%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL730^5 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 10:30:06 AM UTC 2026
% Result : Theorem 1.52s 0.49s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1
% Syntax : Number of formulae : 150 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 1722 ( 428 equ; 0 cnn)
% Maximal formula atoms : 4 ( 11 avg)
% Number of connectives : 11841 (1587 ~; 261 |; 2 &;9979 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 1786 (1786 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 2 con; 0-5 aty)
% Number of variables : 3051 (2564 ^; 469 !; 18 ?;3051 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_sK10_E,type,
sK10_E: b > ( b > b ) > ( ( b > $o ) > b > b ) > ( b > ( b > $o ) > b > $o ) > b > $o ).
thf(tp_sK11_E,type,
sK11_E: b > ( b > b ) > ( ( b > $o ) > b > b ) > ( b > ( b > $o ) > b > $o ) > b ).
thf(tp_sK1_Xp,type,
sK1_Xp: ( ( b > $o ) > b ) > b > $o ).
thf(tp_sK2_SY8,type,
sK2_SY8: ( ( b > $o ) > b ) > b ).
thf(tp_sK3_Xf,type,
sK3_Xf: ( ( b > $o ) > b > $o ) > ( b > $o ) > b ).
thf(tp_sK4_Xx,type,
sK4_Xx: ( ( b > $o ) > b > $o ) > b > $o ).
thf(tp_sK5_Eigen,type,
sK5_Eigen: ( b > $o ) > b ).
thf(tp_sK6_E,type,
sK6_E: b > ( b > b ) > ( ( b > $o ) > b > b ) > ( b > ( b > $o ) > b > $o ) > b > $o ).
thf(tp_sK7_E,type,
sK7_E: b > ( b > b ) > ( ( b > $o ) > b > b ) > ( b > ( b > $o ) > b > $o ) > b ).
thf(tp_sK8_E,type,
sK8_E: b > ( b > b ) > ( ( b > $o ) > b > b ) > ( b > ( b > $o ) > b > $o ) > b > $o ).
thf(tp_sK9_E,type,
sK9_E: b > ( b > b ) > ( ( b > $o ) > b > b ) > ( b > ( b > $o ) > b > $o ) > b ).
thf(1,conjecture,
( ! [Xr: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] : ( Xr @ Xx @ Xy )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] : ( Xr @ Xx @ ( Xf @ Xx ) ) )
=> ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5310) ).
thf(2,negated_conjecture,
( ( ! [Xr: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] : ( Xr @ Xx @ Xy )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] : ( Xr @ Xx @ ( Xf @ Xx ) ) )
=> ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] : ( Xr @ Xx @ Xy )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] : ( Xr @ Xx @ ( Xf @ Xx ) ) )
=> ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xr: ( b > $o ) > b > $o] :
( ! [Xx: b > $o] :
? [Xy: b] : ( Xr @ Xx @ Xy )
=> ? [Xf: ( b > $o ) > b] :
! [Xx: b > $o] : ( Xr @ Xx @ ( Xf @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ? [Xj: ( b > $o ) > b] :
! [Xp: b > $o] :
( ? [Xz: b] : ( Xp @ Xz )
=> ( Xp @ ( Xj @ Xp ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [Xj: ( b > $o ) > b] :
( ( sK1_Xp @ Xj @ ( sK2_SY8 @ Xj ) )
& ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xr: ( b > $o ) > b > $o] :
( ! [SY10: b] :
~ ( Xr @ ( sK4_Xx @ Xr ) @ SY10 )
| ! [SY9: b > $o] : ( Xr @ SY9 @ ( sK3_Xf @ Xr @ SY9 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Xr: ( b > $o ) > b > $o] :
( ! [SY10: b] :
~ ( Xr @ ( sK4_Xx @ Xr ) @ SY10 )
| ! [SY9: b > $o] : ( Xr @ SY9 @ ( sK3_Xf @ Xr @ SY9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [Xj: ( b > $o ) > b] :
( ( sK1_Xp @ Xj @ ( sK2_SY8 @ Xj ) )
& ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: ( b > $o ) > b] :
~ ( ~ ( sK1_Xp @ SX0 @ ( sK2_SY8 @ SX0 ) )
