TSTP Solution File: SEV410^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV410^5 : 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 17:36:35 EDT 2022
% Result : Theorem 35.71s 35.99s
% Output : CNFRefutation 35.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 32
% Syntax : Number of formulae : 207 ( 23 unt; 31 typ; 0 def)
% Number of atoms : 2206 ( 536 equ; 0 cnn)
% Maximal formula atoms : 5 ( 12 avg)
% Number of connectives : 4908 ( 722 ~; 617 |; 7 &;3554 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 470 ( 470 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 10 con; 0-2 aty)
% Number of variables : 1332 (1134 ^ 193 !; 5 ?;1332 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cA,type,
cA: $i > $o ).
thf(tp_cB,type,
cB: $i > $o ).
thf(tp_cP,type,
cP: ( $i > $o ) > $o ).
thf(tp_sK10_E,type,
sK10_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK11_E,type,
sK11_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK12_E,type,
sK12_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK13_E,type,
sK13_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK14_E,type,
sK14_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK15_E,type,
sK15_E: $i ).
thf(tp_sK16_E,type,
sK16_E: $i ).
thf(tp_sK17_E,type,
sK17_E: $i ).
thf(tp_sK18_E,type,
sK18_E: $i ).
thf(tp_sK19_E,type,
sK19_E: ( $i > $o ) > $i ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( $i > $o ) > $i ).
thf(tp_sK20_E,type,
sK20_E: ( $i > $i > $o ) > $i ).
thf(tp_sK21_E,type,
sK21_E: ( $i > $i > $i > $o ) > $i ).
thf(tp_sK22_E,type,
sK22_E: ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK23_E,type,
sK23_E: ( $i > $i > $o ) > $i ).
thf(tp_sK24_E,type,
sK24_E: ( $i > $i > $i > $o ) > $i ).
thf(tp_sK25_E,type,
sK25_E: $i ).
thf(tp_sK26_E,type,
sK26_E: $i ).
thf(tp_sK27_E,type,
sK27_E: $i ).
thf(tp_sK28_E,type,
sK28_E: $i ).
thf(tp_sK2_E,type,
sK2_E: ( $i > $i > $o ) > $i ).
thf(tp_sK3_E,type,
sK3_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK9_E,type,
sK9_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(1,conjecture,
( ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) )
=> ? [Xu: $i > $o] :
( ( cP @ Xu )
& ! [Xx: $i] :
( ( cA @ Xx )
=> ( Xu @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSV1_pme) ).
thf(2,negated_conjecture,
( ( ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) )
=> ? [Xu: $i > $o] :
( ( cP @ Xu )
& ! [Xx: $i] :
( ( cA @ Xx )
=> ( Xu @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) )
=> ? [Xu: $i > $o] :
( ( cP @ Xu )
& ! [Xx: $i] :
( ( cA @ Xx )
=> ( Xu @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [Xu: $i > $o] :
( ( cP @ Xu )
& ! [Xx: $i] :
( ( cA @ Xx )
=> ( Xu @ Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ? [Xu: $i > $o] :
( ( cP @ Xu )
& ! [Xx: $i] :
( ( cA @ Xx )
=> ( Xu @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [Xu: $i > $o] :
( ( ( cA @ ( sK1_Xx @ Xu ) )
& ~ ( Xu @ ( sK1_Xx @ Xu ) ) )
| ~ ( cP @ Xu ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(9,plain,
( ( ! [Xu: $i > $o] :
( ( ( cA @ ( sK1_Xx @ Xu ) )
& ~ ( Xu @ ( sK1_Xx @ Xu ) ) )
| ~ ( cP @ Xu ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [SX0: $i > $o] :
( ~ ( ~ ( cA @ ( sK1_Xx @ SX0 ) )
| ~ ~ ( SX0 @ ( sK1_Xx @ SX0 ) ) )
| ~ ( cP @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i > $o] :
( ( ~ ( ~ ( cA @ ( sK1_Xx @ SV1 ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( cP @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ~ ( cA @ ( sK1_Xx @ SV1 ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $true )
| ( ( ~ ( cP @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: $i > $o] :
( ( ( ~ ( cA @ ( sK1_Xx @ SV1 ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( ~ ( cP @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: $i > $o] :
( ( ( ~ ( cA @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( ~ ( cP @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: $i > $o] :
( ( ( ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $false )
| ( ( ~ ( cP @ SV1 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: $i > $o] :
( ( ( cA @ ( sK1_Xx @ SV1 ) )
= $true )
| ( ( ~ ( cP @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( ~ ( cP @ SV1 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: $i > $o] :
( ( ( cP @ SV1 )
= $false )
| ( ( cA @ ( sK1_Xx @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( ~ ( cP @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: $i > $o] :
( ( ( cP @ SV1 )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ( cP
@ ^ [SX0: $i] : $true )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[20:[bind(SV1,$thf( ^ [SV5: $i] : $true ))]]) ).
