%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU508^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 10:44:40 AM UTC 2026
% Result : Theorem 2.73s 0.70s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 285 ( 36 unt; 0 typ; 2 def)
% Number of atoms : 3083 ( 969 equ; 0 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 5097 ( 241 ~; 671 |; 0 &;4155 @)
% ( 6 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 335 ( 335 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 53 usr; 26 con; 0-6 aty)
% Number of variables : 1283 ( 679 ^; 604 !; 0 ?;1283 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrER,type,
dsetconstrER: $o ).
thf(tp_dsetconstrI,type,
dsetconstrI: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK10_E,type,
sK10_E: $i ).
thf(tp_sK11_E,type,
sK11_E: ( $i > $o ) > $i ).
thf(tp_sK12_E,type,
sK12_E: ( $i > $o ) > $i ).
thf(tp_sK13_E,type,
sK13_E: ( $i > $i > $o ) > $i ).
thf(tp_sK14_E,type,
sK14_E: $i ).
thf(tp_sK15_E,type,
sK15_E: ( $i > $i > $i > $o ) > $i ).
thf(tp_sK16_E,type,
sK16_E: ( $i > $o ) > $i ).
thf(tp_sK17_E,type,
sK17_E: ( $i > $i > $o ) > $i ).
thf(tp_sK18_E,type,
sK18_E: $i ).
thf(tp_sK19_E,type,
sK19_E: ( $i > $i > $i > $o ) > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_E,type,
sK20_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK21_E,type,
sK21_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK22_E,type,
sK22_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK23_E,type,
sK23_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK24_E,type,
sK24_E: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK25_E,type,
sK25_E: $i ).
thf(tp_sK26_E,type,
sK26_E: $i ).
thf(tp_sK27_E,type,
sK27_E: ( $i > $o ) > $i ).
thf(tp_sK28_E,type,
sK28_E: $i ).
thf(tp_sK29_E,type,
sK29_E: $i ).
thf(tp_sK2_SY26,type,
sK2_SY26: $i > $o ).
thf(tp_sK30_E,type,
sK30_E: $i ).
thf(tp_sK31_E,type,
sK31_E: $i ).
thf(tp_sK32_E,type,
sK32_E: $i ).
thf(tp_sK33_E,type,
sK33_E: ( $i > $o ) > $i ).
thf(tp_sK34_E,type,
sK34_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK35_E,type,
sK35_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK36_E,type,
sK36_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK37_E,type,
sK37_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK38_E,type,
sK38_E: ( $i > $o ) > $i ).
thf(tp_sK39_E,type,
sK39_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK3_SY32,type,
sK3_SY32: $i ).
thf(tp_sK40_E,type,
sK40_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK41_E,type,
sK41_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK42_E,type,
sK42_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK43_E,type,
sK43_E: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK44_E,type,
sK44_E: ( $i > $i ) > ( $i > $i ) > $i > ( $i > $o ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK45_E,type,
sK45_E: $i ).
thf(tp_sK46_E,type,
sK46_E: $i ).
thf(tp_sK47_E,type,
sK47_E: $i ).
thf(tp_sK48_E,type,
sK48_E: $i ).
thf(tp_sK49_E,type,
sK49_E: $i > ( $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: $i ).
thf(tp_sK5_E,type,
sK5_E: $i ).
thf(tp_sK6_E,type,
sK6_E: $i ).
thf(tp_sK7_E,type,
sK7_E: $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK9_E,type,
sK9_E: $i ).
thf(dsetconstrER,definition,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER) ).
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/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
thf(1,conjecture,
( dsetconstrI
=> ( dsetconstrER
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setbeta) ).
thf(2,negated_conjecture,
( ( dsetconstrI
=> ( dsetconstrER
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) )
= $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 ) ) ) ) )
=> ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) )
=> ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrER,dsetconstrI]) ).
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,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,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(10,plain,
( ( ~ ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
<=> ( Xphi @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,dsetconstrER,dsetconstrI]) ).
thf(12,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)],[9,dsetconstrER,dsetconstrI]) ).
thf(13,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( ~ ( ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( SX1 @ SX2 ) )
| ~ ( ~ ( SX1 @ SX2 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,dsetconstrER,dsetconstrI]) ).
thf(14,plain,
! [SV1: $i] :
( ( ! [SY16: $i > $o,SY17: $i] :
( ~ ( in @ SY17
@ ( dsetconstr @ SV1
@ ^ [SX3: $i] : ( SY16 @ SX3 ) ) )
| ( SY16 @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
! [SV2: $i] :
( ( ! [SY19: $i > $o,SY20: $i] :
( ~ ( in @ SY20 @ SV2 )
| ~ ( SY19 @ SY20 )
| ( in @ SY20
@ ( dsetconstr @ SV2
@ ^ [SX3: $i] : ( SY19 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( ! [SX0: $i,SX1: $i > $o,SX2: $i] :
( ~ ( in @ SX2 @ SX0 )
| ~ ( ~ ( ~ ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) )
| ( SX1 @ SX2 ) )
| ~ ( ~ ( SX1 @ SX2 )
| ( in @ SX2
@ ( dsetconstr @ SX0
@ ^ [SX3: $i] : ( SX1 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV3: $i > $o,SV1: $i] :
( ( ! [SY22: $i] :
( ~ ( in @ SY22
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) )
| ( SV3 @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV4: $i > $o,SV2: $i] :
( ( ! [SY24: $i] :
( ~ ( in @ SY24 @ SV2 )
| ~ ( SV4 @ SY24 )
| ( in @ SY24
@ ( dsetconstr @ SV2
@ ^ [SY25: $i] : ( SV4 @ SY25 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SY26: $i > $o,SY27: $i] :
( ~ ( in @ SY27 @ sK1_SX0 )
| ~ ( ~ ( ~ ( in @ SY27
@ ( dsetconstr @ sK1_SX0
@ ^ [SX3: $i] : ( SY26 @ SX3 ) ) )
| ( SY26 @ SY27 ) )
| ~ ( ~ ( SY26 @ SY27 )
| ( in @ SY27
@ ( dsetconstr @ sK1_SX0
@ ^ [SX3: $i] : ( SY26 @ SX3 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(20,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) )
| ( SV3 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV4: $i > $o,SV2: $i,SV6: $i] :
( ( ~ ( in @ SV6 @ SV2 )
| ~ ( SV4 @ SV6 )
| ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY25: $i] : ( SV4 @ SY25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ! [SY32: $i] :
( ~ ( in @ SY32 @ sK1_SX0 )
| ~ ( ~ ( ~ ( in @ SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
| ( sK2_SY26 @ SY32 ) )
| ~ ( ~ ( sK2_SY26 @ SY32 )
| ( in @ SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[19]) ).
