%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU534^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:44:51 AM UTC 2026
% Result : Theorem 1.37s 0.53s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 127 ( 40 unt; 0 typ; 2 def)
% Number of atoms : 1035 ( 390 equ; 0 cnn)
% Maximal formula atoms : 5 ( 8 avg)
% Number of connectives : 1458 ( 61 ~; 197 |; 9 &;1166 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 89 ( 89 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 474 ( 228 ^; 241 !; 5 ?; 474 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrI,type,
dsetconstrI: $o ).
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_emptysetE,type,
emptysetE: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY14,type,
sK2_SY14: $i > $o ).
thf(tp_sK3_SY17,type,
sK3_SY17: $i ).
thf(tp_sK4_E,type,
sK4_E: $i > ( $i > $i ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: $i > ( $i > $i ) > ( $i > $i > $o ) > $i ).
thf(tp_sK6_E,type,
sK6_E: $i > ( $i > $i ) > $i > ( $i > $i > $o ) > $i ).
thf(tp_sK7_E,type,
sK7_E: $i > ( $i > $i ) > ( $i > $i > $o ) > $i ).
thf(tp_sK8_E,type,
sK8_E: $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/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
thf(emptysetE,definition,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptysetE) ).
thf(1,conjecture,
( dsetconstrI
=> ( emptysetE
=> ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyE1) ).
thf(2,negated_conjecture,
( ( dsetconstrI
=> ( emptysetE
=> ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) ) )
= $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 ) ) ) ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi )
=> ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrI,emptysetE]) ).
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,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [A: $i,Xphi: $i > $o] :
( ? [Xx: $i] :
( ( in @ Xx @ A )
& ( Xphi @ Xx ) )
=> ( ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= emptyset )
=> $false ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( sK2_SY14 @ sK3_SY17 )
& ( in @ sK3_SY17 @ sK1_A )
& ( ( dsetconstr @ sK1_A
@ ^ [SY18: $i] : ( sK2_SY14 @ SY18 ) )
= emptyset ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
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(extcnf_combined,[status(esa)],[4]) ).
thf(10,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,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)],[9]) ).
thf(13,plain,
( ( ( sK2_SY14 @ sK3_SY17 )
& ( in @ sK3_SY17 @ sK1_A )
& ( ( dsetconstr @ sK1_A
@ ^ [SY18: $i] : ( sK2_SY14 @ SY18 ) )
= emptyset ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ( ~ ~ ( ~ ( sK2_SY14 @ sK3_SY17 )
| ~ ( in @ sK3_SY17 @ sK1_A ) )
| ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
!= emptyset ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,dsetconstrI,emptysetE]) ).
thf(15,plain,
( ( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[11]) ).
thf(16,plain,
! [SV1: $i] :
( ( ! [SY19: $i > $o,SY20: $i] :
( ~ ( in @ SY20 @ SV1 )
| ~ ( SY19 @ SY20 )
| ( in @ SY20
@ ( dsetconstr @ SV1
@ ^ [Xy: $i] : ( SY19 @ Xy ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ ~ ( ~ ( sK2_SY14 @ sK3_SY17 )
| ~ ( in @ sK3_SY17 @ sK1_A ) )
| ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
!= emptyset ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i] :
( ( ( ~ ( in @ SV2 @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV3: $i > $o,SV1: $i] :
( ( ! [SY22: $i] :
( ~ ( in @ SY22 @ SV1 )
| ~ ( SV3 @ SY22 )
| ( in @ SY22
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ~ ( ~ ( sK2_SY14 @ sK3_SY17 )
| ~ ( in @ sK3_SY17 @ sK1_A ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
!= emptyset )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
! [SV2: $i] :
( ( ( in @ SV2 @ emptyset )
= $false )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i > $o,SV1: $i,SV4: $i] :
( ( ~ ( in @ SV4 @ SV1 )
| ~ ( SV3 @ SV4 )
| ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ( sK2_SY14 @ sK3_SY17 )
| ~ ( in @ sK3_SY17 @ sK1_A ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: $i,SV5: $o] :
( ( SV5 = $true )
| ( ( in @ SV2 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[22]) ).
