%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO241^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:54 AM UTC 2026
% Result : Theorem 166.97s 30.77s
% Output : CNFRefutation 166.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 1
% Syntax : Number of formulae : 323 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 2769 (1508 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 4929 (1750 ~; 909 |; 16 &;2245 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 609 ( 609 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 1001 ( 117 ^; 870 !; 14 ?;1001 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_SY27,type,
sK10_SY27: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK11_E,type,
sK11_E: $i ).
thf(tp_sK1_Xh,type,
sK1_Xh: ( $i > $o ) > $i ).
thf(tp_sK2_SY8,type,
sK2_SY8: $i > $o ).
thf(tp_sK3_SY24,type,
sK3_SY24: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK4_SY25,type,
sK4_SY25: $i > $i > $o ).
thf(tp_sK5_SY26,type,
sK5_SY26: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK6_SY27,type,
sK6_SY27: $i > $i > $o ).
thf(tp_sK7_SY24,type,
sK7_SY24: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(tp_sK8_SY25,type,
sK8_SY25: ( $i > $o ) > $i > $i > $o ).
thf(tp_sK9_SY26,type,
sK9_SY26: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(1,conjecture,
! [Xh: ( $i > $o ) > $i] :
( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
=> ~ ? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( ( Xh
@ ^ [Xz: $i] :
? [Xt0: $i > $o] :
( ~ ( Xt0 @ ( Xh @ Xt0 ) )
& ( Xz
= ( Xh @ Xt0 ) ) ) )
= ( Xh @ Xt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM143_EXPAND) ).
thf(2,negated_conjecture,
( ( ! [Xh: ( $i > $o ) > $i] :
( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
=> ~ ? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( ( Xh
@ ^ [Xz: $i] :
? [Xt0: $i > $o] :
( ~ ( Xt0 @ ( Xh @ Xt0 ) )
& ( Xz
= ( Xh @ Xt0 ) ) ) )
= ( Xh @ Xt ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xh: ( $i > $o ) > $i] :
( ! [Xp: $i > $o,Xq: $i > $o] :
( ( ( Xh @ Xp )
= ( Xh @ Xq ) )
=> ( Xp = Xq ) )
=> ~ ? [Xt: $i > $o] :
( ~ ( Xt @ ( Xh @ Xt ) )
& ( ( Xh
@ ^ [Xz: $i] :
? [Xt0: $i > $o] :
( ~ ( Xt0 @ ( Xh @ Xt0 ) )
& ( Xz
= ( Xh @ Xt0 ) ) ) )
= ( Xh @ Xt ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY6: $i > $o,SY7: $i > $o] :
( ( ( sK1_Xh @ SY6 )
= ( sK1_Xh @ SY7 ) )
=> ( SY6 = SY7 ) )
=> ~ ? [SY8: $i > $o] :
( ~ ( SY8 @ ( sK1_Xh @ SY8 ) )
& ( ( sK1_Xh
@ ^ [SY9: $i] :
? [SY10: $i > $o] :
( ~ ( SY10 @ ( sK1_Xh @ SY10 ) )
& ( SY9
= ( sK1_Xh @ SY10 ) ) ) )
= ( sK1_Xh @ SY8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY6: $i > $o,SY7: $i > $o] :
( ( ( sK1_Xh @ SY6 )
= ( sK1_Xh @ SY7 ) )
=> ( SY6 = SY7 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ? [SY8: $i > $o] :
( ~ ( SY8 @ ( sK1_Xh @ SY8 ) )
& ( ( sK1_Xh
@ ^ [SY9: $i] :
? [SY10: $i > $o] :
( ~ ( SY10 @ ( sK1_Xh @ SY10 ) )
& ( SY9
= ( sK1_Xh @ SY10 ) ) ) )
= ( sK1_Xh @ SY8 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ? [SY8: $i > $o] :
( ~ ( SY8 @ ( sK1_Xh @ SY8 ) )
& ( ( sK1_Xh
@ ^ [SY9: $i] :
? [SY10: $i > $o] :
( ~ ( SY10 @ ( sK1_Xh @ SY10 ) )
& ( SY9
= ( sK1_Xh @ SY10 ) ) ) )
= ( sK1_Xh @ SY8 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ( sK2_SY8 @ ( sK1_Xh @ sK2_SY8 ) )
& ( ( sK1_Xh
@ ^ [SY9: $i] :
? [SY10: $i > $o] :
( ~ ( SY10 @ ( sK1_Xh @ SY10 ) )
& ( SY9
= ( sK1_Xh @ SY10 ) ) ) )
= ( sK1_Xh @ sK2_SY8 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY6: $i > $o,SY7: $i > $o] :
( ( ( sK1_Xh @ SY6 )
!= ( sK1_Xh @ SY7 ) )
| ( SY6 = SY7 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(10,plain,
( ( ! [SY6: $i > $o,SY7: $i > $o] :
( ( ( sK1_Xh @ SY6 )
!= ( sK1_Xh @ SY7 ) )
| ( SY6 = SY7 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( ~ ( sK2_SY8 @ ( sK1_Xh @ sK2_SY8 ) )
& ( ( sK1_Xh
@ ^ [SY9: $i] :
? [SY10: $i > $o] :
( ~ ( SY10 @ ( sK1_Xh @ SY10 ) )
& ( SY9
= ( sK1_Xh @ SY10 ) ) ) )
= ( sK1_Xh @ sK2_SY8 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( ~ ~ ( sK2_SY8 @ ( sK1_Xh @ sK2_SY8 ) )
| ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
!= ( sK1_Xh @ sK2_SY8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: $i > $o] :
( ( ! [SY13: $i > $o] :
( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SY13 ) )
| ( SV1 = SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(14,plain,
( ( ~ ~ ( sK2_SY8 @ ( sK1_Xh @ sK2_SY8 ) )
| ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
!= ( sK1_Xh @ sK2_SY8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SV2 ) )
| ( SV1 = SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( sK2_SY8 @ ( sK1_Xh @ sK2_SY8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
!= ( sK1_Xh @ sK2_SY8 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
!= ( sK1_Xh @ SV2 ) )
= $true )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( sK2_SY8 @ ( sK1_Xh @ sK2_SY8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ sK2_SY8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false )
| ( ( SV1 = SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( sK2_SY8 @ ( sK1_Xh @ sK2_SY8 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,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)],[21]) ).