thf(23,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) ) )
= $true )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV4: $i > $o,SV2: $i,SV6: $i] :
( ( ( ~ ( in @ SV6 @ SV2 ) )
= $true )
| ( ( ~ ( SV4 @ SV6 )
| ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY25: $i] : ( SV4 @ SY25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( in @ sK3_SY32 @ sK1_SX0 )
| ~ ( ~ ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
| ( sK2_SY26 @ sK3_SY32 ) )
| ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(26,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV4: $i > $o,SV2: $i,SV6: $i] :
( ( ( in @ SV6 @ SV2 )
= $false )
| ( ( ~ ( SV4 @ SV6 )
| ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY25: $i] : ( SV4 @ SY25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ( ~ ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
| ( sK2_SY26 @ sK3_SY32 ) )
| ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV2: $i,SV6: $i,SV4: $i > $o] :
( ( ( ~ ( SV4 @ SV6 ) )
= $true )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY25: $i] : ( SV4 @ SY25 ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( in @ sK3_SY32 @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
| ( sK2_SY26 @ sK3_SY32 ) )
| ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: $i,SV6: $i,SV4: $i > $o] :
( ( ( SV4 @ SV6 )
= $false )
| ( ( in @ SV6
@ ( dsetconstr @ SV2
@ ^ [SY25: $i] : ( SV4 @ SY25 ) ) )
= $true )
| ( ( in @ SV6 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ~ ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
| ( sK2_SY26 @ sK3_SY32 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(35,plain,
( ( ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
| ( sK2_SY26 @ sK3_SY32 ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(36,plain,
( ( ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(37,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(38,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(39,plain,
( ( ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
( ( ( ~ ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(42,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(43,plain,
( ( ( ~ ( sK2_SY26 @ sK3_SY32 ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(44,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( SV3 @ SV5 )
= $true )
| ( ( ( SV3 @ SV5 )
= ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[26]) ).
thf(48,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= ( sK2_SY26 @ sK3_SY32 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[42]) ).
thf(49,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( ( sK2_SY26 @ sK3_SY32 )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[46]) ).
thf(51,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( ( SV3 @ SV5 )
= ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) ) ) )
= $false )
| ( ( SV3 @ SV5 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(52,plain,
( ( ( ~ ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
| ( sK2_SY26 @ sK3_SY32 ) )
| ~ ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
| ~ ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( ( ~ ( ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
| ~ ( ~ ( sK2_SY26 @ sK3_SY32 )
| ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[49]) ).
thf(59,plain,
( ( ( ~ ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
| ~ ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
( ( ( ~ ( ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(65,plain,
( ( ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
| ~ ( sK2_SY26 @ sK3_SY32 ) )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(66,plain,
( ( ( ( sK2_SY26 @ sK3_SY32 )
| ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(71,plain,
( ( ( ~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $true )
| ( ( ~ ( sK2_SY26 @ sK3_SY32 ) )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(72,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(76,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( ~ ( sK2_SY26 @ sK3_SY32 ) )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(79,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV1: $i,SV13: $i > $i,SV5: $i,SV12: $i > $i] :
( ( ( ~ ( in @ ( SV12 @ SV5 ) @ ( SV13 @ SV5 ) ) )
= $true )
| ( ( in @ ( SV12 @ SV5 ) @ ( SV13 @ SV5 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV12 @ SX0 ) @ ( SV13 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[51:[bind(SV3,$thf( ^ [SX0: $i] : ~ ( in @ ( SV12 @ SX0 ) @ ( SV13 @ SX0 ) ) ))]]) ).
thf(84,plain,
! [SV1: $i,SV5: $i,SV9: $i > $o] :
( ( ( ~ ( SV9 @ SV5 ) )
= $true )
| ( ( ~ ( SV9 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[51:[bind(SV3,$thf( ^ [SX0: $i] : ~ ( SV9 @ SX0 ) ))]]) ).
thf(87,plain,
! [SV1: $i,SV5: $i,SV9: $i > $o] :
( ( ( SV9 @ SV5 )
= $false )
| ( ( ~ ( SV9 @ SV5 ) )
= $true )
| ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV1: $i,SV13: $i > $i,SV5: $i,SV12: $i > $i] :
( ( ( in @ ( SV12 @ SV5 ) @ ( SV13 @ SV5 ) )
= $false )
| ( ( in @ ( SV12 @ SV5 ) @ ( SV13 @ SV5 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV12 @ SX0 ) @ ( SV13 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(91,plain,
! [SV1: $i,SV5: $i,SV9: $i > $o] :
( ( ( SV9 @ SV5 )
= $false )
| ( ( SV9 @ SV5 )
= $false )
| ( ( ~ ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV9: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) ) )
= $false )
| ( ( SV9 @ SV5 )
= $false )
| ( ( SV9 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV9: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV9 @ SX0 ) ) )
= $false )
| ( ( SV9 @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[93]) ).
thf(96,plain,
! [SV1: $i,SV13: $i > $i,SV5: $i,SV12: $i > $i] :
( ( ( in @ ( SV12 @ SV5 ) @ ( SV13 @ SV5 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV12 @ SX0 ) @ ( SV13 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[88]) ).
thf(97,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(sim,[status(thm)],[79]) ).
thf(98,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(sim,[status(thm)],[72]) ).
thf(99,plain,
! [SV14: $i > $o,SV15: $i,SV16: $i] :
( ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(rename,[status(thm)],[26]) ).
thf(102,plain,
! [SV14: $i > $o,SV15: $i,SV16: $i] :
( ( ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(res,[status(thm)],[99,31]) ).
thf(103,plain,
! [SV14: $i > $o,SV15: $i,SV16: $i] :
( ( ( SV14 @ SV16 )
= $true )
| ( ( ( SV14 @ SV16 )
= ( ~ ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[99]) ).
thf(104,plain,
! [SV15: $i,SV14: $i > $o] :
( ( ( SV14 @ sK3_SY32 )
= $true )
| ( ( ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[102:[bind(SV16,$thf( sK3_SY32 ))]]) ).
thf(108,plain,
! [SV15: $i,SV27: $i > $i,SV16: $i,SV26: $i > $i] :
( ( ( in @ ( SV26 @ SV16 ) @ ( SV27 @ SV16 ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( in @ ( SV26 @ SX0 ) @ ( SV27 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in @ ( SV26 @ SV16 ) @ ( SV27 @ SV16 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[103:[bind(SV14,$thf( ^ [SX0: $i] : ~ ( in @ ( SV26 @ SX0 ) @ ( SV27 @ SX0 ) ) ))]]) ).
