TSTP Solution File: SEU603^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU603^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:13:16 EDT 2022
% Result : Theorem 22.29s 22.55s
% Output : CNFRefutation 22.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 45
% Syntax : Number of formulae : 292 ( 54 unt; 42 typ; 2 def)
% Number of atoms : 1903 ( 792 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 3771 ( 501 ~; 329 |; 2 &;2928 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 292 ( 292 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 31 con; 0-3 aty)
% Number of variables : 1196 ( 677 ^ 519 !; 0 ?;1196 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrER,type,
dsetconstrER: $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 ).
thf(tp_sK12_E,type,
sK12_E: $i ).
thf(tp_sK13_E,type,
sK13_E: $i ).
thf(tp_sK14_E,type,
sK14_E: $i ).
thf(tp_sK15_E,type,
sK15_E: $i ).
thf(tp_sK16_E,type,
sK16_E: $i ).
thf(tp_sK17_E,type,
sK17_E: $i ).
thf(tp_sK18_E,type,
sK18_E: $i ).
thf(tp_sK19_E,type,
sK19_E: $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK20_E,type,
sK20_E: $i ).
thf(tp_sK21_E,type,
sK21_E: $i ).
thf(tp_sK22_E,type,
sK22_E: $i ).
thf(tp_sK23_E,type,
sK23_E: $i ).
thf(tp_sK24_E,type,
sK24_E: $i ).
thf(tp_sK25_E,type,
sK25_E: $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK26_E,type,
sK26_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK27_E,type,
sK27_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK28_E,type,
sK28_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK29_E,type,
sK29_E: ( $i > $o ) > $i ).
thf(tp_sK2_SY14,type,
sK2_SY14: $i ).
thf(tp_sK30_E,type,
sK30_E: ( $i > $i ) > ( $i > $i > $o ) > $i ).
thf(tp_sK31_E,type,
sK31_E: ( $i > $i ) > ( $i > $i > $i ) > $i ).
thf(tp_sK32_E,type,
sK32_E: ( $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK33_E,type,
sK33_E: $i ).
thf(tp_sK34_E,type,
sK34_E: $i ).
thf(tp_sK35_E,type,
sK35_E: $i ).
thf(tp_sK36_E,type,
sK36_E: $i ).
thf(tp_sK37_E,type,
sK37_E: $i ).
thf(tp_sK38_E,type,
sK38_E: $i ).
thf(tp_sK3_SY17,type,
sK3_SY17: $i ).
thf(tp_sK4_E,type,
sK4_E: ( $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( $i > $i ) > ( $i > $i > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: $i ).
thf(tp_sK7_E,type,
sK7_E: $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK9_E,type,
sK9_E: $i ).
thf(tp_setminus,type,
setminus: $i > $i > $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(setminus,definition,
( setminus
= ( ^ [A: $i,B: $i] :
( dsetconstr @ A
@ ^ [Xx: $i] :
~ ( in @ Xx @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminus) ).
thf(1,conjecture,
( dsetconstrER
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusER) ).
thf(2,negated_conjecture,
( ( dsetconstrER
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( setminus @ A @ B ) )
=> ~ ( in @ Xx @ B ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) )
=> ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2
@ ( dsetconstr @ SY0
@ ^ [SY5: $i] :
~ ( in @ SY5 @ SY1 ) ) )
=> ~ ( in @ SY2 @ SY1 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrER,setminus]) ).
thf(4,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(5,plain,
( ( ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2
@ ( dsetconstr @ SY0
@ ^ [SY5: $i] :
~ ( in @ SY5 @ SY1 ) ) )
=> ~ ( in @ SY2 @ SY1 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2
@ ( dsetconstr @ SY0
@ ^ [SY5: $i] :
~ ( in @ SY5 @ SY1 ) ) )
=> ~ ( in @ SY2 @ SY1 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SY18: $i] :
~ ( in @ SY18 @ sK2_SY14 ) ) )
& ( in @ sK3_SY17 @ sK2_SY14 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
| ( Xphi @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SY18: $i] :
~ ( in @ SY18 @ sK2_SY14 ) ) )
& ( in @ sK3_SY17 @ sK2_SY14 ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
| ~ ( in @ sK3_SY17 @ sK2_SY14 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,dsetconstrER,setminus]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY20: $i > $o,SY21: $i] :
( ~ ( in @ SY21
@ ( dsetconstr @ SV1
@ ^ [Xy: $i] : ( SY20 @ Xy ) ) )
| ( SY20 @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
| ~ ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ! [SY23: $i] :
( ~ ( in @ SY23
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) )
| ( SV2 @ SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ~ ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) )
| ( SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( in @ sK3_SY17 @ sK2_SY14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ( ~ ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) ) )
= $true )
| ( ( SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) )
= $false )
| ( ( SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[21:[bind(SV2,$thf( ^ [SV6: $i] : $false ))]]) ).
thf(24,plain,
! [SV5: $i > $o,SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV5 @ SV3 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[21:[bind(SV2,$thf( ^ [SV4: $i] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(25,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV3 = sK1_SY0 )
= $true ) ),
inference(prim_subst,[status(thm)],[21:[bind(SV2,$thf( ^ [SV8: $i] : ( SV8 = sK1_SY0 ) ))]]) ).
thf(26,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV3 = sK3_SY17 )
= $true ) ),
inference(prim_subst,[status(thm)],[21:[bind(SV2,$thf( ^ [SV9: $i] : ( SV9 = sK3_SY17 ) ))]]) ).
thf(27,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV3 = sK2_SY14 )
= $true ) ),
inference(prim_subst,[status(thm)],[21:[bind(SV2,$thf( ^ [SV10: $i] : ( SV10 = sK2_SY14 ) ))]]) ).
thf(28,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ( SV2 @ SV3 )
= $true )
| ( ( ( SV2 @ SV3 )
= ( ~ ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[21]) ).
thf(30,plain,
! [SV1: $i,SV3: $i,SV2: $i > $o] :
( ( ( ( SV2 @ SV3 )
= ( ~ ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) ) ) )
= $false )
| ( ( SV2 @ SV3 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[28]) ).
thf(42,plain,
! [SV1: $i,SV17: $i > $i,SV3: $i,SV16: $i > $i] :
( ( ( ~ ( in @ ( SV16 @ SV3 ) @ ( SV17 @ SV3 ) ) )
= $true )
| ( ( in @ ( SV16 @ SV3 ) @ ( SV17 @ SV3 ) )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[30:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( in @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(47,plain,
! [SV1: $i,SV17: $i > $i,SV3: $i,SV16: $i > $i] :
( ( ( in @ ( SV16 @ SV3 ) @ ( SV17 @ SV3 ) )
= $false )
| ( ( in @ ( SV16 @ SV3 ) @ ( SV17 @ SV3 ) )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV1: $i,SV3: $i,SV5: $i > $o] :
( ( ( SV5 @ SV3 )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(56,plain,
! [SV1: $i,SV17: $i > $i,SV3: $i,SV16: $i > $i] :
( ( ( in @ ( SV16 @ SV3 ) @ ( SV17 @ SV3 ) )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( in @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[47]) ).
