%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU540^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 10:44:54 AM UTC 2026
% Result : Theorem 271.07s 45.44s
% Output : CNFRefutation 271.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 142 ( 38 unt; 0 typ; 3 def)
% Number of atoms : 1125 ( 411 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 1691 ( 64 ~; 221 |; 4 &;1379 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 73 ( 73 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 457 ( 123 ^; 334 !; 0 ?; 457 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dsetconstr,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(tp_dsetconstrI,type,
dsetconstrI: $o ).
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_powerset,type,
powerset: $i > $i ).
thf(tp_powersetI,type,
powersetI: $o ).
thf(tp_prop2set,type,
prop2set: $o > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $o ).
thf(tp_sK2_Xx,type,
sK2_Xx: $i > $i > $i ).
thf(tp_sK3_E,type,
sK3_E: ( $i > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: $i ).
thf(tp_sK5_E,type,
sK5_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/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
thf(powersetI,definition,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI) ).
thf(prop2set,definition,
( prop2set
= ( ^ [Xphi: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Xx: $i] : Xphi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2set) ).
thf(1,conjecture,
( dsetconstrI
=> ( powersetI
=> ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop2setI) ).
thf(2,negated_conjecture,
( ( dsetconstrI
=> ( powersetI
=> ! [Xphi: $o] :
( Xphi
=> ( in @ emptyset @ ( prop2set @ Xphi ) ) ) ) )
= $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 ) ) ) ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) )
=> ! [SY0: $o] :
( SY0
=> ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SY1: $i] : SY0 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,dsetconstrI,powersetI,prop2set]) ).
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,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [SY0: $o] :
( SY0
=> ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SY1: $i] : SY0 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [SY0: $o] :
( SY0
=> ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SY1: $i] : SY0 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( sK1_SY0
& ~ ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SY11: $i] : sK1_SY0 ) ) )
= $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,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK2_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK2_Xx @ B @ A ) @ A ) )
| ( in @ B @ ( powerset @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK2_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK2_Xx @ B @ A ) @ A ) )
| ( in @ B @ ( powerset @ A ) ) ) )
= $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,
( ( sK1_SY0
& ~ ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SY11: $i] : sK1_SY0 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ( ~ sK1_SY0
| ~ ~ ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,dsetconstrI,powersetI,prop2set]) ).
thf(15,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK2_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK2_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( in @ SX1 @ ( powerset @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,dsetconstrI,powersetI,prop2set]) ).
thf(16,plain,
! [SV1: $i] :
( ( ! [SY12: $i > $o,SY13: $i] :
( ~ ( in @ SY13 @ SV1 )
| ~ ( SY12 @ SY13 )
| ( in @ SY13
@ ( dsetconstr @ SV1
@ ^ [Xy: $i] : ( SY12 @ Xy ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
( ( ~ sK1_SY0
| ~ ~ ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i] :
( ( ! [SY15: $i] :
( ~ ( ~ ( in @ ( sK2_Xx @ SY15 @ SV2 ) @ SY15 )
| ~ ~ ( in @ ( sK2_Xx @ SY15 @ SV2 ) @ SV2 ) )
| ( in @ SY15 @ ( powerset @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV3: $i > $o,SV1: $i] :
( ( ! [SY16: $i] :
( ~ ( in @ SY16 @ SV1 )
| ~ ( SV3 @ SY16 )
| ( in @ SY16
@ ( dsetconstr @ SV1
@ ^ [SY17: $i] : ( SV3 @ SY17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ sK1_SY0 ) = $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
! [SV2: $i,SV4: $i] :
( ( ~ ( ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
| ~ ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV2 ) )
| ( in @ SV4 @ ( powerset @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ~ ( in @ SV5 @ SV1 )
| ~ ( SV3 @ SV5 )
| ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY17: $i] : ( SV3 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
sK1_SY0 = $true,
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
| ~ ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV2 ) ) )
= $true )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( ~ ( in @ SV5 @ SV1 ) )
= $true )
| ( ( ~ ( SV3 @ SV5 )
| ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY17: $i] : ( SV3 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
| ~ ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV2 ) )
= $false )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV3: $i > $o,SV1: $i,SV5: $i] :
( ( ( in @ SV5 @ SV1 )
= $false )
| ( ( ~ ( SV3 @ SV5 )
| ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY17: $i] : ( SV3 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 ) )
= $false )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(32,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV2 ) )
= $false )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( ~ ( SV3 @ SV5 ) )
= $true )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY17: $i] : ( SV3 @ SY17 ) ) )
= $true )
| ( ( in @ SV5 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV2: $i,SV4: $i] :
( ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
= $true )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV2 ) )
= $true )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: $i,SV5: $i,SV3: $i > $o] :
( ( ( SV3 @ SV5 )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SY17: $i] : ( SV3 @ SY17 ) ) )
= $true )
| ( ( in @ SV5 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV2: $i,SV4: $i] :
( ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV2 )
= $false )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV1: $i,SV5: $i] :
( ( $true = $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV5 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV3,$thf( ^ [SV10: $i] : $true ))]]) ).