thf(26,plain,
! [SV3: $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) )
= $false )
| ( ( ~ ( SV3
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[20:[bind(SV1,$thf( ^ [SV2: $i] : ~ ( SV3 @ SV2 ) ))]]) ).
thf(38,plain,
! [SV3: $i > $o] :
( ( ( SV3
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(40,plain,
( ( cP
@ ^ [SX0: $i] : $true )
= $false ),
inference(sim,[status(thm)],[24]) ).
thf(41,plain,
! [SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true ) ),
inference(rename,[status(thm)],[18]) ).
thf(44,plain,
! [SV6: $i > $o] :
( ( ( ( cP @ SV6 )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true ) ),
inference(res,[status(thm)],[41,8]) ).
thf(45,plain,
( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $true ),
inference(extuni,[status(esa)],[44:[bind(SV6,$thf( ^ [SX0: $i] : ( ( cA @ SX0 ) | ( cB @ SX0 ) ) ))]]) ).
thf(46,plain,
! [SV7: $i > $o] :
( ( ( cP @ SV7 )
= $false )
| ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= $false ) ),
inference(rename,[status(thm)],[20]) ).
thf(47,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= ( cA @ ( sK1_Xx @ SV6 ) ) )
= $false )
| ( ( cP @ SV7 )
= $false )
| ( ( cP @ SV6 )
= $false ) ),
inference(res,[status(thm)],[46,41]) ).
thf(49,plain,
! [SV7: $i > $o] :
( ( ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false )
| ( ( cP @ SV7 )
= $false ) ),
inference(res,[status(thm)],[46,8]) ).
thf(50,plain,
! [SV7: $i > $o] :
( ( ( ( cP @ SV7 )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= $false ) ),
inference(res,[status(thm)],[46,8]) ).
thf(51,plain,
( ( ( cP
@ ^ [SX0: $i] : $true )
= $false )
| ( $true = $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV7,$thf( ^ [SV11: $i] : $true ))]]) ).
thf(52,plain,
( ( cP
@ ^ [SX0: $i] : $true )
= $false ),
inference(sim,[status(thm)],[51]) ).
thf(54,plain,
! [SV9: $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) )
= $false )
| ( ( ~ ( SV9
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV7,$thf( ^ [SV8: $i] : ~ ( SV9 @ SV8 ) ))]]) ).
thf(55,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( ( SV17 @ SX0 )
| ( SV18 @ SX0 ) ) )
= $false )
| ( ( ( SV17
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV17 @ SX0 )
| ( SV18 @ SX0 ) ) ) )
| ( SV18
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV17 @ SX0 )
| ( SV18 @ SX0 ) ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV7,$thf( ^ [SV16: $i] : ( ( SV17 @ SV16 ) | ( SV18 @ SV16 ) ) ))]]) ).
thf(58,plain,
( ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
| ( cB
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[50:[bind(SV7,$thf( ^ [SX0: $i] : ( ( cA @ SX0 ) | ( cB @ SX0 ) ) ))]]) ).
thf(59,plain,
! [SV56: $i > $i > $i > $i > $o,SV119: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV119
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK2_E
@ ( SV56
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV119 @ SX0 @ SX1 ) ) | ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(60,plain,
! [SV56: $i > $i > $i > $i > $o,SV119: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV119
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK2_E
@ ( SV56
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV119 @ SX0 @ SX1 ) )
| ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV119 @ SX0 @ SX1 ) ) | ( cA @ ( sK2_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(61,plain,
! [SV71: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $false )
| ( ( cB
@ ( SV71
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV71 @ SX0 @ SX1 ) ) | ( cA @ SX1 ) ) ) ))]]) ).