| ~ ~ ( sK1_Xp @ SX0 @ ( SX0 @ ( sK1_Xp @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: ( b > $o ) > b > $o] :
( ( ! [SY11: b] :
~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SY11 )
| ! [SY12: b > $o] : ( SV1 @ SY12 @ ( sK3_Xf @ SV1 @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY8 @ SV2 ) )
| ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: ( b > $o ) > b > $o] :
( ( ( ! [SY11: b] :
~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SY11 ) )
= $true )
| ( ( ! [SY12: b > $o] : ( SV1 @ SY12 @ ( sK3_Xf @ SV1 @ SY12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY8 @ SV2 ) )
| ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV3: b,SV1: ( b > $o ) > b > $o] :
( ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) )
= $true )
| ( ( ! [SY12: b > $o] : ( SV1 @ SY12 @ ( sK3_Xf @ SV1 @ SY12 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( sK2_SY8 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV3: b,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 )
= $false )
| ( ( ! [SY12: b > $o] : ( SV1 @ SY12 @ ( sK3_Xf @ SV1 @ SY12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: ( b > $o ) > b] :
( ( sK1_Xp @ SV2 @ ( sK2_SY8 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV3: b,SV4: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV2: ( b > $o ) > b] :
( ( sK1_Xp @ SV2 @ ( SV2 @ ( sK1_Xp @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( sK1_Xp @ sK5_Eigen @ ( sK5_Eigen @ ( sK1_Xp @ sK5_Eigen ) ) )
= $false ),
inference(instantiate,[status(thm)],[23:[bind(SV2,$thf( sK5_Eigen ))]]) ).
thf(25,plain,
! [SV2: ( b > $o ) > b] :
( ( ~ ~ ! [SV5: b] :
~ ( sK1_Xp @ SV2 @ SV5 )
| ( sK1_Xp @ SV2 @ ( sK5_Eigen @ ( sK1_Xp @ SV2 ) ) ) )
= $true ),
inference(choice,[status(thm)],[23]) ).
thf(26,plain,
! [SV6: ( b > $o ) > b] :
( ( ~ ~ ! [SX0: b] :
~ ( sK1_Xp @ SV6 @ SX0 )
| ( sK1_Xp @ SV6 @ ( sK5_Eigen @ ( sK1_Xp @ SV6 ) ) ) )
= $true ),
inference(rename,[status(thm)],[25]) ).
thf(27,plain,
! [SV6: ( b > $o ) > b] :
( ( ( ~ ~ ! [SX0: b] :
~ ( sK1_Xp @ SV6 @ SX0 ) )
= $true )
| ( ( sK1_Xp @ SV6 @ ( sK5_Eigen @ ( sK1_Xp @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV6: ( b > $o ) > b] :
( ( ( ~ ! [SX0: b] :
~ ( sK1_Xp @ SV6 @ SX0 ) )
= $false )
| ( ( sK1_Xp @ SV6 @ ( sK5_Eigen @ ( sK1_Xp @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(29,plain,
! [SV6: ( b > $o ) > b] :
( ( ( ! [SX0: b] :
~ ( sK1_Xp @ SV6 @ SX0 ) )
= $true )
| ( ( sK1_Xp @ SV6 @ ( sK5_Eigen @ ( sK1_Xp @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(30,plain,
! [SV7: b,SV6: ( b > $o ) > b] :
( ( ( ~ ( sK1_Xp @ SV6 @ SV7 ) )
= $true )
| ( ( sK1_Xp @ SV6 @ ( sK5_Eigen @ ( sK1_Xp @ SV6 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(31,plain,
! [SV7: b,SV6: ( b > $o ) > b] :
( ( ( sK1_Xp @ SV6 @ SV7 )
= $false )
| ( ( sK1_Xp @ SV6 @ ( sK5_Eigen @ ( sK1_Xp @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV3: b,SV4: b > $o,SV10: ( b > $o ) > b > $o] :
( ( ( ~ ( SV10 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV10 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV10 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(prim_subst,[status(thm)],[22:[bind(SV1,$thf( ^ [SV8: b > $o] : ^ [SV9: b] : ~ ( SV10 @ SV8 @ SV9 ) ))]]) ).