thf(24,plain,
! [SV2: $i > $o,SV1: $i > $o] :
( ( ( SV1 = SV2 )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[21]) ).
thf(25,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)],[23]) ).
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)],[25]) ).
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)],[25]) ).
thf(28,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(29,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)],[28]) ).
thf(30,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)],[29]) ).
thf(31,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)],[29]) ).
thf(32,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)],[30]) ).
thf(33,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)],[31]) ).
thf(35,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)],[32]) ).
thf(36,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)],[33]) ).
thf(39,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)],[35]) ).
thf(40,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)],[36]) ).
thf(46,plain,
! [SV8: $i > $o,SV1: $i > $o] :
( ( ( SV1
= ( ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[24:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(49,plain,
! [SV2: $i > $o,SV12: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= SV2 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[24:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(52,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(55,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(64,plain,
! [SV1: $i > $o,SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $true )
| ( ( SV1 @ SV4 )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(67,plain,
! [SV12: $i > $o,SV4: $i,SV2: $i > $o] :
( ( ( SV2 @ SV4 )
= $true )
| ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(70,plain,
! [SV8: $i > $o,SV4: $i,SV1: $i > $o] :
( ( ( SV1 @ SV4 )
= $true )
| ( ( ~ ( SV8 @ SV4 ) )
= $false )
| ( ( ( sK1_Xh @ SV1 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV2,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(73,plain,
! [SV2: $i > $o,SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV2 @ SV4 )
= $false )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[40:[bind(SV1,$thf( ^ [SV11: $i] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(95,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)],[46]) ).
thf(98,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)],[49]) ).
thf(103,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)],[95]) ).
thf(104,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)],[95]) ).
thf(109,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)],[98]) ).
thf(110,plain,
! [SV2: $i > $o,SV12: $i > $o,SV21: $i] :
( ( ( ~ ( SV12 @ SV21 ) )
= $false )
| ( ( SV2 @ SV21 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[98]) ).
thf(115,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)],[52]) ).
thf(116,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)],[52]) ).
thf(121,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)],[55]) ).
thf(122,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)],[55]) ).
thf(123,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)],[104]) ).
thf(124,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)],[103]) ).
thf(125,plain,
! [SV2: $i > $o,SV21: $i,SV12: $i > $o] :
( ( ( SV12 @ SV21 )
= $true )
| ( ( SV2 @ SV21 )
= $true )
| ( ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ( SV12 @ SX0 ) )
= ( sK1_Xh @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(126,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)],[109]) ).
thf(127,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)],[116]) ).
thf(128,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)],[115]) ).
thf(129,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)],[122]) ).
thf(130,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)],[121]) ).
thf(132,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)],[64]) ).
thf(133,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)],[67]) ).
thf(134,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)],[70]) ).
thf(135,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)],[73]) ).
thf(143,plain,
! [SV18: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV18 ) )
= $false )
| ( ( SV8 @ SV18 )
= $false ) ),
inference(extuni,[status(esa)],[123:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(144,plain,
! [SV18: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV18 ) )
= $true )
| ( ( SV8 @ SV18 )
= $true ) ),
inference(extuni,[status(esa)],[124:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(149,plain,
! [SV21: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV21 ) )
= $true )
| ( ( SV12 @ SV21 )
= $true ) ),
inference(extuni,[status(esa)],[125:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(150,plain,
! [SV21: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV21 ) )
= $false )
| ( ( SV12 @ SV21 )
= $false ) ),
inference(extuni,[status(esa)],[126:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(155,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $false )
| ( ( SV8 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[127:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(156,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $true )
| ( ( SV8 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[128:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(161,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV12 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[129:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(162,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV12 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[130:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(171,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $false )
| ( ( SV8 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[132:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(174,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $true )
| ( ( SV12 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[133:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( SV12 @ SX0 ) ))]]) ).
thf(177,plain,
! [SV4: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV4 ) )
= $true )
| ( ( SV8 @ SV4 )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV1,$thf( ^ [SX0: $i] : ~ ( SV8 @ SX0 ) ))]]) ).