thf(109,plain,
! [SV15: $i,SV16: $i,SV23: $i > $o] :
( ( ( ~ ( SV23 @ SV16 ) )
= $true )
| ( ( ~ ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV23 @ SV16 ) )
= $true ) ),
inference(extuni,[status(esa)],[103:[bind(SV14,$thf( ^ [SX0: $i] : ~ ( SV23 @ SX0 ) ))]]) ).
thf(112,plain,
! [SV15: $i,SV16: $i,SV23: $i > $o] :
( ( ( SV23 @ SV16 )
= $false )
| ( ( ~ ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV23 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(113,plain,
! [SV15: $i,SV27: $i > $i,SV16: $i,SV26: $i > $i] :
( ( ( in @ ( SV26 @ SV16 ) @ ( SV27 @ SV16 ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( in @ ( SV26 @ SX0 ) @ ( SV27 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV26 @ SV16 ) @ ( SV27 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(116,plain,
! [SV23: $i > $o,SV15: $i,SV16: $i] :
( ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) )
= $false )
| ( ( SV23 @ SV16 )
= $false )
| ( ( ~ ( SV23 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(118,plain,
! [SV15: $i,SV16: $i,SV23: $i > $o] :
( ( ( SV23 @ SV16 )
= $false )
| ( ( SV23 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(119,plain,
! [SV15: $i,SV16: $i,SV23: $i > $o] :
( ( ( SV23 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( SV23 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[118]) ).
thf(120,plain,
! [SV15: $i,SV27: $i > $i,SV16: $i,SV26: $i > $i] :
( ( ( in @ ( SV26 @ SV16 ) @ ( SV27 @ SV16 ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( in @ ( SV26 @ SX0 ) @ ( SV27 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[113]) ).
thf(124,plain,
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(res,[status(thm)],[42,31]) ).
thf(126,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[124]) ).
thf(128,plain,
! [SV14: $i > $o,SV15: $i,SV16: $i] :
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(res,[status(thm)],[44,99]) ).
thf(129,plain,
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(res,[status(thm)],[44,44]) ).
thf(130,plain,
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(res,[status(thm)],[44,44]) ).
thf(132,plain,
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(res,[status(thm)],[44,42]) ).
thf(133,plain,
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(res,[status(thm)],[44,31]) ).
thf(134,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[133]) ).
thf(135,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[132]) ).
thf(136,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[132]) ).
thf(137,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[130]) ).
thf(138,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[130]) ).
thf(139,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[129]) ).
thf(140,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[129]) ).
thf(141,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( sK2_SY26 @ ( sK11_E @ SV14 ) )
= $true )
| ( ( SV14 @ ( sK11_E @ SV14 ) )
= $true ) ),
inference(extuni,[status(esa)],[128:[bind(SV15,$thf( sK1_SX0 )),bind(SV16,$thf( sK3_SY32 ))]]) ).
thf(142,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( sK2_SY26 @ ( sK11_E @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK11_E @ SV14 ) )
= $false ) ),
inference(extuni,[status(esa)],[128:[bind(SV15,$thf( sK1_SX0 )),bind(SV16,$thf( sK3_SY32 ))]]) ).
thf(143,plain,
! [SV15: $i,SV14: $i > $o] :
( ( ( SV14 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
= ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[128:[bind(SV16,$thf( sK3_SY32 ))]]) ).
thf(144,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true )
| ( ( in @ SV29 @ SV28 )
= $false ) ),
inference(rename,[status(thm)],[33]) ).
thf(151,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o,SV14: $i > $o,SV15: $i,SV16: $i] :
( ( ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) ) )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(res,[status(thm)],[144,99]) ).
thf(152,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( in @ SV29 @ SV28 )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(res,[status(thm)],[144,44]) ).
thf(153,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( SV30 @ SV29 )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(res,[status(thm)],[144,44]) ).
thf(154,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(res,[status(thm)],[144,44]) ).
thf(156,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(res,[status(thm)],[144,42]) ).
thf(157,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( in @ SV29 @ SV28 )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[144,31]) ).
thf(158,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( SV30 @ SV29 )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true )
| ( ( in @ SV29 @ SV28 )
= $false ) ),
inference(res,[status(thm)],[144,31]) ).
thf(159,plain,
! [SV28: $i] :
( ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[158:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(160,plain,
! [SV28: $i] :
( ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ))]]) ).
thf(161,plain,
! [SV28: $i] :
( ( ( in @ sK1_SX0 @ SV28 )
= $false )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ sK3_SY32 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV29,$thf( sK1_SX0 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ SX0 ) ))]]) ).
thf(162,plain,
! [SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ sK3_SY32 @ sK1_SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ sK1_SX0 ) ))]]) ).
thf(163,plain,
! [SV34: $i > $i,SV33: $i > $i,SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ ( SV33 @ SX0 ) @ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV33 @ SV29 ) @ ( SV34 @ SV29 ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV30,$thf( ^ [SX0: $i] : ( in @ ( SV33 @ SX0 ) @ ( SV34 @ SX0 ) ) ))]]) ).
thf(164,plain,
! [SV34: $i > $i,SV33: $i > $i,SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ ( SV33 @ SX0 ) @ ( SV34 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV33 @ SV29 ) @ ( SV34 @ SV29 ) )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[158:[bind(SV30,$thf( ^ [SX0: $i] : ( in @ ( SV33 @ SX0 ) @ ( SV34 @ SX0 ) ) ))]]) ).
