TSTP Solution File: SEU800^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU800^2 : 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 : n014.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 12:14:51 EDT 2022
% Result : Theorem 19.42s 19.73s
% Output : CNFRefutation 19.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 47
% Syntax : Number of formulae : 241 ( 54 unt; 44 typ; 2 def)
% Number of atoms : 1584 ( 619 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 3862 ( 146 ~; 231 |; 2 &;3472 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 279 ( 279 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 44 usr; 31 con; 0-5 aty)
% Number of variables : 970 ( 491 ^ 479 !; 0 ?; 970 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrER,type,
dsetconstrER: $o ).
thf(tp_funcSet,type,
funcSet: $i > $i > $i ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_injFuncSet,type,
injFuncSet: $i > $i > $i ).
thf(tp_injective,type,
injective: $i > $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 ).
thf(tp_sK28_E,type,
sK28_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK29_E,type,
sK29_E: ( $i > $i ) > ( $i > $i ) > $i > $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 > $i ) > ( $i > $i ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK32_E,type,
sK32_E: ( $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 > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: ( $i > $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: ( $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: ( $i > $i > $o ) > $i ).
thf(tp_sK9_E,type,
sK9_E: $i ).
thf(dsetconstrER,definition,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER) ).
thf(injFuncSet,definition,
( injFuncSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( funcSet @ A @ B )
@ ^ [Xf: $i] : ( injective @ A @ B @ Xf ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',injFuncSet) ).
thf(1,conjecture,
( dsetconstrER
=> ! [Xx: $i,Xy: $i,Xf: $i] :
( ( in @ Xf @ ( injFuncSet @ Xx @ Xy ) )
=> ( injective @ Xx @ Xy @ Xf ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',injFuncSetFuncInj) ).
thf(2,negated_conjecture,
( ( dsetconstrER
=> ! [Xx: $i,Xy: $i,Xf: $i] :
( ( in @ Xf @ ( injFuncSet @ Xx @ Xy ) )
=> ( injective @ Xx @ Xy @ Xf ) ) )
= $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 @ ( funcSet @ SY0 @ SY1 )
@ ^ [SY5: $i] : ( injective @ SY0 @ SY1 @ SY5 ) ) )
=> ( injective @ SY0 @ SY1 @ SY2 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrER,injFuncSet]) ).
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 @ ( funcSet @ SY0 @ SY1 )
@ ^ [SY5: $i] : ( injective @ SY0 @ SY1 @ SY5 ) ) )
=> ( injective @ SY0 @ SY1 @ SY2 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2
@ ( dsetconstr @ ( funcSet @ SY0 @ SY1 )
@ ^ [SY5: $i] : ( injective @ SY0 @ SY1 @ SY5 ) ) )
=> ( injective @ SY0 @ SY1 @ SY2 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SY18: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SY18 ) ) )
& ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $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 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SY18: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SY18 ) ) )
& ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
| ~ ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,dsetconstrER,injFuncSet]) ).
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 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
| ~ ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $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 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $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 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $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,
( ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
= $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(60,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(63,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( ( SV18 @ SV20 )
= ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[60,21]) ).
thf(64,plain,
! [SV18: $i > $o,SV19: $i,SV20: $i] :
( ( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( SV18 @ SV20 )
= $true ) ),
inference(res,[status(thm)],[60,18]) ).
thf(66,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : $false ) )
= $false )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV18,$thf( ^ [SV23: $i] : $false ))]]) ).
thf(67,plain,
! [SV19: $i,SV20: $i] :
( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : $false ) )
= $false ),
inference(sim,[status(thm)],[66]) ).
thf(68,plain,
! [SV22: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV22 @ SX0 ) ) )
= $false )
| ( ( ~ ( SV22 @ SV20 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV18,$thf( ^ [SV21: $i] : ~ ( SV22 @ SV21 ) ))]]) ).
thf(69,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV20 = sK3_SY17 )
= $true ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV18,$thf( ^ [SV25: $i] : ( SV25 = sK3_SY17 ) ))]]) ).
thf(70,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV20 = sK2_SY14 )
= $true ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV18,$thf( ^ [SV26: $i] : ( SV26 = sK2_SY14 ) ))]]) ).
thf(71,plain,
! [SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV20 = sK1_SY0 )
= $true ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV18,$thf( ^ [SV27: $i] : ( SV27 = sK1_SY0 ) ))]]) ).
thf(72,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 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV18,$thf( ^ [SV32: $i] : ( ( SV33 @ SV32 ) | ( SV34 @ SV32 ) ) ))]]) ).
thf(73,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 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[60:[bind(SV18,$thf( ^ [SV29: $i] : ( ( SV30 @ SV29 ) = ( SV31 @ SV29 ) ) ))]]) ).
thf(74,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)],[60]) ).
