o] :
( ( ( sK15_SX0 @ SV48 @ SV51 @ SV49 @ ( sK1_Xh @ ( sK15_SX0 @ SV48 @ SV51 @ SV49 ) ) )
= $false )
| ( ( SV51 @ ( sK1_Xh @ SV51 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV51 ) )
= $false )
| ( ( ( sK1_Xh @ SV48 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(800,plain,
! [SV49: $i,SV52: $i > $o] :
( ( ( sK16_SX0 @ SV52 @ SV49 @ ( sK1_Xh @ ( sK16_SX0 @ SV52 @ SV49 ) ) )
= $false )
| ( ( SV52 @ ( sK1_Xh @ SV52 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(801,plain,
! [SV49: $i,SV53: $i > $o,SV50: $i > $o] :
( ( ( sK17_SX0 @ SV50 @ SV53 @ SV49 @ ( sK1_Xh @ ( sK17_SX0 @ SV50 @ SV53 @ SV49 ) ) )
= $false )
| ( ( SV53 @ ( sK1_Xh @ SV53 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV53 ) )
= $false )
| ( ( ( sK1_Xh @ SV50 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(802,plain,
! [SV49: $i,SV54: $i > $o] :
( ( ( sK18_SX0 @ SV54 @ SV49 @ ( sK1_Xh @ ( sK18_SX0 @ SV54 @ SV49 ) ) )
= $false )
| ( ( SV54 @ ( sK1_Xh @ SV54 ) )
= $true )
| ( ( SV49
= ( sK1_Xh @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(806,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o] :
( ( ( SV57 @ SV56 )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(rename,[status(thm)],[40]) ).
thf(818,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o] :
( ( ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ sK2_SX0 ) ) )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( SV55 @ SV56 )
= $false ) ),
inference(res,[status(thm)],[806,25]) ).
thf(828,plain,
! [SV56: $i] :
( ( ( sK2_SX0 @ SV56 )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[818:[bind(SV55,$thf( sK2_SX0 )),bind(SV57,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(829,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( SV55 @ SV56 )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[818:[bind(SV57,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(830,plain,
! [SV57: $i > $o,SV56: $i] :
( ( ( sK2_SX0 @ SV56 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[818:[bind(SV55,$thf( sK2_SX0 ))]]) ).
thf(831,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o] :
( ( ( SV55 @ SV56 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[818]) ).
thf(832,plain,
! [SV56: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extuni,[status(esa)],[818:[bind(SV57,$thf( sK2_SX0 )),bind(SV55,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(833,plain,
! [SV57: $i > $o,SV56: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[818:[bind(SV55,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(834,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( SV55 @ SV56 )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[818:[bind(SV57,$thf( sK2_SX0 ))]]) ).
thf(835,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o] :
( ( ( SV55 @ SV56 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[818]) ).
thf(843,plain,
! [SV57: $i > $o,SV56: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(844,plain,
! [SV56: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(845,plain,
! [SV55: $i > $o,SV56: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(846,plain,
! [SV56: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV56
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(853,plain,
! [SV57: $i > $o,SV56: $i,SV145: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV145 @ ( sK1_Xh @ SV145 ) )
| ( SV56
!= ( sK1_Xh @ SV145 ) ) ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(854,plain,
! [SV56: $i,SV146: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV146 @ ( sK1_Xh @ SV146 ) )
| ( SV56
!= ( sK1_Xh @ SV146 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(855,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK19_SX0 @ SV55 @ SV56 @ ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) )
| ( SV56
!= ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) ) ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[845]) ).
thf(856,plain,
! [SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( sK20_SX0 @ SV56 @ ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) )
| ( SV56
!= ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[846]) ).
