TSTP Solution File: SEU649^2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU649^2 : 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 : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:13:39 EDT 2022
% Result : Theorem 1.61s 1.79s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 87 ( 46 unt; 12 typ; 5 def)
% Number of atoms : 458 ( 208 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 828 ( 119 ~; 104 |; 6 &; 558 @)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 155 ( 0 ^ 155 !; 0 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_eqinunit,type,
eqinunit: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_sK1_Xx,type,
sK1_Xx: $i ).
thf(tp_sK2_SY17,type,
sK2_SY17: $i ).
thf(tp_sK3_Xx,type,
sK3_Xx: $i > $i > $i ).
thf(tp_sK4_Xx,type,
sK4_Xx: $i > $i > $i ).
thf(tp_setadjoin,type,
setadjoin: $i > $i > $i ).
thf(tp_setadjoinIL,type,
setadjoinIL: $o ).
thf(tp_setext,type,
setext: $o ).
thf(tp_uniqinunit,type,
uniqinunit: $o ).
thf(tp_upairset2E,type,
upairset2E: $o ).
thf(eqinunit,definition,
( eqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqinunit) ).
thf(setadjoinIL,definition,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL) ).
thf(setext,definition,
( setext
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).
thf(uniqinunit,definition,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniqinunit) ).
thf(upairset2E,definition,
( upairset2E
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upairset2E) ).
thf(1,conjecture,
( setext
=> ( setadjoinIL
=> ( uniqinunit
=> ( eqinunit
=> ( upairset2E
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
= ( setadjoin @ Xx @ emptyset ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjR11) ).
thf(2,negated_conjecture,
( ( setext
=> ( setadjoinIL
=> ( uniqinunit
=> ( eqinunit
=> ( upairset2E
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
= ( setadjoin @ Xx @ emptyset ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) )
=> ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) )
=> ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
= ( setadjoin @ Xx @ emptyset ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,eqinunit,setadjoinIL,setext,uniqinunit,upairset2E]) ).
thf(4,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
= ( setadjoin @ Xx @ emptyset ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ~ ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) )
= ( setadjoin @ Xx @ emptyset ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ( sK1_Xx = sK2_SY17 )
& ( ( setadjoin @ sK1_Xx @ ( setadjoin @ sK2_SY17 @ emptyset ) )
!= ( setadjoin @ sK1_Xx @ emptyset ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK4_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK4_Xx @ B @ A ) @ B ) )
| ( ( in @ ( sK3_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK3_Xx @ B @ A ) @ A ) )
| ( A = B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(13,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( Xx = Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(14,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(15,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ~ ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
| ( Xz = Xx )
| ( Xz = Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(16,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ~ ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
| ( Xz = Xx )
| ( Xz = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(17,plain,
( ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [Xx: $i,Xy: $i] :
( ~ ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
| ( Xx = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK4_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK4_Xx @ B @ A ) @ B ) )
| ( ( in @ ( sK3_Xx @ B @ A ) @ B )
& ~ ( in @ ( sK3_Xx @ B @ A ) @ A ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(21,plain,
( ( ( sK1_Xx = sK2_SY17 )
& ( ( setadjoin @ sK1_Xx @ ( setadjoin @ sK2_SY17 @ emptyset ) )
!= ( setadjoin @ sK1_Xx @ emptyset ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(22,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK4_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( in @ ( sK3_Xx @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( in @ ( sK3_Xx @ SX1 @ SX0 ) @ SX0 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,eqinunit,setadjoinIL,setext,uniqinunit,upairset2E]) ).
thf(23,plain,
( ( ~ ( ( sK1_Xx != sK2_SY17 )
| ~ ( ( ( setadjoin @ sK1_Xx @ ( setadjoin @ sK2_SY17 @ emptyset ) )
!= ( setadjoin @ sK1_Xx @ emptyset ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,eqinunit,setadjoinIL,setext,uniqinunit,upairset2E]) ).
