TSTP Solution File: SEU798^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU798^2 : 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 : n023.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 12:14:49 EDT 2022
% Result : Theorem 13.26s 13.58s
% Output : CNFRefutation 13.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 241 ( 32 unt; 24 typ; 2 def)
% Number of atoms : 2084 ( 798 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 3465 ( 112 ~; 412 |; 4 &;2918 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 221 ( 221 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 24 usr; 15 con; 0-5 aty)
% Number of variables : 836 ( 354 ^ 482 !; 0 ?; 836 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrI,type,
dsetconstrI: $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_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK2_SY14,type,
sK2_SY14: $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 > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: ( $i > $i ) > ( $i > $i ) > $i > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: $i > ( $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: ( $i > $i ) > ( $i > $i ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK9_E,type,
sK9_E: ( $i > $o ) > $i ).
thf(dsetconstrI,definition,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
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,
( dsetconstrI
=> ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( funcSet @ A @ B ) )
=> ( ( injective @ A @ B @ Xf )
=> ( in @ Xf @ ( injFuncSet @ A @ B ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',injFuncInInjFuncSet) ).
thf(2,negated_conjecture,
( ( dsetconstrI
=> ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( funcSet @ A @ B ) )
=> ( ( injective @ A @ B @ Xf )
=> ( in @ Xf @ ( injFuncSet @ A @ B ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
=> ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2 @ ( funcSet @ SY0 @ SY1 ) )
=> ( ( injective @ SY0 @ SY1 @ SY2 )
=> ( in @ SY2
@ ( dsetconstr @ ( funcSet @ SY0 @ SY1 )
@ ^ [SY5: $i] : ( injective @ SY0 @ SY1 @ SY5 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrI,injFuncSet]) ).
thf(4,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2 @ ( funcSet @ SY0 @ SY1 ) )
=> ( ( injective @ SY0 @ SY1 @ SY2 )
=> ( in @ SY2
@ ( dsetconstr @ ( funcSet @ SY0 @ SY1 )
@ ^ [SY5: $i] : ( injective @ SY0 @ SY1 @ SY5 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [SY0: $i,SY1: $i,SY2: $i] :
( ( in @ SY2 @ ( funcSet @ SY0 @ SY1 ) )
=> ( ( injective @ SY0 @ SY1 @ SY2 )
=> ( in @ SY2
@ ( dsetconstr @ ( funcSet @ SY0 @ SY1 )
@ ^ [SY5: $i] : ( injective @ SY0 @ SY1 @ SY5 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
& ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
& ~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SY18: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SY18 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ~ ( in @ Xx @ A )
| ~ ( Xphi @ Xx )
| ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
& ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
& ~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SY18: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SY18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
| ~ ~ ( ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
| ~ ~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,dsetconstrI,injFuncSet]) ).
thf(12,plain,
! [SV1: $i] :
( ( ! [SY20: $i > $o,SY21: $i] :
( ~ ( in @ SY21 @ SV1 )
| ~ ( SY20 @ SY21 )
| ( in @ SY21
@ ( dsetconstr @ SV1
@ ^ [Xy: $i] : ( SY20 @ Xy ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
| ~ ~ ( ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
| ~ ~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: $i > $o,SV1: $i] :
( ( ! [SY23: $i] :
( ~ ( in @ SY23 @ SV1 )
| ~ ( SV2 @ SY23 )
| ( in @ SY23
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
| ~ ~ ( 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(17,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ~ ( in @ SV3 @ SV1 )
| ~ ( SV2 @ SV3 )
| ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
| ~ ~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ( ~ ( in @ SV3 @ SV1 ) )
= $true )
| ( ( ~ ( SV2 @ SV3 )
| ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
| ~ ~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV2: $i > $o,SV1: $i,SV3: $i] :
( ( ( in @ SV3 @ SV1 )
= $false )
| ( ( ~ ( SV2 @ SV3 )
| ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,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)],[21]) ).
thf(25,plain,
! [SV1: $i,SV3: $i,SV2: $i > $o] :
( ( ( ~ ( SV2 @ SV3 ) )
= $true )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,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)],[24]) ).
thf(28,plain,
! [SV1: $i,SV3: $i,SV2: $i > $o] :
( ( ( SV2 @ SV3 )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SY24: $i] : ( SV2 @ SY24 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: $i,SV3: $i] :
( ( $true = $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV2,$thf( ^ [SV7: $i] : $true ))]]) ).
thf(32,plain,
! [SV1: $i,SV3: $i,SV5: $i > $o] :
( ( ( ~ ( SV5 @ SV3 ) )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV2,$thf( ^ [SV4: $i] : ~ ( SV5 @ SV4 ) ))]]) ).
thf(33,plain,
! [SV1: $i,SV3: $i] :
( ( ( SV3 = sK1_SY0 )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV2,$thf( ^ [SV8: $i] : ( SV8 = sK1_SY0 ) ))]]) ).
thf(34,plain,
! [SV1: $i,SV3: $i] :
( ( ( SV3 = sK3_SY17 )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV2,$thf( ^ [SV9: $i] : ( SV9 = sK3_SY17 ) ))]]) ).
thf(35,plain,
! [SV1: $i,SV3: $i] :
( ( ( SV3 = sK2_SY14 )
= $false )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV2,$thf( ^ [SV10: $i] : ( SV10 = sK2_SY14 ) ))]]) ).
thf(36,plain,
! [SV1: $i,SV3: $i,SV5: $i > $o] :
( ( ( SV5 @ SV3 )
= $true )
| ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV5 @ SX0 ) ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: $i] :
( ( ( in @ sK1_SY0 @ SV1 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[33:[bind(SV3,$thf( sK1_SY0 ))]]) ).
thf(38,plain,
! [SV1: $i] :
( ( ( in @ sK3_SY17 @ SV1 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[34:[bind(SV3,$thf( sK3_SY17 ))]]) ).
thf(39,plain,
! [SV1: $i] :
( ( ( in @ sK2_SY14 @ SV1 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[35:[bind(SV3,$thf( sK2_SY14 ))]]) ).
thf(40,plain,
! [SV1: $i,SV3: $i] :
( ( ( in @ SV3
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV3 @ SV1 )
= $false ) ),
inference(sim,[status(thm)],[30]) ).
thf(41,plain,
! [SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(rename,[status(thm)],[28]) ).
thf(47,plain,
! [SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( SV13 @ SV12 )
= ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[41,26]) ).
thf(48,plain,
! [SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ SV12 @ SV11 )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[41,18]) ).
thf(49,plain,
! [SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( SV13 @ SV12 )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[41,18]) ).
thf(50,plain,
! [SV11: $i,SV12: $i] :
( ( $true = $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV13,$thf( ^ [SV17: $i] : $true ))]]) ).