thf(57,plain,
! [SV1: $i,SV3: $i] :
( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[23]) ).
thf(58,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) )
= $false )
| ( ( SV18 @ SV20 )
= $true ) ),
inference(rename,[status(thm)],[21]) ).
thf(61,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) )
= ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false )
| ( ( SV18 @ SV20 )
= $true ) ),
inference(res,[status(thm)],[58,19]) ).
thf(62,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( SV18 @ SV20 )
= $true ) ),
inference(res,[status(thm)],[58,18]) ).
thf(64,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV18,$thf( ^ [SV23: $i] : $false ))]]) ).
thf(65,plain,
! [SV19: $i,SV20: $i] :
( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[64]) ).
thf(66,plain,
! [SV22: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV22 @ SV20 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV18,$thf( ^ [SV21: $i] : ~ ( SV22 @ SV21 ) ))]]) ).
thf(67,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV20 = sK1_SY0 )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV18,$thf( ^ [SV25: $i] : ( SV25 = sK1_SY0 ) ))]]) ).
thf(68,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV20 = sK3_SY17 )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV18,$thf( ^ [SV26: $i] : ( SV26 = sK3_SY17 ) ))]]) ).
thf(69,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV20 = sK2_SY14 )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV18,$thf( ^ [SV27: $i] : ( SV27 = sK2_SY14 ) ))]]) ).
thf(70,plain,
! [SV34: $i > $o,SV33: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
( ( SV33 @ SX0 )
| ( SV34 @ SX0 ) ) ) )
= $false )
| ( ( ( SV33 @ SV20 )
| ( SV34 @ SV20 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV18,$thf( ^ [SV32: $i] : ( ( SV33 @ SV32 ) | ( SV34 @ SV32 ) ) ))]]) ).
thf(71,plain,
! [SV31: $i > $i,SV30: $i > $i,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
( ( SV30 @ SX0 )
= ( SV31 @ SX0 ) ) ) )
= $false )
| ( ( ( SV30 @ SV20 )
= ( SV31 @ SV20 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[58:[bind(SV18,$thf( ^ [SV29: $i] : ( ( SV30 @ SV29 ) = ( SV31 @ SV29 ) ) ))]]) ).
thf(72,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( SV18 @ SV20 )
= $true )
| ( ( ( SV18 @ SV20 )
= ( ~ ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[58]) ).
thf(73,plain,
! [SV70: $i > $i > $o] :
( ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV70 @ SX0 @ SX1 ) ) @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(74,plain,
! [SV70: $i > $i > $o] :
( ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 ) )
= $true )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV70 @ SX0 @ SX1 ) ) @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(75,plain,
! [SV70: $i > $i > $o] :
( ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV70 @ SX0 @ SX1 ) ) @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(76,plain,
! [SV70: $i > $i > $o] :
( ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 ) )
= $true )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ^ [SX1: $i] : ~ ( SV70 @ SX0 @ SX1 ) ) @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(77,plain,
! [SV63: $i > $i > $o] :
( ( ( ~ ( in @ ( sK4_E @ ( SV63 @ sK3_SY17 ) ) @ sK3_SY17 ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ( SV63
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ SX0 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(78,plain,
! [SV63: $i > $i > $o] :
( ( ( ~ ( in @ ( sK4_E @ ( SV63 @ sK3_SY17 ) ) @ sK2_SY14 ) )
= $true )
| ( ( ( sK4_E
@ ( SV63
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ sK2_SY14 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(79,plain,
( ( ( ~ ( in @ sK3_SY17 @ sK3_SY17 ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ SX0 @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(80,plain,
( ( ~ ( in @ sK3_SY17 @ sK2_SY14 ) )
= $true ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ SX0 @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(81,plain,
! [SV60: $i > $i,SV59: $i > $i] :
( ( ( ~ ( in @ ( SV59 @ sK3_SY17 ) @ ( SV60 @ sK3_SY17 ) ) )
= $true )
| ( ( in
@ ( SV59
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) )
@ ( SV60
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(82,plain,
! [SV60: $i > $i,SV59: $i > $i] :
( ( ( ~ ( in @ ( SV59 @ sK3_SY17 ) @ ( SV60 @ sK3_SY17 ) ) )
= $true )
| ( ( in
@ ( SV59
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) )
@ ( SV60
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(83,plain,
! [SV56: $i > $o] :
( ( ( ~ ( SV56 @ sK3_SY17 ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( SV56 @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(84,plain,
! [SV56: $i > $o] :
( ( ( ~ ( SV56 @ sK3_SY17 ) )
= $true )
| ( ( ~ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( SV56 @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(85,plain,
! [SV19: $i,SV18: $i > $o] :
( ( ( SV18 @ sK3_SY17 )
= $true )
| ( ( ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[62:[bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(86,plain,
! [SV19: $i,SV18: $i > $o] :
( ( ( SV18 @ sK3_SY17 )
= $true )
| ( ( ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[61:[bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(90,plain,
! [SV19: $i,SV102: $i > $i,SV20: $i,SV101: $i > $i] :
( ( ( in @ ( SV101 @ SV20 ) @ ( SV102 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV101 @ SX0 ) @ ( SV102 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in @ ( SV101 @ SV20 ) @ ( SV102 @ SV20 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[72:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( SV101 @ SX0 ) @ ( SV102 @ SX0 ) ) ))]]) ).
thf(91,plain,
! [SV19: $i,SV20: $i,SV98: $i > $o] :
( ( ( ~ ( SV98 @ SV20 ) )
= $true )
| ( ( ~ ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV98 @ SV20 ) )
= $true ) ),
inference(extuni,[status(esa)],[72:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( SV98 @ SX0 ) ))]]) ).