thf(35,plain,
! [SV3: b,SV4: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true )
| ( ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[22]) ).
thf(36,plain,
! [SV3: b,SV4: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ~ ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
| ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) )
| ~ ( ~ ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
| ~ ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(37,plain,
! [SV3: b,SV4: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[35]) ).
thf(38,plain,
! [SV3: b,SV4: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ~ ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
| ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) ) )
= $false )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(40,plain,
! [SV3: b,SV4: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
| ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) )
= $true )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV3: b,SV4: b > $o,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true )
| ( ( ~ ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 ) )
= $true )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(44,plain,
! [SV4: b > $o,SV3: b,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 )
= $false )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV3: b,SV121: b > ( b > $o ) > b > b,SV120: b > ( b > $o ) > b > b > ( b > $o ) > b > $o,SV119: b > ( b > $o ) > b > ( b > $o ) > b > b,SV118: b > ( b > $o ) > b > b > b,SV117: b > ( b > $o ) > b > b,SV17: ( b > $o ) > b > b,SV109: b > b] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV118
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV119
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV120
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV121
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV118
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV119
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV120
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV121
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) @ ( SV109 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) ))]]) ).
thf(49,plain,
! [SV3: b,SV121: b > ( b > $o ) > b > b,SV120: b > ( b > $o ) > b > b > ( b > $o ) > b > $o,SV119: b > ( b > $o ) > b > ( b > $o ) > b > b,SV118: b > ( b > $o ) > b > b > b,SV117: b > ( b > $o ) > b > b,SV17: ( b > $o ) > b > b,SV109: b > b] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV118
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV119
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV120
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV121
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV118
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV119
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV120
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV121
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) @ ( SV109 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) ))]]) ).
thf(50,plain,
! [SV3: b,SV113: b > ( b > $o ) > b > b,SV17: ( b > $o ) > b > b,SV109: b > b] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV113
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false )
| ( ( ( SV113
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) )
= ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) @ ( SV109 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) ))]]) ).
thf(51,plain,
! [SV3: b,SV113: b > ( b > $o ) > b > b,SV17: ( b > $o ) > b > b,SV109: b > b] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV113
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV113
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) @ ( SV109 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) ))]]) ).
thf(52,plain,
! [SV3: b,SV113: b > ( b > $o ) > b > b,SV17: ( b > $o ) > b > b,SV109: b > b] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV113
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV113
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) @ ( SV109 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) ))]]) ).
thf(54,plain,
! [SV3: b,SV109: b > b,SV17: ( b > $o ) > b > b,SV108: b > ( b > $o ) > b > $o] :
( ( ( ~ ( sK4_Xx
@ ( SV108
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ( SV108
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) ))]]) ).
thf(55,plain,
! [SV3: b,SV17: ( b > $o ) > b > b,SV105: b > $o] :
( ( ( ~ ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( SV105 @ SX0 ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) ))]]) ).
thf(57,plain,
! [SV3: b,SV86: b > ( b > $o ) > b > b,SV23: ( b > $o ) > b > b,SV82: b > b] :
( ( ( ~ ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) @ ( SV82 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(58,plain,
! [SV3: b,SV86: b > ( b > $o ) > b > b,SV23: ( b > $o ) > b > b,SV82: b > b] :
( ( ( ~ ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) @ ( SV82 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(59,plain,
! [SV3: b,SV90: b > ( b > $o ) > b > $o,SV23: ( b > $o ) > b > b,SV82: b > b] :
( ( ( ~ ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ~ ( SV90 @ SX0 @ SX1 @ SX2 ) @ ( SV82 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(60,plain,
! [SV3: b,SV90: b > ( b > $o ) > b > $o,SV23: ( b > $o ) > b > b,SV82: b > b] :
( ( ( ~ ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( ~ ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ^ [SX1: b > $o] : ^ [SX2: b] : ~ ( SV90 @ SX0 @ SX1 @ SX2 ) @ ( SV82 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(61,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV81: b > ( b > $o ) > b > $o] :
( ( ( ~ ~ ( sK4_Xx
@ ( SV81
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ( SV81
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(64,plain,
! [SV3: b,SV23: ( b > $o ) > b > b,SV78: b > $o] :
( ( ( ~ ~ ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( SV78 @ SX0 ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) ))]]) ).