thf(863,plain,
! [SV57: $i > $o,SV56: $i,SV145: $i > $o] :
( ( ( ~ ( ~ ~ ( SV145 @ ( sK1_Xh @ SV145 ) )
| ( SV56
!= ( sK1_Xh @ SV145 ) ) ) )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(864,plain,
! [SV56: $i,SV146: $i > $o] :
( ( ( ~ ( ~ ~ ( SV146 @ ( sK1_Xh @ SV146 ) )
| ( SV56
!= ( sK1_Xh @ SV146 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(865,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( ~ ( ~ ~ ( sK19_SX0 @ SV55 @ SV56 @ ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) )
| ( SV56
!= ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) ) ) )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(866,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ~ ( sK20_SX0 @ SV56 @ ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) )
| ( SV56
!= ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(871,plain,
! [SV57: $i > $o,SV56: $i,SV145: $i > $o] :
( ( ( ~ ~ ( SV145 @ ( sK1_Xh @ SV145 ) )
| ( SV56
!= ( sK1_Xh @ SV145 ) ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(872,plain,
! [SV56: $i,SV146: $i > $o] :
( ( ( ~ ~ ( SV146 @ ( sK1_Xh @ SV146 ) )
| ( SV56
!= ( sK1_Xh @ SV146 ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(873,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( ~ ~ ( sK19_SX0 @ SV55 @ SV56 @ ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) )
| ( SV56
!= ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(874,plain,
! [SV56: $i] :
( ( ( ~ ~ ( sK20_SX0 @ SV56 @ ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) )
| ( SV56
!= ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(879,plain,
! [SV57: $i > $o,SV56: $i,SV145: $i > $o] :
( ( ( ~ ~ ( SV145 @ ( sK1_Xh @ SV145 ) ) )
= $true )
| ( ( ( SV56
!= ( sK1_Xh @ SV145 ) ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(880,plain,
! [SV56: $i,SV146: $i > $o] :
( ( ( ~ ~ ( SV146 @ ( sK1_Xh @ SV146 ) ) )
= $true )
| ( ( ( SV56
!= ( sK1_Xh @ SV146 ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(881,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( ~ ~ ( sK19_SX0 @ SV55 @ SV56 @ ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(882,plain,
! [SV55: $i > $o,SV56: $i] :
( ( ( ( SV56
!= ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(883,plain,
! [SV56: $i] :
( ( ( ~ ~ ( sK20_SX0 @ SV56 @ ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(884,plain,
! [SV56: $i] :
( ( ( ( SV56
!= ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(887,plain,
! [SV57: $i > $o,SV56: $i,SV145: $i > $o] :
( ( ( ~ ( SV145 @ ( sK1_Xh @ SV145 ) ) )
= $false )
| ( ( ( SV56
!= ( sK1_Xh @ SV145 ) ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(888,plain,
! [SV56: $i,SV146: $i > $o] :
( ( ( ~ ( SV146 @ ( sK1_Xh @ SV146 ) ) )
= $false )
| ( ( ( SV56
!= ( sK1_Xh @ SV146 ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(889,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( ~ ( sK19_SX0 @ SV55 @ SV56 @ ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) ) )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(890,plain,
! [SV55: $i > $o,SV56: $i] :
( ( ( SV56
= ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(891,plain,
! [SV56: $i] :
( ( ( ~ ( sK20_SX0 @ SV56 @ ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[883]) ).
thf(892,plain,
! [SV56: $i] :
( ( ( SV56
= ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(895,plain,
! [SV57: $i > $o,SV56: $i,SV145: $i > $o] :
( ( ( SV145 @ ( sK1_Xh @ SV145 ) )
= $true )
| ( ( ( SV56
!= ( sK1_Xh @ SV145 ) ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(896,plain,
! [SV56: $i,SV146: $i > $o] :
( ( ( SV146 @ ( sK1_Xh @ SV146 ) )
= $true )
| ( ( ( SV56
!= ( sK1_Xh @ SV146 ) ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(897,plain,
! [SV56: $i,SV55: $i > $o] :
( ( ( sK19_SX0 @ SV55 @ SV56 @ ( sK1_Xh @ ( sK19_SX0 @ SV55 @ SV56 ) ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(898,plain,
! [SV56: $i] :
( ( ( sK20_SX0 @ SV56 @ ( sK1_Xh @ ( sK20_SX0 @ SV56 ) ) )
= $false )
| ( ( sK2_SX0 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(899,plain,
! [SV57: $i > $o,SV145: $i > $o,SV56: $i] :
( ( ( SV56
= ( sK1_Xh @ SV145 ) )
= $false )
| ( ( SV145 @ ( sK1_Xh @ SV145 ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV57 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(900,plain,
! [SV146: $i > $o,SV56: $i] :
( ( ( SV56
= ( sK1_Xh @ SV146 ) )
= $false )
| ( ( SV146 @ ( sK1_Xh @ SV146 ) )
= $true )
| ( ( sK2_SX0 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(901,plain,
! [SV147: $i > $o,SV148: $i,SV149: $i > $o] :
( ( ( SV149 @ SV148 )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ SV147 ) )
= $false ) ),
inference(rename,[status(thm)],[41]) ).