thf(93,plain,
! [SV56: $i > $o] :
( ( ( SV56 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(94,plain,
! [SV56: $i > $o] :
( ( ( SV56 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV60: $i > $i,SV59: $i > $i] :
( ( ( in @ ( SV59 @ sK3_SY17 ) @ ( SV60 @ sK3_SY17 ) )
= $false )
| ( ( in
@ ( SV59
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) )
@ ( SV60
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV60: $i > $i,SV59: $i > $i] :
( ( ( in @ ( SV59 @ sK3_SY17 ) @ ( SV60 @ sK3_SY17 ) )
= $false )
| ( ( in
@ ( SV59
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) )
@ ( SV60
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( SV59 @ SX0 ) @ ( SV60 @ SX0 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(97,plain,
( ( in @ sK3_SY17 @ sK2_SY14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(98,plain,
( ( ( in @ sK3_SY17 @ sK3_SY17 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) )
= sK2_SY14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(99,plain,
! [SV63: $i > $i > $o] :
( ( ( in @ ( sK4_E @ ( SV63 @ sK3_SY17 ) ) @ sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ( SV63
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ sK2_SY14 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ sK2_SY14 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(100,plain,
! [SV63: $i > $i > $o] :
( ( ( in @ ( sK4_E @ ( SV63 @ sK3_SY17 ) ) @ sK3_SY17 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ( SV63
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ SX0 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] :
~ ( in @ ( sK4_E @ ( SV63 @ SX0 ) ) @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(101,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(102,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(103,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(104,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ~ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(105,plain,
! [SV19: $i,SV20: $i,SV22: $i > $o] :
( ( ( SV22 @ SV20 )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(106,plain,
! [SV19: $i,SV34: $i > $o,SV20: $i,SV33: $i > $o] :
( ( ( SV33 @ SV20 )
= $true )
| ( ( SV34 @ SV20 )
= $true )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
( ( SV33 @ SX0 )
| ( SV34 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(108,plain,
! [SV19: $i,SV20: $i,SV98: $i > $o] :
( ( ( SV98 @ SV20 )
= $false )
| ( ( ~ ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV98 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(109,plain,
! [SV19: $i,SV102: $i > $i,SV20: $i,SV101: $i > $i] :
( ( ( in @ ( SV101 @ SV20 ) @ ( SV102 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV101 @ SX0 ) @ ( SV102 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV101 @ SV20 ) @ ( SV102 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(111,plain,
! [SV56: $i > $o] :
( ( ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true )
| ( ( SV56 @ sK3_SY17 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(112,plain,
! [SV56: $i > $o] :
( ( ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $false )
| ( ( SV56 @ sK3_SY17 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(113,plain,
! [SV70: $i > $i > $o] :
( ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(114,plain,
! [SV70: $i > $i > $o] :
( ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(115,plain,
! [SV70: $i > $i > $o] :
( ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV70: $i > $i > $o] :
( ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 )
= $false )
| ( ( ~ ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV98: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $false )
| ( ( SV98 @ SV20 )
= $false )
| ( ( ~ ( SV98 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(119,plain,
! [SV56: $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 )
= $true )
| ( ( SV56 @ sK3_SY17 )
= $false )
| ( ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(120,plain,
! [SV56: $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( SV56 @ sK3_SY17 )
= $false )
| ( ( SV56
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV56 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(121,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(122,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK2_SY14 )
= $false )
| ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV70: $i > $i > $o] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] :
~ ( SV70 @ SX1 @ SX2 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( SV70 @ sK3_SY17 @ SX0 ) )
@ sK3_SY17 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
~ ( in
@ ( sK4_E
@ ^ [SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] :
~ ( SV70 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(126,plain,
! [SV19: $i,SV20: $i,SV98: $i > $o] :
( ( ( SV98 @ SV20 )
= $false )
| ( ( SV98 @ SV20 )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(127,plain,
! [SV19: $i,SV20: $i,SV98: $i > $o] :
( ( ( SV98 @ SV20 )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[126]) ).
thf(128,plain,
! [SV19: $i,SV102: $i > $i,SV20: $i,SV101: $i > $i] :
( ( ( in @ ( SV101 @ SV20 ) @ ( SV102 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV101 @ SX0 ) @ ( SV102 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[109]) ).
thf(129,plain,
! [SV103: $i,SV104: $i] :
( ( ( in @ SV104
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV104 = sK1_SY0 )
= $true ) ),
inference(rename,[status(thm)],[25]) ).
thf(134,plain,
! [SV103: $i,SV104: $i] :
( ( ( ( in @ SV104
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false )
| ( ( SV104 = sK1_SY0 )
= $true ) ),
inference(res,[status(thm)],[129,19]) ).
thf(135,plain,
! [SV103: $i,SV104: $i] :
( ( ( ( in @ SV104
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( SV104 = sK1_SY0 )
= $true ) ),
inference(res,[status(thm)],[129,18]) ).
thf(136,plain,
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( sK8_E = sK1_SY0 )
= $true )
| ( ( ~ ( in @ sK8_E @ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[135:[bind(SV103,$thf( sK1_SY0 )),bind(SV104,$thf( sK3_SY17 ))]]) ).
thf(137,plain,
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( sK8_E = sK1_SY0 )
= $false )
| ( ( ~ ( in @ sK8_E @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[135:[bind(SV103,$thf( sK1_SY0 )),bind(SV104,$thf( sK3_SY17 ))]]) ).
thf(138,plain,
! [SV103: $i] :
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[135:[bind(SV104,$thf( sK3_SY17 ))]]) ).
thf(139,plain,
! [SV103: $i] :
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[134:[bind(SV104,$thf( sK3_SY17 ))]]) ).
thf(140,plain,
( ( ( in @ sK8_E @ sK2_SY14 )
= $true )
| ( ( sK8_E = sK1_SY0 )
= $false )
| ( ( sK3_SY17 = sK1_SY0 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(141,plain,
( ( ( in @ sK8_E @ sK2_SY14 )
= $false )
| ( ( sK8_E = sK1_SY0 )
= $true )
| ( ( sK3_SY17 = sK1_SY0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(142,plain,
! [SV105: $i,SV106: $i] :
( ( ( in @ SV106
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV106 = sK3_SY17 )
= $true ) ),
inference(rename,[status(thm)],[26]) ).
thf(157,plain,
! [SV107: $i,SV108: $i] :
( ( ( in @ SV108
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV108 = sK2_SY14 )
= $true ) ),
inference(rename,[status(thm)],[27]) ).
thf(166,plain,
! [SV107: $i,SV108: $i] :
( ( ( ( in @ SV108
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false )
| ( ( SV108 = sK2_SY14 )
= $true ) ),
inference(res,[status(thm)],[157,19]) ).
thf(167,plain,
! [SV107: $i,SV108: $i] :
( ( ( ( in @ SV108
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( SV108 = sK2_SY14 )
= $true ) ),
inference(res,[status(thm)],[157,18]) ).
thf(168,plain,
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( sK20_E = sK2_SY14 )
= $true )
| ( ( ~ ( in @ sK20_E @ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[167:[bind(SV107,$thf( sK1_SY0 )),bind(SV108,$thf( sK3_SY17 ))]]) ).
thf(169,plain,
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( sK20_E = sK2_SY14 )
= $false )
| ( ( ~ ( in @ sK20_E @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[167:[bind(SV107,$thf( sK1_SY0 )),bind(SV108,$thf( sK3_SY17 ))]]) ).
thf(170,plain,
! [SV107: $i] :
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[167:[bind(SV108,$thf( sK3_SY17 ))]]) ).
thf(171,plain,
! [SV107: $i] :
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[166:[bind(SV108,$thf( sK3_SY17 ))]]) ).
thf(172,plain,
( ( ( in @ sK20_E @ sK2_SY14 )
= $true )
| ( ( sK20_E = sK2_SY14 )
= $false )
| ( ( sK3_SY17 = sK2_SY14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(173,plain,
( ( ( in @ sK20_E @ sK2_SY14 )
= $false )
| ( ( sK20_E = sK2_SY14 )
= $true )
| ( ( sK3_SY17 = sK2_SY14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(174,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o] :
( ( ( SV111 @ SV110 )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= $false ) ),
inference(rename,[status(thm)],[53]) ).
