%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU601^2 : TPTP v9.3.1. Released v3.7.0.
% 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 : n015.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 10:45:27 AM UTC 2026
% Result : Theorem 1.00s 0.42s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 117 ( 37 unt; 0 typ; 2 def)
% Number of atoms : 984 ( 331 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 1950 ( 270 ~; 197 |; 0 &;1460 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 470 ( 315 ^; 155 !; 0 ?; 470 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrI,type,
dsetconstrI: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY17,type,
sK2_SY17: $i ).
thf(tp_sK3_SY22,type,
sK3_SY22: $i ).
thf(tp_sK4_E,type,
sK4_E: ( $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( $i > $i ) > ( $i > $i > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: $i ).
thf(tp_sK7_E,type,
sK7_E: $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_setminus,type,
setminus: $i > $i > $i ).
thf(dsetconstrI,definition,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
thf(setminus,definition,
( setminus
= ( ^ [A: $i,B: $i] :
( dsetconstr @ A
@ ^ [Xx: $i] :
~ ( in @ Xx @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminus) ).
thf(1,conjecture,
( dsetconstrI
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusI) ).
thf(2,negated_conjecture,
( ( dsetconstrI
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
=> ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ( ~ ( in @ SY2 @ SY1 )
=> ( in @ SY2
@ ( dsetconstr @ SY0
@ ^ [SY5: $i] :
~ ( in @ SY5 @ SY1 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrI,setminus]) ).
thf(4,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ( ~ ( in @ SY2 @ SY1 )
=> ( in @ SY2
@ ( dsetconstr @ SY0
@ ^ [SY5: $i] :
~ ( in @ SY5 @ SY1 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ( ~ ( in @ SY2 @ SY1 )
=> ( in @ SY2
@ ( dsetconstr @ SY0
@ ^ [SY5: $i] :
~ ( in @ SY5 @ SY1 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2 @ SY0 )
=> ( ~ ( in @ SY2 @ SY1 )
=> ( in @ SY2
@ ( dsetconstr @ SY0
@ ^ [SY5: $i] :
~ ( in @ SY5 @ SY1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ~ ( in @ SX2 @ SX1 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] :
~ ( in @ SX3 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,dsetconstrI,setminus]) ).
thf(10,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( SX1 @ SX2 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,dsetconstrI,setminus]) ).
thf(11,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ~ ( in @ SX2 @ SX1 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] :
~ ( in @ SX3 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY14: $i > $o,SY15: $i] :
( ~ ( in @ SY15 @ SV1 )
| ~ ( SY14 @ SY15 )
| ( in @ SY15
@ ( dsetconstr @ SV1
@ ^ [SX3: $i] : ( SY14 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ! [SY17: $i,SY18: $i] :
( ~ ( in @ SY18 @ sK1_SX0 )
| ~ ~ ( in @ SY18 @ SY17 )
| ( in @ SY18
@ ( dsetconstr @ sK1_SX0
@ ^ [SX3: $i] :
~ ( in @ SX3 @ SY17 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(14,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ! [SY20: $i] :
( ~ ( in @ SY20 @ SV1 )
| ~ ( SV2 @ SY20 )
| ( in @ SY20
@ ( dsetconstr @ SV1
@ ^ [SY21: $i] : ( SV2 @ SY21 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SY22: $i] :
( ~ ( in @ SY22 @ sK1_SX0 )
| ~ ~ ( in @ SY22 @ sK2_SY17 )
| ( in @ SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(16,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ~ ( in @ SV3 @ SV1 )
| ~ ( SV2 @ SV3 )
| ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY21: $i] : ( SV2 @ SY21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( in @ sK3_SY22 @ sK1_SX0 )
| ~ ~ ( in @ sK3_SY22 @ sK2_SY17 )
| ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(18,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ( ~ ( in @ SV3 @ SV1 ) )
= $true )
| ( ( ~ ( SV2 @ SV3 )
| ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY21: $i] : ( SV2 @ SY21 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( in @ sK3_SY22 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( in @ sK3_SY22 @ sK2_SY17 )
| ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ( in @ SV3 @ SV1 )
= $false )
| ( ( ~ ( SV2 @ SV3 )
| ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY21: $i] : ( SV2 @ SY21 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( in @ sK3_SY22 @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ~ ( in @ sK3_SY22 @ sK2_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i,SV3: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV3 ) )
= $true )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY21: $i] : ( SV2 @ SY21 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ( in @ sK3_SY22 @ sK2_SY17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: $i,SV3: $i,SV2: $i > $o] :
( ( ( SV2 @ SV3 )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY21: $i] : ( SV2 @ SY21 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( in @ sK3_SY22 @ sK2_SY17 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
( ( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) )
= ( in @ sK3_SY22 @ sK1_SX0 ) )
= $false ),
inference(res,[status(thm)],[24,22]) ).