thf(75,plain,
! [SV117: $i > $i > $i,SV116: $i > $i > $i,SV115: $i > $i > $i] :
( ( ( injective @ sK3_SY17 @ sK3_SY17
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV115 @ sK3_SY17 @ SX0 ) @ ( SV116 @ sK3_SY17 @ SX0 ) @ ( SV117 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV115
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) )
@ ( SV116
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) )
@ ( SV117
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV115
@ ( sK8_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV115 @ SX1 @ SX2 ) @ ( SV116 @ SX1 @ SX2 ) @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV116
@ ( sK8_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV115 @ SX1 @ SX2 ) @ ( SV116 @ SX1 @ SX2 ) @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV117
@ ( sK8_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV115 @ SX1 @ SX2 ) @ ( SV116 @ SX1 @ SX2 ) @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(76,plain,
! [SV117: $i > $i > $i,SV116: $i > $i > $i,SV115: $i > $i > $i] :
( ( ( injective @ sK3_SY17 @ sK3_SY17
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV115 @ sK3_SY17 @ SX0 ) @ ( SV116 @ sK3_SY17 @ SX0 ) @ ( SV117 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV115
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) )
@ ( SV116
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) )
@ ( SV117
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK8_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV115
@ ( sK8_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV115 @ SX1 @ SX2 ) @ ( SV116 @ SX1 @ SX2 ) @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV116
@ ( sK8_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV115 @ SX1 @ SX2 ) @ ( SV116 @ SX1 @ SX2 ) @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV117
@ ( sK8_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV115 @ SX1 @ SX2 ) @ ( SV116 @ SX1 @ SX2 ) @ ( SV117 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV115 @ SX0 @ SX1 ) @ ( SV116 @ SX0 @ SX1 ) @ ( SV117 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(77,plain,
! [SV110: $i > $i > $o] :
( ( ( injective @ sK3_SY17 @ sK3_SY17 @ ( sK4_E @ ( SV110 @ sK3_SY17 ) ) )
= $true )
| ( ( ( sK4_E
@ ( SV110
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ ( sK4_E @ ( SV110 @ SX0 ) ) ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ ( sK4_E @ ( SV110 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ ( sK4_E @ ( SV110 @ SX0 ) ) ) )
= sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ ( sK4_E @ ( SV110 @ SX0 ) ) ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ ( sK4_E @ ( SV110 @ SX0 ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(78,plain,
( ( ( injective @ sK3_SY17 @ sK3_SY17 @ sK3_SY17 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ SX0 ) )
= sK2_SY14 )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ SX0 ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ SX0 ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(79,plain,
! [SV102: $i > $i > $i,SV101: $i > $i > $i,SV100: $i > $i > $i] :
( ( ( injective @ sK3_SY17 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV100 @ sK3_SY17 @ SX0 ) @ ( SV101 @ sK3_SY17 @ SX0 ) @ ( SV102 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV100
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) )
@ ( SV101
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) )
@ ( SV102
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) )
@ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV100
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV100 @ SX1 @ SX2 ) @ ( SV101 @ SX1 @ SX2 ) @ ( SV102 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV101
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV100 @ SX1 @ SX2 ) @ ( SV101 @ SX1 @ SX2 ) @ ( SV102 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV102
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV100 @ SX1 @ SX2 ) @ ( SV101 @ SX1 @ SX2 ) @ ( SV102 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(80,plain,
! [SV102: $i > $i > $i,SV101: $i > $i > $i,SV100: $i > $i > $i] :
( ( ( injective @ sK3_SY17 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV100 @ sK3_SY17 @ SX0 ) @ ( SV101 @ sK3_SY17 @ SX0 ) @ ( SV102 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV100
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) )
@ ( SV101
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) )
@ ( SV102
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective
@ ( sK7_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) )
@ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV100
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV100 @ SX1 @ SX2 ) @ ( SV101 @ SX1 @ SX2 ) @ ( SV102 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV101
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV100 @ SX1 @ SX2 ) @ ( SV101 @ SX1 @ SX2 ) @ ( SV102 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV102
@ ( sK7_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV100 @ SX1 @ SX2 ) @ ( SV101 @ SX1 @ SX2 ) @ ( SV102 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ SX0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV100 @ SX0 @ SX1 ) @ ( SV101 @ SX0 @ SX1 ) @ ( SV102 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(81,plain,
! [SV95: $i > $i > $o] :
( ( ( injective @ sK3_SY17 @ sK2_SY14 @ ( sK4_E @ ( SV95 @ sK3_SY17 ) ) )
= $true )
| ( ( ( sK4_E
@ ( SV95
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ ( sK4_E @ ( SV95 @ SX0 ) ) ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ ( sK4_E @ ( SV95 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ ( sK4_E @ ( SV95 @ SX0 ) ) ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ ( sK4_E @ ( SV95 @ SX0 ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(82,plain,
( ( ( injective @ sK3_SY17 @ sK2_SY14 @ sK3_SY17 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ SX0 ) )
= sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ SX0 ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(83,plain,
! [SV86: $i > $i > $i,SV85: $i > $i > $i,SV84: $i > $i > $i] :
( ( ( injective @ sK1_SY0 @ sK3_SY17
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV84 @ sK3_SY17 @ SX0 ) @ ( SV85 @ sK3_SY17 @ SX0 ) @ ( SV86 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV84
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( SV85
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( SV86
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV84
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV84 @ SX1 @ SX2 ) @ ( SV85 @ SX1 @ SX2 ) @ ( SV86 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV85
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV84 @ SX1 @ SX2 ) @ ( SV85 @ SX1 @ SX2 ) @ ( SV86 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV86
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV84 @ SX1 @ SX2 ) @ ( SV85 @ SX1 @ SX2 ) @ ( SV86 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(84,plain,
! [SV86: $i > $i > $i,SV85: $i > $i > $i,SV84: $i > $i > $i] :
( ( ( injective @ sK1_SY0 @ sK3_SY17
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV84 @ sK3_SY17 @ SX0 ) @ ( SV85 @ sK3_SY17 @ SX0 ) @ ( SV86 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV84
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( SV85
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) )
@ ( SV86
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0
@ ( sK6_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) )
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV84
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV84 @ SX1 @ SX2 ) @ ( SV85 @ SX1 @ SX2 ) @ ( SV86 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV85
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV84 @ SX1 @ SX2 ) @ ( SV85 @ SX1 @ SX2 ) @ ( SV86 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV86
@ ( sK6_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV84 @ SX1 @ SX2 ) @ ( SV85 @ SX1 @ SX2 ) @ ( SV86 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ SX0
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV84 @ SX0 @ SX1 ) @ ( SV85 @ SX0 @ SX1 ) @ ( SV86 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(85,plain,