thf(176,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o,SV107: $i,SV108: $i] :
( ( ( ( SV111 @ SV110 )
= ( SV108 = sK2_SY14 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= $false )
| ( ( in @ SV108
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false ) ),
inference(res,[status(thm)],[174,157]) ).
thf(178,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o,SV105: $i,SV106: $i] :
( ( ( ( SV111 @ SV110 )
= ( SV106 = sK3_SY17 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= $false )
| ( ( in @ SV106
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false ) ),
inference(res,[status(thm)],[174,142]) ).
thf(180,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o,SV103: $i,SV104: $i] :
( ( ( ( SV111 @ SV110 )
= ( SV104 = sK1_SY0 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= $false )
| ( ( in @ SV104
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false ) ),
inference(res,[status(thm)],[174,129]) ).
thf(183,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o] :
( ( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false )
| ( ( SV111 @ SV110 )
= $false ) ),
inference(res,[status(thm)],[174,19]) ).
thf(184,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o] :
( ( ( ( SV111 @ SV110 )
= ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[174,19]) ).
thf(185,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o] :
( ( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( SV111 @ SV110 )
= $false ) ),
inference(res,[status(thm)],[174,18]) ).
thf(186,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o] :
( ( ( ( SV111 @ SV110 )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[174,18]) ).
thf(187,plain,
! [SV109: $i,SV110: $i] :
( ( $true = $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ~ $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV115: $i] : $true ))]]) ).
thf(188,plain,
! [SV109: $i,SV110: $i] :
( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ~ $true ) )
= $false ),
inference(sim,[status(thm)],[187]) ).
thf(190,plain,
! [SV109: $i,SV110: $i,SV113: $i > $o] :
( ( ( ~ ( SV113 @ SV110 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ~ ( SV113 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV112: $i] : ~ ( SV113 @ SV112 ) ))]]) ).
thf(191,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK6_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK6_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV116: $i] : ( SV116 = sK6_E ) ))]]) ).
thf(192,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK12_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK12_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV117: $i] : ( SV117 = sK12_E ) ))]]) ).
thf(193,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK19_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK19_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV118: $i] : ( SV118 = sK19_E ) ))]]) ).
thf(194,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK23_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV119: $i] : ( SV119 = sK23_E ) ))]]) ).
thf(195,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK2_SY14 )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK2_SY14 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV120: $i] : ( SV120 = sK2_SY14 ) ))]]) ).
thf(196,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK22_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV121: $i] : ( SV121 = sK22_E ) ))]]) ).
thf(197,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK7_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK7_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV122: $i] : ( SV122 = sK7_E ) ))]]) ).
thf(198,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK18_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV123: $i] : ( SV123 = sK18_E ) ))]]) ).
thf(199,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK9_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV124: $i] : ( SV124 = sK9_E ) ))]]) ).
thf(200,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK10_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV125: $i] : ( SV125 = sK10_E ) ))]]) ).
thf(201,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK20_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV126: $i] : ( SV126 = sK20_E ) ))]]) ).
thf(202,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK24_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK24_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV127: $i] : ( SV127 = sK24_E ) ))]]) ).
thf(203,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK1_SY0 )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK1_SY0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV128: $i] : ( SV128 = sK1_SY0 ) ))]]) ).
thf(204,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK21_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV129: $i] : ( SV129 = sK21_E ) ))]]) ).
thf(205,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK3_SY17 )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK3_SY17 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV130: $i] : ( SV130 = sK3_SY17 ) ))]]) ).
thf(206,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK13_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV131: $i] : ( SV131 = sK13_E ) ))]]) ).
thf(207,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK16_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV132: $i] : ( SV132 = sK16_E ) ))]]) ).
thf(208,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK11_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV133: $i] : ( SV133 = sK11_E ) ))]]) ).
thf(209,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK14_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV134: $i] : ( SV134 = sK14_E ) ))]]) ).
thf(210,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK15_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV135: $i] : ( SV135 = sK15_E ) ))]]) ).
thf(211,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK8_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK8_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV136: $i] : ( SV136 = sK8_E ) ))]]) ).
thf(212,plain,
! [SV109: $i,SV110: $i] :
( ( ( SV110 = sK17_E )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV137: $i] : ( SV137 = sK17_E ) ))]]) ).
thf(213,plain,
! [SV109: $i,SV144: $i > $o,SV110: $i,SV143: $i > $o] :
( ( ( ( SV143 @ SV110 )
| ( SV144 @ SV110 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( ( SV143 @ SX0 )
| ( SV144 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[174:[bind(SV111,$thf( ^ [SV142: $i] : ( ( SV143 @ SV142 ) | ( SV144 @ SV142 ) ) ))]]) ).
thf(215,plain,
! [SV109: $i,SV110: $i,SV111: $i > $o] :
( ( ( SV111 @ SV110 )
= $false )
| ( ( ( SV111 @ SV110 )
= ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[174]) ).
thf(216,plain,
! [SV219: $i > $i > $o,SV109: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV219 @ sK3_SY17
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ~ ( SV219 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(217,plain,
! [SV219: $i > $i > $o,SV109: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV219 @ sK3_SY17
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ~ ( SV219 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(218,plain,
! [SV208: $i > $i > $o,SV109: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV208 @ sK3_SY17
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ~ ( SV208 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(219,plain,
! [SV208: $i > $i > $o,SV109: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV208 @ sK3_SY17
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ~ ( SV208 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(220,plain,
! [SV201: $i > $i > $o,SV200: $i > $i,SV109: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV200 @ SX0 ) @ ( SV201 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV200 @ sK3_SY17 ) @ ( SV201 @ sK3_SY17 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV200 @ SX0 ) @ ( SV201 @ SX0 ) ) ) ))]]) ).
thf(221,plain,
! [SV109: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY17
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(222,plain,
! [SV191: $i > $i > $o,SV109: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV191 @ sK1_SY0
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK1_SY0 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ~ ( SV191 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(223,plain,
! [SV191: $i > $i > $o,SV109: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV191 @ sK1_SY0
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( sK1_SY0 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ~ ( SV191 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(224,plain,
! [SV180: $i > $i > $o,SV109: $i,SV110: $i] :
( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV180 @ SV110
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( in
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[186:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ~ ( SV180 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(225,plain,
! [SV180: $i > $i > $o,SV109: $i,SV110: $i] :
( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( SV180 @ SV110
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ~ ( SV180 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(226,plain,
! [SV173: $i > $i > $o,SV172: $i > $i,SV109: $i,SV110: $i] :
( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ ( dsetconstr @ ( SV172 @ SX0 ) @ ( SV173 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV172 @ SV110 ) @ ( SV173 @ SV110 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( SV172 @ SX0 ) @ ( SV173 @ SX0 ) ) ) ))]]) ).