thf(907,plain,
! [SV147: $i > $o,SV148: $i,SV149: $i > $o,SV55: $i > $o,SV56: $i,SV57: $i > $o] :
( ( ( ( SV149 @ SV148 )
= ( SV55 @ SV56 ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ SV147 ) )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(res,[status(thm)],[901,806]) ).
thf(909,plain,
! [SV147: $i > $o,SV148: $i,SV149: $i > $o,SV55: $i > $o,SV56: $i,SV57: $i > $o] :
( ( ( ( SV147 @ SV148 )
= ( SV57 @ SV56 ) )
= $false )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ SV147 ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(res,[status(thm)],[901,806]) ).
thf(917,plain,
! [SV147: $i > $o,SV148: $i,SV149: $i > $o] :
( ( ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ SV147 ) )
= ( ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) )
= ( sK1_Xh @ sK2_SX0 ) ) )
= $false )
| ( ( SV149 @ SV148 )
= $true )
| ( ( SV147 @ SV148 )
= $false ) ),
inference(res,[status(thm)],[901,25]) ).
thf(927,plain,
! [SV148: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extuni,[status(esa)],[917:[bind(SV149,$thf( sK2_SX0 )),bind(SV147,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(928,plain,
! [SV149: $i > $o,SV148: $i] :
( ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[917:[bind(SV147,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(929,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( SV147 @ SV148 )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[917:[bind(SV149,$thf( sK2_SX0 ))]]) ).
thf(930,plain,
! [SV149: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( SV147 @ SV148 )
= $false )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[917]) ).
thf(931,plain,
! [SV148: $i] :
( ( ( sK2_SX0 @ SV148 )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[917:[bind(SV147,$thf( sK2_SX0 )),bind(SV149,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(932,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( SV147 @ SV148 )
= $false )
| ( ( ~ ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[917:[bind(SV149,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(933,plain,
! [SV149: $i > $o,SV148: $i] :
( ( ( sK2_SX0 @ SV148 )
= $false )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[917:[bind(SV147,$thf( sK2_SX0 ))]]) ).
thf(934,plain,
! [SV149: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( SV147 @ SV148 )
= $false )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh
@ ^ [SX1: $i] :
~ ! [SX2: $i > $o] :
~ ~ ( ~ ~ ( SX2 @ ( sK1_Xh @ SX2 ) )
| ( SX1
!= ( sK1_Xh @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[917]) ).
thf(935,plain,
! [SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( SV57 @ SV56 )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( ( SV147 @ SV148 )
= ( SV57 @ SV56 ) )
= $false ) ),
inference(extuni,[status(esa)],[909:[bind(SV55,$thf( SV57 )),bind(SV149,$thf( SV147 ))]]) ).
thf(936,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( ( SV147 @ SV148 )
= ( SV57 @ SV56 ) )
= $false ) ),
inference(extuni,[status(esa)],[909:[bind(SV149,$thf( SV147 ))]]) ).
thf(937,plain,
! [SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( SV57 @ SV56 )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( SV147 @ SV148 )
= ( SV57 @ SV56 ) )
= $false ) ),
inference(extuni,[status(esa)],[907:[bind(SV55,$thf( SV57 )),bind(SV149,$thf( SV147 ))]]) ).
thf(938,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( SV147 @ SV148 )
= ( SV55 @ SV56 ) )
= $false ) ),
inference(extuni,[status(esa)],[907:[bind(SV149,$thf( SV147 ))]]) ).
thf(946,plain,
! [SV147: $i > $o,SV148: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(947,plain,
! [SV148: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(948,plain,
! [SV149: $i > $o,SV148: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(949,plain,
! [SV148: $i] :
( ( ( ! [SX0: $i > $o] :
~ ~ ( ~ ~ ( SX0 @ ( sK1_Xh @ SX0 ) )
| ( SV148
!= ( sK1_Xh @ SX0 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[927]) ).
