TSTP Solution File: SEU945^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU945^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:15:51 EDT 2022
% Result : Theorem 0.77s 0.99s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 197 ( 42 unt; 2 typ; 0 def)
% Number of atoms : 1037 ( 616 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 3229 (1179 ~; 250 |; 2 &;1794 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 308 ( 308 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 1040 ( 718 ^ 318 !; 4 ?;1040 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_Xx,type,
sK1_Xx: ( $i > $i > $o ) > $i ).
thf(tp_sK2_SY3,type,
sK2_SY3: ( $i > $i > $o ) > $i ).
thf(1,conjecture,
? [Xf: $i > $i > $o] :
! [Xx: $i,Xy: $i] :
( ( ( Xf @ Xx )
= ( Xf @ Xy ) )
=> ( Xx = Xy ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM3_pme) ).
thf(2,negated_conjecture,
( ( ? [Xf: $i > $i > $o] :
! [Xx: $i,Xy: $i] :
( ( ( Xf @ Xx )
= ( Xf @ Xy ) )
=> ( Xx = Xy ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [Xf: $i > $i > $o] :
! [Xx: $i,Xy: $i] :
( ( ( Xf @ Xx )
= ( Xf @ Xy ) )
=> ( Xx = Xy ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [Xf: $i > $i > $o] :
! [Xx: $i,Xy: $i] :
( ( ( Xf @ Xx )
= ( Xf @ Xy ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xf: $i > $i > $o] :
( ( ( Xf @ ( sK1_Xx @ Xf ) )
= ( Xf @ ( sK2_SY3 @ Xf ) ) )
& ( ( sK1_Xx @ Xf )
!= ( sK2_SY3 @ Xf ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [Xf: $i > $i > $o] :
( ( ( Xf @ ( sK1_Xx @ Xf ) )
= ( Xf @ ( sK2_SY3 @ Xf ) ) )
& ( ( sK1_Xx @ Xf )
!= ( sK2_SY3 @ Xf ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: $i > $i > $o] :
~ ( ( ( SX0 @ ( sK1_Xx @ SX0 ) )
!= ( SX0 @ ( sK2_SY3 @ SX0 ) ) )
| ~ ( ( ( sK1_Xx @ SX0 )
!= ( sK2_SY3 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
!= ( SV1 @ ( sK2_SY3 @ SV1 ) ) )
| ~ ( ( ( sK1_Xx @ SV1 )
!= ( sK2_SY3 @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
!= ( SV1 @ ( sK2_SY3 @ SV1 ) ) )
| ~ ( ( ( sK1_Xx @ SV1 )
!= ( sK2_SY3 @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
!= ( SV1 @ ( sK2_SY3 @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( ( ( sK1_Xx @ SV1 )
!= ( sK2_SY3 @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= ( SV1 @ ( sK2_SY3 @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i > $i > $o] :
( ( ( ( sK1_Xx @ SV1 )
!= ( sK2_SY3 @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i > $i > $o] :
( ( ! [SV2: $i] :
( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV2 )
= ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= ( SV1 @ ( sK2_SY3 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV1: $i > $i > $o] :
( ( ( sK1_Xx @ SV1 )
= ( sK2_SY3 @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
| ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $false )
| ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $false )
| ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(23,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $false )
| ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(25,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(36,plain,
! [SV6: $i > $i > $o] :
( ( ( ^ [SX0: $i] :
~ ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SX0 ) )
= ( ^ [SX0: $i] :
~ ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ),
inference(prim_subst,[status(thm)],[15:[bind(SV1,$thf( ^ [SV4: $i] : ^ [SV5: $i] : ~ ( SV6 @ SV4 @ SV5 ) ))]]) ).
thf(37,plain,
( ( ( ^ [SX0: $i] :
( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SX0 ) )
= ( ^ [SX0: $i] :
( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SX0 ) ) )
= $true ),
inference(prim_subst,[status(thm)],[15:[bind(SV1,$thf( ^ [SY10: $i] : ^ [SY11: $i] : ( SY10 != SY11 ) ))]]) ).
thf(38,plain,
( ( ( ^ [SX0: $i] :
( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SX0 ) )
= ( ^ [SX0: $i] :
( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SX0 ) ) )
= $true ),
inference(prim_subst,[status(thm)],[15:[bind(SV1,$thf( ^ [SV12: $i] : ^ [SV11: $i] : ( SV12 = SV11 ) ))]]) ).