thf(227,plain,
! [SV109: $i] :
( ( in
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) )
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[186:[bind(SV110,$thf( dsetconstr @ sK1_SY0 @ ^ [SX0: $i] : ~ ( in @ SX0 @ sK2_SY14 ) )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(228,plain,
! [SV167: $i > $i,SV166: $i > $i,SV109: $i,SV110: $i] :
( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ ( SV166 @ SX0 ) @ ( SV167 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV166 @ SV110 ) @ ( SV167 @ SV110 ) )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[186:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( SV166 @ SX0 ) @ ( SV167 @ SX0 ) ) ))]]) ).
thf(229,plain,
! [SV167: $i > $i,SV166: $i > $i,SV109: $i,SV110: $i] :
( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ ( SV166 @ SX0 ) @ ( SV167 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV166 @ SV110 ) @ ( SV167 @ SV110 ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( SV166 @ SX0 ) @ ( SV167 @ SX0 ) ) ))]]) ).
thf(230,plain,
! [SV240: $i > $i > $i,SV239: $i > $i > $i] :
( ( ( in
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV239 @ sK3_SY17 @ SX0 ) @ ( SV240 @ sK3_SY17 @ SX0 ) ) )
@ sK3_SY17 )
= $false )
| ( ( ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( in
@ ( SV239
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK30_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK30_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( SV239
@ ( sK30_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV240
@ ( sK30_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK30_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( sK29_E @ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) @ SX0 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(231,plain,
! [SV240: $i > $i > $i,SV239: $i > $i > $i] :
( ( ( in
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV239 @ sK3_SY17 @ SX0 ) @ ( SV240 @ sK3_SY17 @ SX0 ) ) )
@ sK2_SY14 )
= $false )
| ( ( in
@ ( SV239
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK30_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK30_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( SV239
@ ( sK30_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV240
@ ( sK30_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( sK29_E @ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) @ sK2_SY14 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(232,plain,
! [SV240: $i > $i > $i,SV239: $i > $i > $i] :
( ( ( in
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV239 @ sK3_SY17 @ SX0 ) @ ( SV240 @ sK3_SY17 @ SX0 ) ) )
@ sK3_SY17 )
= $false )
| ( ( ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( in
@ ( SV239
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK30_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK30_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( SV239
@ ( sK30_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV240
@ ( sK30_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK30_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( sK29_E @ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) @ SX0 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(233,plain,
! [SV240: $i > $i > $i,SV239: $i > $i > $i] :
( ( ( in
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV239 @ sK3_SY17 @ SX0 ) @ ( SV240 @ sK3_SY17 @ SX0 ) ) )
@ sK2_SY14 )
= $false )
| ( ( in
@ ( SV239
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK30_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) )
@ ( SV240
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( sK29_E
@ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK30_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK29_E
@ ^ [SX0: $i] :
( in
@ ( SV239
@ ( sK30_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV240
@ ( sK30_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV239 @ SX1 @ SX2 ) @ ( SV240 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( sK29_E @ ^ [SX1: $i] : ( in @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) ) @ sK2_SY14 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(234,plain,
! [SV232: $i > $i > $o] :
( ( ( in @ ( sK29_E @ ( SV232 @ sK3_SY17 ) ) @ sK3_SY17 )
= $false )
| ( ( ( sK29_E
@ ^ [SX0: $i] : ( in @ ( sK29_E @ ( SV232 @ SX0 ) ) @ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ( sK29_E
@ ( SV232
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( sK29_E @ ( SV232 @ SX0 ) ) @ SX0 ) ) ) )
= ( sK29_E
@ ^ [SX0: $i] : ( in @ ( sK29_E @ ( SV232 @ SX0 ) ) @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( sK29_E @ ( SV232 @ SX0 ) ) @ SX0 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(235,plain,
! [SV232: $i > $i > $o] :
( ( ( in @ ( sK29_E @ ( SV232 @ sK3_SY17 ) ) @ sK2_SY14 )
= $false )
| ( ( ( sK29_E
@ ( SV232
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( sK29_E @ ( SV232 @ SX0 ) ) @ sK2_SY14 ) ) ) )
= ( sK29_E
@ ^ [SX0: $i] : ( in @ ( sK29_E @ ( SV232 @ SX0 ) ) @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( sK29_E @ ( SV232 @ SX0 ) ) @ sK2_SY14 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(236,plain,
( ( ( in @ sK3_SY17 @ sK3_SY17 )
= $false )
| ( ( ( sK29_E
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(237,plain,
( ( in @ sK3_SY17 @ sK2_SY14 )
= $false ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(238,plain,
! [SV229: $i > $i,SV228: $i > $i] :
( ( ( in @ ( SV228 @ sK3_SY17 ) @ ( SV229 @ sK3_SY17 ) )
= $false )
| ( ( in
@ ( SV228
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) ) )
@ ( SV229
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) ) ) )
= $true )
| ( ( in
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(239,plain,
! [SV229: $i > $i,SV228: $i > $i] :
( ( ( in @ ( SV228 @ sK3_SY17 ) @ ( SV229 @ sK3_SY17 ) )
= $false )
| ( ( in
@ ( SV228
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) ) )
@ ( SV229
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) ) ) )
= $false )
| ( ( in
@ ( sK29_E
@ ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( SV228 @ SX0 ) @ ( SV229 @ SX0 ) ) )),bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(240,plain,
! [SV111: $i > $o] :
( ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV111 @ ( sK29_E @ SV111 ) ) )
= $true )
| ( ( ~ ( in @ ( sK29_E @ SV111 ) @ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[185:[bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(241,plain,
! [SV111: $i > $o] :
( ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV111 @ ( sK29_E @ SV111 ) ) )
= $false )
| ( ( ~ ( in @ ( sK29_E @ SV111 ) @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV109,$thf( sK1_SY0 )),bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(242,plain,
! [SV109: $i,SV111: $i > $o] :
( ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[185:[bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(243,plain,
! [SV109: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY17 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[184:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(244,plain,
! [SV109: $i] :
( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0 @ sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[184:[bind(SV110,$thf( sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ))]]) ).
thf(245,plain,
! [SV109: $i] :
( ( in @ sK2_SY14
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[184:[bind(SV110,$thf( sK2_SY14 )),bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(246,plain,
! [SV109: $i,SV110: $i] :
( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[184:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ sK2_SY14 ) ))]]) ).
thf(247,plain,
! [SV346: $i > $i,SV345: $i > $i,SV109: $i,SV110: $i] :
( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ ( SV345 @ SX0 ) @ ( SV346 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV345 @ SV110 ) @ ( SV346 @ SV110 ) )
= $true )
| ( ( in @ sK3_SY17 @ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[184:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( SV345 @ SX0 ) @ ( SV346 @ SX0 ) ) ))]]) ).