thf(24,plain,
! [SV1: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ~ ( in @ SY19 @ ( setadjoin @ SV1 @ ( setadjoin @ SY18 @ emptyset ) ) )
| ( SY19 = SV1 )
| ( SY19 = SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(25,plain,
! [SV2: $i] :
( ( ! [SY20: $i] :
( ( SV2 != SY20 )
| ( in @ SV2 @ ( setadjoin @ SY20 @ emptyset ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(26,plain,
! [SV3: $i] :
( ( ! [SY21: $i] :
( ~ ( in @ SV3 @ ( setadjoin @ SY21 @ emptyset ) )
| ( SV3 = SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(27,plain,
! [SV4: $i] :
( ( ! [SY22: $i] : ( in @ SV4 @ ( setadjoin @ SV4 @ SY22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(28,plain,
! [SV5: $i] :
( ( ! [SY23: $i] :
( ~ ( ~ ( in @ ( sK4_Xx @ SY23 @ SV5 ) @ SV5 )
| ~ ~ ( in @ ( sK4_Xx @ SY23 @ SV5 ) @ SY23 ) )
| ~ ( ~ ( in @ ( sK3_Xx @ SY23 @ SV5 ) @ SY23 )
| ~ ~ ( in @ ( sK3_Xx @ SY23 @ SV5 ) @ SV5 ) )
| ( SV5 = SY23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(29,plain,
( ( ( sK1_Xx != sK2_SY17 )
| ~ ( ( ( setadjoin @ sK1_Xx @ ( setadjoin @ sK2_SY17 @ emptyset ) )
!= ( setadjoin @ sK1_Xx @ emptyset ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(30,plain,
! [SV6: $i,SV1: $i] :
( ( ! [SY24: $i] :
( ~ ( in @ SY24 @ ( setadjoin @ SV1 @ ( setadjoin @ SV6 @ emptyset ) ) )
| ( SY24 = SV1 )
| ( SY24 = SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(31,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 != SV7 )
| ( in @ SV2 @ ( setadjoin @ SV7 @ emptyset ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(32,plain,
! [SV8: $i,SV3: $i] :
( ( ~ ( in @ SV3 @ ( setadjoin @ SV8 @ emptyset ) )
| ( SV3 = SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(33,plain,
! [SV9: $i,SV4: $i] :
( ( in @ SV4 @ ( setadjoin @ SV4 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(34,plain,
! [SV5: $i,SV10: $i] :
( ( ~ ( ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
| ~ ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 ) )
| ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
( ( ( sK1_Xx != sK2_SY17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ( ( setadjoin @ sK1_Xx @ ( setadjoin @ sK2_SY17 @ emptyset ) )
!= ( setadjoin @ sK1_Xx @ emptyset ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(37,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ~ ( in @ SV11 @ ( setadjoin @ SV1 @ ( setadjoin @ SV6 @ emptyset ) ) )
| ( SV11 = SV1 )
| ( SV11 = SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV7: $i,SV2: $i] :
( ( ( ( SV2 != SV7 ) )
= $true )
| ( ( in @ SV2 @ ( setadjoin @ SV7 @ emptyset ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(39,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( in @ SV3 @ ( setadjoin @ SV8 @ emptyset ) ) )
= $true )
| ( ( SV3 = SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(40,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
| ~ ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 ) ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(41,plain,
( ( sK1_Xx = sK2_SY17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ( ( setadjoin @ sK1_Xx @ ( setadjoin @ sK2_SY17 @ emptyset ) )
!= ( setadjoin @ sK1_Xx @ emptyset ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( ~ ( in @ SV11 @ ( setadjoin @ SV1 @ ( setadjoin @ SV6 @ emptyset ) ) ) )
= $true )
| ( ( ( SV11 = SV1 )
| ( SV11 = SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV7: $i,SV2: $i] :
( ( ( SV2 = SV7 )
= $false )
| ( ( in @ SV2 @ ( setadjoin @ SV7 @ emptyset ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV8: $i,SV3: $i] :
( ( ( in @ SV3 @ ( setadjoin @ SV8 @ emptyset ) )
= $false )
| ( ( SV3 = SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
| ~ ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(47,plain,
( ( ( setadjoin @ sK1_Xx @ ( setadjoin @ sK2_SY17 @ emptyset ) )
= ( setadjoin @ sK1_Xx @ emptyset ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( in @ SV11 @ ( setadjoin @ SV1 @ ( setadjoin @ SV6 @ emptyset ) ) )
= $false )
| ( ( ( SV11 = SV1 )
| ( SV11 = SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(50,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 ) )
= $false )
| ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( SV11 = SV1 )
= $true )
| ( ( SV11 = SV6 )
= $true )
| ( ( in @ SV11 @ ( setadjoin @ SV1 @ ( setadjoin @ SV6 @ emptyset ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV5: $i,SV10: $i] :
( ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true )
| ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(53,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 ) )
= $true )
| ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) ) )
= $true )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV5: $i,SV10: $i] :
( ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false )
| ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
| ( SV5 = SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(56,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(57,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) ) )
= $true )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(58,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 ) )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(59,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
| ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV5: $i,SV10: $i] :
( ( ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
= $true )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(62,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
= $true )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(63,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 ) )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(64,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[60]) ).
thf(65,plain,
! [SV5: $i,SV10: $i] :
( ( ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(66,plain,
! [SV5: $i,SV10: $i] :
( ( ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV10 )
= $true )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV5: $i,SV10: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 ) )
= $true )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV5: $i,SV10: $i] :
( ( ( in @ ( sK3_Xx @ SV10 @ SV5 ) @ SV5 )
= $false )
| ( ( SV5 = SV10 )
= $true )
| ( ( in @ ( sK4_Xx @ SV10 @ SV5 ) @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(69,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,68,66,65,61,51,47,45,44,41]) ).
thf(70,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU649^2 : TPTP v8.1.0. Released v3.7.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 20 13:08:17 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 0
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 963
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.14/0.35 (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)...
% 1.61/1.79
% 1.61/1.79 ********************************
% 1.61/1.79 * All subproblems solved! *
% 1.61/1.79 ********************************
% 1.61/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:69,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.61/1.80
% 1.61/1.80 %**** Beginning of derivation protocol ****
% 1.61/1.80 % SZS output start CNFRefutation
% See solution above
% 1.61/1.80
% 1.61/1.80 %**** End of derivation protocol ****
% 1.61/1.80 %**** no. of clauses in derivation: 70 ****
% 1.61/1.80 %**** clause counter: 69 ****
% 1.61/1.80
% 1.61/1.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:69,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------