thf(62,plain,
! [SV71: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $false )
| ( ( cB
@ ( SV71
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV71 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV71 @ SX0 @ SX1 ) ) | ( cA @ SX1 ) ) ) ))]]) ).
thf(63,plain,
! [SV61: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false )
| ( ( cB
@ ( SV61
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV61 @ SX0 @ SX1 ) ) | ( cA @ SX0 ) ) ) ))]]) ).
thf(64,plain,
! [SV61: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false )
| ( ( cB
@ ( SV61
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV61 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV61 @ SX0 @ SX1 ) ) | ( cA @ SX0 ) ) ) ))]]) ).
thf(65,plain,
! [SV51: $i > $i > $i,SV134: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK2_E
@ ( SV134
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( sK2_E @ ( SV134 @ SX0 @ SX1 ) ) ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(66,plain,
! [SV51: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX1 ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(67,plain,
! [SV51: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX0 ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(68,plain,
! [SV51: $i > $i > $i,SV129: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV129
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV129 @ SX0 @ SX1 ) ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(69,plain,
! [SV51: $i > $i > $i,SV129: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV129
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV129 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV129 @ SX0 @ SX1 ) ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(70,plain,
! [SV51: $i > $i > $i,SV154: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK2_E
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( sK2_E @ ( SV154 @ SX0 @ SX1 ) ) ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(71,plain,
! [SV51: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX1 ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(72,plain,
! [SV51: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX0 ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(73,plain,
! [SV51: $i > $i > $i,SV149: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV149
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV149 @ SX0 @ SX1 ) ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(74,plain,
! [SV51: $i > $i > $i,SV149: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV149
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV51
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV149 @ SX0 @ SX1 ) )
| ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV149 @ SX0 @ SX1 ) ) | ( cA @ ( SV51 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(75,plain,
! [SV237: $i > $i > $i,SV174: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV237
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK2_E
@ ( SV174
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) ) | ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(76,plain,
! [SV237: $i > $i > $i,SV174: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV237
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK2_E
@ ( SV174
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( sK2_E @ ( SV174 @ SX0 @ SX1 ) ) ) | ( cB @ ( SV237 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(77,plain,
! [SV189: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX1 ) | ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(78,plain,
! [SV189: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV189
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX1 ) | ( cB @ ( SV189 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(79,plain,
! [SV179: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV179
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX0 ) | ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(80,plain,
! [SV179: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV179
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX0 ) | ( cB @ ( SV179 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(81,plain,
! [SV252: $i > $i > $i > $i > $o,SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK2_E
@ ( SV252
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ ( sK2_E @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(82,plain,
! [SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ SX1 ) ) ) ))]]) ).
thf(83,plain,
! [SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ SX0 ) ) ) ))]]) ).
thf(84,plain,
! [SV247: $i > $i > $i,SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV247
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(85,plain,
! [SV247: $i > $i > $i,SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV247
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ ( SV247 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(86,plain,
! [SV272: $i > $i > $i > $i > $o,SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK2_E
@ ( SV272
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ ( sK2_E @ ( SV272 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(87,plain,
! [SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ SX1 ) ) ) ))]]) ).
thf(88,plain,
! [SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ SX0 ) ) ) ))]]) ).
thf(89,plain,
! [SV267: $i > $i > $i,SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(90,plain,
! [SV267: $i > $i > $i,SV169: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV267
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV169
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV169 @ SX0 @ SX1 ) )
| ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV169 @ SX0 @ SX1 ) ) | ( cB @ ( SV267 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(91,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV45
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
| ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( SV45 @ SX0 @ SX1 ) | ( SV46 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(92,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV45
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
| ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( SV45 @ SX0 @ SX1 ) | ( SV46 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(93,plain,
! [SV40: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] : ( cP @ ( SV40 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cP @ ( SV40 @ SX0 ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ( SV40 @ SX0 ) ) ))]]) ).
thf(94,plain,
! [SV40: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] : ( cP @ ( SV40 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV40
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cP @ ( SV40 @ SX0 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ( SV40 @ SX0 ) ) ))]]) ).