! [SV79: $i > $i > $o] :
( ( ( injective @ sK1_SY0 @ sK3_SY17 @ ( sK4_E @ ( SV79 @ sK3_SY17 ) ) )
= $true )
| ( ( ( sK4_E
@ ( SV79
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ ( sK4_E @ ( SV79 @ SX0 ) ) ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ ( sK4_E @ ( SV79 @ SX0 ) ) ) ) )
= $false )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ ( sK4_E @ ( SV79 @ SX0 ) ) ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ ( sK4_E @ ( SV79 @ SX0 ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(86,plain,
( ( ( injective @ sK1_SY0 @ sK3_SY17 @ sK3_SY17 )
= $true )
| ( ( ( sK4_E
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ SX0 ) )
= sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ SX0 ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(87,plain,
! [SV72: $i > $i > $i,SV71: $i > $i > $i,SV70: $i > $i > $i] :
( ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV70 @ sK3_SY17 @ SX0 ) @ ( SV71 @ sK3_SY17 @ SX0 ) @ ( SV72 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) )
@ ( SV71
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) )
@ ( SV72
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV70
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV70 @ SX1 @ SX2 ) @ ( SV71 @ SX1 @ SX2 ) @ ( SV72 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV71
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV70 @ SX1 @ SX2 ) @ ( SV71 @ SX1 @ SX2 ) @ ( SV72 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV72
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV70 @ SX1 @ SX2 ) @ ( SV71 @ SX1 @ SX2 ) @ ( SV72 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(88,plain,
! [SV72: $i > $i > $i,SV71: $i > $i > $i,SV70: $i > $i > $i] :
( ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV70 @ sK3_SY17 @ SX0 ) @ ( SV71 @ sK3_SY17 @ SX0 ) @ ( SV72 @ sK3_SY17 @ SX0 ) ) ) )
= $true )
| ( ( injective
@ ( SV70
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) )
@ ( SV71
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) )
@ ( SV72
@ ( sK4_E
@ ^ [SX0: $i] :
( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
@ ( sK5_E
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] :
( injective
@ ( SV70
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV70 @ SX1 @ SX2 ) @ ( SV71 @ SX1 @ SX2 ) @ ( SV72 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV71
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV70 @ SX1 @ SX2 ) @ ( SV71 @ SX1 @ SX2 ) @ ( SV72 @ SX1 @ SX2 ) ) )
@ SX0 )
@ ( SV72
@ ( sK5_E
@ ^ [SX1: $i,SX2: $i] : ( injective @ ( SV70 @ SX1 @ SX2 ) @ ( SV71 @ SX1 @ SX2 ) @ ( SV72 @ SX1 @ SX2 ) ) )
@ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ ^ [SX1: $i] : ( injective @ ( SV70 @ SX0 @ SX1 ) @ ( SV71 @ SX0 @ SX1 ) @ ( SV72 @ SX0 @ SX1 ) ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(89,plain,
! [SV65: $i > $i > $o] :
( ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ ( SV65 @ sK3_SY17 ) ) )
= $true )
| ( ( ( sK4_E
@ ( SV65
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ ( SV65 @ SX0 ) ) ) ) ) )
= ( sK4_E
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ ( SV65 @ SX0 ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ ( SV65 @ SX0 ) ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(90,plain,
( ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
= $true ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(91,plain,
! [SV58: $i > $i,SV57: $i > $i,SV56: $i > $i] :
( ( ( injective @ ( SV56 @ sK3_SY17 ) @ ( SV57 @ sK3_SY17 ) @ ( SV58 @ sK3_SY17 ) )
= $true )
| ( ( injective
@ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) )
@ ( SV57
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) )
@ ( SV58
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(92,plain,
! [SV58: $i > $i,SV57: $i > $i,SV56: $i > $i] :
( ( ( injective @ ( SV56 @ sK3_SY17 ) @ ( SV57 @ sK3_SY17 ) @ ( SV58 @ sK3_SY17 ) )
= $true )
| ( ( injective
@ ( SV56
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) )
@ ( SV57
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) )
@ ( SV58
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK4_E
@ ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ ( SV56 @ SX0 ) @ ( SV57 @ SX0 ) @ ( SV58 @ SX0 ) ) )),bind(SV19,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(93,plain,
! [SV19: $i,SV18: $i > $o] :
( ( ( SV18 @ sK3_SY17 )
= $true )
| ( ( ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( SV18 @ SX0 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[64:[bind(SV20,$thf( sK3_SY17 ))]]) ).
thf(94,plain,
! [SV19: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK1_SY0 = sK3_SY17 )
= $false )
| ( ( sK1_SY0 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[63:[bind(SV20,$thf( sK1_SY0 )),bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ SX0 ) ))]]) ).
thf(95,plain,
! [SV19: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ sK3_SY17 ) ) )
= $false )
| ( ( sK1_SY0 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[63:[bind(SV20,$thf( sK1_SY0 )),bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ sK3_SY17 ) ))]]) ).
thf(96,plain,
! [SV19: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ SX0 ) ) )
= $false )
| ( ( sK1_SY0 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[63:[bind(SV20,$thf( sK1_SY0 )),bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ SX0 ) ))]]) ).
thf(97,plain,
! [SV19: $i] :
( ( in @ sK1_SY0
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ sK3_SY17 ) ) )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV20,$thf( sK1_SY0 )),bind(SV18,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ sK3_SY17 ) ))]]) ).
thf(98,plain,
! [SV19: $i] :
( ( ( in @ sK2_SY14
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[63:[bind(SV20,$thf( sK2_SY14 )),bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ SX0 ) ))]]) ).
thf(99,plain,
! [SV19: $i] :
( ( in @ sK2_SY14
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ sK3_SY17 ) ) )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV20,$thf( sK2_SY14 )),bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ sK3_SY17 ) ))]]) ).
thf(100,plain,
! [SV19: $i] :
( ( in @ sK3_SY17
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV20,$thf( sK3_SY17 )),bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ))]]) ).
thf(101,plain,
! [SV19: $i,SV20: $i] :
( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) ) )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) ))]]) ).
thf(102,plain,
! [SV127: $i > $i,SV126: $i > $i,SV125: $i > $i,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ ( SV125 @ SX0 ) @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) )
= $false )
| ( ( injective @ ( SV125 @ SV20 ) @ ( SV126 @ SV20 ) @ ( SV127 @ SV20 ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[63:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ ( SV125 @ SX0 ) @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ))]]) ).
thf(103,plain,
! [SV127: $i > $i,SV126: $i > $i,SV125: $i > $i,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] : ( injective @ ( SV125 @ SX0 ) @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ) )
= $false )
| ( ( injective @ ( SV125 @ SV20 ) @ ( SV126 @ SV20 ) @ ( SV127 @ SV20 ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[63:[bind(SV18,$thf( ^ [SX0: $i] : ( injective @ ( SV125 @ SX0 ) @ ( SV126 @ SX0 ) @ ( SV127 @ SX0 ) ) ))]]) ).
thf(107,plain,
! [SV19: $i,SV152: $i > $i,SV20: $i,SV151: $i > $i] :
( ( ( in @ ( SV151 @ SV20 ) @ ( SV152 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV151 @ SX0 ) @ ( SV152 @ SX0 ) ) ) )
= $false )
| ( ( ~ ( in @ ( SV151 @ SV20 ) @ ( SV152 @ SV20 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[74:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( in @ ( SV151 @ SX0 ) @ ( SV152 @ SX0 ) ) ))]]) ).
thf(108,plain,
! [SV19: $i,SV20: $i,SV148: $i > $o] :
( ( ( ~ ( SV148 @ SV20 ) )
= $true )
| ( ( ~ ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV148 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV148 @ SV20 ) )
= $true ) ),
inference(extuni,[status(esa)],[74:[bind(SV18,$thf( ^ [SX0: $i] : ~ ( SV148 @ SX0 ) ))]]) ).
thf(110,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)],[68]) ).
thf(111,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)],[72]) ).
