%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV410^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:50:03 AM UTC 2026
% Result : Theorem 2.69s 0.67s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1
% Syntax : Number of formulae : 143 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 1921 ( 426 equ; 0 cnn)
% Maximal formula atoms : 5 ( 13 avg)
% Number of connectives : 3873 ( 57 ~; 672 |; 7 &;3129 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 289 ( 289 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 8 con; 0-2 aty)
% Number of variables : 960 ( 791 ^; 164 !; 5 ?; 960 :)
% 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 > $i ) > ( $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 > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK14_E,type,
sK14_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK15_E,type,
sK15_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK16_E,type,
sK16_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK17_E,type,
sK17_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK18_E,type,
sK18_E: ( $i > $i > $i ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK19_E,type,
sK19_E: $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 > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK22_E,type,
sK22_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK23_E,type,
sK23_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK24_E,type,
sK24_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK25_E,type,
sK25_E: $i ).
thf(tp_sK2_E,type,
sK2_E: $i ).
thf(tp_sK3_E,type,
sK3_E: $i ).
thf(tp_sK4_E,type,
sK4_E: $i ).
thf(tp_sK5_E,type,
sK5_E: $i ).
thf(tp_sK6_E,type,
sK6_E: ( $i > $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: ( $i > $i > $o ) > ( $i > $i > $i > $i > $o ) > $i ).
thf(tp_sK9_E,type,
sK9_E: ( $i > $i > $i ) > ( $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/sandbox/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(21,plain,
( ( ( cP
@ ^ [SX0: $i] : $true )
= $false )
| ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(prim_subst,[status(thm)],[18:[bind(SV1,$thf( ^ [SV5: $i] : $true ))]]) ).
thf(22,plain,
( ( ( cP
@ ^ [SX0: $i] : $false )
= $false )
| ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(prim_subst,[status(thm)],[18:[bind(SV1,$thf( ^ [SV4: $i] : $false ))]]) ).
thf(23,plain,
! [SV3: $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) )
= $false )
| ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV3 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[18:[bind(SV1,$thf( ^ [SV2: $i] : ~ ( SV3 @ SV2 ) ))]]) ).
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(27,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( ( cP @ SV1 )
= ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[20]) ).
thf(28,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ( cP @ SV1 )
| ( SV1 @ ( sK1_Xx @ SV1 ) ) )
| ~ ( ~ ( cP @ SV1 )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: $i > $o] :
( ( ( ~ ( ~ ( cP @ SV1 )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: $i > $o] :
( ( ( ~ ( cP @ SV1 )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV1: $i > $o] :
( ( ( ~ ( cP @ SV1 ) )
= $true )
| ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(36,plain,
! [SV1: $i > $o] :
( ( ( cP @ SV1 )
= $false )
| ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(37,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( cP @ SV1 )
= $false )
| ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
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(39,plain,
! [SV1: $i > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( cP @ SV1 )
= $false ) ),
inference(sim,[status(thm)],[37]) ).
thf(40,plain,
( ( cP
@ ^ [SX0: $i] : $true )
= $false ),
inference(sim,[status(thm)],[24]) ).
thf(41,plain,
( ( ( cP
@ ^ [SX0: $i] : $true )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false ),
inference(res,[status(thm)],[40,8]) ).
thf(43,plain,
( ( $true = $false )
| ( ( ( cA @ sK2_E )
| ( cB @ sK2_E ) )
= $false ) ),
inference(extuni,[status(esa)],[41]) ).
thf(44,plain,
( ( ( cA @ sK2_E )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(45,plain,
( ( ( cB @ sK2_E )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
( ( cA @ sK2_E )
= $false ),
inference(sim,[status(thm)],[44]) ).
thf(48,plain,
( ( cB @ sK2_E )
= $false ),
inference(sim,[status(thm)],[45]) ).
thf(51,plain,
! [SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true ) ),
inference(rename,[status(thm)],[18]) ).
thf(55,plain,
! [SV6: $i > $o] :
( ( ( ( cA @ ( sK1_Xx @ SV6 ) )
= ( cA @ sK2_E ) )
= $false )
| ( ( cP @ SV6 )
= $false ) ),
inference(res,[status(thm)],[51,47]) ).
thf(57,plain,
! [SV6: $i > $o] :
( ( ( ( cP @ SV6 )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true ) ),
inference(res,[status(thm)],[51,8]) ).