thf(95,plain,
! [SV288: $i > $i > $o] :
( ( ( cP
@ ( SV288
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV288 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV288 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV6,$thf( SV288 @ ( sK1_Xx @ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV288 @ SX0 ) ) ) ) )),bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV288 @ SX0 ) ) ) ))]]) ).
thf(96,plain,
! [SV288: $i > $i > $o,SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV288 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ( SV288
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV288 @ SX0 ) ) ) ) ) )
= ( sK1_Xx @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV288 @ SX0 ) ) ) ))]]) ).
thf(97,plain,
( ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV6,$thf( ^ [SX0: $i] : ( cA @ SX0 ) )),bind(SV7,$thf( ^ [SX0: $i] : ( cA @ SX0 ) ))]]) ).
thf(98,plain,
! [SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= ( sK1_Xx @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ SX0 ) ))]]) ).
thf(99,plain,
! [SV285: $i > $i,SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( SV285 @ SX0 ) ) )
= $false )
| ( ( cA
@ ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( SV285 @ SX0 ) ) ) ) )
= $true )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true ) ),
inference(extuni,[status(esa)],[47:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( SV285 @ SX0 ) ) ))]]) ).
thf(100,plain,
! [SV285: $i > $i,SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( SV285 @ SX0 ) ) )
= $false )
| ( ( cA
@ ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( SV285 @ SX0 ) ) ) ) )
= $false )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( SV285 @ SX0 ) ) ))]]) ).
thf(101,plain,
( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(102,plain,
( ( cB
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(103,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( SV45
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(104,plain,
! [SV45: $i > $i > $o,SV46: $i > $i > $o] :
( ( ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(105,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( SV45
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV9: $i > $o] :
( ( ( SV9
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(107,plain,
! [SV18: $i > $o,SV17: $i > $o] :
( ( ( SV17
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV17 @ SX0 )
| ( SV18 @ SX0 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( ( SV17 @ SX0 )
| ( SV18 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(108,plain,
! [SV17: $i > $o,SV18: $i > $o] :
( ( ( SV18
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV17 @ SX0 )
| ( SV18 @ SX0 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( ( SV17 @ SX0 )
| ( SV18 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(109,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV45
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(110,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV45
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(111,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(112,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(113,plain,
! [SV46: $i > $i > $o,SV45: $i > $i > $o] :
( ( ( cA
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cB
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV45
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
@ ( sK2_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV45 @ SX0 @ SX1 )
| ( SV46 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(114,plain,
( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ),
inference(sim,[status(thm)],[97]) ).
thf(116,plain,
! [SV290: $i > $o] :
( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) )
= $false ) ),
inference(rename,[status(thm)],[38]) ).
thf(117,plain,
! [SV290: $i > $o,SV290: $i > $o] :
( ( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= ( cP
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) )
= $false )
| ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[116,116]) ).
thf(120,plain,
! [SV290: $i > $o,SV7: $i > $o] :
( ( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= ( cP @ SV7 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) )
= $false )
| ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= $false ) ),
inference(res,[status(thm)],[116,46]) ).
thf(122,plain,
! [SV290: $i > $o,SV6: $i > $o] :
( ( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= ( cP @ SV6 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) )
= $false )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true ) ),
inference(res,[status(thm)],[116,41]) ).
thf(123,plain,
! [SV290: $i > $o] :
( ( ( ( cP
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false )
| ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[116,8]) ).
thf(125,plain,
( ( $false = $true )
| ( ( cP
@ ^ [SX0: $i] : ~ $false )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV293: $i] : $false ))]]) ).
thf(126,plain,
( ( cP
@ ^ [SX0: $i] : ~ $false )
= $false ),
inference(sim,[status(thm)],[125]) ).
thf(127,plain,
! [SV292: $i > $o] :
( ( ( ~ ( SV292
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV292 @ SX0 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV292 @ SX0 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV291: $i] : ~ ( SV292 @ SV291 ) ))]]) ).
thf(128,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != sK18_E ) )
= sK18_E )
= $true )
| ( ( cP
@ ^ [SX0: $i] : ( SX0 != sK18_E ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV295: $i] : ( SV295 = sK18_E ) ))]]) ).