thf(113,plain,
! [SV19: $i,SV20: $i,SV148: $i > $o] :
( ( ( SV148 @ SV20 )
= $false )
| ( ( ~ ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV148 @ SX0 ) ) ) )
= $true )
| ( ( ~ ( SV148 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(114,plain,
! [SV19: $i,SV152: $i > $i,SV20: $i,SV151: $i > $i] :
( ( ( in @ ( SV151 @ SV20 ) @ ( SV152 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV151 @ SX0 ) @ ( SV152 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV151 @ SV20 ) @ ( SV152 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV148: $i > $o,SV19: $i,SV20: $i] :
( ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV148 @ SX0 ) ) )
= $false )
| ( ( SV148 @ SV20 )
= $false )
| ( ( ~ ( SV148 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(119,plain,
! [SV19: $i,SV20: $i,SV148: $i > $o] :
( ( ( SV148 @ SV20 )
= $false )
| ( ( SV148 @ SV20 )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV148 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(120,plain,
! [SV19: $i,SV20: $i,SV148: $i > $o] :
( ( ( SV148 @ SV20 )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( SV148 @ SX0 ) ) )
= $false ) ),
inference(sim,[status(thm)],[119]) ).
thf(121,plain,
! [SV19: $i,SV152: $i > $i,SV20: $i,SV151: $i > $i] :
( ( ( in @ ( SV151 @ SV20 ) @ ( SV152 @ SV20 ) )
= $false )
| ( ( in @ SV20
@ ( dsetconstr @ SV19
@ ^ [SX0: $i] :
~ ( in @ ( SV151 @ SX0 ) @ ( SV152 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[114]) ).
thf(122,plain,
! [SV153: $i,SV154: $i] :
( ( ( in @ SV154
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( SV154 = sK1_SY0 )
= $true ) ),
inference(rename,[status(thm)],[26]) ).
thf(128,plain,
! [SV153: $i,SV154: $i] :
( ( ( ( in @ SV154
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( SV154 = sK1_SY0 )
= $true ) ),
inference(res,[status(thm)],[122,18]) ).
thf(129,plain,
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( sK11_E = sK1_SY0 )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK11_E )
= $true ) ),
inference(extuni,[status(esa)],[128:[bind(SV153,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV154,$thf( sK3_SY17 ))]]) ).
thf(130,plain,
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( sK11_E = sK1_SY0 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK11_E )
= $false ) ),
inference(extuni,[status(esa)],[128:[bind(SV153,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV154,$thf( sK3_SY17 ))]]) ).
thf(131,plain,
! [SV153: $i] :
( ( ( sK3_SY17 = sK1_SY0 )
= $true )
| ( ( ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[128:[bind(SV154,$thf( sK3_SY17 ))]]) ).
thf(132,plain,
! [SV155: $i,SV156: $i] :
( ( ( in @ SV156
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( SV156 = sK3_SY17 )
= $true ) ),
inference(rename,[status(thm)],[27]) ).
thf(144,plain,
! [SV157: $i,SV158: $i] :
( ( ( in @ SV158
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( SV158 = sK2_SY14 )
= $true ) ),
inference(rename,[status(thm)],[28]) ).
thf(154,plain,
! [SV157: $i,SV158: $i] :
( ( ( ( in @ SV158
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( SV158 = sK2_SY14 )
= $true ) ),
inference(res,[status(thm)],[144,18]) ).
thf(155,plain,
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( sK23_E = sK2_SY14 )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK23_E )
= $true ) ),
inference(extuni,[status(esa)],[154:[bind(SV157,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV158,$thf( sK3_SY17 ))]]) ).
thf(156,plain,
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( sK23_E = sK2_SY14 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK23_E )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV157,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV158,$thf( sK3_SY17 ))]]) ).
thf(157,plain,
! [SV157: $i] :
( ( ( sK3_SY17 = sK2_SY14 )
= $true )
| ( ( ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV158,$thf( sK3_SY17 ))]]) ).
thf(158,plain,
! [SV159: $i,SV160: $i,SV161: $i > $o] :
( ( ( SV161 @ SV160 )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) ) )
= $false ) ),
inference(rename,[status(thm)],[54]) ).
thf(160,plain,
! [SV159: $i,SV160: $i,SV161: $i > $o,SV157: $i,SV158: $i] :
( ( ( ( SV161 @ SV160 )
= ( SV158 = sK2_SY14 ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) ) )
= $false )
| ( ( in @ SV158
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false ) ),
inference(res,[status(thm)],[158,144]) ).
thf(162,plain,
! [SV159: $i,SV160: $i,SV161: $i > $o,SV155: $i,SV156: $i] :
( ( ( ( SV161 @ SV160 )
= ( SV156 = sK3_SY17 ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) ) )
= $false )
| ( ( in @ SV156
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false ) ),
inference(res,[status(thm)],[158,132]) ).
thf(164,plain,
! [SV159: $i,SV160: $i,SV161: $i > $o,SV153: $i,SV154: $i] :
( ( ( ( SV161 @ SV160 )
= ( SV154 = sK1_SY0 ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) ) )
= $false )
| ( ( in @ SV154
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false ) ),
inference(res,[status(thm)],[158,122]) ).
thf(167,plain,
! [SV159: $i,SV160: $i,SV161: $i > $o] :
( ( ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( SV161 @ SV160 )
= $false ) ),
inference(res,[status(thm)],[158,18]) ).
thf(168,plain,
! [SV159: $i,SV160: $i,SV161: $i > $o] :
( ( ( ( SV161 @ SV160 )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) ) )
= $false ) ),
inference(res,[status(thm)],[158,18]) ).
thf(169,plain,
! [SV159: $i,SV160: $i] :
( ( $true = $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ~ $true ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV165: $i] : $true ))]]) ).
thf(170,plain,
! [SV159: $i,SV160: $i] :
( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ~ $true ) )
= $false ),
inference(sim,[status(thm)],[169]) ).
thf(172,plain,
! [SV159: $i,SV160: $i,SV163: $i > $o] :
( ( ( ~ ( SV163 @ SV160 ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ~ ( SV163 @ SX0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV162: $i] : ~ ( SV163 @ SV162 ) ))]]) ).
thf(173,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK12_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK12_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV166: $i] : ( SV166 = sK12_E ) ))]]) ).
thf(174,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK19_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK19_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV167: $i] : ( SV167 = sK19_E ) ))]]) ).
thf(175,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK25_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK25_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV168: $i] : ( SV168 = sK25_E ) ))]]) ).
thf(176,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK23_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV169: $i] : ( SV169 = sK23_E ) ))]]) ).
thf(177,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK2_SY14 )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK2_SY14 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV170: $i] : ( SV170 = sK2_SY14 ) ))]]) ).
thf(178,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK22_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV171: $i] : ( SV171 = sK22_E ) ))]]) ).
thf(179,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK26_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK26_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV172: $i] : ( SV172 = sK26_E ) ))]]) ).
thf(180,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK18_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV173: $i] : ( SV173 = sK18_E ) ))]]) ).
thf(181,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK9_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV174: $i] : ( SV174 = sK9_E ) ))]]) ).