thf(40,plain,
! [SV1: $i,SV5: $i,SV8: $i > $o] :
( ( ( ~ ( SV8 @ SV5 ) )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true )
| ( ( in @ SV5 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV3,$thf( ^ [SV7: $i] : ~ ( SV8 @ SV7 ) ))]]) ).
thf(41,plain,
! [SV1: $i,SV5: $i] :
( ( ( SV5 = emptyset )
= $false )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ SV5 @ SV1 )
= $false ) ),
inference(prim_subst,[status(thm)],[36:[bind(SV3,$thf( ^ [SV6: $i] : ( SV6 = emptyset ) ))]]) ).
thf(42,plain,
! [SV2: $i,SV4: $i] :
( ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true )
| ( ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
= ( in @ SV4 @ ( powerset @ SV2 ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[34]) ).
thf(43,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
| ( in @ SV4 @ ( powerset @ SV2 ) ) )
| ~ ( ~ ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
| ~ ( in @ SV4 @ ( powerset @ SV2 ) ) ) )
= $false )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[42]) ).
thf(45,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
| ( in @ SV4 @ ( powerset @ SV2 ) ) ) )
= $false )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
! [SV2: $i,SV4: $i] :
( ( ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
| ( in @ SV4 @ ( powerset @ SV2 ) ) )
= $true )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(49,plain,
! [SV2: $i,SV4: $i] :
( ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
= $true )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(53,plain,
! [SV1: $i,SV5: $i,SV8: $i > $o] :
( ( ( SV8 @ SV5 )
= $true )
| ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] :
~ ( SV8 @ SX0 ) ) )
= $true )
| ( ( in @ SV5 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(54,plain,
! [SV1: $i] :
( ( ( in @ emptyset @ SV1 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[41:[bind(SV5,$thf( emptyset ))]]) ).
thf(55,plain,
! [SV2: $i,SV4: $i] :
( ( ( in @ ( sK2_Xx @ SV4 @ SV2 ) @ SV4 )
= $true )
| ( ( in @ SV4 @ ( powerset @ SV2 ) )
= $true ) ),
inference(sim,[status(thm)],[49]) ).
thf(56,plain,
! [SV1: $i,SV5: $i] :
( ( ( in @ SV5
@ ( dsetconstr @ SV1
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV5 @ SV1 )
= $false ) ),
inference(sim,[status(thm)],[38]) ).
thf(58,plain,
! [SV11: $i,SV12: $i] :
( ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true ) ),
inference(rename,[status(thm)],[34]) ).
thf(59,plain,
! [SV11: $i,SV12: $i] :
( ( ( ( in @ SV12 @ ( powerset @ SV11 ) )
= ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true ) ),
inference(res,[status(thm)],[58,28]) ).
thf(60,plain,
! [SV11: $i,SV12: $i] :
( ( ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true ) ),
inference(res,[status(thm)],[58,28]) ).
thf(62,plain,
! [SV11: $i] :
( ( ( in
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 )
@ ( powerset @ SV11 ) )
= $true )
| ( ( ( sK2_Xx
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 )
@ SV11 )
= emptyset )
= $false ) ),
inference(extuni,[status(esa)],[60:[bind(SV12,$thf( dsetconstr @ ( powerset @ emptyset ) @ ^ [SX0: $i] : sK1_SY0 ))]]) ).
thf(63,plain,
! [SV11: $i] :
( ( ( in @ ( sK2_Xx @ emptyset @ SV11 ) @ emptyset )
= $true )
| ( ( ( powerset @ SV11 )
= ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[59:[bind(SV12,$thf( emptyset ))]]) ).
thf(64,plain,
! [SV13: $i,SV14: $i] :
( ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $true ) ),
inference(rename,[status(thm)],[37]) ).
thf(67,plain,
! [SV13: $i,SV14: $i,SV11: $i,SV12: $i] :
( ( ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= ( in @ SV12 @ ( powerset @ SV11 ) ) )
= $false )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $true )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true ) ),
inference(res,[status(thm)],[64,58]) ).
thf(68,plain,
! [SV13: $i,SV14: $i,SV11: $i,SV12: $i] :
( ( ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 ) )
= $false )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $true )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true ) ),
inference(res,[status(thm)],[64,58]) ).