thf(129,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != sK16_E ) )
= sK16_E )
= $true )
| ( ( cP
@ ^ [SX0: $i] : ( SX0 != sK16_E ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV296: $i] : ( SV296 = sK16_E ) ))]]) ).
thf(130,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != sK15_E ) )
= sK15_E )
= $true )
| ( ( cP
@ ^ [SX0: $i] : ( SX0 != sK15_E ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV297: $i] : ( SV297 = sK15_E ) ))]]) ).
thf(131,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( SX0 != sK17_E ) )
= sK17_E )
= $true )
| ( ( cP
@ ^ [SX0: $i] : ( SX0 != sK17_E ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV298: $i] : ( SV298 = sK17_E ) ))]]) ).
thf(132,plain,
! [SV305: $i > $o,SV304: $i > $o] :
( ( ( ( SV304
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( ( SV304 @ SX0 )
| ( SV305 @ SX0 ) ) ) )
| ( SV305
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( ( SV304 @ SX0 )
| ( SV305 @ SX0 ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( ( SV304 @ SX0 )
| ( SV305 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV303: $i] : ( ( SV304 @ SV303 ) | ( SV305 @ SV303 ) ) ))]]) ).
thf(133,plain,
! [SV302: $i > $i,SV301: $i > $i] :
( ( ( ( SV301
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV301 @ SX0 )
!= ( SV302 @ SX0 ) ) ) )
= ( SV302
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV301 @ SX0 )
!= ( SV302 @ SX0 ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( ( SV301 @ SX0 )
!= ( SV302 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[116:[bind(SV290,$thf( ^ [SV300: $i] : ( ( SV301 @ SV300 ) = ( SV302 @ SV300 ) ) ))]]) ).
thf(134,plain,
! [SV290: $i > $o] :
( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[116]) ).
thf(135,plain,
! [SV290: $i > $o] :
( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV290 @ ( sK19_E @ SV290 ) ) )
= $true )
| ( ( ( cA @ ( sK19_E @ SV290 ) )
| ( cB @ ( sK19_E @ SV290 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[123]) ).
thf(136,plain,
! [SV290: $i > $o] :
( ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV290 @ ( sK19_E @ SV290 ) ) )
= $false )
| ( ( ( cA @ ( sK19_E @ SV290 ) )
| ( cB @ ( sK19_E @ SV290 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[123]) ).
thf(137,plain,
! [SV327: $i > $i > $o] :
( ( ( cA
@ ( sK1_Xx
@ ( SV327
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP @ ( SV327 @ SX0 ) ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP @ ( SV327 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[122:[bind(SV6,$thf( SV327 @ ( sK1_Xx @ ^ [SX0: $i] : ~ ( cP @ ( SV327 @ SX0 ) ) ) )),bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ( SV327 @ SX0 ) ) ))]]) ).
thf(138,plain,
! [SV327: $i > $i > $o,SV6: $i > $o] :
( ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP @ ( SV327 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV327
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP @ ( SV327 @ SX0 ) ) ) ) )
= $true )
| ( ( cP @ SV6 )
= $true ) ),
inference(extuni,[status(esa)],[122:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ( SV327 @ SX0 ) ) ))]]) ).
thf(139,plain,
! [SV327: $i > $i > $o,SV6: $i > $o] :
( ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP @ ( SV327 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV327
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP @ ( SV327 @ SX0 ) ) ) ) )
= $false )
| ( ( cP @ SV6 )
= $false ) ),
inference(extuni,[status(esa)],[122:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ( SV327 @ SX0 ) ) ))]]) ).
thf(140,plain,
! [SV330: $i > $i > $o] :
( ( ( SV330
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP @ ( SV330 @ SX0 ) ) )
@ ( sK1_Xx
@ ( SV330
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP @ ( SV330 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP @ ( SV330 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[120:[bind(SV7,$thf( SV330 @ ( sK1_Xx @ ^ [SX0: $i] : ~ ( cP @ ( SV330 @ SX0 ) ) ) )),bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ( SV330 @ SX0 ) ) ))]]) ).
thf(141,plain,
! [SV330: $i > $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP @ ( SV330 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV330
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP @ ( SV330 @ SX0 ) ) ) ) )
= $true )
| ( ( cP @ SV7 )
= $true ) ),
inference(extuni,[status(esa)],[120:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ( SV330 @ SX0 ) ) ))]]) ).