thf(58,plain,
( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $true ),
inference(extuni,[status(esa)],[57:[bind(SV6,$thf( ^ [SX0: $i] : ( ( cA @ SX0 ) | ( cB @ SX0 ) ) ))]]) ).
thf(59,plain,
! [SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( ( sK1_Xx @ SV6 )
= sK2_E )
= $false ) ),
inference(extuni,[status(esa)],[55]) ).
thf(62,plain,
( ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= ( cA @ sK2_E ) )
= $false ),
inference(res,[status(thm)],[58,47]) ).
thf(64,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) )
= sK2_E )
= $false ),
inference(extuni,[status(esa)],[62]) ).
thf(68,plain,
! [SV7: $i > $o] :
( ( ( cP @ SV7 )
= $false )
| ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= $false ) ),
inference(rename,[status(thm)],[20]) ).
thf(69,plain,
! [SV7: $i > $o] :
( ( ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) ) )
= $false )
| ( ( cP @ SV7 )
= $false ) ),
inference(res,[status(thm)],[68,58]) ).
thf(71,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)],[68,51]) ).
thf(73,plain,
! [SV7: $i > $o] :
( ( ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false )
| ( ( cP @ SV7 )
= $false ) ),
inference(res,[status(thm)],[68,8]) ).
thf(74,plain,
! [SV7: $i > $o] :
( ( ( ( cP @ SV7 )
= ( cP
@ ^ [Xx: $i] :
( ( cA @ Xx )
| ( cB @ Xx ) ) ) )
= $false )
| ( ( SV7 @ ( sK1_Xx @ SV7 ) )
= $false ) ),
inference(res,[status(thm)],[68,8]) ).
thf(78,plain,
! [SV20: $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
~ ( SV20 @ SX0 ) )
= $false )
| ( ( ~ ( SV20
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV20 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[68:[bind(SV7,$thf( ^ [SV19: $i] : ~ ( SV20 @ SV19 ) ))]]) ).
thf(83,plain,
! [SV14: $i > $o,SV13: $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( ( SV13 @ SX0 )
| ( SV14 @ SX0 ) ) )
= $false )
| ( ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV13 @ SX0 )
| ( SV14 @ SX0 ) ) ) )
| ( SV14
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV13 @ SX0 )
| ( SV14 @ SX0 ) ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[68:[bind(SV7,$thf( ^ [SV12: $i] : ( ( SV13 @ SV12 ) | ( SV14 @ SV12 ) ) ))]]) ).
thf(86,plain,
( ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
| ( cB
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) ) )
= $false ),
inference(extuni,[status(esa)],[74:[bind(SV7,$thf( ^ [SX0: $i] : ( ( cA @ SX0 ) | ( cB @ SX0 ) ) ))]]) ).
thf(87,plain,
! [SV41: $i > $i > $i > $i > $o,SV104: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV104
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( ( sK6_E
@ ( SV41
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV104 @ SX0 @ SX1 ) ) | ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(88,plain,
! [SV41: $i > $i > $i > $i > $o,SV104: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV104
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV41
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV104 @ SX0 @ SX1 ) )
| ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV104 @ SX0 @ SX1 ) ) | ( cA @ ( sK6_E @ ( SV41 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(89,plain,
! [SV56: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $false )
| ( ( cB
@ ( SV56
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV56 @ SX0 @ SX1 ) ) | ( cA @ SX1 ) ) ) ))]]) ).
thf(90,plain,
! [SV56: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $false )
| ( ( cB
@ ( SV56
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV56 @ SX0 @ SX1 ) )
| ( cA @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV56 @ SX0 @ SX1 ) ) | ( cA @ SX1 ) ) ) ))]]) ).
thf(91,plain,
! [SV46: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false )
| ( ( cB
@ ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV46 @ SX0 @ SX1 ) ) | ( cA @ SX0 ) ) ) ))]]) ).
thf(92,plain,
! [SV46: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false )
| ( ( cB
@ ( SV46
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV46 @ SX0 @ SX1 ) )
| ( cA @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV46 @ SX0 @ SX1 ) ) | ( cA @ SX0 ) ) ) ))]]) ).