thf(30,plain,
( ( ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) )
= sK1_SX0 )
= $false ),
inference(extuni,[status(esa)],[29]) ).
thf(31,plain,
( ( ( in @ sK3_SY22 @ sK2_SY17 )
= ( in @ sK3_SY22 @ sK1_SX0 ) )
= $false ),
inference(res,[status(thm)],[28,22]) ).
thf(32,plain,
( ( sK2_SY17 = sK1_SX0 )
= $false ),
inference(extuni,[status(esa)],[31]) ).
thf(34,plain,
! [SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( SV6 @ SV5 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true )
| ( ( in @ SV5 @ SV4 )
= $false ) ),
inference(rename,[status(thm)],[27]) ).
thf(40,plain,
! [SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= ( in @ sK3_SY22 @ sK2_SY17 ) )
= $false )
| ( ( SV6 @ SV5 )
= $false )
| ( ( in @ SV5 @ SV4 )
= $false ) ),
inference(res,[status(thm)],[34,28]) ).
thf(41,plain,
! [SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) ) )
= $false )
| ( ( SV6 @ SV5 )
= $false )
| ( ( in @ SV5 @ SV4 )
= $false ) ),
inference(res,[status(thm)],[34,24]) ).
thf(42,plain,
! [SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( ( in @ SV5 @ SV4 )
= ( in @ sK3_SY22 @ sK1_SX0 ) )
= $false )
| ( ( SV6 @ SV5 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[34,22]) ).
thf(43,plain,
! [SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( ( SV6 @ SV5 )
= ( in @ sK3_SY22 @ sK1_SX0 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true )
| ( ( in @ SV5 @ SV4 )
= $false ) ),
inference(res,[status(thm)],[34,22]) ).
thf(44,plain,
! [SV4: $i] :
( ( ( in @ sK3_SY22 @ SV4 )
= $false )
| ( ( in @ sK3_SY22
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY22 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[43:[bind(SV5,$thf( sK3_SY22 )),bind(SV6,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(45,plain,
! [SV4: $i] :
( ( ( in @ sK3_SY22 @ SV4 )
= $false )
| ( ( in @ sK3_SY22
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[43:[bind(SV5,$thf( sK3_SY22 )),bind(SV6,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ))]]) ).
thf(46,plain,
! [SV4: $i] :
( ( ( in @ sK1_SX0 @ SV4 )
= $false )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( in @ sK3_SY22 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[43:[bind(SV5,$thf( sK1_SX0 )),bind(SV6,$thf( ^ [SX0: $i] : ( in @ sK3_SY22 @ SX0 ) ))]]) ).
thf(47,plain,
! [SV4: $i,SV5: $i] :
( ( ( in @ SV5 @ SV4 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( in @ sK3_SY22 @ sK1_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: $i] : ( in @ sK3_SY22 @ sK1_SX0 ) ))]]) ).
thf(48,plain,
! [SV10: $i > $i,SV9: $i > $i,SV4: $i,SV5: $i] :
( ( ( in @ SV5 @ SV4 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( in @ ( SV9 @ SX0 ) @ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV9 @ SV5 ) @ ( SV10 @ SV5 ) )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: $i] : ( in @ ( SV9 @ SX0 ) @ ( SV10 @ SX0 ) ) ))]]) ).
thf(49,plain,
! [SV10: $i > $i,SV9: $i > $i,SV4: $i,SV5: $i] :
( ( ( in @ SV5 @ SV4 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( in @ ( SV9 @ SX0 ) @ ( SV10 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV9 @ SV5 ) @ ( SV10 @ SV5 ) )
= $false )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[43:[bind(SV6,$thf( ^ [SX0: $i] : ( in @ ( SV9 @ SX0 ) @ ( SV10 @ SX0 ) ) ))]]) ).