thf(51,plain,
! [SV11: $i,SV12: $i] :
( ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(sim,[status(thm)],[50]) ).
thf(53,plain,
! [SV11: $i,SV12: $i,SV15: $i > $o] :
( ( ( ~ ( SV15 @ SV12 ) )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] :
~ ( SV15 @ SX0 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV13,$thf( ^ [SV14: $i] : ~ ( SV15 @ SV14 ) ))]]) ).
thf(54,plain,
! [SV11: $i,SV12: $i] :
( ( ( SV12 = sK1_SY0 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV13,$thf( ^ [SV18: $i] : ( SV18 = sK1_SY0 ) ))]]) ).
thf(55,plain,
! [SV11: $i,SV12: $i] :
( ( ( SV12 = sK3_SY17 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV13,$thf( ^ [SV19: $i] : ( SV19 = sK3_SY17 ) ))]]) ).
thf(56,plain,
! [SV11: $i,SV12: $i] :
( ( ( SV12 = sK2_SY14 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV13,$thf( ^ [SV20: $i] : ( SV20 = sK2_SY14 ) ))]]) ).
thf(57,plain,
! [SV11: $i,SV27: $i > $o,SV12: $i,SV26: $i > $o] :
( ( ( ( SV26 @ SV12 )
| ( SV27 @ SV12 ) )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] :
( ( SV26 @ SX0 )
| ( SV27 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(prim_subst,[status(thm)],[41:[bind(SV13,$thf( ^ [SV25: $i] : ( ( SV26 @ SV25 ) | ( SV27 @ SV25 ) ) ))]]) ).
thf(59,plain,
! [SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ SX0 @ SX0 ) ) ) )
= $true )
| ( ( sK3_SY17 = sK2_SY14 )
= $false )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK3_SY17 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ SX0 @ SX0 ) ) ))]]) ).
thf(60,plain,
! [SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ SX0 @ sK2_SY14 ) ) ) )
= $true )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK3_SY17 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ SX0 @ sK2_SY14 ) ) ))]]) ).
thf(61,plain,
! [SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ sK1_SY0 @ SX0 ) ) ) )
= $true )
| ( ( sK3_SY17 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK3_SY17 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ sK1_SY0 @ SX0 ) ) ))]]) ).
thf(62,plain,
! [SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK3_SY17 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) ))]]) ).
thf(63,plain,
! [SV66: $i > $i,SV65: $i > $i,SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ ( SV65 @ SX0 ) @ ( SV66 @ SX0 ) ) ) ) )
= $true )
| ( ( ( funcSet @ ( SV65 @ sK3_SY17 ) @ ( SV66 @ sK3_SY17 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK3_SY17 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( funcSet @ ( SV65 @ SX0 ) @ ( SV66 @ SX0 ) ) ) ))]]) ).
thf(64,plain,
! [SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY17
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK3_SY17 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(65,plain,
! [SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ SX0 @ SX0 ) ) ) )
= $true )
| ( ( sK1_SY0 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK1_SY0 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ SX0 @ SX0 ) ) ))]]) ).
thf(66,plain,
! [SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ SX0 @ sK2_SY14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK1_SY0 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ SX0 @ sK2_SY14 ) ) ))]]) ).
thf(67,plain,
! [SV11: $i] :
( ( ( in @ sK2_SY14 @ SV11 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( sK2_SY14 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ SX0 ) ) ))]]) ).
thf(68,plain,
! [SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV13,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) ))]]) ).
thf(69,plain,
! [SV56: $i > $i,SV55: $i > $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ ( SV55 @ SX0 ) @ ( SV56 @ SX0 ) ) ) ) )
= $true )
| ( ( ( funcSet @ ( SV55 @ SV12 ) @ ( SV56 @ SV12 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV13,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( funcSet @ ( SV55 @ SX0 ) @ ( SV56 @ SX0 ) ) ) ))]]) ).
thf(70,plain,
! [SV11: $i] :
( ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) @ SV11 )
= $false )
| ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV12,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV13,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(71,plain,
! [SV50: $i > $i,SV49: $i > $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ ( SV49 @ SX0 ) @ ( SV50 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV49 @ SV12 ) @ ( SV50 @ SV12 ) )
= $true )
| ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $true ) ),
inference(extuni,[status(esa)],[49:[bind(SV13,$thf( ^ [SX0: $i] : ( in @ ( SV49 @ SX0 ) @ ( SV50 @ SX0 ) ) ))]]) ).
thf(72,plain,
! [SV50: $i > $i,SV49: $i > $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( in @ ( SV49 @ SX0 ) @ ( SV50 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV49 @ SV12 ) @ ( SV50 @ SV12 ) )
= $false )
| ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[49:[bind(SV13,$thf( ^ [SX0: $i] : ( in @ ( SV49 @ SX0 ) @ ( SV50 @ SX0 ) ) ))]]) ).
thf(73,plain,
! [SV13: $i > $o] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[48:[bind(SV11,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV12,$thf( sK3_SY17 ))]]) ).
thf(74,plain,
! [SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK1_SY0 = sK3_SY17 )
= $false )
| ( ( sK1_SY0 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV12,$thf( sK1_SY0 )),bind(SV13,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ SX0 ) ))]]) ).
thf(75,plain,
! [SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ sK3_SY17 ) ) )
= $true )
| ( ( sK1_SY0 = sK2_SY14 )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV12,$thf( sK1_SY0 )),bind(SV13,$thf( ^ [SX0: $i] : ( injective @ SX0 @ SX0 @ sK3_SY17 ) ))]]) ).
thf(76,plain,
! [SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ SX0 ) ) )
= $true )
| ( ( sK1_SY0 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV12,$thf( sK1_SY0 )),bind(SV13,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ SX0 ) ))]]) ).
thf(77,plain,
! [SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[47:[bind(SV12,$thf( sK1_SY0 )),bind(SV13,$thf( ^ [SX0: $i] : ( injective @ SX0 @ sK2_SY14 @ sK3_SY17 ) ))]]) ).
thf(78,plain,
! [SV11: $i] :
( ( ( in @ sK2_SY14 @ SV11 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV12,$thf( sK2_SY14 )),bind(SV13,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ SX0 ) ))]]) ).
thf(79,plain,
! [SV11: $i] :
( ( ( in @ sK2_SY14 @ SV11 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[47:[bind(SV12,$thf( sK2_SY14 )),bind(SV13,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ SX0 @ sK3_SY17 ) ))]]) ).
thf(80,plain,
! [SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[47:[bind(SV12,$thf( sK3_SY17 )),bind(SV13,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ))]]) ).
thf(81,plain,
! [SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[47:[bind(SV13,$thf( ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 ) ))]]) ).