thf(165,plain,
! [SV30: $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true )
| ( ( SV30 @ sK3_SY32 )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(166,plain,
! [SV63: $i > $i > $i > $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV63 @ sK3_SY32 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV63
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV63
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX3: $i] : ( sK2_SY26 @ ( SV63 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] : ( sK2_SY26 @ ( SV63 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(167,plain,
! [SV63: $i > $i > $i > $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV63 @ sK3_SY32 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV63
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK15_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV63
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX3: $i] : ( sK2_SY26 @ ( SV63 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( sK15_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] : ( sK2_SY26 @ ( SV63 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX2: $i] : ( sK2_SY26 @ ( SV63 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(168,plain,
! [SV56: $i > $i > $i > $o] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV56 @ sK3_SY32 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK12_E
@ ( SV56
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ( SV56
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV56 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV56 @ SX0 @ SX1 ) ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(169,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ SX1 ) )
= ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX1 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(170,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( ( sK12_E
@ ^ [SY55: $i] : ( sK2_SY26 @ sK14_E ) )
= ( sK13_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(171,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SY55: $i] : ( sK2_SY26 @ sK14_E ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(172,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SY55: $i] : ( sK2_SY26 @ sK14_E ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(173,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )
= ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(174,plain,
! [SV51: $i > $i > $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV51 @ sK3_SY32 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV51
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV51
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV51 @ SX0 @ SX1 ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(175,plain,
! [SV51: $i > $i > $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV51 @ sK3_SY32 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV51
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK12_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
@ ( sK13_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV51 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV51
@ ( sK13_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV51 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV51 @ SX0 @ SX1 ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(176,plain,
! [SV46: $i > $i > $o] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ ( sK12_E @ ( SV46 @ sK3_SY32 ) ) )
= $false )
| ( ( ( sK12_E
@ ( SV46
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV46 @ SX0 ) ) ) ) ) )
= ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV46 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK12_E @ ( SV46 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(177,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(178,plain,
! [SV43: $i > $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ ( SV43 @ sK3_SY32 ) )
= $false )
| ( ( sK2_SY26
@ ( SV43
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV43 @ SX0 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV43 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( SV43 @ SX0 ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(179,plain,
! [SV43: $i > $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ ( SV43 @ sK3_SY32 ) )
= $false )
| ( ( sK2_SY26
@ ( SV43
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV43 @ SX0 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK12_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV43 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( SV43 @ SX0 ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(180,plain,
! [SV30: $i > $o,SV28: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(181,plain,
! [SV93: $i > $i > $i > $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV93 @ sK3_SY32 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV93
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV93
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX3: $i] : ( sK2_SY26 @ ( SV93 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( sK19_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] : ( sK2_SY26 @ ( SV93 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(182,plain,
! [SV93: $i > $i > $i > $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV93 @ sK3_SY32 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV93
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) )
@ ( sK19_E
@ ^ [SX0: $i,SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV93
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX3: $i] : ( sK2_SY26 @ ( SV93 @ SX1 @ SX2 @ SX3 ) ) ) ) )
@ ( sK19_E
@ ^ [SX1: $i,SX2: $i,SX3: $i] : ( sK2_SY26 @ ( SV93 @ SX1 @ SX2 @ SX3 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX2: $i] : ( sK2_SY26 @ ( SV93 @ SX0 @ SX1 @ SX2 ) ) ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(183,plain,
! [SV86: $i > $i > $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV86 @ sK3_SY32 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK16_E
@ ( SV86
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
= ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ( SV86
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV86 @ SX1 @ SX2 ) ) ) )
@ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV86 @ SX0 @ SX1 ) ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(184,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( ( sK17_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ SX1 ) )
= ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX1 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(185,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SY77: $i] : ( sK2_SY26 @ sK18_E ) )
= ( sK17_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(186,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SY77: $i] : ( sK2_SY26 @ sK18_E ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(187,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SY77: $i] : ( sK2_SY26 @ sK18_E ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(188,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ) )
= $false )
| ( ( ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )
= ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ SX1 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(189,plain,
! [SV81: $i > $i > $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV81 @ sK3_SY32 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV81
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV81 @ SX0 @ SX1 ) ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV81 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV81
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV81 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV81 @ SX0 @ SX1 ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(190,plain,
! [SV81: $i > $i > $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV81 @ sK3_SY32 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV81
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( sK16_E
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV81 @ SX0 @ SX1 ) ) ) ) )
@ ( sK17_E
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV81 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] :
( sK2_SY26
@ ( SV81
@ ( sK17_E
@ ^ [SX1: $i,SX2: $i] : ( sK2_SY26 @ ( SV81 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV81 @ SX0 @ SX1 ) ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(191,plain,
! [SV76: $i > $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ ( sK16_E @ ( SV76 @ sK3_SY32 ) ) )
= $false )
| ( ( ( sK16_E
@ ( SV76
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV76 @ SX0 ) ) ) ) ) )
= ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV76 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( sK16_E @ ( SV76 @ SX0 ) ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(192,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(193,plain,
! [SV73: $i > $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ ( SV73 @ sK3_SY32 ) )
= $false )
| ( ( sK2_SY26
@ ( SV73
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV73 @ SX0 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV73 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( SV73 @ SX0 ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(194,plain,
! [SV73: $i > $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ ( SV73 @ sK3_SY32 ) )
= $false )
| ( ( sK2_SY26
@ ( SV73
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV73 @ SX0 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK16_E
@ ^ [SX0: $i] : ( sK2_SY26 @ ( SV73 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV30,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( SV73 @ SX0 ) ) )),bind(SV28,$thf( sK1_SX0 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(195,plain,
! [SV30: $i > $o,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(196,plain,
! [SV157: $i > $i > $i,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV157 @ sK3_SY32
@ ( sK23_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK23_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(197,plain,
! [SV157: $i > $i > $i,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV157 @ sK3_SY32
@ ( sK23_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK23_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV157 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(198,plain,
! [SV146: $i > $i > $i,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ SX0
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV146 @ sK3_SY32
@ ( sK22_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK22_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(199,plain,
! [SV146: $i > $i > $i,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ SX0
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV146 @ sK3_SY32
@ ( sK22_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK22_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV146 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(200,plain,
! [SV139: $i > $i > $o,SV138: $i > $i,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV138 @ sK3_SY32 ) @ ( SV139 @ sK3_SY32 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV138 @ SX0 ) @ ( SV139 @ SX0 ) ) ) ))]]) ).
thf(201,plain,
! [SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY32
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK3_SY32 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(202,plain,
! [SV129: $i > $i > $i,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK1_SX0 @ SV28 )
= $false )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ sK3_SY32
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV129 @ sK1_SX0
@ ( sK21_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK21_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK1_SX0 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(203,plain,
! [SV129: $i > $i > $i,SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK1_SX0 @ SV28 )
= $false )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ sK3_SY32
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV129 @ sK1_SX0
@ ( sK21_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK21_E @ SV28
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( sK1_SX0 )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV129 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(204,plain,
! [SV117: $i > $i > $i,SV28: $i,SV29: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV117 @ SV29
@ ( sK20_E @ SV28 @ SV29
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK20_E @ SV28 @ SV29
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(205,plain,
! [SV117: $i > $i > $i,SV28: $i,SV29: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] :
( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( SV117 @ SV29
@ ( sK20_E @ SV28 @ SV29
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK20_E @ SV28 @ SV29
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV117 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(206,plain,
! [SV110: $i > $i > $o,SV109: $i > $i,SV28: $i,SV29: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ ( SV109 @ SX0 ) @ ( SV110 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV109 @ SV29 ) @ ( SV110 @ SV29 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ ( SV109 @ SX0 ) @ ( SV110 @ SX0 ) ) ) ))]]) ).
thf(207,plain,
! [SV28: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
@ SV28 )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ sK3_SY32 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV29,$thf( dsetconstr @ sK1_SX0 @ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )),bind(SV30,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ SX0 ) ))]]) ).
thf(209,plain,
! [SV104: $i > $i,SV103: $i > $i,SV28: $i,SV29: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV103 @ SV29 ) @ ( SV104 @ SV29 ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV30,$thf( ^ [SX0: $i] : ( in @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ))]]) ).
