TSTP Solution File: SWB031+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWB031+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LnngGzp0oL true
% 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 : 300s
% DateTime : Thu Aug 31 20:16:11 EDT 2023
% Result : Unsatisfiable 44.47s 6.98s
% Output : Refutation 44.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 122 ( 35 unt; 19 typ; 0 def)
% Number of atoms : 385 ( 64 equ; 1 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 973 ( 62 ~; 58 |; 69 &; 662 @)
% ( 42 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 19 usr; 17 con; 0-3 aty)
% ( 53 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 207 ( 56 ^; 149 !; 2 ?; 207 :)
% Comments :
%------------------------------------------------------------------------------
thf(uri_rdfs_Resource_type,type,
uri_rdfs_Resource: $i ).
thf(uri_owl_oneOf_type,type,
uri_owl_oneOf: $i ).
thf(uri_ex_w_type,type,
uri_ex_w: $i ).
thf(ir_type,type,
ir: $i > $o ).
thf('#sk21_type',type,
'#sk21': $i > $i ).
thf('#sk22_type',type,
'#sk22': $i > $i ).
thf('#sk16_type',type,
'#sk16': $i ).
thf(uri_owl_hasKey_type,type,
uri_owl_hasKey: $i ).
thf(uri_owl_equivalentClass_type,type,
uri_owl_equivalentClass: $i ).
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(ic_type,type,
ic: $i > $o ).
thf('#sk15_type',type,
'#sk15': $i ).
thf(uri_rdf_first_type,type,
uri_rdf_first: $i ).
thf(uri_owl_Nothing_type,type,
uri_owl_Nothing: $i ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
thf(uri_rdf_rest_type,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_type,type,
uri_rdf_nil: $i ).
thf(rdfs_ir_def,axiom,
! [X: $i] :
( ( ir @ X )
<=> ( icext @ uri_rdfs_Resource @ X ) ) ).
thf(zip_derived_cl54,plain,
( !!
@ ^ [Y0: $i] :
( ( ir @ Y0 )
<=> ( icext @ uri_rdfs_Resource @ Y0 ) ) ),
inference(cnf,[status(esa)],[rdfs_ir_def]) ).
thf(zip_derived_cl811,plain,
! [X2: $i] :
( ( ir @ X2 )
<=> ( icext @ uri_rdfs_Resource @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl812,plain,
! [X2: $i] :
( ( ir @ X2 )
= ( icext @ uri_rdfs_Resource @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl811]) ).
thf(simple_ir,axiom,
! [X: $i] : ( ir @ X ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] : ( ir @ Y0 ) ),
inference(cnf,[status(esa)],[simple_ir]) ).
thf(zip_derived_cl563,plain,
! [X2: $i] : ( ir @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl813,plain,
! [X2: $i] : ( icext @ uri_rdfs_Resource @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl812,zip_derived_cl563]) ).
thf(owl_key_000,axiom,
! [C: $i] :
( ( iext @ uri_owl_hasKey @ C @ uri_rdf_nil )
<=> ( ! [X: $i,Y: $i] :
( ( ( icext @ C @ Y )
& ( icext @ C @ X ) )
=> ( X = Y ) )
& ( ic @ C ) ) ) ).
thf(zip_derived_cl398,plain,
( !!
@ ^ [Y0: $i] :
( ( iext @ uri_owl_hasKey @ Y0 @ uri_rdf_nil )
<=> ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( icext @ Y0 @ Y2 )
& ( icext @ Y0 @ Y1 ) )
=> ( Y1 = Y2 ) ) ) )
& ( ic @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[owl_key_000]) ).
thf(zip_derived_cl7023,plain,
! [X2: $i] :
( ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
<=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( icext @ X2 @ Y1 )
& ( icext @ X2 @ Y0 ) )
=> ( Y0 = Y1 ) ) ) )
& ( ic @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl398]) ).
thf(zip_derived_cl7024,plain,
! [X2: $i] :
( ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
= ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( icext @ X2 @ Y1 )
& ( icext @ X2 @ Y0 ) )
=> ( Y0 = Y1 ) ) ) )
& ( ic @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7023]) ).
thf(zip_derived_cl7064,plain,
! [X2: $i] :
( ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
| ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( icext @ X2 @ Y1 )
& ( icext @ X2 @ Y0 ) )
=> ( Y0 = Y1 ) ) ) )
& ( ic @ X2 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl7024]) ).