thf(248,plain,
! [SV346: $i > $i,SV345: $i > $i,SV109: $i,SV110: $i] :
( ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ ( SV345 @ SX0 ) @ ( SV346 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV345 @ SV110 ) @ ( SV346 @ SV110 ) )
= $false )
| ( ( in @ sK3_SY17 @ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[184:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( SV345 @ SX0 ) @ ( SV346 @ SX0 ) ) ))]]) ).
thf(249,plain,
! [SV109: $i,SV111: $i > $o] :
( ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( SV111 @ SX0 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[183:[bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(250,plain,
! [SV109: $i,SV103: $i,SV356: $i > $i] :
( ( ( in @ ( SV356 @ sK1_SY0 )
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( SX0
!= ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[180:[bind(SV110,$thf( sK1_SY0 )),bind(SV104,$thf( SV356 @ sK1_SY0 )),bind(SV111,$thf( ^ [SX0: $i] : ( SX0 = ( SV356 @ SX0 ) ) ))]]) ).
thf(251,plain,
! [SV109: $i,SV103: $i,SV110: $i,SV356: $i > $i] :
( ( ( in @ ( SV356 @ SV110 )
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( sK1_SY0
!= ( SV356 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[180:[bind(SV104,$thf( SV356 @ SV110 )),bind(SV111,$thf( ^ [SX0: $i] : ( sK1_SY0 = ( SV356 @ SX0 ) ) ))]]) ).
thf(252,plain,
! [SV109: $i,SV103: $i,SV355: $i > $i] :
( ( ( in @ ( SV355 @ sK1_SY0 )
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV355 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[180:[bind(SV110,$thf( sK1_SY0 )),bind(SV104,$thf( SV355 @ sK1_SY0 )),bind(SV111,$thf( ^ [SX0: $i] : ( ( SV355 @ SX0 ) = SX0 ) ))]]) ).
thf(253,plain,
! [SV109: $i,SV103: $i,SV110: $i,SV355: $i > $i] :
( ( ( in @ ( SV355 @ SV110 )
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV355 @ SX0 )
!= sK1_SY0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[180:[bind(SV104,$thf( SV355 @ SV110 )),bind(SV111,$thf( ^ [SX0: $i] : ( ( SV355 @ SX0 ) = sK1_SY0 ) ))]]) ).
thf(254,plain,
! [SV356: $i > $i,SV355: $i > $i,SV109: $i,SV110: $i,SV103: $i,SV104: $i] :
( ( ( in @ SV104
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV355 @ SX0 )
!= ( SV356 @ SX0 ) ) ) )
= $false )
| ( ( ( SV355 @ SV110 )
= ( SV356 @ SV110 ) )
= $true )
| ( ( SV104 = sK1_SY0 )
= $true ) ),
inference(extuni,[status(esa)],[180:[bind(SV111,$thf( ^ [SX0: $i] : ( ( SV355 @ SX0 ) = ( SV356 @ SX0 ) ) ))]]) ).
thf(255,plain,
! [SV356: $i > $i,SV355: $i > $i,SV109: $i,SV110: $i,SV103: $i,SV104: $i] :
( ( ( in @ SV104
@ ( dsetconstr @ SV103
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV355 @ SX0 )
!= ( SV356 @ SX0 ) ) ) )
= $false )
| ( ( ( SV355 @ SV110 )
= ( SV356 @ SV110 ) )
= $false )
| ( ( SV104 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[180:[bind(SV111,$thf( ^ [SX0: $i] : ( ( SV355 @ SX0 ) = ( SV356 @ SX0 ) ) ))]]) ).
thf(256,plain,
! [SV109: $i,SV105: $i,SV364: $i > $i] :
( ( ( in @ ( SV364 @ sK3_SY17 )
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( SX0
!= ( SV364 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[178:[bind(SV110,$thf( sK3_SY17 )),bind(SV106,$thf( SV364 @ sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( SX0 = ( SV364 @ SX0 ) ) ))]]) ).
thf(257,plain,
! [SV109: $i,SV105: $i,SV110: $i,SV364: $i > $i] :
( ( ( in @ ( SV364 @ SV110 )
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( sK3_SY17
!= ( SV364 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[178:[bind(SV106,$thf( SV364 @ SV110 )),bind(SV111,$thf( ^ [SX0: $i] : ( sK3_SY17 = ( SV364 @ SX0 ) ) ))]]) ).
thf(258,plain,
! [SV109: $i,SV105: $i,SV363: $i > $i] :
( ( ( in @ ( SV363 @ sK3_SY17 )
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV363 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[178:[bind(SV110,$thf( sK3_SY17 )),bind(SV106,$thf( SV363 @ sK3_SY17 )),bind(SV111,$thf( ^ [SX0: $i] : ( ( SV363 @ SX0 ) = SX0 ) ))]]) ).
thf(259,plain,
! [SV109: $i,SV105: $i,SV110: $i,SV363: $i > $i] :
( ( ( in @ ( SV363 @ SV110 )
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV363 @ SX0 )
!= sK3_SY17 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[178:[bind(SV106,$thf( SV363 @ SV110 )),bind(SV111,$thf( ^ [SX0: $i] : ( ( SV363 @ SX0 ) = sK3_SY17 ) ))]]) ).
thf(260,plain,
! [SV364: $i > $i,SV363: $i > $i,SV109: $i,SV110: $i,SV105: $i,SV106: $i] :
( ( ( in @ SV106
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV363 @ SX0 )
!= ( SV364 @ SX0 ) ) ) )
= $false )
| ( ( ( SV363 @ SV110 )
= ( SV364 @ SV110 ) )
= $true )
| ( ( SV106 = sK3_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[178:[bind(SV111,$thf( ^ [SX0: $i] : ( ( SV363 @ SX0 ) = ( SV364 @ SX0 ) ) ))]]) ).
thf(261,plain,
! [SV364: $i > $i,SV363: $i > $i,SV109: $i,SV110: $i,SV105: $i,SV106: $i] :
( ( ( in @ SV106
@ ( dsetconstr @ SV105
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV363 @ SX0 )
!= ( SV364 @ SX0 ) ) ) )
= $false )
| ( ( ( SV363 @ SV110 )
= ( SV364 @ SV110 ) )
= $false )
| ( ( SV106 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[178:[bind(SV111,$thf( ^ [SX0: $i] : ( ( SV363 @ SX0 ) = ( SV364 @ SX0 ) ) ))]]) ).
thf(262,plain,
! [SV109: $i,SV107: $i,SV372: $i > $i] :
( ( ( in @ ( SV372 @ sK2_SY14 )
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( SX0
!= ( SV372 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[176:[bind(SV110,$thf( sK2_SY14 )),bind(SV108,$thf( SV372 @ sK2_SY14 )),bind(SV111,$thf( ^ [SX0: $i] : ( SX0 = ( SV372 @ SX0 ) ) ))]]) ).