thf(182,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK10_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV175: $i] : ( SV175 = sK10_E ) ))]]) ).
thf(183,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK20_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV176: $i] : ( SV176 = sK20_E ) ))]]) ).
thf(184,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK24_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK24_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV177: $i] : ( SV177 = sK24_E ) ))]]) ).
thf(185,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK1_SY0 )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK1_SY0 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV178: $i] : ( SV178 = sK1_SY0 ) ))]]) ).
thf(186,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK21_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV179: $i] : ( SV179 = sK21_E ) ))]]) ).
thf(187,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK3_SY17 )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK3_SY17 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV180: $i] : ( SV180 = sK3_SY17 ) ))]]) ).
thf(188,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK27_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK27_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV181: $i] : ( SV181 = sK27_E ) ))]]) ).
thf(189,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK13_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV182: $i] : ( SV182 = sK13_E ) ))]]) ).
thf(190,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK16_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV183: $i] : ( SV183 = sK16_E ) ))]]) ).
thf(191,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK11_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV184: $i] : ( SV184 = sK11_E ) ))]]) ).
thf(192,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK14_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV185: $i] : ( SV185 = sK14_E ) ))]]) ).
thf(193,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK15_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV186: $i] : ( SV186 = sK15_E ) ))]]) ).
thf(194,plain,
! [SV159: $i,SV160: $i] :
( ( ( SV160 = sK17_E )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV187: $i] : ( SV187 = sK17_E ) ))]]) ).
thf(195,plain,
! [SV159: $i,SV194: $i > $o,SV160: $i,SV193: $i > $o] :
( ( ( ( SV193 @ SV160 )
| ( SV194 @ SV160 ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( ( SV193 @ SX0 )
| ( SV194 @ SX0 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[158:[bind(SV161,$thf( ^ [SV192: $i] : ( ( SV193 @ SV192 ) | ( SV194 @ SV192 ) ) ))]]) ).
thf(197,plain,
! [SV159: $i,SV160: $i,SV161: $i > $o] :
( ( ( SV161 @ SV160 )
= $false )
| ( ( ( SV161 @ SV160 )
= ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[158]) ).
thf(198,plain,
! [SV287: $i > $i > $i,SV286: $i > $i > $i,SV285: $i > $i > $i,SV263: $i > $i,SV262: $i > $i,SV159: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ ( funcSet @ ( SV262 @ SX0 ) @ ( SV263 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV285 @ sK3_SY17
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) )
@ ( SV286 @ sK3_SY17
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) )
@ ( SV287 @ sK3_SY17
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( funcSet @ ( SV262 @ sK3_SY17 ) @ ( SV263 @ sK3_SY17 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( funcSet @ ( SV262 @ SX0 ) @ ( SV263 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(199,plain,
! [SV287: $i > $i > $i,SV286: $i > $i > $i,SV285: $i > $i > $i,SV263: $i > $i,SV262: $i > $i,SV159: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ ( funcSet @ ( SV262 @ SX0 ) @ ( SV263 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV285 @ sK3_SY17
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) )
@ ( SV286 @ sK3_SY17
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) )
@ ( SV287 @ sK3_SY17
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK31_E @ SV263 @ SV262 @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( funcSet @ ( SV262 @ sK3_SY17 ) @ ( SV263 @ sK3_SY17 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( funcSet @ ( SV262 @ SX0 ) @ ( SV263 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV285 @ SX0 @ SX1 ) @ ( SV286 @ SX0 @ SX1 ) @ ( SV287 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(200,plain,
! [SV270: $i > $i > $i,SV269: $i > $i > $i,SV268: $i > $i > $i,SV159: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV268 @ sK3_SY17
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
@ ( SV269 @ sK3_SY17
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
@ ( SV270 @ sK3_SY17
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK3_SY17
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(201,plain,
! [SV270: $i > $i > $i,SV269: $i > $i > $i,SV268: $i > $i > $i,SV159: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV268 @ sK3_SY17
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
@ ( SV269 @ sK3_SY17
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
@ ( SV270 @ sK3_SY17
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK30_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK3_SY17
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV268 @ SX0 @ SX1 ) @ ( SV269 @ SX0 @ SX1 ) @ ( SV270 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(202,plain,
! [SV259: $i > $i > $o,SV258: $i > $i,SV159: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV258 @ SX0 ) @ ( SV259 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV258 @ sK3_SY17 ) @ ( SV259 @ sK3_SY17 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV258 @ SX0 ) @ ( SV259 @ SX0 ) ) ) ))]]) ).
thf(203,plain,
! [SV159: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $false )
| ( ( sK3_SY17
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(204,plain,
! [SV251: $i > $i > $i,SV250: $i > $i > $i,SV249: $i > $i > $i,SV227: $i > $i,SV226: $i > $i,SV159: $i,SV160: $i] :
( ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ ( SV226 @ SX0 ) @ ( SV227 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV249 @ SV160
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) )
@ ( SV250 @ SV160
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) )
@ ( SV251 @ SV160
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( funcSet @ ( SV226 @ SV160 ) @ ( SV227 @ SV160 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV161,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( funcSet @ ( SV226 @ SX0 ) @ ( SV227 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(205,plain,
! [SV251: $i > $i > $i,SV250: $i > $i > $i,SV249: $i > $i > $i,SV227: $i > $i,SV226: $i > $i,SV159: $i,SV160: $i] :
( ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ ( SV226 @ SX0 ) @ ( SV227 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV249 @ SV160
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) )
@ ( SV250 @ SV160
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) )
@ ( SV251 @ SV160
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK29_E @ SV227 @ SV226 @ SV159 @ SV160
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( funcSet @ ( SV226 @ SV160 ) @ ( SV227 @ SV160 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV161,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( funcSet @ ( SV226 @ SX0 ) @ ( SV227 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) @ ( SV251 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(206,plain,
! [SV234: $i > $i > $i,SV233: $i > $i > $i,SV232: $i > $i > $i,SV159: $i] :
( ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV232 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) )
@ ( SV233 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) )
@ ( SV234 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(207,plain,
! [SV234: $i > $i > $i,SV233: $i > $i > $i,SV232: $i > $i > $i,SV159: $i] :
( ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) ) ) )
= $false )
| ( ( injective
@ ( SV232 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) )
@ ( SV233 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) )
@ ( SV234 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK28_E @ SV159
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV232 @ SX0 @ SX1 ) @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(208,plain,
! [SV223: $i > $i > $o,SV222: $i > $i,SV159: $i,SV160: $i] :
( ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ ( dsetconstr @ ( SV222 @ SX0 ) @ ( SV223 @ SX0 ) ) ) ) )
= $false )
| ( ( ( dsetconstr @ ( SV222 @ SV160 ) @ ( SV223 @ SV160 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV161,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( SV222 @ SX0 ) @ ( SV223 @ SX0 ) ) ) ))]]) ).