thf(29,plain,
! [SV3: $i > $o,SV1: $i,SV4: $i] :
( ( ( ~ ( in @ SV4 @ SV1 ) )
= $true )
| ( ( ~ ( SV3 @ SV4 )
| ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(30,plain,
( ( ~ ( sK2_SY14 @ sK3_SY17 )
| ~ ( in @ sK3_SY17 @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(31,plain,
! [SV3: $i > $o,SV1: $i,SV4: $i] :
( ( ( in @ SV4 @ SV1 )
= $false )
| ( ( ~ ( SV3 @ SV4 )
| ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
( ( ~ ( sK2_SY14 @ sK3_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(33,plain,
( ( ~ ( in @ sK3_SY17 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(34,plain,
! [SV1: $i,SV4: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ SV4 ) )
= $true )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( sK2_SY14 @ sK3_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
( ( in @ sK3_SY17 @ sK1_A )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(37,plain,
! [SV1: $i,SV4: $i,SV3: $i > $o] :
( ( ( SV3 @ SV4 )
= $false )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SY23: $i] : ( SV3 @ SY23 ) ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV1: $i,SV4: $i] :
( ( $true = $false )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV12: $i] : $true ))]]) ).
thf(43,plain,
! [SV1: $i,SV4: $i,SV10: $i > $o] :
( ( ( ~ ( SV10 @ SV4 ) )
= $false )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV9: $i] : ~ ( SV10 @ SV9 ) ))]]) ).
thf(44,plain,
! [SV1: $i,SV4: $i] :
( ( ( SV4 = emptyset )
= $false )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV6: $i] : ( SV6 = emptyset ) ))]]) ).
thf(45,plain,
! [SV1: $i,SV4: $i] :
( ( ( SV4 = sK3_SY17 )
= $false )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV7: $i] : ( SV7 = sK3_SY17 ) ))]]) ).
thf(46,plain,
! [SV1: $i,SV4: $i] :
( ( ( SV4 = sK1_A )
= $false )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[37:[bind(SV3,$thf( ^ [SV8: $i] : ( SV8 = sK1_A ) ))]]) ).
thf(47,plain,
! [SV2: $i,SV5: $o] :
( ( SV5 = $true )
| ( ( SV5
= ( ~ ( in @ SV2 @ emptyset ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[26]) ).
thf(48,plain,
! [SV2: $i,SV5: $o] :
( ( ( ~ ( SV5
| ~ ( in @ SV2 @ emptyset ) )
| ~ ( ~ SV5
| ~ ~ ( in @ SV2 @ emptyset ) ) )
= $false )
| ( SV5 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(49,plain,
! [SV2: $i,SV5: $o] :
( ( ( SV5
= ( ~ ( in @ SV2 @ emptyset ) ) )
= $false )
| ( SV5 = $true ) ),
inference(extcnf_equal_neg,[status(thm)],[47]) ).
thf(50,plain,
! [SV2: $i,SV5: $o] :
( ( ( ~ ( SV5
| ~ ( in @ SV2 @ emptyset ) ) )
= $false )
| ( SV5 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(52,plain,
! [SV2: $i,SV5: $o] :
( ( ( SV5
| ~ ( in @ SV2 @ emptyset ) )
= $true )
| ( SV5 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV2: $i,SV5: $o] :
( ( SV5 = $true )
| ( ( ~ ( in @ SV2 @ emptyset ) )
= $true )
| ( SV5 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV5: $o,SV2: $i] :
( ( ( in @ SV2 @ emptyset )
= $false )
| ( SV5 = $true )
| ( SV5 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(60,plain,
! [SV2: $i] :
( ( ~ ( in @ SV2 @ emptyset ) )
= $true ),
inference(extuni,[status(esa)],[49:[bind(SV5,$thf( ~ ( in @ SV2 @ emptyset ) ))]]) ).