thf(46,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) ) )
= $true ),
inference(prim_subst,[status(thm)],[19:[bind(SV1,$thf( ^ [SV4: $i] : ^ [SV5: $i] : ~ ( SV6 @ SV4 @ SV5 ) ))]]) ).
thf(47,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) ) )
= $true ),
inference(prim_subst,[status(thm)],[19:[bind(SV1,$thf( ^ [SY10: $i] : ^ [SY11: $i] : ( SY10 != SY11 ) ))]]) ).
thf(48,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 ) )
= $true ),
inference(prim_subst,[status(thm)],[19:[bind(SV1,$thf( ^ [SV12: $i] : ^ [SV11: $i] : ( SV12 = SV11 ) ))]]) ).
thf(56,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[31:[bind(SV1,$thf( ^ [SV4: $i] : ^ [SV5: $i] : ~ ( SV6 @ SV4 @ SV5 ) ))]]) ).
thf(57,plain,
! [SV3: $i] :
( ( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $true )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[31:[bind(SV1,$thf( ^ [SY10: $i] : ^ [SY11: $i] : ( SY10 != SY11 ) ))]]) ).
thf(58,plain,
! [SV3: $i] :
( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[31:[bind(SV1,$thf( ^ [SV12: $i] : ^ [SV11: $i] : ( SV12 = SV11 ) ))]]) ).
thf(61,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV1,$thf( ^ [SV4: $i] : ^ [SV5: $i] : ~ ( SV6 @ SV4 @ SV5 ) ))]]) ).
thf(62,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $true )
| ( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV1,$thf( ^ [SY10: $i] : ^ [SY11: $i] : ( SY10 != SY11 ) ))]]) ).
thf(63,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $true )
| ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $false ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV1,$thf( ^ [SV12: $i] : ^ [SV11: $i] : ( SV12 = SV11 ) ))]]) ).
thf(70,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true )
| ( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[31]) ).
thf(71,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true )
| ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= ( ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[32]) ).
thf(73,plain,
! [SV1: $i > $i > $o,SV13: $i] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV13 )
= ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV13 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[15]) ).
thf(74,plain,
! [SV1: $i > $i > $o,SV13: $i] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV13 )
= $true )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV13 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[73]) ).
thf(75,plain,
! [SV1: $i > $i > $o,SV13: $i] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV13 )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV13 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[19]) ).
thf(77,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[19]) ).
thf(80,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) )
| ~ ( ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[70]) ).
thf(81,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[70]) ).
thf(82,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
| ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[71]) ).
thf(83,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= ( ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[71]) ).
thf(88,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(90,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ~ ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(96,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) )
= $true )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(98,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
| ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(104,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true )
| ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 ) )
= $true )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true )
| ( ( ~ ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(136,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[81:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV68 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(139,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[81:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( SV63 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(140,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[81:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( SV58 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(143,plain,
! [SV3: $i,SV53: $i > $i > $o] :
( ( ( ~ ~ ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV53
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[81:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( SV53 @ SX0 @ SX1 ) ) ))]]) ).
thf(144,plain,
! [SV3: $i,SV48: $i > $i > $o] :
( ( ( ~ ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV48
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[81:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV48 @ SX0 @ SX1 ) ))]]) ).
thf(146,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[83:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( ~ ( SV98 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(149,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( ~ ( SV93 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(150,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[83:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( ~ ( SV88 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(153,plain,
! [SV3: $i,SV83: $i > $i > $o] :
( ( ( ~ ~ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV83
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( ~ ( SV83 @ SX0 @ SX1 ) ) ))]]) ).
thf(154,plain,
! [SV3: $i,SV78: $i > $i > $o] :
( ( ( ~ ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV78
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[83:[bind(SV1,$thf( ^ [SX0: $i] : ^ [SX1: $i] : ~ ( SV78 @ SX0 @ SX1 ) ))]]) ).