thf(69,plain,
! [SV13: $i,SV14: $i] :
( ( ( ( in @ SV14 @ ( powerset @ SV13 ) )
= ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false )
| ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false ) ),
inference(res,[status(thm)],[64,28]) ).
thf(71,plain,
! [SV13: $i] :
( ( ( in @ ( sK2_Xx @ emptyset @ SV13 ) @ SV13 )
= $false )
| ( ( ( powerset @ SV13 )
= ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[69:[bind(SV14,$thf( emptyset ))]]) ).
thf(72,plain,
! [SV12: $i] :
( ( ( in @ SV12 @ ( powerset @ SV12 ) )
= $true )
| ( ( in @ SV12 @ ( powerset @ SV12 ) )
= $true ) ),
inference(extuni,[status(esa)],[68:[bind(SV11,$thf( SV12 )),bind(SV13,$thf( SV12 )),bind(SV14,$thf( SV12 ))]]) ).
thf(73,plain,
! [SV14: $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true )
| ( ( in @ SV14 @ ( powerset @ SV12 ) )
= $true )
| ( ( ( sK2_Xx @ SV14 @ SV12 )
= ( sK2_Xx @ SV12 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[68:[bind(SV13,$thf( SV12 ))]]) ).
thf(74,plain,
! [SV11: $i,SV14: $i] :
( ( ( in @ ( sK2_Xx @ ( sK2_Xx @ SV14 @ ( powerset @ SV11 ) ) @ SV11 ) @ ( sK2_Xx @ SV14 @ ( powerset @ SV11 ) ) )
= $true )
| ( ( in @ SV14 @ ( powerset @ ( powerset @ SV11 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[67:[bind(SV13,$thf( powerset @ SV11 )),bind(SV12,$thf( sK2_Xx @ SV14 @ ( powerset @ SV11 ) ))]]) ).
thf(75,plain,
! [SV12: $i] :
( ( in @ SV12 @ ( powerset @ SV12 ) )
= $true ),
inference(sim,[status(thm)],[72]) ).
thf(76,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o] :
( ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(rename,[status(thm)],[36]) ).
thf(81,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o,SV13: $i,SV14: $i] :
( ( ( ( in @ SV16 @ SV15 )
= ( in @ SV14 @ ( powerset @ SV13 ) ) )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false ) ),
inference(res,[status(thm)],[76,64]) ).
thf(82,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o,SV13: $i,SV14: $i] :
( ( ( ( SV17 @ SV16 )
= ( in @ SV14 @ ( powerset @ SV13 ) ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false ) ),
inference(res,[status(thm)],[76,64]) ).
thf(83,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o,SV13: $i,SV14: $i] :
( ( ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 ) )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $true ) ),
inference(res,[status(thm)],[76,64]) ).
thf(84,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o,SV11: $i,SV12: $i] :
( ( ( ( in @ SV16 @ SV15 )
= ( in @ SV12 @ ( powerset @ SV11 ) ) )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true ) ),
inference(res,[status(thm)],[76,58]) ).
thf(85,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o,SV11: $i,SV12: $i] :
( ( ( ( SV17 @ SV16 )
= ( in @ SV12 @ ( powerset @ SV11 ) ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true ) ),
inference(res,[status(thm)],[76,58]) ).
thf(86,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o,SV11: $i,SV12: $i] :
( ( ( ( in @ SV16 @ SV15 )
= ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 ) )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true ) ),
inference(res,[status(thm)],[76,58]) ).
thf(87,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o,SV11: $i,SV12: $i] :
( ( ( ( SV17 @ SV16 )
= ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true ) ),
inference(res,[status(thm)],[76,58]) ).
thf(88,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o] :
( ( ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(res,[status(thm)],[76,28]) ).
thf(90,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o] :
( ( ( ( SV17 @ SV16 )
= sK1_SY0 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(res,[status(thm)],[76,24]) ).
thf(91,plain,
! [SV15: $i,SV16: $i] :
( ( $true = $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(prim_subst,[status(thm)],[76:[bind(SV17,$thf( ^ [SV29: $i] : $true ))]]) ).
thf(92,plain,
! [SV15: $i,SV16: $i] :
( ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : $true ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(sim,[status(thm)],[91]) ).
thf(94,plain,
! [SV15: $i,SV16: $i,SV27: $i > $o] :
( ( ( ~ ( SV27 @ SV16 ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( SV27 @ SX0 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(prim_subst,[status(thm)],[76:[bind(SV17,$thf( ^ [SV26: $i] : ~ ( SV27 @ SV26 ) ))]]) ).