thf(93,plain,
! [SV36: $i > $i > $i,SV119: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV119
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( sK6_E @ ( SV119 @ SX0 @ SX1 ) ) ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(94,plain,
! [SV36: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX1 ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(95,plain,
! [SV36: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX0 ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(96,plain,
! [SV36: $i > $i > $i,SV114: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV114
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV114 @ SX0 @ SX1 ) ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(97,plain,
! [SV36: $i > $i > $i,SV114: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV114
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV114 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV114 @ SX0 @ SX1 ) ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(98,plain,
! [SV36: $i > $i > $i,SV139: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV139
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( sK6_E @ ( SV139 @ SX0 @ SX1 ) ) ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(99,plain,
! [SV36: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX1 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX1 ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(100,plain,
! [SV36: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ SX0 )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ SX0 ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(101,plain,
! [SV36: $i > $i > $i,SV134: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV134
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV134 @ SX0 @ SX1 ) ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(102,plain,
! [SV36: $i > $i > $i,SV134: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV134
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV36
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV134 @ SX0 @ SX1 ) )
| ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cB @ ( SV134 @ SX0 @ SX1 ) ) | ( cA @ ( SV36 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(103,plain,
! [SV222: $i > $i > $i,SV159: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV222
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK6_E
@ ( SV159
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) ) | ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(104,plain,
! [SV222: $i > $i > $i,SV159: $i > $i > $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV222
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV159
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) )
| ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( sK6_E @ ( SV159 @ SX0 @ SX1 ) ) ) | ( cB @ ( SV222 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(105,plain,
! [SV174: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV174
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX1 ) | ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(106,plain,
! [SV174: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV174
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX1 )
| ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX1 ) | ( cB @ ( SV174 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(107,plain,
! [SV164: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV164
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX0 ) | ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(108,plain,
! [SV164: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV164
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ SX0 )
| ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ SX0 ) | ( cB @ ( SV164 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(109,plain,
! [SV237: $i > $i > $i > $i > $o,SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV237
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ ( sK6_E @ ( SV237 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(110,plain,
! [SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ SX1 ) ) ) ))]]) ).
thf(111,plain,
! [SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ SX0 ) ) ) ))]]) ).
thf(112,plain,
! [SV232: $i > $i > $i,SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV232
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(113,plain,
! [SV232: $i > $i > $i,SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV232
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ ( SV232 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(114,plain,
! [SV257: $i > $i > $i > $i > $o,SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( ( sK6_E
@ ( SV257
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ ( sK6_E @ ( SV257 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(115,plain,
! [SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ SX1 ) ) ) ))]]) ).
thf(116,plain,
! [SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ SX0 ) ) ) ))]]) ).
thf(117,plain,
! [SV252: $i > $i > $i,SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV252
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(118,plain,
! [SV252: $i > $i > $i,SV154: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cB
@ ( SV252
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV154
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV154 @ SX0 @ SX1 ) )
| ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( cA @ ( SV154 @ SX0 @ SX1 ) ) | ( cB @ ( SV252 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(119,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV30
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
| ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( SV30 @ SX0 @ SX1 ) | ( SV31 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(120,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( SV30
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
| ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ^ [SX1: $i] : ( ( SV30 @ SX0 @ SX1 ) | ( SV31 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(121,plain,
! [SV25: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] : ( cP @ ( SV25 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cP @ ( SV25 @ SX0 ) ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ( SV25 @ SX0 ) ) ))]]) ).
thf(122,plain,
! [SV25: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] : ( cP @ ( SV25 @ SX0 ) ) )
= $false )
| ( ( cP
@ ( SV25
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cP @ ( SV25 @ SX0 ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[73:[bind(SV7,$thf( ^ [SX0: $i] : ( cP @ ( SV25 @ SX0 ) ) ))]]) ).
thf(123,plain,
! [SV273: $i > $i > $o] :
( ( ( cP
@ ( SV273
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV273 @ SX0 ) ) ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV273 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[71:[bind(SV6,$thf( SV273 @ ( sK1_Xx @ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV273 @ SX0 ) ) ) ) )),bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV273 @ SX0 ) ) ) ))]]) ).
thf(124,plain,
! [SV273: $i > $i > $o,SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV273 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ( SV273
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV273 @ SX0 ) ) ) ) ) )
= ( sK1_Xx @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[71:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV273 @ SX0 ) ) ) ))]]) ).
thf(125,plain,
( ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ) ),
inference(extuni,[status(esa)],[71:[bind(SV6,$thf( ^ [SX0: $i] : ( cA @ SX0 ) )),bind(SV7,$thf( ^ [SX0: $i] : ( cA @ SX0 ) ))]]) ).