thf(177,plain,
! [SV3: $i,SV48: $i > $i > $o] :
( ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV48
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(178,plain,
! [SV3: $i,SV53: $i > $i > $o] :
( ( ( ~ ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV53
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(181,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( ~ ~ ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(182,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(185,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(187,plain,
! [SV3: $i,SV78: $i > $i > $o] :
( ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV78
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(188,plain,
! [SV3: $i,SV83: $i > $i > $o] :
( ( ( ~ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV83
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(191,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( ~ ~ ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(192,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(195,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( ~ ~ ~ ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(217,plain,
! [SV3: $i,SV48: $i > $i > $o] :
( ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ~ ( SV48
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(218,plain,
! [SV3: $i,SV53: $i > $i > $o] :
( ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV53
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(221,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(222,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( ~ ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(225,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(227,plain,
! [SV3: $i,SV78: $i > $i > $o] :
( ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ~ ( SV78
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(228,plain,
! [SV3: $i,SV83: $i > $i > $o] :
( ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV83
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(231,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( ~ ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(232,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( ~ ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(235,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( ~ ~ ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(257,plain,
! [SV3: $i,SV48: $i > $i > $o] :
( ( ( ~ ( SV48
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(258,plain,
! [SV3: $i,SV53: $i > $i > $o] :
( ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ~ ( SV53
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(261,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(262,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(265,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( ~ ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(267,plain,
! [SV3: $i,SV78: $i > $i > $o] :
( ( ( ~ ( SV78
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(268,plain,
! [SV3: $i,SV83: $i > $i > $o] :
( ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ~ ( SV83
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(271,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(272,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(275,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( ~ ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(297,plain,
! [SV3: $i,SV48: $i > $i > $o] :
( ( ( SV48
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(298,plain,
! [SV3: $i,SV53: $i > $i > $o] :
( ( ( ~ ( SV53
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(301,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ~ ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(302,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(305,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(307,plain,
! [SV3: $i,SV78: $i > $i > $o] :
( ( ( SV78
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(308,plain,
! [SV3: $i,SV83: $i > $i > $o] :
( ( ( ~ ( SV83
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(311,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ~ ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(312,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ~ ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(315,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(334,plain,
! [SV3: $i,SV53: $i > $i > $o] :
( ( ( SV53
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(337,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( ~ ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(338,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ~ ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(341,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(342,plain,
! [SV3: $i,SV83: $i > $i > $o] :
( ( ( SV83
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(345,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( ~ ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(346,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ~ ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(349,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(365,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(366,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( ~ ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(369,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(371,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(372,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( ~ ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(375,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(386,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(389,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( ~ ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(390,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(393,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( ~ ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(401,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(403,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(408,plain,
! [SV6: $i > $i > $o,SV136: $i] :
( ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) )
= ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[36]) ).
thf(409,plain,
! [SV137: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) )
= ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(410,plain,
! [SV138: $i] :
( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SV138 )
= ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SV138 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[38]) ).
thf(415,plain,
! [SV6: $i > $i > $o,SV136: $i] :
( ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) )
= $true )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(416,plain,
! [SV6: $i > $i > $o,SV136: $i] :
( ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) )
= $false )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[408]) ).
thf(417,plain,
! [SV137: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) )
= $true )
| ( ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[409]) ).
thf(418,plain,
! [SV137: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) )
= $false )
| ( ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[409]) ).
thf(419,plain,
! [SV138: $i] :
( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SV138 )
= $true )
| ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SV138 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[410]) ).
thf(420,plain,
! [SV138: $i] :
( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SV138 )
= $false )
| ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 = SX2 ) )
= SV138 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[410]) ).
thf(425,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(426,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[46]) ).
thf(427,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $true )
| ( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(428,plain,
! [SV3: $i] :
( ( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $false )
| ( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[47]) ).
thf(429,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $true )
| ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[48]) ).
thf(430,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $false )
| ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= SV3 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[48]) ).
thf(431,plain,
! [SV136: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 )
= $true )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(432,plain,
! [SV136: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 )
= $false )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(433,plain,
! [SV137: $i] :
( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
= SV137 )
= $true )
| ( ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(434,plain,
! [SV137: $i] :
( ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
= SV137 )
= $false )
| ( ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
!= SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(435,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(436,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(437,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $true )
| ( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(438,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $false )
| ( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(441,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(442,plain,
! [SV3: $i] :
( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $false )
| ( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(443,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( ~ ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(444,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $false )
| ( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
!= SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(447,plain,
! [SV136: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 )
= $false )
| ( ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(448,plain,
! [SV136: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 )
= $true )
| ( ( SV6
@ ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] :
~ ( SV6 @ SX1 @ SX2 ) )
@ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(449,plain,
! [SV137: $i] :
( ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
= SV137 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
= SV137 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(450,plain,
! [SV137: $i] :
( ( ( ( sK2_SY3
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
= SV137 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX1: $i,SX2: $i] : ( SX1 != SX2 ) )
= SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(451,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(452,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(453,plain,
! [SV3: $i] :
( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(454,plain,
! [SV3: $i] :
( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(457,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(458,plain,
! [SV3: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $true )
| ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(459,plain,
! [SV3: $i,SV6: $i > $i > $o] :
( ( ( SV6
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV6
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV6 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(460,plain,
! [SV3: $i] :
( ( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(463,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[449:[bind(SV137,$thf( sK2_SY3 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(464,plain,
( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[450:[bind(SV137,$thf( sK1_Xx @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(465,plain,
( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[420:[bind(SV138,$thf( sK1_Xx @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(466,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[419:[bind(SV138,$thf( sK2_SY3 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(467,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[453:[bind(SV3,$thf( sK2_SY3 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(468,plain,
( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[454:[bind(SV3,$thf( sK1_Xx @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(469,plain,
( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[430:[bind(SV3,$thf( sK1_Xx @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(470,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[429:[bind(SV3,$thf( sK2_SY3 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(473,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[458:[bind(SV3,$thf( sK2_SY3 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(474,plain,
( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[58:[bind(SV3,$thf( sK1_Xx @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(475,plain,
( ( ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 != SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[460:[bind(SV3,$thf( sK1_Xx @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 != SX1 ) ))]]) ).