thf(61,plain,
! [SV2: $i] :
( ( in @ SV2 @ emptyset )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV1: $i,SV4: $i,SV10: $i > $o] :
( ( ( SV10 @ SV4 )
= $true )
| ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV10 @ SX0 ) ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(64,plain,
! [SV1: $i] :
( ( ( in @ emptyset @ SV1 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[44:[bind(SV4,$thf( emptyset ))]]) ).
thf(65,plain,
! [SV1: $i] :
( ( ( in @ sK3_SY17 @ SV1 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[45:[bind(SV4,$thf( sK3_SY17 ))]]) ).
thf(66,plain,
! [SV1: $i] :
( ( ( in @ sK1_A @ SV1 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[46:[bind(SV4,$thf( sK1_A ))]]) ).
thf(68,plain,
! [SV5: $o,SV2: $i] :
( ( ( in @ SV2 @ emptyset )
= $false )
| ( SV5 = $true ) ),
inference(sim,[status(thm)],[56]) ).
thf(71,plain,
! [SV1: $i,SV4: $i] :
( ( ( in @ SV4
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV4 @ SV1 )
= $false ) ),
inference(sim,[status(thm)],[41]) ).
thf(72,plain,
! [SV14: $i] :
( ( in @ SV14 @ emptyset )
= $false ),
inference(rename,[status(thm)],[61]) ).
thf(73,plain,
! [SV14: $i] :
( ( ( in @ SV14 @ emptyset )
= ( in @ sK3_SY17 @ sK1_A ) )
= $false ),
inference(res,[status(thm)],[72,36]) ).
thf(76,plain,
( ( emptyset = sK1_A )
= $false ),
inference(extuni,[status(esa)],[73:[bind(SV14,$thf( sK3_SY17 ))]]) ).
thf(83,plain,
( ( ( emptyset = sK1_A )
= ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset ) )
= $false ),
inference(res,[status(thm)],[76,25]) ).
thf(84,plain,
( ( sK1_A
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ),
inference(extuni,[status(esa)],[83]) ).
thf(85,plain,
( ( ( sK1_A = emptyset )
= $false )
| ( ( emptyset
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83]) ).
thf(86,plain,
! [SV20: $i,SV21: $i,SV22: $i > $o] :
( ( ( SV22 @ SV21 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SV22 @ SX0 ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(rename,[status(thm)],[37]) ).
thf(92,plain,
! [SV20: $i,SV21: $i,SV22: $i > $o,SV14: $i] :
( ( ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SV22 @ SX0 ) ) )
= ( in @ SV14 @ emptyset ) )
= $false )
| ( ( SV22 @ SV21 )
= $false )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(res,[status(thm)],[86,72]) ).
thf(93,plain,
! [SV20: $i,SV21: $i,SV22: $i > $o] :
( ( ( ( in @ SV21 @ SV20 )
= ( in @ sK3_SY17 @ sK1_A ) )
= $false )
| ( ( SV22 @ SV21 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SV22 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[86,36]) ).
thf(94,plain,
! [SV20: $i,SV21: $i,SV22: $i > $o] :
( ( ( ( SV22 @ SV21 )
= ( in @ sK3_SY17 @ sK1_A ) )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SV22 @ SX0 ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(res,[status(thm)],[86,36]) ).
thf(96,plain,
! [SV20: $i,SV21: $i,SV22: $i > $o] :
( ( ( ( SV22 @ SV21 )
= ( sK2_SY14 @ sK3_SY17 ) )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SV22 @ SX0 ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(res,[status(thm)],[86,35]) ).
thf(98,plain,
! [SV20: $i,SV21: $i,SV22: $i > $o] :
( ( ( ( SV22 @ SV21 )
= ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset ) )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SV22 @ SX0 ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(res,[status(thm)],[86,25]) ).
thf(99,plain,
! [SV20: $i,SV21: $i] :
( ( $true = $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(prim_subst,[status(thm)],[86:[bind(SV22,$thf( ^ [SV36: $i] : $true ))]]) ).
thf(100,plain,
! [SV20: $i,SV21: $i] :
( ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(sim,[status(thm)],[99]) ).