thf(209,plain,
! [SV159: $i] :
( ( in
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[168:[bind(SV160,$thf( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) @ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )),bind(SV161,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(210,plain,
! [SV217: $i > $i,SV216: $i > $i,SV159: $i,SV160: $i] :
( ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV216 @ SV160 ) @ ( SV217 @ SV160 ) )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[168:[bind(SV161,$thf( ^ [SX0: $i] : ( in @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) ) ))]]) ).
thf(211,plain,
! [SV217: $i > $i,SV216: $i > $i,SV159: $i,SV160: $i] :
( ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV216 @ SV160 ) @ ( SV217 @ SV160 ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[168:[bind(SV161,$thf( ^ [SX0: $i] : ( in @ ( SV216 @ SX0 ) @ ( SV217 @ SX0 ) ) ))]]) ).
thf(212,plain,
! [SV161: $i > $o] :
( ( ( SV161 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV161 @ ( sK32_E @ SV161 ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK32_E @ SV161 ) )
= $true ) ),
inference(extuni,[status(esa)],[167:[bind(SV159,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV160,$thf( sK3_SY17 ))]]) ).
thf(213,plain,
! [SV161: $i > $o] :
( ( ( SV161 @ sK3_SY17 )
= $false )
| ( ( ~ ( SV161 @ ( sK32_E @ SV161 ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK32_E @ SV161 ) )
= $false ) ),
inference(extuni,[status(esa)],[167:[bind(SV159,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV160,$thf( sK3_SY17 ))]]) ).
thf(214,plain,
! [SV159: $i,SV161: $i > $o] :
( ( ( SV161 @ sK3_SY17 )
= $false )
| ( ( ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( SV161 @ SX0 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[167:[bind(SV160,$thf( sK3_SY17 ))]]) ).
thf(215,plain,
! [SV159: $i,SV153: $i,SV295: $i > $i] :
( ( ( in @ ( SV295 @ sK1_SY0 )
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( SX0
!= ( SV295 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[164:[bind(SV160,$thf( sK1_SY0 )),bind(SV154,$thf( SV295 @ sK1_SY0 )),bind(SV161,$thf( ^ [SX0: $i] : ( SX0 = ( SV295 @ SX0 ) ) ))]]) ).
thf(216,plain,
! [SV159: $i,SV153: $i,SV160: $i,SV295: $i > $i] :
( ( ( in @ ( SV295 @ SV160 )
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( sK1_SY0
!= ( SV295 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[164:[bind(SV154,$thf( SV295 @ SV160 )),bind(SV161,$thf( ^ [SX0: $i] : ( sK1_SY0 = ( SV295 @ SX0 ) ) ))]]) ).
thf(217,plain,
! [SV159: $i,SV153: $i,SV294: $i > $i] :
( ( ( in @ ( SV294 @ sK1_SY0 )
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV294 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[164:[bind(SV160,$thf( sK1_SY0 )),bind(SV154,$thf( SV294 @ sK1_SY0 )),bind(SV161,$thf( ^ [SX0: $i] : ( ( SV294 @ SX0 ) = SX0 ) ))]]) ).
thf(218,plain,
! [SV159: $i,SV153: $i,SV160: $i,SV294: $i > $i] :
( ( ( in @ ( SV294 @ SV160 )
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV294 @ SX0 )
!= sK1_SY0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[164:[bind(SV154,$thf( SV294 @ SV160 )),bind(SV161,$thf( ^ [SX0: $i] : ( ( SV294 @ SX0 ) = sK1_SY0 ) ))]]) ).
thf(219,plain,
! [SV295: $i > $i,SV294: $i > $i,SV159: $i,SV160: $i,SV153: $i,SV154: $i] :
( ( ( in @ SV154
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV294 @ SX0 )
!= ( SV295 @ SX0 ) ) ) )
= $false )
| ( ( ( SV294 @ SV160 )
= ( SV295 @ SV160 ) )
= $true )
| ( ( SV154 = sK1_SY0 )
= $true ) ),
inference(extuni,[status(esa)],[164:[bind(SV161,$thf( ^ [SX0: $i] : ( ( SV294 @ SX0 ) = ( SV295 @ SX0 ) ) ))]]) ).
thf(220,plain,
! [SV295: $i > $i,SV294: $i > $i,SV159: $i,SV160: $i,SV153: $i,SV154: $i] :
( ( ( in @ SV154
@ ( dsetconstr @ SV153
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV294 @ SX0 )
!= ( SV295 @ SX0 ) ) ) )
= $false )
| ( ( ( SV294 @ SV160 )
= ( SV295 @ SV160 ) )
= $false )
| ( ( SV154 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[164:[bind(SV161,$thf( ^ [SX0: $i] : ( ( SV294 @ SX0 ) = ( SV295 @ SX0 ) ) ))]]) ).
thf(221,plain,
! [SV159: $i,SV155: $i,SV303: $i > $i] :
( ( ( in @ ( SV303 @ sK3_SY17 )
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( SX0
!= ( SV303 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[162:[bind(SV160,$thf( sK3_SY17 )),bind(SV156,$thf( SV303 @ sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( SX0 = ( SV303 @ SX0 ) ) ))]]) ).
thf(222,plain,
! [SV159: $i,SV155: $i,SV160: $i,SV303: $i > $i] :
( ( ( in @ ( SV303 @ SV160 )
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( sK3_SY17
!= ( SV303 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[162:[bind(SV156,$thf( SV303 @ SV160 )),bind(SV161,$thf( ^ [SX0: $i] : ( sK3_SY17 = ( SV303 @ SX0 ) ) ))]]) ).
thf(223,plain,
! [SV159: $i,SV155: $i,SV302: $i > $i] :
( ( ( in @ ( SV302 @ sK3_SY17 )
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV302 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[162:[bind(SV160,$thf( sK3_SY17 )),bind(SV156,$thf( SV302 @ sK3_SY17 )),bind(SV161,$thf( ^ [SX0: $i] : ( ( SV302 @ SX0 ) = SX0 ) ))]]) ).
thf(224,plain,
! [SV159: $i,SV155: $i,SV160: $i,SV302: $i > $i] :
( ( ( in @ ( SV302 @ SV160 )
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV302 @ SX0 )
!= sK3_SY17 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[162:[bind(SV156,$thf( SV302 @ SV160 )),bind(SV161,$thf( ^ [SX0: $i] : ( ( SV302 @ SX0 ) = sK3_SY17 ) ))]]) ).