thf(476,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $true ),
inference(extuni,[status(esa)],[63:[bind(SV3,$thf( sK2_SY3 @ ^ [SX0: $i] : ^ [SX1: $i] : ( SX0 = SX1 ) ))]]) ).
thf(479,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $false )
| ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $true ) ),
inference(sim,[status(thm)],[112]) ).
thf(480,plain,
! [SV3: $i,SV48: $i > $i > $o] :
( ( ( SV48
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV48
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV48 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[297]) ).
thf(481,plain,
! [SV3: $i,SV53: $i > $i > $o] :
( ( ( SV53
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV53
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV53 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(sim,[status(thm)],[334]) ).
thf(482,plain,
! [SV3: $i,SV58: $i > $i > $o] :
( ( ( SV58
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV58
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV58 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[365]) ).
thf(483,plain,
! [SV3: $i,SV63: $i > $i > $o] :
( ( ( SV63
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV63
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV63 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(sim,[status(thm)],[386]) ).
thf(484,plain,
! [SV3: $i,SV68: $i > $i > $o] :
( ( ( SV68
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV68
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV68 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[401]) ).
thf(485,plain,
! [SV3: $i,SV1: $i > $i > $o] :
( ( ( SV1 @ ( sK2_SY3 @ SV1 ) @ SV3 )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) @ SV3 )
= $true ) ),
inference(sim,[status(thm)],[114]) ).
thf(486,plain,
! [SV3: $i,SV78: $i > $i > $o] :
( ( ( SV78
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV78
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ( SV78 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[307]) ).
thf(487,plain,
! [SV3: $i,SV83: $i > $i > $o] :
( ( ( SV83
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV83
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV83 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(sim,[status(thm)],[342]) ).
thf(488,plain,
! [SV3: $i,SV88: $i > $i > $o] :
( ( ( SV88
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV88
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ( SV88 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[371]) ).
thf(489,plain,
! [SV3: $i,SV93: $i > $i > $o] :
( ( ( SV93
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV93
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ( SV93 @ SX0 @ SX1 ) )
@ SV3 )
= $true ) ),
inference(sim,[status(thm)],[390]) ).
thf(490,plain,
! [SV3: $i,SV98: $i > $i > $o] :
( ( ( SV98
@ ( sK2_SY3
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV98
@ ( sK1_Xx
@ ^ [SX0: $i,SX1: $i] :
~ ~ ~ ~ ~ ( SV98 @ SX0 @ SX1 ) )
@ SV3 )
= $false ) ),
inference(sim,[status(thm)],[403]) ).
thf(491,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,490,489,488,487,486,485,484,483,482,481,480,479,476,475,474,473,470,469,468,467,466,465,464,463,459,457,452,451,448,447,77,76,75,74,32,31,19,16]) ).
thf(492,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU945^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 00:03:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.77/0.99
% 0.77/0.99 ********************************
% 0.77/0.99 * All subproblems solved! *
% 0.77/0.99 ********************************
% 0.77/0.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:491,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.84/1.00
% 0.84/1.00 %**** Beginning of derivation protocol ****
% 0.84/1.00 % SZS output start CNFRefutation
% See solution above
% 0.84/1.01
% 0.84/1.01 %**** End of derivation protocol ****
% 0.84/1.01 %**** no. of clauses in derivation: 195 ****
% 0.84/1.01 %**** clause counter: 491 ****
% 0.84/1.01
% 0.84/1.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:491,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------