thf(66,plain,
! [SV3: b,SV67: b > b,SV29: ( b > $o ) > b > b,SV66: b > ( b > $o ) > b > $o] :
( ( ( ~ ~ ~ ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(67,plain,
! [SV3: b,SV29: ( b > $o ) > b > b,SV63: b > $o] :
( ( ( ~ ~ ~ ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( SV63 @ SX0 ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(70,plain,
! [SV3: b,SV35: ( b > $o ) > b > b,SV56: b > $o] :
( ( ( ~ ~ ~ ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV4,$thf( ^ [SX0: b] : ~ ( SV56 @ SX0 ) )),bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( ~ ( ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(71,plain,
! [SV3: b,SV4: b > $o,SV44: ( b > $o ) > b > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[37:[bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( ~ ( ~ ( ~ ( ~ ( SV44 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(74,plain,
! [SV3: b,SV4: b > $o,SV38: ( b > $o ) > b > $o] :
( ( ( ~ ~ ~ ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( ~ ( ~ ( ~ ( SV38 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(75,plain,
! [SV3: b,SV4: b > $o,SV32: ( b > $o ) > b > $o] :
( ( ( ~ ~ ~ ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[37:[bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( ~ ( ~ ( SV32 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(78,plain,
! [SV3: b,SV4: b > $o,SV26: ( b > $o ) > b > $o] :
( ( ( ~ ~ ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV26
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extuni,[status(esa)],[37:[bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( ~ ( SV26 @ SX0 @ SX1 ) ) ))]]) ).
thf(79,plain,
! [SV3: b,SV4: b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( ~ ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV20
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extuni,[status(esa)],[37:[bind(SV1,$thf( ^ [SX0: b > $o] : ^ [SX1: b] : ~ ( SV20 @ SX0 @ SX1 ) ))]]) ).
thf(82,plain,
! [SV3: b,SV4: b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( ~ ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV20
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV3: b,SV4: b > $o,SV26: ( b > $o ) > b > $o] :
( ( ( ~ ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV26
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(86,plain,
! [SV3: b,SV4: b > $o,SV32: ( b > $o ) > b > $o] :
( ( ( ~ ~ ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(87,plain,
! [SV3: b,SV4: b > $o,SV38: ( b > $o ) > b > $o] :
( ( ( ~ ~ ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(90,plain,
! [SV3: b,SV4: b > $o,SV44: ( b > $o ) > b > $o] :
( ( ( ~ ~ ~ ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(91,plain,
! [SV3: b,SV35: ( b > $o ) > b > b,SV56: b > $o] :
( ( ( ~ ~ ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(94,plain,
! [SV3: b,SV29: ( b > $o ) > b > b,SV63: b > $o] :
( ( ( ~ ~ ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(95,plain,
! [SV3: b,SV67: b > b,SV29: ( b > $o ) > b > b,SV66: b > ( b > $o ) > b > $o] :
( ( ( ~ ~ ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(97,plain,
! [SV3: b,SV23: ( b > $o ) > b > b,SV78: b > $o] :
( ( ( ~ ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(100,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV81: b > ( b > $o ) > b > $o] :
( ( ( ~ ( sK4_Xx
@ ( SV81
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ( SV81
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(101,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV90: b > ( b > $o ) > b > $o] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(102,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV90: b > ( b > $o ) > b > $o] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(103,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV86: b > ( b > $o ) > b > b] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(104,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV86: b > ( b > $o ) > b > b] :
( ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) ) )
= $false )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(106,plain,
! [SV3: b,SV17: ( b > $o ) > b > b,SV105: b > $o] :
( ( ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(107,plain,
! [SV3: b,SV109: b > b,SV17: ( b > $o ) > b > b,SV108: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ( SV108
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ( SV108
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(109,plain,
! [SV3: b,SV109: b > b,SV17: ( b > $o ) > b > b,SV113: b > ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV113
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV113
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(110,plain,
! [SV3: b,SV109: b > b,SV17: ( b > $o ) > b > b,SV113: b > ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV113