thf(180,plain,
! [SV4: $i,SV12: $i > $o] :
( ( ( ~ ( SV12 @ SV4 ) )
= $false )
| ( ( SV12 @ SV4 )
= $false ) ),
inference(extuni,[status(esa)],[135:[bind(SV2,$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)],[24]) ).
thf(192,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ SV22 ) )
= ( ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= ( sK1_Xh @ sK2_SY8 ) ) )
= $false )
| ( ( SV23 = SV22 )
= $true ) ),
inference(res,[status(thm)],[188,20]) ).
thf(212,plain,
( ( sK2_SY8
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true ),
inference(extuni,[status(esa)],[192:[bind(SV23,$thf( sK2_SY8 )),bind(SV22,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(213,plain,
! [SV23: $i > $o] :
( ( ( SV23
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extuni,[status(esa)],[192:[bind(SV22,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(214,plain,
! [SV22: $i > $o] :
( ( ( sK2_SY8 = SV22 )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[192:[bind(SV23,$thf( sK2_SY8 ))]]) ).
thf(215,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[192]) ).
thf(216,plain,
( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= sK2_SY8 )
= $true ),
inference(extuni,[status(esa)],[192:[bind(SV22,$thf( sK2_SY8 )),bind(SV23,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(217,plain,
! [SV22: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= SV22 )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extuni,[status(esa)],[192:[bind(SV23,$thf( ^ [SX0: $i] : ~ ( ! [SX1: $i > $o] : ~ ( ~ ( ~ ( ~ ( SX1 @ ( sK1_Xh @ SX1 ) ) ) | ( SX0 != ( sK1_Xh @ SX1 ) ) ) ) ) ))]]) ).
thf(218,plain,
! [SV23: $i > $o] :
( ( ( SV23 = sK2_SY8 )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[192:[bind(SV22,$thf( sK2_SY8 ))]]) ).
thf(219,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[192]) ).
thf(226,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( ! [SV26: $i] :
( ( SV23 @ SV26 )
= ( SV22 @ SV26 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(227,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[219]) ).
thf(228,plain,
! [SV23: $i > $o] :
( ( ( ! [SV27: $i] :
( ( SV23 @ SV27 )
= ( sK2_SY8 @ SV27 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[218]) ).
thf(229,plain,
! [SV23: $i > $o] :
( ( ( SV23 = sK2_SY8 )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[218]) ).
thf(230,plain,
! [SV22: $i > $o] :
( ( ( ! [SV28: $i] :
( ( ~ ! [SY20: $i > $o] :
~ ~ ( ~ ~ ( SY20 @ ( sK1_Xh @ SY20 ) )
| ( SV28
!= ( sK1_Xh @ SY20 ) ) ) )
= ( SV22 @ SV28 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[217]) ).
thf(231,plain,
! [SV22: $i > $o] :
( ( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= SV22 )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[217]) ).
thf(232,plain,
( ( ! [SV29: $i] :
( ( ~ ! [SY21: $i > $o] :
~ ~ ( ~ ~ ( SY21 @ ( sK1_Xh @ SY21 ) )
| ( SV29
!= ( sK1_Xh @ SY21 ) ) ) )
= ( sK2_SY8 @ SV29 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[216]) ).
thf(233,plain,
( ( ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) )
= sK2_SY8 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[216]) ).
thf(234,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( ! [SV30: $i] :
( ( SV23 @ SV30 )
= ( SV22 @ SV30 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV22: $i > $o,SV23: $i > $o] :
( ( ( SV23 = SV22 )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[215]) ).
thf(236,plain,
! [SV22: $i > $o] :
( ( ( ! [SV31: $i] :
( ( sK2_SY8 @ SV31 )
= ( SV22 @ SV31 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[214]) ).
thf(237,plain,
! [SV22: $i > $o] :
( ( ( sK2_SY8 = SV22 )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[214]) ).
thf(238,plain,
! [SV23: $i > $o] :
( ( ( ! [SV32: $i] :
( ( SV23 @ SV32 )
= ( ~ ! [SY22: $i > $o] :
~ ~ ( ~ ~ ( SY22 @ ( sK1_Xh @ SY22 ) )
| ( SV32
!= ( sK1_Xh @ SY22 ) ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[213]) ).
thf(239,plain,
! [SV23: $i > $o] :
( ( ( SV23
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[213]) ).
thf(240,plain,
( ( ! [SV33: $i] :
( ( sK2_SY8 @ SV33 )
= ( ~ ! [SY23: $i > $o] :
~ ~ ( ~ ~ ( SY23 @ ( sK1_Xh @ SY23 ) )
| ( SV33
!= ( sK1_Xh @ SY23 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[212]) ).
thf(241,plain,
( ( sK2_SY8
= ( ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[212]) ).
thf(246,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV35 )
= ( SV22 @ SV35 ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(247,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV36 )
= ( sK2_SY8 @ SV36 ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(248,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= ( SV22 @ SV37 ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(249,plain,
! [SV38: $i] :
( ( ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= ( sK2_SY8 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(250,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV39 )
= ( SV22 @ SV39 ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(251,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ( sK2_SY8 @ SV40 )
= ( SV22 @ SV40 ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(252,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV41 )
= ( ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(253,plain,
! [SV42: $i] :
( ( ( sK2_SY8 @ SV42 )
= ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(256,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV35 )
| ( SV22 @ SV35 ) )
| ~ ( ~ ( SV23 @ SV35 )
| ~ ( SV22 @ SV35 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[246]) ).