thf(95,plain,
! [SV15: $i,SV16: $i] :
( ( ( SV16 = emptyset )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(prim_subst,[status(thm)],[76:[bind(SV17,$thf( ^ [SV25: $i] : ( SV25 = emptyset ) ))]]) ).
thf(96,plain,
! [SV15: $i,SV24: $i > $o,SV16: $i,SV23: $i > $o] :
( ( ( ( SV23 @ SV16 )
| ( SV24 @ SV16 ) )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
( ( SV23 @ SX0 )
| ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(prim_subst,[status(thm)],[76:[bind(SV17,$thf( ^ [SV22: $i] : ( ( SV23 @ SV22 ) | ( SV24 @ SV22 ) ) ))]]) ).
thf(98,plain,
! [SV15: $i,SV16: $i] :
( ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : sK1_SY0 ) )
= $true ) ),
inference(extuni,[status(esa)],[90:[bind(SV17,$thf( ^ [SX0: $i] : sK1_SY0 ))]]) ).
thf(99,plain,
( ( ( in @ emptyset @ ( powerset @ emptyset ) )
= $false )
| ( sK1_SY0 = $false ) ),
inference(extuni,[status(esa)],[88:[bind(SV17,$thf( ^ [SX0: $i] : sK1_SY0 )),bind(SV15,$thf( powerset @ emptyset )),bind(SV16,$thf( emptyset ))]]) ).
thf(100,plain,
! [SV17: $i > $o,SV15: $i] :
( ( ( in @ emptyset @ SV15 )
= $false )
| ( ( SV17 @ emptyset )
= $false )
| ( ( ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) )
= ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[88:[bind(SV16,$thf( emptyset ))]]) ).
thf(101,plain,
! [SV15: $i,SV41: $i > $i,SV40: $i > $i,SV16: $i,SV37: $i > $i] :
( ( ( in @ ( SV40 @ SV16 ) @ ( powerset @ ( SV41 @ SV16 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( sK2_Xx @ ( SV40 @ SX0 ) @ ( SV41 @ SX0 ) ) @ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( ( SV37 @ SV16 )
= ( SV40 @ SV16 ) )
= $false ) ),
inference(extuni,[status(esa)],[87:[bind(SV11,$thf( SV41 @ SV16 )),bind(SV12,$thf( SV40 @ SV16 )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( sK2_Xx @ ( SV40 @ SX0 ) @ ( SV41 @ SX0 ) ) @ ( SV37 @ SX0 ) ) ))]]) ).
thf(102,plain,
! [SV41: $i > $i,SV40: $i > $i,SV15: $i,SV11: $i,SV16: $i,SV37: $i > $i] :
( ( ( in @ ( SV37 @ SV16 ) @ ( powerset @ SV11 ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( sK2_Xx @ ( SV40 @ SX0 ) @ ( SV41 @ SX0 ) ) @ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( ( sK2_Xx @ ( SV40 @ SV16 ) @ ( SV41 @ SV16 ) )
= ( sK2_Xx @ ( SV37 @ SV16 ) @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[87:[bind(SV12,$thf( SV37 @ SV16 )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( sK2_Xx @ ( SV40 @ SX0 ) @ ( SV41 @ SX0 ) ) @ ( SV37 @ SX0 ) ) ))]]) ).
thf(103,plain,
! [SV37: $i > $i,SV36: $i > $i,SV15: $i,SV16: $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV36 @ SX0 ) @ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV36 @ SV16 ) @ ( SV37 @ SV16 ) )
= $true )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true ) ),
inference(extuni,[status(esa)],[87:[bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV36 @ SX0 ) @ ( SV37 @ SX0 ) ) ))]]) ).
thf(104,plain,
! [SV37: $i > $i,SV36: $i > $i,SV15: $i,SV16: $i,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV36 @ SX0 ) @ ( SV37 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV36 @ SV16 ) @ ( SV37 @ SV16 ) )
= $false )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $false ) ),
inference(extuni,[status(esa)],[87:[bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV36 @ SX0 ) @ ( SV37 @ SX0 ) ) ))]]) ).
thf(105,plain,
! [SV17: $i > $o,SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 )
@ ( dsetconstr @ SV12
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( SV17 @ ( sK2_Xx @ SV12 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[86:[bind(SV15,$thf( SV12 )),bind(SV16,$thf( sK2_Xx @ SV12 @ SV11 ))]]) ).
thf(106,plain,
! [SV15: $i,SV48: $i > $i,SV16: $i,SV44: $i > $i] :
( ( ( in @ ( sK2_Xx @ ( SV44 @ SV16 ) @ ( SV48 @ SV16 ) ) @ ( SV44 @ SV16 ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( powerset @ ( SV48 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[85:[bind(SV11,$thf( SV48 @ SV16 )),bind(SV12,$thf( SV44 @ SV16 )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( powerset @ ( SV48 @ SX0 ) ) ) ))]]) ).