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV113
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(111,plain,
! [SV3: b,SV109: b > b,SV17: ( b > $o ) > b > b,SV113: b > ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV113
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV113 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false )
| ( ( ( SV113
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) )
= ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV113 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(112,plain,
! [SV3: b,SV109: b > b,SV121: b > ( b > $o ) > b > b,SV120: b > ( b > $o ) > b > b > ( b > $o ) > b > $o,SV119: b > ( b > $o ) > b > ( b > $o ) > b > b,SV118: b > ( b > $o ) > b > b > b,SV17: ( b > $o ) > b > b,SV117: b > ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV118
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV119
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV120
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV121
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV118
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV119
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV120
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV121
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(113,plain,
! [SV3: b,SV109: b > b,SV121: b > ( b > $o ) > b > b,SV120: b > ( b > $o ) > b > b > ( b > $o ) > b > $o,SV119: b > ( b > $o ) > b > ( b > $o ) > b > b,SV118: b > ( b > $o ) > b > b > b,SV17: ( b > $o ) > b > b,SV117: b > ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV118
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV119
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV120
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV121
@ ( SV17
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] : ( SX2 @ ( SV17 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( sK10_E @ ( SV117 @ SX2 @ SX3 @ SX4 ) @ ( SV118 @ SX2 @ SX3 @ SX4 ) @ ( SV119 @ SX2 @ SX3 @ SX4 ) @ ( SV120 @ SX2 @ SX3 @ SX4 ) @ ( SV121 @ SX2 @ SX3 @ SX4 ) )
@ ( SV109 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK10_E
@ ( SV117
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV118
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV119
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV120
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) )
@ ( SV121
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) )
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV17
@ ( sK10_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK11_E @ SV3 @ SV109 @ SV17
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( sK10_E @ ( SV117 @ SX0 @ SX1 @ SX2 ) @ ( SV118 @ SX0 @ SX1 @ SX2 ) @ ( SV119 @ SX0 @ SX1 @ SX2 ) @ ( SV120 @ SX0 @ SX1 @ SX2 ) @ ( SV121 @ SX0 @ SX1 @ SX2 ) )
@ ( SV109 @ SX0 ) ) ) ) )
= ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(115,plain,
! [SV3: b,SV4: b > $o,SV20: ( b > $o ) > b > $o] :
( ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( ~ ~ ( SV20
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(116,plain,
! [SV3: b,SV4: b > $o,SV26: ( b > $o ) > b > $o] :
( ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( ~ ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV26
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(119,plain,
! [SV3: b,SV4: b > $o,SV32: ( b > $o ) > b > $o] :
( ( ( ~ ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(120,plain,
! [SV3: b,SV4: b > $o,SV38: ( b > $o ) > b > $o] :
( ( ( ~ ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(123,plain,
! [SV3: b,SV4: b > $o,SV44: ( b > $o ) > b > $o] :
( ( ( ~ ~ ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(124,plain,
! [SV3: b,SV35: ( b > $o ) > b > b,SV56: b > $o] :
( ( ( ~ ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(127,plain,
! [SV3: b,SV29: ( b > $o ) > b > b,SV63: b > $o] :
( ( ( ~ ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(128,plain,
! [SV3: b,SV67: b > b,SV29: ( b > $o ) > b > b,SV66: b > ( b > $o ) > b > $o] :
( ( ( ~ ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(130,plain,
! [SV3: b,SV23: ( b > $o ) > b > b,SV78: b > $o] :
( ( ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(133,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV81: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ( SV81
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ( SV81
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(134,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV90: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(135,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV90: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ~ ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(136,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV86: b > ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(137,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV86: b > ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(139,plain,