thf(950,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ~ ( ( SV147 @ SV148 )
| ( SV57 @ SV56 ) )
| ~ ( ~ ( SV147 @ SV148 )
| ~ ( SV57 @ SV56 ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[936]) ).
thf(951,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ( SV147 @ SV148 )
= ( SV57 @ SV56 ) )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[936]) ).
thf(953,plain,
! [SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ( SV147 @ SV148 )
= ( SV57 @ SV56 ) )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( SV57 @ SV56 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[935]) ).
thf(954,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ~ ( ( SV147 @ SV148 )
| ( SV55 @ SV56 ) )
| ~ ( ~ ( SV147 @ SV148 )
| ~ ( SV55 @ SV56 ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[938]) ).
thf(955,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ( SV147 @ SV148 )
= ( SV55 @ SV56 ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[938]) ).
thf(957,plain,
! [SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ( SV147 @ SV148 )
= ( SV57 @ SV56 ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[937]) ).
thf(964,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK21_SX0 @ SV147 @ SV148 @ ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) )
| ( SV148
!= ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[946]) ).
thf(965,plain,
! [SV148: $i] :
( ( ( ~ ~ ( ~ ~ ( sK22_SX0 @ SV148 @ ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) )
| ( SV148
!= ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[947]) ).
thf(966,plain,
! [SV149: $i > $o,SV148: $i,SV241: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV241 @ ( sK1_Xh @ SV241 ) )
| ( SV148
!= ( sK1_Xh @ SV241 ) ) ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(967,plain,
! [SV148: $i,SV242: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV242 @ ( sK1_Xh @ SV242 ) )
| ( SV148
!= ( sK1_Xh @ SV242 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(968,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ~ ( ( SV147 @ SV148 )
| ( SV57 @ SV56 ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(973,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ~ ( ~ ( SV147 @ SV148 )
| ~ ( SV55 @ SV56 ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(982,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( ~ ( ~ ~ ( sK21_SX0 @ SV147 @ SV148 @ ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) )
| ( SV148
!= ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) ) ) )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(983,plain,
! [SV148: $i] :
( ( ( ~ ( ~ ~ ( sK22_SX0 @ SV148 @ ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) )
| ( SV148
!= ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(984,plain,
! [SV149: $i > $o,SV148: $i,SV241: $i > $o] :
( ( ( ~ ( ~ ~ ( SV241 @ ( sK1_Xh @ SV241 ) )
| ( SV148
!= ( sK1_Xh @ SV241 ) ) ) )
= $false )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(985,plain,
! [SV148: $i,SV242: $i > $o] :
( ( ( ~ ( ~ ~ ( SV242 @ ( sK1_Xh @ SV242 ) )
| ( SV148
!= ( sK1_Xh @ SV242 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(986,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ( SV147 @ SV148 )
| ( SV57 @ SV56 ) )
= $true )
| ( ( SV147 @ SV148 )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(991,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ~ ( SV147 @ SV148 )
| ~ ( SV55 @ SV56 ) )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(998,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( ~ ~ ( sK21_SX0 @ SV147 @ SV148 @ ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) )
| ( SV148
!= ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(999,plain,
! [SV148: $i] :
( ( ( ~ ~ ( sK22_SX0 @ SV148 @ ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) )
| ( SV148
!= ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1000,plain,
! [SV149: $i > $o,SV148: $i,SV241: $i > $o] :
( ( ( ~ ~ ( SV241 @ ( sK1_Xh @ SV241 ) )
| ( SV148
!= ( sK1_Xh @ SV241 ) ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1001,plain,
! [SV148: $i,SV242: $i > $o] :
( ( ( ~ ~ ( SV242 @ ( sK1_Xh @ SV242 ) )
| ( SV148