thf(210,plain,
! [SV30: $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true )
| ( ( SV30 @ sK3_SY32 )
= $false ) ),
inference(extuni,[status(esa)],[152:[bind(SV28,$thf( dsetconstr @ sK1_SX0 @ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(211,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( SV14 @ SV16 )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV30 @ SV16 )
= $false )
| ( ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
= ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV28,$thf( SV15 )),bind(SV29,$thf( SV16 ))]]) ).
thf(212,plain,
! [SV15: $i,SV30: $i > $o,SV28: $i,SV16: $i,SV14: $i > $o] :
( ( ( SV14 @ SV16 )
= $true )
| ( ( in @ SV16 @ SV28 )
= $false )
| ( ( SV30 @ SV16 )
= $false )
| ( ( ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) )
= ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV29,$thf( SV16 ))]]) ).
thf(215,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( ~ ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
| ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
| ~ ( ~ ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
| ~ ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) ) )
= $false )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[211]) ).
thf(216,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
= ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
= $false )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[211]) ).
thf(217,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( ~ ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
| ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) ) )
= $false )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(218,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( ~ ( ~ ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
| ~ ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) ) )
= $false )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(219,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
| ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
= $true )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(220,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( ~ ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
| ~ ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
= $true )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(221,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
= $true )
| ( ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
= $true )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(222,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( ~ ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
= $true )
| ( ( ~ ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
= $true )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(223,plain,
! [SV14: $i > $o,SV16: $i,SV15: $i,SV30: $i > $o] :
( ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
= $false )
| ( ( ~ ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) ) )
= $true )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(224,plain,
! [SV30: $i > $o,SV16: $i,SV15: $i,SV14: $i > $o] :
( ( ( SV14 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
= $false )
| ( ( SV30 @ ( sK24_E @ SV15 @ SV16 @ SV14 @ SV30 ) )
= $false )
| ( ( SV30 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(225,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false ) ),
inference(sim,[status(thm)],[177]) ).
thf(226,plain,
! [SV104: $i > $i,SV103: $i > $i,SV28: $i,SV29: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( in @ ( SV103 @ SX0 ) @ ( SV104 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV103 @ SV29 ) @ ( SV104 @ SV29 ) )
= $false ) ),
inference(sim,[status(thm)],[209]) ).
thf(227,plain,
! [SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= ( in @ SV29 @ SV28 ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[46,144]) ).
thf(231,plain,
! [SV14: $i > $o,SV15: $i,SV16: $i] :
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( SV14 @ SV16 )
= $true ) ),
inference(res,[status(thm)],[46,99]) ).
thf(233,plain,
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(res,[status(thm)],[46,44]) ).
thf(236,plain,
( ( ( ( sK2_SY26 @ sK3_SY32 )
= ( sK2_SY26 @ sK3_SY32 ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(res,[status(thm)],[46,42]) ).
thf(242,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[236]) ).
thf(243,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[233]) ).
thf(244,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[233]) ).
thf(245,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ ( sK27_E @ SV14 ) )
= $true )
| ( ( SV14 @ ( sK27_E @ SV14 ) )
= $true ) ),
inference(extuni,[status(esa)],[231:[bind(SV15,$thf( sK1_SX0 )),bind(SV16,$thf( sK3_SY32 ))]]) ).
thf(246,plain,
! [SV14: $i > $o] :
( ( ( SV14 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ ( sK27_E @ SV14 ) )
= $false )
| ( ( SV14 @ ( sK27_E @ SV14 ) )
= $false ) ),
inference(extuni,[status(esa)],[231:[bind(SV15,$thf( sK1_SX0 )),bind(SV16,$thf( sK3_SY32 ))]]) ).
thf(247,plain,
! [SV15: $i,SV14: $i > $o] :
( ( ( SV14 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
= ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[231:[bind(SV16,$thf( sK3_SY32 ))]]) ).
thf(248,plain,
! [SV30: $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[227:[bind(SV28,$thf( dsetconstr @ sK1_SX0 @ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(250,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $false )
| ( ( SV171 @ SV173 )
= $false ) ),
inference(rename,[status(thm)],[95]) ).
thf(251,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i,SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( SV171 @ SV173 )
= ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false ) ),
inference(res,[status(thm)],[250,144]) ).
thf(252,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i,SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) ) )
= $false )
| ( ( SV171 @ SV173 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false ) ),
inference(res,[status(thm)],[250,144]) ).
thf(255,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( ( SV171 @ SV173 )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true ) ),
inference(res,[status(thm)],[250,46]) ).
thf(256,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( SV171 @ SV173 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true ) ),
inference(res,[status(thm)],[250,46]) ).
thf(257,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( ( SV171 @ SV173 )
= ( sK2_SY26 @ sK3_SY32 ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $true ) ),
inference(res,[status(thm)],[250,46]) ).
thf(259,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( ( SV171 @ SV173 )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(res,[status(thm)],[250,44]) ).
thf(260,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( SV171 @ SV173 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(res,[status(thm)],[250,44]) ).
thf(261,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( ( SV171 @ SV173 )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[250,31]) ).
thf(262,plain,
! [SV171: $i > $o,SV172: $i,SV173: $i] :
( ( ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) ) )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false )
| ( ( SV171 @ SV173 )
= $false ) ),
inference(res,[status(thm)],[250,31]) ).
thf(264,plain,
! [SV172: $i,SV171: $i > $o] :
( ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) )
= sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[262:[bind(SV173,$thf( sK3_SY32 ))]]) ).
thf(265,plain,
! [SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[261:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(266,plain,
! [SV172: $i] :
( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[261:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK1_SX0 ) ))]]) ).
thf(267,plain,
! [SV172: $i] :
( ( in @ sK1_SX0
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[261:[bind(SV173,$thf( sK1_SX0 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ SX0 ) ))]]) ).
thf(268,plain,
! [SV172: $i,SV173: $i] :
( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32 @ sK1_SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[261:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ sK1_SX0 ) ))]]) ).
thf(269,plain,
! [SV177: $i > $i,SV176: $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV176 @ SV173 ) @ ( SV177 @ SV173 ) )
= $true )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $true ) ),
inference(extuni,[status(esa)],[261:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ))]]) ).
thf(270,plain,
! [SV177: $i > $i,SV176: $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV176 @ SV173 ) @ ( SV177 @ SV173 ) )
= $false )
| ( ( in @ sK3_SY32 @ sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[261:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ))]]) ).
thf(271,plain,
! [SV171: $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( ~ ( SV171 @ ( sK33_E @ SV171 ) ) )
= $true )
| ( ( sK2_SY26 @ ( sK33_E @ SV171 ) )
= $true ) ),
inference(extuni,[status(esa)],[260:[bind(SV172,$thf( sK1_SX0 )),bind(SV173,$thf( sK3_SY32 ))]]) ).