thf(82,plain,
! [SV77: $i > $i,SV76: $i > $i,SV75: $i > $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ ( SV75 @ SX0 ) @ ( SV76 @ SX0 ) @ ( SV77 @ SX0 ) ) ) )
= $true )
| ( ( injective @ ( SV75 @ SV12 ) @ ( SV76 @ SV12 ) @ ( SV77 @ SV12 ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[47:[bind(SV13,$thf( ^ [SX0: $i] : ( injective @ ( SV75 @ SX0 ) @ ( SV76 @ SX0 ) @ ( SV77 @ SX0 ) ) ))]]) ).
thf(83,plain,
! [SV77: $i > $i,SV76: $i > $i,SV75: $i > $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( injective @ ( SV75 @ SX0 ) @ ( SV76 @ SX0 ) @ ( SV77 @ SX0 ) ) ) )
= $true )
| ( ( injective @ ( SV75 @ SV12 ) @ ( SV76 @ SV12 ) @ ( SV77 @ SV12 ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[47:[bind(SV13,$thf( ^ [SX0: $i] : ( injective @ ( SV75 @ SX0 ) @ ( SV76 @ SX0 ) @ ( SV77 @ SX0 ) ) ))]]) ).
thf(86,plain,
! [SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[54:[bind(SV12,$thf( sK1_SY0 ))]]) ).
thf(87,plain,
! [SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[55:[bind(SV12,$thf( sK3_SY17 ))]]) ).
thf(88,plain,
! [SV11: $i] :
( ( ( in @ sK2_SY14 @ SV11 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[56:[bind(SV12,$thf( sK2_SY14 ))]]) ).
thf(89,plain,
! [SV11: $i,SV12: $i,SV15: $i > $o] :
( ( ( SV15 @ SV12 )
= $true )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] :
~ ( SV15 @ SX0 ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(90,plain,
! [SV27: $i > $o,SV11: $i,SV12: $i,SV26: $i > $o] :
( ( ( SV26 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] :
( ( SV26 @ SX0 )
| ( SV27 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(91,plain,
! [SV26: $i > $o,SV11: $i,SV12: $i,SV27: $i > $o] :
( ( ( SV27 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] :
( ( SV26 @ SX0 )
| ( SV27 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(92,plain,
! [SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[29,41]) ).
thf(94,plain,
( ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false ),
inference(res,[status(thm)],[29,18]) ).
thf(95,plain,
( ( ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ),
inference(extuni,[status(esa)],[94]) ).
thf(96,plain,
! [SV13: $i > $o] :
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( SV13 @ sK3_SY17 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ SV13 ) )
= $true )
| ( ( SV13 @ ( sK4_E @ SV13 ) )
= $true ) ),
inference(extuni,[status(esa)],[92:[bind(SV11,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV12,$thf( sK3_SY17 ))]]) ).
thf(97,plain,
! [SV13: $i > $o] :
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( SV13 @ sK3_SY17 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK4_E @ SV13 ) )
= $false )
| ( ( SV13 @ ( sK4_E @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV11,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV12,$thf( sK3_SY17 ))]]) ).
thf(98,plain,
! [SV13: $i > $o,SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( SV13 @ sK3_SY17 )
= $false )
| ( ( ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )
= ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV12,$thf( sK3_SY17 ))]]) ).
thf(99,plain,
! [SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(rename,[status(thm)],[36]) ).
thf(104,plain,
! [SV96: $i,SV97: $i,SV98: $i > $o,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= ( in @ SV12 @ SV11 ) )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[99,41]) ).
thf(105,plain,
! [SV96: $i,SV97: $i,SV98: $i > $o,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( SV98 @ SV97 )
= ( in @ SV12 @ SV11 ) )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[99,41]) ).
thf(106,plain,
! [SV96: $i,SV97: $i,SV98: $i > $o,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ SV97 @ SV96 )
= ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[99,41]) ).
thf(109,plain,
! [SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(res,[status(thm)],[99,29]) ).
thf(110,plain,
! [SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( SV98 @ SV97 )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(res,[status(thm)],[99,29]) ).
thf(112,plain,
! [SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ SV97 @ SV96 )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[99,18]) ).
thf(114,plain,
! [SV96: $i,SV97: $i] :
( ( $false = $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] : ~ $false ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(prim_subst,[status(thm)],[99:[bind(SV98,$thf( ^ [SV101: $i] : $false ))]]) ).
thf(115,plain,
! [SV96: $i,SV97: $i] :
( ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] : ~ $false ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(sim,[status(thm)],[114]) ).
thf(116,plain,
! [SV96: $i,SV97: $i,SV100: $i > $o] :
( ( ( ~ ( SV100 @ SV97 ) )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ~ ( SV100 @ SX0 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(prim_subst,[status(thm)],[99:[bind(SV98,$thf( ^ [SV99: $i] : ~ ( SV100 @ SV99 ) ))]]) ).
thf(117,plain,
! [SV96: $i,SV97: $i] :
( ( ( SV97 = sK3_SY17 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] : ( SX0 != sK3_SY17 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(prim_subst,[status(thm)],[99:[bind(SV98,$thf( ^ [SV103: $i] : ( SV103 = sK3_SY17 ) ))]]) ).
thf(118,plain,
! [SV96: $i,SV97: $i] :
( ( ( SV97 = sK2_SY14 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] : ( SX0 != sK2_SY14 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(prim_subst,[status(thm)],[99:[bind(SV98,$thf( ^ [SV104: $i] : ( SV104 = sK2_SY14 ) ))]]) ).
thf(119,plain,
! [SV96: $i,SV97: $i] :
( ( ( SV97 = sK1_SY0 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] : ( SX0 != sK1_SY0 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(prim_subst,[status(thm)],[99:[bind(SV98,$thf( ^ [SV105: $i] : ( SV105 = sK1_SY0 ) ))]]) ).
thf(120,plain,
! [SV96: $i,SV112: $i > $o,SV97: $i,SV111: $i > $o] :
( ( ( ( SV111 @ SV97 )
| ( SV112 @ SV97 ) )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( ( SV111 @ SX0 )
| ( SV112 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(prim_subst,[status(thm)],[99:[bind(SV98,$thf( ^ [SV110: $i] : ( ( SV111 @ SV110 ) | ( SV112 @ SV110 ) ) ))]]) ).
thf(121,plain,
! [SV96: $i,SV109: $i > $i,SV97: $i,SV108: $i > $i] :
( ( ( ( SV108 @ SV97 )
= ( SV109 @ SV97 ) )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
( ( SV108 @ SX0 )
!= ( SV109 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(prim_subst,[status(thm)],[99:[bind(SV98,$thf( ^ [SV107: $i] : ( ( SV108 @ SV107 ) = ( SV109 @ SV107 ) ) ))]]) ).
thf(122,plain,
! [SV98: $i > $o] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( SV98 @ sK3_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[112:[bind(SV96,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV97,$thf( sK3_SY17 ))]]) ).