thf(257,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV35 )
= ( SV22 @ SV35 ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[246]) ).
thf(258,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV36 )
| ( sK2_SY8 @ SV36 ) )
| ~ ( ~ ( SV23 @ SV36 )
| ~ ( sK2_SY8 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[247]) ).
thf(259,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV36 )
= ( sK2_SY8 @ SV36 ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ~ ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ( SV22 @ SV37 ) )
| ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= ( SV22 @ SV37 ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[248]) ).
thf(262,plain,
! [SV38: $i] :
( ( ~ ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ( sK2_SY8 @ SV38 ) )
| ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[249]) ).
thf(263,plain,
! [SV38: $i] :
( ( ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= ( sK2_SY8 @ SV38 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[249]) ).
thf(264,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV39 )
| ( SV22 @ SV39 ) )
| ~ ( ~ ( SV23 @ SV39 )
| ~ ( SV22 @ SV39 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[250]) ).
thf(265,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV39 )
= ( SV22 @ SV39 ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[250]) ).
thf(266,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ~ ( ( sK2_SY8 @ SV40 )
| ( SV22 @ SV40 ) )
| ~ ( ~ ( sK2_SY8 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[251]) ).
thf(267,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ( sK2_SY8 @ SV40 )
= ( SV22 @ SV40 ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[251]) ).
thf(268,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV41 )
| ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
| ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(269,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV41 )
= ( ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(270,plain,
! [SV42: $i] :
( ( ~ ( ( sK2_SY8 @ SV42 )
| ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
| ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(271,plain,
! [SV42: $i] :
( ( ( sK2_SY8 @ SV42 )
= ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[253]) ).
thf(275,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV35 )
| ( SV22 @ SV35 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV35 )
| ~ ( SV22 @ SV35 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(276,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV36 )
| ( sK2_SY8 @ SV36 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( sK2_SY8 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(277,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ~ ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ( SV22 @ SV37 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(278,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ( sK2_SY8 @ SV38 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(279,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV39 )
| ( SV22 @ SV39 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV39 )
| ~ ( SV22 @ SV39 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(280,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ~ ( ( sK2_SY8 @ SV40 )
| ( SV22 @ SV40 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(281,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( ( SV23 @ SV41 )
| ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(282,plain,
! [SV42: $i] :
( ( ( ~ ( ( sK2_SY8 @ SV42 )
| ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(286,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV35 )
| ( SV22 @ SV35 ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV35 )
| ~ ( SV22 @ SV35 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(287,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV36 )
| ( sK2_SY8 @ SV36 ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( sK2_SY8 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(288,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ( SV22 @ SV37 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(289,plain,
! [SV38: $i] :
( ( ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ( sK2_SY8 @ SV38 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(290,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV39 )
| ( SV22 @ SV39 ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV39 )
| ~ ( SV22 @ SV39 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(291,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ( sK2_SY8 @ SV40 )
| ( SV22 @ SV40 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY8 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(292,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV41 )
| ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(293,plain,
! [SV42: $i] :
( ( ( ( sK2_SY8 @ SV42 )
| ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(297,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( SV23 @ SV35 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV35 )
| ~ ( SV22 @ SV35 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(298,plain,
! [SV23: $i > $o,SV35: $i,SV22: $i > $o] :
( ( ( SV22 @ SV35 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV35 )
| ~ ( SV22 @ SV35 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(299,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( SV23 @ SV36 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( sK2_SY8 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(300,plain,
! [SV23: $i > $o,SV36: $i] :
( ( ( sK2_SY8 @ SV36 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV36 )
| ~ ( sK2_SY8 @ SV36 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(301,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(302,plain,
! [SV37: $i,SV22: $i > $o] :
( ( ( SV22 @ SV37 )
= $false )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(303,plain,
! [SV38: $i] :
( ( ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(304,plain,
! [SV38: $i] :
( ( ( sK2_SY8 @ SV38 )
= $false )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(305,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( SV23 @ SV39 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV39 )
| ~ ( SV22 @ SV39 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(306,plain,
! [SV23: $i > $o,SV39: $i,SV22: $i > $o] :
( ( ( SV22 @ SV39 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV39 )
| ~ ( SV22 @ SV39 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(307,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( sK2_SY8 @ SV40 )
= $false )
| ( ( ~ ( ~ ( sK2_SY8 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(308,plain,
! [SV40: $i,SV22: $i > $o] :
( ( ( SV22 @ SV40 )
= $false )
| ( ( ~ ( ~ ( sK2_SY8 @ SV40 )
| ~ ( SV22 @ SV40 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(309,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( SV23 @ SV41 )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(310,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(311,plain,
! [SV42: $i] :
( ( ( sK2_SY8 @ SV42 )
= $false )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(312,plain,
! [SV42: $i] :
( ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(319,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV35 )
| ~ ( SV22 @ SV35 ) )
= $false )
| ( ( SV23 @ SV35 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(320,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV35 )
| ~ ( SV22 @ SV35 ) )
= $false )
| ( ( SV22 @ SV35 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(321,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV36 )