thf(107,plain,
! [SV48: $i > $i,SV15: $i,SV11: $i,SV16: $i,SV44: $i > $i] :
( ( ( in @ ( sK2_Xx @ ( SV44 @ SV16 ) @ SV11 ) @ ( SV44 @ SV16 ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( powerset @ ( SV48 @ SX0 ) ) ) ) )
= $true )
| ( ( ( powerset @ ( SV48 @ SV16 ) )
= ( powerset @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV12,$thf( SV44 @ SV16 )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( powerset @ ( SV48 @ SX0 ) ) ) ))]]) ).
thf(108,plain,
! [SV15: $i,SV11: $i,SV44: $i > $i] :
( ( ( in @ ( sK2_Xx @ ( SV44 @ ( powerset @ SV11 ) ) @ SV11 ) @ ( SV44 @ ( powerset @ SV11 ) ) )
= $true )
| ( ( in @ ( powerset @ SV11 ) @ SV15 )
= $false )
| ( ( in @ ( powerset @ SV11 )
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[85:[bind(SV16,$thf( powerset @ SV11 )),bind(SV12,$thf( SV44 @ ( powerset @ SV11 ) )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ SX0 ) ))]]) ).
thf(109,plain,
! [SV45: $i > $i,SV44: $i > $i,SV15: $i,SV16: $i,SV11: $i,SV12: $i] :
( ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV44 @ SV16 ) @ ( SV45 @ SV16 ) )
= $true )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true ) ),
inference(extuni,[status(esa)],[85:[bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ))]]) ).
thf(110,plain,
! [SV45: $i > $i,SV44: $i > $i,SV15: $i,SV16: $i,SV11: $i,SV12: $i] :
( ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV44 @ SV16 ) @ ( SV45 @ SV16 ) )
= $false )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[85:[bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV44 @ SX0 ) @ ( SV45 @ SX0 ) ) ))]]) ).
thf(111,plain,
! [SV17: $i > $o,SV11: $i,SV12: $i] :
( ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true )
| ( ( in @ SV12
@ ( dsetconstr @ ( powerset @ SV11 )
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( SV17 @ SV12 )
= $false ) ),
inference(extuni,[status(esa)],[84:[bind(SV15,$thf( powerset @ SV11 )),bind(SV16,$thf( SV12 ))]]) ).
thf(112,plain,
! [SV17: $i > $o,SV15: $i,SV14: $i] :
( ( ( in @ SV14
@ ( powerset
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) ) )
= $true )
| ( ( in
@ ( sK2_Xx @ SV14
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
@ SV15 )
= $false )
| ( ( SV17
@ ( sK2_Xx @ SV14
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[83:[bind(SV13,$thf( dsetconstr @ SV15 @ ^ [SX0: $i] : ( SV17 @ SX0 ) )),bind(SV16,$thf( sK2_Xx @ SV14 @ ( dsetconstr @ SV15 @ ^ [SX0: $i] : ( SV17 @ SX0 ) ) ))]]) ).
thf(113,plain,
! [SV15: $i,SV55: $i > $i,SV16: $i,SV51: $i > $i] :
( ( ( in @ ( sK2_Xx @ ( SV51 @ SV16 ) @ ( SV55 @ SV16 ) ) @ ( SV55 @ SV16 ) )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( powerset @ ( SV55 @ SX0 ) ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[82:[bind(SV13,$thf( SV55 @ SV16 )),bind(SV14,$thf( SV51 @ SV16 )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( powerset @ ( SV55 @ SX0 ) ) ) ))]]) ).
thf(114,plain,
! [SV55: $i > $i,SV15: $i,SV13: $i,SV16: $i,SV51: $i > $i] :
( ( ( in @ ( sK2_Xx @ ( SV51 @ SV16 ) @ SV13 ) @ SV13 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( powerset @ ( SV55 @ SX0 ) ) ) ) )
= $true )
| ( ( ( powerset @ ( SV55 @ SV16 ) )
= ( powerset @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV14,$thf( SV51 @ SV16 )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( powerset @ ( SV55 @ SX0 ) ) ) ))]]) ).