thf(126,plain,
! [SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= ( sK1_Xx @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[71:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ SX0 ) ))]]) ).
thf(127,plain,
! [SV270: $i > $i,SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( SV270 @ SX0 ) ) )
= $false )
| ( ( cA
@ ( SV270
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( SV270 @ SX0 ) ) ) ) )
= $true )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $true ) ),
inference(extuni,[status(esa)],[71:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( SV270 @ SX0 ) ) ))]]) ).
thf(128,plain,
! [SV270: $i > $i,SV6: $i > $o] :
( ( ( cP @ SV6 )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ ( SV270 @ SX0 ) ) )
= $false )
| ( ( cA
@ ( SV270
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( SV270 @ SX0 ) ) ) ) )
= $false )
| ( ( cA @ ( sK1_Xx @ SV6 ) )
= $false ) ),
inference(extuni,[status(esa)],[71:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( SV270 @ SX0 ) ) ))]]) ).
thf(129,plain,
! [SV290: $i > $i > $i,SV325: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV325
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cB @ ( SV325 @ SX0 @ SX1 ) ) | ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(130,plain,
! [SV290: $i > $i > $i,SV325: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV325
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV325 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cB @ ( SV325 @ SX0 @ SX1 ) ) | ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(131,plain,
! [SV290: $i > $i > $i,SV335: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV335
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cB @ ( SV335 @ SX0 @ SX1 ) ) | ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(132,plain,
! [SV290: $i > $i > $i,SV335: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV335
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV290
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cB @ ( SV335 @ SX0 @ SX1 ) )
| ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cB @ ( SV335 @ SX0 @ SX1 ) ) | ( cA @ ( SV290 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(133,plain,
! [SV380: $i > $i > $i,SV345: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV380
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV345
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cA @ ( SV345 @ SX0 @ SX1 ) ) | ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(134,plain,
! [SV380: $i > $i > $i,SV345: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV380
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV345
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cA @ ( SV345 @ SX0 @ SX1 ) ) | ( cB @ ( SV380 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(135,plain,
! [SV390: $i > $i > $i,SV345: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV390
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( cA
@ ( SV345
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cA @ ( SV345 @ SX0 @ SX1 ) ) | ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(136,plain,
! [SV390: $i > $i > $i,SV345: $i > $i > $i] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( SV390
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( cA
@ ( SV345
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( cA @ ( SV345 @ SX0 @ SX1 ) )
| ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( cA @ ( SV345 @ SX0 @ SX1 ) ) | ( cB @ ( SV390 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(137,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
| ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( SV284 @ SX0 @ SX1 ) | ( SV285 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(138,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
| ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ^ [SX1: $i] : ( ( SV284 @ SX0 @ SX1 ) | ( SV285 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(139,plain,
! [SV279: $i > $i > $o] :
( ( ( cP
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV279 @ SX0 ) ) ) )
= $false )
| ( ( ( sK1_Xx
@ ( SV279
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV279 @ SX0 ) ) ) ) ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( sK1_Xx @ ( SV279 @ SX0 ) ) ) ))]]) ).
thf(140,plain,
( ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false )
| ( ( cA @ sK19_E )
= $true )
| ( ( ( cA @ sK19_E )
| ( cB @ sK19_E ) )
= $true ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ SX0 ) ))]]) ).
thf(141,plain,
( ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false )
| ( ( cA @ sK19_E )
= $false )
| ( ( ( cA @ sK19_E )
| ( cB @ sK19_E ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ SX0 ) ))]]) ).
thf(142,plain,
( ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ SX0 ) ))]]) ).
thf(143,plain,
! [SV276: $i > $i] :
( ( ( cP
@ ^ [SX0: $i] : ( cA @ ( SV276 @ SX0 ) ) )
= $false )
| ( ( cA
@ ( SV276
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( SV276 @ SX0 ) ) ) ) )
= $true )
| ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( SV276 @ SX0 ) ) ))]]) ).
thf(144,plain,
! [SV276: $i > $i] :
( ( ( cP
@ ^ [SX0: $i] : ( cA @ ( SV276 @ SX0 ) ) )
= $false )
| ( ( cA
@ ( SV276
@ ( sK1_Xx
@ ^ [SX0: $i] : ( cA @ ( SV276 @ SX0 ) ) ) ) )
= $false )
| ( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV7,$thf( ^ [SX0: $i] : ( cA @ ( SV276 @ SX0 ) ) ))]]) ).