thf(zip_derived_cl7107,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( icext @ X2 @ Y1 )
& ( icext @ X2 @ Y0 ) )
=> ( Y0 = Y1 ) ) ) )
| ~ ( ic @ X2 )
| ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7064]) ).
thf(zip_derived_cl7108,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( icext @ X2 @ Y0 )
& ( icext @ X2 @ ( '#sk21' @ X2 ) ) )
=> ( ( '#sk21' @ X2 )
= Y0 ) ) )
| ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
| ~ ( ic @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7107]) ).
thf(zip_derived_cl7109,plain,
! [X2: $i] :
( ~ ( ( ( icext @ X2 @ ( '#sk22' @ X2 ) )
& ( icext @ X2 @ ( '#sk21' @ X2 ) ) )
=> ( ( '#sk21' @ X2 )
= ( '#sk22' @ X2 ) ) )
| ~ ( ic @ X2 )
| ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7108]) ).
thf(rdfs_cext_def,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( iext @ uri_rdf_type @ Y0 @ Y1 )
<=> ( icext @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[rdfs_cext_def]) ).
thf(zip_derived_cl645,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( iext @ uri_rdf_type @ X2 @ Y0 )
<=> ( icext @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl646,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_rdf_type @ X2 @ X4 )
<=> ( icext @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl645]) ).
thf(zip_derived_cl647,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_rdf_type @ X2 @ X4 )
= ( icext @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl646]) ).
thf(zip_derived_cl647_001,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_rdf_type @ X2 @ X4 )
= ( icext @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl646]) ).
thf(zip_derived_cl7110,plain,
! [X2: $i] :
( ~ ( ( ( iext @ uri_rdf_type @ ( '#sk22' @ X2 ) @ X2 )
& ( iext @ uri_rdf_type @ ( '#sk21' @ X2 ) @ X2 ) )
=> ( ( '#sk21' @ X2 )
= ( '#sk22' @ X2 ) ) )
| ~ ( ic @ X2 )
| ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(demod,[status(thm)],[zip_derived_cl7109,zip_derived_cl647,zip_derived_cl647]) ).
thf(zip_derived_cl7112,plain,
! [X2: $i] :
( ( ( '#sk21' @ X2 )
!= ( '#sk22' @ X2 ) )
| ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
| ~ ( ic @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7110]) ).
thf(zip_derived_cl7115,plain,
! [X2: $i] :
( ( ( '#sk21' @ X2 )
!= ( '#sk22' @ X2 ) )
| ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
| ~ ( ic @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7112]) ).
thf(testcase_premise_fullish_031_Large_Universe,axiom,
? [BNODE_x: $i,BNODE_l: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_owl_Thing @ BNODE_x )
& ( iext @ uri_owl_oneOf @ BNODE_x @ BNODE_l )
& ( iext @ uri_rdf_first @ BNODE_l @ uri_ex_w )
& ( iext @ uri_rdf_rest @ BNODE_l @ uri_rdf_nil ) ) ).
thf(zip_derived_cl558,plain,
( ??
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_owl_Thing @ Y0 )
& ( iext @ uri_owl_oneOf @ Y0 @ Y1 )
& ( iext @ uri_rdf_first @ Y1 @ uri_ex_w )
& ( iext @ uri_rdf_rest @ Y1 @ uri_rdf_nil ) ) ) ),
inference(cnf,[status(esa)],[testcase_premise_fullish_031_Large_Universe]) ).
thf(zip_derived_cl5496,plain,
( ??
@ ^ [Y0: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_owl_Thing @ '#sk15' )
& ( iext @ uri_owl_oneOf @ '#sk15' @ Y0 )
& ( iext @ uri_rdf_first @ Y0 @ uri_ex_w )
& ( iext @ uri_rdf_rest @ Y0 @ uri_rdf_nil ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl558]) ).
thf(zip_derived_cl5497,plain,
( ( iext @ uri_owl_equivalentClass @ uri_owl_Thing @ '#sk15' )
& ( iext @ uri_owl_oneOf @ '#sk15' @ '#sk16' )
& ( iext @ uri_rdf_first @ '#sk16' @ uri_ex_w )
& ( iext @ uri_rdf_rest @ '#sk16' @ uri_rdf_nil ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5496]) ).
thf(zip_derived_cl5498,plain,
iext @ uri_owl_equivalentClass @ uri_owl_Thing @ '#sk15',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5497]) ).
thf(owl_eqdis_equivalentclass,axiom,
! [C1: $i,C2: $i] :
( ( iext @ uri_owl_equivalentClass @ C1 @ C2 )
<=> ( ! [X: $i] :
( ( icext @ C1 @ X )
<=> ( icext @ C2 @ X ) )
& ( ic @ C2 )
& ( ic @ C1 ) ) ) ).
thf(zip_derived_cl350,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( iext @ uri_owl_equivalentClass @ Y0 @ Y1 )
<=> ( ( !!