thf(263,plain,
! [SV109: $i,SV107: $i,SV110: $i,SV372: $i > $i] :
( ( ( in @ ( SV372 @ SV110 )
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( sK2_SY14
!= ( SV372 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[176:[bind(SV108,$thf( SV372 @ SV110 )),bind(SV111,$thf( ^ [SX0: $i] : ( sK2_SY14 = ( SV372 @ SX0 ) ) ))]]) ).
thf(264,plain,
! [SV109: $i,SV107: $i,SV371: $i > $i] :
( ( ( in @ ( SV371 @ sK2_SY14 )
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV371 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[176:[bind(SV110,$thf( sK2_SY14 )),bind(SV108,$thf( SV371 @ sK2_SY14 )),bind(SV111,$thf( ^ [SX0: $i] : ( ( SV371 @ SX0 ) = SX0 ) ))]]) ).
thf(265,plain,
! [SV109: $i,SV107: $i,SV110: $i,SV371: $i > $i] :
( ( ( in @ ( SV371 @ SV110 )
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV371 @ SX0 )
!= sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[176:[bind(SV108,$thf( SV371 @ SV110 )),bind(SV111,$thf( ^ [SX0: $i] : ( ( SV371 @ SX0 ) = sK2_SY14 ) ))]]) ).
thf(266,plain,
! [SV372: $i > $i,SV371: $i > $i,SV109: $i,SV110: $i,SV107: $i,SV108: $i] :
( ( ( in @ SV108
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV371 @ SX0 )
!= ( SV372 @ SX0 ) ) ) )
= $false )
| ( ( ( SV371 @ SV110 )
= ( SV372 @ SV110 ) )
= $true )
| ( ( SV108 = sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[176:[bind(SV111,$thf( ^ [SX0: $i] : ( ( SV371 @ SX0 ) = ( SV372 @ SX0 ) ) ))]]) ).
thf(267,plain,
! [SV372: $i > $i,SV371: $i > $i,SV109: $i,SV110: $i,SV107: $i,SV108: $i] :
( ( ( in @ SV108
@ ( dsetconstr @ SV107
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
( ( SV371 @ SX0 )
!= ( SV372 @ SX0 ) ) ) )
= $false )
| ( ( ( SV371 @ SV110 )
= ( SV372 @ SV110 ) )
= $false )
| ( ( SV108 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[176:[bind(SV111,$thf( ^ [SX0: $i] : ( ( SV371 @ SX0 ) = ( SV372 @ SX0 ) ) ))]]) ).
thf(268,plain,
! [SV109: $i] :
( ( in @ sK6_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK6_E ) ) )
= $false ),
inference(extuni,[status(esa)],[191:[bind(SV110,$thf( sK6_E ))]]) ).
thf(269,plain,
! [SV109: $i] :
( ( in @ sK12_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK12_E ) ) )
= $false ),
inference(extuni,[status(esa)],[192:[bind(SV110,$thf( sK12_E ))]]) ).
thf(270,plain,
! [SV109: $i] :
( ( in @ sK19_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK19_E ) ) )
= $false ),
inference(extuni,[status(esa)],[193:[bind(SV110,$thf( sK19_E ))]]) ).
thf(271,plain,
! [SV109: $i] :
( ( in @ sK23_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ),
inference(extuni,[status(esa)],[194:[bind(SV110,$thf( sK23_E ))]]) ).
thf(272,plain,
! [SV109: $i] :
( ( in @ sK2_SY14
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[195:[bind(SV110,$thf( sK2_SY14 ))]]) ).
thf(273,plain,
! [SV109: $i] :
( ( in @ sK22_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ),
inference(extuni,[status(esa)],[196:[bind(SV110,$thf( sK22_E ))]]) ).
thf(274,plain,
! [SV109: $i] :
( ( in @ sK7_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK7_E ) ) )
= $false ),
inference(extuni,[status(esa)],[197:[bind(SV110,$thf( sK7_E ))]]) ).
thf(275,plain,
! [SV109: $i] :
( ( in @ sK18_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ),
inference(extuni,[status(esa)],[198:[bind(SV110,$thf( sK18_E ))]]) ).
thf(276,plain,
! [SV109: $i] :
( ( in @ sK9_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ),
inference(extuni,[status(esa)],[199:[bind(SV110,$thf( sK9_E ))]]) ).
thf(277,plain,
! [SV109: $i] :
( ( in @ sK10_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ),
inference(extuni,[status(esa)],[200:[bind(SV110,$thf( sK10_E ))]]) ).
thf(278,plain,
! [SV109: $i] :
( ( in @ sK20_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ),
inference(extuni,[status(esa)],[201:[bind(SV110,$thf( sK20_E ))]]) ).
thf(279,plain,
! [SV109: $i] :
( ( in @ sK24_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK24_E ) ) )
= $false ),
inference(extuni,[status(esa)],[202:[bind(SV110,$thf( sK24_E ))]]) ).
thf(280,plain,
! [SV109: $i] :
( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK1_SY0 ) ) )
= $false ),
inference(extuni,[status(esa)],[203:[bind(SV110,$thf( sK1_SY0 ))]]) ).
thf(281,plain,
! [SV109: $i] :
( ( in @ sK21_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ),
inference(extuni,[status(esa)],[204:[bind(SV110,$thf( sK21_E ))]]) ).
thf(282,plain,
! [SV109: $i] :
( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK3_SY17 ) ) )
= $false ),
inference(extuni,[status(esa)],[205:[bind(SV110,$thf( sK3_SY17 ))]]) ).
thf(283,plain,
! [SV109: $i] :
( ( in @ sK13_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ),
inference(extuni,[status(esa)],[206:[bind(SV110,$thf( sK13_E ))]]) ).
thf(284,plain,
! [SV109: $i] :
( ( in @ sK16_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ),
inference(extuni,[status(esa)],[207:[bind(SV110,$thf( sK16_E ))]]) ).
thf(285,plain,
! [SV109: $i] :
( ( in @ sK11_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ),
inference(extuni,[status(esa)],[208:[bind(SV110,$thf( sK11_E ))]]) ).
thf(286,plain,
! [SV109: $i] :
( ( in @ sK14_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ),
inference(extuni,[status(esa)],[209:[bind(SV110,$thf( sK14_E ))]]) ).
thf(287,plain,
! [SV109: $i] :
( ( in @ sK15_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ),
inference(extuni,[status(esa)],[210:[bind(SV110,$thf( sK15_E ))]]) ).
thf(288,plain,
! [SV109: $i] :
( ( in @ sK8_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK8_E ) ) )
= $false ),
inference(extuni,[status(esa)],[211:[bind(SV110,$thf( sK8_E ))]]) ).
thf(289,plain,
! [SV109: $i] :
( ( in @ sK17_E
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ),
inference(extuni,[status(esa)],[212:[bind(SV110,$thf( sK17_E ))]]) ).
