TSTP Solution File: SEU595^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU595^2 : 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 : n005.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 12:13:11 EDT 2022
% Result : Theorem 26.54s 26.78s
% Output : CNFRefutation 26.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 44
% Syntax : Number of formulae : 228 ( 55 unt; 41 typ; 2 def)
% Number of atoms : 1354 ( 559 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 2328 ( 146 ~; 201 |; 2 &;1968 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 209 ( 209 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 41 usr; 31 con; 0-3 aty)
% Number of variables : 788 ( 351 ^ 437 !; 0 ?; 788 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_binintersect,type,
binintersect: $i > $i > $i ).
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 ).
thf(tp_sK26_E,type,
sK26_E: $i ).
thf(tp_sK27_E,type,
sK27_E: $i > $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 > ( $i > $i > $o ) > $i ).
thf(tp_sK2_SY14,type,
sK2_SY14: $i ).
thf(tp_sK30_E,type,
sK30_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK31_E,type,
sK31_E: ( $i > $o ) > $i ).
thf(tp_sK32_E,type,
sK32_E: $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_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 > $i ) > ( $i > $i > $i ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $i ) > ( $i > $i > $i ) > ( $i > $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK9_E,type,
sK9_E: $i ).
thf(binintersect,definition,
( binintersect
= ( ^ [A: $i,B: $i] :
( dsetconstr @ A
@ ^ [Xx: $i] : ( in @ Xx @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersect) ).
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(1,conjecture,
( dsetconstrER
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ A @ B ) )
=> ( in @ Xx @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectER) ).
thf(2,negated_conjecture,
( ( dsetconstrER
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ ( binintersect @ 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,binintersect,dsetconstrER]) ).
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,binintersect,dsetconstrER]) ).
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,
( ( in @ sK3_SY17 @ sK2_SY14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,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(24,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[22:[bind(SV2,$thf( ^ [SV6: $i] : $false ))]]) ).
thf(25,plain,
! [SV5: $i > $o,SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV5 @ SV3 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[22:[bind(SV2,$thf( ^ [SV4: $i] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(26,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV3 = sK1_SY0 )
= $true ) ),
inference(prim_subst,[status(thm)],[22:[bind(SV2,$thf( ^ [SV8: $i] : ( SV8 = sK1_SY0 ) ))]]) ).
thf(27,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV3 = sK3_SY17 )
= $true ) ),
inference(prim_subst,[status(thm)],[22:[bind(SV2,$thf( ^ [SV9: $i] : ( SV9 = sK3_SY17 ) ))]]) ).
thf(28,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV3 = sK2_SY14 )
= $true ) ),
inference(prim_subst,[status(thm)],[22:[bind(SV2,$thf( ^ [SV10: $i] : ( SV10 = sK2_SY14 ) ))]]) ).
thf(29,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)],[22]) ).
thf(31,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)],[29]) ).
thf(43,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 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[31:[bind(SV2,$thf( ^ [SX0: $i] : ~ ( in @ ( SV16 @ SX0 ) @ ( SV17 @ SX0 ) ) ))]]) ).
thf(48,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)],[43]) ).
thf(54,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)],[25]) ).
thf(57,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)],[48]) ).
thf(58,plain,
! [SV1: $i,SV3: $i] :
( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[24]) ).
thf(59,plain,
( ( ( in @ sK3_SY17 @ sK2_SY14 )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false ),
inference(res,[status(thm)],[21,18]) ).
thf(60,plain,
( ( sK2_SY14
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[59]) ).
thf(61,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) )
= $false )
| ( ( SV18 @ SV20 )
= $true ) ),
inference(rename,[status(thm)],[22]) ).
thf(64,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( ( SV18 @ SV20 )
= ( in @ sK3_SY17 @ sK2_SY14 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[61,21]) ).
thf(65,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)],[61,18]) ).
thf(67,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV18,$thf( ^ [SV23: $i] : $false ))]]) ).
thf(68,plain,
! [SV19: $i,SV20: $i] :
( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[67]) ).
thf(69,plain,
! [SV22: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV22 @ SV20 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV18,$thf( ^ [SV21: $i] : ~ ( SV22 @ SV21 ) ))]]) ).
thf(70,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV20 = sK1_SY0 )
= $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV18,$thf( ^ [SV25: $i] : ( SV25 = sK1_SY0 ) ))]]) ).
thf(71,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV20 = sK3_SY17 )
= $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV18,$thf( ^ [SV26: $i] : ( SV26 = sK3_SY17 ) ))]]) ).
thf(72,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV20 = sK2_SY14 )
= $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV18,$thf( ^ [SV27: $i] : ( SV27 = sK2_SY14 ) ))]]) ).
thf(73,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 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV18,$thf( ^ [SV32: $i] : ( ( SV33 @ SV32 ) | ( SV34 @ SV32 ) ) ))]]) ).
thf(74,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 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[61:[bind(SV18,$thf( ^ [SV29: $i] : ( ( SV30 @ SV29 ) = ( SV31 @ SV29 ) ) ))]]) ).
thf(75,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)],[61]) ).