!= ( sK1_Xh @ SV242 ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1002,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( SV147 @ SV148 )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( SV147 @ SV148 )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1007,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( ~ ( SV147 @ SV148 ) )
= $true )
| ( ( ~ ( SV55 @ SV56 ) )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1014,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( ~ ~ ( sK21_SX0 @ SV147 @ SV148 @ ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1015,plain,
! [SV147: $i > $o,SV148: $i] :
( ( ( ( SV148
!= ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1016,plain,
! [SV148: $i] :
( ( ( ~ ~ ( sK22_SX0 @ SV148 @ ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1017,plain,
! [SV148: $i] :
( ( ( ( SV148
!= ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1018,plain,
! [SV149: $i > $o,SV148: $i,SV241: $i > $o] :
( ( ( ~ ~ ( SV241 @ ( sK1_Xh @ SV241 ) ) )
= $true )
| ( ( ( SV148
!= ( sK1_Xh @ SV241 ) ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1019,plain,
! [SV148: $i,SV242: $i > $o] :
( ( ( ~ ~ ( SV242 @ ( sK1_Xh @ SV242 ) ) )
= $true )
| ( ( ( SV148
!= ( sK1_Xh @ SV242 ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1022,plain,
! [SV57: $i > $o,SV56: $i,SV55: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( SV147 @ SV148 )
= $false )
| ( ( ~ ( SV55 @ SV56 ) )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1026,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( ~ ( sK21_SX0 @ SV147 @ SV148 @ ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) ) )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1027,plain,
! [SV147: $i > $o,SV148: $i] :
( ( ( SV148
= ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1028,plain,
! [SV148: $i] :
( ( ( ~ ( sK22_SX0 @ SV148 @ ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1029,plain,
! [SV148: $i] :
( ( ( SV148
= ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1030,plain,
! [SV149: $i > $o,SV148: $i,SV241: $i > $o] :
( ( ( ~ ( SV241 @ ( sK1_Xh @ SV241 ) ) )
= $false )
| ( ( ( SV148
!= ( sK1_Xh @ SV241 ) ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1031,plain,
! [SV148: $i,SV242: $i > $o] :
( ( ( ~ ( SV242 @ ( sK1_Xh @ SV242 ) ) )
= $false )
| ( ( ( SV148
!= ( sK1_Xh @ SV242 ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1034,plain,
! [SV57: $i > $o,SV148: $i,SV147: $i > $o,SV56: $i,SV55: $i > $o] :
( ( ( SV55 @ SV56 )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1038,plain,
! [SV148: $i,SV147: $i > $o] :
( ( ( sK21_SX0 @ SV147 @ SV148 @ ( sK1_Xh @ ( sK21_SX0 @ SV147 @ SV148 ) ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV147 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1039,plain,
! [SV148: $i] :
( ( ( sK22_SX0 @ SV148 @ ( sK1_Xh @ ( sK22_SX0 @ SV148 ) ) )
= $false )
| ( ( sK2_SX0 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1040,plain,
! [SV149: $i > $o,SV148: $i,SV241: $i > $o] :
( ( ( SV241 @ ( sK1_Xh @ SV241 ) )
= $true )
| ( ( ( SV148
!= ( sK1_Xh @ SV241 ) ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1030]) ).
thf(1041,plain,
! [SV148: $i,SV242: $i > $o] :
( ( ( SV242 @ ( sK1_Xh @ SV242 ) )
= $true )
| ( ( ( SV148
!= ( sK1_Xh @ SV242 ) ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1042,plain,
! [SV149: $i > $o,SV241: $i > $o,SV148: $i] :
( ( ( SV148
= ( sK1_Xh @ SV241 ) )
= $false )
| ( ( SV241 @ ( sK1_Xh @ SV241 ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ sK2_SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1043,plain,
! [SV242: $i > $o,SV148: $i] :
( ( ( SV148
= ( sK1_Xh @ SV242 ) )
= $false )
| ( ( SV242 @ ( sK1_Xh @ SV242 ) )
= $true )
| ( ( sK2_SX0 @ SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1044,plain,
! [SV55: $i > $o,SV56: $i,SV57: $i > $o,SV148: $i,SV147: $i > $o] :
( ( ( SV147 @ SV148 )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(sim,[status(thm)],[1002]) ).
thf(1045,plain,
! [SV57: $i > $o,SV148: $i,SV147: $i > $o,SV56: $i,SV55: $i > $o] :
( ( ( SV55 @ SV56 )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(sim,[status(thm)],[1034]) ).