| ~ ( sK2_SY8 @ SV36 ) )
= $false )
| ( ( SV23 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(322,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV36 )
| ~ ( sK2_SY8 @ SV36 ) )
= $false )
| ( ( sK2_SY8 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(323,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(324,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(325,plain,
! [SV38: $i] :
( ( ( ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(326,plain,
! [SV38: $i] :
( ( ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(327,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV39 )
| ~ ( SV22 @ SV39 ) )
= $false )
| ( ( SV23 @ SV39 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(328,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV39 )
| ~ ( SV22 @ SV39 ) )
= $false )
| ( ( SV22 @ SV39 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(329,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ~ ( sK2_SY8 @ SV40 )
| ~ ( SV22 @ SV40 ) )
= $false )
| ( ( sK2_SY8 @ SV40 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(330,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ~ ( sK2_SY8 @ SV40 )
| ~ ( SV22 @ SV40 ) )
= $false )
| ( ( SV22 @ SV40 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(331,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(332,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(333,plain,
! [SV42: $i] :
( ( ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(334,plain,
! [SV42: $i] :
( ( ( ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(342,plain,
! [SV23: $i > $o,SV35: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV35 ) )
= $false )
| ( ( SV23 @ SV35 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(343,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV35 ) )
= $false )
| ( ( SV22 @ SV35 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(346,plain,
! [SV23: $i > $o,SV36: $i] :
( ( ( ~ ( sK2_SY8 @ SV36 ) )
= $false )
| ( ( SV23 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(347,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV36 ) )
= $false )
| ( ( sK2_SY8 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[322]) ).
thf(349,plain,
! [SV22: $i > $o,SV37: $i,SV44: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) )
| ( SV37
!= ( sK1_Xh @ SV44 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(350,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(352,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) )
| ( SV38
!= ( sK1_Xh @ SV45 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(353,plain,
! [SV38: $i] :
( ( ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[326]) ).
thf(356,plain,
! [SV23: $i > $o,SV39: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV39 ) )
= $false )
| ( ( SV23 @ SV39 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(357,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV39 ) )
= $false )
| ( ( SV22 @ SV39 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(360,plain,
! [SV40: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV40 ) )
= $false )
| ( ( sK2_SY8 @ SV40 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(361,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( ~ ( sK2_SY8 @ SV40 ) )
= $false )
| ( ( SV22 @ SV40 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(364,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(365,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) )
| ( SV41
!= ( sK1_Xh @ SV46 ) ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(367,plain,
! [SV42: $i] :
( ( ( ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[333]) ).
thf(368,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) )
| ( SV42
!= ( sK1_Xh @ SV47 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(374,plain,
! [SV23: $i > $o,SV35: $i,SV22: $i > $o] :
( ( ( SV22 @ SV35 )
= $true )
| ( ( SV23 @ SV35 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(375,plain,
! [SV22: $i > $o,SV35: $i,SV23: $i > $o] :
( ( ( SV23 @ SV35 )
= $true )
| ( ( SV22 @ SV35 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(378,plain,
! [SV23: $i > $o,SV36: $i] :
( ( ( sK2_SY8 @ SV36 )
= $true )
| ( ( SV23 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(379,plain,
! [SV36: $i,SV23: $i > $o] :
( ( ( SV23 @ SV36 )
= $true )
| ( ( sK2_SY8 @ SV36 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(381,plain,
! [SV22: $i > $o,SV37: $i,SV44: $i > $o] :
( ( ( ~ ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) )
| ( SV37
!= ( sK1_Xh @ SV44 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(382,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $true )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(384,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) )
| ( SV38
!= ( sK1_Xh @ SV45 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(385,plain,
! [SV38: $i] :
( ( ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $true )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(388,plain,
! [SV23: $i > $o,SV39: $i,SV22: $i > $o] :
( ( ( SV22 @ SV39 )
= $true )
| ( ( SV23 @ SV39 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(389,plain,
! [SV22: $i > $o,SV39: $i,SV23: $i > $o] :
( ( ( SV23 @ SV39 )
= $true )
| ( ( SV22 @ SV39 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(392,plain,
! [SV40: $i,SV22: $i > $o] :
( ( ( SV22 @ SV40 )
= $true )
| ( ( sK2_SY8 @ SV40 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(393,plain,
! [SV22: $i > $o,SV40: $i] :
( ( ( sK2_SY8 @ SV40 )
= $true )
| ( ( SV22 @ SV40 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh
@ ^ [SX0: $i] :
~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( SX1 @ ( sK1_Xh @ SX1 ) )
| ( SX0
!= ( sK1_Xh @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(396,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(397,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) )
| ( SV41
!= ( sK1_Xh @ SV46 ) ) ) )
= $false )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(399,plain,
! [SV42: $i] :
( ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $true )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(400,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) )
| ( SV42
!= ( sK1_Xh @ SV47 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(405,plain,
! [SV22: $i > $o,SV37: $i,SV44: $i > $o] :
( ( ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) )
| ( SV37
!= ( sK1_Xh @ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(406,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(407,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) )
| ( SV38
!= ( sK1_Xh @ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(408,plain,
! [SV38: $i] :
( ( ( ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(409,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(410,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) )
| ( SV41
!= ( sK1_Xh @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(411,plain,
! [SV42: $i] :
( ( ( ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(412,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) )
| ( SV42
!= ( sK1_Xh @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(413,plain,
! [SV22: $i > $o,SV37: $i,SV44: $i > $o] :
( ( ( ~ ~ ( SV44 @ ( sK1_Xh @ SV44 ) ) )
= $true )
| ( ( SV37
!= ( sK1_Xh @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(414,plain,
! [SV37: $i,SV22: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK3_SY24 @ SV22 @ SV37 @ ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) )
| ( SV37
!= ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) ) ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[406]) ).