thf(76,plain,
! [SV68: $i > $i > $i,SV67: $i > $i > $i] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV67 @ sK3_SY17 @ SX0 ) @ ( SV68 @ sK3_SY17 @ SX0 ) ) )
@ sK3_SY17 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( in
@ ( SV67
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) )
@ ( SV68
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( SV67
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV68
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( sK4_E @ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(77,plain,
! [SV68: $i > $i > $i,SV67: $i > $i > $i] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV67 @ sK3_SY17 @ SX0 ) @ ( SV68 @ sK3_SY17 @ SX0 ) ) )
@ sK2_SY14 )
= $true )
| ( ( in
@ ( SV67
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) )
@ ( SV68
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( SV67
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV68
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( sK4_E @ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(78,plain,
! [SV68: $i > $i > $i,SV67: $i > $i > $i] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV67 @ sK3_SY17 @ SX0 ) @ ( SV68 @ sK3_SY17 @ SX0 ) ) )
@ sK3_SY17 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( in
@ ( SV67
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) )
@ ( SV68
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ SX0 ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( SV67
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV68
@ ( sK5_E
@ ^ [SX1: $i] : SX1
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ ( sK5_E
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( sK4_E @ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(79,plain,
! [SV68: $i > $i > $i,SV67: $i > $i > $i] :
( ( ( in
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV67 @ sK3_SY17 @ SX0 ) @ ( SV68 @ sK3_SY17 @ SX0 ) ) )
@ sK2_SY14 )
= $true )
| ( ( in
@ ( SV67
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) )
@ ( SV68
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( sK4_E
@ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) )
@ sK2_SY14 ) )
@ ( sK5_E
@ ^ [SX0: $i] : sK2_SY14
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] :
( in
@ ( SV67
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV68
@ ( sK5_E
@ ^ [SX1: $i] : sK2_SY14
@ ^ [SX1: $i,SX2: $i] : ( in @ ( SV67 @ SX1 @ SX2 ) @ ( SV68 @ SX1 @ SX2 ) ) )
@ SX0 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( sK4_E @ ^ [SX1: $i] : ( in @ ( SV67 @ SX0 @ SX1 ) @ ( SV68 @ SX0 @ SX1 ) ) ) @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(80,plain,
! [SV60: $i > $i > $o] :
( ( ( in @ ( sK4_E @ ( SV60 @ sK3_SY17 ) ) @ sK3_SY17 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( in @ ( sK4_E @ ( SV60 @ SX0 ) ) @ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ( SV60
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( sK4_E @ ( SV60 @ SX0 ) ) @ SX0 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] : ( in @ ( sK4_E @ ( SV60 @ SX0 ) ) @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( sK4_E @ ( SV60 @ SX0 ) ) @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(81,plain,
! [SV60: $i > $i > $o] :
( ( ( in @ ( sK4_E @ ( SV60 @ sK3_SY17 ) ) @ sK2_SY14 )
= $true )
| ( ( ( sK4_E
@ ( SV60
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( sK4_E @ ( SV60 @ SX0 ) ) @ sK2_SY14 ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] : ( in @ ( sK4_E @ ( SV60 @ SX0 ) ) @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( sK4_E @ ( SV60 @ SX0 ) ) @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(82,plain,
( ( ( in @ sK3_SY17 @ sK3_SY17 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(83,plain,
( ( in @ sK3_SY17 @ sK2_SY14 )
= $true ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(84,plain,
! [SV57: $i > $i,SV56: $i > $i] :
( ( ( in @ ( SV56 @ sK3_SY17 ) @ ( SV57 @ sK3_SY17 ) )
= $true )
| ( ( in
@ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )
@ ( SV57
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) ) )
= $true )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(85,plain,
! [SV57: $i > $i,SV56: $i > $i] :
( ( ( in @ ( SV56 @ sK3_SY17 ) @ ( SV57 @ sK3_SY17 ) )
= $true )
| ( ( in
@ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) )
@ ( SV57
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) ) ) )
= $false )
| ( ( in
@ ( sK4_E
@ ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) ) )),bind(SV19,$thf( sK1_SY0 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(86,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 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[65:[bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(87,plain,
! [SV19: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY17 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV20,$thf( sK3_SY17 )),bind(SV18,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(88,plain,
! [SV19: $i] :
( ( in @ sK3_SY17
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[64:[bind(SV20,$thf( sK3_SY17 )),bind(SV18,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ))]]) ).
thf(89,plain,
! [SV19: $i] :
( ( in @ sK2_SY14
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[64:[bind(SV20,$thf( sK2_SY14 )),bind(SV18,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(90,plain,
! [SV19: $i,SV20: $i] :
( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ sK2_SY14 ) ))]]) ).
thf(91,plain,
! [SV174: $i > $i,SV173: $i > $i,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( in @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV173 @ SV20 ) @ ( SV174 @ SV20 ) )
= $true )
| ( ( in @ sK3_SY17 @ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ))]]) ).
thf(92,plain,
! [SV174: $i > $i,SV173: $i > $i,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( in @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV173 @ SV20 ) @ ( SV174 @ SV20 ) )
= $false )
| ( ( in @ sK3_SY17 @ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( in @ ( SV173 @ SX0 ) @ ( SV174 @ SX0 ) ) ))]]) ).
thf(96,plain,
! [SV19: $i,SV191: $i > $i,SV20: $i,SV190: $i > $i] :
( ( ( in @ ( SV190 @ SV20 ) @ ( SV191 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV190 @ SX0 ) @ ( SV191 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in @ ( SV190 @ SV20 ) @ ( SV191 @ SV20 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[75:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( SV190 @ SX0 ) @ ( SV191 @ SX0 ) ) ))]]) ).