thf(225,plain,
! [SV303: $i > $i,SV302: $i > $i,SV159: $i,SV160: $i,SV155: $i,SV156: $i] :
( ( ( in @ SV156
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV302 @ SX0 )
!= ( SV303 @ SX0 ) ) ) )
= $false )
| ( ( ( SV302 @ SV160 )
= ( SV303 @ SV160 ) )
= $true )
| ( ( SV156 = sK3_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[162:[bind(SV161,$thf( ^ [SX0: $i] : ( ( SV302 @ SX0 ) = ( SV303 @ SX0 ) ) ))]]) ).
thf(226,plain,
! [SV303: $i > $i,SV302: $i > $i,SV159: $i,SV160: $i,SV155: $i,SV156: $i] :
( ( ( in @ SV156
@ ( dsetconstr @ SV155
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV302 @ SX0 )
!= ( SV303 @ SX0 ) ) ) )
= $false )
| ( ( ( SV302 @ SV160 )
= ( SV303 @ SV160 ) )
= $false )
| ( ( SV156 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[162:[bind(SV161,$thf( ^ [SX0: $i] : ( ( SV302 @ SX0 ) = ( SV303 @ SX0 ) ) ))]]) ).
thf(227,plain,
! [SV159: $i,SV157: $i,SV311: $i > $i] :
( ( ( in @ ( SV311 @ sK2_SY14 )
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( SX0
!= ( SV311 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV160,$thf( sK2_SY14 )),bind(SV158,$thf( SV311 @ sK2_SY14 )),bind(SV161,$thf( ^ [SX0: $i] : ( SX0 = ( SV311 @ SX0 ) ) ))]]) ).
thf(228,plain,
! [SV159: $i,SV157: $i,SV160: $i,SV311: $i > $i] :
( ( ( in @ ( SV311 @ SV160 )
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( sK2_SY14
!= ( SV311 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV158,$thf( SV311 @ SV160 )),bind(SV161,$thf( ^ [SX0: $i] : ( sK2_SY14 = ( SV311 @ SX0 ) ) ))]]) ).
thf(229,plain,
! [SV159: $i,SV157: $i,SV310: $i > $i] :
( ( ( in @ ( SV310 @ sK2_SY14 )
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV310 @ SX0 )
!= SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV160,$thf( sK2_SY14 )),bind(SV158,$thf( SV310 @ sK2_SY14 )),bind(SV161,$thf( ^ [SX0: $i] : ( ( SV310 @ SX0 ) = SX0 ) ))]]) ).
thf(230,plain,
! [SV159: $i,SV157: $i,SV160: $i,SV310: $i > $i] :
( ( ( in @ ( SV310 @ SV160 )
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV310 @ SX0 )
!= sK2_SY14 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV158,$thf( SV310 @ SV160 )),bind(SV161,$thf( ^ [SX0: $i] : ( ( SV310 @ SX0 ) = sK2_SY14 ) ))]]) ).
thf(231,plain,
! [SV311: $i > $i,SV310: $i > $i,SV159: $i,SV160: $i,SV157: $i,SV158: $i] :
( ( ( in @ SV158
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV310 @ SX0 )
!= ( SV311 @ SX0 ) ) ) )
= $false )
| ( ( ( SV310 @ SV160 )
= ( SV311 @ SV160 ) )
= $true )
| ( ( SV158 = sK2_SY14 )
= $true ) ),
inference(extuni,[status(esa)],[160:[bind(SV161,$thf( ^ [SX0: $i] : ( ( SV310 @ SX0 ) = ( SV311 @ SX0 ) ) ))]]) ).
thf(232,plain,
! [SV311: $i > $i,SV310: $i > $i,SV159: $i,SV160: $i,SV157: $i,SV158: $i] :
( ( ( in @ SV158
@ ( dsetconstr @ SV157
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
( ( SV310 @ SX0 )
!= ( SV311 @ SX0 ) ) ) )
= $false )
| ( ( ( SV310 @ SV160 )
= ( SV311 @ SV160 ) )
= $false )
| ( ( SV158 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV161,$thf( ^ [SX0: $i] : ( ( SV310 @ SX0 ) = ( SV311 @ SX0 ) ) ))]]) ).
thf(233,plain,
! [SV159: $i] :
( ( in @ sK12_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK12_E ) ) )
= $false ),
inference(extuni,[status(esa)],[173:[bind(SV160,$thf( sK12_E ))]]) ).
thf(234,plain,
! [SV159: $i] :
( ( in @ sK19_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK19_E ) ) )
= $false ),
inference(extuni,[status(esa)],[174:[bind(SV160,$thf( sK19_E ))]]) ).
thf(235,plain,
! [SV159: $i] :
( ( in @ sK25_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK25_E ) ) )
= $false ),
inference(extuni,[status(esa)],[175:[bind(SV160,$thf( sK25_E ))]]) ).
thf(236,plain,
! [SV159: $i] :
( ( in @ sK23_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK23_E ) ) )
= $false ),
inference(extuni,[status(esa)],[176:[bind(SV160,$thf( sK23_E ))]]) ).
thf(237,plain,
! [SV159: $i] :
( ( in @ sK2_SY14
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK2_SY14 ) ) )
= $false ),
inference(extuni,[status(esa)],[177:[bind(SV160,$thf( sK2_SY14 ))]]) ).
thf(238,plain,
! [SV159: $i] :
( ( in @ sK22_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK22_E ) ) )
= $false ),
inference(extuni,[status(esa)],[178:[bind(SV160,$thf( sK22_E ))]]) ).
thf(239,plain,
! [SV159: $i] :
( ( in @ sK26_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK26_E ) ) )
= $false ),
inference(extuni,[status(esa)],[179:[bind(SV160,$thf( sK26_E ))]]) ).
thf(240,plain,
! [SV159: $i] :
( ( in @ sK18_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK18_E ) ) )
= $false ),
inference(extuni,[status(esa)],[180:[bind(SV160,$thf( sK18_E ))]]) ).
thf(241,plain,
! [SV159: $i] :
( ( in @ sK9_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK9_E ) ) )
= $false ),
inference(extuni,[status(esa)],[181:[bind(SV160,$thf( sK9_E ))]]) ).
thf(242,plain,
! [SV159: $i] :
( ( in @ sK10_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK10_E ) ) )
= $false ),
inference(extuni,[status(esa)],[182:[bind(SV160,$thf( sK10_E ))]]) ).
thf(243,plain,
! [SV159: $i] :
( ( in @ sK20_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK20_E ) ) )
= $false ),
inference(extuni,[status(esa)],[183:[bind(SV160,$thf( sK20_E ))]]) ).