thf(102,plain,
! [SV20: $i,SV21: $i,SV34: $i > $o] :
( ( ( ~ ( SV34 @ SV21 ) )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
~ ( SV34 @ SX0 ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(prim_subst,[status(thm)],[86:[bind(SV22,$thf( ^ [SV33: $i] : ~ ( SV34 @ SV33 ) ))]]) ).
thf(103,plain,
! [SV20: $i,SV21: $i] :
( ( ( SV21 = sK3_SY17 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(prim_subst,[status(thm)],[86:[bind(SV22,$thf( ^ [SV30: $i] : ( SV30 = sK3_SY17 ) ))]]) ).
thf(104,plain,
! [SV20: $i,SV21: $i] :
( ( ( SV21 = sK1_A )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(prim_subst,[status(thm)],[86:[bind(SV22,$thf( ^ [SV31: $i] : ( SV31 = sK1_A ) ))]]) ).
thf(105,plain,
! [SV20: $i,SV21: $i] :
( ( ( SV21 = emptyset )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(prim_subst,[status(thm)],[86:[bind(SV22,$thf( ^ [SV32: $i] : ( SV32 = emptyset ) ))]]) ).
thf(106,plain,
! [SV20: $i,SV29: $i > $o,SV21: $i,SV28: $i > $o] :
( ( ( ( SV28 @ SV21 )
| ( SV29 @ SV21 ) )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( SV28 @ SX0 )
| ( SV29 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(prim_subst,[status(thm)],[86:[bind(SV22,$thf( ^ [SV27: $i] : ( ( SV28 @ SV27 ) | ( SV29 @ SV27 ) ) ))]]) ).
thf(108,plain,
! [SV74: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( SX0
= ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_A = emptyset )
= $false )
| ( ( sK2_SY14
@ ( SV74 @ sK1_A
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(109,plain,
! [SV74: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( emptyset
= ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV74 @ sK1_A
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( emptyset = ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(110,plain,
! [SV74: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( SX0
= ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK1_A = emptyset )
= $false )
| ( ( sK2_SY14
@ ( SV74 @ sK1_A
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(111,plain,
! [SV74: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( emptyset
= ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV74 @ sK1_A
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK5_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( emptyset = ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV74 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(112,plain,
! [SV53: $i > $i > $i,SV20: $i] :
( ( ( in @ emptyset @ SV20 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( SX0
= ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV53 @ emptyset
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( emptyset )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(113,plain,
! [SV53: $i > $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( emptyset
= ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV53 @ SV21
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( emptyset = ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(114,plain,
! [SV53: $i > $i > $i,SV20: $i] :
( ( ( in @ emptyset @ SV20 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( SX0
= ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV53 @ emptyset
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( emptyset )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(115,plain,
! [SV53: $i > $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( emptyset
= ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV53 @ SV21
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK4_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( emptyset = ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV53 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(116,plain,
! [SV44: $i > $i > $o,SV43: $i > $i,SV20: $i] :
( ( ( in @ emptyset @ SV20 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( SX0
= ( dsetconstr @ ( SV43 @ SX0 ) @ ( SV44 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV43 @ emptyset ) @ ( SV44 @ emptyset ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( emptyset )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = ( dsetconstr @ ( SV43 @ SX0 ) @ ( SV44 @ SX0 ) ) ) ))]]) ).
thf(117,plain,
! [SV44: $i > $i > $o,SV43: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( emptyset
= ( dsetconstr @ ( SV43 @ SX0 ) @ ( SV44 @ SX0 ) ) ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV43 @ SV21 ) @ ( SV44 @ SV21 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( emptyset = ( dsetconstr @ ( SV43 @ SX0 ) @ ( SV44 @ SX0 ) ) ) ))]]) ).
thf(118,plain,
! [SV20: $i] :
( ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ SV20 )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= $true )
| ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).
thf(119,plain,
! [SV20: $i] :
( ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ SV20 )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( emptyset = SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )),bind(SV22,$thf( ^ [SX0: $i] : ( emptyset = SX0 ) ))]]) ).
thf(120,plain,
! [SV127: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) )
= SX0 ) ) )
= $true )
| ( ( sK1_A = emptyset )
= $false )
| ( ( sK2_SY14
@ ( SV127 @ sK1_A
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) = SX0 ) ))]]) ).