thf(142,plain,
! [SV330: $i > $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP @ ( SV330 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV330
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP @ ( SV330 @ SX0 ) ) ) ) )
= $false )
| ( ( cP @ SV7 )
= $false ) ),
inference(extuni,[status(esa)],[120:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ( SV330 @ SX0 ) ) ))]]) ).
thf(143,plain,
! [SV357: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ( SV357
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( cP @ ( SV357 @ SX2 @ SX3 @ SX4 ) ) ) ) )
@ SX0
@ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( cP
@ ( SV357
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ( SV357
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP @ ( SV357 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( cP @ ( SV357 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( cP @ ^ [SX2: $i] : ~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(144,plain,
! [SV357: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ( SV357
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( cP @ ( SV357 @ SX2 @ SX3 @ SX4 ) ) ) ) )
@ SX0
@ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( cP
@ ( SV357
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ( SV357
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP @ ( SV357 @ SX1 @ SX2 @ SX3 ) ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( cP @ ( SV357 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( cP @ ^ [SX2: $i] : ~ ( cP @ ( SV357 @ SX0 @ SX1 @ SX2 ) ) ) ) ))]]) ).
thf(145,plain,
! [SV350: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV350
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( SV350 @ SX2 @ SX3 @ SX4 ) ) ) )
@ SX0
@ SX1 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( ~ ( SV350
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV350
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( cP @ ^ [SX2: $i] : ~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).
thf(146,plain,
! [SV350: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV350
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( SV350 @ SX2 @ SX3 @ SX4 ) ) ) )
@ SX0
@ SX1 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( ~ ( SV350
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV350
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) )
@ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( cP @ ^ [SX2: $i] : ~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) ))]]) ).
thf(147,plain,
! [SV343: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ( SV343
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV343 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ( SV343
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ( SV343
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP @ ( SV343 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(148,plain,
! [SV343: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ( SV343
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( cP @ ( SV343 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ( SV343
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ( SV343
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP @ ( SV343 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( cP @ ( SV343 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(149,plain,
! [SV338: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV338
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( SV338 @ SX0 @ SX1 ) ) ))]]) ).
thf(150,plain,
! [SV338: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV338
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[117:[bind(SV290,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ~ ( SV338 @ SX0 @ SX1 ) ) ))]]) ).
thf(153,plain,
! [SV387: $i > $i > $i > $o] :
( ( ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( cP @ ^ [SX1: $i] : ~ ( ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(154,plain,
! [SV387: $i > $i > $i > $o] :
( ( ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( cP @ ^ [SX1: $i] : ~ ( ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(155,plain,
! [SV382: $i > $i > $o] :
( ( ( ~ ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( cP @ ^ [SX1: $i] : ~ ( ~ ( SV382 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(156,plain,
! [SV382: $i > $i > $o] :
( ( ( ~ ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( cP @ ^ [SX1: $i] : ~ ( ~ ( SV382 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(157,plain,
! [SV377: $i > $i > $o] :
( ( ( ~ ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( cP @ ^ [SX1: $i] : ~ ( SV377 @ SX0 @ SX1 ) ) ))]]) ).
thf(158,plain,
! [SV377: $i > $i > $o] :
( ( ( ~ ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( cP @ ^ [SX1: $i] : ~ ( SV377 @ SX0 @ SX1 ) ) ))]]) ).
thf(160,plain,
! [SV372: $i > $i > $o] :
( ( ( cP
@ ( SV372
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) )
= $false )
| ( ( ~ ( cP
@ ( SV372
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( cP @ ( SV372 @ SX0 ) ) ))]]) ).
thf(161,plain,
! [SV369: $i > $o] :
( ( ( ~ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[134:[bind(SV290,$thf( ^ [SX0: $i] : ~ ( SV369 @ SX0 ) ))]]) ).
