TSTP Solution File: SWB007+2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB007+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.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 19:13:11 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 130 ( 105 unt; 10 typ; 0 def)
% Number of atoms : 510 ( 186 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 931 ( 221 ~; 107 |; 25 &; 576 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 11 con; 0-3 aty)
% Number of variables : 116 ( 0 ^ 116 !; 0 ?; 116 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_uri_ex_c,type,
uri_ex_c: $i ).
thf(tp_uri_ex_c1,type,
uri_ex_c1: $i ).
thf(tp_uri_ex_c2,type,
uri_ex_c2: $i ).
thf(tp_uri_ex_p,type,
uri_ex_p: $i ).
thf(tp_uri_ex_w,type,
uri_ex_w: $i ).
thf(tp_uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(tp_uri_rdfs_range,type,
uri_rdfs_range: $i ).
thf(tp_uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
thf(1,axiom,
( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(3,conjecture,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c2 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c2 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).
thf(4,negated_conjecture,
( ( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c2 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c2 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c2 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c2 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c2 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c2 ) )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c2 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(9,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c2 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(10,plain,
( ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c2 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[5]) ).
thf(11,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c2 ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c2 ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c2 ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(14,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(15,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(17,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c2 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(20,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i] :
( ( ! [SY2: $i] :
( ( SV1 != SY2 )
| ( iext @ uri_owl_sameAs @ SV1 @ SY2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i] :
( ( ! [SY3: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV2 @ SY3 )
| ( SV2 = SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1 != SV3 )
| ( iext @ uri_owl_sameAs @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV4: $i,SV2: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV2 @ SV4 )
| ( SV2 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(37,plain,
( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(38,plain,
! [SV3: $i,SV1: $i] :
( ( ( ( SV1 != SV3 ) )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV4: $i,SV2: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV2 @ SV4 ) )
= $true )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV3: $i,SV1: $i] :
( ( ( SV1 = SV3 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV4: $i,SV2: $i] :
( ( ( iext @ uri_owl_sameAs @ SV2 @ SV4 )
= $false )
| ( ( SV2 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(45,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(46,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(47,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(48,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(49,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,48,47,43,42,41,30]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(51,plain,
( ( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(52,plain,
( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c2 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(53,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(54,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(55,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(59,plain,
( ( ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(61,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(62,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(63,plain,
( ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(64,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(65,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(66,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV5: $i] :
( ( ! [SY4: $i] :
( ( SV5 != SY4 )
| ( iext @ uri_owl_sameAs @ SV5 @ SY4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(68,plain,
! [SV6: $i] :
( ( ! [SY5: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV6 @ SY5 )
| ( SV6 = SY5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(69,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(70,plain,
( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(71,plain,
! [SV7: $i,SV5: $i] :
( ( ( SV5 != SV7 )
| ( iext @ uri_owl_sameAs @ SV5 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV8: $i,SV6: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV6 @ SV8 )
| ( SV6 = SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(73,plain,
( ( ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(74,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(75,plain,
! [SV7: $i,SV5: $i] :
( ( ( ( SV5 != SV7 ) )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(76,plain,
! [SV8: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV6 @ SV8 ) )
= $true )
| ( ( SV6 = SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(77,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV7: $i,SV5: $i] :
( ( ( SV5 = SV7 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(79,plain,
! [SV8: $i,SV6: $i] :
( ( ( iext @ uri_owl_sameAs @ SV6 @ SV8 )
= $false )
| ( ( SV6 = SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(80,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(81,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(82,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(83,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(84,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[55,83,82,79,78,74,63]) ).
thf(85,plain,
( ( ! [X: $i,Y: $i] :
( ( X != Y )
| ( iext @ uri_owl_sameAs @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( iext @ uri_owl_sameAs @ X @ Y )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(86,plain,
( ( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
& ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(87,plain,
( ( ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c2 ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(88,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(89,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(90,plain,
( ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(91,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(92,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(93,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(94,plain,
( ( ~ ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(95,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(96,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(97,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(98,plain,
( ( iext @ uri_rdfs_range @ uri_ex_p @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(99,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(101,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
| ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV9: $i] :
( ( ! [SY6: $i] :
( ( SV9 != SY6 )
| ( iext @ uri_owl_sameAs @ SV9 @ SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(103,plain,
! [SV10: $i] :
( ( ! [SY7: $i] :
( ~ ( iext @ uri_owl_sameAs @ SV10 @ SY7 )
| ( SV10 = SY7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(104,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(105,plain,
( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[101]) ).
thf(106,plain,
! [SV11: $i,SV9: $i] :
( ( ( SV9 != SV11 )
| ( iext @ uri_owl_sameAs @ SV9 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV12: $i,SV10: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV10 @ SV12 )
| ( SV10 = SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(108,plain,
( ( ~ ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(109,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(110,plain,
! [SV11: $i,SV9: $i] :
( ( ( ( SV9 != SV11 ) )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV9 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV12: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV10 @ SV12 ) )
= $true )
| ( ( SV10 = SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(112,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
| ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV11: $i,SV9: $i] :
( ( ( SV9 = SV11 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV9 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV12: $i,SV10: $i] :
( ( ( iext @ uri_owl_sameAs @ SV10 @ SV12 )
= $false )
| ( ( SV10 = SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
( ( ~ ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(116,plain,
( ( ~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(117,plain,
( ( iext @ uri_owl_sameAs @ uri_ex_c1 @ uri_ex_c2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(118,plain,
( ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[116]) ).
thf(119,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[90,118,117,114,113,109,98]) ).
thf(120,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[119,49,84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB007+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 02:22:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 2
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:4,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.18/0.42
% 0.18/0.42 ********************************
% 0.18/0.42 * All subproblems solved! *
% 0.18/0.42 ********************************
% 0.18/0.42 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:119,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.43
% 0.18/0.43 %**** Beginning of derivation protocol ****
% 0.18/0.43 % SZS output start CNFRefutation
% See solution above
% 0.18/0.43
% 0.18/0.43 %**** End of derivation protocol ****
% 0.18/0.43 %**** no. of clauses in derivation: 120 ****
% 0.18/0.43 %**** clause counter: 119 ****
% 0.18/0.43
% 0.18/0.43 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:119,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------