thf(121,plain,
! [SV127: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) )
= emptyset ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV127 @ sK1_A
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) = emptyset ) ))]]) ).
thf(122,plain,
! [SV127: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) )
= SX0 ) ) )
= $true )
| ( ( sK1_A = emptyset )
= $false )
| ( ( sK2_SY14
@ ( SV127 @ sK1_A
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : SX0
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) = SX0 ) ))]]) ).
thf(123,plain,
! [SV127: $i > $i > $i,SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ SX0
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) )
= emptyset ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV127 @ sK1_A
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK7_E @ SV20
@ ^ [SX0: $i] : emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ SX0 @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV127 @ SX0 @ SX1 ) ) ) = emptyset ) ))]]) ).
thf(124,plain,
! [SV106: $i > $i > $i,SV20: $i] :
( ( ( in @ emptyset @ SV20 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) )
= SX0 ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV106 @ emptyset
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( emptyset )),bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) = SX0 ) ))]]) ).
thf(125,plain,
! [SV106: $i > $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) )
= emptyset ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV106 @ SV21
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) ) )
= $true )
| ( ( sK2_SY14
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) = emptyset ) ))]]) ).
thf(126,plain,
! [SV106: $i > $i > $i,SV20: $i] :
( ( ( in @ emptyset @ SV20 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) )
= SX0 ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV106 @ emptyset
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : SX0
@ emptyset
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( emptyset )),bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) = SX0 ) ))]]) ).
thf(127,plain,
! [SV106: $i > $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ sK1_A
@ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) )
= emptyset ) ) )
= $true )
| ( ( sK2_SY14
@ ( SV106 @ SV21
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) ) )
= $false )
| ( ( sK2_SY14
@ ( sK6_E @ SV20
@ ^ [SX0: $i] : emptyset
@ SV21
@ ^ [SX0: $i,SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ sK1_A @ ^ [SX1: $i] : ( sK2_SY14 @ ( SV106 @ SX0 @ SX1 ) ) ) = emptyset ) ))]]) ).
thf(128,plain,
! [SV97: $i > $i > $o,SV96: $i > $i,SV20: $i] :
( ( ( in @ emptyset @ SV20 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ ( SV96 @ SX0 ) @ ( SV97 @ SX0 ) )
= SX0 ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV96 @ emptyset ) @ ( SV97 @ emptyset ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( emptyset )),bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ ( SV96 @ SX0 ) @ ( SV97 @ SX0 ) ) = SX0 ) ))]]) ).
thf(129,plain,
! [SV97: $i > $i > $o,SV96: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( dsetconstr @ ( SV96 @ SX0 ) @ ( SV97 @ SX0 ) )
= emptyset ) ) )
= $true )
| ( ( ( dsetconstr @ ( SV96 @ SV21 ) @ ( SV97 @ SV21 ) )
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( ( dsetconstr @ ( SV96 @ SX0 ) @ ( SV97 @ SX0 ) ) = emptyset ) ))]]) ).
thf(130,plain,
! [SV20: $i] :
( ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ SV20 )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = SX0 ) ) )
= $true )
| ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = SX0 ) ))]]) ).
thf(131,plain,
! [SV20: $i] :
( ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ SV20 )
= $false )
| ( ( in
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV21,$thf( dsetconstr @ sK1_A @ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )),bind(SV22,$thf( ^ [SX0: $i] : ( SX0 = emptyset ) ))]]) ).
thf(132,plain,
! [SV40: $i > $i,SV39: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( SV39 @ SX0 )
= ( SV40 @ SX0 ) ) ) )
= $true )
| ( ( ( SV39 @ SV21 )
= ( SV40 @ SV21 ) )
= $true )
| ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset )
= $true ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( ( SV39 @ SX0 ) = ( SV40 @ SX0 ) ) ))]]) ).