thf(163,plain,
! [SV290: $i > $o] :
( ( ( SV290 @ ( sK19_E @ SV290 ) )
= $true )
| ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( ( cA @ ( sK19_E @ SV290 ) )
| ( cB @ ( sK19_E @ SV290 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(164,plain,
! [SV290: $i > $o] :
( ( ( SV290 @ ( sK19_E @ SV290 ) )
= $false )
| ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( ( cA @ ( sK19_E @ SV290 ) )
| ( cB @ ( sK19_E @ SV290 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(165,plain,
! [SV338: $i > $i > $o] :
( ( ( SV338
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(166,plain,
! [SV338: $i > $i > $o] :
( ( ( SV338
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(167,plain,
! [SV350: $i > $i > $i > $o] :
( ( ( SV350
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV350
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( SV350 @ SX2 @ SX3 @ SX4 ) ) ) )
@ SX0
@ SX1 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV350
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) )
@ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(168,plain,
! [SV350: $i > $i > $i > $o] :
( ( ( SV350
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV350
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( SV350 @ SX2 @ SX3 @ SX4 ) ) ) )
@ SX0
@ SX1 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV350
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(169,plain,
! [SV292: $i > $o] :
( ( ( SV292
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV292 @ SX0 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV292 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(170,plain,
! [SV305: $i > $o,SV304: $i > $o] :
( ( ( SV304
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( ( SV304 @ SX0 )
| ( SV305 @ SX0 ) ) ) )
= $true )
| ( ( SV305
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( ( SV304 @ SX0 )
| ( SV305 @ SX0 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( ( SV304 @ SX0 )
| ( SV305 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(172,plain,
! [SV369: $i > $o] :
( ( ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) )
= $true )
| ( ( ~ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV372: $i > $i > $o] :
( ( ( cP
@ ( SV372
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV372
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(175,plain,
! [SV377: $i > $i > $o] :
( ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(176,plain,
! [SV377: $i > $i > $o] :
( ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(177,plain,
! [SV382: $i > $i > $o] :
( ( ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(178,plain,
! [SV382: $i > $i > $o] :
( ( ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(179,plain,
! [SV387: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(180,plain,
! [SV387: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP
@ ( SV387
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( cP @ ( SV387 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true )
| ( ( cP
@ ( SV387
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( cP @ ( SV387 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(181,plain,
! [SV290: $i > $o] :
( ( ( cA @ ( sK19_E @ SV290 ) )
= $false )
| ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( SV290 @ ( sK19_E @ SV290 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(182,plain,
! [SV290: $i > $o] :
( ( ( cB @ ( sK19_E @ SV290 ) )
= $false )
| ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( SV290 @ ( sK19_E @ SV290 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(183,plain,
! [SV290: $i > $o] :
( ( ( cA @ ( sK19_E @ SV290 ) )
= $true )
| ( ( cB @ ( sK19_E @ SV290 ) )
= $true )
| ( ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV290 @ SX0 ) ) )
= $true )
| ( ( SV290 @ ( sK19_E @ SV290 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(184,plain,
! [SV338: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) )
@ SX0 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV338
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(185,plain,
! [SV338: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) )
@ SX0 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV338
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV338 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV338
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV338 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(186,plain,
! [SV350: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV350
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) )
@ SX0 ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV350
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( SV350 @ SX2 @ SX3 @ SX4 ) ) ) )
@ SX0
@ SX1 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( SV350
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(187,plain,
! [SV350: $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV350
@ ( sK20_E
@ ^ [SX1: $i,SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) ) )
@ ( sK21_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] :
~ ( SV350 @ SX1 @ SX2 @ SX3 ) )
@ SX0 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( SV350
@ ( sK1_Xx
@ ^ [SX2: $i] :
~ ( cP
@ ^ [SX3: $i] :
~ ( cP
@ ^ [SX4: $i] :
~ ( SV350 @ SX2 @ SX3 @ SX4 ) ) ) )
@ SX0
@ SX1 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( SV350
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( cP
@ ^ [SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
~ ( cP
@ ^ [SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK21_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] :
~ ( SV350 @ SX0 @ SX1 @ SX2 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(189,plain,
! [SV369: $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) )
= $false )
| ( ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(190,plain,
! [SV377: $i > $i > $o] :
( ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $true )
| ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(191,plain,
! [SV377: $i > $i > $o] :
( ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) ) )
= $false )
| ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(192,plain,
! [SV382: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) )
= $true )
| ( ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(193,plain,
! [SV382: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) )
= $false )
| ( ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(195,plain,
! [SV369: $i > $o] :
( ( ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) )
= $false )
| ( ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(196,plain,
! [SV377: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) )
= $false )
| ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(197,plain,
! [SV377: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) )
= $true )
| ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(198,plain,
! [SV382: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $false )
| ( ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(199,plain,
! [SV382: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $false )
| ( ( SV382
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ~ ( SV382 @ SX0 @ SX1 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV382
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ~ ( SV382 @ SX1 @ SX2 ) )
@ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(200,plain,
! [SV377: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $false )
| ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV377: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK1_Xx
@ ^ [SX1: $i] :
~ ~ ( cP
@ ^ [SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) ) )
@ SX0 ) )
= $false )
| ( ( SV377
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP
@ ^ [SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
@ ( sK23_E
@ ^ [SX0: $i,SX1: $i] :
~ ( SV377 @ SX0 @ SX1 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV377
@ ( sK23_E
@ ^ [SX1: $i,SX2: $i] :
~ ( SV377 @ SX1 @ SX2 ) )
@ SX0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(202,plain,
! [SV369: $i > $o] :
( ( ( SV369
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( SV369 @ SX0 ) )
= $false ) ),
inference(sim,[status(thm)],[195]) ).