thf(244,plain,
! [SV159: $i] :
( ( in @ sK24_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK24_E ) ) )
= $false ),
inference(extuni,[status(esa)],[184:[bind(SV160,$thf( sK24_E ))]]) ).
thf(245,plain,
! [SV159: $i] :
( ( in @ sK1_SY0
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK1_SY0 ) ) )
= $false ),
inference(extuni,[status(esa)],[185:[bind(SV160,$thf( sK1_SY0 ))]]) ).
thf(246,plain,
! [SV159: $i] :
( ( in @ sK21_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK21_E ) ) )
= $false ),
inference(extuni,[status(esa)],[186:[bind(SV160,$thf( sK21_E ))]]) ).
thf(247,plain,
! [SV159: $i] :
( ( in @ sK3_SY17
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK3_SY17 ) ) )
= $false ),
inference(extuni,[status(esa)],[187:[bind(SV160,$thf( sK3_SY17 ))]]) ).
thf(248,plain,
! [SV159: $i] :
( ( in @ sK27_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK27_E ) ) )
= $false ),
inference(extuni,[status(esa)],[188:[bind(SV160,$thf( sK27_E ))]]) ).
thf(249,plain,
! [SV159: $i] :
( ( in @ sK13_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK13_E ) ) )
= $false ),
inference(extuni,[status(esa)],[189:[bind(SV160,$thf( sK13_E ))]]) ).
thf(250,plain,
! [SV159: $i] :
( ( in @ sK16_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK16_E ) ) )
= $false ),
inference(extuni,[status(esa)],[190:[bind(SV160,$thf( sK16_E ))]]) ).
thf(251,plain,
! [SV159: $i] :
( ( in @ sK11_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK11_E ) ) )
= $false ),
inference(extuni,[status(esa)],[191:[bind(SV160,$thf( sK11_E ))]]) ).
thf(252,plain,
! [SV159: $i] :
( ( in @ sK14_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK14_E ) ) )
= $false ),
inference(extuni,[status(esa)],[192:[bind(SV160,$thf( sK14_E ))]]) ).
thf(253,plain,
! [SV159: $i] :
( ( in @ sK15_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK15_E ) ) )
= $false ),
inference(extuni,[status(esa)],[193:[bind(SV160,$thf( sK15_E ))]]) ).
thf(254,plain,
! [SV159: $i] :
( ( in @ sK17_E
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] : ( SX0 != sK17_E ) ) )
= $false ),
inference(extuni,[status(esa)],[194:[bind(SV160,$thf( sK17_E ))]]) ).
thf(256,plain,
! [SV159: $i,SV319: $i > $i,SV160: $i,SV318: $i > $i] :
( ( ( in @ ( SV318 @ SV160 ) @ ( SV319 @ SV160 ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ ( SV318 @ SX0 ) @ ( SV319 @ SX0 ) ) ) )
= $false )
| ( ( in @ ( SV318 @ SV160 ) @ ( SV319 @ SV160 ) )
= $false ) ),
inference(extuni,[status(esa)],[197:[bind(SV161,$thf( ^ [SX0: $i] : ( in @ ( SV318 @ SX0 ) @ ( SV319 @ SX0 ) ) ))]]) ).
thf(257,plain,
! [SV161: $i > $o] :
( ( ( SV161 @ ( sK32_E @ SV161 ) )
= $true )
| ( ( SV161 @ sK3_SY17 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK32_E @ SV161 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(258,plain,
! [SV161: $i > $o] :
( ( ( SV161 @ ( sK32_E @ SV161 ) )
= $false )
| ( ( SV161 @ sK3_SY17 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK32_E @ SV161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(259,plain,
! [SV159: $i,SV160: $i,SV163: $i > $o] :
( ( ( SV163 @ SV160 )
= $true )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ~ ( SV163 @ SX0 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(260,plain,
! [SV194: $i > $o,SV159: $i,SV160: $i,SV193: $i > $o] :
( ( ( SV193 @ SV160 )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( ( SV193 @ SX0 )
| ( SV194 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(261,plain,
! [SV193: $i > $o,SV159: $i,SV160: $i,SV194: $i > $o] :
( ( ( SV194 @ SV160 )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( ( SV193 @ SX0 )
| ( SV194 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[195]) ).
thf(262,plain,
! [SV159: $i,SV319: $i > $i,SV160: $i,SV318: $i > $i] :
( ( ( in @ ( SV318 @ SV160 ) @ ( SV319 @ SV160 ) )
= $false )
| ( ( in @ SV160
@ ( dsetconstr @ SV159
@ ^ [SX0: $i] :
~ ( in @ ( SV318 @ SX0 ) @ ( SV319 @ SX0 ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[256]) ).
thf(265,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,262,261,260,259,258,257,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,211,210,209,208,207,206,205,204,203,202,201,200,199,198,170,158,157,156,155,144,132,131,130,129,122,121,120,111,110,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,73,71,70,69,67,60,58,57,21]) ).
thf(266,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU800^2 : TPTP v8.1.0. Released v3.7.0.
% 0.12/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 09:09:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 0
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 408
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.35 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.19/0.49
% 0.19/0.49 Prim_subst applied to clause
% 0.19/0.49
% 0.19/0.49 60:[ 0:<(in@SV20)@((dsetconstr@SV19)@(^[SX0:$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 ])
% 1.44/1.65 ...
% 7.78/8.01
% 7.78/8.01 Prim_subst applied to clause
% 7.78/8.01
% 7.78/8.01 158:[ 0:<SV161@SV160 = $false>-w(1)-i() 1:<(in@SV160)@((dsetconstr@SV159)@(^[SX0:$i]: (~ (SV161@SX0)))) = $false>-w(1)-i() ]-mln(2)-w(2)-i(rename 54)-o(AXIOM)-fv([ SV159 SV160 SV161 ])
% 9.55/9.75 ..
% 19.42/19.73
% 19.42/19.73 ********************************
% 19.42/19.73 * All subproblems solved! *
% 19.42/19.73 ********************************
% 19.42/19.73 % 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:265,loop_count:10,foatp_calls:3,translation:fof_full)
% 19.42/19.76
% 19.42/19.76 %**** Beginning of derivation protocol ****
% 19.42/19.76 % SZS output start CNFRefutation
% See solution above
% 19.57/19.76
% 19.57/19.76 %**** End of derivation protocol ****
% 19.57/19.76 %**** no. of clauses in derivation: 195 ****
% 19.57/19.76 %**** clause counter: 265 ****
% 19.57/19.76
% 19.57/19.76 % 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:265,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------