@ ^ [Y2: $i] :
( ( icext @ Y0 @ Y2 )
<=> ( icext @ Y1 @ Y2 ) ) )
& ( ic @ Y1 )
& ( ic @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[owl_eqdis_equivalentclass]) ).
thf(zip_derived_cl5812,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( iext @ uri_owl_equivalentClass @ X2 @ Y0 )
<=> ( ( !!
@ ^ [Y1: $i] :
( ( icext @ X2 @ Y1 )
<=> ( icext @ Y0 @ Y1 ) ) )
& ( ic @ Y0 )
& ( ic @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl350]) ).
thf(zip_derived_cl5813,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_owl_equivalentClass @ X2 @ X4 )
<=> ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( icext @ X4 @ Y0 ) ) )
& ( ic @ X4 )
& ( ic @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5812]) ).
thf(zip_derived_cl5814,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_owl_equivalentClass @ X2 @ X4 )
= ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( icext @ X4 @ Y0 ) ) )
& ( ic @ X4 )
& ( ic @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5813]) ).
thf(zip_derived_cl5855,plain,
! [X2: $i,X4: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ X2 @ X4 )
| ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( icext @ X4 @ Y0 ) ) )
& ( ic @ X4 )
& ( ic @ X2 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl5814]) ).
thf(zip_derived_cl6349,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( icext @ X4 @ Y0 ) ) )
| ~ ( iext @ uri_owl_equivalentClass @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5855]) ).
thf(zip_derived_cl6352,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( icext @ X2 @ X6 )
<=> ( icext @ X4 @ X6 ) )
| ~ ( iext @ uri_owl_equivalentClass @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6349]) ).
thf(zip_derived_cl6353,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( icext @ X2 @ X6 )
= ( icext @ X4 @ X6 ) )
| ~ ( iext @ uri_owl_equivalentClass @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6352]) ).
thf(zip_derived_cl6354,plain,
! [X0: $i] :
( ( icext @ uri_owl_Thing @ X0 )
= ( icext @ '#sk15' @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5498,zip_derived_cl6353]) ).
thf(owl_class_thing_ext,axiom,
! [X: $i] :
( ( icext @ uri_owl_Thing @ X )
<=> ( ir @ X ) ) ).
thf(zip_derived_cl162,plain,
( !!
@ ^ [Y0: $i] :
( ( icext @ uri_owl_Thing @ Y0 )
<=> ( ir @ Y0 ) ) ),
inference(cnf,[status(esa)],[owl_class_thing_ext]) ).
thf(zip_derived_cl1610,plain,
! [X2: $i] :
( ( icext @ uri_owl_Thing @ X2 )
<=> ( ir @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl1611,plain,
! [X2: $i] :
( ( icext @ uri_owl_Thing @ X2 )
= ( ir @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1610]) ).
thf(zip_derived_cl563_002,plain,
! [X2: $i] : ( ir @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl1612,plain,
! [X2: $i] : ( icext @ uri_owl_Thing @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl1611,zip_derived_cl563]) ).
thf(zip_derived_cl6357,plain,
! [X0: $i] : ( icext @ '#sk15' @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl6354,zip_derived_cl1612]) ).
thf(zip_derived_cl647_003,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_rdf_type @ X2 @ X4 )
= ( icext @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl646]) ).
thf(zip_derived_cl6363,plain,
! [X0: $i] : ( iext @ uri_rdf_type @ X0 @ '#sk15' ),
inference('s_sup+',[status(thm)],[zip_derived_cl6357,zip_derived_cl647]) ).
thf(zip_derived_cl7024_004,plain,
! [X2: $i] :
( ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
= ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( icext @ X2 @ Y1 )
& ( icext @ X2 @ Y0 ) )
=> ( Y0 = Y1 ) ) ) )
& ( ic @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7023]) ).
thf(zip_derived_cl7065,plain,
! [X2: $i] :
( ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
| ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( icext @ X2 @ Y1 )
& ( icext @ X2 @ Y0 ) )
=> ( Y0 = Y1 ) ) ) )
& ( ic @ X2 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl7024]) ).