thf(123,plain,
! [SV205: $i > $i > $i,SV204: $i > $i > $i,SV203: $i > $i > $i,SV181: $i > $i,SV180: $i > $i,SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ ( funcSet @ ( SV180 @ SX0 ) @ ( SV181 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV203 @ sK3_SY17
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) )
@ ( SV204 @ sK3_SY17
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) )
@ ( SV205 @ sK3_SY17
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( funcSet @ ( SV180 @ sK3_SY17 ) @ ( SV181 @ sK3_SY17 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( sK3_SY17 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( funcSet @ ( SV180 @ SX0 ) @ ( SV181 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(124,plain,
! [SV205: $i > $i > $i,SV204: $i > $i > $i,SV203: $i > $i > $i,SV181: $i > $i,SV180: $i > $i,SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ ( funcSet @ ( SV180 @ SX0 ) @ ( SV181 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV203 @ sK3_SY17
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) )
@ ( SV204 @ sK3_SY17
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) )
@ ( SV205 @ sK3_SY17
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK8_E @ SV181 @ SV180 @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( funcSet @ ( SV180 @ sK3_SY17 ) @ ( SV181 @ sK3_SY17 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( sK3_SY17 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( funcSet @ ( SV180 @ SX0 ) @ ( SV181 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV203 @ SX0 @ SX1 ) @ ( SV204 @ SX0 @ SX1 ) @ ( SV205 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(125,plain,
! [SV188: $i > $i > $i,SV187: $i > $i > $i,SV186: $i > $i > $i,SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV186 @ sK3_SY17
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) )
@ ( SV187 @ sK3_SY17
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) )
@ ( SV188 @ sK3_SY17
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( sK3_SY17
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( sK3_SY17 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(126,plain,
! [SV188: $i > $i > $i,SV187: $i > $i > $i,SV186: $i > $i > $i,SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ SX0
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV186 @ sK3_SY17
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) )
@ ( SV187 @ sK3_SY17
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) )
@ ( SV188 @ sK3_SY17
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK7_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( sK3_SY17
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( sK3_SY17 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV186 @ SX0 @ SX1 ) @ ( SV187 @ SX0 @ SX1 ) @ ( SV188 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(127,plain,
! [SV177: $i > $i > $o,SV176: $i > $i,SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ SX0 @ ( dsetconstr @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV176 @ sK3_SY17 ) @ ( SV177 @ sK3_SY17 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( sK3_SY17 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ SX0 @ ( dsetconstr @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ) ))]]) ).
thf(128,plain,
! [SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY17
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( sK3_SY17 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(129,plain,
! [SV169: $i > $i > $i,SV168: $i > $i > $i,SV167: $i > $i > $i,SV145: $i > $i,SV144: $i > $i,SV96: $i,SV97: $i] :
( ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ ( SV144 @ SX0 ) @ ( SV145 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV167 @ SV97
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) )
@ ( SV168 @ SV97
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) )
@ ( SV169 @ SV97
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ( funcSet @ ( SV144 @ SV97 ) @ ( SV145 @ SV97 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV98,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( funcSet @ ( SV144 @ SX0 ) @ ( SV145 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(130,plain,
! [SV169: $i > $i > $i,SV168: $i > $i > $i,SV167: $i > $i > $i,SV145: $i > $i,SV144: $i > $i,SV96: $i,SV97: $i] :
( ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ ( SV144 @ SX0 ) @ ( SV145 @ SX0 ) )
@ ^ [SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV167 @ SV97
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) )
@ ( SV168 @ SV97
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) )
@ ( SV169 @ SV97
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK6_E @ SV145 @ SV144 @ SV96 @ SV97
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ( funcSet @ ( SV144 @ SV97 ) @ ( SV145 @ SV97 ) )
= ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV98,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( funcSet @ ( SV144 @ SX0 ) @ ( SV145 @ SX0 ) ) @ ^ [SX1: $i] : ( injective @ ( SV167 @ SX0 @ SX1 ) @ ( SV168 @ SX0 @ SX1 ) @ ( SV169 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(131,plain,
! [SV152: $i > $i > $i,SV151: $i > $i > $i,SV150: $i > $i > $i,SV96: $i] :
( ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) @ SV96 )
= $false )
| ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV150 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) )
@ ( SV151 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) )
@ ( SV152 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(132,plain,
! [SV152: $i > $i > $i,SV151: $i > $i > $i,SV150: $i > $i > $i,SV96: $i] :
( ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) @ SV96 )
= $false )
| ( ( in @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17
@ ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( injective
@ ( SV150 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) )
@ ( SV151 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) )
@ ( SV152 @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14
@ ( sK5_E @ SV96
@ ^ [SX0: $i,SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( injective @ ( SV150 @ SX0 @ SX1 ) @ ( SV151 @ SX0 @ SX1 ) @ ( SV152 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(133,plain,
! [SV141: $i > $i > $o,SV140: $i > $i,SV96: $i,SV97: $i] :
( ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ ( dsetconstr @ ( SV140 @ SX0 ) @ ( SV141 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV140 @ SV97 ) @ ( SV141 @ SV97 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV98,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ ( dsetconstr @ ( SV140 @ SX0 ) @ ( SV141 @ SX0 ) ) ) ))]]) ).
thf(134,plain,
! [SV96: $i] :
( ( ( in
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )
@ SV96 )
= $false )
| ( ( in
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ sK3_SY17 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[110:[bind(SV97,$thf( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) @ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(135,plain,
! [SV135: $i > $i,SV134: $i > $i,SV96: $i,SV97: $i] :
( ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ ( SV134 @ SX0 ) @ ( SV135 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV134 @ SV97 ) @ ( SV135 @ SV97 ) )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[110:[bind(SV98,$thf( ^ [SX0: $i] : ( in @ ( SV134 @ SX0 ) @ ( SV135 @ SX0 ) ) ))]]) ).
thf(136,plain,
! [SV135: $i > $i,SV134: $i > $i,SV96: $i,SV97: $i] :
( ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ ( SV134 @ SX0 ) @ ( SV135 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV134 @ SV97 ) @ ( SV135 @ SV97 ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[110:[bind(SV98,$thf( ^ [SX0: $i] : ( in @ ( SV134 @ SX0 ) @ ( SV135 @ SX0 ) ) ))]]) ).
thf(137,plain,
! [SV98: $i > $o] :
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( SV98 @ sK3_SY17 )
= $true )
| ( ( ~ ( SV98 @ ( sK9_E @ SV98 ) ) )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK9_E @ SV98 ) )
= $true ) ),
inference(extuni,[status(esa)],[109:[bind(SV96,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV97,$thf( sK3_SY17 ))]]) ).