thf(133,plain,
! [SV40: $i > $i,SV39: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( SV39 @ SX0 )
= ( SV40 @ SX0 ) ) ) )
= $true )
| ( ( ( SV39 @ SV21 )
= ( SV40 @ SV21 ) )
= $false )
| ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset )
= $false ) ),
inference(extuni,[status(esa)],[98:[bind(SV22,$thf( ^ [SX0: $i] : ( ( SV39 @ SX0 ) = ( SV40 @ SX0 ) ) ))]]) ).
thf(134,plain,
! [SV20: $i] :
( ( ( in @ sK3_SY17 @ SV20 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV21,$thf( sK3_SY17 )),bind(SV22,$thf( ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ))]]) ).
thf(135,plain,
! [SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( sK2_SY14 @ sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV22,$thf( ^ [SX0: $i] : ( sK2_SY14 @ sK3_SY17 ) ))]]) ).
thf(136,plain,
! [SV149: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( sK2_SY14 @ ( SV149 @ SX0 ) ) ) )
= $true )
| ( ( sK2_SY14 @ ( SV149 @ SV21 ) )
= $true )
| ( ( sK2_SY14 @ sK3_SY17 )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV22,$thf( ^ [SX0: $i] : ( sK2_SY14 @ ( SV149 @ SX0 ) ) ))]]) ).
thf(137,plain,
! [SV149: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( sK2_SY14 @ ( SV149 @ SX0 ) ) ) )
= $true )
| ( ( sK2_SY14 @ ( SV149 @ SV21 ) )
= $false )
| ( ( sK2_SY14 @ sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[96:[bind(SV22,$thf( ^ [SX0: $i] : ( sK2_SY14 @ ( SV149 @ SX0 ) ) ))]]) ).
thf(138,plain,
! [SV20: $i] :
( ( ( in @ sK3_SY17 @ SV20 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ) )
= $true )
| ( ( sK3_SY17 = sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[94:[bind(SV21,$thf( sK3_SY17 )),bind(SV22,$thf( ^ [SX0: $i] : ( in @ SX0 @ SX0 ) ))]]) ).
thf(139,plain,
! [SV20: $i] :
( ( ( in @ sK3_SY17 @ SV20 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( in @ SX0 @ sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[94:[bind(SV21,$thf( sK3_SY17 )),bind(SV22,$thf( ^ [SX0: $i] : ( in @ SX0 @ sK1_A ) ))]]) ).
thf(140,plain,
! [SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[94:[bind(SV21,$thf( sK1_A )),bind(SV22,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ SX0 ) ))]]) ).
thf(141,plain,
! [SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( in @ sK3_SY17 @ sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[94:[bind(SV22,$thf( ^ [SX0: $i] : ( in @ sK3_SY17 @ sK1_A ) ))]]) ).
thf(142,plain,
! [SV155: $i > $i,SV154: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( in @ ( SV154 @ SX0 ) @ ( SV155 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV154 @ SV21 ) @ ( SV155 @ SV21 ) )
= $true )
| ( ( in @ sK3_SY17 @ sK1_A )
= $true ) ),
inference(extuni,[status(esa)],[94:[bind(SV22,$thf( ^ [SX0: $i] : ( in @ ( SV154 @ SX0 ) @ ( SV155 @ SX0 ) ) ))]]) ).
thf(143,plain,
! [SV155: $i > $i,SV154: $i > $i,SV20: $i,SV21: $i] :
( ( ( in @ SV21 @ SV20 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( in @ ( SV154 @ SX0 ) @ ( SV155 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV154 @ SV21 ) @ ( SV155 @ SV21 ) )
= $false )
| ( ( in @ sK3_SY17 @ sK1_A )
= $false ) ),
inference(extuni,[status(esa)],[94:[bind(SV22,$thf( ^ [SX0: $i] : ( in @ ( SV154 @ SX0 ) @ ( SV155 @ SX0 ) ) ))]]) ).
thf(144,plain,
! [SV22: $i > $o] :
( ( ( in @ sK3_SY17
@ ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( SV22 @ SX0 ) ) )
= $true )
| ( ( SV22 @ sK3_SY17 )
= $false ) ),
inference(extuni,[status(esa)],[93:[bind(SV20,$thf( sK1_A )),bind(SV21,$thf( sK3_SY17 ))]]) ).