thf(zip_derived_cl7216,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( icext @ X2 @ Y1 )
& ( icext @ X2 @ Y0 ) )
=> ( Y0 = Y1 ) ) ) )
| ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7065]) ).
thf(zip_derived_cl7218,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( icext @ X2 @ Y0 )
& ( icext @ X2 @ X4 ) )
=> ( X4 = Y0 ) ) )
| ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7216]) ).
thf(zip_derived_cl7219,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( icext @ X2 @ X6 )
& ( icext @ X2 @ X4 ) )
=> ( X4 = X6 ) )
| ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7218]) ).
thf(zip_derived_cl647_005,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_rdf_type @ X2 @ X4 )
= ( icext @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl646]) ).
thf(zip_derived_cl647_006,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_rdf_type @ X2 @ X4 )
= ( icext @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl646]) ).
thf(zip_derived_cl7220,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( ( iext @ uri_rdf_type @ X6 @ X2 )
& ( iext @ uri_rdf_type @ X4 @ X2 ) )
=> ( X4 = X6 ) )
| ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(demod,[status(thm)],[zip_derived_cl7219,zip_derived_cl647,zip_derived_cl647]) ).
thf(zip_derived_cl7221,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( iext @ uri_rdf_type @ X6 @ X2 )
& ( iext @ uri_rdf_type @ X4 @ X2 ) )
| ( X4 = X6 )
| ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7220]) ).
thf(zip_derived_cl7222,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( iext @ uri_rdf_type @ X6 @ X2 )
& ( iext @ uri_rdf_type @ X4 @ X2 ) )
| ( X4 = X6 )
| ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7221]) ).
thf(zip_derived_cl7223,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( iext @ uri_rdf_type @ X6 @ X2 )
| ~ ( iext @ uri_rdf_type @ X4 @ X2 )
| ~ ( iext @ uri_owl_hasKey @ X2 @ uri_rdf_nil )
| ( X4 = X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7222]) ).
thf(zip_derived_cl7253,plain,
! [X0: $i,X1: $i] :
( ~ ( iext @ uri_rdf_type @ X1 @ '#sk15' )
| ~ ( iext @ uri_owl_hasKey @ '#sk15' @ uri_rdf_nil )
| ( X1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6363,zip_derived_cl7223]) ).
thf(zip_derived_cl6363_007,plain,
! [X0: $i] : ( iext @ uri_rdf_type @ X0 @ '#sk15' ),
inference('s_sup+',[status(thm)],[zip_derived_cl6357,zip_derived_cl647]) ).
thf(zip_derived_cl7276,plain,
! [X0: $i,X1: $i] :
( ~ ( iext @ uri_owl_hasKey @ '#sk15' @ uri_rdf_nil )
| ( X1 = X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl7253,zip_derived_cl6363]) ).
thf(zip_derived_cl20039,plain,
! [X0: $i,X1: $i] :
( ~ ( ic @ '#sk15' )
| ( ( '#sk21' @ '#sk15' )
!= ( '#sk22' @ '#sk15' ) )
| ( X0 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7115,zip_derived_cl7276]) ).
thf(zip_derived_cl5498_008,plain,
iext @ uri_owl_equivalentClass @ uri_owl_Thing @ '#sk15',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5497]) ).
thf(owl_prop_equivalentclass_ext,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_equivalentClass @ X @ Y )
=> ( ( ic @ Y )
& ( ic @ X ) ) ) ).
thf(zip_derived_cl201,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( iext @ uri_owl_equivalentClass @ Y0 @ Y1 )
=> ( ( ic @ Y1 )
& ( ic @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[owl_prop_equivalentclass_ext]) ).
thf(zip_derived_cl2737,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( iext @ uri_owl_equivalentClass @ X2 @ Y0 )
=> ( ( ic @ Y0 )
& ( ic @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl2738,plain,
! [X2: $i,X4: $i] :
( ( iext @ uri_owl_equivalentClass @ X2 @ X4 )
=> ( ( ic @ X4 )
& ( ic @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2737]) ).
thf(zip_derived_cl2739,plain,
! [X2: $i,X4: $i] :
( ~ ( iext @ uri_owl_equivalentClass @ X2 @ X4 )
| ( ( ic @ X4 )
& ( ic @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2738]) ).
thf(zip_derived_cl2740,plain,
! [X2: $i,X4: $i] :
( ( ic @ X4 )
| ~ ( iext @ uri_owl_equivalentClass @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2739]) ).