thf(415,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ~ ( SV45 @ ( sK1_Xh @ SV45 ) ) )
= $true )
| ( ( SV38
!= ( sK1_Xh @ SV45 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(416,plain,
! [SV38: $i] :
( ( ( ~ ~ ( ~ ~ ( sK4_SY25 @ SV38 @ ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[408]) ).
thf(417,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK5_SY26 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[409]) ).
thf(418,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ~ ( SV46 @ ( sK1_Xh @ SV46 ) ) )
= $true )
| ( ( SV41
!= ( sK1_Xh @ SV46 ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(419,plain,
! [SV42: $i] :
( ( ( ~ ~ ( ~ ~ ( sK6_SY27 @ SV42 @ ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) )
| ( SV42
!= ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[411]) ).
thf(420,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ~ ( SV47 @ ( sK1_Xh @ SV47 ) ) )
= $true )
| ( ( SV42
!= ( sK1_Xh @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(421,plain,
! [SV22: $i > $o,SV37: $i,SV44: $i > $o] :
( ( ( ~ ( SV44 @ ( sK1_Xh @ SV44 ) ) )
= $false )
| ( ( SV37
!= ( sK1_Xh @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(422,plain,
! [SV37: $i,SV22: $i > $o] :
( ( ( ~ ( ~ ~ ( sK3_SY24 @ SV22 @ SV37 @ ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) )
| ( SV37
!= ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) ) ) )
= $true )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(423,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ( SV45 @ ( sK1_Xh @ SV45 ) ) )
= $false )
| ( ( SV38
!= ( sK1_Xh @ SV45 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(424,plain,
! [SV38: $i] :
( ( ( ~ ( ~ ~ ( sK4_SY25 @ SV38 @ ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) ) ) )
= $true )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(425,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( ~ ~ ( sK5_SY26 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(426,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( ~ ( SV46 @ ( sK1_Xh @ SV46 ) ) )
= $false )
| ( ( SV41
!= ( sK1_Xh @ SV46 ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(427,plain,
! [SV42: $i] :
( ( ( ~ ( ~ ~ ( sK6_SY27 @ SV42 @ ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) )
| ( SV42
!= ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) ) ) )
= $true )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(428,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ( SV47 @ ( sK1_Xh @ SV47 ) ) )
= $false )
| ( ( SV42
!= ( sK1_Xh @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(429,plain,
! [SV22: $i > $o,SV37: $i,SV44: $i > $o] :
( ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
!= ( sK1_Xh @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(430,plain,
! [SV37: $i,SV22: $i > $o] :
( ( ( ~ ~ ( sK3_SY24 @ SV22 @ SV37 @ ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) )
| ( SV37
!= ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(431,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
!= ( sK1_Xh @ SV45 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(432,plain,
! [SV38: $i] :
( ( ( ~ ~ ( sK4_SY25 @ SV38 @ ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(433,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ~ ( sK5_SY26 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(434,plain,
! [SV23: $i > $o,SV41: $i,SV46: $i > $o] :
( ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
!= ( sK1_Xh @ SV46 ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(435,plain,
! [SV42: $i] :
( ( ( ~ ~ ( sK6_SY27 @ SV42 @ ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) )
| ( SV42
!= ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(436,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
!= ( sK1_Xh @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(437,plain,
! [SV22: $i > $o,SV44: $i > $o,SV37: $i] :
( ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) ) )
= $true )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(438,plain,
! [SV37: $i,SV22: $i > $o] :
( ( ( ~ ~ ( sK3_SY24 @ SV22 @ SV37 @ ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(439,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( SV37
!= ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(440,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(441,plain,
! [SV38: $i] :
( ( ( ~ ~ ( sK4_SY25 @ SV38 @ ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(442,plain,
! [SV38: $i] :
( ( ( SV38
!= ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(443,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ~ ( sK5_SY26 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(444,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( SV41
!= ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[433]) ).