thf(272,plain,
! [SV171: $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( ~ ( SV171 @ ( sK33_E @ SV171 ) ) )
= $false )
| ( ( sK2_SY26 @ ( sK33_E @ SV171 ) )
= $false ) ),
inference(extuni,[status(esa)],[260:[bind(SV172,$thf( sK1_SX0 )),bind(SV173,$thf( sK3_SY32 ))]]) ).
thf(273,plain,
! [SV172: $i,SV171: $i > $o] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[260:[bind(SV173,$thf( sK3_SY32 ))]]) ).
thf(274,plain,
! [SV240: $i > $i > $i,SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV240 @ sK3_SY32
@ ( sK37_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK37_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(275,plain,
! [SV240: $i > $i > $i,SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV240 @ sK3_SY32
@ ( sK37_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK37_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV240 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(276,plain,
! [SV229: $i > $i > $i,SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV229 @ sK3_SY32
@ ( sK36_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK36_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(277,plain,
! [SV229: $i > $i > $i,SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV229 @ sK3_SY32
@ ( sK36_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK36_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV229 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(278,plain,
! [SV222: $i > $i > $o,SV221: $i > $i,SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV221 @ SX0 ) @ ( SV222 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV221 @ sK3_SY32 ) @ ( SV222 @ sK3_SY32 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV221 @ SX0 ) @ ( SV222 @ SX0 ) ) ) ))]]) ).
thf(279,plain,
! [SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY32
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(280,plain,
! [SV212: $i > $i > $i,SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV212 @ sK1_SX0
@ ( sK35_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK35_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK1_SX0 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(281,plain,
! [SV212: $i > $i > $i,SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV212 @ sK1_SX0
@ ( sK35_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK35_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( sK1_SX0 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV212 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(282,plain,
! [SV200: $i > $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV200 @ SV173
@ ( sK34_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK34_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[259:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(283,plain,
! [SV200: $i > $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV200 @ SV173
@ ( sK34_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK34_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV200 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(284,plain,
! [SV193: $i > $i > $o,SV192: $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32 @ ( dsetconstr @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV192 @ SV173 ) @ ( SV193 @ SV173 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ ( SV192 @ SX0 ) @ ( SV193 @ SX0 ) ) ) ))]]) ).
thf(285,plain,
! [SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV173,$thf( dsetconstr @ sK1_SX0 @ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ SX0 ) ))]]) ).
thf(287,plain,
! [SV187: $i > $i,SV186: $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV186 @ SX0 ) @ ( SV187 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV186 @ SV173 ) @ ( SV187 @ SV173 ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[259:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV186 @ SX0 ) @ ( SV187 @ SX0 ) ) ))]]) ).
thf(288,plain,
! [SV172: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ))]]) ).
thf(289,plain,
! [SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( sK2_SY26 @ sK3_SY32 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV171,$thf( ^ [SX0: $i] : ( sK2_SY26 @ sK3_SY32 ) ))]]) ).
thf(290,plain,
! [SV249: $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( sK2_SY26 @ ( SV249 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY26 @ ( SV249 @ SV173 ) )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true ) ),
inference(extuni,[status(esa)],[257:[bind(SV171,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( SV249 @ SX0 ) ) ))]]) ).
thf(291,plain,
! [SV249: $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( sK2_SY26 @ ( SV249 @ SX0 ) ) ) )
= $false )
| ( ( sK2_SY26 @ ( SV249 @ SV173 ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $false ) ),
inference(extuni,[status(esa)],[257:[bind(SV171,$thf( ^ [SX0: $i] : ( sK2_SY26 @ ( SV249 @ SX0 ) ) ))]]) ).
thf(292,plain,
! [SV171: $i > $o] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( ~ ( SV171 @ ( sK38_E @ SV171 ) ) )
= $true )
| ( ( sK2_SY26 @ ( sK38_E @ SV171 ) )
= $true ) ),
inference(extuni,[status(esa)],[256:[bind(SV172,$thf( sK1_SX0 )),bind(SV173,$thf( sK3_SY32 ))]]) ).
thf(293,plain,
! [SV171: $i > $o] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( ~ ( SV171 @ ( sK38_E @ SV171 ) ) )
= $false )
| ( ( sK2_SY26 @ ( sK38_E @ SV171 ) )
= $false ) ),
inference(extuni,[status(esa)],[256:[bind(SV172,$thf( sK1_SX0 )),bind(SV173,$thf( sK3_SY32 ))]]) ).
thf(294,plain,
! [SV172: $i,SV171: $i > $o] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[256:[bind(SV173,$thf( sK3_SY32 ))]]) ).
thf(295,plain,
! [SV308: $i > $i > $i,SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV308 @ sK3_SY32
@ ( sK42_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK42_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(296,plain,
! [SV308: $i > $i > $i,SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV308 @ sK3_SY32
@ ( sK42_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK42_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK3_SY32 = sK1_SX0 )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV308 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(297,plain,
! [SV297: $i > $i > $i,SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV297 @ sK3_SY32
@ ( sK41_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK41_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(298,plain,
! [SV297: $i > $i > $i,SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV297 @ sK3_SY32
@ ( sK41_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK41_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV297 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(299,plain,
! [SV290: $i > $i > $o,SV289: $i > $i,SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV289 @ SX0 ) @ ( SV290 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV289 @ sK3_SY32 ) @ ( SV290 @ sK3_SY32 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV289 @ SX0 ) @ ( SV290 @ SX0 ) ) ) ))]]) ).
thf(300,plain,
! [SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY32
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK3_SY32 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(301,plain,
! [SV280: $i > $i > $i,SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV280 @ sK1_SX0
@ ( sK40_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK40_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK1_SX0 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(302,plain,
! [SV280: $i > $i > $i,SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ sK1_SX0
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV280 @ sK1_SX0
@ ( sK40_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK40_E @ SV172
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( sK1_SX0 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV280 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(303,plain,
! [SV268: $i > $i > $i,SV172: $i,SV173: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV268 @ SV173
@ ( sK39_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY26
@ ( sK39_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[255:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(304,plain,
! [SV268: $i > $i > $i,SV172: $i,SV173: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( SV268 @ SV173
@ ( sK39_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY26
@ ( sK39_E @ SV172 @ SV173
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ sK1_SX0 @ ^ [SX1: $i] : ( sK2_SY26 @ ( SV268 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(305,plain,
! [SV261: $i > $i > $o,SV260: $i > $i,SV172: $i,SV173: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32 @ ( dsetconstr @ ( SV260 @ SX0 ) @ ( SV261 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV260 @ SV173 ) @ ( SV261 @ SV173 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ ( dsetconstr @ ( SV260 @ SX0 ) @ ( SV261 @ SX0 ) ) ) ))]]) ).