thf(138,plain,
! [SV98: $i > $o] :
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( SV98 @ sK3_SY17 )
= $true )
| ( ( ~ ( SV98 @ ( sK9_E @ SV98 ) ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK9_E @ SV98 ) )
= $false ) ),
inference(extuni,[status(esa)],[109:[bind(SV96,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV97,$thf( sK3_SY17 ))]]) ).
thf(139,plain,
! [SV98: $i > $o,SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( SV98 @ sK3_SY17 )
= $true )
| ( ( ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[109:[bind(SV97,$thf( sK3_SY17 ))]]) ).
thf(140,plain,
! [SV98: $i > $o,SV13: $i > $o,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) )
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( SV98 @ SV12 )
= $true ) ),
inference(extuni,[status(esa)],[106:[bind(SV96,$thf( dsetconstr @ SV11 @ ^ [SX0: $i] : ( SV13 @ SX0 ) )),bind(SV97,$thf( SV12 ))]]) ).
thf(141,plain,
! [SV96: $i,SV13: $i > $o,SV213: $i > $i,SV97: $i,SV212: $i > $i] :
( ( ( in @ ( SV212 @ SV97 )
@ ( dsetconstr @ ( SV213 @ SV97 )
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ ( SV212 @ SV97 ) )
= $false )
| ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ ( SV212 @ SX0 ) @ ( SV213 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[105:[bind(SV11,$thf( SV213 @ SV97 )),bind(SV12,$thf( SV212 @ SV97 )),bind(SV98,$thf( ^ [SX0: $i] : ( in @ ( SV212 @ SX0 ) @ ( SV213 @ SX0 ) ) ))]]) ).
thf(142,plain,
! [SV213: $i > $i,SV212: $i > $i,SV96: $i,SV97: $i,SV13: $i > $o,SV11: $i,SV12: $i] :
( ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ ( SV212 @ SX0 ) @ ( SV213 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV212 @ SV97 ) @ ( SV213 @ SV97 ) )
= $true )
| ( ( in @ SV12 @ SV11 )
= $true ) ),
inference(extuni,[status(esa)],[105:[bind(SV98,$thf( ^ [SX0: $i] : ( in @ ( SV212 @ SX0 ) @ ( SV213 @ SX0 ) ) ))]]) ).
thf(143,plain,
! [SV213: $i > $i,SV212: $i > $i,SV96: $i,SV97: $i,SV13: $i > $o,SV11: $i,SV12: $i] :
( ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV97 @ SV96 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( in @ ( SV212 @ SX0 ) @ ( SV213 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV212 @ SV97 ) @ ( SV213 @ SV97 ) )
= $false )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(extuni,[status(esa)],[105:[bind(SV98,$thf( ^ [SX0: $i] : ( in @ ( SV212 @ SX0 ) @ ( SV213 @ SX0 ) ) ))]]) ).
thf(144,plain,
! [SV13: $i > $o,SV98: $i > $o,SV96: $i,SV12: $i] :
( ( ( in @ SV12
@ ( dsetconstr
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) )
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV96 )
= $false )
| ( ( SV98 @ SV12 )
= $true ) ),
inference(extuni,[status(esa)],[104:[bind(SV11,$thf( dsetconstr @ SV96 @ ^ [SX0: $i] : ~ ( SV98 @ SX0 ) )),bind(SV97,$thf( SV12 ))]]) ).
thf(147,plain,
! [SV98: $i > $o] :
( ( ( SV98 @ ( sK9_E @ SV98 ) )
= $true )
| ( ( SV98 @ sK3_SY17 )
= $true )
| ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK9_E @ SV98 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(148,plain,
! [SV98: $i > $o] :
( ( ( SV98 @ ( sK9_E @ SV98 ) )
= $false )
| ( ( SV98 @ sK3_SY17 )
= $true )
| ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ ( sK9_E @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(149,plain,
! [SV96: $i,SV97: $i,SV100: $i > $o] :
( ( ( SV100 @ SV97 )
= $false )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ~ ( SV100 @ SX0 ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(150,plain,
! [SV96: $i,SV112: $i > $o,SV97: $i,SV111: $i > $o] :
( ( ( SV111 @ SV97 )
= $true )
| ( ( SV112 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( ( SV111 @ SX0 )
| ( SV112 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(151,plain,
! [SV218: $i] :
( ( ( in @ sK1_SY0 @ SV218 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(rename,[status(thm)],[37]) ).
thf(154,plain,
! [SV218: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= ( in @ SV97 @ SV96 ) )
= $false )
| ( ( in @ sK1_SY0 @ SV218 )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[151,99]) ).
thf(155,plain,
! [SV218: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ sK1_SY0 @ SV218 )
= ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(res,[status(thm)],[151,99]) ).
thf(157,plain,
! [SV218: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= ( in @ SV12 @ SV11 ) )
= $false )
| ( ( in @ sK1_SY0 @ SV218 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[151,41]) ).
thf(158,plain,
! [SV218: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ sK1_SY0 @ SV218 )
= ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[151,41]) ).
thf(160,plain,
! [SV218: $i] :
( ( ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK1_SY0 @ SV218 )
= $false ) ),
inference(res,[status(thm)],[151,29]) ).
thf(162,plain,
! [SV218: $i] :
( ( ( ( in @ sK1_SY0 @ SV218 )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(res,[status(thm)],[151,18]) ).
thf(163,plain,
( ( ( in @ sK1_SY0
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[162:[bind(SV218,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(164,plain,
( ( ( in @ sK1_SY0 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( sK10_E = sK1_SY0 )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK10_E )
= $true )
| ( ( sK1_SY0 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV218,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(165,plain,
( ( ( in @ sK1_SY0 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( sK10_E = sK1_SY0 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK10_E )
= $false )
| ( ( sK1_SY0 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[160:[bind(SV218,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(166,plain,
! [SV218: $i] :
( ( ( in @ sK1_SY0 @ SV218 )
= $false )
| ( ( ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false )
| ( ( sK1_SY0 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[160]) ).
thf(167,plain,
! [SV13: $i > $o,SV11: $i] :
( ( ( in @ sK1_SY0 @ SV11 )
= $false )
| ( ( SV13 @ sK1_SY0 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) )
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[158:[bind(SV218,$thf( dsetconstr @ SV11 @ ^ [SX0: $i] : ( SV13 @ SX0 ) )),bind(SV12,$thf( sK1_SY0 ))]]) ).
thf(168,plain,
! [SV13: $i > $o,SV218: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ sK1_SY0 )
= $false )
| ( ( in @ sK1_SY0 @ SV218 )
= $false ) ),
inference(extuni,[status(esa)],[157:[bind(SV11,$thf( dsetconstr @ SV218 @ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )),bind(SV12,$thf( sK1_SY0 ))]]) ).