thf(97,plain,
! [SV19: $i,SV20: $i,SV187: $i > $o] :
( ( ( ~ ( SV187 @ SV20 ) )
= $true )
| ( ( ~ ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV187 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV187 @ SV20 ) )
= $true ) ),
inference(extuni,[status(esa)],[75:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( SV187 @ SX0 ) ))]]) ).
thf(99,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)],[69]) ).
thf(100,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)],[73]) ).
thf(102,plain,
! [SV19: $i,SV20: $i,SV187: $i > $o] :
( ( ( SV187 @ SV20 )
= $false )
| ( ( ~ ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV187 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV187 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV19: $i,SV191: $i > $i,SV20: $i,SV190: $i > $i] :
( ( ( in @ ( SV190 @ SV20 ) @ ( SV191 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV190 @ SX0 ) @ ( SV191 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV190 @ SV20 ) @ ( SV191 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV187: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV187 @ SX0 ) ) )
= $false )
| ( ( SV187 @ SV20 )
= $false )
| ( ( ~ ( SV187 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(108,plain,
! [SV19: $i,SV20: $i,SV187: $i > $o] :
( ( ( SV187 @ SV20 )
= $false )
| ( ( SV187 @ SV20 )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV187 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(109,plain,
! [SV19: $i,SV20: $i,SV187: $i > $o] :
( ( ( SV187 @ SV20 )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV187 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[108]) ).
thf(110,plain,
! [SV19: $i,SV191: $i > $i,SV20: $i,SV190: $i > $i] :
( ( ( in @ ( SV190 @ SV20 ) @ ( SV191 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV190 @ SX0 ) @ ( SV191 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[103]) ).
thf(111,plain,
! [SV192: $i,SV193: $i] :
( ( ( in @ SV193
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV193 = sK1_SY0 )
= $true ) ),
inference(rename,[status(thm)],[26]) ).
thf(117,plain,
! [SV192: $i,SV193: $i] :
( ( ( ( in @ SV193
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( SV193 = sK1_SY0 )
= $true ) ),
inference(res,[status(thm)],[111,18]) ).
thf(118,plain,
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( sK10_E = sK1_SY0 )
= $true )
| ( ( in @ sK10_E @ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[117:[bind(SV192,$thf( sK1_SY0 )),bind(SV193,$thf( sK3_SY17 ))]]) ).
thf(119,plain,
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( sK10_E = sK1_SY0 )
= $false )
| ( ( in @ sK10_E @ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[117:[bind(SV192,$thf( sK1_SY0 )),bind(SV193,$thf( sK3_SY17 ))]]) ).
thf(120,plain,
! [SV192: $i] :
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[117:[bind(SV193,$thf( sK3_SY17 ))]]) ).
thf(121,plain,
! [SV194: $i,SV195: $i] :
( ( ( in @ SV195
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV195 = sK3_SY17 )
= $true ) ),
inference(rename,[status(thm)],[27]) ).
thf(133,plain,
! [SV196: $i,SV197: $i] :
( ( ( in @ SV197
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV197 = sK2_SY14 )
= $true ) ),
inference(rename,[status(thm)],[28]) ).
thf(143,plain,
! [SV196: $i,SV197: $i] :
( ( ( ( in @ SV197
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( SV197 = sK2_SY14 )
= $true ) ),
inference(res,[status(thm)],[133,18]) ).
thf(144,plain,
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( sK22_E = sK2_SY14 )
= $true )
| ( ( in @ sK22_E @ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[143:[bind(SV196,$thf( sK1_SY0 )),bind(SV197,$thf( sK3_SY17 ))]]) ).
thf(145,plain,
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( sK22_E = sK2_SY14 )
= $false )
| ( ( in @ sK22_E @ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV196,$thf( sK1_SY0 )),bind(SV197,$thf( sK3_SY17 ))]]) ).
thf(146,plain,
! [SV196: $i] :
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV197,$thf( sK3_SY17 ))]]) ).
thf(147,plain,
! [SV198: $i,SV199: $i,SV200: $i > $o] :
( ( ( SV200 @ SV199 )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) ) )
= $false ) ),
inference(rename,[status(thm)],[54]) ).
thf(149,plain,
! [SV198: $i,SV199: $i,SV200: $i > $o,SV196: $i,SV197: $i] :
( ( ( ( SV200 @ SV199 )
= ( SV197 = sK2_SY14 ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) ) )
= $false )
| ( ( in @ SV197
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false ) ),
inference(res,[status(thm)],[147,133]) ).
thf(151,plain,
! [SV198: $i,SV199: $i,SV200: $i > $o,SV194: $i,SV195: $i] :
( ( ( ( SV200 @ SV199 )
= ( SV195 = sK3_SY17 ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) ) )
= $false )
| ( ( in @ SV195
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false ) ),
inference(res,[status(thm)],[147,121]) ).
thf(153,plain,
! [SV198: $i,SV199: $i,SV200: $i > $o,SV192: $i,SV193: $i] :
( ( ( ( SV200 @ SV199 )
= ( SV193 = sK1_SY0 ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) ) )
= $false )
| ( ( in @ SV193
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false ) ),
inference(res,[status(thm)],[147,111]) ).