thf(1046,plain,
! [SV243: $i,SV244: $i > $o] :
( ( ( ~ ( SV244 @ SV243 ) )
= $false )
| ( ( SV244 @ SV243 )
= $false ) ),
inference(rename,[status(thm)],[144]) ).
thf(1047,plain,
! [SV243: $i,SV244: $i > $o,SV147: $i > $o,SV148: $i,SV149: $i > $o] :
( ( ( ( SV244 @ SV243 )
= ( SV149 @ SV148 ) )
= $false )
| ( ( ~ ( SV244 @ SV243 ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ SV147 ) )
= $false ) ),
inference(res,[status(thm)],[1046,901]) ).
thf(1049,plain,
! [SV243: $i,SV244: $i > $o,SV55: $i > $o,SV56: $i,SV57: $i > $o] :
( ( ( ( SV244 @ SV243 )
= ( SV57 @ SV56 ) )
= $false )
| ( ( ~ ( SV244 @ SV243 ) )
= $false )
| ( ( SV55 @ SV56 )
= $false )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(res,[status(thm)],[1046,806]) ).
thf(1063,plain,
! [SV56: $i,SV57: $i > $o,SV243: $i,SV244: $i > $o] :
( ( ( SV57 @ SV56 )
= $false )
| ( ( ~ ( SV244 @ SV243 ) )
= $false )
| ( ( ( SV244 @ SV243 )
= ( SV57 @ SV56 ) )
= $false ) ),
inference(extuni,[status(esa)],[1049:[bind(SV55,$thf( SV57 ))]]) ).
thf(1064,plain,
! [SV148: $i,SV147: $i > $o,SV243: $i,SV244: $i > $o] :
( ( ( SV147 @ SV148 )
= $false )
| ( ( ~ ( SV244 @ SV243 ) )
= $false )
| ( ( ( SV244 @ SV243 )
= ( SV147 @ SV148 ) )
= $false ) ),
inference(extuni,[status(esa)],[1047:[bind(SV149,$thf( SV147 ))]]) ).
thf(1065,plain,
! [SV56: $i,SV57: $i > $o,SV243: $i,SV244: $i > $o] :
( ( ( SV244 @ SV243 )
= $true )
| ( ( SV57 @ SV56 )
= $false )
| ( ( ( SV244 @ SV243 )
= ( SV57 @ SV56 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1066,plain,
! [SV148: $i,SV147: $i > $o,SV243: $i,SV244: $i > $o] :
( ( ( SV244 @ SV243 )
= $true )
| ( ( SV147 @ SV148 )
= $false )
| ( ( ( SV244 @ SV243 )
= ( SV147 @ SV148 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1070,plain,
! [SV56: $i,SV57: $i > $o,SV243: $i,SV244: $i > $o] :
( ( ( ( SV244 @ SV243 )
= ( SV57 @ SV56 ) )
= $false )
| ( ( SV57 @ SV56 )
= $false )
| ( ( SV244 @ SV243 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1065]) ).
thf(1072,plain,
! [SV148: $i,SV147: $i > $o,SV243: $i,SV244: $i > $o] :
( ( ( ( SV244 @ SV243 )
= ( SV147 @ SV148 ) )
= $false )
| ( ( SV147 @ SV148 )
= $false )
| ( ( SV244 @ SV243 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1066]) ).
thf(1091,plain,
! [SV287: $i,SV288: $i > $o] :
( ( ( ~ ( SV288 @ SV287 ) )
= $true )
| ( ( SV288 @ SV287 )
= $true ) ),
inference(rename,[status(thm)],[145]) ).
thf(1095,plain,
! [SV287: $i,SV288: $i > $o,SV243: $i,SV244: $i > $o] :
( ( ( ( ~ ( SV288 @ SV287 ) )
= ( ~ ( SV244 @ SV243 ) ) )
= $false )
| ( ( SV288 @ SV287 )
= $true )
| ( ( SV244 @ SV243 )
= $false ) ),
inference(res,[status(thm)],[1091,1046]) ).