! [SV3: b,SV17: ( b > $o ) > b > b,SV105: b > $o] :
( ( ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) )
= $false )
| ( ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(141,plain,
! [SV4: b > $o,SV3: b,SV20: ( b > $o ) > b > $o] :
( ( ( ~ ( SV20
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(142,plain,
! [SV3: b,SV4: b > $o,SV26: ( b > $o ) > b > $o] :
( ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( ~ ~ ( SV26
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(145,plain,
! [SV3: b,SV4: b > $o,SV32: ( b > $o ) > b > $o] :
( ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( ~ ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(146,plain,
! [SV3: b,SV4: b > $o,SV38: ( b > $o ) > b > $o] :
( ( ( ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(149,plain,
! [SV3: b,SV4: b > $o,SV44: ( b > $o ) > b > $o] :
( ( ( ~ ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(150,plain,
! [SV3: b,SV35: ( b > $o ) > b > b,SV56: b > $o] :
( ( ( ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(153,plain,
! [SV3: b,SV29: ( b > $o ) > b > b,SV63: b > $o] :
( ( ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(154,plain,
! [SV3: b,SV67: b > b,SV29: ( b > $o ) > b > b,SV66: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(156,plain,
! [SV3: b,SV23: ( b > $o ) > b > b,SV78: b > $o] :
( ( ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) )
= $true )
| ( ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(158,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV90: b > ( b > $o ) > b > $o] :
( ( ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(159,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV90: b > ( b > $o ) > b > $o] :
( ( ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ~ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(160,plain,
! [SV86: b > ( b > $o ) > b > b,SV23: ( b > $o ) > b > b,SV82: b > b,SV3: b] :
( ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(161,plain,
! [SV86: b > ( b > $o ) > b > b,SV23: ( b > $o ) > b > b,SV82: b > b,SV3: b] :
( ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV86
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
( SX0
@ ( SV86
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] : ( SX3 @ ( SV86 @ SX2 @ SX3 @ SX4 ) )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] : ( SX1 @ ( SV86 @ SX0 @ SX1 @ SX2 ) )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(163,plain,
! [SV105: b > $o,SV3: b,SV17: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false )
| ( ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) )
= $false )
| ( ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(165,plain,
! [SV4: b > $o,SV3: b,SV20: ( b > $o ) > b > $o] :
( ( ( SV20
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(166,plain,
! [SV4: b > $o,SV3: b,SV26: ( b > $o ) > b > $o] :
( ( ( ~ ( SV26
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(169,plain,
! [SV3: b,SV4: b > $o,SV32: ( b > $o ) > b > $o] :
( ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( ~ ~ ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(170,plain,
! [SV3: b,SV4: b > $o,SV38: ( b > $o ) > b > $o] :
( ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( ~ ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) ) )
= $false )
| ( ( ~ ~ ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(173,plain,
! [SV3: b,SV4: b > $o,SV44: ( b > $o ) > b > $o] :
( ( ( ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(174,plain,
! [SV3: b,SV35: ( b > $o ) > b > b,SV56: b > $o] :
( ( ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(177,plain,
! [SV3: b,SV29: ( b > $o ) > b > b,SV63: b > $o] :
( ( ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) )
= $false )
| ( ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(178,plain,
! [SV78: b > $o,SV3: b,SV23: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true )
| ( ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) )
= $true )
| ( ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(180,plain,
! [SV90: b > ( b > $o ) > b > $o,SV23: ( b > $o ) > b > b,SV82: b > b,SV3: b] :
( ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) )
= $true )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(181,plain,
! [SV90: b > ( b > $o ) > b > $o,SV23: ( b > $o ) > b > b,SV82: b > b,SV3: b] :
( ( ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV23
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV90
@ ( SV23
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) )
@ ( sK3_Xf
@ ^ [SX2: b > $o,SX3: b] :
~ ( SX2 @ ( SV23 @ SX2 @ SX3 ) )
@ ^ [SX2: b] :
~ ( sK4_Xx