thf(145,plain,
( ( cA
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(146,plain,
( ( cB
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( cA @ SX0 )
| ( cB @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[86]) ).
thf(147,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(148,plain,
! [SV30: $i > $i > $o,SV31: $i > $i > $o] :
( ( ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(149,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( SV30
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(150,plain,
( ( ( cA @ sK19_E )
= $false )
| ( ( cA @ sK19_E )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(151,plain,
( ( ( cB @ sK19_E )
= $false )
| ( ( cA @ sK19_E )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(152,plain,
( ( ( cA @ sK19_E )
= $true )
| ( ( cB @ sK19_E )
= $true )
| ( ( cA @ sK19_E )
= $true )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(153,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(154,plain,
! [SV284: $i > $i > $o,SV285: $i > $i > $o] :
( ( ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[138]) ).
thf(155,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
| ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(156,plain,
! [SV20: $i > $o] :
( ( ( SV20
@ ( sK1_Xx
@ ^ [SX0: $i] :
~ ( SV20 @ SX0 ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
~ ( SV20 @ SX0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(157,plain,
! [SV14: $i > $o,SV13: $i > $o] :
( ( ( SV13
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV13 @ SX0 )
| ( SV14 @ SX0 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( ( SV13 @ SX0 )
| ( SV14 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(158,plain,
! [SV13: $i > $o,SV14: $i > $o] :
( ( ( SV14
@ ( sK1_Xx
@ ^ [SX0: $i] :
( ( SV13 @ SX0 )
| ( SV14 @ SX0 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( ( SV13 @ SX0 )
| ( SV14 @ SX0 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[83]) ).
thf(159,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV30
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(160,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV30
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(161,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(162,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(163,plain,
! [SV31: $i > $i > $o,SV30: $i > $i > $o] :
( ( ( cA
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cB
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( SV31
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV30
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cP
@ ^ [SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV30 @ SX0 @ SX1 )
| ( SV31 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(164,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(165,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(166,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(167,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(168,plain,
! [SV285: $i > $i > $o,SV284: $i > $i > $o] :
( ( ( cA
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cB
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( cP
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV285
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( SV284
@ ( sK1_Xx
@ ^ [SX0: $i] :
( cA
@ ( sK1_Xx
@ ^ [SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) ) )
@ ( sK20_E
@ ^ [SX0: $i,SX1: $i] :
( ( SV284 @ SX0 @ SX1 )
| ( SV285 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(169,plain,
( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ),
inference(sim,[status(thm)],[125]) ).
thf(170,plain,
( ( ( cA @ sK19_E )
= $false )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ) ),
inference(sim,[status(thm)],[150]) ).
thf(171,plain,
( ( ( cA @ sK19_E )
= $true )
| ( ( cB @ sK19_E )
= $true )
| ( ( cP
@ ^ [SX0: $i] : ( cA @ SX0 ) )
= $false ) ),
inference(sim,[status(thm)],[152]) ).
thf(172,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[8,171,170,169,168,167,166,165,164,163,162,161,160,159,158,157,156,151,146,145,144,143,142,139,136,135,134,133,132,131,130,129,128,127,126,124,123,122,121,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,68,64,59,58,51,48,47,40,39,38,23,22,21]) ).
thf(173,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV410^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n019.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 15:46:31 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.69/0.67
% 2.69/0.67 No.of.Axioms: 0
% 2.69/0.67
% 2.69/0.67 Length.of.Defs: 0
% 2.69/0.67
% 2.69/0.67 Contains.Choice.Funs: false
% 2.69/0.67 .....
% 2.69/0.67
% 2.69/0.67 ********************************
% 2.69/0.67 * All subproblems solved! *
% 2.69/0.67 ********************************
% 2.69/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:172,loop_count:10,foatp_calls:4,translation:fof_full)
% 2.69/0.67
% 2.69/0.67 %**** Beginning of derivation protocol ****
% 2.69/0.67 % SZS output start CNFRefutation
% See solution above
% 2.69/0.67
% 2.69/0.67 %**** End of derivation protocol ****
% 2.69/0.67 %**** no. of clauses in derivation: 143 ****
% 2.69/0.67 %**** clause counter: 172 ****
% 2.69/0.67
% 2.69/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:172,loop_count:10,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------