thf(1098,plain,
! [SV287: $i,SV288: $i > $o,SV147: $i > $o,SV148: $i,SV149: $i > $o] :
( ( ( ( SV288 @ SV287 )
= ( SV147 @ SV148 ) )
= $false )
| ( ( ~ ( SV288 @ SV287 ) )
= $true )
| ( ( SV149 @ SV148 )
= $true )
| ( ( ( sK1_Xh @ SV149 )
= ( sK1_Xh @ SV147 ) )
= $false ) ),
inference(res,[status(thm)],[1091,901]) ).
thf(1102,plain,
! [SV287: $i,SV288: $i > $o,SV55: $i > $o,SV56: $i,SV57: $i > $o] :
( ( ( ( SV288 @ SV287 )
= ( SV55 @ SV56 ) )
= $false )
| ( ( ~ ( SV288 @ SV287 ) )
= $true )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( sK1_Xh @ SV55 )
= ( sK1_Xh @ SV57 ) )
= $false ) ),
inference(res,[status(thm)],[1091,806]) ).
thf(1116,plain,
! [SV56: $i,SV57: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( SV57 @ SV56 )
= $true )
| ( ( ~ ( SV288 @ SV287 ) )
= $true )
| ( ( ( SV288 @ SV287 )
= ( SV57 @ SV56 ) )
= $false ) ),
inference(extuni,[status(esa)],[1102:[bind(SV55,$thf( SV57 ))]]) ).
thf(1117,plain,
! [SV148: $i,SV147: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( SV147 @ SV148 )
= $true )
| ( ( ~ ( SV288 @ SV287 ) )
= $true )
| ( ( ( SV288 @ SV287 )
= ( SV147 @ SV148 ) )
= $false ) ),
inference(extuni,[status(esa)],[1098:[bind(SV149,$thf( SV147 ))]]) ).
thf(1118,plain,
! [SV243: $i,SV244: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( SV244 @ SV243 )
= $false )
| ( ( SV288 @ SV287 )
= $true )
| ( ( ( SV288 @ SV287 )
= ( SV244 @ SV243 ) )
= $false ) ),
inference(extuni,[status(esa)],[1095]) ).
thf(1119,plain,
! [SV56: $i,SV57: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( SV288 @ SV287 )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( ( SV288 @ SV287 )
= ( SV57 @ SV56 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1120,plain,
! [SV148: $i,SV147: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( SV288 @ SV287 )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( ( SV288 @ SV287 )
= ( SV147 @ SV148 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1122,plain,
! [SV243: $i,SV244: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( ( SV288 @ SV287 )
= ( SV244 @ SV243 ) )
= $false )
| ( ( SV288 @ SV287 )
= $true )
| ( ( SV244 @ SV243 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1118]) ).
thf(1126,plain,
! [SV56: $i,SV57: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( ( SV288 @ SV287 )
= ( SV57 @ SV56 ) )
= $false )
| ( ( SV57 @ SV56 )
= $true )
| ( ( SV288 @ SV287 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1119]) ).
thf(1128,plain,
! [SV148: $i,SV147: $i > $o,SV287: $i,SV288: $i > $o] :
( ( ( ( SV288 @ SV287 )
= ( SV147 @ SV148 ) )
= $false )
| ( ( SV147 @ SV148 )
= $true )
| ( ( SV288 @ SV287 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1120]) ).
thf(1156,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,1128,1126,1122,1091,1072,1070,1046,1045,1044,1043,1042,1039,1038,1029,1027,957,955,953,951,934,933,930,929,901,900,899,898,897,892,890,835,834,831,830,806,802,801,800,799,798,796,794,792,765,763,762,760,756,753,752,749,745,742,740,737,679,678,675,674,665,664,661,660,570,568,566,564,562,560,558,556,516,515,514,513,512,511,509,507,505,478,476,475,473,469,466,465,462,458,455,453,450,399,398,392,391,382,381,378,377,299,297,295,293,291,289,287,285,275,273,271,269,267,265,263,261,188,181,178,175,172,163,162,157,156,151,28]) ).
thf(1157,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV181^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n004.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 : Tue Jun 28 16:59:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 200
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).eprover: CPU time limit exceeded, terminating
% 25.18/25.41 ...eprover: CPU time limit exceeded, terminating
% 50.46/50.70 ..................................