thf(169,plain,
! [SV98: $i > $o,SV96: $i] :
( ( ( in @ sK1_SY0 @ SV96 )
= $false )
| ( ( SV98 @ sK1_SY0 )
= $true )
| ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) )
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[155:[bind(SV218,$thf( dsetconstr @ SV96 @ ^ [SX0: $i] : ~ ( SV98 @ SX0 ) )),bind(SV97,$thf( sK1_SY0 ))]]) ).
thf(170,plain,
! [SV98: $i > $o,SV218: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( SV98 @ sK1_SY0 )
= $true )
| ( ( in @ sK1_SY0 @ SV218 )
= $false ) ),
inference(extuni,[status(esa)],[154:[bind(SV96,$thf( dsetconstr @ SV218 @ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )),bind(SV97,$thf( sK1_SY0 ))]]) ).
thf(171,plain,
! [SV219: $i] :
( ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(rename,[status(thm)],[38]) ).
thf(174,plain,
! [SV219: $i,SV218: $i] :
( ( ( ( in @ sK3_SY17 @ SV219 )
= ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( in @ sK1_SY0 @ SV218 )
= $false ) ),
inference(res,[status(thm)],[171,151]) ).
thf(175,plain,
! [SV219: $i,SV218: $i] :
( ( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= ( in @ sK1_SY0 @ SV218 ) )
= $false )
| ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(res,[status(thm)],[171,151]) ).
thf(176,plain,
! [SV219: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= ( in @ SV97 @ SV96 ) )
= $false )
| ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[171,99]) ).
thf(177,plain,
! [SV219: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ sK3_SY17 @ SV219 )
= ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(res,[status(thm)],[171,99]) ).
thf(179,plain,
! [SV219: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= ( in @ SV12 @ SV11 ) )
= $false )
| ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[171,41]) ).
thf(180,plain,
! [SV219: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ sK3_SY17 @ SV219 )
= ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[171,41]) ).
thf(182,plain,
! [SV219: $i] :
( ( ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK3_SY17 @ SV219 )
= $false ) ),
inference(res,[status(thm)],[171,29]) ).
thf(184,plain,
! [SV219: $i] :
( ( ( ( in @ sK3_SY17 @ SV219 )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(res,[status(thm)],[171,18]) ).
thf(185,plain,
( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ),
inference(extuni,[status(esa)],[184:[bind(SV219,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(186,plain,
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( sK11_E = sK3_SY17 )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK11_E )
= $true ) ),
inference(extuni,[status(esa)],[182:[bind(SV219,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(187,plain,
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( sK11_E = sK3_SY17 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK11_E )
= $false ) ),
inference(extuni,[status(esa)],[182:[bind(SV219,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(188,plain,
! [SV219: $i] :
( ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[182]) ).
thf(189,plain,
! [SV13: $i > $o,SV11: $i] :
( ( ( in @ sK3_SY17 @ SV11 )
= $false )
| ( ( SV13 @ sK3_SY17 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[180:[bind(SV219,$thf( dsetconstr @ SV11 @ ^ [SX0: $i] : ( SV13 @ SX0 ) )),bind(SV12,$thf( sK3_SY17 ))]]) ).
thf(190,plain,
! [SV13: $i > $o,SV219: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ sK3_SY17 )
= $false )
| ( ( in @ sK3_SY17 @ SV219 )
= $false ) ),
inference(extuni,[status(esa)],[179:[bind(SV11,$thf( dsetconstr @ SV219 @ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )),bind(SV12,$thf( sK3_SY17 ))]]) ).
thf(191,plain,
! [SV98: $i > $o,SV96: $i] :
( ( ( in @ sK3_SY17 @ SV96 )
= $false )
| ( ( SV98 @ sK3_SY17 )
= $true )
| ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[177:[bind(SV219,$thf( dsetconstr @ SV96 @ ^ [SX0: $i] : ~ ( SV98 @ SX0 ) )),bind(SV97,$thf( sK3_SY17 ))]]) ).
thf(192,plain,
! [SV98: $i > $o,SV219: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( SV98 @ sK3_SY17 )
= $true )
| ( ( in @ sK3_SY17 @ SV219 )
= $false ) ),
inference(extuni,[status(esa)],[176:[bind(SV96,$thf( dsetconstr @ SV219 @ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )),bind(SV97,$thf( sK3_SY17 ))]]) ).
thf(193,plain,
! [SV219: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[175:[bind(SV218,$thf( dsetconstr @ SV219 @ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ))]]) ).
thf(194,plain,
! [SV218: $i] :
( ( ( in @ sK1_SY0 @ SV218 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( sK3_SY17 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[174:[bind(SV219,$thf( dsetconstr @ SV218 @ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ))]]) ).
thf(195,plain,
! [SV220: $i] :
( ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true ) ),
inference(rename,[status(thm)],[39]) ).
thf(198,plain,
! [SV220: $i,SV219: $i] :
( ( ( ( in @ sK2_SY14 @ SV220 )
= ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( in @ sK3_SY17 @ SV219 )
= $false ) ),
inference(res,[status(thm)],[195,171]) ).
thf(199,plain,
! [SV220: $i,SV219: $i] :
( ( ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ sK3_SY17 @ SV219 ) )
= $false )
| ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(res,[status(thm)],[195,171]) ).
thf(200,plain,
! [SV220: $i,SV218: $i] :
( ( ( ( in @ sK2_SY14 @ SV220 )
= ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( in @ sK1_SY0 @ SV218 )
= $false ) ),
inference(res,[status(thm)],[195,151]) ).
thf(201,plain,
! [SV220: $i,SV218: $i] :
( ( ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ sK1_SY0 @ SV218 ) )
= $false )
| ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(res,[status(thm)],[195,151]) ).
thf(202,plain,
! [SV220: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ SV97 @ SV96 ) )
= $false )
| ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[195,99]) ).
thf(203,plain,
! [SV220: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ sK2_SY14 @ SV220 )
= ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(res,[status(thm)],[195,99]) ).
thf(205,plain,
! [SV220: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ SV12 @ SV11 ) )
= $false )
| ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[195,41]) ).
thf(206,plain,
! [SV220: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ sK2_SY14 @ SV220 )
= ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[195,41]) ).
thf(208,plain,
! [SV220: $i] :
( ( ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( in @ sK2_SY14 @ SV220 )
= $false ) ),
inference(res,[status(thm)],[195,29]) ).
thf(210,plain,
! [SV220: $i] :
( ( ( ( in @ sK2_SY14 @ SV220 )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true ) ),
inference(res,[status(thm)],[195,18]) ).
thf(211,plain,
( ( ( in @ sK2_SY14
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[210:[bind(SV220,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(212,plain,
( ( ( in @ sK2_SY14 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( sK12_E = sK2_SY14 )
= $true )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK12_E )
= $true )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[208:[bind(SV220,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(213,plain,
( ( ( in @ sK2_SY14 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( sK12_E = sK2_SY14 )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK12_E )
= $false )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[208:[bind(SV220,$thf( funcSet @ sK1_SY0 @ sK2_SY14 ))]]) ).