thf(145,plain,
! [SV22: $i > $o,SV20: $i,SV14: $i] :
( ( ( in @ SV14 @ SV20 )
= $false )
| ( ( SV22 @ SV14 )
= $false )
| ( ( ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SV22 @ SX0 ) )
= emptyset )
= $false ) ),
inference(extuni,[status(esa)],[92:[bind(SV21,$thf( SV14 ))]]) ).
thf(148,plain,
! [SV20: $i] :
( ( ( in @ sK3_SY17 @ SV20 )
= $false )
| ( ( in @ sK3_SY17
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = sK3_SY17 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[103:[bind(SV21,$thf( sK3_SY17 ))]]) ).
thf(149,plain,
! [SV20: $i] :
( ( ( in @ sK1_A @ SV20 )
= $false )
| ( ( in @ sK1_A
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = sK1_A ) ) )
= $true ) ),
inference(extuni,[status(esa)],[104:[bind(SV21,$thf( sK1_A ))]]) ).
thf(150,plain,
! [SV20: $i] :
( ( ( in @ emptyset @ SV20 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[105:[bind(SV21,$thf( emptyset ))]]) ).
thf(151,plain,
! [SV20: $i,SV21: $i,SV34: $i > $o] :
( ( ( SV34 @ SV21 )
= $true )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
~ ( SV34 @ SX0 ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(152,plain,
! [SV29: $i > $o,SV20: $i,SV21: $i,SV28: $i > $o] :
( ( ( SV28 @ SV21 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( SV28 @ SX0 )
| ( SV29 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(153,plain,
! [SV28: $i > $o,SV20: $i,SV21: $i,SV29: $i > $o] :
( ( ( SV29 @ SV21 )
= $false )
| ( ( in @ SV21
@ ( dsetconstr @ SV20
@ ^ [SX0: $i] :
( ( SV28 @ SX0 )
| ( SV29 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV21 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[106]) ).
thf(157,plain,
( ( ( sK1_A
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset ) )
= $false ),
inference(res,[status(thm)],[84,25]) ).
thf(158,plain,
( ( sK1_A = emptyset )
= $false ),
inference(extuni,[status(esa)],[157]) ).
thf(159,plain,
( ( ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset )
= $false )
| ( ( sK1_A
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[157]) ).
thf(163,plain,
( ( ( sK1_A = emptyset )
= ( ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) )
= emptyset ) )
= $false ),
inference(res,[status(thm)],[158,25]) ).
thf(164,plain,
( ( ( sK1_A = emptyset )
= $false )
| ( ( emptyset
= ( dsetconstr @ sK1_A
@ ^ [SX0: $i] : ( sK2_SY14 @ SX0 ) ) )
= $false ) ),
inference(extuni,[status(esa)],[163]) ).
thf(167,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,164,159,158,153,152,151,150,149,148,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,100,86,85,84,76,72,71,68,66,65,64,63,36,35]) ).
thf(168,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU534^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.20 % Computer : n005.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Oct 6 15:27:30 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/0.53
% 1.37/0.53 No.of.Axioms: 0
% 1.37/0.53
% 1.37/0.53 Length.of.Defs: 394
% 1.37/0.53
% 1.37/0.53 Contains.Choice.Funs: false
% 1.37/0.53 ....
% 1.37/0.53
% 1.37/0.53 ********************************
% 1.37/0.53 * All subproblems solved! *
% 1.37/0.53 ********************************
% 1.37/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:167,loop_count:15,foatp_calls:5,translation:fof_full)
% 1.37/0.53
% 1.37/0.53 %**** Beginning of derivation protocol ****
% 1.37/0.53 % SZS output start CNFRefutation
% See solution above
% 1.37/0.53
% 1.37/0.53 %**** End of derivation protocol ****
% 1.37/0.53 %**** no. of clauses in derivation: 125 ****
% 1.37/0.53 %**** clause counter: 167 ****
% 1.37/0.53
% 1.37/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:167,loop_count:15,foatp_calls:5,translation:fof_full)
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