thf(50,plain,
! [SV6: $i > $o] :
( ( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true )
| ( ( SV6 @ sK3_SY22 )
= $false ) ),
inference(extuni,[status(esa)],[42:[bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(51,plain,
! [SV33: $i > $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV33 @ SX0 @ SX1 ) ) @ SX0 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(52,plain,
! [SV33: $i > $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 ) )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 ) )
= $true ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV33 @ SX0 @ SX1 ) ) @ sK2_SY17 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(53,plain,
! [SV33: $i > $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV33 @ SX0 @ SX1 ) ) @ SX0 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(54,plain,
! [SV33: $i > $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 ) )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 ) )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV33 @ SX0 @ SX1 ) ) @ sK2_SY17 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(55,plain,
! [SV26: $i > $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ ( sK4_E @ ( SV26 @ sK3_SY22 ) ) @ sK3_SY22 ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( ( sK4_E
@ ( SV26
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ SX0 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ SX0 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(56,plain,
! [SV26: $i > $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ ( sK4_E @ ( SV26 @ sK3_SY22 ) ) @ sK2_SY17 ) )
= $false )
| ( ( ( sK4_E
@ ( SV26
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ sK2_SY17 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ sK2_SY17 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ sK2_SY17 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(57,plain,
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ sK3_SY22 @ sK3_SY22 ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) )
= sK2_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ SX0 @ SX0 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(58,plain,
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ sK3_SY22 @ sK2_SY17 ) )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ SX0 @ sK2_SY17 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(59,plain,
! [SV23: $i > $i,SV22: $i > $i] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ ( SV22 @ sK3_SY22 ) @ ( SV23 @ sK3_SY22 ) ) )
= $false )
| ( ( in
@ ( SV22
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) )
@ ( SV23
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) )
@ sK2_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(60,plain,
! [SV23: $i > $i,SV22: $i > $i] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ ( SV22 @ sK3_SY22 ) @ ( SV23 @ sK3_SY22 ) ) )
= $false )
| ( ( in
@ ( SV22
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) )
@ ( SV23
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) )
@ sK2_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(61,plain,
! [SV19: $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( SV19 @ sK3_SY22 ) )
= $false )
| ( ( ~ ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 ) )
= $true ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( SV19 @ SX0 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(62,plain,
! [SV19: $i > $o] :
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( SV19 @ sK3_SY22 ) )
= $false )
| ( ( ~ ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 ) )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV6,$thf( ^ [SX0: $i] : ~ ( SV19 @ SX0 ) )),bind(SV4,$thf( sK1_SX0 )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(63,plain,
! [SV6: $i > $o,SV4: $i] :
( ( ( in @ sK3_SY22 @ SV4 )
= $false )
| ( ( SV6 @ sK3_SY22 )
= $false )
| ( ( ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY17 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[41:[bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(64,plain,
! [SV6: $i > $o,SV4: $i] :
( ( ( in @ sK3_SY22 @ SV4 )
= $false )
| ( ( SV6 @ sK3_SY22 )
= $false )
| ( ( ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) )
= sK2_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[40:[bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(67,plain,
! [SV19: $i > $o] :
( ( ( SV19 @ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(68,plain,
! [SV19: $i > $o] :
( ( ( SV19 @ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(69,plain,
! [SV23: $i > $i,SV22: $i > $i] :
( ( ( in @ ( SV22 @ sK3_SY22 ) @ ( SV23 @ sK3_SY22 ) )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in
@ ( SV22
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) )
@ ( SV23
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) )
@ sK2_SY17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(70,plain,
! [SV23: $i > $i,SV22: $i > $i] :
( ( ( in @ ( SV22 @ sK3_SY22 ) @ ( SV23 @ sK3_SY22 ) )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in
@ ( SV22
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) )
@ ( SV23
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV22 @ SX0 ) @ ( SV23 @ SX0 ) ) )
@ sK2_SY17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(71,plain,
( ( ( in @ sK3_SY22 @ sK2_SY17 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(72,plain,
( ( ( in @ sK3_SY22 @ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) )
= sK2_SY17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(73,plain,
! [SV26: $i > $i > $o] :
( ( ( in @ ( sK4_E @ ( SV26 @ sK3_SY22 ) ) @ sK2_SY17 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK4_E
@ ( SV26
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ sK2_SY17 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ sK2_SY17 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(74,plain,
! [SV26: $i > $i > $o] :
( ( ( in @ ( sK4_E @ ( SV26 @ sK3_SY22 ) ) @ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( ( sK4_E
@ ( SV26
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ SX0 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV26 @ SX0 ) ) @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(75,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(76,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(77,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(78,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( ~ ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(79,plain,
! [SV19: $i > $o] :
( ( ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( SV19 @ sK3_SY22 )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(80,plain,
! [SV19: $i > $o] :
( ( ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( SV19 @ sK3_SY22 )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(81,plain,
! [SV33: $i > $i > $o] :
( ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(82,plain,
! [SV33: $i > $i > $o] :
( ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
! [SV33: $i > $i > $o] :
( ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(84,plain,
! [SV33: $i > $i > $o] :
( ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV19: $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( SV19 @ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(86,plain,
! [SV19: $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) )
@ sK2_SY17 )
= $false )
| ( ( SV19 @ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( SV19
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV19 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(88,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(89,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY17
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY17 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK2_SY17 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ sK2_SY17 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY17
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV33: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV33 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV33 @ sK3_SY22 @ SX0 ) )
@ sK3_SY22 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY17 )
= $false )
| ( ( SV33
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV33 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV59: $i] :
( ( ( in @ sK3_SY22 @ SV59 )
= $false )
| ( ( in @ sK3_SY22
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ) ),
inference(rename,[status(thm)],[45]) ).