thf(zip_derived_cl5511,plain,
ic @ '#sk15',
inference('s_sup-',[status(thm)],[zip_derived_cl5498,zip_derived_cl2740]) ).
thf(zip_derived_cl20040,plain,
! [X0: $i,X1: $i] :
( ( ( '#sk21' @ '#sk15' )
!= ( '#sk22' @ '#sk15' ) )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20039,zip_derived_cl5511]) ).
thf(zip_derived_cl5500,plain,
iext @ uri_rdf_first @ '#sk16' @ uri_ex_w,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5497]) ).
thf(zip_derived_cl5499,plain,
iext @ uri_owl_oneOf @ '#sk15' @ '#sk16',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5497]) ).
thf(owl_enum_class_001,axiom,
! [Z: $i,S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil )
& ( iext @ uri_rdf_first @ S1 @ A1 ) )
=> ( ( iext @ uri_owl_oneOf @ Z @ S1 )
<=> ( ! [X: $i] :
( ( icext @ Z @ X )
<=> ( X = A1 ) )
& ( ic @ Z ) ) ) ) ).
thf(zip_derived_cl294,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( iext @ uri_rdf_rest @ Y1 @ uri_rdf_nil )
& ( iext @ uri_rdf_first @ Y1 @ Y2 ) )
=> ( ( iext @ uri_owl_oneOf @ Y0 @ Y1 )
<=> ( ( !!
@ ^ [Y3: $i] :
( ( icext @ Y0 @ Y3 )
<=> ( Y3 = Y2 ) ) )
& ( ic @ Y0 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[owl_enum_class_001]) ).
thf(zip_derived_cl7624,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( iext @ uri_rdf_rest @ Y0 @ uri_rdf_nil )
& ( iext @ uri_rdf_first @ Y0 @ Y1 ) )
=> ( ( iext @ uri_owl_oneOf @ X2 @ Y0 )
<=> ( ( !!
@ ^ [Y2: $i] :
( ( icext @ X2 @ Y2 )
<=> ( Y2 = Y1 ) ) )
& ( ic @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl7625,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil )
& ( iext @ uri_rdf_first @ X4 @ Y0 ) )
=> ( ( iext @ uri_owl_oneOf @ X2 @ X4 )
<=> ( ( !!
@ ^ [Y1: $i] :
( ( icext @ X2 @ Y1 )
<=> ( Y1 = Y0 ) ) )
& ( ic @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7624]) ).
thf(zip_derived_cl7626,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil )
& ( iext @ uri_rdf_first @ X4 @ X6 ) )
=> ( ( iext @ uri_owl_oneOf @ X2 @ X4 )
<=> ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( Y0 = X6 ) ) )
& ( ic @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7625]) ).
thf(zip_derived_cl7627,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil )
& ( iext @ uri_rdf_first @ X4 @ X6 ) )
| ( ( iext @ uri_owl_oneOf @ X2 @ X4 )
<=> ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( Y0 = X6 ) ) )
& ( ic @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7626]) ).
thf(zip_derived_cl7628,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil )
& ( iext @ uri_rdf_first @ X4 @ X6 ) )
| ( ( iext @ uri_owl_oneOf @ X2 @ X4 )
= ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( Y0 = X6 ) ) )
& ( ic @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7627]) ).
thf(zip_derived_cl7629,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil )
| ~ ( iext @ uri_rdf_first @ X4 @ X6 )
| ( ( iext @ uri_owl_oneOf @ X2 @ X4 )
= ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( Y0 = X6 ) ) )
& ( ic @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7628]) ).
thf(zip_derived_cl7671,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( iext @ uri_owl_oneOf @ X2 @ X4 )
| ( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( Y0 = X6 ) ) )
& ( ic @ X2 ) )
| ~ ( iext @ uri_rdf_first @ X4 @ X6 )
| ~ ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl7629]) ).
thf(zip_derived_cl7837,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( icext @ X2 @ Y0 )
<=> ( Y0 = X6 ) ) )
| ~ ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil )
| ~ ( iext @ uri_rdf_first @ X4 @ X6 )
| ~ ( iext @ uri_owl_oneOf @ X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7671]) ).
thf(zip_derived_cl7839,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( icext @ X2 @ X8 )
<=> ( X8 = X6 ) )
| ~ ( iext @ uri_owl_oneOf @ X2 @ X4 )
| ~ ( iext @ uri_rdf_first @ X4 @ X6 )
| ~ ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7837]) ).