thf(445,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( ~ ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) ) )
= $true )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(446,plain,
! [SV42: $i] :
( ( ( ~ ~ ( sK6_SY27 @ SV42 @ ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(447,plain,
! [SV42: $i] :
( ( ( SV42
!= ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(448,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(449,plain,
! [SV44: $i > $o,SV22: $i > $o,SV37: $i] :
( ( ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) )
| ~ ( SV22 @ SV37 ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(450,plain,
! [SV37: $i,SV22: $i > $o] :
( ( ( ~ ( sK3_SY24 @ SV22 @ SV37 @ ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) ) )
= $true )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(451,plain,
! [SV22: $i > $o,SV37: $i] :
( ( ( SV37
= ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) )
= $true )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(452,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) )
| ~ ( sK2_SY8 @ SV38 ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(453,plain,
! [SV38: $i] :
( ( ( ~ ( sK4_SY25 @ SV38 @ ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) ) )
= $true )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(454,plain,
! [SV38: $i] :
( ( ( SV38
= ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) )
= $true )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(455,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( ~ ( sK5_SY26 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(456,plain,
! [SV23: $i > $o,SV41: $i] :
( ( ( SV41
= ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) )
= $true )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(457,plain,
! [SV46: $i > $o,SV41: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV41 )
| ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(458,plain,
! [SV42: $i] :
( ( ( ~ ( sK6_SY27 @ SV42 @ ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) ) )
= $true )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(459,plain,
! [SV42: $i] :
( ( ( SV42
= ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) )
= $true )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(460,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( ~ ( sK2_SY8 @ SV42 )
| ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(461,plain,
! [SV22: $i > $o,SV44: $i > $o,SV37: $i] :
( ( ( ~ ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(462,plain,
! [SV44: $i > $o,SV37: $i,SV22: $i > $o] :
( ( ( ~ ( SV22 @ SV37 ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[449]) ).
thf(463,plain,
! [SV37: $i,SV22: $i > $o] :
( ( ( sK3_SY24 @ SV22 @ SV37 @ ( sK1_Xh @ ( sK3_SY24 @ SV22 @ SV37 ) ) )
= $false )
| ( ( SV22 @ SV37 )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(464,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( ~ ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(465,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( ~ ( sK2_SY8 @ SV38 ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[452]) ).
thf(466,plain,
! [SV38: $i] :
( ( ( sK4_SY25 @ SV38 @ ( sK1_Xh @ ( sK4_SY25 @ SV38 ) ) )
= $false )
| ( ( sK2_SY8 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(467,plain,
! [SV41: $i,SV23: $i > $o] :
( ( ( sK5_SY26 @ SV23 @ SV41 @ ( sK1_Xh @ ( sK5_SY26 @ SV23 @ SV41 ) ) )
= $false )
| ( ( SV23 @ SV41 )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(468,plain,
! [SV46: $i > $o,SV41: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV41 ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(469,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( ~ ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[457]) ).
thf(470,plain,
! [SV42: $i] :
( ( ( sK6_SY27 @ SV42 @ ( sK1_Xh @ ( sK6_SY27 @ SV42 ) ) )
= $false )
| ( ( sK2_SY8 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(471,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( ~ ( sK2_SY8 @ SV42 ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(472,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( ~ ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(473,plain,
! [SV22: $i > $o,SV44: $i > $o,SV37: $i] :
( ( ( ~ ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(474,plain,
! [SV44: $i > $o,SV37: $i,SV22: $i > $o] :
( ( ( SV22 @ SV37 )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(475,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( ~ ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(476,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( sK2_SY8 @ SV38 )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(477,plain,
! [SV46: $i > $o,SV41: $i,SV23: $i > $o] :
( ( ( SV23 @ SV41 )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(478,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( ~ ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(479,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( sK2_SY8 @ SV42 )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(480,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( ~ ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(481,plain,
! [SV22: $i > $o,SV44: $i > $o,SV37: $i] :
( ( ( ! [SY24: $i > $o] :
~ ~ ( ~ ~ ( SY24 @ ( sK1_Xh @ SY24 ) )
| ( SV37
!= ( sK1_Xh @ SY24 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(482,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( ! [SY25: $i > $o] :
~ ~ ( ~ ~ ( SY25 @ ( sK1_Xh @ SY25 ) )
| ( SV38
!= ( sK1_Xh @ SY25 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(483,plain,
! [SV23: $i > $o,SV46: $i > $o,SV41: $i] :
( ( ( ! [SY26: $i > $o] :
~ ~ ( ~ ~ ( SY26 @ ( sK1_Xh @ SY26 ) )
| ( SV41
!= ( sK1_Xh @ SY26 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(484,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( ! [SY27: $i > $o] :
~ ~ ( ~ ~ ( SY27 @ ( sK1_Xh @ SY27 ) )
| ( SV42
!= ( sK1_Xh @ SY27 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(485,plain,
! [SV37: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK7_SY24 @ SV22 @ SV44 @ SV37 @ ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) )
| ( SV37
!= ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[481]) ).
thf(486,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK8_SY25 @ SV45 @ SV38 @ ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(487,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK9_SY26 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[483]) ).
thf(488,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( sK10_SY27 @ SV47 @ SV42 @ ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) )
| ( SV42
!= ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[484]) ).