thf(214,plain,
! [SV220: $i] :
( ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[208]) ).
thf(215,plain,
! [SV13: $i > $o,SV11: $i] :
( ( ( in @ sK2_SY14 @ SV11 )
= $false )
| ( ( SV13 @ sK2_SY14 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) )
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[206:[bind(SV220,$thf( dsetconstr @ SV11 @ ^ [SX0: $i] : ( SV13 @ SX0 ) )),bind(SV12,$thf( sK2_SY14 ))]]) ).
thf(216,plain,
! [SV13: $i > $o,SV220: $i] :
( ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ sK2_SY14 )
= $false )
| ( ( in @ sK2_SY14 @ SV220 )
= $false ) ),
inference(extuni,[status(esa)],[205:[bind(SV11,$thf( dsetconstr @ SV220 @ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )),bind(SV12,$thf( sK2_SY14 ))]]) ).
thf(217,plain,
! [SV98: $i > $o,SV96: $i] :
( ( ( in @ sK2_SY14 @ SV96 )
= $false )
| ( ( SV98 @ sK2_SY14 )
= $true )
| ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) )
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[203:[bind(SV220,$thf( dsetconstr @ SV96 @ ^ [SX0: $i] : ~ ( SV98 @ SX0 ) )),bind(SV97,$thf( sK2_SY14 ))]]) ).
thf(218,plain,
! [SV98: $i > $o,SV220: $i] :
( ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( SV98 @ sK2_SY14 )
= $true )
| ( ( in @ sK2_SY14 @ SV220 )
= $false ) ),
inference(extuni,[status(esa)],[202:[bind(SV96,$thf( dsetconstr @ SV220 @ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )),bind(SV97,$thf( sK2_SY14 ))]]) ).
thf(219,plain,
! [SV220: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( sK2_SY14 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[201:[bind(SV218,$thf( dsetconstr @ SV220 @ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ))]]) ).
thf(220,plain,
! [SV218: $i] :
( ( ( in @ sK1_SY0 @ SV218 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( sK2_SY14 = sK1_SY0 )
= $false ) ),
inference(extuni,[status(esa)],[200:[bind(SV220,$thf( dsetconstr @ SV218 @ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ))]]) ).
thf(221,plain,
! [SV220: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[199:[bind(SV219,$thf( dsetconstr @ SV220 @ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ))]]) ).
thf(222,plain,
! [SV219: $i] :
( ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( sK2_SY14 = sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[198:[bind(SV220,$thf( dsetconstr @ SV219 @ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ))]]) ).
thf(223,plain,
! [SV221: $i,SV222: $i] :
( ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV222 @ SV221 )
= $false ) ),
inference(rename,[status(thm)],[40]) ).
thf(226,plain,
! [SV221: $i,SV222: $i,SV220: $i] :
( ( ( ( in @ SV222 @ SV221 )
= ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) ) )
= $false )
| ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ sK2_SY14 @ SV220 )
= $false ) ),
inference(res,[status(thm)],[223,195]) ).
thf(227,plain,
! [SV221: $i,SV222: $i,SV220: $i] :
( ( ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= ( in @ sK2_SY14 @ SV220 ) )
= $false )
| ( ( in @ SV222 @ SV221 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true ) ),
inference(res,[status(thm)],[223,195]) ).
thf(228,plain,
! [SV221: $i,SV222: $i,SV219: $i] :
( ( ( ( in @ SV222 @ SV221 )
= ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) ) )
= $false )
| ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ sK3_SY17 @ SV219 )
= $false ) ),
inference(res,[status(thm)],[223,171]) ).
thf(229,plain,
! [SV221: $i,SV222: $i,SV219: $i] :
( ( ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= ( in @ sK3_SY17 @ SV219 ) )
= $false )
| ( ( in @ SV222 @ SV221 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(res,[status(thm)],[223,171]) ).
thf(230,plain,
! [SV221: $i,SV222: $i,SV218: $i] :
( ( ( ( in @ SV222 @ SV221 )
= ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) ) )
= $false )
| ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ sK1_SY0 @ SV218 )
= $false ) ),
inference(res,[status(thm)],[223,151]) ).
thf(231,plain,
! [SV221: $i,SV222: $i,SV218: $i] :
( ( ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= ( in @ sK1_SY0 @ SV218 ) )
= $false )
| ( ( in @ SV222 @ SV221 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true ) ),
inference(res,[status(thm)],[223,151]) ).
thf(232,plain,
! [SV221: $i,SV222: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= ( in @ SV97 @ SV96 ) )
= $false )
| ( ( in @ SV222 @ SV221 )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[223,99]) ).
thf(233,plain,
! [SV221: $i,SV222: $i,SV96: $i,SV97: $i,SV98: $i > $o] :
( ( ( ( in @ SV222 @ SV221 )
= ( in @ SV97
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97 @ SV96 )
= $false ) ),
inference(res,[status(thm)],[223,99]) ).
thf(235,plain,
! [SV221: $i,SV222: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= ( in @ SV12 @ SV11 ) )
= $false )
| ( ( in @ SV222 @ SV221 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[223,41]) ).
thf(236,plain,
! [SV221: $i,SV222: $i,SV11: $i,SV12: $i,SV13: $i > $o] :
( ( ( ( in @ SV222 @ SV221 )
= ( in @ SV12
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV11 )
= $false ) ),
inference(res,[status(thm)],[223,41]) ).
thf(238,plain,
! [SV221: $i,SV222: $i] :
( ( ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) ) )
= $false )
| ( ( in @ SV222 @ SV221 )
= $false ) ),
inference(res,[status(thm)],[223,29]) ).
thf(240,plain,
! [SV221: $i,SV222: $i] :
( ( ( ( in @ SV222 @ SV221 )
= ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) ) )
= $false )
| ( ( in @ SV222
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(res,[status(thm)],[223,18]) ).
thf(241,plain,
( ( in @ sK3_SY17
@ ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : $true ) )
= $true ),
inference(extuni,[status(esa)],[240:[bind(SV221,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV222,$thf( sK3_SY17 ))]]) ).
thf(243,plain,
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( $true = $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK18_E )
= $false ) ),
inference(extuni,[status(esa)],[238:[bind(SV221,$thf( funcSet @ sK1_SY0 @ sK2_SY14 )),bind(SV222,$thf( sK3_SY17 ))]]) ).
thf(244,plain,
! [SV221: $i] :
( ( ( in @ sK3_SY17 @ SV221 )
= $false )
| ( ( ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true )
= ( dsetconstr @ ( funcSet @ sK1_SY0 @ sK2_SY14 )
@ ^ [SX0: $i] : ( injective @ sK1_SY0 @ sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[238:[bind(SV222,$thf( sK3_SY17 ))]]) ).