thf(96,plain,
! [SV59: $i,SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( ( in @ sK3_SY22
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ SV5 @ SV4 ) )
= $false )
| ( ( in @ sK3_SY22 @ SV59 )
= $false )
| ( ( SV6 @ SV5 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[93,34]) ).
thf(97,plain,
! [SV59: $i,SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( ( in @ sK3_SY22 @ SV59 )
= ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SY22
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true )
| ( ( SV6 @ SV5 )
= $false )
| ( ( in @ SV5 @ SV4 )
= $false ) ),
inference(res,[status(thm)],[93,34]) ).
thf(101,plain,
! [SV59: $i] :
( ( ( ( in @ sK3_SY22
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY22 @ sK2_SY17 ) )
= $false )
| ( ( in @ sK3_SY22 @ SV59 )
= $false ) ),
inference(res,[status(thm)],[93,28]) ).
thf(102,plain,
! [SV59: $i] :
( ( ( ( in @ sK3_SY22
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) ) )
= $false )
| ( ( in @ sK3_SY22 @ SV59 )
= $false ) ),
inference(res,[status(thm)],[93,24]) ).
thf(103,plain,
! [SV59: $i] :
( ( ( ( in @ sK3_SY22 @ SV59 )
= ( in @ sK3_SY22 @ sK1_SX0 ) )
= $false )
| ( ( in @ sK3_SY22
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[93,22]) ).
thf(104,plain,
( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[103:[bind(SV59,$thf( sK1_SX0 ))]]) ).
thf(105,plain,
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in @ sK6_E @ sK1_SX0 )
= $true )
| ( ( ~ ( in @ sK6_E @ sK2_SY17 ) )
= $true ) ),
inference(extuni,[status(esa)],[102:[bind(SV59,$thf( sK1_SX0 ))]]) ).
thf(106,plain,
( ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false )
| ( ( in @ sK6_E @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ sK6_E @ sK2_SY17 ) )
= $false ) ),
inference(extuni,[status(esa)],[102:[bind(SV59,$thf( sK1_SX0 ))]]) ).
thf(107,plain,
! [SV59: $i] :
( ( ( in @ sK3_SY22 @ SV59 )
= $false )
| ( ( ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[102]) ).
thf(108,plain,
! [SV59: $i] :
( ( ( in @ sK3_SY22 @ SV59 )
= $false )
| ( ( ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )
= sK2_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[101]) ).
thf(109,plain,
! [SV6: $i > $o,SV4: $i] :
( ( ( in @ sK3_SY22 @ SV4 )
= $false )
| ( ( SV6 @ sK3_SY22 )
= $false )
| ( ( in @ sK3_SY22
@ ( dsetconstr
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) )
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[97:[bind(SV59,$thf( dsetconstr @ SV4 @ ^ [SX0: $i] : ( SV6 @ SX0 ) )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(110,plain,
! [SV6: $i > $o,SV59: $i] :
( ( ( in @ sK3_SY22
@ ( dsetconstr
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true )
| ( ( SV6 @ sK3_SY22 )
= $false )
| ( ( in @ sK3_SY22 @ SV59 )
= $false ) ),
inference(extuni,[status(esa)],[96:[bind(SV4,$thf( dsetconstr @ SV59 @ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(111,plain,
( ( ( in @ sK6_E @ sK2_SY17 )
= $true )
| ( ( in @ sK6_E @ sK1_SX0 )
= $false )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(112,plain,
( ( ( in @ sK6_E @ sK2_SY17 )
= $false )
| ( ( in @ sK6_E @ sK1_SX0 )
= $true )
| ( ( in @ sK3_SY22 @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(113,plain,
! [SV59: $i] :
( ( ( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY22 @ SV59 ) )
= $false )
| ( ( in @ sK3_SY22
@ ( dsetconstr @ SV59
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[104,93]) ).