@ ^ [SX3: b > $o,SX4: b] :
~ ( SV90 @ SX2 @ SX3 @ SX4 )
@ ( SV82 @ SX2 ) ) ) )
@ SX0
@ SX1 )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( SV90
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) )
@ ( sK8_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) )
@ ( sK9_E @ SV3 @ SV82 @ SV23
@ ^ [SX0: b,SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 ) ) )
= $false )
| ( ( ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx
@ ^ [SX1: b > $o,SX2: b] :
~ ( SV90 @ SX0 @ SX1 @ SX2 )
@ ( SV82 @ SX0 ) ) ) ) )
= ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(182,plain,
! [SV4: b > $o,SV3: b,SV26: ( b > $o ) > b > $o] :
( ( ( SV26
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(185,plain,
! [SV4: b > $o,SV3: b,SV32: ( b > $o ) > b > $o] :
( ( ( ~ ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(186,plain,
! [SV3: b,SV4: b > $o,SV38: ( b > $o ) > b > $o] :
( ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( ~ ~ ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(189,plain,
! [SV3: b,SV4: b > $o,SV44: ( b > $o ) > b > $o] :
( ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( ~ ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) ) )
= $true )
| ( ( ~ ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(190,plain,
! [SV3: b,SV35: ( b > $o ) > b > b,SV56: b > $o] :
( ( ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) )
= $true )
| ( ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(193,plain,
! [SV63: b > $o,SV3: b,SV29: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false )
| ( ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) )
= $false )
| ( ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(195,plain,
! [SV4: b > $o,SV3: b,SV32: ( b > $o ) > b > $o] :
( ( ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(196,plain,
! [SV4: b > $o,SV3: b,SV38: ( b > $o ) > b > $o] :
( ( ( ~ ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true )
| ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(199,plain,
! [SV3: b,SV4: b > $o,SV44: ( b > $o ) > b > $o] :
( ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( ~ ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(200,plain,
! [SV56: b > $o,SV3: b,SV35: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true )
| ( ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) )
= $true )
| ( ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(202,plain,
! [SV4: b > $o,SV3: b,SV38: ( b > $o ) > b > $o] :
( ( ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true )
| ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(205,plain,
! [SV4: b > $o,SV3: b,SV44: ( b > $o ) > b > $o] :
( ( ( ~ ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false )
| ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV4: b > $o,SV3: b,SV44: ( b > $o ) > b > $o] :
( ( ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(208,plain,
! [SV3: b,SV4: b > $o,SV10: ( b > $o ) > b > $o] :
( ( ( SV10 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV10 @ SX0 @ SX1 )
@ SV4 ) )
= $false )
| ( ( ~ ( SV10
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV10 @ SX0 @ SX1 ) )
@ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(209,plain,
! [SV4: b > $o,SV3: b,SV10: ( b > $o ) > b > $o] :
( ( ( SV10
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV10 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV10 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV10 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(210,plain,
! [SV4: b > $o,SV3: b,SV1: ( b > $o ) > b > $o] :
( ( ( SV1 @ ( sK4_Xx @ SV1 ) @ SV3 )
= $false )
| ( ( SV1 @ SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true ) ),
inference(sim,[status(thm)],[44]) ).
thf(211,plain,
! [SV4: b > $o,SV3: b,SV20: ( b > $o ) > b > $o] :
( ( ( SV20
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV20 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SV20 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[165]) ).
thf(212,plain,
! [SV4: b > $o,SV3: b,SV26: ( b > $o ) > b > $o] :
( ( ( SV26
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV26 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SV26 @ SX0 @ SX1 )
@ SV4 ) )
= $true ) ),
inference(sim,[status(thm)],[182]) ).
thf(213,plain,
! [SV4: b > $o,SV3: b,SV32: ( b > $o ) > b > $o] :
( ( ( SV32
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV32 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SV32 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[195]) ).
thf(214,plain,
! [SV4: b > $o,SV3: b,SV38: ( b > $o ) > b > $o] :
( ( ( SV38
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 ) )
@ SV3 )
= $false )
| ( ( SV38 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ( SV38 @ SX0 @ SX1 )
@ SV4 ) )
= $true ) ),
inference(sim,[status(thm)],[202]) ).