thf(489,plain,
! [SV37: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ( ~ ~ ( sK7_SY24 @ SV22 @ SV44 @ SV37 @ ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) )
| ( SV37
!= ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(490,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ( ~ ~ ( sK8_SY25 @ SV45 @ SV38 @ ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(491,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ( ~ ~ ( sK9_SY26 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(492,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ( ~ ~ ( sK10_SY27 @ SV47 @ SV42 @ ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) )
| ( SV42
!= ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(493,plain,
! [SV37: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ~ ( sK7_SY24 @ SV22 @ SV44 @ SV37 @ ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) )
| ( SV37
!= ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(494,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ~ ( sK8_SY25 @ SV45 @ SV38 @ ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) )
| ( SV38
!= ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(495,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ~ ( sK9_SY26 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) )
| ( SV41
!= ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(496,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ~ ( sK10_SY27 @ SV47 @ SV42 @ ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) )
| ( SV42
!= ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(497,plain,
! [SV37: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ~ ( sK7_SY24 @ SV22 @ SV44 @ SV37 @ ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(498,plain,
! [SV44: $i > $o,SV22: $i > $o,SV37: $i] :
( ( ( SV37
!= ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(499,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ~ ( sK8_SY25 @ SV45 @ SV38 @ ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(500,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( SV38
!= ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(501,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ~ ( sK9_SY26 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(502,plain,
! [SV46: $i > $o,SV23: $i > $o,SV41: $i] :
( ( ( SV41
!= ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(503,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ~ ( sK10_SY27 @ SV47 @ SV42 @ ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(504,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( SV42
!= ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(505,plain,
! [SV37: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( ~ ( sK7_SY24 @ SV22 @ SV44 @ SV37 @ ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(506,plain,
! [SV44: $i > $o,SV22: $i > $o,SV37: $i] :
( ( ( SV37
= ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) )
= $true )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(507,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( ~ ( sK8_SY25 @ SV45 @ SV38 @ ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(508,plain,
! [SV45: $i > $o,SV38: $i] :
( ( ( SV38
= ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) )
= $true )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(509,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( ~ ( sK9_SY26 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(510,plain,
! [SV46: $i > $o,SV23: $i > $o,SV41: $i] :
( ( ( SV41
= ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) )
= $true )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(511,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( ~ ( sK10_SY27 @ SV47 @ SV42 @ ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(512,plain,
! [SV47: $i > $o,SV42: $i] :
( ( ( SV42
= ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) )
= $true )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(513,plain,
! [SV37: $i,SV44: $i > $o,SV22: $i > $o] :
( ( ( sK7_SY24 @ SV22 @ SV44 @ SV37 @ ( sK1_Xh @ ( sK7_SY24 @ SV22 @ SV44 @ SV37 ) ) )
= $false )
| ( ( SV44 @ ( sK1_Xh @ SV44 ) )
= $true )
| ( ( SV37
= ( sK1_Xh @ SV44 ) )
= $false )
| ( ( ( sK1_Xh @ SV22 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(514,plain,
! [SV38: $i,SV45: $i > $o] :
( ( ( sK8_SY25 @ SV45 @ SV38 @ ( sK1_Xh @ ( sK8_SY25 @ SV45 @ SV38 ) ) )
= $false )
| ( ( SV45 @ ( sK1_Xh @ SV45 ) )
= $true )
| ( ( SV38
= ( sK1_Xh @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(515,plain,
! [SV41: $i,SV46: $i > $o,SV23: $i > $o] :
( ( ( sK9_SY26 @ SV23 @ SV46 @ SV41 @ ( sK1_Xh @ ( sK9_SY26 @ SV23 @ SV46 @ SV41 ) ) )
= $false )
| ( ( SV46 @ ( sK1_Xh @ SV46 ) )
= $true )
| ( ( SV41
= ( sK1_Xh @ SV46 ) )
= $false )
| ( ( ( sK1_Xh @ SV23 )
= ( sK1_Xh @ sK2_SY8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(516,plain,
! [SV42: $i,SV47: $i > $o] :
( ( ( sK10_SY27 @ SV47 @ SV42 @ ( sK1_Xh @ ( sK10_SY27 @ SV47 @ SV42 ) ) )
= $false )
| ( ( SV47 @ ( sK1_Xh @ SV47 ) )
= $true )
| ( ( SV42
= ( sK1_Xh @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(519,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,516,515,514,513,512,510,508,506,479,477,476,474,470,467,466,463,459,456,454,451,393,392,389,388,379,378,375,374,271,269,267,265,263,261,259,257,241,239,237,235,233,231,229,227,188,180,177,174,171,162,161,156,155,150,149,144,143,40,39,27,22]) ).
thf(520,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO241^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n016.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Oct 6 17:39:19 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 166.97/30.77
% 166.97/30.77 No.of.Axioms: 0
% 166.97/30.77
% 166.97/30.77 Length.of.Defs: 0
% 166.97/30.77
% 166.97/30.77 Contains.Choice.Funs: false
% 166.97/30.77 eprover: CPU time limit exceeded, terminating
% 166.97/30.77 ..eprover: CPU time limit exceeded, terminating
% 166.97/30.77 ......
% 166.97/30.77
% 166.97/30.77 ********************************
% 166.97/30.77 * All subproblems solved! *
% 166.97/30.77 ********************************
% 166.97/30.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:519,loop_count:5,foatp_calls:3,translation:fof_experiment)
% 166.97/30.77
% 166.97/30.77 %**** Beginning of derivation protocol ****
% 166.97/30.77 % SZS output start CNFRefutation
% See solution above
% 166.97/30.77
% 166.97/30.77 %**** End of derivation protocol ****
% 166.97/30.77 %**** no. of clauses in derivation: 323 ****
% 166.97/30.77 %**** clause counter: 519 ****
% 166.97/30.77
% 166.97/30.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:519,loop_count:5,foatp_calls:3,translation:fof_experiment)
%------------------------------------------------------------------------------