thf(156,plain,
! [SV198: $i,SV199: $i,SV200: $i > $o] :
( ( ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( SV200 @ SV199 )
= $false ) ),
inference(res,[status(thm)],[147,18]) ).
thf(157,plain,
! [SV198: $i,SV199: $i,SV200: $i > $o] :
( ( ( ( SV200 @ SV199 )
= ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[147,18]) ).
thf(158,plain,
! [SV198: $i,SV199: $i] :
( ( $true = $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ~ $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV204: $i] : $true ))]]) ).
thf(159,plain,
! [SV198: $i,SV199: $i] :
( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ~ $true ) )
= $false ),
inference(sim,[status(thm)],[158]) ).
thf(161,plain,
! [SV198: $i,SV199: $i,SV202: $i > $o] :
( ( ( ~ ( SV202 @ SV199 ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ~ ( SV202 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV201: $i] : ~ ( SV202 @ SV201 ) ))]]) ).
thf(162,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK12_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK12_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV205: $i] : ( SV205 = sK12_E ) ))]]) ).
thf(163,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK19_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK19_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV206: $i] : ( SV206 = sK19_E ) ))]]) ).
thf(164,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK25_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK25_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV207: $i] : ( SV207 = sK25_E ) ))]]) ).
thf(165,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK23_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV208: $i] : ( SV208 = sK23_E ) ))]]) ).
thf(166,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK2_SY14 )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK2_SY14 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV209: $i] : ( SV209 = sK2_SY14 ) ))]]) ).
thf(167,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK22_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV210: $i] : ( SV210 = sK22_E ) ))]]) ).
thf(168,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK26_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK26_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV211: $i] : ( SV211 = sK26_E ) ))]]) ).
thf(169,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK18_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV212: $i] : ( SV212 = sK18_E ) ))]]) ).
thf(170,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK9_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV213: $i] : ( SV213 = sK9_E ) ))]]) ).
thf(171,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK10_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV214: $i] : ( SV214 = sK10_E ) ))]]) ).
thf(172,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK20_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV215: $i] : ( SV215 = sK20_E ) ))]]) ).
thf(173,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK24_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK24_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV216: $i] : ( SV216 = sK24_E ) ))]]) ).
thf(174,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK1_SY0 )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK1_SY0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV217: $i] : ( SV217 = sK1_SY0 ) ))]]) ).
thf(175,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK21_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV218: $i] : ( SV218 = sK21_E ) ))]]) ).
thf(176,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK3_SY17 )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK3_SY17 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV219: $i] : ( SV219 = sK3_SY17 ) ))]]) ).
thf(177,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK13_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV220: $i] : ( SV220 = sK13_E ) ))]]) ).
thf(178,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK16_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV221: $i] : ( SV221 = sK16_E ) ))]]) ).
thf(179,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK11_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV222: $i] : ( SV222 = sK11_E ) ))]]) ).
thf(180,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK14_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV223: $i] : ( SV223 = sK14_E ) ))]]) ).
thf(181,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK15_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV224: $i] : ( SV224 = sK15_E ) ))]]) ).
thf(182,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK8_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK8_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV225: $i] : ( SV225 = sK8_E ) ))]]) ).
thf(183,plain,
! [SV198: $i,SV199: $i] :
( ( ( SV199 = sK17_E )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV226: $i] : ( SV226 = sK17_E ) ))]]) ).
thf(184,plain,
! [SV198: $i,SV233: $i > $o,SV199: $i,SV232: $i > $o] :
( ( ( ( SV232 @ SV199 )
| ( SV233 @ SV199 ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( ( SV232 @ SX0 )
| ( SV233 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[147:[bind(SV200,$thf( ^ [SV231: $i] : ( ( SV232 @ SV231 ) | ( SV233 @ SV231 ) ) ))]]) ).
thf(186,plain,
! [SV198: $i,SV199: $i,SV200: $i > $o] :
( ( ( SV200 @ SV199 )
= $false )
| ( ( ( SV200 @ SV199 )
= ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[147]) ).
thf(187,plain,
! [SV313: $i > $i > $i,SV312: $i > $i > $i,SV198: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV312 @ sK3_SY17
@ ( sK30_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) )
@ ( SV313 @ sK3_SY17
@ ( sK30_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK30_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $true )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(188,plain,
! [SV313: $i > $i > $i,SV312: $i > $i > $i,SV198: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV312 @ sK3_SY17
@ ( sK30_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) )
@ ( SV313 @ sK3_SY17
@ ( sK30_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK30_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $false )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( in @ ( SV312 @ SX0 @ SX1 ) @ ( SV313 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(189,plain,
! [SV301: $i > $i > $i,SV300: $i > $i > $i,SV198: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV300 @ sK3_SY17
@ ( sK29_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) )
@ ( SV301 @ sK3_SY17
@ ( sK29_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK29_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(190,plain,
! [SV301: $i > $i > $i,SV300: $i > $i > $i,SV198: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV300 @ sK3_SY17
@ ( sK29_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) )
@ ( SV301 @ sK3_SY17
@ ( sK29_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK29_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ( in @ ( SV300 @ SX0 @ SX1 ) @ ( SV301 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(191,plain,
! [SV293: $i > $i > $o,SV292: $i > $i,SV198: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV292 @ SX0 ) @ ( SV293 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV292 @ sK3_SY17 ) @ ( SV293 @ sK3_SY17 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV292 @ SX0 ) @ ( SV293 @ SX0 ) ) ) ))]]) ).