thf(306,plain,
! [SV172: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ sK3_SY32 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV173,$thf( dsetconstr @ sK1_SX0 @ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ sK3_SY32 @ SX0 ) ))]]) ).
thf(307,plain,
! [SV255: $i > $i,SV254: $i > $i,SV172: $i,SV173: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV254 @ SX0 ) @ ( SV255 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV254 @ SV173 ) @ ( SV255 @ SV173 ) )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[255:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV254 @ SX0 ) @ ( SV255 @ SX0 ) ) ))]]) ).
thf(308,plain,
! [SV255: $i > $i,SV254: $i > $i,SV172: $i,SV173: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV254 @ SX0 ) @ ( SV255 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV254 @ SV173 ) @ ( SV255 @ SV173 ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[255:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV254 @ SX0 ) @ ( SV255 @ SX0 ) ) ))]]) ).
thf(309,plain,
! [SV171: $i > $o,SV30: $i > $o,SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( SV171 @ SV29 )
= $false )
| ( ( ~ ( SV171 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) ) )
= $true )
| ( ( SV30 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) )
= $true ) ),
inference(extuni,[status(esa)],[252:[bind(SV172,$thf( SV28 )),bind(SV173,$thf( SV29 ))]]) ).
thf(310,plain,
! [SV171: $i > $o,SV30: $i > $o,SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( SV171 @ SV29 )
= $false )
| ( ( ~ ( SV171 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) ) )
= $false )
| ( ( SV30 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) )
= $false ) ),
inference(extuni,[status(esa)],[252:[bind(SV172,$thf( SV28 )),bind(SV173,$thf( SV29 ))]]) ).
thf(311,plain,
! [SV172: $i,SV171: $i > $o,SV30: $i > $o,SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( SV171 @ SV29 )
= $false )
| ( ( ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( SV171 @ SX0 ) )
= ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[252:[bind(SV173,$thf( SV29 ))]]) ).
thf(312,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
= ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV28,$thf( SV321 @ SV173 )),bind(SV29,$thf( SV317 @ SV173 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ))]]) ).
thf(313,plain,
! [SV322: $i > $i > $o,SV321: $i > $i,SV172: $i,SV30: $i > $o,SV28: $i,SV173: $i,SV317: $i > $i] :
( ( ( in @ ( SV317 @ SV173 ) @ SV28 )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV321 @ SV173 ) @ ( SV322 @ SV173 ) )
= ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV29,$thf( SV317 @ SV173 )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ))]]) ).
thf(314,plain,
! [SV172: $i,SV30: $i > $o,SV28: $i,SV317: $i > $i] :
( ( ( in
@ ( SV317
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
@ SV28 )
= $false )
| ( ( SV30
@ ( SV317
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) ) )
= $false )
| ( ( in
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) )
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV173,$thf( dsetconstr @ SV28 @ ^ [SX0: $i] : ( SV30 @ SX0 ) )),bind(SV29,$thf( SV317 @ ( dsetconstr @ SV28 @ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )),bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV317 @ SX0 ) @ SX0 ) ))]]) ).
thf(315,plain,
! [SV318: $i > $i,SV317: $i > $i,SV172: $i,SV173: $i,SV30: $i > $o,SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( SV318 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV318 @ SV173 ) )
= $true )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[251:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV317 @ SX0 ) @ ( SV318 @ SX0 ) ) ))]]) ).
thf(316,plain,
! [SV318: $i > $i,SV317: $i > $i,SV172: $i,SV173: $i,SV30: $i > $o,SV28: $i,SV29: $i] :
( ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( SV318 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV318 @ SV173 ) )
= $false )
| ( ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[251:[bind(SV171,$thf( ^ [SX0: $i] : ( in @ ( SV317 @ SX0 ) @ ( SV318 @ SX0 ) ) ))]]) ).
thf(317,plain,
! [SV171: $i > $o] :
( ( ( SV171 @ ( sK33_E @ SV171 ) )
= $true )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( sK2_SY26 @ ( sK33_E @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(318,plain,
! [SV171: $i > $o] :
( ( ( SV171 @ ( sK33_E @ SV171 ) )
= $false )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( sK2_SY26 @ ( sK33_E @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(319,plain,
! [SV171: $i > $o] :
( ( ( SV171 @ ( sK38_E @ SV171 ) )
= $true )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ ( sK38_E @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(320,plain,
! [SV171: $i > $o] :
( ( ( SV171 @ ( sK38_E @ SV171 ) )
= $false )
| ( ( SV171 @ sK3_SY32 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ ( sK38_E @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(321,plain,
! [SV30: $i > $o,SV29: $i,SV28: $i,SV171: $i > $o] :
( ( ( SV171 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) )
= $true )
| ( ( SV171 @ SV29 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV30 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(322,plain,
! [SV30: $i > $o,SV29: $i,SV28: $i,SV171: $i > $o] :
( ( ( SV171 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) )
= $false )
| ( ( SV171 @ SV29 )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false )
| ( ( SV30 @ ( sK43_E @ SV28 @ SV29 @ SV30 @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(323,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( ~ ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
| ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
| ~ ( ~ ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
| ~ ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[312]) ).
thf(324,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
= ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[312]) ).
thf(325,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( ~ ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
| ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(326,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( ~ ( ~ ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
| ~ ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(327,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
| ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(328,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( ~ ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
| ~ ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(329,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
= $true )
| ( ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(330,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( ~ ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
= $true )
| ( ( ~ ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(331,plain,
! [SV30: $i > $o,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV173: $i,SV322: $i > $i > $o] :
( ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
= $false )
| ( ( ~ ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) ) )
= $true )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(332,plain,
! [SV322: $i > $i > $o,SV173: $i,SV172: $i,SV317: $i > $i,SV321: $i > $i,SV30: $i > $o] :
( ( ( SV30 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
= $false )
| ( ( SV322 @ SV173 @ ( sK44_E @ SV321 @ SV317 @ SV172 @ SV30 @ SV173 @ SV322 ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV317 @ SX0 ) @ ( dsetconstr @ ( SV321 @ SX0 ) @ ( SV322 @ SX0 ) ) ) ) )
= $false )
| ( ( SV30 @ ( SV317 @ SV173 ) )
= $false )
| ( ( in @ ( SV317 @ SV173 ) @ ( SV321 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(333,plain,
! [SV187: $i > $i,SV186: $i > $i,SV172: $i,SV173: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( in @ SV173
@ ( dsetconstr @ SV172
@ ^ [SX0: $i] :
~ ( in @ ( SV186 @ SX0 ) @ ( SV187 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV186 @ SV173 ) @ ( SV187 @ SV173 ) )
= $false ) ),
inference(sim,[status(thm)],[287]) ).