thf(115,plain,
! [SV15: $i,SV13: $i,SV51: $i > $i] :
( ( ( in @ ( sK2_Xx @ ( SV51 @ ( powerset @ SV13 ) ) @ SV13 ) @ SV13 )
= $false )
| ( ( in @ ( powerset @ SV13 ) @ SV15 )
= $false )
| ( ( in @ ( powerset @ SV13 )
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ SX0 ) ) )
= $true ) ),
inference(extuni,[status(esa)],[82:[bind(SV16,$thf( powerset @ SV13 )),bind(SV14,$thf( SV51 @ ( powerset @ SV13 ) )),bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ SX0 ) ))]]) ).
thf(116,plain,
! [SV52: $i > $i,SV51: $i > $i,SV15: $i,SV16: $i,SV13: $i,SV14: $i] :
( ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( SV52 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV51 @ SV16 ) @ ( SV52 @ SV16 ) )
= $true )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $true ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( SV52 @ SX0 ) ) ))]]) ).
thf(117,plain,
! [SV52: $i > $i,SV51: $i > $i,SV15: $i,SV16: $i,SV13: $i,SV14: $i] :
( ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( SV52 @ SX0 ) ) ) )
= $true )
| ( ( in @ ( SV51 @ SV16 ) @ ( SV52 @ SV16 ) )
= $false )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $false ) ),
inference(extuni,[status(esa)],[82:[bind(SV17,$thf( ^ [SX0: $i] : ( in @ ( SV51 @ SX0 ) @ ( SV52 @ SX0 ) ) ))]]) ).
thf(118,plain,
! [SV17: $i > $o,SV13: $i,SV14: $i] :
( ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false )
| ( ( in @ SV14
@ ( dsetconstr @ ( powerset @ SV13 )
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( SV17 @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[81:[bind(SV15,$thf( powerset @ SV13 )),bind(SV16,$thf( SV14 ))]]) ).
thf(121,plain,
! [SV15: $i] :
( ( ( in @ emptyset @ SV15 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[95:[bind(SV16,$thf( emptyset ))]]) ).
thf(122,plain,
! [SV15: $i,SV16: $i,SV27: $i > $o] :
( ( ( SV27 @ SV16 )
= $true )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
~ ( SV27 @ SX0 ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(123,plain,
! [SV24: $i > $o,SV15: $i,SV16: $i,SV23: $i > $o] :
( ( ( SV23 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
( ( SV23 @ SX0 )
| ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(124,plain,
! [SV23: $i > $o,SV15: $i,SV16: $i,SV24: $i > $o] :
( ( ( SV24 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] :
( ( SV23 @ SX0 )
| ( SV24 @ SX0 ) ) ) )
= $true )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(125,plain,
! [SV60: $i] :
( ( in @ SV60 @ ( powerset @ SV60 ) )
= $true ),
inference(rename,[status(thm)],[75]) ).
thf(126,plain,
! [SV60: $i,SV15: $i,SV16: $i,SV17: $i > $o] :
( ( ( ( in @ SV60 @ ( powerset @ SV60 ) )
= ( in @ SV16 @ SV15 ) )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[125,76]) ).
thf(129,plain,
! [SV60: $i] :
( ( ( in @ SV60 @ ( powerset @ SV60 ) )
= ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false ),
inference(res,[status(thm)],[125,28]) ).
thf(130,plain,
( ( ( powerset @ emptyset )
= ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) )
= $false ),
inference(extuni,[status(esa)],[129:[bind(SV60,$thf( emptyset ))]]) ).
thf(131,plain,
! [SV17: $i > $o,SV16: $i] :
( ( ( in @ SV16
@ ( dsetconstr @ ( powerset @ SV16 )
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( SV17 @ SV16 )
= $false ) ),
inference(extuni,[status(esa)],[126:[bind(SV15,$thf( powerset @ SV16 )),bind(SV60,$thf( SV16 ))]]) ).
thf(138,plain,
! [SV61: $i] :
( ( ( in @ emptyset @ SV61 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(rename,[status(thm)],[54]) ).
thf(142,plain,
! [SV61: $i,SV60: $i] :
( ( ( ( in @ emptyset @ SV61 )
= ( in @ SV60 @ ( powerset @ SV60 ) ) )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(res,[status(thm)],[138,125]) ).
thf(143,plain,
! [SV61: $i,SV15: $i,SV16: $i,SV17: $i > $o] :
( ( ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= ( in @ SV16 @ SV15 ) )
= $false )
| ( ( in @ emptyset @ SV61 )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[138,76]) ).
thf(144,plain,
! [SV61: $i,SV15: $i,SV16: $i,SV17: $i > $o] :
( ( ( ( in @ emptyset @ SV61 )
= ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) ) )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16 @ SV15 )
= $false ) ),
inference(res,[status(thm)],[138,76]) ).