thf(192,plain,
! [SV198: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY17
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(193,plain,
! [SV283: $i > $i > $i,SV282: $i > $i > $i,SV198: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV282 @ sK1_SY0
@ ( sK28_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) )
@ ( SV283 @ sK1_SY0
@ ( sK28_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK28_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK1_SY0 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(194,plain,
! [SV283: $i > $i > $i,SV282: $i > $i > $i,SV198: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV282 @ sK1_SY0
@ ( sK28_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) )
@ ( SV283 @ sK1_SY0
@ ( sK28_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK28_E @ SV198
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( sK1_SY0 )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( in @ ( SV282 @ SX0 @ SX1 ) @ ( SV283 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(195,plain,
! [SV270: $i > $i > $i,SV269: $i > $i > $i,SV198: $i,SV199: $i] :
( ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV269 @ SV199
@ ( sK27_E @ SV198 @ SV199
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
@ ( SV270 @ SV199
@ ( sK27_E @ SV198 @ SV199
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( in
@ ( sK27_E @ SV198 @ SV199
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[157:[bind(SV200,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(196,plain,
! [SV270: $i > $i > $i,SV269: $i > $i > $i,SV198: $i,SV199: $i] :
( ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( in
@ ( SV269 @ SV199
@ ( sK27_E @ SV198 @ SV199
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
@ ( SV270 @ SV199
@ ( sK27_E @ SV198 @ SV199
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( in
@ ( sK27_E @ SV198 @ SV199
@ ^ [SX0: $i,SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) )
@ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV200,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ sK1_SY0 @ ^ [SX1: $i] : ( in @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(197,plain,
! [SV262: $i > $i > $o,SV261: $i > $i,SV198: $i,SV199: $i] :
( ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ ( dsetconstr @ ( SV261 @ SX0 ) @ ( SV262 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV261 @ SV199 ) @ ( SV262 @ SV199 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV200,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( SV261 @ SX0 ) @ ( SV262 @ SX0 ) ) ) ))]]) ).
thf(198,plain,
! [SV198: $i] :
( ( in
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) )
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[157:[bind(SV199,$thf( dsetconstr @ sK1_SY0 @ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) )),bind(SV200,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(199,plain,
! [SV256: $i > $i,SV255: $i > $i,SV198: $i,SV199: $i] :
( ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV255 @ SV199 ) @ ( SV256 @ SV199 ) )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[157:[bind(SV200,$thf( ^ [SX0: $i] : ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ))]]) ).
thf(200,plain,
! [SV256: $i > $i,SV255: $i > $i,SV198: $i,SV199: $i] :
( ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV255 @ SV199 ) @ ( SV256 @ SV199 ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV200,$thf( ^ [SX0: $i] : ( in @ ( SV255 @ SX0 ) @ ( SV256 @ SX0 ) ) ))]]) ).
thf(201,plain,
! [SV200: $i > $o] :
( ( ( SV200 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV200 @ ( sK31_E @ SV200 ) ) )
= $true )
| ( ( in @ ( sK31_E @ SV200 ) @ sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[156:[bind(SV198,$thf( sK1_SY0 )),bind(SV199,$thf( sK3_SY17 ))]]) ).
thf(202,plain,
! [SV200: $i > $o] :
( ( ( SV200 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV200 @ ( sK31_E @ SV200 ) ) )
= $false )
| ( ( in @ ( sK31_E @ SV200 ) @ sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV198,$thf( sK1_SY0 )),bind(SV199,$thf( sK3_SY17 ))]]) ).
thf(203,plain,
! [SV198: $i,SV200: $i > $o] :
( ( ( SV200 @ sK3_SY17 )
= $false )
| ( ( ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( SV200 @ SX0 ) )
= ( dsetconstr @ sK1_SY0
@ ^ [SX0: $i] : ( in @ SX0 @ sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[156:[bind(SV199,$thf( sK3_SY17 ))]]) ).
thf(204,plain,
! [SV198: $i,SV192: $i,SV323: $i > $i] :
( ( ( in @ ( SV323 @ sK1_SY0 )
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( SX0
!= ( SV323 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV199,$thf( sK1_SY0 )),bind(SV193,$thf( SV323 @ sK1_SY0 )),bind(SV200,$thf( ^ [SX0: $i] : ( SX0 = ( SV323 @ SX0 ) ) ))]]) ).
thf(205,plain,
! [SV198: $i,SV192: $i,SV199: $i,SV323: $i > $i] :
( ( ( in @ ( SV323 @ SV199 )
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( sK1_SY0
!= ( SV323 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV193,$thf( SV323 @ SV199 )),bind(SV200,$thf( ^ [SX0: $i] : ( sK1_SY0 = ( SV323 @ SX0 ) ) ))]]) ).
thf(206,plain,
! [SV198: $i,SV192: $i,SV322: $i > $i] :
( ( ( in @ ( SV322 @ sK1_SY0 )
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV322 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV199,$thf( sK1_SY0 )),bind(SV193,$thf( SV322 @ sK1_SY0 )),bind(SV200,$thf( ^ [SX0: $i] : ( ( SV322 @ SX0 ) = SX0 ) ))]]) ).