thf(114,plain,
! [SV4: $i,SV5: $i,SV6: $i > $o] :
( ( ( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ SV5 @ SV4 ) )
= $false )
| ( ( SV6 @ SV5 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV4
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[104,34]) ).
thf(118,plain,
( ( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY22 @ sK2_SY17 ) )
= $false ),
inference(res,[status(thm)],[104,28]) ).
thf(119,plain,
( ( ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY22
@ ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) ) )
= $false ),
inference(res,[status(thm)],[104,24]) ).
thf(120,plain,
( ( ( in @ sK7_E @ sK1_SX0 )
= $true )
| ( ( ~ ( in @ sK7_E @ sK2_SY17 ) )
= $true ) ),
inference(extuni,[status(esa)],[119]) ).
thf(121,plain,
( ( ( in @ sK7_E @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ sK7_E @ sK2_SY17 ) )
= $false ) ),
inference(extuni,[status(esa)],[119]) ).
thf(122,plain,
( ( ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY23: $i] :
~ ( in @ SY23 @ sK2_SY17 ) ) )
= $false ),
inference(extuni,[status(esa)],[119]) ).
thf(123,plain,
( ( ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )
= sK2_SY17 )
= $false ),
inference(extuni,[status(esa)],[118]) ).
thf(124,plain,
! [SV6: $i > $o] :
( ( ( in @ sK3_SY22
@ ( dsetconstr
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )
@ ^ [SX0: $i] : ( SV6 @ SX0 ) ) )
= $true )
| ( ( SV6 @ sK3_SY22 )
= $false ) ),
inference(extuni,[status(esa)],[114:[bind(SV4,$thf( dsetconstr @ sK1_SX0 @ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )),bind(SV5,$thf( sK3_SY22 ))]]) ).
thf(125,plain,
( ( in @ sK3_SY22
@ ( dsetconstr
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) )
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ),
inference(extuni,[status(esa)],[113:[bind(SV59,$thf( dsetconstr @ sK1_SX0 @ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ))]]) ).
thf(126,plain,
( ( ( in @ sK7_E @ sK2_SY17 )
= $true )
| ( ( in @ sK7_E @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(127,plain,
( ( ( in @ sK7_E @ sK2_SY17 )
= $false )
| ( ( in @ sK7_E @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(132,plain,
( ( ( in @ sK8_E @ sK1_SX0 )
= $true )
| ( ( ~ ( in @ sK8_E @ sK2_SY17 ) )
= $true ) ),
inference(extuni,[status(esa)],[122]) ).
thf(133,plain,
( ( ( in @ sK8_E @ sK1_SX0 )
= $false )
| ( ( ~ ( in @ sK8_E @ sK2_SY17 ) )
= $false ) ),
inference(extuni,[status(esa)],[122]) ).
thf(134,plain,
( ( ( in @ sK8_E @ sK2_SY17 )
= $true )
| ( ( in @ sK8_E @ sK1_SX0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(135,plain,
( ( ( in @ sK8_E @ sK2_SY17 )
= $false )
| ( ( in @ sK8_E @ sK1_SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(136,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,135,134,127,126,125,124,123,122,112,111,110,109,108,107,104,93,90,89,88,87,86,85,74,73,72,71,70,69,64,63,50,49,48,47,46,44,34,32,30,28,24]) ).
thf(137,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU601^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Oct 6 15:32:13 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/0.42
% 1.00/0.42 No.of.Axioms: 0
% 1.00/0.42
% 1.00/0.42 Length.of.Defs: 397
% 1.00/0.42
% 1.00/0.42 Contains.Choice.Funs: false
% 1.00/0.42 ...
% 1.00/0.42
% 1.00/0.42 ********************************
% 1.00/0.42 * All subproblems solved! *
% 1.00/0.42 ********************************
% 1.00/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:136,loop_count:10,foatp_calls:3,translation:fof_full)
% 1.00/0.42
% 1.00/0.42 %**** Beginning of derivation protocol ****
% 1.00/0.42 % SZS output start CNFRefutation
% See solution above
% 1.00/0.42
% 1.00/0.42 %**** End of derivation protocol ****
% 1.00/0.42 %**** no. of clauses in derivation: 115 ****
% 1.00/0.42 %**** clause counter: 136 ****
% 1.00/0.42
% 1.00/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:136,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------