thf(146,plain,
! [SV61: $i,SV13: $i,SV14: $i] :
( ( ( ( in @ emptyset @ SV61 )
= ( in @ SV14 @ ( powerset @ SV13 ) ) )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 )
= $false ) ),
inference(res,[status(thm)],[138,64]) ).
thf(147,plain,
! [SV61: $i,SV13: $i,SV14: $i] :
( ( ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 ) )
= $false )
| ( ( in @ emptyset @ SV61 )
= $false )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $true ) ),
inference(res,[status(thm)],[138,64]) ).
thf(148,plain,
! [SV61: $i,SV11: $i,SV12: $i] :
( ( ( ( in @ emptyset @ SV61 )
= ( in @ SV12 @ ( powerset @ SV11 ) ) )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 )
= $true ) ),
inference(res,[status(thm)],[138,58]) ).
thf(149,plain,
! [SV61: $i,SV11: $i,SV12: $i] :
( ( ( ( in @ emptyset @ SV61 )
= ( in @ ( sK2_Xx @ SV12 @ SV11 ) @ SV12 ) )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true ) ),
inference(res,[status(thm)],[138,58]) ).
thf(150,plain,
! [SV61: $i] :
( ( ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false )
| ( ( in @ emptyset @ SV61 )
= $false ) ),
inference(res,[status(thm)],[138,28]) ).
thf(152,plain,
( ( ( in @ emptyset @ ( powerset @ emptyset ) )
= $false )
| ( ( sK4_E = emptyset )
= $true )
| ( sK1_SY0 = $true ) ),
inference(extuni,[status(esa)],[150:[bind(SV61,$thf( powerset @ emptyset ))]]) ).
thf(153,plain,
( ( ( in @ emptyset @ ( powerset @ emptyset ) )
= $false )
| ( ( sK4_E = emptyset )
= $false )
| ( sK1_SY0 = $false ) ),
inference(extuni,[status(esa)],[150:[bind(SV61,$thf( powerset @ emptyset ))]]) ).
thf(154,plain,
! [SV61: $i] :
( ( ( in @ emptyset @ SV61 )
= $false )
| ( ( ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[150]) ).
thf(155,plain,
! [SV11: $i,SV12: $i] :
( ( ( in @ SV12 @ ( powerset @ SV11 ) )
= $true )
| ( ( in @ emptyset
@ ( dsetconstr @ SV12
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true )
| ( ( emptyset
= ( sK2_Xx @ SV12 @ SV11 ) )
= $false ) ),
inference(extuni,[status(esa)],[149:[bind(SV61,$thf( SV12 ))]]) ).
thf(156,plain,
! [SV11: $i] :
( ( ( in @ ( sK2_Xx @ emptyset @ SV11 ) @ emptyset )
= $true )
| ( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ SV11 )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[148:[bind(SV61,$thf( powerset @ SV11 )),bind(SV12,$thf( emptyset ))]]) ).
thf(157,plain,
! [SV61: $i,SV14: $i] :
( ( ( in @ SV14
@ ( powerset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) ) )
= $true )
| ( ( in @ emptyset @ SV61 )
= $false )
| ( ( emptyset
= ( sK2_Xx @ SV14
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[147:[bind(SV13,$thf( dsetconstr @ SV61 @ ^ [SX0: $i] : ( SX0 = emptyset ) ))]]) ).
thf(158,plain,
! [SV13: $i] :
( ( ( in @ ( sK2_Xx @ emptyset @ SV13 ) @ SV13 )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ SV13 )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[146:[bind(SV61,$thf( powerset @ SV13 )),bind(SV14,$thf( emptyset ))]]) ).
thf(159,plain,
! [SV17: $i > $o,SV15: $i] :
( ( ( in @ emptyset @ SV15 )
= $false )
| ( ( SV17 @ emptyset )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(extuni,[status(esa)],[144:[bind(SV61,$thf( dsetconstr @ SV15 @ ^ [SX0: $i] : ( SV17 @ SX0 ) )),bind(SV16,$thf( emptyset ))]]) ).
thf(160,plain,
! [SV17: $i > $o,SV61: $i] :
( ( ( in @ emptyset
@ ( dsetconstr
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( SV17 @ emptyset )
= $false )
| ( ( in @ emptyset @ SV61 )
= $false ) ),
inference(extuni,[status(esa)],[143:[bind(SV15,$thf( dsetconstr @ SV61 @ ^ [SX0: $i] : ( SX0 = emptyset ) )),bind(SV16,$thf( emptyset ))]]) ).
thf(161,plain,
( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ),
inference(extuni,[status(esa)],[142:[bind(SV61,$thf( powerset @ emptyset )),bind(SV60,$thf( emptyset ))]]) ).