thf(207,plain,
! [SV198: $i,SV192: $i,SV199: $i,SV322: $i > $i] :
( ( ( in @ ( SV322 @ SV199 )
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV322 @ SX0 )
!= sK1_SY0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV193,$thf( SV322 @ SV199 )),bind(SV200,$thf( ^ [SX0: $i] : ( ( SV322 @ SX0 ) = sK1_SY0 ) ))]]) ).
thf(208,plain,
! [SV323: $i > $i,SV322: $i > $i,SV198: $i,SV199: $i,SV192: $i,SV193: $i] :
( ( ( in @ SV193
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV322 @ SX0 )
!= ( SV323 @ SX0 ) ) ) )
= $false )
| ( ( ( SV322 @ SV199 )
= ( SV323 @ SV199 ) )
= $true )
| ( ( SV193 = sK1_SY0 )
= $true ) ),
inference(extuni,[status(esa)],[153:[bind(SV200,$thf( ^ [SX0: $i] : ( ( SV322 @ SX0 ) = ( SV323 @ SX0 ) ) ))]]) ).
thf(209,plain,
! [SV323: $i > $i,SV322: $i > $i,SV198: $i,SV199: $i,SV192: $i,SV193: $i] :
( ( ( in @ SV193
@ ( dsetconstr @ SV192
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV322 @ SX0 )
!= ( SV323 @ SX0 ) ) ) )
= $false )
| ( ( ( SV322 @ SV199 )
= ( SV323 @ SV199 ) )
= $false )
| ( ( SV193 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[153:[bind(SV200,$thf( ^ [SX0: $i] : ( ( SV322 @ SX0 ) = ( SV323 @ SX0 ) ) ))]]) ).
thf(210,plain,
! [SV198: $i,SV194: $i,SV331: $i > $i] :
( ( ( in @ ( SV331 @ sK3_SY17 )
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( SX0
!= ( SV331 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV199,$thf( sK3_SY17 )),bind(SV195,$thf( SV331 @ sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( SX0 = ( SV331 @ SX0 ) ) ))]]) ).
thf(211,plain,
! [SV198: $i,SV194: $i,SV199: $i,SV331: $i > $i] :
( ( ( in @ ( SV331 @ SV199 )
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( sK3_SY17
!= ( SV331 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV195,$thf( SV331 @ SV199 )),bind(SV200,$thf( ^ [SX0: $i] : ( sK3_SY17 = ( SV331 @ SX0 ) ) ))]]) ).
thf(212,plain,
! [SV198: $i,SV194: $i,SV330: $i > $i] :
( ( ( in @ ( SV330 @ sK3_SY17 )
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV330 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV199,$thf( sK3_SY17 )),bind(SV195,$thf( SV330 @ sK3_SY17 )),bind(SV200,$thf( ^ [SX0: $i] : ( ( SV330 @ SX0 ) = SX0 ) ))]]) ).
thf(213,plain,
! [SV198: $i,SV194: $i,SV199: $i,SV330: $i > $i] :
( ( ( in @ ( SV330 @ SV199 )
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV330 @ SX0 )
!= sK3_SY17 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV195,$thf( SV330 @ SV199 )),bind(SV200,$thf( ^ [SX0: $i] : ( ( SV330 @ SX0 ) = sK3_SY17 ) ))]]) ).
thf(214,plain,
! [SV331: $i > $i,SV330: $i > $i,SV198: $i,SV199: $i,SV194: $i,SV195: $i] :
( ( ( in @ SV195
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV330 @ SX0 )
!= ( SV331 @ SX0 ) ) ) )
= $false )
| ( ( ( SV330 @ SV199 )
= ( SV331 @ SV199 ) )
= $true )
| ( ( SV195 = sK3_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[151:[bind(SV200,$thf( ^ [SX0: $i] : ( ( SV330 @ SX0 ) = ( SV331 @ SX0 ) ) ))]]) ).
thf(215,plain,
! [SV331: $i > $i,SV330: $i > $i,SV198: $i,SV199: $i,SV194: $i,SV195: $i] :
( ( ( in @ SV195
@ ( dsetconstr @ SV194
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV330 @ SX0 )
!= ( SV331 @ SX0 ) ) ) )
= $false )
| ( ( ( SV330 @ SV199 )
= ( SV331 @ SV199 ) )
= $false )
| ( ( SV195 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[151:[bind(SV200,$thf( ^ [SX0: $i] : ( ( SV330 @ SX0 ) = ( SV331 @ SX0 ) ) ))]]) ).
thf(216,plain,
! [SV198: $i,SV196: $i,SV339: $i > $i] :
( ( ( in @ ( SV339 @ sK2_SY14 )
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( SX0
!= ( SV339 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV199,$thf( sK2_SY14 )),bind(SV197,$thf( SV339 @ sK2_SY14 )),bind(SV200,$thf( ^ [SX0: $i] : ( SX0 = ( SV339 @ SX0 ) ) ))]]) ).
thf(217,plain,
! [SV198: $i,SV196: $i,SV199: $i,SV339: $i > $i] :
( ( ( in @ ( SV339 @ SV199 )
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( sK2_SY14
!= ( SV339 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV197,$thf( SV339 @ SV199 )),bind(SV200,$thf( ^ [SX0: $i] : ( sK2_SY14 = ( SV339 @ SX0 ) ) ))]]) ).