thf(203,plain,
! [SV372: $i > $i > $o] :
( ( ( cP
@ ( SV372
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
~ ~ ( cP @ ( SV372 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[173]) ).
thf(207,plain,
( ( ( cP
@ ^ [SX0: $i] : $true )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false ),
inference(res,[status(thm)],[40,8]) ).
thf(209,plain,
( ( $true = $false )
| ( ( ( cA @ sK28_E )
| ( cB @ sK28_E ) )
= $false ) ),
inference(extuni,[status(esa)],[207]) ).
thf(210,plain,
( ( ( cA @ sK28_E )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(211,plain,
( ( ( cB @ sK28_E )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(213,plain,
( ( cA @ sK28_E )
= $false ),
inference(sim,[status(thm)],[210]) ).
thf(214,plain,
( ( cB @ sK28_E )
= $false ),
inference(sim,[status(thm)],[211]) ).
thf(215,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[8,214,213,203,202,201,200,199,198,187,186,185,184,183,182,181,180,179,170,169,148,147,144,143,142,141,140,139,138,137,133,131,130,129,128,126,116,114,113,112,111,110,109,108,107,106,102,101,100,99,98,96,95,94,93,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,52,46,45,41,40]) ).
thf(216,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV410^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 27 22:11:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.34
% 0.19/0.34 No.of.Axioms: 0
% 0.19/0.34
% 0.19/0.34 Length.of.Defs: 0
% 0.19/0.34
% 0.19/0.34 Contains.Choice.Funs: false
% 0.19/0.34 (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).
% 0.19/0.43
% 0.19/0.43 Prim_subst applied to clause
% 0.19/0.43
% 0.19/0.43 46:[ 0:<cP@SV7 = $false>-w(1)-i() 1:<SV7@(sK1_Xx@SV7) = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 20)-o(CONJECTURE)-fv([ SV7 ])
% 0.42/0.60 ....
% 13.71/13.90
% 13.71/13.90 Prim_subst applied to clause
% 13.71/13.90
% 13.71/13.90 116:[ 0:<SV290@(sK1_Xx@(^[SX0:$i]: (~ (SV290@SX0)))) = $true>-w(1)-i() 1:<cP@(^[SX0:$i]: (~ (SV290@SX0))) = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 38)-o(CONJECTURE)-fv([ SV290 ])
% 15.43/15.62 ..
% 35.71/35.99
% 35.71/35.99 ********************************
% 35.71/35.99 * All subproblems solved! *
% 35.71/35.99 ********************************
% 35.71/35.99 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:215,loop_count:10,foatp_calls:3,translation:fof_full)
% 35.82/36.02
% 35.82/36.02 %**** Beginning of derivation protocol ****
% 35.82/36.02 % SZS output start CNFRefutation
% See solution above
% 35.82/36.02
% 35.82/36.02 %**** End of derivation protocol ****
% 35.82/36.02 %**** no. of clauses in derivation: 176 ****
% 35.82/36.02 %**** clause counter: 215 ****
% 35.82/36.02
% 35.82/36.02 % SZS status Theorem for /export/starexec/sandbox2/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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:215,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------