thf(215,plain,
! [SV4: b > $o,SV3: b,SV44: ( b > $o ) > b > $o] :
( ( ( SV44
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 ) )
@ SV3 )
= $true )
| ( ( SV44 @ SV4
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ~ ~ ( SV44 @ SX0 @ SX1 )
@ SV4 ) )
= $false ) ),
inference(sim,[status(thm)],[207]) ).
thf(216,plain,
! [SV56: b > $o,SV3: b,SV35: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ( SV35
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true )
| ( ( SV56
@ ( SV35
@ ^ [SX0: b] :
~ ( SV56 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ~ ( SX0 @ ( SV35 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV56 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[200]) ).
thf(217,plain,
! [SV63: b > $o,SV3: b,SV29: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false )
| ( ( SV63
@ ( SV29
@ ^ [SX0: b] :
~ ( SV63 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV63 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[193]) ).
thf(218,plain,
! [SV3: b,SV67: b > b,SV29: ( b > $o ) > b > b,SV66: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ( SV66
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) )
@ ( SV67
@ ( SV29
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV66 @ SX0 ) @ ( SV67 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) )
@ ( SV29
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ~ ( SX0 @ ( SV29 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(sim,[status(thm)],[154]) ).
thf(219,plain,
! [SV78: b > $o,SV3: b,SV23: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true )
| ( ( SV78
@ ( SV23
@ ^ [SX0: b] :
~ ( SV78 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV78 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[178]) ).
thf(220,plain,
! [SV3: b,SV82: b > b,SV23: ( b > $o ) > b > b,SV81: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ( SV81
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) )
@ ( SV82
@ ( SV23
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV81 @ SX0 ) @ ( SV82 @ SX0 ) ) ) ) ) )
= $true )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) )
@ ( SV23
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] :
~ ( SX0 @ ( SV23 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $true ) ),
inference(sim,[status(thm)],[133]) ).
thf(221,plain,
! [SV105: b > $o,SV3: b,SV17: ( b > $o ) > b > b] :
( ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false )
| ( ( SV105
@ ( SV17
@ ^ [SX0: b] :
~ ( SV105 @ SX0 )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( SV105 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[163]) ).
thf(222,plain,
! [SV3: b,SV109: b > b,SV17: ( b > $o ) > b > b,SV108: b > ( b > $o ) > b > $o] :
( ( ( sK4_Xx
@ ( SV108
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) )
@ ( SV109
@ ( SV17
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) )
@ ( sK3_Xf
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ^ [SX0: b] :
~ ( sK4_Xx @ ( SV108 @ SX0 ) @ ( SV109 @ SX0 ) ) ) ) ) )
= $false )
| ( ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) )
@ ( SV17
@ ( sK4_Xx
@ ^ [SX0: b > $o,SX1: b] : ( SX0 @ ( SV17 @ SX0 @ SX1 ) ) )
@ SV3 ) )
= $false ) ),
inference(sim,[status(thm)],[107]) ).
thf(223,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,222,221,220,219,218,217,216,215,214,213,212,211,210,209,181,180,161,160,113,112,111,110,109,31,24,23,22]) ).
thf(224,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL730^5 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n002.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 12:35:42 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/0.48
% 1.52/0.48 No.of.Axioms: 0
% 1.52/0.48
% 1.52/0.48 Length.of.Defs: 0
% 1.52/0.48
% 1.52/0.48 Contains.Choice.Funs: false
% 1.52/0.48
% 1.52/0.48 *** Modified list of choice operators: sK5_Eigen ***
% 1.52/0.49 ...
% 1.52/0.49
% 1.52/0.49 ********************************
% 1.52/0.49 * All subproblems solved! *
% 1.52/0.49 ********************************
% 1.52/0.49 % 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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:223,loop_count:0,foatp_calls:2,translation:fof_experiment)
% 1.52/0.49
% 1.52/0.49 %**** Beginning of derivation protocol ****
% 1.52/0.49 % SZS output start CNFRefutation
% See solution above
% 1.52/0.49
% 1.52/0.49 %**** End of derivation protocol ****
% 1.52/0.49 %**** no. of clauses in derivation: 150 ****
% 1.52/0.49 %**** clause counter: 223 ****
% 1.52/0.49
% 1.52/0.49 % 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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:223,loop_count:0,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------