thf(218,plain,
! [SV198: $i,SV196: $i,SV338: $i > $i] :
( ( ( in @ ( SV338 @ sK2_SY14 )
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV338 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV199,$thf( sK2_SY14 )),bind(SV197,$thf( SV338 @ sK2_SY14 )),bind(SV200,$thf( ^ [SX0: $i] : ( ( SV338 @ SX0 ) = SX0 ) ))]]) ).
thf(219,plain,
! [SV198: $i,SV196: $i,SV199: $i,SV338: $i > $i] :
( ( ( in @ ( SV338 @ SV199 )
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV338 @ SX0 )
!= sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV197,$thf( SV338 @ SV199 )),bind(SV200,$thf( ^ [SX0: $i] : ( ( SV338 @ SX0 ) = sK2_SY14 ) ))]]) ).
thf(220,plain,
! [SV339: $i > $i,SV338: $i > $i,SV198: $i,SV199: $i,SV196: $i,SV197: $i] :
( ( ( in @ SV197
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV338 @ SX0 )
!= ( SV339 @ SX0 ) ) ) )
= $false )
| ( ( ( SV338 @ SV199 )
= ( SV339 @ SV199 ) )
= $true )
| ( ( SV197 = sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[149:[bind(SV200,$thf( ^ [SX0: $i] : ( ( SV338 @ SX0 ) = ( SV339 @ SX0 ) ) ))]]) ).
thf(221,plain,
! [SV339: $i > $i,SV338: $i > $i,SV198: $i,SV199: $i,SV196: $i,SV197: $i] :
( ( ( in @ SV197
@ ( dsetconstr @ SV196
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
( ( SV338 @ SX0 )
!= ( SV339 @ SX0 ) ) ) )
= $false )
| ( ( ( SV338 @ SV199 )
= ( SV339 @ SV199 ) )
= $false )
| ( ( SV197 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV200,$thf( ^ [SX0: $i] : ( ( SV338 @ SX0 ) = ( SV339 @ SX0 ) ) ))]]) ).
thf(222,plain,
! [SV198: $i] :
( ( in @ sK12_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK12_E ) ) )
= $false ),
inference(extuni,[status(esa)],[162:[bind(SV199,$thf( sK12_E ))]]) ).
thf(223,plain,
! [SV198: $i] :
( ( in @ sK19_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK19_E ) ) )
= $false ),
inference(extuni,[status(esa)],[163:[bind(SV199,$thf( sK19_E ))]]) ).
thf(224,plain,
! [SV198: $i] :
( ( in @ sK25_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK25_E ) ) )
= $false ),
inference(extuni,[status(esa)],[164:[bind(SV199,$thf( sK25_E ))]]) ).
thf(225,plain,
! [SV198: $i] :
( ( in @ sK23_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ),
inference(extuni,[status(esa)],[165:[bind(SV199,$thf( sK23_E ))]]) ).
thf(226,plain,
! [SV198: $i] :
( ( in @ sK2_SY14
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[166:[bind(SV199,$thf( sK2_SY14 ))]]) ).
thf(227,plain,
! [SV198: $i] :
( ( in @ sK22_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ),
inference(extuni,[status(esa)],[167:[bind(SV199,$thf( sK22_E ))]]) ).
thf(228,plain,
! [SV198: $i] :
( ( in @ sK26_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK26_E ) ) )
= $false ),
inference(extuni,[status(esa)],[168:[bind(SV199,$thf( sK26_E ))]]) ).
thf(229,plain,
! [SV198: $i] :
( ( in @ sK18_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ),
inference(extuni,[status(esa)],[169:[bind(SV199,$thf( sK18_E ))]]) ).
thf(230,plain,
! [SV198: $i] :
( ( in @ sK9_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ),
inference(extuni,[status(esa)],[170:[bind(SV199,$thf( sK9_E ))]]) ).
thf(231,plain,
! [SV198: $i] :
( ( in @ sK10_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ),
inference(extuni,[status(esa)],[171:[bind(SV199,$thf( sK10_E ))]]) ).
thf(232,plain,
! [SV198: $i] :
( ( in @ sK20_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ),
inference(extuni,[status(esa)],[172:[bind(SV199,$thf( sK20_E ))]]) ).
thf(233,plain,
! [SV198: $i] :
( ( in @ sK24_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK24_E ) ) )
= $false ),
inference(extuni,[status(esa)],[173:[bind(SV199,$thf( sK24_E ))]]) ).
thf(234,plain,
! [SV198: $i] :
( ( in @ sK1_SY0
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK1_SY0 ) ) )
= $false ),
inference(extuni,[status(esa)],[174:[bind(SV199,$thf( sK1_SY0 ))]]) ).
thf(235,plain,
! [SV198: $i] :
( ( in @ sK21_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ),
inference(extuni,[status(esa)],[175:[bind(SV199,$thf( sK21_E ))]]) ).
thf(236,plain,
! [SV198: $i] :
( ( in @ sK3_SY17
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK3_SY17 ) ) )
= $false ),
inference(extuni,[status(esa)],[176:[bind(SV199,$thf( sK3_SY17 ))]]) ).
thf(237,plain,
! [SV198: $i] :
( ( in @ sK13_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ),
inference(extuni,[status(esa)],[177:[bind(SV199,$thf( sK13_E ))]]) ).