thf(zip_derived_cl7842,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( icext @ X2 @ X8 )
= ( X8 = X6 ) )
| ~ ( iext @ uri_owl_oneOf @ X2 @ X4 )
| ~ ( iext @ uri_rdf_first @ X4 @ X6 )
| ~ ( iext @ uri_rdf_rest @ X4 @ uri_rdf_nil ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7839]) ).
thf(zip_derived_cl7843,plain,
! [X0: $i,X1: $i] :
( ( ( icext @ '#sk15' @ X0 )
= ( X0 = X1 ) )
| ~ ( iext @ uri_rdf_first @ '#sk16' @ X1 )
| ~ ( iext @ uri_rdf_rest @ '#sk16' @ uri_rdf_nil ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5499,zip_derived_cl7842]) ).
thf(zip_derived_cl6357_009,plain,
! [X0: $i] : ( icext @ '#sk15' @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl6354,zip_derived_cl1612]) ).
thf(zip_derived_cl5501,plain,
iext @ uri_rdf_rest @ '#sk16' @ uri_rdf_nil,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5497]) ).
thf(zip_derived_cl7848,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( iext @ uri_rdf_first @ '#sk16' @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7843,zip_derived_cl6357,zip_derived_cl5501]) ).
thf(zip_derived_cl7849,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( iext @ uri_rdf_first @ '#sk16' @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7848]) ).
thf(zip_derived_cl20041,plain,
! [X0: $i] : ( X0 = uri_ex_w ),
inference('s_sup-',[status(thm)],[zip_derived_cl5500,zip_derived_cl7849]) ).
thf(zip_derived_cl20041_010,plain,
! [X0: $i] : ( X0 = uri_ex_w ),
inference('s_sup-',[status(thm)],[zip_derived_cl5500,zip_derived_cl7849]) ).
thf(zip_derived_cl20041_011,plain,
! [X0: $i] : ( X0 = uri_ex_w ),
inference('s_sup-',[status(thm)],[zip_derived_cl5500,zip_derived_cl7849]) ).
thf(zip_derived_cl20041_012,plain,
! [X0: $i] : ( X0 = uri_ex_w ),
inference('s_sup-',[status(thm)],[zip_derived_cl5500,zip_derived_cl7849]) ).
thf(zip_derived_cl20469,plain,
! [X0: $i,X1: $i] :
( ( uri_ex_w != uri_ex_w )
| ( X0 = X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20040,zip_derived_cl20041,zip_derived_cl20041,zip_derived_cl20041,zip_derived_cl20041]) ).
thf(zip_derived_cl20470,plain,
! [X0: $i,X1: $i] : ( X0 = X1 ),
inference(simplify,[status(thm)],[zip_derived_cl20469]) ).
thf(owl_class_nothing_ext,axiom,
! [X: $i] :
~ ( icext @ uri_owl_Nothing @ X ) ).
thf(zip_derived_cl144,plain,
( !!
@ ^ [Y0: $i] : ( (~) @ ( icext @ uri_owl_Nothing @ Y0 ) ) ),
inference(cnf,[status(esa)],[owl_class_nothing_ext]) ).
thf(zip_derived_cl626,plain,
! [X2: $i] :
~ ( icext @ uri_owl_Nothing @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl21214,plain,
! [X0: $i,X1: $i] :
~ ( icext @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20470,zip_derived_cl626]) ).
thf(zip_derived_cl22705,plain,
$false,
inference('s_sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl21214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWB031+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LnngGzp0oL true
% 0.08/0.29 % Computer : n024.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Aug 27 06:55:53 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Running portfolio for 300 s
% 0.08/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.29 % Python version: Python 3.6.8
% 0.08/0.30 % Running in FO mode
% 0.15/0.56 % Total configuration time : 435
% 0.15/0.56 % Estimated wc time : 1092
% 0.15/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.60 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.70/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.70/0.63 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.70/0.63 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.64 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.70/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.70/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.70/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.20/0.78 % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 44.47/6.98 % Solved by fo/fo1_lcnf.sh.
% 44.47/6.98 % done 1828 iterations in 6.263s
% 44.47/6.98 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 44.47/6.98 % SZS output start Refutation
% See solution above
% 44.47/6.98
% 44.47/6.98
% 44.47/6.98 % Terminating...
% 45.18/7.10 % Runner terminated.
% 45.18/7.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------