thf(334,plain,
! [SV323: $i] :
( ( in @ sK3_SY32
@ ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) ) )
= $false ),
inference(rename,[status(thm)],[266]) ).
thf(335,plain,
! [SV323: $i,SV28: $i,SV29: $i,SV30: $i > $o] :
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ SV29
@ ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) ) )
= $false )
| ( ( SV30 @ SV29 )
= $false )
| ( ( in @ SV29 @ SV28 )
= $false ) ),
inference(res,[status(thm)],[334,144]) ).
thf(337,plain,
! [SV323: $i] :
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true ) ),
inference(res,[status(thm)],[334,46]) ).
thf(339,plain,
! [SV323: $i] :
( ( ( ( in @ sK3_SY32
@ ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) ) )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false ) ),
inference(res,[status(thm)],[334,44]) ).
thf(340,plain,
! [SV323: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) ) )
= ( in @ sK3_SY32 @ sK1_SX0 ) )
= $false ),
inference(res,[status(thm)],[334,31]) ).
thf(341,plain,
! [SV323: $i] :
( ( ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) )
= sK1_SX0 )
= $false ),
inference(extuni,[status(esa)],[340]) ).
thf(342,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( ~ ( in @ sK47_E @ sK1_SX0 ) )
= $true )
| ( ( sK2_SY26 @ sK47_E )
= $true ) ),
inference(extuni,[status(esa)],[339:[bind(SV323,$thf( sK1_SX0 ))]]) ).
thf(343,plain,
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( ~ ( in @ sK47_E @ sK1_SX0 ) )
= $false )
| ( ( sK2_SY26 @ sK47_E )
= $false ) ),
inference(extuni,[status(esa)],[339:[bind(SV323,$thf( sK1_SX0 ))]]) ).
thf(344,plain,
! [SV323: $i] :
( ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SY34: $i] : ( sK2_SY26 @ SY34 ) ) )
= $false )
| ( ( ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[339]) ).
thf(345,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( ~ ( in @ sK48_E @ sK1_SX0 ) )
= $true )
| ( ( sK2_SY26 @ sK48_E )
= $true ) ),
inference(extuni,[status(esa)],[337:[bind(SV323,$thf( sK1_SX0 ))]]) ).
thf(346,plain,
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( ~ ( in @ sK48_E @ sK1_SX0 ) )
= $false )
| ( ( sK2_SY26 @ sK48_E )
= $false ) ),
inference(extuni,[status(esa)],[337:[bind(SV323,$thf( sK1_SX0 ))]]) ).
thf(347,plain,
! [SV323: $i] :
( ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) )
= ( dsetconstr @ sK1_SX0
@ ^ [SY33: $i] : ( sK2_SY26 @ SY33 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[337]) ).
thf(348,plain,
! [SV30: $i > $o,SV28: $i] :
( ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( ~ ( in @ ( sK49_E @ SV28 @ SV30 ) @ sK1_SX0 ) )
= $true )
| ( ( SV30 @ ( sK49_E @ SV28 @ SV30 ) )
= $true ) ),
inference(extuni,[status(esa)],[335:[bind(SV323,$thf( SV28 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(349,plain,
! [SV30: $i > $o,SV28: $i] :
( ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( ~ ( in @ ( sK49_E @ SV28 @ SV30 ) @ sK1_SX0 ) )
= $false )
| ( ( SV30 @ ( sK49_E @ SV28 @ SV30 ) )
= $false ) ),
inference(extuni,[status(esa)],[335:[bind(SV323,$thf( SV28 )),bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(350,plain,
! [SV323: $i,SV30: $i > $o,SV28: $i] :
( ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( ( dsetconstr @ SV323
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK1_SX0 ) )
= ( dsetconstr @ SV28
@ ^ [SX0: $i] : ( SV30 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[335:[bind(SV29,$thf( sK3_SY32 ))]]) ).
thf(351,plain,
( ( ( in @ sK47_E @ sK1_SX0 )
= $true )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( sK2_SY26 @ sK47_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(352,plain,
( ( ( in @ sK47_E @ sK1_SX0 )
= $false )
| ( ( in @ sK3_SY32
@ ( dsetconstr @ sK1_SX0
@ ^ [SX0: $i] : ( sK2_SY26 @ SX0 ) ) )
= $false )
| ( ( sK2_SY26 @ sK47_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(353,plain,
( ( ( in @ sK48_E @ sK1_SX0 )
= $true )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ sK48_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(354,plain,
( ( ( in @ sK48_E @ sK1_SX0 )
= $false )
| ( ( sK2_SY26 @ sK3_SY32 )
= $true )
| ( ( sK2_SY26 @ sK48_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(355,plain,
! [SV30: $i > $o,SV28: $i] :
( ( ( in @ ( sK49_E @ SV28 @ SV30 ) @ sK1_SX0 )
= $true )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( SV30 @ ( sK49_E @ SV28 @ SV30 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(356,plain,
! [SV30: $i > $o,SV28: $i] :
( ( ( in @ ( sK49_E @ SV28 @ SV30 ) @ sK1_SX0 )
= $false )
| ( ( SV30 @ sK3_SY32 )
= $false )
| ( ( in @ sK3_SY32 @ SV28 )
= $false )
| ( ( SV30 @ ( sK49_E @ SV28 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(357,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[31,356,355,354,353,352,351,350,347,344,341,334,333,332,329,324,322,321,320,319,318,317,316,315,314,313,311,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,291,290,289,288,285,284,283,282,281,280,279,278,277,276,275,274,273,270,269,268,267,265,264,250,248,247,246,245,244,243,242,226,225,224,221,216,212,210,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,176,175,174,173,172,171,170,169,168,167,166,165,164,163,162,161,160,159,144,143,142,141,140,139,138,137,136,135,134,126,120,119,104,99,98,97,96,46,44,42]) ).
thf(358,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU508^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 15:25:51 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/0.70
% 2.73/0.70 No.of.Axioms: 0
% 2.73/0.70
% 2.73/0.70 Length.of.Defs: 440
% 2.73/0.70
% 2.73/0.70 Contains.Choice.Funs: false
% 2.73/0.70 .........
% 2.73/0.70
% 2.73/0.70 ********************************
% 2.73/0.70 * All subproblems solved! *
% 2.73/0.70 ********************************
% 2.73/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:357,loop_count:10,foatp_calls:4,translation:fof_full)
% 2.73/0.70
% 2.73/0.70 %**** Beginning of derivation protocol ****
% 2.73/0.70 % SZS output start CNFRefutation
% See solution above
% 0.67/0.70
% 0.67/0.70 %**** End of derivation protocol ****
% 0.67/0.70 %**** no. of clauses in derivation: 283 ****
% 0.67/0.70 %**** clause counter: 357 ****
% 0.67/0.70
% 0.67/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,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:357,loop_count:10,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------