thf(291,plain,
! [SV109: $i,SV380: $i > $i,SV110: $i,SV379: $i > $i] :
( ( ( in @ ( SV379 @ SV110 ) @ ( SV380 @ SV110 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ ( SV379 @ SX0 ) @ ( SV380 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV379 @ SV110 ) @ ( SV380 @ SV110 ) )
= $false ) ),
inference(extuni,[status(esa)],[215:[bind(SV111,$thf( ^ [SX0: $i] : ( in @ ( SV379 @ SX0 ) @ ( SV380 @ SX0 ) ) ))]]) ).
thf(292,plain,
! [SV109: $i,SV110: $i,SV180: $i > $i > $o] :
( ( ( SV180 @ SV110
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(293,plain,
! [SV109: $i,SV110: $i,SV180: $i > $i > $o] :
( ( ( SV180 @ SV110
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(294,plain,
! [SV109: $i,SV191: $i > $i > $o] :
( ( ( SV191 @ sK1_SY0
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(295,plain,
! [SV109: $i,SV191: $i > $i > $o] :
( ( ( SV191 @ sK1_SY0
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(296,plain,
! [SV109: $i,SV208: $i > $i > $o] :
( ( ( SV208 @ sK3_SY17
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(297,plain,
! [SV109: $i,SV208: $i > $i > $o] :
( ( ( SV208 @ sK3_SY17
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(298,plain,
! [SV109: $i,SV219: $i > $i > $o] :
( ( ( SV219 @ sK3_SY17
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $false )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(299,plain,
! [SV109: $i,SV219: $i > $i > $o] :
( ( ( SV219 @ sK3_SY17
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( ~ ( in
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) )
@ sK2_SY14 ) )
= $true )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(300,plain,
! [SV111: $i > $o] :
( ( ( SV111 @ ( sK29_E @ SV111 ) )
= $true )
| ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( ~ ( in @ ( sK29_E @ SV111 ) @ sK2_SY14 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(301,plain,
! [SV111: $i > $o] :
( ( ( SV111 @ ( sK29_E @ SV111 ) )
= $false )
| ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( ~ ( in @ ( sK29_E @ SV111 ) @ sK2_SY14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(302,plain,
! [SV109: $i,SV110: $i,SV113: $i > $o] :
( ( ( SV113 @ SV110 )
= $true )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ~ ( SV113 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(303,plain,
! [SV144: $i > $o,SV109: $i,SV110: $i,SV143: $i > $o] :
( ( ( SV143 @ SV110 )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( ( SV143 @ SX0 )
| ( SV144 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(304,plain,
! [SV143: $i > $o,SV109: $i,SV110: $i,SV144: $i > $o] :
( ( ( SV144 @ SV110 )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( ( SV143 @ SX0 )
| ( SV144 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(305,plain,
! [SV180: $i > $i > $o,SV110: $i,SV109: $i] :
( ( ( in
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $true )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV180 @ SV110
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(306,plain,
! [SV180: $i > $i > $o,SV110: $i,SV109: $i] :
( ( ( in
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV180 @ SV110
@ ( sK25_E @ SV109 @ SV110
@ ^ [SX0: $i,SX1: $i] :
~ ( SV180 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(307,plain,
! [SV191: $i > $i > $o,SV109: $i] :
( ( ( in
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $true )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV191 @ sK1_SY0
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(308,plain,
! [SV191: $i > $i > $o,SV109: $i] :
( ( ( in
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV191 @ sK1_SY0
@ ( sK26_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV191 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(309,plain,
! [SV208: $i > $i > $o,SV109: $i] :
( ( ( in
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV208 @ sK3_SY17
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(310,plain,
! [SV208: $i > $i > $o,SV109: $i] :
( ( ( in
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV208 @ sK3_SY17
@ ( sK27_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV208 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(311,plain,
! [SV219: $i > $i > $o,SV109: $i] :
( ( ( in
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV219 @ sK3_SY17
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) )
= $true )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(312,plain,
! [SV219: $i > $i > $o,SV109: $i] :
( ( ( in
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) )
@ sK2_SY14 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( SV219 @ sK3_SY17
@ ( sK28_E @ SV109
@ ^ [SX0: $i,SX1: $i] :
~ ( SV219 @ SX0 @ SX1 ) ) )
= $false )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(313,plain,
! [SV111: $i > $o] :
( ( ( in @ ( sK29_E @ SV111 ) @ sK2_SY14 )
= $true )
| ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( SV111 @ ( sK29_E @ SV111 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(314,plain,
! [SV111: $i > $o] :
( ( ( in @ ( sK29_E @ SV111 ) @ sK2_SY14 )
= $false )
| ( ( SV111 @ sK3_SY17 )
= $false )
| ( ( SV111 @ ( sK29_E @ SV111 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(315,plain,
! [SV109: $i,SV380: $i > $i,SV110: $i,SV379: $i > $i] :
( ( ( in @ ( SV379 @ SV110 ) @ ( SV380 @ SV110 ) )
= $false )
| ( ( in @ SV110
@ ( dsetconstr @ SV109
@ ^ [SX0: $i] :
~ ( in @ ( SV379 @ SX0 ) @ ( SV380 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[291]) ).
thf(318,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,315,314,313,312,311,310,309,308,307,306,305,304,303,302,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,239,238,237,236,235,234,233,232,231,230,229,228,227,226,221,220,188,174,173,172,171,170,157,142,141,140,139,138,129,128,127,124,123,122,121,120,119,106,105,100,99,98,97,96,95,86,85,71,69,68,67,65,58,57,56,19]) ).
thf(319,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU603^2 : TPTP v8.1.0. Released v3.7.0.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 23:00:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 381
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.20/0.48
% 0.20/0.48 Prim_subst applied to clause
% 0.20/0.48
% 0.20/0.48 58:[ 0:<(in@SV20)@((dsetconstr@SV19)@(^[SX0:$i]: (SV18@SX0))) = $false>-w(1)-i() 1:<SV18@SV20 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 21)-o(AXIOM)-fv([ SV18 SV19 SV20 ])
% 0.20/0.51 ...
% 2.54/2.79
% 2.54/2.79 Prim_subst applied to clause
% 2.54/2.79
% 2.54/2.79 174:[ 0:<SV111@SV110 = $false>-w(1)-i() 1:<(in@SV110)@((dsetconstr@SV109)@(^[SX0:$i]: (~ (SV111@SX0)))) = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 53)-o(AXIOM)-fv([ SV109 SV110 SV111 ])
% 2.94/3.15 ....
% 22.29/22.55
% 22.29/22.55 ********************************
% 22.29/22.55 * All subproblems solved! *
% 22.29/22.55 ********************************
% 22.29/22.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:318,loop_count:10,foatp_calls:3,translation:fof_full)
% 22.29/22.59
% 22.29/22.59 %**** Beginning of derivation protocol ****
% 22.29/22.59 % SZS output start CNFRefutation
% See solution above
% 22.29/22.59
% 22.29/22.59 %**** End of derivation protocol ****
% 22.29/22.59 %**** no. of clauses in derivation: 248 ****
% 22.29/22.59 %**** clause counter: 318 ****
% 22.29/22.59
% 22.29/22.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:318,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------