% 50.82/51.06
% 50.82/51.06 Prim_subst applied to clause
% 50.82/51.06
% 50.82/51.06 805:[ 0:<SV57@SV56 = $true>-w(1)-i() 1:<SV55@SV56 = $false>-w(1)-i() 2:<(sK1_SY0@SV55) = (sK1_SY0@SV57) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 39)-o(AXIOM)-fv([ SV55 SV56 SV57 ])
% 50.82/51.11
% 50.82/51.11 Prim_subst applied to clause
% 50.82/51.11
% 50.82/51.11 805:[ 0:<SV57@SV56 = $true>-w(1)-i() 1:<SV55@SV56 = $false>-w(1)-i() 2:<(sK1_SY0@SV55) = (sK1_SY0@SV57) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 39)-o(AXIOM)-fv([ SV55 SV56 SV57 ])
% 50.97/51.20 ..................
% 75.00/75.25 (rf:0,axioms:0,ps:2,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:2,loop_count:0,foatp_calls:0,translation:fof_full)..eprover: CPU time limit exceeded, terminating
% 100.06/100.28 ..eprover: CPU time limit exceeded, terminating
% 125.21/125.48 ..................................
% 125.69/126.00
% 125.69/126.00 Prim_subst applied to clause
% 125.69/126.00
% 125.69/126.00 806:[ 0:<SV57@SV56 = $true>-w(1)-i() 1:<SV55@SV56 = $false>-w(1)-i() 2:<(sK1_Xh@SV55) = (sK1_Xh@SV57) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 40)-o(AXIOM)-fv([ SV55 SV56 SV57 ])
% 125.76/126.02
% 125.76/126.02 Prim_subst applied to clause
% 125.76/126.02
% 125.76/126.02 806:[ 0:<SV57@SV56 = $true>-w(1)-i() 1:<SV55@SV56 = $false>-w(1)-i() 2:<(sK1_Xh@SV55) = (sK1_Xh@SV57) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 40)-o(AXIOM)-fv([ SV55 SV56 SV57 ])
% 125.76/126.05 ...
% 126.07/126.34
% 126.07/126.34 Prim_subst applied to clause
% 126.07/126.34
% 126.07/126.34 901:[ 0:<SV149@SV148 = $true>-w(1)-i() 1:<SV147@SV148 = $false>-w(1)-i() 2:<(sK1_Xh@SV149) = (sK1_Xh@SV147) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 41)-o(AXIOM)-fv([ SV147 SV148 SV149 ])
% 126.07/126.37
% 126.07/126.37 Prim_subst applied to clause
% 126.07/126.37
% 126.07/126.37 901:[ 0:<SV149@SV148 = $true>-w(1)-i() 1:<SV147@SV148 = $false>-w(1)-i() 2:<(sK1_Xh@SV149) = (sK1_Xh@SV147) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 41)-o(AXIOM)-fv([ SV147 SV148 SV149 ])
% 126.13/126.39 ....
% 126.59/126.87
% 126.59/126.87 Prim_subst applied to clause
% 126.59/126.87
% 126.59/126.87 1046:[ 0:<~ (SV244@SV243) = $false>-w(1)-i() 1:<SV244@SV243 = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 144)-o(AXIOM)-fv([ SV243 SV244 ])
% 126.88/127.20 .
% 126.88/127.20
% 126.88/127.20 Prim_subst applied to clause
% 126.88/127.20
% 126.88/127.20 1091:[ 0:<~ (SV288@SV287) = $true>-w(1)-i() 1:<SV288@SV287 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 145)-o(AXIOM)-fv([ SV287 SV288 ])
% 127.40/127.75
% 127.40/127.75 ********************************
% 127.40/127.75 * All subproblems solved! *
% 127.40/127.75 ********************************
% 127.40/127.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,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:22,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1156,loop_count:10,foatp_calls:3,translation:fof_full)
% 127.74/127.99
% 127.74/127.99 %**** Beginning of derivation protocol ****
% 127.74/127.99 % SZS output start CNFRefutation
% See solution above
% 127.74/127.99
% 127.74/127.99 %**** End of derivation protocol ****
% 127.74/127.99 %**** no. of clauses in derivation: 670 ****
% 127.74/127.99 %**** clause counter: 1156 ****
% 127.74/127.99
% 127.74/127.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:2,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:22,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1156,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------