thf(162,plain,
! [SV61: $i] :
( ( ( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= ( in @ emptyset @ SV61 ) )
= $false )
| ( ( in @ emptyset
@ ( dsetconstr @ SV61
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ) ),
inference(res,[status(thm)],[161,138]) ).
thf(164,plain,
! [SV15: $i,SV16: $i,SV17: $i > $o] :
( ( ( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= ( in @ SV16 @ SV15 ) )
= $false )
| ( ( SV17 @ SV16 )
= $false )
| ( ( in @ SV16
@ ( dsetconstr @ SV15
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true ) ),
inference(res,[status(thm)],[161,76]) ).
thf(166,plain,
! [SV13: $i,SV14: $i] :
( ( ( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= ( in @ ( sK2_Xx @ SV14 @ SV13 ) @ SV13 ) )
= $false )
| ( ( in @ SV14 @ ( powerset @ SV13 ) )
= $true ) ),
inference(res,[status(thm)],[161,64]) ).
thf(167,plain,
( ( ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= ( in @ emptyset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) ) )
= $false ),
inference(res,[status(thm)],[161,28]) ).
thf(168,plain,
( ( ( sK5_E = emptyset )
= $true )
| ( sK1_SY0 = $true ) ),
inference(extuni,[status(esa)],[167]) ).
thf(169,plain,
( ( ( sK5_E = emptyset )
= $false )
| ( sK1_SY0 = $false ) ),
inference(extuni,[status(esa)],[167]) ).
thf(170,plain,
( ( ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
= ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : sK1_SY0 ) )
= $false ),
inference(extuni,[status(esa)],[167]) ).
thf(171,plain,
! [SV14: $i] :
( ( ( in @ SV14
@ ( powerset
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) ) )
= $true )
| ( ( emptyset
= ( sK2_Xx @ SV14
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[166:[bind(SV13,$thf( dsetconstr @ ( powerset @ emptyset ) @ ^ [SX0: $i] : ( SX0 = emptyset ) ))]]) ).
thf(172,plain,
! [SV17: $i > $o] :
( ( ( in @ emptyset
@ ( dsetconstr
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
@ ^ [SX0: $i] : ( SV17 @ SX0 ) ) )
= $true )
| ( ( SV17 @ emptyset )
= $false ) ),
inference(extuni,[status(esa)],[164:[bind(SV15,$thf( dsetconstr @ ( powerset @ emptyset ) @ ^ [SX0: $i] : ( SX0 = emptyset ) )),bind(SV16,$thf( emptyset ))]]) ).
thf(173,plain,
( ( in @ emptyset
@ ( dsetconstr
@ ( dsetconstr @ ( powerset @ emptyset )
@ ^ [SX0: $i] : ( SX0 = emptyset ) )
@ ^ [SX0: $i] : ( SX0 = emptyset ) ) )
= $true ),
inference(extuni,[status(esa)],[162:[bind(SV61,$thf( dsetconstr @ ( powerset @ emptyset ) @ ^ [SX0: $i] : ( SX0 = emptyset ) ))]]) ).
thf(174,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,173,172,171,170,169,168,161,160,159,158,157,156,155,154,153,152,138,131,130,125,124,123,122,121,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,92,76,74,73,71,64,63,62,58,56,55,53,28]) ).
thf(175,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU540^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 15:30:32 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 271.07/45.44
% 271.07/45.44 No.of.Axioms: 0
% 271.07/45.44
% 271.07/45.44 Length.of.Defs: 594
% 271.07/45.44
% 271.07/45.44 Contains.Choice.Funs: false
% 271.07/45.44 .eprover: CPU time limit exceeded, terminating
% 271.07/45.44 eprover: CPU time limit exceeded, terminating
% 271.07/45.44 eprover: CPU time limit exceeded, terminating
% 271.07/45.44 ..
% 271.07/45.44
% 271.07/45.44 ********************************
% 271.07/45.44 * All subproblems solved! *
% 271.07/45.44 ********************************
% 271.07/45.44 % SZS status Theorem for /export/starexec/sandbox/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:174,loop_count:10,foatp_calls:4,translation:fof_full)
% 271.07/45.44
% 271.07/45.44 %**** Beginning of derivation protocol ****
% 271.07/45.44 % SZS output start CNFRefutation
% See solution above
% 271.07/45.45
% 271.07/45.45 %**** End of derivation protocol ****
% 271.07/45.45 %**** no. of clauses in derivation: 139 ****
% 271.07/45.45 %**** clause counter: 174 ****
% 271.07/45.45
% 271.07/45.45 % SZS status Theorem for /export/starexec/sandbox/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:174,loop_count:10,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------