thf(238,plain,
! [SV198: $i] :
( ( in @ sK16_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ),
inference(extuni,[status(esa)],[178:[bind(SV199,$thf( sK16_E ))]]) ).
thf(239,plain,
! [SV198: $i] :
( ( in @ sK11_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ),
inference(extuni,[status(esa)],[179:[bind(SV199,$thf( sK11_E ))]]) ).
thf(240,plain,
! [SV198: $i] :
( ( in @ sK14_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ),
inference(extuni,[status(esa)],[180:[bind(SV199,$thf( sK14_E ))]]) ).
thf(241,plain,
! [SV198: $i] :
( ( in @ sK15_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ),
inference(extuni,[status(esa)],[181:[bind(SV199,$thf( sK15_E ))]]) ).
thf(242,plain,
! [SV198: $i] :
( ( in @ sK8_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK8_E ) ) )
= $false ),
inference(extuni,[status(esa)],[182:[bind(SV199,$thf( sK8_E ))]]) ).
thf(243,plain,
! [SV198: $i] :
( ( in @ sK17_E
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ),
inference(extuni,[status(esa)],[183:[bind(SV199,$thf( sK17_E ))]]) ).
thf(245,plain,
! [SV198: $i,SV347: $i > $i,SV199: $i,SV346: $i > $i] :
( ( ( in @ ( SV346 @ SV199 ) @ ( SV347 @ SV199 ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ ( SV346 @ SX0 ) @ ( SV347 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV346 @ SV199 ) @ ( SV347 @ SV199 ) )
= $false ) ),
inference(extuni,[status(esa)],[186:[bind(SV200,$thf( ^ [SX0: $i] : ( in @ ( SV346 @ SX0 ) @ ( SV347 @ SX0 ) ) ))]]) ).
thf(246,plain,
! [SV200: $i > $o] :
( ( ( SV200 @ ( sK31_E @ SV200 ) )
= $true )
| ( ( SV200 @ sK3_SY17 )
= $false )
| ( ( in @ ( sK31_E @ SV200 ) @ sK2_SY14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(247,plain,
! [SV200: $i > $o] :
( ( ( SV200 @ ( sK31_E @ SV200 ) )
= $false )
| ( ( SV200 @ sK3_SY17 )
= $false )
| ( ( in @ ( sK31_E @ SV200 ) @ sK2_SY14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(248,plain,
! [SV198: $i,SV199: $i,SV202: $i > $o] :
( ( ( SV202 @ SV199 )
= $true )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ~ ( SV202 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(249,plain,
! [SV233: $i > $o,SV198: $i,SV199: $i,SV232: $i > $o] :
( ( ( SV232 @ SV199 )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( ( SV232 @ SX0 )
| ( SV233 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(250,plain,
! [SV232: $i > $o,SV198: $i,SV199: $i,SV233: $i > $o] :
( ( ( SV233 @ SV199 )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( ( SV232 @ SX0 )
| ( SV233 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(251,plain,
! [SV198: $i,SV347: $i > $i,SV199: $i,SV346: $i > $i] :
( ( ( in @ ( SV346 @ SV199 ) @ ( SV347 @ SV199 ) )
= $false )
| ( ( in @ SV199
@ ( dsetconstr @ SV198
@ ^ [SX0: $i] :
~ ( in @ ( SV346 @ SX0 ) @ ( SV347 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[245]) ).
thf(254,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,251,250,249,248,247,246,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,200,199,198,197,196,195,194,193,192,191,190,189,188,187,159,147,146,145,144,133,121,120,119,118,111,110,109,100,99,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,74,72,71,70,68,61,60,58,57,21]) ).
thf(255,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU595^2 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 09:04:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 389
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.18/0.47
% 0.18/0.47 Prim_subst applied to clause
% 0.18/0.47
% 0.18/0.47 61:[ 0:<(in@SV20)@((dsetconstr@SV19)@(^[SX0:$i]: (SV18@SX0))) = $false>-w(1)-i() 1:<SV18@SV20 = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 22)-o(AXIOM)-fv([ SV18 SV19 SV20 ])
% 0.18/0.50 ....
% 10.77/10.97
% 10.77/10.97 Prim_subst applied to clause
% 10.77/10.97
% 10.77/10.97 147:[ 0:<SV200@SV199 = $false>-w(1)-i() 1:<(in@SV199)@((dsetconstr@SV198)@(^[SX0:$i]: (~ (SV200@SX0)))) = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 54)-o(AXIOM)-fv([ SV198 SV199 SV200 ])
% 12.79/13.02 ..
% 26.54/26.78
% 26.54/26.78 ********************************
% 26.54/26.78 * All subproblems solved! *
% 26.54/26.78 ********************************
% 26.54/26.78 % 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:254,loop_count:10,foatp_calls:3,translation:fof_full)
% 26.54/26.81
% 26.54/26.81 %**** Beginning of derivation protocol ****
% 26.54/26.81 % SZS output start CNFRefutation
% See solution above
% 26.54/26.81
% 26.54/26.81 %**** End of derivation protocol ****
% 26.54/26.81 %**** no. of clauses in derivation: 185 ****
% 26.54/26.81 %**** clause counter: 254 ****
% 26.54/26.81
% 26.54/26.81 % 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:254,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------