thf(245,plain,
! [SV13: $i > $o,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ SV11 )
= $false )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12
@ ( dsetconstr
@ ( dsetconstr @ SV11
@ ^ [SX0: $i] : ( SV13 @ SX0 ) )
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(extuni,[status(esa)],[236:[bind(SV221,$thf( dsetconstr @ SV11 @ ^ [SX0: $i] : ( SV13 @ SX0 ) )),bind(SV222,$thf( SV12 ))]]) ).
thf(246,plain,
! [SV13: $i > $o,SV221: $i,SV12: $i] :
( ( ( in @ SV12
@ ( dsetconstr
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true )
@ ^ [SX0: $i] : ( SV13 @ SX0 ) ) )
= $true )
| ( ( SV13 @ SV12 )
= $false )
| ( ( in @ SV12 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[235:[bind(SV11,$thf( dsetconstr @ SV221 @ ^ [SX0: $i] : $true )),bind(SV222,$thf( SV12 ))]]) ).
thf(247,plain,
! [SV98: $i > $o,SV96: $i,SV97: $i] :
( ( ( in @ SV97 @ SV96 )
= $false )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97
@ ( dsetconstr
@ ( dsetconstr @ SV96
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) )
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(extuni,[status(esa)],[233:[bind(SV221,$thf( dsetconstr @ SV96 @ ^ [SX0: $i] : ~ ( SV98 @ SX0 ) )),bind(SV222,$thf( SV97 ))]]) ).
thf(248,plain,
! [SV98: $i > $o,SV221: $i,SV97: $i] :
( ( ( in @ SV97
@ ( dsetconstr
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true )
@ ^ [SX0: $i] :
~ ( SV98 @ SX0 ) ) )
= $true )
| ( ( SV98 @ SV97 )
= $true )
| ( ( in @ SV97 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[232:[bind(SV96,$thf( dsetconstr @ SV221 @ ^ [SX0: $i] : $true )),bind(SV222,$thf( SV97 ))]]) ).
thf(249,plain,
! [SV221: $i] :
( ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true )
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) ) )
= $true )
| ( ( in @ sK1_SY0 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[231:[bind(SV218,$thf( dsetconstr @ SV221 @ ^ [SX0: $i] : $true )),bind(SV222,$thf( sK1_SY0 ))]]) ).
thf(250,plain,
! [SV218: $i] :
( ( ( in @ sK1_SY0 @ SV218 )
= $false )
| ( ( in @ sK1_SY0
@ ( dsetconstr
@ ( dsetconstr @ SV218
@ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(extuni,[status(esa)],[230:[bind(SV221,$thf( dsetconstr @ SV218 @ ^ [SX0: $i] : ( SX0 = sK1_SY0 ) )),bind(SV222,$thf( sK1_SY0 ))]]) ).
thf(251,plain,
! [SV221: $i] :
( ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true )
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( in @ sK3_SY17 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[229:[bind(SV219,$thf( dsetconstr @ SV221 @ ^ [SX0: $i] : $true )),bind(SV222,$thf( sK3_SY17 ))]]) ).
thf(252,plain,
! [SV219: $i] :
( ( ( in @ sK3_SY17 @ SV219 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr
@ ( dsetconstr @ SV219
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(extuni,[status(esa)],[228:[bind(SV221,$thf( dsetconstr @ SV219 @ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) )),bind(SV222,$thf( sK3_SY17 ))]]) ).
thf(253,plain,
! [SV221: $i] :
( ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV221
@ ^ [SX0: $i] : $true )
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) ) )
= $true )
| ( ( in @ sK2_SY14 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[227:[bind(SV220,$thf( dsetconstr @ SV221 @ ^ [SX0: $i] : $true )),bind(SV222,$thf( sK2_SY14 ))]]) ).
thf(254,plain,
! [SV220: $i] :
( ( ( in @ sK2_SY14 @ SV220 )
= $false )
| ( ( in @ sK2_SY14
@ ( dsetconstr
@ ( dsetconstr @ SV220
@ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )
@ ^ [SX0: $i] : $true ) )
= $true ) ),
inference(extuni,[status(esa)],[226:[bind(SV221,$thf( dsetconstr @ SV220 @ ^ [SX0: $i] : ( SX0 = sK2_SY14 ) )),bind(SV222,$thf( sK2_SY14 ))]]) ).
thf(255,plain,
( ( ( in @ sK3_SY17 @ ( funcSet @ sK1_SY0 @ sK2_SY14 ) )
= $false )
| ( ( injective @ sK1_SY0 @ sK2_SY14 @ sK18_E )
= $false ) ),
inference(sim,[status(thm)],[243]) ).
thf(256,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,255,254,253,252,251,250,249,248,247,246,245,244,241,223,222,221,220,219,218,217,216,215,214,213,212,211,195,194,193,192,191,190,189,188,187,186,185,171,170,169,168,167,166,165,164,163,151,150,149,148,147,144,143,142,141,140,139,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,119,118,117,115,99,98,97,96,95,91,90,89,88,87,86,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,51,41,29,26]) ).
thf(257,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU798^2 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 13:41:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 422
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.20/0.51
% 0.20/0.51 Prim_subst applied to clause
% 0.20/0.51
% 0.20/0.51 41:[ 0:<SV13@SV12 = $false>-w(1)-i() 1:<(in@SV12)@((dsetconstr@SV11)@(^[SX0:$i]: (SV13@SX0))) = $true>-w(1)-i() 2:<(in@SV12)@SV11 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 28)-o(AXIOM)-fv([ SV11 SV12 SV13 ])
% 0.80/1.00 .
% 1.15/1.36
% 1.15/1.36 Prim_subst applied to clause
% 1.15/1.36
% 1.15/1.36 99:[ 0:<SV98@SV97 = $true>-w(1)-i() 1:<(in@SV97)@((dsetconstr@SV96)@(^[SX0:$i]: (~ (SV98@SX0)))) = $true>-w(1)-i() 2:<(in@SV97)@SV96 = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 36)-o(AXIOM)-fv([ SV96 SV97 SV98 ])
% 1.46/1.64 ....
% 13.26/13.58
% 13.26/13.58 ********************************
% 13.26/13.58 * All subproblems solved! *
% 13.26/13.58 ********************************
% 13.26/13.58 % 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:256,loop_count:10,foatp_calls:3,translation:fof_full)
% 13.44/13.63
% 13.44/13.63 %**** Beginning of derivation protocol ****
% 13.44/13.63 % SZS output start CNFRefutation
% See solution above
% 13.44/13.63
% 13.44/13.63 %**** End of derivation protocol ****
% 13.44/13.63 %**** no. of clauses in derivation: 215 ****
% 13.44/13.63 %**** clause counter: 256 ****
% 13.44/13.63
% 13.44/13.63 % 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:256,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------